planets.frink

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// Functions for calculating the positions of the planets to high accuracy // using the full VSOP87 theory. // // Reference: The citations to chapter numbers and equations are from: // // Meeus, Jean, _Astronomical Algorithms_, Second Edition // which is one of the best technical books I've ever read. // Absolutely recommended. // // http://www.willbell.com/math/mc1.htm use sun.frink // A data structure used to hold planet information. class Planet { // The name of the planet var name // A function to calculate the heliocentric coordinates var coordFunc // A function to calculate the magnitude as seen from earth. var magFunc // The radius of the planet var radius // The mass of the planet var mass // Constructor that takes a name, a function to calculate heliocentric // coordinates, and a function to calculate magnitude new[n, cfunc, mfunc, radius1, mass1] := { name = n coordFunc = cfunc magFunc = mfunc radius = radius1 mass = mass1 } // Returns the heliocentric coordinates at the given time // returns: // [L, B, R] // // Where // L is the heliocentric longitude, // B is the heliocentric latitude // R is the distance from the sun. getCoordinates[date] := { return coordFunc[date] } // Returns the visual magnitude of the planet, as seen from earth, at the // given time. getMagnitude[date] := { return magFunc[date] } // Returns the name of this planet. getName[] := name // Calculates geocentric (as seen from Earth) coordinates of a planet // (other than earth, obviously,) at the specified time. For example, to // see the position of Mars from Earth, you want to call: // [ra, decl] = Planet.Mars.geocentricCoordinates[date] // // returns: // [ra, decl, distance] geocentricCoordinates[date, timeConverge=.1 s, FK5=false] := { // println["geocentricCoordinates: this planet is " + this]; [x,y,z,distance,sunLong] = Planet.Earth.apparentPosition[date, this, timeConverge] lambda = arctan[y,x] beta = z / sqrt[x^2+y^2] // eq. 33.2 // println["lambda is " + ((lambda mod circle) -> "degrees")] // println["beta is " + (beta -> "degrees")] // This is from Meeus ch. 23, before eq. 23.2 e = earthEccentricity[date] T = meeusT[date] longPi = (102.93735 + 1.71946 T + .00046 T^2) degrees // println["e=$e"] // println["longPi = " + (longPi->"degrees")] // println["sunLong = " + (sunLong->"degrees")] // Eq. 23.2 k = 20.49552 arcsec deltaLambda = (-k cos[sunLong - lambda] + e k cos[longPi-lambda])/cos[beta] deltaBeta = -k sin[beta] ( sin[sunLong - lambda] - e sin[longPi - lambda]) // println["deltaLambda is " + ((deltaLambda) -> "degrees")] // println["deltaBeta is " + (deltaBeta -> "degrees")] lambda = lambda + deltaLambda beta = beta + deltaBeta // println["New lambda is " + ((lambda mod circle) -> "degrees")] // println["New beta is " + (beta -> "degrees")] if (FK5) { [deltaLambda, deltaBeta] = correctionDynamicalToFK5[date, lambda, beta] lambda = lambda + deltaLambda beta = beta + deltaBeta } // println["deltaLambda is " + ((deltaLambda) -> "degrees")] // println["deltaBeta is " + (deltaBeta -> "degrees")] // println["New lambda is " + ((lambda mod circle) -> "degrees")] // println["New beta is " + (beta -> "degrees")] // Correct for nutation [deltapsi, deltaepsilon] = highAccuracyNutation[date] // println["deltaPsi is " + ((deltapsi) -> "arcsec")] // println["deltaEpsilon is " + (deltaepsilon -> "arcsec")] lambda = lambda + deltapsi // println["New lambda is " + ((lambda mod circle) -> "degrees")] epsilon = trueObliquityOfEcliptic[date] // println["Epsilon is " + (epsilon -> "degrees")] [alpha, delta] = eclipticalToRADecl[lambda, beta, epsilon] return [alpha, delta, distance] } /* Find the apparent position of one planet from this planet at the specified time. See chapter 33 in Meeus. Arguments: date: The date to calculate for toPlanet: a Planet reference for the planet you're looking at. timeConvergence: An iteration limit which is needed for solving these equations for moving planets. When the correction to the solution is less than this time, the result is considered to have converged. The default should be more than adequate. For example, looking from Earth to Venus, you'd do something like: Planet.Earth.apparentPosition[now[], Planet.Venus] This is the position you'd want to point your antenna or telescope to see or receive from the planet (with speed-of-light delay). Compare this with the targetPosition function which is where you'd want to point your antenna or telescope to *transmit to* the planet with speed-of-light delay. returns: [x, y, z, dist, L0, L, B, R] where: [x, y, z]: the rectangular 3-d coordinates of the planet dist: the true distance between centers of those planets at the moment. L0: the heliocentric longitude of the planet viewing from [L, B, R]: the heliocentric longitude, latitude and distance from sun of the target planet. */ apparentPosition[date, toPlanet is Planet, timeConverge=.1 s] := { // println["FromPlanet is " + this]; // println["toPlanet is " + toPlanet]; // Calculate the heliocentric coordinates of the "from" planet. [L0, B0, R0] = getCoordinates[date] oldLightTime = 0 s var x var y var z var d do { [L,B,R] = toPlanet.getCoordinates[date - oldLightTime] [x,y,z,d] = distanceBetweenSphericalCoordinates[L,B,R, L0,B0,R0] lightTime = d/c err = lightTime - oldLightTime oldLightTime = lightTime // println["$x $y $z $d $err"] } while err > timeConverge return[x, y, z, d, L0+180 deg, L, B, R] } /* Find the target position of one planet from this planet at the specified time. See chapter 33 in Meeus. Arguments: date: The date to calculate for toPlanet: a Planet reference for the planet you're looking at. timeConvergence: An iteration limit which is needed for solving these equations for moving planets. When the correction to the solution is less than this time, the result is considered to have converged. The default should be more than adequate. For example, looking from Earth to Venus, you'd do something like: Planet.Earth.targetPosition[now[], Planet.Venus] This is the position you'd want to point your antenna or telescope to transmit *to* the planet (with speed-of-light delay). Compare this with the apparentPosition function which is where you'd want to point your antenna or telescope to *see* the planet. returns: [x, y, z, dist, L0, L, B, R] where: [x, y, z]: the rectangular 3-d coordinates of the planet dist: the true distance between centers of those planets at the moment. L0: the heliocentric longitude of the planet viewing from [L, B, R]: the heliocentric longitude, latitude and distance from sun of the target planet. */ targetPosition[date, toPlanet is Planet, timeConverge=.1 s] := { // println["FromPlanet is " + this]; // println["toPlanet is " + toPlanet]; // Calculate the heliocentric coordinates of the "from" planet. [L0, B0, R0] = getCoordinates[date] oldLightTime = 0 s var x var y var z var d do { [L,B,R] = toPlanet.getCoordinates[date + oldLightTime] [x,y,z,d] = distanceBetweenSphericalCoordinates[L,B,R, L0,B0,R0] lightTime = d/c err = lightTime - oldLightTime oldLightTime = lightTime //println["$x $y $z $d $err"] } while err > timeConverge return[x, y, z, d, L0+180 deg, L, B, R] } /** Calculate the one-way light time and distance from this planet to another. Arguments: date: The date to calculate for toPlanet: a Planet reference for the planet you're looking at. timeConvergence: An iteration limit which is needed for solving these equations for moving planets. When the correction to the solution is less than this time, the result is considered to have converged. The default should be more than adequate. For example, looking from Earth to Venus, you'd do something like: Planet.Earth.oneWayLightTimeAndDistance[now[], Planet.Venus] returns [time, distance] */ oneWayLightTimeAndDistance[date, toPlanet is Planet, timeConverge=.1 s] := { [x,y,z,d] = targetPosition[date, toPlanet, timeConverge] time = d/c return [time, d] } /** Calculate the roundtrip light time and distance from this planet to another. This takes into account the speed of light and the movement of the planets in the interim. Arguments: date: The initial date to calculate for toPlanet: a Planet reference for the planet you're looking at. timeConvergence: An iteration limit which is needed for solving these equations for moving planets. When the correction to the solution is less than this time, the result is considered to have converged. The default should be more than adequate. For example, looking from Earth to Venus, you'd do something like: Planet.Earth.roundtripLightTimeAndDistance[now[], Planet.Mars] returns [time, distance] */ roundtripLightTimeAndDistance[date, toPlanet is Planet, timeConverge=.1 s] := { [t1, d1] = oneWayLightTimeAndDistance[date, toPlanet, timeConverge] [t2, d2] = toPlanet.oneWayLightTimeAndDistance[date+t1, this, timeConverge] return [t1+t2, d1+d2] } // Calculate the azimuth and altitude of a planet as seen from earth. // Arguments: // [date, planet, lat, long] // // date: time of observation // planet: An object of type Planet // lat: Latitude of observer (North is positive) // long: Longitude of observer (West is positive) // // Returns: // [azimuth, altitude] as angles. Azimuth is calculated as angle west from // south. To get compass bearing, use // (azimuth + 180 degrees) mod circle // // Implements equations 13.5 and 13.6 from Meeus. // NOTE: This is not corrected for refraction nor parallax! These are // geocentric coordinates, that is, relative to the center of the earth. // Due to parallax, the altitude figure may be significantly in error for // nearby bodies like the moon. To get the corrected altitudes, use the // refractedAzimuthAltitude method below. // // returns: // [azimuth, altitude] airlessAzimuthAltitude[date, lat, long, timeConverge =.1 s] := { [ra,decl] = geocentricCoordinates[date, timeConverge] return airlessAzimuthAltitude[date, ra, decl, lat, long] } /** A deprecated alias for airlessAzimuthAltitude */ getAirlessAzimuthAltitude[date, lat, long, timeConverge =.1 s] := { airlessAzimuthAltitude[date, lat, long, timeConverge] } // Calculate the apparent azimuth and altitude of an object with atmospheric // refraction and parallax corrections. // Arguments: // [date, planet, lat, long, distance, temp, pressure] // // date: time of observation // planet: An object of type Planet // lat: Latitude of observer (North is positive) // long: Longitude of observer (West is positive) // temp: Temperature of atmosphere // pressure: Atmospheric pressure // // Returns: // [azimuth, altitude] as angles. Azimuth is calculated as angle west from // south. To get compass bearing, use // (azimuth + 180 degrees) mod circle // // Implements equations 13.5 and 13.6 from Meeus. // refractedAzimuthAltitude[date, lat, long, temp=283K, pressure=1010 millibars, timeConverge = .1 s] := { // println["In refractedAzimuthAltitude"] [azimuth, altitude] = airlessAzimuthAltitude[date, lat, long, timeConverge] distance = trueDistance[date, Planet.Earth, this] // println["Distance is " + (distance-> "au")] altitude = altitude - parallaxAngleAlt[distance, altitude] // println["Parallax angle is " + (parallaxAngleAlt[distance, altitude] -> "degrees")] corrAltitude = altitude + refractionAngle[altitude, temp, pressure] return[azimuth, corrAltitude] } /** Returns the angular separation of two planets as seen from a specific point on Earth. This corrects for parallax and refraction and is suitable for finding closest approach of two planets. */ class angularSeparation[planet1, planet2, date, lat, long, temp=283 K, pressure=1010 millibars, timeConverge = .1 s] := { [az1, alt1] = planet1.refractedAzimuthAltitude[date, lat, long, temp, pressure, timeConverge] [az2, alt2] = planet2.refractedAzimuthAltitude[date, lat, long, temp, pressure, timeConverge] return angularSeparation[az1, alt1, az2, alt2] } /** Returns the airless angular separation of two planets as seen from a specific point on Earth. This corrects for parallax. */ class airlessAngularSeparation[planet1, planet2, date, lat, long, timeConverge = .1 s] := { [az1, alt1] = planet1.airlessAzimuthAltitude[date, lat, long, timeConverge] [az2, alt2] = planet2.airlessAzimuthAltitude[date, lat, long, timeConverge] return angularSeparation[az1, alt1, az2, alt2] } // Secant method solver to find when a planet is at a given azimuth to // an observer at the specified latitude and longitude on the Earth. // It takes a first guess at date1 and adds an hour to that to find // its two starting points. // // This function corrects for refraction. // // This currently doesn't handle the case where the planet doesn't pass // through the desired azimuth on that date and may give unpredictable // results in this case or the case where the initial guess is far off. // // desiredAzimuth should be specified in the coordinate system specified by // Meeus, which is angle west of south. To convert from normal true compass // bearings, use (trueAzimuth + 180 degrees) mod circle secantAzimuth[date1, lat, long, desiredAzimuth, temperature = 283 K, pressure=1010 millibars ] := { date2 = date1 + 5 minutes [azimuth1, altitude1] = refractedAzimuthAltitude[date1, lat, long, temperature, pressure] azimuth1 = azimuth1 - desiredAzimuth // Now correct if we're way off // if (abs[azimuth1] > 90 degrees) // azimuth1 = azimuth1 + ???? [azimuth2, altitude2] = refractedAzimuthAltitude[date2, lat, long, temperature, pressure] azimuth2 = azimuth2 - desiredAzimuth // println["Azimuth 1: " + (azimuth1 -> "deg")] // println["Azimuth 2: " + (azimuth2 -> "deg")] while (true) { // Don't overcorrect... if we're correcting more than half a phase // from the initial guess, then go back a phase. if azimuth1 > 180 degrees azimuth1 = azimuth1 - circle if azimuth1 < -180 degrees azimuth1 = azimuth1 + circle if azimuth2 > 180 degrees azimuth2 = azimuth2 - circle if azimuth2 < -180 degrees azimuth2 = azimuth2 + circle // did we wrap around the circle? if abs[azimuth1 - azimuth2] > 180 degrees if (azimuth1 < azimuth2) azimuth2 = azimuth2 - circle else azimuth1 = azimuth1 - circle correction = (azimuth1 * (date1 - date2)) / (azimuth1-azimuth2) date = date1 - correction // println[date] if abs[correction] < 1 second return date date2 = date1 date1 = date azimuth2 = azimuth1 [azimuth1, altitude1] = refractedAzimuthAltitude[date, lat, long, temperature, pressure] azimuth1 = azimuth1 - desiredAzimuth } } // Secant method solver to find when a planet is at a given altitude to // an observer at the specified latitude and longitude on the Earth. // It takes a first guess at date1 and adds an hour to that to find // its two starting points. // // This function corrects for refraction. // // This currently doesn't handle the case where the planet doesn't pass // through the desired altitude on that date and may give unpredictable // results in this case or the case where the initial guess is far off. secantAltitude[date1, lat, long, desiredAltitude, temperature = 283 K, pressure=1010 millibars ] := { date2 = date1 + 5 minutes [azimuth1, altitude1] = refractedAzimuthAltitude[date1, lat, long, temperature, pressure] [azimuth2, altitude2] = refractedAzimuthAltitude[date2, lat, long, temperature, pressure] altitude1 = altitude1 - desiredAltitude altitude2 = altitude2 - desiredAltitude // println["Altitude 1: $altitude1"] // println["Altitude 2: $altitude2"] while (true) { correction = (altitude1 * (date1 - date2)) / (altitude1-altitude2) date = date1 - correction // println[date] if abs[correction] < 1 second return date date2 = date1 date1 = date altitude2 = altitude1 [azimuth1, altitude1] = refractedAzimuthAltitude[date, lat, long, temperature, pressure] altitude1 = altitude1 - desiredAltitude } } // Calculates the phase angle of this planet (as seen from Earth) // for the specified date. // Returns i, the phase angle of the planet. // See chapter 41 in Meeus. phaseAngle[date] := { arccos[cosPhaseAngle[date, Planet.Earth]] } // Calculates the phase angle of the target planet // (as seen from this planet) for the specified date. // Returns i, the phase angle of the planet. // See chapter 41 in Meeus. phaseAngle[date, toPlanet is Planet] := { arccos[toPlanet.cosPhaseAngle[date, this]] } // Calculates the *cosine* of the phase angle of this planet, as seen from // fromPlanet, for a given // date. This is eq. 41.3 in Meeus. The cosine of the angle is returned // as it's easier to use it in the illuminatedFraction[date] function. // For calculating the phase angle directly, use the phaseAngle function // above. cosPhaseAngle[date, fromPlanet is Planet] := { [L, B, R] = getCoordinates[date] [L0, B0, R0] = fromPlanet.getCoordinates[date] [x,y,z,dist] = distanceBetweenSphericalCoordinates[L, B, R, L0, B0, R0] return (R - R0 cos[B] cos[L-L0])/dist // Eq. 41.3 (returns cos[i]) } // Returns the illuminated fraction of a planet for the given date, as // seen from Earth. // This is calculated by equations 41.1 in Meeus. illuminatedFraction[date] := { (1 + cosPhaseAngle[date, Planet.Earth])/2 // Eq. 41.1 } // Returns the radius angle of this planet, as seen from the earth. radiusAngle[date] := { return Planet.Earth.radiusAngle[date, this] } // Returns the radius angle of the specified planet, as seen // from this planet, corrected for distance, but not // corrected for refraction radiusAngle[date, toPlanet is Planet] := { [L, B, R] = toPlanet.getCoordinates[date] [L0, B0, R0] = getCoordinates[date] [x,y,z,dist] = distanceBetweenSphericalCoordinates[L, B, R, L0, B0, R0] toRadius = toPlanet.radius return arcsin[toRadius / (toRadius + dist)] } // The position angle of the planet's bright limb, reckoned eastward from // the North Point of Earth. limbPositionAngle[date] := { [alpha0, delta0] = sunApparentRADecl[date] [alpha, delta] = getCoordinates[date] return arctan[cos[delta0] sin[alpha0 - alpha], sin[delta0] cos[delta] - cos[delta0] sin[delta] cos[alpha0-alpha]] } // The position angle of the planet's bright limb, reckoned "eastward" (?) // from the zenith. Note that this gives the direction *counterclockwise* // from the zenith as seen from an observer standing on earth. // The "eastward" terminology is confusing. // This is equation 48.5 in Meeus. limbPositionAngleRelativeToZenith[date, lat, long] := { chi = limbPositionAngle[date] [ra, decl] = geocentricCoordinates[date] q = parallacticAngle[date, lat, long, ra, decl] return chi - q } // Returns a GeneralPath that represents the position of the planet as // seen from Earth. // This should be added to a graphics object with the graphics.add[x] method // Params: // date: The date to draw for // lat, long: The latitude and longitude of the viewing location // cx, cy: center coordinates to draw to // radius: radius to draw moon // filled: boolean flag describing whether to fill polygon. drawPolygonRelativeToZenith[date, lat, long, cx, cy, radius, filled] := { return drawSunlitPolygon[cx, cy, radius, limbPositionAngleRelativeToZenith[date, lat, long], illuminatedFraction[date], filled] } // Calculate the time when the planet just crosses the // horizon. // Returns undef if the sun does not rise or set on that date at that // latitude. rise[date, lat, long, temp = 283 K, pressure=1010 millibars ] := { [ra, decl] = geocentricCoordinates[date] [rise, set] = approxRiseSet[date, lat, long, ra, decl] // println["Rise guess is $rise"] if rise == undef return undef else return secantAltitude[rise, lat, long, 0 arcmin, temp, pressure] } // Calculate the time when the planet just crosses the // horizon. // Returns undef if the sun does not rise or set on that date at that // latitude. set[date, lat, long, temp = 283 K, pressure=1010 millibars ] := { [ra, decl] = geocentricCoordinates[date] [rise, set] = approxRiseSet[date, lat, long, ra, decl] // println["Rise guess is $rise"] if set == undef return undef else return secantAltitude[set, lat, long, 0 arcmin, temp, pressure] } // Calculate the time of the planet's transit as seen from Earth.) transit[date, lat, long, temp = 283 K, pressure=1010 millibars ] := { [ra, decl] = geocentricCoordinates[date] approxTransit = approxTransit[date, long, ra, decl] // println["Approximate transit is $approxTransit"] [az, alt] = refractedAzimuthAltitude[approxTransit, lat, long, temp, pressure] // This is unstable when the planet is directly overhead, so we'll // correct a bit (getting the same answer.) if (alt > 85 degrees) { // println["azimuth is " + (az->"degrees")] // println["altitude is " + (alt->"degrees")] // println["Correcting."] if lat > 0 degrees lat = lat + 5 degrees else lat = lat - 5 degrees [az, alt] = refractedAzimuthAltitude[approxTransit, lat, long] } // println["azimuth is " + (az->"degrees")] // println["altitude is " + (alt->"degrees")] if abs[az] < 90 degrees // North of moon, looking south. targetAz = 0 degrees else targetAz = 180 degrees return secantAzimuth[approxTransit, lat, long, targetAz, temp, pressure] } // Data below this point is the output of vsop87.frink and should not be // modified by hand! // ---------------------------------------------------------------------- // // Mercury // // This function calculates the heliocentric coordinates of Mercury // referred to the mean equinox *of the date*. You may want to convert this // to another coordinate system, such as FK5. // // arguments: // d: the date/time to be calculated for // // returns: // [L, B, R] // // Where // L is the heliocentric longitude, // B is the heliocentric latitude // R is the distance from the sun. class var MercuryHeliocentricCoordinates = {|d| tau = meeusT[d] / 10 L0 = 5e-11 * cos[1.14175711692 + 188898.39784101078 * tau] + 4e-11 * cos[2.66996288682 + 25572.43927048119 * tau] + 4e-11 * cos[4.17772291197 + 53132.09543911899 * tau] + 4e-11 * cos[5.34965278511 + 24787.0763233692 * tau] + 4e-11 * cos[5.1333479743 + 26387.0295358434 * tau] + 5e-11 * cos[4.46570663623 + 104237.17327761157 * tau] + 5e-11 * cos[2.2014651331 + 82865.65954368559 * tau] + 4e-11 * cos[2.91542426579 + 130215.17091216908 * tau] + 4e-11 * cos[2.9409789397 + 129902.71119577558 * tau] + 4e-11 * cos[6.14515791357 + 34102.10134449819 * tau] + 4e-11 * cos[1.10868110225 + 52072.0240945678 * tau] + 4e-11 * cos[6.24881318031 + 18073.7049386502 * tau] + 5e-11 * cos[2.50519016528 + 79845.66877300559 * tau] + 5e-11 * cos[2.12658067178 + 130542.60848208958 * tau] + 4e-11 * cos[4.56426377076 + 46131.577701773 * tau] + 4e-11 * cos[4.90170477242 + 104888.41707839219 * tau] + 4e-11 * cos[6.27884818175 + 170068.84005193636 * tau] + 4e-11 * cos[2.90835831307 + 61299.38303816579 * tau] + 4e-11 * cos[3.59370682931 + 46564.4708559004 * tau] + 4e-11 * cos[2.33941435272 + 23389.451694197 * tau] + 5e-11 * cos[0.93391333656 + 52102.50915728939 * tau] + 4e-11 * cos[2.18529936793 + 23384.2869868986 * tau] + 4e-11 * cos[4.40507427126 + 129483.22655190038 * tau] + 4e-11 * cos[0.00216060134 + 213255.17862965238 * tau] + 5e-11 * cos[3.64294402198 + 27331.3907432526 * tau] + 4e-11 * cos[1.10749672173 + 51086.09749195479 * tau] + 4e-11 * cos[1.28935961583 + 234364.53008329177 * tau] + 6e-11 * cos[2.35439456378 + 139543.42270198859 * tau] + 5e-11 * cos[1.4054582464 + 233202.05537888398 * tau] + 5e-11 * cos[0.36682731238 + 146505.58156934578 * tau] + 5e-11 * cos[3.5709323278 + 53654.67285721279 * tau] + 5e-11 * cos[4.61789756581 + 20894.5360827764 * tau] + 6e-11 * cos[4.68979746906 + 26149.62911631439 * tau] + 6e-11 * cos[0.00392034365 + 73891.83305794839 * tau] + 5e-11 * cos[0.08842684725 + 27993.3679065146 * tau] + 5e-11 * cos[3.59670550074 + 131072.29944718418 * tau] + 6e-11 * cos[4.21216601811 + 182595.65223011958 * tau] + 6e-11 * cos[0.5782905701 + 50600.9604818662 * tau] + 5e-11 * cos[4.04820376371 + 129277.04100346318 * tau] + 5e-11 * cos[2.69389382491 + 180496.55813064099 * tau] + 6e-11 * cos[0.84754795471 + 104466.051854982 * tau] + 5e-11 * cos[2.71005052987 + 104427.87863757239 * tau] + 5e-11 * cos[3.77056538505 + 164407.50800278416 * tau] + 6e-11 * cos[0.20069428083 + 50490.75416064679 * tau] + 5e-11 * cos[0.80991017339 + 25661.9943650602 * tau] + 6e-11 * cos[3.62607025643 + 27883.16158529519 * tau] + 5e-11 * cos[5.35670104895 + 26513.8119180882 * tau] + 7e-11 * cos[5.00361119157 + 209762.60706278277 * tau] + 5e-11 * cos[2.46087822928 + 156681.19765992998 * tau] + 7e-11 * cos[2.86077141334 + 179172.74704605396 * tau] + 5e-11 * cos[3.98361684334 + 54862.5283776896 * tau] + 5e-11 * cos[3.20880924837 + 259769.65286364855 * tau] + 5e-11 * cos[4.47086994598 + 27360.58416720139 * tau] + 6e-11 * cos[2.47972848111 + 266540.36346489414 * tau] + 5e-11 * cos[5.69376389474 + 52400.1510788503 * tau] + 6e-11 * cos[4.66124811472 + 65717.22748563958 * tau] + 7e-11 * cos[2.57540094308 + 77218.55458853499 * tau] + 6e-11 * cos[2.17116807817 + 156373.64003896038 * tau] + 5e-11 * cos[0.08842088266 + 79859.89586700719 * tau] + 6e-11 * cos[1.00031747475 + 51538.81001112419 * tau] + 6e-11 * cos[1.48244229587 + 260349.34045064733 * tau] + 6e-11 * cos[1.44535366888 + 20043.6745601988 * tau] + 6e-11 * cos[1.86021237763 + 96471.52341295779 * tau] + 5e-11 * cos[4.19687137282 + 111032.83741969639 * tau] + 8e-11 * cos[0.55724966367 + 129806.73196855778 * tau] + 7e-11 * cos[1.76338847974 + 55484.27217852879 * tau] + 6e-11 * 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cos[2.50978165702 + 78903.60671103658 * tau] + 5.3e-10 * cos[2.00748586733 + 24448.8336243862 * tau] + 6.1e-10 * cos[1.63440457571 + 61.7259747402 * tau] + 5.2e-10 * cos[2.13323028898 + 44295.7171298094 * tau] + 6.6e-10 * cos[3.17005690509 + 78039.36462902068 * tau] + 7.2e-10 * cos[0.83460657204 + 22909.7573510066 * tau] + 5.2e-10 * cos[2.6059599715 + 78160.61665050399 * tau] + 5.4e-10 * cos[3.90599349467 + 123758.29085447139 * tau] + 6.2e-10 * cos[1.19998944516 + 26083.97098831109 * tau] + 5.3e-10 * cos[2.88564903323 + 101011.00013959699 * tau] + 6.8e-10 * cos[2.36358626958 + 25953.79409198919 * tau] + 5.5e-10 * cos[0.21233757772 + 2221.856634597 * tau] + 5.4e-10 * cos[4.63708190151 + 51329.7234483972 * tau] + 6.8e-10 * cos[4.68765980625 + 77307.42026875199 * tau] + 7.7e-10 * cos[6.17301946895 + 25032.45336464809 * tau] + 5.5e-10 * cos[2.49038254003 + 22625.658435709 * tau] + 5.7e-10 * cos[2.0756938708 + 17893.6278083656 * tau] + 5.8e-10 * cos[4.06522187846 + 32132.1317229496 * tau] + 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cos[5.77857196635 + 40853.142184844 * tau] + 8.855e-8 * cos[2.84672636028 + 25035.6347583858 * tau] + 9.664e-8 * cos[5.77941968495 + 25938.3399444396 * tau] + 8.977e-8 * cos[3.47888073089 + 91785.46086631398 * tau] + 9.677e-8 * cos[2.98527809776 + 59414.4818747484 * tau] + 1.1146e-7 * cos[3.78292300417 + 26301.2022370122 * tau] + 1.1543e-7 * cos[4.17789167759 + 103242.23401420339 * tau] + 8.961e-8 * cos[0.11062526114 + 62389.09182935939 * tau] + 9.264e-8 * cos[4.02987000812 + 467.9649903544 * tau] + 9.747e-8 * cos[3.83976857418 + 26084.0218062162 * tau] + 9.362e-8 * cos[5.44291958209 + 38654.05484155699 * tau] + 9.803e-8 * cos[2.26706433546 + 26091.7844769322 * tau] + 9.950e-8 * cos[2.0459444888 + 48733.23133818299 * tau] + 1.2412e-7 * cos[2.22280944169 + 77837.11123384659 * tau] + 1.1632e-7 * cos[2.3849686026 + 79219.30916633119 * tau] + 1.3392e-7 * cos[4.51750784605 + 26080.78959457339 * tau] + 1.1233e-7 * cos[2.04817126136 + 32370.9789915656 * tau] + 1.4381e-7 * cos[1.90956715654 + 23969.1392811958 * tau] + 1.1990e-7 * cos[6.20492907598 + 18849.2275499742 * tau] + 1.4428e-7 * cos[0.96646356501 + 26107.57290247399 * tau] + 1.3978e-7 * cos[2.30193139916 + 76674.63652943878 * tau] + 1.3387e-7 * cos[0.76564655407 + 56727.7597802072 * tau] + 1.4938e-7 * cos[1.83542009339 + 99799.65906923798 * tau] + 1.7176e-7 * cos[3.26084092971 + 153.7788104848 * tau] + 1.7244e-7 * cos[0.28394746813 + 51220.20654153979 * tau] + 1.4186e-7 * cos[5.14246797066 + 26068.2333806744 * tau] + 1.4176e-7 * cos[6.12394176563 + 53235.18821333759 * tau] + 1.8586e-7 * cos[4.52709871258 + 28306.66024576099 * tau] + 1.7576e-7 * cos[4.71742326981 + 25874.6040461362 * tau] + 2.2407e-7 * cos[1.02520094825 + 105460.99111839019 * tau] + 1.7803e-7 * cos[3.61202297483 + 110012.94461544899 * tau] + 2.2247e-7 * cos[3.22418265191 + 25448.00585526019 * tau] + 2.7086e-7 * cos[0.08501738669 + 63498.47038145279 * tau] + 2.2908e-7 * cos[2.58462026514 + 68050.42387851159 * tau] + 2.3656e-7 * cos[2.84168536986 + 260879.03141574195 * tau] + 2.6751e-7 * cos[1.06145361792 + 3442.5749449654 * tau] + 2.4252e-7 * cos[4.39994170609 + 7.1135470008 * tau] + 2.2275e-7 * cos[2.17909842576 + 52705.49724824299 * tau] + 2.2047e-7 * cos[4.93398225193 + 72602.37737557039 * tau] + 2.2347e-7 * cos[5.65335125838 + 77734.01845962799 * tau] + 2.7504e-7 * cos[0.98010127839 + 45892.73043315699 * tau] + 2.9538e-7 * cos[0.69771244088 + 213.299095438 * tau] + 2.6253e-7 * cos[0.64807043102 + 1589.0728952838 * tau] + 2.6215e-7 * cos[5.24158618719 + 22645.32819660879 * tau] + 2.8496e-7 * cos[0.65048992658 + 426.598190876 * tau] + 3.0800e-7 * cos[5.77017310191 + 103292.23063610759 * tau] + 3.4044e-7 * cos[0.47470299167 + 65697.55772473979 * tau] + 3.5964e-7 * cos[1.4238083863 + 2218.7571041868 * tau] + 3.0560e-7 * cos[5.84045074182 + 43071.8992890308 * tau] + 3.3951e-7 * cos[2.78618091049 + 14765.2390432698 * tau] + 3.5392e-7 * cos[3.36964859355 + 36301.18868778519 * tau] + 4.8007e-7 * cos[5.49260554912 + 51749.20809227239 * tau] + 3.5627e-7 * cos[0.81390126585 + 32858.61374281979 * tau] + 3.8045e-7 * cos[2.43117327523 + 12566.1516999828 * tau] + 4.1882e-7 * cos[5.19309298528 + 6283.0758499914 * tau] + 4.4744e-7 * cos[1.22366857463 + 77154.33087262919 * tau] + 5.1458e-7 * cos[5.47786463494 + 50586.73338786459 * tau] + 4.1764e-7 * cos[5.64185159566 + 53131.406024757 * tau] + 5.6531e-7 * cos[5.11920557675 + 73711.75592766379 * tau] + 4.9567e-7 * cos[3.98985863874 + 6770.7106012456 * tau] + 4.7560e-7 * cos[5.49722099211 + 3.881335358 * tau] + 5.4442e-7 * cos[3.14331542453 + 27147.28507176339 * tau] + 5.5376e-7 * cos[4.05312663019 + 30639.856638633 * tau] + 6.4830e-7 * cos[0.0476292581 + 33326.5787331742 * tau] + 5.9481e-7 * cos[2.74692752 + 16983.9961474566 * tau] + 6.9729e-7 * cos[3.57201709671 + 25132.3033999656 * tau] + 6.8493e-7 * cos[0.63424819267 + 83925.04147387479 * tau] + 6.3463e-7 * cos[3.14700877722 + 7238.6755916 * tau] + 6.9247e-7 * cos[4.19446437496 + 19.66976089979 * tau] + 8.4971e-7 * cos[4.33100364958 + 79373.08797681599 * tau] + 8.9987e-7 * cos[5.85243631094 + 41962.5207369374 * tau] + 0.00000106422 * cos[4.20572116254 + 19804.8272915828 * tau] + 8.8329e-7 * cos[5.41338795963 + 26617.5941066688 * tau] + 8.6723e-7 * cos[1.9595304265 + 46514.4742339962 * tau] + 8.6819e-7 * cos[2.64219349385 + 51646.11531805379 * tau] + 0.00000125219 * cos[3.72079804425 + 39609.6545831656 * tau] + 9.6860e-7 * cos[6.2039820274 + 234791.12827416777 * tau] + 0.00000118233 * cos[2.78149786369 + 77204.32749453338 * tau] + 0.00000137942 * cos[0.29098447849 + 10213.285546211 * tau] + 0.00000142316 * cos[3.36003948842 + 37410.5672398786 * tau] + 0.00000172643 * cos[2.45200164173 + 24498.8302462904 * tau] + 0.00000208995 * cos[2.09178234008 + 47623.8527860896 * tau] + 0.00000181629 * cos[2.43413502466 + 25661.3049506982 * tau] + 0.00000175965 * cos[4.53636829858 + 51066.427731055 * tau] + 0.00000183359 * cos[2.62878670784 + 27043.5028831828 * tau] + 0.00000216645 * cos[0.65987207348 + 13521.7514415914 * tau] + 0.00000264336 * cos[3.91705094013 + 57837.1383323006 * tau] + 0.00000238793 * cos[0.11343953378 + 1059.3819301892 * tau] + 0.0000023483 * cos[0.266721189 + 11322.6640983044 * tau] + 0.00000272947 * cos[2.49451163975 + 529.6909650946 * tau] + 0.00000345212 * cos[2.79211901539 + 15874.6175953632 * tau] + 0.00000259587 * cos[0.98732428184 + 4551.9534970588 * tau] + 0.00000325335 * cos[1.3367433478 + 53285.1848352418 * tau] + 0.00000451137 * cos[6.04989275289 + 51116.4243529592 * tau] + 0.00000339214 * cos[5.86327765 + 25558.2121764796 * tau] + 0.00000343313 * cos[5.76531885335 + 955.5997416086 * tau] + 0.00000352441 * cos[5.24156297101 + 20426.571092422 * tau] + 0.000004042 * cos[3.28228847025 + 208703.22513259358 * tau] + 0.00000643759 * cos[5.30266110787 + 21535.9496445154 * tau] + 0.00000714182 * cos[1.54144865265 + 24978.5245894808 * tau] + 0.00001017332 * cos[0.8803143904 + 31749.2351907264 * tau] + 0.00001589923 * cos[2.99510417815 + 25028.521211385 * tau] + 0.00001364682 * cos[4.59918318745 + 27197.2816936676 * tau] + 0.00001803463 * cos[4.1033317841 + 5661.3320491522 * tau] + 0.00001726012 * cos[0.35832239908 + 182615.32199101939 * tau] + 0.0000355974 * cos[1.51202669419 + 1109.3785520934 * tau] + 0.00007583476 * cos[3.7134840051 + 156527.41884944518 * tau] + 0.00034561897 * cos[0.77930765817 + 130439.51570787099 * tau] + 0.00165590362 * cos[4.11969163181 + 104351.61256629678 * tau] + 0.00855346843 * cos[1.16520322351 + 78263.70942472259 * tau] + 0.05046294199 * cos[4.4778548954 + 52175.8062831484 * tau] + 0.40989414976 * cos[1.48302034194 + 26087.9031415742 * tau] + 4.40250710144 * cos[0.0 + 0.0 * tau]; L1 = 2e-11 * cos[3.49751807681 + 259819.64948555276 * tau] + 2e-11 * cos[5.10682926241 + 159969.99379441059 * tau] + 2e-11 * cos[5.66467419812 + 25466.159340735 * tau] + 2e-11 * cos[5.57750243319 + 25928.601406782 * tau] + 2e-11 * cos[4.49873870855 + 50007.0458008658 * tau] + 2e-11 * cos[0.63373893542 + 1265.5674786264 * tau] + 2e-11 * cos[0.54898566845 + 153084.84390447979 * tau] + 2e-11 * cos[0.23150025826 + 24448.8336243862 * tau] + 3e-11 * cos[6.19860078008 + 25004.8229092806 * tau] + 2e-11 * cos[2.93412437896 + 63786.3582415226 * tau] + 2e-11 * cos[5.22579437397 + 6885.14988993081 * tau] + 2e-11 * cos[0.11511311275 + 27170.98337386779 * tau] + 3e-11 * cos[5.43138498093 + 106684.80895916879 * tau] + 2e-11 * cos[2.15515419441 + 51951.46148744649 * tau] + 2e-11 * cos[2.11477268878 + 25773.71696170459 * tau] + 3e-11 * cos[1.10832319418 + 25600.26839032 * tau] + 2e-11 * cos[5.1750816963 + 163298.12945069079 * tau] + 2e-11 * cos[5.91297170155 + 87367.61641884019 * tau] + 2e-11 * cos[4.41481991835 + 65538.25598994759 * tau] + 2e-11 * cos[5.97797555746 + 50167.24874398939 * tau] + 2e-11 * cos[3.56126103854 + 26189.8656598398 * tau] + 3e-11 * cos[5.60392923976 + 104466.051854982 * tau] + 2e-11 * cos[3.56733241522 + 26073.67604757259 * tau] + 2e-11 * cos[6.08909078783 + 116783.65521669458 * tau] + 2e-11 * cos[2.51564214512 + 26667.590728573 * tau] + 2e-11 * cos[0.63548334553 + 23384.2869868986 * tau] + 2e-11 * cos[4.74203919229 + 76887.93562487679 * tau] + 2e-11 * cos[1.90218644384 + 24356.7807886416 * tau] + 3e-11 * cos[1.11245383788 + 192828.60753723037 * tau] + 3e-11 * cos[2.06087055668 + 52065.59996192899 * tau] + 3e-11 * cos[3.05479754348 + 162810.49469943657 * tau] + 2e-11 * cos[3.75076268715 + 130005.80396999417 * tau] + 3e-11 * cos[1.3503644855 + 23919.1426592916 * tau] + 3e-11 * cos[5.29581547615 + 57503.2823915312 * tau] + 3e-11 * cos[6.1660165005 + 20043.6745601988 * tau] + 3e-11 * cos[5.02808401414 + 130432.40216087017 * tau] + 3e-11 * cos[2.80509981839 + 104358.2411251968 * tau] + 3e-11 * cos[3.28684847821 + 208276.62694171758 * tau] + 4e-11 * cos[3.60184879954 + 207114.15223730978 * tau] + 3e-11 * cos[5.95559848753 + 104344.98400739678 * tau] + 3e-11 * cos[1.86490629185 + 51707.84129279399 * tau] + 3e-11 * cos[1.06499703474 + 26734.913974889 * tau] + 3e-11 * cos[4.29158350083 + 154408.65498906678 * tau] + 3e-11 * cos[2.12651302584 + 78469.89497315978 * tau] + 3e-11 * cos[3.6290381593 + 130435.63437251298 * tau] + 3e-11 * cos[0.98764974659 + 128843.32926558638 * tau] + 3e-11 * cos[2.44134109777 + 156520.30530244438 * tau] + 3e-11 * cos[3.80375047171 + 26402.0893214438 * tau] + 3e-11 * cos[0.77610404005 + 142871.55835826878 * tau] + 4e-11 * cos[5.67939124426 + 106470.37642667518 * tau] + 3e-11 * cos[1.00008179165 + 50264.6067999312 * tau] + 3e-11 * cos[0.53381434741 + 26709.6469424134 * tau] + 3e-11 * cos[0.40695406256 + 52278.89905736699 * tau] + 3e-11 * cos[4.09573256493 + 155460.92337225519 * tau] + 3e-11 * cos[2.88091404327 + 78149.27013603736 * tau] + 3e-11 * cos[5.89324219451 + 50483.640613646 * tau] + 3e-11 * cos[4.05932083484 + 52822.81711646319 * tau] + 3e-11 * cos[4.27304181959 + 130593.29451835579 * tau] + 3e-11 * cos[3.46632047879 + 45494.58142974879 * tau] + 3e-11 * cos[3.99050522839 + 71378.55953479178 * tau] + 4e-11 * cos[6.01723954923 + 104237.17327761157 * tau] + 4e-11 * cos[3.24764679291 + 28286.9904848612 * tau] + 4e-11 * cos[1.65814724695 + 50800.03248330259 * tau] + 3e-11 * cos[2.67114319601 + 24998.19435038059 * tau] + 3e-11 * cos[5.22780381742 + 78338.49102328988 * tau] + 4e-11 * cos[3.42019897755 + 61279.713277266 * tau] + 3e-11 * cos[0.98973904852 + 105418.10804348679 * tau] + 4e-11 * cos[0.20412928769 + 169093.57054942798 * tau] + 4e-11 * cos[0.68519128486 + 104276.83096772949 * tau] + 4e-11 * cos[1.34568004641 + 182828.62108645738 * tau] + 4e-11 * cos[4.20598588282 + 218916.51067880458 * tau] + 4e-11 * cos[0.30056239753 + 233202.05537888398 * tau] + 5e-11 * cos[3.75130732 + 62197.64356324779 * tau] + 4e-11 * cos[1.21404057369 + 139543.42270198859 * tau] + 4e-11 * cos[3.38866894732 + 104888.41707839219 * tau] + 4e-11 * cos[3.08522628552 + 175844.61138977378 * tau] + 4e-11 * cos[4.26267840541 + 132658.27281205778 * tau] + 4e-11 * cos[0.51045647492 + 107692.22499299659 * tau] + 4e-11 * cos[3.24471199066 + 130020.03106399579 * tau] + 4e-11 * cos[4.36228014188 + 207747.62539098498 * tau] + 4e-11 * cos[5.12386500502 + 182622.43553802017 * tau] + 4e-11 * cos[1.88512485652 + 54879.422437824 * tau] + 4e-11 * cos[2.53135799952 + 79487.52726550119 * tau] + 4e-11 * cos[1.51752118872 + 103814.80805420138 * tau] + 4e-11 * cos[5.55015227967 + 149846.19399604558 * tau] + 4e-11 * cos[5.65734972357 + 51868.2486621788 * tau] + 4e-11 * cos[0.30384598125 + 285907.55262712695 * tau] + 4e-11 * cos[5.40862384292 + 104984.39630560997 * tau] + 4e-11 * cos[0.67741502331 + 131079.41299418498 * tau] + 4e-11 * cos[3.43760746038 + 234261.43730907318 * tau] + 4e-11 * cos[3.86524951456 + 209762.60706278277 * tau] + 5e-11 * cos[5.23264312237 + 126996.94076290558 * tau] + 4e-11 * cos[3.25642623421 + 195181.47369100217 * tau] + 4e-11 * cos[0.80000960641 + 1485.2907067032 * tau] + 4e-11 * cos[5.22571179686 + 261988.40996783535 * tau] + 4e-11 * cos[0.51369916437 + 181563.05360783098 * tau] + 4e-11 * cos[4.43048849829 + 118828.96374949679 * tau] + 5e-11 * cos[3.31232177694 + 48847.6706268682 * tau] + 4e-11 * cos[2.74756161638 + 144916.86689107098 * tau] + 4e-11 * cos[5.24580055005 + 52309.9153327334 * tau] + 5e-11 * cos[5.90579064813 + 1478.8665740644 * tau] + 5e-11 * cos[5.65870377214 + 1300.826818205 * tau] + 5e-11 * cos[4.42201446083 + 78057.52387628538 * tau] + 4e-11 * cos[0.10839681347 + 38.1330356378 * tau] + 4e-11 * cos[1.8932118711 + 2111.6503133776 * tau] + 5e-11 * cos[5.13889133658 + 130907.48069822539 * tau] + 4e-11 * cos[1.46002058771 + 935.92998070881 * tau] + 6e-11 * cos[4.78710650697 + 102755.42612401219 * tau] + 5e-11 * cos[2.1751453684 + 51329.7234483972 * tau] + 4e-11 * cos[1.6456663118 + 78697.42116259939 * tau] + 4e-11 * cos[4.47492094862 + 137678.19129947099 * tau] + 4e-11 * cos[5.77579934605 + 129799.61842155698 * tau] + 4e-11 * cos[0.85257120719 + 118007.47305747319 * tau] + 4e-11 * cos[6.20316213523 + 79116.90580647459 * tau] + 5e-11 * cos[4.29231489707 + 220025.88923089796 * tau] + 4e-11 * cos[2.00085806148 + 189386.03259226495 * tau] + 5e-11 * cos[1.42813778372 + 266540.36346489414 * tau] + 5e-11 * cos[2.55069425936 + 154308.66174525839 * tau] + 4e-11 * cos[1.42876132655 + 52252.07235442399 * tau] + 4e-11 * cos[5.71176695959 + 81591.84508100279 * tau] + 5e-11 * cos[4.68929437146 + 79315.97780791098 * tau] + 4e-11 * cos[2.71436739189 + 182402.02289558138 * tau] + 4e-11 * cos[0.64833718455 + 156377.85565231058 * tau] + 4e-11 * cos[4.0062366874 + 175376.64639941938 * tau] + 4e-11 * cos[0.588581477 + 323.5054166574 * tau] + 4e-11 * cos[4.65165864815 + 195047.36464141717 * tau] + 5e-11 * cos[2.02580304988 + 259769.65286364855 * tau] + 5e-11 * cos[1.82284966431 + 1884.9011634174 * tau] + 6e-11 * cos[4.70286246928 + 91805.13062721379 * tau] + 5e-11 * cos[2.8002233534 + 4437.51420837359 * tau] + 4e-11 * cos[4.33627478046 + 89.485747846 * tau] + 4e-11 * cos[3.93130462476 + 130289.95251073639 * tau] + 4e-11 * cos[1.1697417665 + 193937.98608932378 * tau] + 5e-11 * cos[2.90596877294 + 154194.22245657316 * tau] + 5e-11 * cos[0.26610630357 + 235746.72801577636 * tau] + 6e-11 * cos[5.57902902188 + 87253.17713015496 * tau] + 5e-11 * cos[3.3535670841 + 205260.65018762815 * tau] + 5e-11 * cos[1.76549372525 + 53771.99272543299 * tau] + 5e-11 * cos[3.95096384085 + 78188.92782615528 * tau] + 5e-11 * cos[0.55904094194 + 2383.1930147762 * tau] + 5e-11 * cos[0.76195152302 + 417406.45026518717 * tau] + 7e-11 * cos[3.69898590349 + 81604.32185142238 * tau] + 5e-11 * cos[4.87459278742 + 78413.27262185719 * tau] + 5e-11 * cos[5.10195955921 + 112231.70171963578 * tau] + 5e-11 * cos[0.02805624095 + 149756.70824819959 * tau] + 5e-11 * cos[1.46111595893 + 101011.00013959699 * tau] + 6e-11 * cos[3.03452226064 + 77741.13200662879 * tau] + 5e-11 * cos[0.51603916276 + 171292.65789271498 * tau] + 6e-11 * cos[3.58276567647 + 198489.93958638258 * tau] + 5e-11 * cos[4.54130791881 + 156740.71794488319 * tau] + 5e-11 * cos[1.05826639118 + 27780.06881107659 * tau] + 5e-11 * cos[1.13701088228 + 26312.2479372761 * tau] + 5e-11 * cos[1.95647355963 + 76571.54375522019 * tau] + 5e-11 * cos[0.76610110351 + 24864.08530079559 * tau] + 5e-11 * cos[0.96987247797 + 149288.74325784518 * tau] + 5e-11 * cos[2.36158299954 + 78896.49316403578 * tau] + 7e-11 * cos[1.34355308244 + 1731.1223529326 * tau] + 5e-11 * cos[4.06443360712 + 130285.73689738619 * tau] + 6e-11 * cos[1.20953605164 + 130459.18546877075 * tau] + 5e-11 * cos[2.52891655111 + 123758.29085447139 * tau] + 6e-11 * cos[2.6662090451 + 229129.79622501558 * tau] + 5e-11 * cos[5.97271372078 + 156314.11975400719 * tau] + 5e-11 * cos[2.15640465605 + 235900.50682626116 * tau] + 6e-11 * cos[1.88665916947 + 80174.90890793978 * tau] + 7e-11 * cos[5.94496795198 + 256327.07791868312 * tau] + 5e-11 * cos[1.35980682609 + 94329.77528619739 * tau] + 5e-11 * cos[0.0534317532 + 27044.1922975448 * tau] + 5e-11 * cos[1.7231082929 + 103718.82882698359 * tau] + 6e-11 * cos[5.45690475475 + 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102762.53967101299 * tau] + 1.58e-9 * cos[0.75224521142 + 51116.4243529592 * tau] + 1.59e-9 * cos[2.63928704121 + 28421.0995344462 * tau] + 1.81e-9 * cos[4.3998767997 + 105410.99449648599 * tau] + 1.97e-9 * cos[4.79975858562 + 25455.119402261 * tau] + 1.61e-9 * cos[5.51918174079 + 26555.8681319286 * tau] + 1.96e-9 * cos[5.59654497318 + 78270.82297172339 * tau] + 1.78e-9 * cos[1.42319344949 + 77197.21394753258 * tau] + 1.68e-9 * cos[5.96360976147 + 157636.79740153858 * tau] + 2.24e-9 * cos[0.97932137082 + 77211.44104153418 * tau] + 1.70e-9 * cos[5.57003076622 + 98068.53671630539 * tau] + 2.00e-9 * cos[1.01165813281 + 51742.09454527159 * tau] + 1.93e-9 * cos[4.34407767816 + 105307.21230790539 * tau] + 2.15e-9 * cos[2.26752450953 + 33967.99229491319 * tau] + 2.16e-9 * cos[4.48180965712 + 26241.681952059 * tau] + 1.83e-9 * cos[2.88003872828 + 3328.13565628019 * tau] + 1.96e-9 * cos[0.44564203205 + 51756.3216392732 * tau] + 1.78e-9 * cos[1.24568538055 + 103.0927742186 * tau] + 2.15e-9 * cos[5.3565209661 + 206.1855484372 * tau] + 1.80e-9 * cos[2.20428238305 + 89586.37352302698 * tau] + 1.83e-9 * cos[3.83128433173 + 69159.80243060499 * tau] + 2.01e-9 * cos[2.00560473829 + 162188.75089859738 * tau] + 1.96e-9 * cos[0.92807787406 + 120226.23016165999 * tau] + 2.03e-9 * cos[2.69458032262 + 59414.4818747484 * tau] + 2.01e-9 * cos[2.38235635877 + 23439.44831610119 * tau] + 2.18e-9 * cos[0.41409439248 + 78267.59076008058 * tau] + 2.00e-9 * cos[5.41573374322 + 16066.0658614748 * tau] + 2.18e-9 * cos[4.88963285925 + 103396.01282468818 * tau] + 2.82e-9 * cos[3.81265243625 + 536.8045120954 * tau] + 2.11e-9 * cos[3.92377004339 + 103925.01437542078 * tau] + 2.30e-9 * cos[2.45937674101 + 155418.04029735178 * tau] + 2.14e-9 * cos[3.50460190598 + 58458.88213313979 * tau] + 2.42e-9 * cos[0.44760602599 + 23754.70674870219 * tau] + 2.24e-9 * cos[5.1072681918 + 117873.36400788819 * tau] + 2.65e-9 * cos[1.04033681288 + 25938.3399444396 * tau] + 2.29e-9 * cos[5.07700202235 + 52602.4044740244 * tau] + 2.75e-9 * cos[0.59220058467 + 104881.30353139139 * tau] + 2.88e-9 * cos[3.26773464056 + 124778.18365871879 * tau] + 2.87e-9 * cos[4.98400171694 + 25551.09862947879 * tau] + 2.72e-9 * cos[5.34763989826 + 53764.8791784322 * tau] + 2.80e-9 * cos[3.33549459014 + 78244.0396638228 * tau] + 3.14e-9 * cos[1.52755129973 + 44937.1306915484 * tau] + 2.79e-9 * cos[4.17319236859 + 155468.03691925599 * tau] + 3.81e-9 * cos[2.16540447546 + 522.5774180938 * tau] + 2.80e-9 * cos[0.69995179262 + 64741.95798313119 * tau] + 3.93e-9 * cos[0.55222046684 + 45405.0956819028 * tau] + 2.81e-9 * cos[0.83478570176 + 63498.47038145279 * tau] + 3.23e-9 * cos[5.59204872298 + 55618.3812281138 * tau] + 3.03e-9 * cos[1.67537340603 + 88476.99497093359 * tau] + 3.27e-9 * cos[5.45093694594 + 7880.08915333899 * tau] + 3.48e-9 * cos[1.06528227311 + 66941.04532641819 * tau] + 3.36e-9 * cos[1.55276786593 + 24505.94379329119 * tau] + 3.40e-9 * cos[1.64349471632 + 79219.30916633119 * tau] + 4.23e-9 * cos[4.2143754624 + 18093.37469954999 * tau] + 3.56e-9 * cos[2.03727281128 + 1052.2683831884 * tau] + 3.59e-9 * cos[0.03091967859 + 2118.7638603784 * tau] + 4.00e-9 * cos[3.51557589073 + 20760.4270331914 * tau] + 4.18e-9 * cos[0.36439379673 + 51962.5071877104 * tau] + 5.08e-9 * cos[1.03838633466 + 24491.71669928959 * tau] + 3.77e-9 * cos[3.50882025297 + 125887.56221081219 * tau] + 5.23e-9 * cos[4.9239008231 + 52389.1053785864 * tau] + 4.08e-9 * cos[0.92030240581 + 77837.11123384659 * tau] + 3.95e-9 * cos[5.24320159822 + 58946.51688439399 * tau] + 4.15e-9 * cos[2.50109134151 + 71980.63357473118 * tau] + 4.70e-9 * cos[1.0748559576 + 103821.92160120218 * tau] + 4.70e-9 * cos[1.46585019834 + 1066.49547719 * tau] + 4.27e-9 * cos[5.353673111 + 49.9966219042 * tau] + 4.31e-9 * cos[3.0671483672 + 131548.89425996438 * tau] + 4.95e-9 * cos[2.11807671869 + 52171.9249477904 * tau] + 4.49e-9 * cos[3.10044122691 + 49957.0491789616 * tau] + 6.17e-9 * cos[4.18395572588 + 639.897286314 * tau] + 5.79e-9 * cos[5.45103833735 + 52195.47604404819 * tau] + 5.13e-9 * cos[2.28640740711 + 82815.66292178139 * tau] + 5.25e-9 * cos[1.31791713133 + 313054.83769889036 * tau] + 5.42e-9 * cos[2.77109053528 + 54394.56338733519 * tau] + 5.01e-9 * cos[0.39578180187 + 32370.9789915656 * tau] + 6.99e-9 * cos[2.57322536922 + 52182.9198301492 * tau] + 5.70e-9 * cos[3.1042551371 + 15874.6175953632 * tau] + 5.24e-9 * cos[2.45745967369 + 467.9649903544 * tau] + 5.27e-9 * cos[5.83448542494 + 50057.04242277 * tau] + 5.63e-9 * cos[1.38660458 + 79323.09135491178 * tau] + 5.49e-9 * cos[2.08003708209 + 91785.46086631398 * tau] + 5.67e-9 * cos[6.08785859254 + 25234.70675982219 * tau] + 5.49e-9 * cos[4.18661776549 + 94138.32702008578 * tau] + 5.81e-9 * cos[2.61707271637 + 76674.63652943878 * tau] + 6.97e-9 * cos[1.89331617498 + 77308.10968311399 * tau] + 8.11e-9 * cos[4.22885181263 + 25654.19140369739 * tau] + 6.04e-9 * cos[5.29267380518 + 136100.84775702319 * tau] + 6.10e-9 * cos[1.21194007471 + 153.7788104848 * tau] + 7.53e-9 * cos[5.64446551994 + 45892.73043315699 * tau] + 8.08e-9 * cos[6.27898737551 + 53131.406024757 * tau] + 6.60e-9 * cos[1.98037689941 + 26514.5013324502 * tau] + 6.56e-9 * cos[3.65375726729 + 25668.418497699 * tau] + 6.99e-9 * cos[4.82823185979 + 38519.945791972 * tau] + 6.51e-9 * cos[5.87383050095 + 2333.196392872 * tau] + 7.52e-9 * cos[4.70099207936 + 51109.31080595839 * tau] + 7.52e-9 * cos[4.22525357653 + 51123.53789995999 * tau] + 7.80e-9 * cos[5.77004504059 + 129330.13715577759 * tau] + 6.98e-9 * cos[2.99026308247 + 52168.69273614759 * tau] + 7.33e-9 * cos[3.2301997832 + 47623.8527860896 * tau] + 7.36e-9 * cos[6.05470921559 + 114.43928868521 * tau] + 7.45e-9 * cos[2.09648894863 + 51535.90899683439 * tau] + 7.82e-9 * cos[3.69412482234 + 52179.6876185064 * tau] + 7.82e-9 * cos[3.92653768734 + 38654.05484155699 * tau] + 7.91e-9 * cos[1.17444825871 + 129380.13377768178 * tau] + 8.31e-9 * cos[2.35459129726 + 27676.976036858 * tau] + 8.69e-9 * cos[3.87957425954 + 78793.40038981718 * tau] + 8.79e-9 * cos[4.78847722011 + 18849.2275499742 * tau] + 9.12e-9 * cos[0.27449857787 + 98690.28051714458 * tau] + 8.76e-9 * cos[4.91112286703 + 62389.09182935939 * tau] + 1.138e-8 * cos[2.56391312022 + 29530.4780865396 * tau] + 9.99e-9 * cos[5.29812267938 + 65697.55772473979 * tau] + 9.10e-9 * cos[0.49823258962 + 99799.65906923798 * tau] + 8.94e-9 * cos[0.29768279333 + 105460.99111839019 * tau] + 1.033e-8 * cos[3.72503880786 + 6283.0758499914 * tau] + 1.057e-8 * cos[4.35251408825 + 77734.01845962799 * tau] + 9.89e-9 * cos[0.33276224293 + 52156.1365222486 * tau] + 1.259e-8 * cos[1.73130656223 + 12432.0426503978 * tau] + 1.014e-8 * cos[3.58126441973 + 48733.23133818299 * tau] + 1.065e-8 * cos[4.31416942177 + 40853.142184844 * tau] + 1.124e-8 * cos[1.28920904043 + 31749.2351907264 * tau] + 1.242e-8 * cos[3.79389911401 + 25874.6040461362 * tau] + 1.347e-8 * cos[3.80254397382 + 19317.1925403286 * tau] + 1.586e-8 * cos[4.65681044624 + 79373.08797681599 * tau] + 1.358e-8 * cos[1.45317020242 + 51646.11531805379 * tau] + 1.362e-8 * cos[1.13830507985 + 68050.42387851159 * tau] + 1.574e-8 * cos[3.7587058637 + 73711.75592766379 * tau] + 1.590e-8 * cos[0.07660134798 + 23869.1460373874 * tau] + 1.597e-8 * cos[5.53494401703 + 56727.7597802072 * tau] + 2.143e-8 * cos[5.16312278245 + 51220.20654153979 * tau] + 1.784e-8 * cos[5.17926273269 + 426.598190876 * tau] + 1.785e-8 * cos[1.80830270808 + 26301.2022370122 * tau] + 1.653e-8 * cos[1.25518276011 + 33326.5787331742 * tau] + 1.954e-8 * cos[4.67733727976 + 286966.93455731616 * tau] + 1.677e-8 * cos[4.63366122462 + 53235.18821333759 * tau] + 1.700e-8 * cos[2.28603732736 + 110012.94461544899 * tau] + 1.974e-8 * cos[0.83681704901 + 12566.1516999828 * tau] + 1.979e-8 * cos[4.44092591248 + 103292.23063610759 * tau] + 1.987e-8 * cos[2.95923214706 + 23969.1392811958 * tau] + 2.616e-8 * cos[2.78322243283 + 103242.23401420339 * tau] + 2.066e-8 * cos[1.0723184563 + 43071.8992890308 * tau] + 2.872e-8 * cos[1.63503968499 + 25021.4076643842 * tau] + 2.535e-8 * cos[5.80101392346 + 26095.016688575 * tau] + 2.321e-8 * cos[5.44262378304 + 26084.0218062162 * tau] + 2.501e-8 * cos[4.34723465048 + 41962.5207369374 * tau] + 2.274e-8 * cos[1.85167073193 + 36301.18868778519 * tau] + 2.403e-8 * cos[1.1551513036 + 25035.6347583858 * tau] + 2.799e-8 * cos[2.51152391376 + 26107.57290247399 * tau] + 3.125e-8 * cos[6.07160751766 + 28306.66024576099 * tau] + 2.652e-8 * cos[0.88219699366 + 52705.49724824299 * tau] + 2.732e-8 * cos[5.64171761904 + 1589.0728952838 * tau] + 3.132e-8 * cos[6.21365344759 + 26080.78959457339 * tau] + 2.773e-8 * cos[3.54351198199 + 72602.37737557039 * tau] + 2.855e-8 * cos[0.67083991526 + 26091.7844769322 * tau] + 2.974e-8 * cos[0.14234349726 + 50586.73338786459 * tau] + 3.284e-8 * cos[5.22996707635 + 25448.00585526019 * tau] + 3.031e-8 * cos[4.45207030477 + 7238.6755916 * tau] + 3.195e-8 * cos[1.25743024246 + 14765.2390432698 * tau] + 3.417e-8 * cos[0.49855041138 + 22645.32819660879 * tau] + 3.664e-8 * cos[1.39952931281 + 77204.32749453338 * tau] + 3.547e-8 * cos[3.59413896239 + 26068.2333806744 * tau] + 4.454e-8 * cos[5.7915915618 + 3442.5749449654 * tau] + 3.571e-8 * cos[2.34341884629 + 32858.61374281979 * tau] + 4.593e-8 * cos[0.81920676333 + 25558.2121764796 * tau] + 4.299e-8 * cos[5.09070560802 + 10213.285546211 * tau] + 4.211e-8 * cos[5.53886788148 + 83925.04147387479 * tau] + 4.381e-8 * cos[4.94471456712 + 213.299095438 * tau] + 5.022e-8 * cos[3.94124675992 + 25661.3049506982 * tau] + 4.857e-8 * cos[4.84757952324 + 37410.5672398786 * tau] + 4.578e-8 * cos[1.55845855383 + 27147.28507176339 * tau] + 4.969e-8 * cos[2.4775213418 + 30639.856638633 * tau] + 5.883e-8 * cos[2.19545230409 + 13521.7514415914 * tau] + 6.364e-8 * cos[2.1380561938 + 25132.3033999656 * tau] + 7.179e-8 * cos[2.97766079692 + 2218.7571041868 * tau] + 7.285e-8 * cos[1.74581868954 + 260879.03141574195 * tau] + 5.846e-8 * cos[4.281396598 + 16983.9961474566 * tau] + 6.554e-8 * cos[5.53478998989 + 6770.7106012456 * tau] + 6.838e-8 * cos[2.77387065312 + 7.1135470008 * tau] + 8.639e-8 * cos[6.06360282793 + 77154.33087262919 * tau] + 7.665e-8 * cos[2.48158305355 + 57837.1383323006 * tau] + 8.024e-8 * cos[3.92723313702 + 27043.5028831828 * tau] + 7.929e-8 * cos[0.50426804318 + 46514.4742339962 * tau] + 7.974e-8 * cos[4.17682324505 + 26617.5941066688 * tau] + 1.2566e-7 * cos[4.70537436663 + 1059.3819301892 * tau] + 1.2621e-7 * cos[3.89530641889 + 3.881335358 * tau] + 1.2822e-7 * cos[2.69591798562 + 53285.1848352418 * tau] + 1.3964e-7 * cos[3.59426938083 + 24498.8302462904 * tau] + 1.5398e-7 * cos[5.74263453989 + 19.66976089979 * tau] + 1.5306e-7 * cos[1.79184360652 + 11322.6640983044 * tau] + 1.6680e-7 * cos[1.35134428173 + 529.6909650946 * tau] + 1.7496e-7 * cos[5.7266360862 + 4551.9534970588 * tau] + 2.0221e-7 * cos[0.51934047295 + 21535.9496445154 * tau] + 2.0425e-7 * cos[3.71509622702 + 20426.571092422 * tau] + 2.7295e-7 * cos[5.09210138837 + 234791.12827416777 * tau] + 2.2003e-7 * cos[0.86475371243 + 955.5997416086 * tau] + 2.8070e-7 * cos[3.04195430989 + 51066.427731055 * tau] + 4.4370e-7 * cos[4.57348500464 + 25028.521211385 * tau] + 5.1941e-7 * cos[5.62107554052 + 5661.3320491522 * tau] + 0.00000102743 * cos[2.14879173777 + 208703.22513259358 * tau] + 9.0579e-7 * cos[0.00045481669 + 24978.5245894808 * tau] + 9.3540e-7 * cos[6.11791163931 + 27197.2816936676 * tau] + 0.00000388318 * cos[5.48039225891 + 182615.32199101939 * tau] + 0.00000352244 * cos[3.05238094403 + 1109.3785520934 * tau] + 0.00001472233 * cos[2.51845458395 + 156527.41884944518 * tau] + 0.00005592094 * cos[5.82675673328 + 130439.51570787099 * tau] + 0.00021245035 * cos[2.83531934452 + 104351.61256629678 * tau] + 0.00080538452 * cos[6.10454743366 + 78263.70942472259 * tau] + 0.00303471395 * cos[3.05565472363 + 52175.8062831484 * tau] + 0.01126007832 * cos[6.21703970996 + 26087.9031415742 * tau] + 26088.14706222746 * cos[0.0 + 0.0 * tau]; L2 = 1e-11 * cos[5.52286605071 + 52125.80966124419 * tau] + 1e-11 * cos[3.26520760555 + 240452.46032331996 * tau] + 1e-11 * cos[5.5936222224 + 25619.9381512198 * tau] + 1e-11 * cos[1.59597814656 + 72936.23331633979 * tau] + 1e-11 * cos[4.15667461533 + 25551.09862947879 * tau] + 1e-11 * cos[0.33953378597 + 51528.79544983359 * tau] + 1e-11 * cos[0.08089899001 + 51543.0225438352 * tau] + 1e-11 * cos[4.25324476801 + 209812.60368468695 * tau] + 1e-11 * cos[0.54824728173 + 26137.8997634784 * tau] + 1e-11 * cos[0.28037611495 + 25450.90686955 * tau] + 1e-11 * cos[0.90991571866 + 103711.71527998279 * tau] + 1e-11 * cos[5.62459774786 + 25565.3257234804 * tau] + 1e-11 * cos[0.61014627166 + 25668.418497699 * tau] + 1e-11 * cos[5.09783503526 + 102232.84870591838 * tau] + 1e-11 * cos[2.19795772042 + 29428.515568274 * tau] + 1e-11 * cos[0.16055219324 + 105307.21230790539 * tau] + 1e-11 * cos[6.22940855233 + 111590.28815789679 * tau] + 1e-11 * cos[0.48535289275 + 52698.38370124219 * tau] + 1e-11 * cos[4.42116052212 + 100909.03762133139 * tau] + 1e-11 * cos[5.80015495751 + 19406.6782881746 * tau] + 1e-11 * cos[3.60230008239 + 20760.4270331914 * tau] + 1e-11 * cos[0.34495954566 + 128850.44281258718 * tau] + 1e-11 * cos[3.19299019423 + 25654.19140369739 * tau] + 1e-11 * cos[6.14517818644 + 76681.75007643958 * tau] + 1e-11 * cos[5.86450783334 + 26724.8994135984 * tau] + 1e-11 * cos[1.38420566741 + 26011.6370702986 * tau] + 1e-11 * cos[5.63110777945 + 46848.3301747656 * tau] + 1e-11 * cos[5.56519625382 + 129387.24732468258 * tau] + 1e-11 * cos[0.30832555285 + 53228.07466633679 * tau] + 2e-11 * cos[5.13133615893 + 49842.60989027639 * tau] + 1e-11 * cos[3.62844435085 + 161079.37234650398 * tau] + 1e-11 * cos[0.18846827752 + 34082.4315835984 * tau] + 2e-11 * cos[0.30073776192 + 51639.00177105299 * tau] + 2e-11 * cos[0.94020572434 + 80596.9058175946 * tau] + 1e-11 * cos[6.04596837149 + 129373.02023068098 * tau] + 1e-11 * cos[2.4157683233 + 26037.90651966999 * tau] + 2e-11 * cos[4.92122664455 + 24864.08530079559 * tau] + 2e-11 * cos[2.79561490409 + 115674.27666460119 * tau] + 2e-11 * cos[6.26921260007 + 87367.61641884019 * tau] + 1e-11 * cos[4.8099549208 + 77837.11123384659 * tau] + 1e-11 * cos[3.49234867738 + 130435.63437251298 * tau] + 2e-11 * cos[5.50117730009 + 172402.03644480839 * tau] + 2e-11 * cos[4.39281517355 + 130432.40216087017 * tau] + 2e-11 * cos[2.18339110714 + 156100.82065856918 * tau] + 2e-11 * cos[0.85416063806 + 25934.1243310894 * tau] + 2e-11 * cos[6.1619270402 + 130652.81480330898 * tau] + 2e-11 * cos[0.39746661127 + 26521.614879451 * tau] + 2e-11 * cos[5.59377744943 + 35191.8101356918 * tau] + 2e-11 * cos[0.00997429525 + 141762.17980617538 * tau] + 2e-11 * cos[0.54331921743 + 130459.18546877075 * tau] + 2e-11 * cos[5.83992902277 + 19804.8272915828 * tau] + 2e-11 * cos[5.61305711026 + 76667.52298243798 * tau] + 2e-11 * cos[1.83715639115 + 123668.80510662538 * tau] + 2e-11 * cos[3.98410950717 + 104466.051854982 * tau] + 2e-11 * cos[0.64849171165 + 52643.7712735028 * tau] + 2e-11 * cos[0.1107175948 + 130866.11389874699 * tau] + 2e-11 * cos[1.98246165585 + 77844.22478084739 * tau] + 2e-11 * cos[6.10145799164 + 77623.81213840858 * tau] + 3e-11 * cos[5.85721944439 + 52329.58509363319 * tau] + 2e-11 * cos[2.88997273266 + 27154.3986187642 * tau] + 2e-11 * cos[3.91756419842 + 130446.62925487179 * tau] + 2e-11 * cos[5.1499567646 + 182188.72380014337 * tau] + 2e-11 * cos[4.60084058009 + 26941.0995233262 * tau] + 2e-11 * cos[0.85923934181 + 235900.50682626116 * tau] + 2e-11 * cos[5.79409172557 + 417406.45026518717 * tau] + 2e-11 * cos[5.58793955981 + 103917.90082841998 * tau] + 2e-11 * cos[1.81636961816 + 110634.68841628819 * tau] + 2e-11 * cos[4.32534428501 + 55503.94193942859 * tau] + 2e-11 * cos[3.08184453618 + 50593.84693486539 * tau] + 2e-11 * cos[3.36865001265 + 170049.17029103659 * tau] + 2e-11 * cos[4.51952536661 + 203041.89308344138 * tau] + 2e-11 * cos[2.78347515438 + 79330.20490191258 * tau] + 2e-11 * cos[0.35903300236 + 187167.27548807819 * tau] + 2e-11 * 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52195.47604404819 * tau] + 4.0e-10 * cos[3.14856042352 + 426.598190876 * tau] + 3.5e-10 * cos[5.78457148656 + 68050.42387851159 * tau] + 3.7e-10 * cos[0.05738918168 + 38519.945791972 * tau] + 3.4e-10 * cos[3.28090243752 + 62389.09182935939 * tau] + 3.9e-10 * cos[0.76157461206 + 82815.66292178139 * tau] + 4.1e-10 * cos[2.43000457106 + 639.897286314 * tau] + 4.3e-10 * cos[3.24574920597 + 52389.1053785864 * tau] + 3.8e-10 * cos[6.08585317961 + 79323.09135491178 * tau] + 3.7e-10 * cos[5.01445357044 + 26080.78959457339 * tau] + 4.1e-10 * cos[2.81015791586 + 41962.5207369374 * tau] + 3.9e-10 * cos[6.2527517396 + 47623.8527860896 * tau] + 4.8e-10 * cos[0.4894487653 + 51646.11531805379 * tau] + 4.5e-10 * cos[2.52716095523 + 103292.23063610759 * tau] + 4.2e-10 * cos[2.21900478384 + 52179.6876185064 * tau] + 5.4e-10 * cos[0.32708522231 + 25874.6040461362 * tau] + 4.4e-10 * cos[4.971456138 + 25973.46385288896 * tau] + 4.6e-10 * cos[5.18676728087 + 77204.32749453338 * tau] + 5.3e-10 * cos[5.49113976101 + 25661.3049506982 * tau] + 4.8e-10 * cos[5.19507775798 + 48733.23133818299 * tau] + 4.8e-10 * cos[1.60851837486 + 25234.70675982219 * tau] + 5.2e-10 * cos[0.5368757688 + 77308.10968311399 * tau] + 5.2e-10 * cos[1.15062443564 + 26202.34243025941 * tau] + 5.2e-10 * cos[5.14041028675 + 52156.1365222486 * tau] + 5.3e-10 * cos[1.55958841442 + 49957.0491789616 * tau] + 5.6e-10 * cos[1.01839356017 + 27676.976036858 * tau] + 5.9e-10 * cos[0.1554109817 + 36301.18868778519 * tau] + 6.3e-10 * cos[2.49160532665 + 78793.40038981718 * tau] + 6.3e-10 * cos[5.02106928248 + 98690.28051714458 * tau] + 6.0e-10 * cos[0.79452201416 + 53131.406024757 * tau] + 6.9e-10 * cos[3.44813862795 + 10213.285546211 * tau] + 6.1e-10 * cos[5.77836694481 + 12566.1516999828 * tau] + 6.4e-10 * cos[2.75958867988 + 40853.142184844 * tau] + 6.7e-10 * cos[3.8921657878 + 26084.0218062162 * tau] + 6.4e-10 * cos[2.68437002997 + 43071.8992890308 * tau] + 6.3e-10 * cos[0.6582852544 + 110012.94461544899 * tau] + 7.8e-10 * cos[0.27707431029 + 37410.5672398786 * tau] + 7.0e-10 * cos[3.55533072657 + 13521.7514415914 * tau] + 8.5e-10 * cos[3.28561166885 + 12432.0426503978 * tau] + 8.1e-10 * cos[0.9588922979 + 26107.57290247399 * tau] + 8.6e-10 * cos[0.78555390902 + 57837.1383323006 * tau] + 7.4e-10 * cos[4.31017375756 + 2333.196392872 * tau] + 7.5e-10 * cos[5.40269356209 + 26091.7844769322 * tau] + 9.9e-10 * cos[1.00218248773 + 29530.4780865396 * tau] + 9.5e-10 * cos[2.24093904831 + 19317.1925403286 * tau] + 1.05e-9 * cos[5.32363189985 + 7238.6755916 * tau] + 8.5e-10 * cos[3.01984486981 + 53235.18821333759 * tau] + 9.4e-10 * cos[4.30968259383 + 129330.13715577759 * tau] + 9.2e-10 * cos[0.08628005998 + 313054.83769889036 * tau] + 9.3e-10 * cos[2.04998627084 + 26068.2333806744 * tau] + 9.9e-10 * cos[3.84242768306 + 83925.04147387479 * tau] + 9.9e-10 * cos[3.99635236807 + 56727.7597802072 * tau] + 1.15e-9 * cos[3.05230359467 + 53285.1848352418 * tau] + 1.13e-9 * cos[4.9813748525 + 79373.08797681599 * tau] + 1.15e-9 * cos[0.15124159675 + 26301.2022370122 * tau] + 1.08e-9 * cos[1.39723983534 + 50586.73338786459 * tau] + 1.40e-9 * cos[3.66642468738 + 25558.2121764796 * tau] + 1.35e-9 * cos[3.8677543707 + 51220.20654153979 * tau] + 1.29e-9 * cos[4.16213277137 + 23969.1392811958 * tau] + 1.45e-9 * cos[5.96024756685 + 14765.2390432698 * tau] + 1.48e-9 * cos[1.97575825359 + 72602.37737557039 * tau] + 1.61e-9 * cos[4.80105233203 + 23869.1460373874 * tau] + 1.53e-9 * cos[4.33936015634 + 1589.0728952838 * tau] + 1.60e-9 * cos[5.7937744941 + 52705.49724824299 * tau] + 1.56e-9 * cos[3.91999448441 + 32858.61374281979 * tau] + 1.68e-9 * cos[6.20806483822 + 27147.28507176339 * tau] + 2.19e-9 * cos[1.3418873834 + 28306.66024576099 * tau] + 1.82e-9 * cos[0.62534354989 + 25448.00585526019 * tau] + 1.97e-9 * cos[2.07792605062 + 22645.32819660879 * tau] + 2.09e-9 * cos[3.30158370895 + 213.299095438 * tau] + 2.73e-9 * cos[1.29086264556 + 103242.23401420339 * tau] + 2.34e-9 * cos[0.93917232374 + 30639.856638633 * tau] + 2.37e-9 * cos[4.37101224231 + 114.43928868521 * tau] + 3.11e-9 * cos[4.22422008005 + 3442.5749449654 * tau] + 2.47e-9 * cos[5.87612469398 + 16983.9961474566 * tau] + 3.03e-9 * cos[4.68482058244 + 27043.5028831828 * tau] + 3.27e-9 * cos[2.22989850002 + 21535.9496445154 * tau] + 3.32e-9 * cos[0.97416155325 + 25132.3033999656 * tau] + 3.07e-9 * cos[3.20507351217 + 1059.3819301892 * tau] + 3.14e-9 * cos[3.42002895816 + 286966.93455731616 * tau] + 3.12e-9 * cos[5.1878582963 + 46514.4742339962 * tau] + 3.70e-9 * cos[0.8236064656 + 6770.7106012456 * tau] + 3.81e-9 * cos[2.83442391504 + 26617.5941066688 * tau] + 4.39e-9 * cos[3.40705996719 + 11322.6640983044 * tau] + 6.08e-9 * cos[4.54152310086 + 2218.7571041868 * tau] + 5.07e-9 * cos[4.11466890786 + 4551.9534970588 * tau] + 5.52e-9 * cos[2.1322864657 + 20426.571092422 * tau] + 5.72e-9 * cos[5.92841937309 + 25028.521211385 * tau] + 6.54e-9 * cos[0.98170349539 + 5661.3320491522 * tau] + 7.63e-9 * cos[4.54299337366 + 77154.33087262919 * tau] + 6.28e-9 * cos[4.8493010532 + 24498.8302462904 * tau] + 6.28e-9 * cos[6.18483168149 + 529.6909650946 * tau] + 9.72e-9 * cos[1.80344701358 + 955.5997416086 * tau] + 1.064e-8 * cos[0.46023695675 + 260879.03141574195 * tau] + 2.045e-8 * cos[1.49570544876 + 51066.427731055 * tau] + 2.566e-8 * cos[1.44059109766 + 27197.2816936676 * tau] + 3.575e-8 * cos[3.77317513032 + 234791.12827416777 * tau] + 5.243e-8 * cos[4.71799772791 + 24978.5245894808 * tau] + 1.1861e-7 * cos[0.79187646439 + 208703.22513259358 * tau] + 1.4898e-7 * cos[4.6334308581 + 1109.3785520934 * tau] + 3.8663e-7 * cos[4.08011610182 + 182615.32199101939 * tau] + 0.00000122998 * cos[1.06868541052 + 156527.41884944518 * tau] + 0.00000378173 * cos[4.319980559 + 130439.51570787099 * tau] + 0.00001107419 * cos[1.26226537554 + 104351.61256629678 * tau] + 0.00003018297 * cos[4.45643539705 + 78263.70942472259 * tau] + 0.00007396711 * cos[1.34735624669 + 52175.8062831484 * tau] + 0.00016903658 * cos[4.69072300649 + 26087.9031415742 * tau] + 0.00053049845 * cos[0.0 + 0.0 * tau]; L3 = 1e-11 * cos[2.82906439989 + 24498.8302462904 * tau] + 1e-11 * cos[5.84438975852 + 105307.21230790539 * tau] + 1e-11 * cos[6.07111696987 + 102762.53967101299 * tau] + 1e-11 * cos[5.58694327783 + 79852.78232000639 * tau] + 1e-11 * cos[0.65529515413 + 426.598190876 * tau] + 1e-11 * cos[4.31760630574 + 69159.80243060499 * tau] + 1e-11 * cos[4.74388045372 + 26514.5013324502 * tau] + 1e-11 * cos[3.2207229087 + 25021.4076643842 * tau] + 1e-11 * cos[5.84491832575 + 50057.04242277 * tau] + 1e-11 * cos[4.77297529316 + 78477.00852016058 * tau] + 1e-11 * cos[1.72346523407 + 51962.5071877104 * tau] + 1e-11 * cos[2.73414310032 + 25035.6347583858 * tau] + 1e-11 * cos[0.300500653 + 41962.5207369374 * tau] + 1e-11 * cos[3.42109354799 + 25973.46385288896 * tau] + 1e-11 * cos[5.86280830053 + 26202.34243025941 * tau] + 1e-11 * cos[0.28595674172 + 11322.6640983044 * tau] + 1e-11 * cos[6.01128227925 + 52168.69273614759 * tau] + 1e-11 * cos[4.42501613287 + 22645.32819660879 * tau] + 1e-11 * cos[3.82330817663 + 68050.42387851159 * tau] + 1e-11 * cos[0.20736391933 + 52061.36699446317 * tau] + 1e-11 * cos[2.82170820105 + 26091.7844769322 * tau] + 1e-11 * cos[4.87760109673 + 25874.6040461362 * tau] + 1e-11 * cos[2.69537843932 + 52290.24557183361 * tau] + 1e-11 * cos[2.60061927559 + 12566.1516999828 * tau] + 1e-11 * cos[1.75551273491 + 26095.016688575 * tau] + 1e-11 * cos[1.49815422727 + 26084.0218062162 * tau] + 1e-11 * cos[3.67054321453 + 21535.9496445154 * tau] + 1e-11 * cos[2.18342825402 + 63498.47038145279 * tau] + 1e-11 * cos[0.15288602386 + 25448.00585526019 * tau] + 1e-11 * cos[5.48361013686 + 29530.4780865396 * tau] + 1e-11 * cos[6.07747011982 + 27676.976036858 * tau] + 1e-11 * cos[4.89918476796 + 35191.8101356918 * tau] + 1e-11 * cos[5.60495524983 + 207593.84658050018 * tau] + 1e-11 * cos[4.03088051207 + 1109.3785520934 * tau] + 1e-11 * cos[2.43374991272 + 51535.90899683439 * tau] + 1e-11 * cos[4.27546069271 + 36301.18868778519 * tau] + 1e-11 * cos[4.81981872221 + 26107.57290247399 * tau] + 1e-11 * cos[5.95645110567 + 80482.46652890938 * tau] + 1e-11 * cos[5.22010441376 + 52171.9249477904 * tau] + 1e-11 * cos[6.16145880062 + 125887.56221081219 * tau] + 1e-11 * cos[4.58189329524 + 37410.5672398786 * tau] + 1e-11 * cos[6.10639166059 + 102132.85546210999 * tau] + 1e-11 * cos[4.29717383023 + 26301.2022370122 * tau] + 1e-11 * cos[3.39284109553 + 25028.521211385 * tau] + 1e-11 * cos[2.29683748973 + 52195.47604404819 * tau] + 1e-11 * cos[2.41309932759 + 55618.3812281138 * tau] + 1e-11 * cos[0.94125502564 + 93028.94846799239 * tau] + 1e-11 * cos[1.78547815249 + 188276.65404017158 * tau] + 1e-11 * cos[1.24063083423 + 9103.9069941176 * tau] + 1e-11 * cos[0.18542211423 + 78244.0396638228 * tau] + 1e-11 * cos[2.11138180302 + 32858.61374281979 * tau] + 1e-11 * cos[3.90367213586 + 129380.13377768178 * tau] + 1e-11 * cos[0.68687557696 + 130969.20667296558 * tau] + 1e-11 * cos[1.58007357234 + 391318.54712361297 * tau] + 1e-11 * cos[0.606476206 + 38654.05484155699 * tau] + 1e-11 * cos[0.05873279909 + 53131.406024757 * tau] + 1e-11 * cos[5.03155341199 + 51646.11531805379 * tau] + 1e-11 * cos[2.88161012078 + 79219.30916633119 * tau] + 1e-11 * cos[4.20864838814 + 131498.89763806018 * tau] + 1e-11 * cos[1.4751416667 + 62389.09182935939 * tau] + 1e-11 * cos[0.08902944955 + 51116.4243529592 * tau] + 1e-11 * cos[0.38352295948 + 52179.6876185064 * tau] + 2e-11 * cos[5.53036712466 + 131548.89425996438 * tau] + 1e-11 * cos[5.52119023864 + 58946.51688439399 * tau] + 1e-11 * cos[3.0953209452 + 76044.9523205358 * tau] + 2e-11 * cos[4.00710217385 + 104881.30353139139 * tau] + 2e-11 * cos[3.64576833526 + 45405.0956819028 * tau] + 1e-11 * cos[1.20843095195 + 105410.99449648599 * tau] + 1e-11 * cos[2.48052961456 + 53764.8791784322 * tau] + 1e-11 * cos[1.538031696 + 52389.1053785864 * tau] + 1e-11 * cos[3.17481245588 + 76674.63652943878 * tau] + 1e-11 * cos[4.9590938512 + 129483.91596626239 * tau] + 1e-11 * cos[5.80853057947 + 4551.9534970588 * tau] + 2e-11 * cos[5.4069790667 + 82815.66292178139 * tau] + 2e-11 * cos[3.36867866204 + 99799.65906923798 * tau] + 2e-11 * cos[5.33834891475 + 52182.9198301492 * tau] + 1e-11 * cos[3.23979322492 + 52156.1365222486 * tau] + 2e-11 * cos[1.07684180123 + 103292.23063610759 * tau] + 2e-11 * cos[1.25444219651 + 40853.142184844 * tau] + 2e-11 * cos[5.54343111585 + 81706.28436968799 * tau] + 2e-11 * cos[1.97520131105 + 136100.84775702319 * tau] + 2e-11 * cos[5.43336870762 + 78283.37918562238 * tau] + 2e-11 * cos[4.12698349577 + 66941.04532641819 * tau] + 2e-11 * cos[2.05793854229 + 103396.01282468818 * tau] + 2e-11 * cos[0.5273609502 + 94138.32702008578 * tau] + 2e-11 * cos[5.26875308161 + 77308.10968311399 * tau] + 2e-11 * cos[0.61066658116 + 155468.03691925599 * tau] + 2e-11 * cos[4.76774165204 + 77204.32749453338 * tau] + 2e-11 * cos[1.96277160647 + 25558.2121764796 * tau] + 2e-11 * cos[1.49912329404 + 43071.8992890308 * tau] + 2e-11 * cos[4.39439085682 + 88476.99497093359 * tau] + 2e-11 * cos[1.0209874609 + 78793.40038981718 * tau] + 2e-11 * cos[3.11800510932 + 150866.08680029298 * tau] + 2e-11 * cos[1.60502923885 + 77734.01845962799 * tau] + 2e-11 * cos[3.54043808451 + 64741.95798313119 * tau] + 2e-11 * cos[4.77873510695 + 365230.64398203876 * tau] + 2e-11 * cos[3.43613336205 + 78267.59076008058 * tau] + 2e-11 * cos[2.40411188609 + 83925.04147387479 * tau] + 2e-11 * cos[2.92723030315 + 54394.56338733519 * tau] + 2e-11 * cos[2.17198531948 + 108903.56606335558 * tau] + 2e-11 * cos[6.11262694468 + 57837.1383323006 * tau] + 2e-11 * cos[0.42411179784 + 71492.99882347698 * tau] + 2e-11 * cos[2.29024350361 + 56727.7597802072 * tau] + 2e-11 * cos[0.15071040297 + 124778.18365871879 * tau] + 2e-11 * cos[5.05358903232 + 162188.75089859738 * tau] + 2e-11 * cos[2.52219274566 + 181505.94343892598 * tau] + 2e-11 * cos[6.2327164965 + 49957.0491789616 * tau] + 2e-11 * cos[0.35038889636 + 19317.1925403286 * tau] + 2e-11 * cos[0.16040583556 + 50586.73338786459 * tau] + 2e-11 * cos[5.37466119262 + 110012.94461544899 * tau] + 3e-11 * cos[3.37815322354 + 98690.28051714458 * tau] + 3e-11 * cos[6.23875368963 + 28306.66024576099 * tau] + 3e-11 * cos[2.86652251194 + 105460.99111839019 * tau] + 3e-11 * cos[4.34017676059 + 14765.2390432698 * tau] + 3e-11 * cos[1.29040630287 + 53235.18821333759 * tau] + 3e-11 * cos[4.35199345075 + 79323.09135491178 * tau] + 4e-11 * cos[3.02893592955 + 23869.1460373874 * tau] + 3e-11 * cos[4.6451908806 + 27147.28507176339 * tau] + 3e-11 * cos[5.80662640937 + 155418.04029735178 * tau] + 4e-11 * cos[5.6801370125 + 30639.856638633 * tau] + 4e-11 * cos[3.07093349506 + 27043.5028831828 * tau] + 4e-11 * cos[4.31141963105 + 52705.49724824299 * tau] + 4e-11 * cos[1.74528964721 + 339142.74084046457 * tau] + 4e-11 * cos[2.46414914425 + 51220.20654153979 * tau] + 5e-11 * cos[1.3111581035 + 26617.5941066688 * tau] + 5e-11 * cos[0.33554769835 + 72602.37737557039 * tau] + 7e-11 * cos[5.79018632644 + 25132.3033999656 * tau] + 8e-11 * cos[2.74138109305 + 129330.13715577759 * tau] + 9e-11 * cos[6.28305510644 + 79373.08797681599 * tau] + 9e-11 * cos[3.65190477342 + 46514.4742339962 * tau] + 9e-11 * cos[0.59396483404 + 20426.571092422 * tau] + 1.1e-10 * cos[5.00109293882 + 313054.83769889036 * tau] + 1.7e-10 * cos[6.02950226714 + 103242.23401420339 * tau] + 3.1e-10 * cos[3.11483471984 + 53285.1848352418 * tau] + 3.8e-10 * cos[2.99912912226 + 77154.33087262919 * tau] + 3.4e-10 * cos[2.03244612467 + 286966.93455731616 * tau] + 5.7e-10 * cos[6.11222330831 + 27197.2816936676 * tau] + 7.7e-10 * cos[6.24155593431 + 51066.427731055 * tau] + 1.02e-9 * cos[5.32134064237 + 260879.03141574195 * tau] + 1.17e-9 * cos[3.1656732416 + 24978.5245894808 * tau] + 3.07e-9 * cos[2.32189002493 + 234791.12827416777 * tau] + 9.00e-9 * cos[5.59308888939 + 208703.22513259358 * tau] + 2.556e-8 * cos[2.57014364454 + 182615.32199101939 * tau] + 6.971e-8 * cos[5.81808665742 + 156527.41884944518 * tau] + 1.8045e-7 * cos[2.77538373991 + 130439.51570787099 * tau] + 3.5395e-7 * cos[0.0 + 0.0 * tau] + 4.3669e-7 * cos[6.01867965826 + 104351.61256629678 * tau] + 9.6877e-7 * cos[3.00378171915 + 78263.70942472259 * tau] + 0.00000142152 * cos[3.125054526 + 26087.9031415742 * tau] + 0.00000188077 * cos[0.03466830117 + 52175.8062831484 * tau]; L4 = 1e-11 * cos[0.29913093643 + 339142.74084046457 * tau] + 1e-11 * cos[4.8467708474 + 27197.2816936676 * tau] + 1e-11 * cos[1.20388630609 + 77154.33087262919 * tau] + 1e-11 * cos[4.17434865844 + 79373.08797681599 * tau] + 1e-11 * cos[4.35040700322 + 103242.23401420339 * tau] + 1e-11 * cos[1.11396201203 + 129330.13715577759 * tau] + 2e-11 * cos[4.60718203612 + 51066.427731055 * tau] + 1e-11 * cos[1.6743511854 + 24978.5245894808 * tau] + 2e-11 * cos[3.52134138964 + 313054.83769889036 * tau] + 3e-11 * cos[0.54824060574 + 286966.93455731616 * tau] + 8e-11 * cos[3.82199615635 + 260879.03141574195 * tau] + 2.0e-10 * cos[0.82130394681 + 234791.12827416777 * tau] + 5.1e-10 * cos[4.08566191934 + 208703.22513259358 * tau] + 1.28e-9 * cos[1.05702505039 + 182615.32199101939 * tau] + 2.98e-9 * cos[4.30600984981 + 156527.41884944518 * tau] + 6.45e-9 * cos[1.26591776986 + 130439.51570787099 * tau] + 1.237e-8 * cos[4.49970181057 + 104351.61256629678 * tau] + 1.727e-8 * cos[4.50137643801 + 52175.8062831484 * tau] + 1.914e-8 * cos[1.41731803758 + 78263.70942472259 * tau] + 3.247e-8 * cos[2.02848007619 + 26087.9031415742 * tau] + 0.00000114078 * cos[3.14159265359 + 0.0 * tau]; L5 = 1e-11 * cos[5.18718589133 + 286966.93455731616 * tau] + 1e-11 * cos[2.23688504668 + 260879.03141574195 * tau] + 1e-11 * cos[5.49411470932 + 234791.12827416777 * tau] + 2e-11 * cos[2.5143544823 + 208703.22513259358 * tau] + 5e-11 * cos[5.79082359724 + 182615.32199101939 * tau] + 1.0e-10 * cos[2.7569979192 + 156527.41884944518 * tau] + 1.9e-10 * cos[6.00992467582 + 130439.51570787099 * tau] + 3.1e-10 * cos[2.98112204944 + 104351.61256629678 * tau] + 4.3e-10 * cos[4.65071406046 + 26087.9031415742 * tau] + 4.2e-10 * cos[0.02433099382 + 78263.70942472259 * tau] + 5.9e-10 * cos[3.37513289692 + 52175.8062831484 * tau] + 8.77e-9 * cos[3.14159265359 + 0.0 * tau]; B0 = 4e-11 * cos[2.34997151211 + 177287.84588263658 * tau] + 4e-11 * cos[1.34781477964 + 106684.80895916879 * tau] + 4e-11 * cos[4.64327471216 + 76255.15188556358 * tau] + 4e-11 * cos[5.13202982684 + 735.8765135318 * tau] + 4e-11 * cos[4.1268797505 + 52024.75861330549 * tau] + 4e-11 * cos[5.62786746084 + 43981.5309499398 * tau] + 4e-11 * cos[4.79032272131 + 130432.88714897096 * tau] + 4e-11 * cos[3.50115780256 + 76152.05911134499 * tau] + 4e-11 * cos[1.28513103275 + 112545.88789950538 * tau] + 4e-11 * cos[1.64237114391 + 130446.14426677099 * tau] + 5e-11 * cos[5.22593130125 + 51329.7234483972 * tau] + 4e-11 * cos[5.4485951193 + 129971.55071751658 * tau] + 4e-11 * cos[3.77703754152 + 104501.17576343138 * tau] + 5e-11 * cos[1.16733741695 + 27566.76971563859 * tau] + 4e-11 * cos[4.51168915835 + 77956.15180375299 * tau] + 4e-11 * cos[4.93794243881 + 63786.3582415226 * tau] + 5e-11 * cos[0.30725353996 + 207747.62539098498 * tau] + 4e-11 * cos[0.26524339921 + 50007.0458008658 * tau] + 4e-11 * cos[5.12416312887 + 52027.72755872209 * tau] + 5e-11 * cos[1.01847704961 + 52309.9153327334 * tau] + 4e-11 * cos[2.62000942355 + 50049.92887576919 * tau] + 4e-11 * cos[0.47379105299 + 105403.88094948517 * tau] + 4e-11 * cos[4.83867556795 + 52755.49387014719 * tau] + 4e-11 * cos[2.32553366031 + 53265.515074342 * tau] + 6e-11 * cos[4.81632935419 + 77741.13200662879 * tau] + 4e-11 * cos[4.57601261459 + 184834.07909520617 * tau] + 4e-11 * cos[6.20030341798 + 209762.60706278277 * tau] + 5e-11 * cos[0.99354989216 + 1795.258443721 * tau] + 5e-11 * cos[3.1863383495 + 181975.42470470538 * tau] + 4e-11 * cos[5.91763059229 + 52041.69723356339 * tau] + 5e-11 * cos[4.1991766574 + 129586.31932611899 * tau] + 4e-11 * cos[0.51280078907 + 54344.56676543099 * tau] + 4e-11 * cos[3.99859010561 + 104401.60918820098 * tau] + 6e-11 * cos[6.10947724529 + 104248.51979207818 * tau] + 4e-11 * cos[2.67910077904 + 107692.22499299659 * tau] + 4e-11 * cos[0.56386565513 + 189386.03259226495 * tau] + 5e-11 * cos[3.7269181897 + 128747.35003836859 * tau] + 6e-11 * cos[4.34778590755 + 156534.53239644598 * tau] + 5e-11 * cos[4.55586232099 + 52137.67324751059 * tau] + 5e-11 * cos[1.56485117164 + 53399.624123927 * tau] + 5e-11 * cos[0.95484155225 + 130907.48069822539 * tau] + 5e-11 * cos[0.07896316759 + 78057.52387628538 * tau] + 5e-11 * cos[2.29075654159 + 61560.64729122359 * tau] + 5e-11 * cos[4.43939776623 + 51534.3927214094 * tau] + 5e-11 * cos[1.35734487293 + 53814.87580033639 * tau] + 7e-11 * cos[6.03933985106 + 1485.9801210652 * tau] + 6e-11 * cos[0.45316437598 + 50064.15596977079 * tau] + 7e-11 * cos[3.0124494408 + 50264.6067999312 * tau] + 5e-11 * cos[2.50588363651 + 102872.74599223239 * tau] + 6e-11 * cos[1.01394190869 + 77940.20400806518 * tau] + 5e-11 * cos[3.98232048303 + 53771.99272543299 * tau] + 5e-11 * cos[3.69945557546 + 39450.3528483734 * tau] + 5e-11 * cos[3.51602263966 + 102975.83876645098 * tau] + 6e-11 * cos[4.55015130253 + 51955.39364070959 * tau] + 7e-11 * cos[5.71513815276 + 70383.6202713836 * tau] + 5e-11 * cos[3.70948655428 + 266540.36346489414 * tau] + 5e-11 * cos[2.48117306579 + 9384.8410080752 * tau] + 7e-11 * cos[1.31888655444 + 149846.19399604558 * tau] + 5e-11 * cos[1.01687539089 + 55638.05098901359 * tau] + 5e-11 * cos[1.58914721681 + 50167.24874398939 * tau] + 6e-11 * cos[2.68409858369 + 130005.80396999417 * tau] + 5e-11 * cos[2.16759656006 + 104241.40624507738 * tau] + 5e-11 * cos[2.17501494391 + 209232.91609768818 * tau] + 7e-11 * cos[3.1354731214 + 155460.92337225519 * tau] + 6e-11 * cos[0.06817978613 + 53757.76563143139 * tau] + 6e-11 * cos[2.52761413373 + 52817.21984488739 * tau] + 6e-11 * cos[5.39808870469 + 130020.03106399579 * tau] + 6e-11 * cos[0.92172283144 + 57503.2823915312 * tau] + 7e-11 * cos[0.26927581545 + 127098.90328117118 * tau] + 7e-11 * cos[4.6219355895 + 81591.84508100279 * tau] + 7e-11 * cos[1.38238075345 + 106470.37642667518 * tau] + 6e-11 * cos[5.66286619587 + 234261.43730907318 * tau] + 6e-11 * cos[2.40727316051 + 78800.51393681798 * tau] + 6e-11 * cos[4.82671721903 + 154308.66174525839 * tau] + 6e-11 * cos[2.68512587119 + 77520.71936418998 * tau] + 7e-11 * cos[1.6199048214 + 103189.13786188899 * tau] + 7e-11 * cos[0.86158158633 + 50444.6839302158 * tau] + 6e-11 * cos[2.00091220299 + 102018.41617342478 * tau] + 7e-11 * cos[2.65171386195 + 220.4126424388 * tau] + 6e-11 * cos[2.57622376266 + 224577.84272795678 * tau] + 8e-11 * cos[5.56250511075 + 52509.6622239178 * tau] + 7e-11 * cos[0.09315209734 + 220025.88923089796 * tau] + 6e-11 * cos[3.05937939252 + 151.0476698429 * tau] + 6e-11 * cos[2.12110075547 + 148.0787244263 * tau] + 7e-11 * cos[4.82261895829 + 52286.01260436779 * tau] + 7e-11 * cos[2.68832841048 + 156377.85565231058 * tau] + 7e-11 * cos[6.12812258419 + 53867.97195265079 * tau] + 7e-11 * cos[1.18920934641 + 104984.39630560997 * tau] + 6e-11 * cos[3.16647388859 + 76041.85279012559 * tau] + 8e-11 * cos[1.99164711035 + 84944.93427812219 * tau] + 8e-11 * cos[0.34397341638 + 78339.97549599818 * tau] + 7e-11 * cos[0.94700216301 + 202420.14928260217 * tau] + 8e-11 * cos[0.66187102958 + 156740.71794488319 * tau] + 7e-11 * cos[6.04142381509 + 155475.15046625677 * tau] + 7e-11 * cos[0.91100826202 + 27972.80430499159 * tau] + 7e-11 * cos[1.96795602434 + 103395.32341032618 * tau] + 7e-11 * cos[2.28027029168 + 54374.8936264354 * tau] + 7e-11 * cos[1.45586274187 + 51841.950342379 * tau] + 8e-11 * cos[2.25202792521 + 149756.70824819959 * tau] + 7e-11 * cos[0.52800551865 + 103814.80805420138 * tau] + 7e-11 * cos[0.70724943755 + 65717.22748563958 * tau] + 7e-11 * cos[1.15333561308 + 261988.40996783535 * tau] + 8e-11 * cos[5.67030179581 + 53029.0026649004 * tau] + 7e-11 * cos[0.08448723866 + 26098.9488418381 * tau] + 8e-11 * cos[0.98956493578 + 16703.062133499 * tau] + 7e-11 * cos[6.26371276121 + 52174.32181044009 * tau] + 8e-11 * cos[0.19880797043 + 1.4844727083 * tau] + 8e-11 * cos[5.26981396126 + 48847.6706268682 * tau] + 7e-11 * cos[5.1707974073 + 179172.74704605396 * tau] + 7e-11 * cos[5.1631579803 + 26189.8656598398 * tau] + 1.0e-10 * cos[2.72173324175 + 104276.83096772949 * tau] + 9e-11 * cos[1.96929942879 + 1272.6810256272 * tau] + 7e-11 * cos[0.70585294359 + 52177.29075585669 * tau] + 8e-11 * cos[5.86653927002 + 104454.70534051539 * tau] + 7e-11 * cos[0.44088896603 + 104127.26777059489 * tau] + 7e-11 * cos[0.73212945216 + 78469.89497315978 * tau] + 7e-11 * cos[0.56541937862 + 25985.94062330859 * tau] + 7e-11 * cos[0.09500184933 + 90989.16285949759 * tau] + 8e-11 * cos[2.05860519043 + 78149.27013603736 * tau] + 7e-11 * cos[0.61161547244 + 158116.49174472898 * tau] + 7e-11 * cos[5.887681462 + 51226.63067417859 * tau] + 9e-11 * cos[6.2187869044 + 189853.99758261938 * tau] + 8e-11 * cos[1.77719128692 + 26076.8574413103 * tau] + 8e-11 * cos[0.21724719953 + 13541.42120249119 * tau] + 8e-11 * cos[0.20349823136 + 113455.51956041438 * tau] + 8e-11 * cos[3.46882638388 + 77616.69859140778 * tau] + 8e-11 * cos[3.95681232703 + 120417.67842777158 * tau] + 8e-11 * cos[0.59154768044 + 156954.01704032118 * tau] + 8e-11 * cos[2.63272452796 + 25138.7275326044 * tau] + 9e-11 * cos[5.02352759781 + 229129.79622501558 * tau] + 8e-11 * cos[0.63159267832 + 80174.90890793978 * tau] + 9e-11 * cos[0.76033087382 + 156523.53751408719 * tau] + 9e-11 * cos[5.87197255624 + 199599.31813847595 * tau] + 9e-11 * cos[6.25489842872 + 91919.56991589899 * tau] + 1.1e-10 * cos[0.80389582741 + 3328.13565628019 * tau] + 9e-11 * cos[4.73154570336 + 78378.14871340781 * tau] + 9e-11 * cos[5.91954900221 + 62197.64356324779 * tau] + 9e-11 * cos[2.73233240797 + 38.1330356378 * tau] + 9e-11 * cos[4.79150958411 + 101703.15774082378 * tau] + 9e-11 * cos[5.47085206361 + 156531.30018480319 * tau] + 1.1e-10 * cos[3.36985744471 + 142871.55835826878 * tau] + 9e-11 * cos[6.25551575071 + 53906.92863608099 * tau] + 9e-11 * cos[5.64920582852 + 1265.5674786264 * tau] + 9e-11 * cos[5.24611723729 + 138319.60486120995 * tau] + 1.2e-10 * cos[0.18308102701 + 130593.29451835579 * tau] + 1.1e-10 * cos[1.47224457688 + 156520.30530244438 * tau] + 1.1e-10 * cos[2.89478268807 + 122444.98726584678 * tau] + 1.1e-10 * cos[2.08623018213 + 78683.19406859778 * tau] + 1.3e-10 * cos[3.60703035316 + 39629.32434406539 * tau] + 1.1e-10 * cos[6.23138757669 + 130285.73689738619 * tau] + 1.0e-10 * cos[6.23763004539 + 128106.31931499895 * tau] + 1.3e-10 * cos[0.25119201649 + 79330.20490191258 * tau] + 1.0e-10 * cos[3.71565881071 + 148532.89040742096 * tau] + 1.1e-10 * cos[0.03362968403 + 104991.50985261079 * tau] + 1.0e-10 * cos[5.5776490348 + 151199.94274106238 * tau] + 1.1e-10 * cos[0.28816338163 + 26057.57628056979 * tau] + 1.0e-10 * cos[4.70344741563 + 2125.8774073792 * tau] + 1.0e-10 * cos[5.45367935399 + 52483.36390411799 * tau] + 1.3e-10 * cos[5.83092856998 + 26411.4085582316 * tau] + 1.1e-10 * cos[0.63918585951 + 26118.2300025786 * tau] + 1.1e-10 * cos[4.37474459591 + 103718.82882698359 * tau] + 1.3e-10 * cos[5.70684493376 + 78213.71280281838 * tau] + 1.0e-10 * cos[0.458570525 + 222224.97657418498 * tau] + 1.0e-10 * cos[3.29404880642 + 192828.60753723037 * tau] + 1.1e-10 * cos[0.45608202666 + 2111.6503133776 * tau] + 1.1e-10 * cos[5.59141622457 + 24203.0019781568 * tau] + 1.1e-10 * cos[2.73596940194 + 171292.65789271498 * tau] + 1.1e-10 * cos[5.17906120193 + 162810.49469943657 * tau] + 1.3e-10 * cos[0.71980668578 + 78413.27262185719 * tau] + 1.4e-10 * cos[2.00354520885 + 846.0828347512 * tau] + 1.1e-10 * cos[2.45779334771 + 34082.4315835984 * tau] + 1.1e-10 * cos[1.64586759073 + 25773.71696170459 * tau] + 1.1e-10 * cos[5.15388067065 + 77947.31755506598 * tau] + 1.2e-10 * cos[1.48301102812 + 78580.10129437919 * tau] + 1.2e-10 * cos[5.56466695759 + 26402.0893214438 * tau] + 1.4e-10 * cos[5.69923121834 + 76784.84285065818 * tau] + 1.2e-10 * cos[0.49737747696 + 102769.65321801379 * tau] + 1.1e-10 * cos[2.40607503106 + 169093.57054942798 * tau] + 1.1e-10 * cos[5.82734448081 + 259819.64948555276 * tau] + 1.2e-10 * cos[2.80411772823 + 102755.42612401219 * tau] + 1.4e-10 * cos[4.1512708228 + 29550.14784743939 * tau] + 1.2e-10 * cos[0.19322533903 + 27463.67694142 * tau] + 1.2e-10 * cos[4.38117483432 + 27005.83342755599 * tau] + 1.2e-10 * cos[2.69822851627 + 153.7788104848 * tau] + 1.2e-10 * cos[3.12295185577 + 149288.74325784518 * tau] + 1.4e-10 * cos[4.16918945992 + 156547.08861034496 * tau] + 1.3e-10 * cos[3.68794178346 + 79315.97780791098 * tau] + 1.3e-10 * cos[4.55769261775 + 80596.9058175946 * tau] + 1.2e-10 * cos[3.72935261349 + 78786.28684281638 * tau] + 1.3e-10 * cos[0.99900287294 + 78338.49102328988 * tau] + 1.4e-10 * cos[3.36717179008 + 12546.481939083 * tau] + 1.6e-10 * cos[3.55004561005 + 86457.98475793119 * tau] + 1.3e-10 * cos[2.83441937048 + 25169.9728555924 * tau] + 1.3e-10 * cos[4.02426203972 + 417406.45026518717 * tau] + 1.5e-10 * cos[5.32485053265 + 154408.65498906678 * tau] + 1.7e-10 * cos[4.64614224273 + 112231.70171963578 * tau] + 1.3e-10 * cos[1.15273910706 + 949.1756089698 * tau] + 1.5e-10 * cos[5.4142973337 + 208276.62694171758 * tau] + 1.3e-10 * cos[3.77228393975 + 19.66976089979 * tau] + 1.5e-10 * cos[4.87081069542 + 104358.2411251968 * tau] + 1.7e-10 * cos[6.07989986315 + 49953.94964855139 * tau] + 1.4e-10 * cos[1.55161726953 + 156314.11975400719 * tau] + 1.4e-10 * cos[5.57651447296 + 2008.557539159 * tau] + 1.3e-10 * cos[1.02936352404 + 25867.49049913539 * tau] + 1.7e-10 * cos[4.2862866237 + 133882.09065283638 * tau] + 1.7e-10 * cos[1.61686538851 + 26198.1094627936 * tau] + 1.5e-10 * cos[4.52292533775 + 27726.9726587622 * tau] + 1.7e-10 * cos[2.79674558169 + 323.5054166574 * tau] + 1.6e-10 * cos[5.63829774136 + 209658.82487420218 * tau] + 1.4e-10 * cos[3.81333935444 + 28256.66362385679 * tau] + 1.4e-10 * cos[0.41333257896 + 76887.93562487679 * tau] + 1.6e-10 * cos[3.05516572588 + 22625.658435709 * tau] + 1.4e-10 * cos[4.00033644851 + 187167.27548807819 * tau] + 1.4e-10 * cos[2.0191587364 + 156507.74908854539 * tau] + 1.4e-10 * cos[0.57479381854 + 8194.2753332086 * tau] + 1.7e-10 * cos[5.6237861587 + 51432.81622261579 * tau] + 1.5e-10 * cos[2.41952075336 + 27250.37784598199 * tau] + 1.4e-10 * cos[5.86393829627 + 81604.32185142238 * tau] + 1.4e-10 * cos[1.89621592736 + 37698.4550999484 * tau] + 1.9e-10 * cos[6.27226219255 + 25764.39772491679 * tau] + 1.4e-10 * cos[2.39782698608 + 103883.64757594238 * tau] + 1.6e-10 * cos[1.77854347809 + 26667.590728573 * tau] + 1.6e-10 * cos[1.77081422797 + 27044.1922975448 * tau] + 1.4e-10 * cos[1.03341872997 + 78313.70604662679 * tau] + 1.5e-10 * cos[4.39941321864 + 25466.159340735 * tau] + 1.5e-10 * cos[1.16646378812 + 92741.06060792258 * tau] + 1.5e-10 * cos[6.19247438386 + 130363.24963659538 * tau] + 1.6e-10 * cos[1.13565154505 + 742.9900605326 * tau] + 1.6e-10 * cos[5.31828785394 + 78153.50310350319 * tau] + 1.5e-10 * cos[1.72732606714 + 104344.98400739678 * tau] + 1.5e-10 * cos[2.75565944373 + 26709.6469424134 * tau] + 1.6e-10 * cos[5.54159968247 + 207114.15223730978 * tau] + 1.7e-10 * cos[3.27645001526 + 26312.2479372761 * tau] + 2.0e-10 * cos[3.19274792861 + 51969.62073471119 * tau] + 1.6e-10 * cos[1.11236515889 + 103498.41618454478 * tau] + 1.9e-10 * cos[1.29524947399 + 233681.74972207438 * tau] + 2.1e-10 * cos[3.53223071778 + 181659.72224941078 * tau] + 1.5e-10 * cos[3.36667960581 + 1911.1994832172 * tau] + 1.6e-10 * cos[5.52244950928 + 2199.087343287 * tau] + 1.7e-10 * cos[2.59947793429 + 24448.8336243862 * tau] + 1.9e-10 * cos[5.09029341511 + 118828.96374949679 * tau] + 1.6e-10 * cos[5.7418031822 + 96357.08412427259 * tau] + 1.7e-10 * cos[3.93009669878 + 51852.30086649099 * tau] + 1.6e-10 * cos[0.52102795891 + 2221.856634597 * tau] + 1.6e-10 * cos[0.6272245515 + 102659.44689679438 * tau] + 1.8e-10 * cos[5.44524309894 + 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* tau] + 2.211e-8 * cos[4.651202109 + 28306.66024576099 * tau] + 2.535e-8 * cos[3.05170623483 + 69159.80243060499 * tau] + 2.297e-8 * cos[3.9032125153 + 313054.83769889036 * tau] + 2.097e-8 * cos[2.09090732812 + 23869.1460373874 * tau] + 2.787e-8 * cos[4.34025817469 + 26084.0218062162 * tau] + 2.877e-8 * cos[3.45410696457 + 79323.09135491178 * tau] + 2.710e-8 * cos[4.3127490272 + 58946.51688439399 * tau] + 2.676e-8 * cos[5.73635682216 + 78793.40038981718 * tau] + 2.747e-8 * cos[5.75135788288 + 19317.1925403286 * tau] + 2.791e-8 * cos[2.76839978418 + 26091.7844769322 * tau] + 2.663e-8 * cos[1.70280488847 + 16983.9961474566 * tau] + 2.484e-8 * cos[5.4233220496 + 125887.56221081219 * tau] + 3.048e-8 * cos[0.67698362024 + 9103.9069941176 * tau] + 3.290e-8 * cos[2.93487892542 + 103821.92160120218 * tau] + 3.285e-8 * cos[0.3939808152 + 18849.2275499742 * tau] + 2.767e-8 * cos[4.12700796923 + 27676.976036858 * tau] + 2.680e-8 * cos[4.48235268618 + 71980.63357473118 * tau] + 2.800e-8 * cos[3.88358619611 + 77308.10968311399 * tau] + 2.799e-8 * cos[1.63602212056 + 129330.13715577759 * tau] + 2.908e-8 * cos[4.06284172838 + 26514.5013324502 * tau] + 3.558e-8 * cos[0.98820289555 + 136100.84775702319 * tau] + 3.215e-8 * cos[6.11374633777 + 94138.32702008578 * tau] + 3.100e-8 * cos[3.35203735852 + 19804.8272915828 * tau] + 3.115e-8 * cos[0.74943919509 + 32858.61374281979 * tau] + 4.475e-8 * cos[2.28937952702 + 98690.28051714458 * tau] + 3.348e-8 * cos[5.91868911857 + 43071.8992890308 * tau] + 3.694e-8 * cos[2.75543227024 + 7238.6755916 * tau] + 4.247e-8 * cos[6.23163402945 + 40853.142184844 * tau] + 3.681e-8 * cos[0.47365215122 + 62389.09182935939 * tau] + 4.064e-8 * cos[1.46283079734 + 26107.57290247399 * tau] + 4.047e-8 * cos[5.95235957644 + 38654.05484155699 * tau] + 3.877e-8 * cos[3.60887633874 + 89586.37352302698 * tau] + 4.063e-8 * cos[5.64291749144 + 26068.2333806744 * tau] + 3.971e-8 * cos[5.44452771841 + 6283.0758499914 * tau] + 4.080e-8 * cos[4.01667499 + 91785.46086631398 * tau] + 5.468e-8 * cos[1.43781223143 + 56727.7597802072 * tau] + 4.965e-8 * cos[3.47619946892 + 59414.4818747484 * tau] + 5.601e-8 * cos[5.3719088515 + 955.5997416086 * tau] + 5.714e-8 * cos[2.87339047644 + 79219.30916633119 * tau] + 4.762e-8 * cos[4.68983196238 + 131548.89425996438 * tau] + 5.035e-8 * cos[2.66614676257 + 77837.11123384659 * tau] + 5.116e-8 * cos[2.67576280851 + 76674.63652943878 * tau] + 5.295e-8 * cos[1.35863387771 + 45892.73043315699 * tau] + 5.625e-8 * cos[3.0803000023 + 129380.13377768178 * tau] + 5.825e-8 * cos[6.25072627414 + 33326.5787331742 * tau] + 6.578e-8 * cos[2.66741925057 + 52705.49724824299 * tau] + 8.322e-8 * cos[5.271571288 + 25558.2121764796 * tau] + 7.104e-8 * cos[5.73557153523 + 26617.5941066688 * tau] + 7.253e-8 * cos[2.37179970828 + 99799.65906923798 * tau] + 8.897e-8 * cos[0.39691733779 + 53235.18821333759 * tau] + 9.175e-8 * cos[6.16059719071 + 77734.01845962799 * tau] + 7.640e-8 * cos[3.43584035231 + 36301.18868778519 * tau] + 8.196e-8 * cos[0.84015129448 + 51220.20654153979 * tau] + 8.823e-8 * cos[5.81343662067 + 11322.6640983044 * tau] + 8.835e-8 * cos[0.88128343813 + 286966.93455731616 * tau] + 8.491e-8 * cos[1.05130498445 + 1589.0728952838 * tau] + 8.735e-8 * cos[3.04132552652 + 68050.42387851159 * tau] + 9.011e-8 * cos[1.04262074744 + 426.598190876 * tau] + 9.123e-8 * cos[4.8860439411 + 103242.23401420339 * tau] + 1.2866e-7 * cos[4.81650804018 + 30639.856638633 * tau] + 9.412e-8 * cos[1.82364886045 + 15874.6175953632 * tau] + 9.774e-8 * cos[1.6627176265 + 24498.8302462904 * tau] + 1.0460e-7 * cos[5.82962163777 + 50586.73338786459 * tau] + 1.1047e-7 * cos[5.79741510309 + 51749.20809227239 * tau] + 9.924e-8 * cos[0.94824584866 + 65697.55772473979 * tau] + 1.0213e-7 * cos[2.87881017166 + 12566.1516999828 * tau] + 1.0717e-7 * cos[1.53686240986 + 25661.3049506982 * tau] + 1.1152e-7 * cos[0.5565846182 + 63498.47038145279 * tau] + 1.1042e-7 * cos[4.23192662377 + 110012.94461544899 * tau] + 1.3044e-7 * cos[3.48016433624 + 37410.5672398786 * tau] + 1.2448e-7 * cos[4.05109331029 + 39609.6545831656 * tau] + 1.1261e-7 * cos[0.11326534696 + 13521.7514415914 * tau] + 1.2309e-7 * cos[3.16626298867 + 14765.2390432698 * tau] + 1.4011e-7 * cos[5.52786452723 + 72602.37737557039 * tau] + 1.5795e-7 * cos[3.79629547258 + 529.6909650946 * tau] + 1.5577e-7 * cos[6.07693643204 + 53131.406024757 * tau] + 1.4186e-7 * cos[0.33074185469 + 10213.285546211 * tau] + 1.4984e-7 * cos[1.64717994813 + 105460.99111839019 * tau] + 1.7002e-7 * cos[6.13739392193 + 41962.5207369374 * tau] + 2.0099e-7 * cos[4.06593040301 + 25132.3033999656 * tau] + 1.6971e-7 * cos[0.02791276551 + 103292.23063610759 * tau] + 1.8591e-7 * cos[5.5842727444 + 73711.75592766379 * tau] + 2.0244e-7 * cos[3.06833797229 + 51646.11531805379 * tau] + 2.5199e-7 * cos[3.5906226646 + 27147.28507176339 * tau] + 2.5765e-7 * cos[2.77593370583 + 27043.5028831828 * tau] + 2.8691e-7 * cos[1.84828614269 + 77154.33087262919 * tau] + 3.1808e-7 * cos[2.41474588439 + 47623.8527860896 * tau] + 3.0954e-7 * cos[3.5032802721 + 21535.9496445154 * tau] + 3.1953e-7 * cos[1.18516389747 + 83925.04147387479 * tau] + 3.5911e-7 * cos[1.09057317869 + 1109.3785520934 * tau] + 3.4082e-7 * cos[4.14209210575 + 260879.03141574195 * tau] + 3.7378e-7 * cos[4.45768797944 + 4551.9534970588 * tau] + 4.0766e-7 * cos[2.46558332165 + 46514.4742339962 * tau] + 4.4767e-7 * cos[4.87849816734 + 79373.08797681599 * tau] + 4.6454e-7 * cos[3.23739270829 + 77204.32749453338 * tau] + 4.9948e-7 * cos[3.49752993688 + 5661.3320491522 * tau] + 8.4264e-7 * cos[5.08510388314 + 51066.427731055 * tau] + 7.7747e-7 * cos[0.52557061749 + 1059.3819301892 * tau] + 7.8785e-7 * cos[4.4072588 + 57837.1383323006 * tau] + 9.4574e-7 * cos[1.24184909234 + 31749.2351907264 * tau] + 9.9214e-7 * cos[0.09391887097 + 51116.4243529592 * tau] + 9.1566e-7 * cos[2.28163128692 + 25028.521211385 * tau] + 0.00000121395 * cos[1.81271752059 + 53285.1848352418 * tau] + 0.00000100454 * cos[5.65684734206 + 20426.571092422 * tau] + 0.00000132013 * cos[1.11908492283 + 234791.12827416777 * tau] + 0.00000208584 * cos[2.02020294153 + 24978.5245894808 * tau] + 0.00000207674 * cos[4.91772564073 + 27197.2816936676 * tau] + 0.00000513953 * cos[4.37835409309 + 208703.22513259358 * tau] + 0.00002014189 * cos[1.35324164694 + 182615.32199101939 * tau] + 0.00007963301 * cos[4.60972126348 + 156527.41884944518 * tau] + 0.00031866927 * cos[1.58088495667 + 130439.51570787099 * tau] + 0.0012977877 * cos[4.83232503961 + 104351.61256629678 * tau] + 0.0054325181 * cos[1.79644363963 + 78263.70942472259 * tau] + 0.01222839532 * cos[3.14159265359 + 0.0 * tau] + 0.02388076996 * cos[5.03738959685 + 52175.8062831484 * tau] + 0.11737528962 * cos[1.98357498767 + 26087.9031415742 * tau]; B1 = 2e-11 * cos[1.65727778641 + 163766.09444104518 * tau] + 3e-11 * cos[0.6555617912 + 1692.1656695024 * tau] + 2e-11 * cos[2.37593594042 + 51951.46148744649 * tau] + 3e-11 * cos[4.95012664609 + 102769.65321801379 * tau] + 2e-11 * cos[1.13321786137 + 208173.53416749898 * tau] + 2e-11 * cos[1.76898437388 + 104505.39137678158 * tau] + 2e-11 * cos[2.40342983563 + 53771.99272543299 * tau] + 2e-11 * cos[5.10859116787 + 27669.86248985719 * tau] + 2e-11 * cos[4.40950391344 + 155475.15046625677 * tau] + 3e-11 * cos[4.3496990758 + 78213.71280281838 * tau] + 2e-11 * cos[5.6240507486 + 112231.70171963578 * tau] + 3e-11 * cos[1.30423082531 + 26237.46633870879 * tau] + 2e-11 * cos[4.29258038531 + 198489.93958638258 * tau] + 2e-11 * cos[3.73653346143 + 48847.6706268682 * tau] + 2e-11 * cos[1.82577636633 + 181026.24909573558 * tau] + 3e-11 * cos[2.06356044829 + 181659.72224941078 * tau] + 3e-11 * cos[1.27522510736 + 44295.7171298094 * tau] + 3e-11 * cos[3.47745075021 + 49842.60989027639 * tau] + 2e-11 * cos[1.28026650043 + 96357.08412427259 * tau] + 3e-11 * cos[0.92825301327 + 29428.515568274 * tau] + 2e-11 * cos[5.24862580724 + 32769.1279949738 * tau] + 3e-11 * cos[2.91888451759 + 235900.50682626116 * tau] + 3e-11 * cos[1.40305085463 + 52278.89905736699 * tau] + 2e-11 * cos[3.65273296014 + 53029.0026649004 * tau] + 3e-11 * cos[0.58543714627 + 136722.59155786238 * tau] + 2e-11 * cos[4.79210725186 + 64901.25971792339 * tau] + 2e-11 * cos[5.43620933898 + 240452.46032331996 * tau] + 3e-11 * cos[3.43071585489 + 51219.51712717779 * tau] + 3e-11 * cos[2.3716713866 + 103.0927742186 * tau] + 3e-11 * cos[2.37265737062 + 141762.17980617538 * tau] + 3e-11 * cos[0.65362427623 + 1162.4747044078 * tau] + 3e-11 * cos[1.23213629886 + 183570.92173262799 * tau] + 3e-11 * cos[2.18659555288 + 196137.07343261078 * tau] + 3e-11 * cos[0.89820153238 + 182188.72380014337 * tau] + 3e-11 * cos[2.23638545873 + 417406.45026518717 * tau] + 3e-11 * cos[2.3525187781 + 50483.640613646 * tau] + 3e-11 * cos[5.49839860031 + 78786.28684281638 * tau] + 3e-11 * cos[5.58865591583 + 52381.99183158559 * tau] + 3e-11 * cos[3.5845123152 + 19406.6782881746 * tau] + 3e-11 * cos[2.00390511344 + 25984.8103673556 * tau] + 3e-11 * cos[6.04124419781 + 16066.0658614748 * tau] + 4e-11 * cos[2.74224804458 + 133882.09065283638 * tau] + 3e-11 * cos[5.04736992413 + 167850.08294774959 * tau] + 3e-11 * cos[1.00111385284 + 12546.481939083 * tau] + 3e-11 * cos[2.21015804942 + 130866.11389874699 * tau] + 4e-11 * cos[2.36349454401 + 3328.13565628019 * tau] + 3e-11 * cos[2.37223694472 + 11610.5519583742 * tau] + 3e-11 * cos[1.56467339056 + 183674.70392120858 * tau] + 3e-11 * cos[3.88568044923 + 156531.30018480319 * tau] + 3e-11 * cos[5.44799723236 + 52609.51802102519 * tau] + 4e-11 * cos[6.08402133763 + 233681.74972207438 * tau] + 3e-11 * cos[1.8367025094 + 78187.44335344699 * tau] + 4e-11 * cos[3.19530187424 + 103498.41618454478 * tau] + 3e-11 * cos[0.29051326311 + 66653.15746634839 * tau] + 3e-11 * cos[2.33740424416 + 86143.79857806159 * tau] + 3e-11 * cos[4.04927793779 + 183145.01295611398 * tau] + 3e-11 * cos[5.34278285975 + 77616.69859140778 * tau] + 4e-11 * cos[3.62687237484 + 78149.27013603736 * tau] + 3e-11 * cos[1.9219127492 + 87367.61641884019 * tau] + 4e-11 * cos[2.19880101386 + 137210.22630911658 * tau] + 3e-11 * cos[4.39477038963 + 102755.42612401219 * tau] + 4e-11 * cos[3.34724303278 + 55503.94193942859 * tau] + 4e-11 * cos[3.35681065144 + 80382.47328510099 * tau] + 3e-11 * cos[4.90402266218 + 77630.92568540938 * tau] + 3e-11 * cos[5.3837822517 + 79315.97780791098 * tau] + 4e-11 * cos[5.13753166239 + 137678.19129947099 * tau] + 4e-11 * cos[5.97032773544 + 78731.674415077 * tau] + 3e-11 * cos[4.02158764895 + 52712.61079524379 * tau] + 3e-11 * cos[4.15170143655 + 25867.49049913539 * tau] + 4e-11 * cos[3.01307667234 + 80596.9058175946 * tau] + 4e-11 * cos[4.27504704332 + 956.2891559706 * tau] + 4e-11 * cos[0.53239895977 + 156507.74908854539 * tau] + 4e-11 * cos[0.8140714413 + 75930.51303185058 * tau] + 4e-11 * cos[2.64302747396 + 75615.25459924959 * tau] + 4e-11 * cos[5.2343783992 + 206.1855484372 * tau] + 5e-11 * cos[4.90494970331 + 79330.20490191258 * tau] + 4e-11 * cos[4.99518857973 + 166740.70439565618 * tau] + 5e-11 * cos[1.7809608149 + 116783.65521669458 * tau] + 4e-11 * cos[0.3258927484 + 52595.29092702359 * tau] + 4e-11 * cos[3.16756186361 + 78378.14871340781 * tau] + 4e-11 * cos[2.90387262796 + 128320.75184749259 * tau] + 6e-11 * cos[6.07125845396 + 1478.8665740644 * tau] + 5e-11 * cos[5.67226040777 + 68241.87214462319 * tau] + 4e-11 * cos[1.41880070183 + 31415.379249957 * tau] + 4e-11 * cos[5.09490146272 + 76.2660712756 * tau] + 4e-11 * cos[2.52659732174 + 132028.58860315479 * tau] + 5e-11 * cos[3.53504145685 + 130226.21661243298 * tau] + 4e-11 * cos[0.60263195052 + 6681.2248533996 * tau] + 4e-11 * cos[4.09490053686 + 143005.66740785378 * tau] + 4e-11 * cos[1.25993980368 + 233731.74634397858 * tau] + 4e-11 * cos[0.04822157393 + 71582.48457132299 * tau] + 4e-11 * cos[4.90210493212 + 123200.84011627098 * tau] + 6e-11 * cos[5.79832326006 + 150244.34299945379 * tau] + 5e-11 * cos[1.62128192664 + 65831.6667743248 * tau] + 5e-11 * cos[4.83610476376 + 78417.48823520739 * tau] + 6e-11 * cos[3.31942003464 + 25881.717593137 * tau] + 6e-11 * cos[1.78589858446 + 76681.75007643958 * tau] + 6e-11 * cos[6.1289854729 + 132658.27281205778 * tau] + 5e-11 * cos[3.87958020217 + 25440.89230825939 * tau] + 6e-11 * cos[3.76267562514 + 110634.68841628819 * tau] + 6e-11 * cos[0.61515143577 + 126996.94076290558 * tau] + 5e-11 * cos[0.44843767302 + 203041.89308344138 * tau] + 6e-11 * cos[5.59932602145 + 154938.34595416138 * tau] + 5e-11 * cos[4.45623339313 + 145204.75475114079 * tau] + 6e-11 * cos[0.24412111381 + 128220.75860368418 * tau] + 6e-11 * cos[5.6496176752 + 52225.8029050526 * tau] + 7e-11 * cos[0.02670007799 + 130432.40216087017 * tau] + 5e-11 * cos[5.18242316734 + 13362.4497067992 * tau] + 5e-11 * cos[3.31021043385 + 111590.28815789679 * tau] + 5e-11 * cos[0.71252148739 + 103932.12792242158 * tau] + 5e-11 * cos[5.4235609608 + 3340.6124266998 * tau] + 6e-11 * cos[4.10195998301 + 51707.84129279399 * tau] + 5e-11 * cos[1.47580092631 + 78114.14622758799 * tau] + 5e-11 * cos[5.58094407959 + 130435.63437251298 * tau] + 6e-11 * cos[2.05839183005 + 130652.81480330898 * tau] + 5e-11 * cos[1.55562437906 + 26294.08869001139 * tau] + 6e-11 * cos[0.5570238657 + 204151.27163553478 * tau] + 6e-11 * cos[1.33523648266 + 78903.60671103658 * tau] + 6e-11 * cos[3.96170038596 + 123668.80510662538 * tau] + 6e-11 * cos[4.61189217781 + 157483.01859105378 * tau] + 6e-11 * cos[1.27631388714 + 103917.90082841998 * tau] + 6e-11 * cos[5.30561035943 + 77726.90491262719 * tau] + 8e-11 * cos[4.47849277972 + 10021.8372800994 * tau] + 6e-11 * cos[4.86066957244 + 7880.08915333899 * tau] + 7e-11 * cos[1.76385898252 + 129373.02023068098 * tau] + 7e-11 * cos[5.58541192959 + 129799.61842155698 * tau] + 8e-11 * cos[4.055541562 + 156100.82065856918 * tau] + 9e-11 * cos[5.37562306264 + 170049.17029103659 * tau] + 8e-11 * cos[2.0895971735 + 25565.3257234804 * tau] + 7e-11 * cos[2.63009300708 + 130459.18546877075 * tau] + 9e-11 * cos[0.56618846666 + 522.5774180938 * tau] + 8e-11 * cos[5.0655882241 + 61279.713277266 * tau] + 8e-11 * cos[0.00476652316 + 209812.60368468695 * tau] + 7e-11 * cos[5.1510763867 + 149.5631971346 * tau] + 7e-11 * cos[5.92438953036 + 130446.62925487179 * tau] + 7e-11 * cos[4.93485551094 + 48835.19385644859 * tau] + 9e-11 * cos[0.46231104626 + 26624.70765366959 * tau] + 8e-11 * cos[2.43297081646 + 131395.11544947959 * tau] + 9e-11 * cos[1.17621493154 + 172402.03644480839 * tau] + 1.0e-10 * cos[1.31510855953 + 52125.80966124419 * tau] + 8e-11 * cos[3.27339488052 + 27311.72098235281 * tau] + 1.1e-10 * cos[2.85637796333 + 52643.7712735028 * tau] + 9e-11 * cos[5.45351693096 + 104778.21075717278 * tau] + 8e-11 * cos[5.72234642822 + 161079.37234650398 * tau] + 1.0e-10 * cos[1.34737181255 + 2648.454825473 * tau] + 8e-11 * cos[3.86388656969 + 24864.08530079559 * tau] + 8e-11 * cos[1.25238578145 + 129387.24732468258 * tau] + 9e-11 * cos[3.34775259107 + 22747.2907148744 * tau] + 8e-11 * cos[4.26127907796 + 182085.63102592478 * tau] + 9e-11 * cos[4.28124553384 + 121335.60871375339 * tau] + 9e-11 * cos[1.96066446481 + 51528.79544983359 * tau] + 1.0e-10 * cos[0.72339727974 + 22759.76748529401 * tau] + 1.0e-10 * cos[0.09698975387 + 29416.03879785439 * tau] + 1.1e-10 * cos[6.09445403088 + 26555.8681319286 * tau] + 9e-11 * cos[5.63092803389 + 27684.0895838588 * tau] + 1.1e-10 * cos[4.68946178137 + 26190.99591579279 * tau] + 1.0e-10 * cos[1.49161844344 + 52329.58509363319 * tau] + 1.0e-10 * cos[0.55390559777 + 26941.0995233262 * tau] + 1.1e-10 * cos[5.98419309923 + 107794.18751126219 * tau] + 1.1e-10 * cos[5.27116774881 + 155571.81910783658 * tau] + 1.0e-10 * cos[1.23610986711 + 76667.52298243798 * tau] + 1.1e-10 * cos[1.24041943634 + 51543.0225438352 * tau] + 1.2e-10 * cos[5.21962000846 + 25551.09862947879 * tau] + 1.0e-10 * cos[2.38363926963 + 52698.38370124219 * tau] + 1.2e-10 * cos[3.95784286024 + 72936.23331633979 * tau] + 1.1e-10 * cos[4.82050468552 + 647.0108333148 * tau] + 1.2e-10 * 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+ 1.42e-9 * cos[3.0720910315 + 3442.5749449654 * tau] + 1.63e-9 * cos[6.05484015332 + 26080.78959457339 * tau] + 1.38e-9 * cos[2.34393108627 + 1052.2683831884 * tau] + 1.74e-9 * cos[5.88326736492 + 136100.84775702319 * tau] + 1.34e-9 * cos[0.9493002873 + 25021.4076643842 * tau] + 1.48e-9 * cos[3.87588943419 + 124778.18365871879 * tau] + 1.69e-9 * cos[3.40273824751 + 25874.6040461362 * tau] + 1.90e-9 * cos[3.05043439775 + 27676.976036858 * tau] + 1.40e-9 * cos[2.64826898848 + 16983.9961474566 * tau] + 1.45e-9 * cos[3.39803928124 + 45892.73043315699 * tau] + 1.92e-9 * cos[5.5021820905 + 339142.74084046457 * tau] + 1.57e-9 * cos[3.02451795123 + 52182.9198301492 * tau] + 2.01e-9 * cos[4.78711687782 + 40853.142184844 * tau] + 1.58e-9 * cos[3.63030783882 + 49957.0491789616 * tau] + 1.83e-9 * cos[1.42148796836 + 77734.01845962799 * tau] + 1.65e-9 * cos[0.4912369438 + 25035.6347583858 * tau] + 1.75e-9 * cos[2.91183047213 + 82815.66292178139 * tau] + 2.05e-9 * cos[1.89888752382 + 79323.09135491178 * tau] + 1.73e-9 * cos[3.1849677146 + 155418.04029735178 * tau] + 2.15e-9 * cos[4.50903357312 + 78793.40038981718 * tau] + 1.76e-9 * cos[5.15204624857 + 89586.37352302698 * tau] + 2.23e-9 * cos[2.96569885227 + 110012.94461544899 * tau] + 1.79e-9 * cos[4.43018837604 + 77837.11123384659 * tau] + 2.07e-9 * cos[2.89949362192 + 7.1135470008 * tau] + 1.88e-9 * cos[3.90664116889 + 48733.23133818299 * tau] + 1.94e-9 * cos[5.05904557922 + 51109.31080595839 * tau] + 2.53e-9 * cos[4.21581970504 + 79219.30916633119 * tau] + 2.51e-9 * cos[1.9004750479 + 14765.2390432698 * tau] + 2.35e-9 * cos[5.08060846802 + 59414.4818747484 * tau] + 2.63e-9 * cos[4.64138649646 + 69159.80243060499 * tau] + 2.91e-9 * cos[4.22929240183 + 52179.6876185064 * tau] + 2.12e-9 * cos[5.33861521612 + 15874.6175953632 * tau] + 2.10e-9 * cos[3.16281965425 + 29530.4780865396 * tau] + 2.45e-9 * cos[4.269960324 + 19317.1925403286 * tau] + 2.29e-9 * cos[5.16737598091 + 36301.18868778519 * tau] + 2.34e-9 * cos[2.51108507067 + 77308.10968311399 * tau] + 2.39e-9 * cos[3.35169081927 + 52168.69273614759 * tau] + 3.38e-9 * cos[1.55189200325 + 52705.49724824299 * tau] + 2.86e-9 * cos[2.39648280163 + 19804.8272915828 * tau] + 2.48e-9 * cos[2.3439684006 + 51535.90899683439 * tau] + 3.58e-9 * cos[6.14890038263 + 56727.7597802072 * tau] + 3.45e-9 * cos[0.84406679212 + 98690.28051714458 * tau] + 3.10e-9 * cos[2.69873876637 + 52171.9249477904 * tau] + 3.52e-9 * cos[5.92675293084 + 25661.3049506982 * tau] + 3.52e-9 * cos[0.879394819 + 52156.1365222486 * tau] + 3.64e-9 * cos[5.87784809361 + 58946.51688439399 * tau] + 3.14e-9 * cos[2.40932519602 + 83925.04147387479 * tau] + 3.08e-9 * cos[3.30225015955 + 54394.56338733519 * tau] + 3.78e-9 * cos[5.09810178577 + 53235.18821333759 * tau] + 4.24e-9 * cos[0.29775934661 + 1589.0728952838 * tau] + 3.46e-9 * cos[2.03170085305 + 27147.28507176339 * tau] + 3.29e-9 * cos[2.59508442112 + 65697.55772473979 * tau] + 3.69e-9 * cos[4.43217995206 + 22645.32819660879 * tau] + 3.35e-9 * cos[0.5599660533 + 23869.1460373874 * tau] + 3.83e-9 * cos[6.05537830853 + 52195.47604404819 * tau] + 4.36e-9 * cos[1.46213785727 + 43071.8992890308 * tau] + 4.30e-9 * cos[3.91046377635 + 76674.63652943878 * tau] + 4.33e-9 * cos[2.10197184422 + 24498.8302462904 * tau] + 4.67e-9 * cos[5.56622114735 + 4551.9534970588 * tau] + 4.59e-9 * cos[5.81611579004 + 51220.20654153979 * tau] + 4.94e-9 * cos[0.0743055645 + 28306.66024576099 * tau] + 4.70e-9 * cos[5.04436148211 + 13521.7514415914 * tau] + 4.74e-9 * cos[2.61466823958 + 32858.61374281979 * tau] + 4.95e-9 * cos[0.14776350456 + 129330.13715577759 * tau] + 6.69e-9 * cos[4.10310179631 + 72602.37737557039 * tau] + 6.65e-9 * cos[2.47994200156 + 313054.83769889036 * tau] + 6.33e-9 * cos[3.07427024064 + 30639.856638633 * tau] + 6.38e-9 * cos[1.16941585214 + 26091.7844769322 * tau] + 7.21e-9 * cos[1.16472614778 + 46514.4742339962 * tau] + 6.10e-9 * cos[2.96796433797 + 25132.3033999656 * tau] + 6.16e-9 * cos[5.9536898243 + 39609.6545831656 * tau] + 8.41e-9 * cos[5.9320678781 + 26084.0218062162 * tau] + 6.81e-9 * cos[1.40695567526 + 51749.20809227239 * tau] + 7.39e-9 * cos[3.05842748947 + 105460.99111839019 * tau] + 9.22e-9 * cos[2.30268247092 + 1109.3785520934 * tau] + 7.03e-9 * cos[2.22466530621 + 10213.285546211 * tau] + 7.55e-9 * cos[4.1091063739 + 26068.2333806744 * tau] + 7.31e-9 * cos[0.92148918837 + 73711.75592766379 * tau] + 7.94e-9 * cos[2.16868396183 + 63498.47038145279 * tau] + 7.83e-9 * cos[1.5096269941 + 41962.5207369374 * tau] + 7.82e-9 * cos[6.08817839271 + 529.6909650946 * tau] + 9.29e-9 * cos[4.81159652409 + 51646.11531805379 * tau] + 9.05e-9 * cos[3.34776562702 + 25558.2121764796 * tau] + 1.063e-8 * cos[1.28486292967 + 53131.406024757 * tau] + 9.18e-9 * cos[1.89988871166 + 1059.3819301892 * tau] + 1.050e-8 * cos[3.00944151152 + 26107.57290247399 * tau] + 1.076e-8 * cos[0.95624460335 + 50586.73338786459 * tau] + 1.297e-8 * cos[5.34251327744 + 37410.5672398786 * tau] + 1.345e-8 * cos[3.39193943388 + 103242.23401420339 * tau] + 1.398e-8 * cos[0.66375029294 + 20426.571092422 * tau] + 1.518e-8 * cos[5.01636479848 + 77204.32749453338 * tau] + 1.523e-8 * cos[1.97926797181 + 5661.3320491522 * tau] + 1.651e-8 * cos[4.43606584681 + 27043.5028831828 * tau] + 2.380e-8 * cos[4.0021366655 + 21535.9496445154 * tau] + 2.286e-8 * cos[5.74036496396 + 286966.93455731616 * tau] + 2.126e-8 * cos[4.16352818018 + 47623.8527860896 * tau] + 2.742e-8 * cos[0.98758439378 + 25028.521211385 * tau] + 2.932e-8 * cos[5.95430013169 + 57837.1383323006 * tau] + 3.481e-8 * cos[0.10739761667 + 79373.08797681599 * tau] + 3.394e-8 * cos[0.34761695275 + 77154.33087262919 * tau] + 5.453e-8 * cos[1.97318763801 + 51116.4243529592 * tau] + 6.183e-8 * cos[2.92383205004 + 31749.2351907264 * tau] + 7.527e-8 * cos[3.58305121268 + 51066.427731055 * tau] + 7.781e-8 * cos[2.71768609268 + 260879.03141574195 * tau] + 1.2720e-7 * cos[0.53792661684 + 24978.5245894808 * tau] + 1.2831e-7 * cos[3.37744320558 + 53285.1848352418 * tau] + 2.7696e-7 * cos[0.29068938889 + 27197.2816936676 * tau] + 2.6133e-7 * cos[5.97708962692 + 234791.12827416777 * tau] + 8.6233e-7 * cos[2.95244391822 + 208703.22513259358 * tau] + 0.00000277503 * cos[6.21020774184 + 182615.32199101939 * tau] + 0.00000859585 * cos[3.18452433647 + 156527.41884944518 * tau] + 0.00002495743 * cos[0.16051210665 + 130439.51570787099 * tau] + 0.00006353462 * cos[3.42943919982 + 104351.61256629678 * tau] + 0.00010894981 * cos[0.48540174006 + 78263.70942472259 * tau] + 0.00022675295 * cos[0.0151536688 + 52175.8062831484 * tau] + 0.00146233668 * cos[3.14159265359 + 0.0 * tau] + 0.00429151362 * cos[3.50169780393 + 26087.9031415742 * tau]; B2 = 1e-11 * cos[1.16964771504 + 134991.46920492979 * tau] + 1e-11 * cos[1.12941846578 + 60055.89543648739 * tau] + 1e-11 * cos[1.4544292039 + 207593.84658050018 * tau] + 1e-11 * cos[1.44980129997 + 26727.8004278882 * tau] + 1e-11 * cos[6.02359186416 + 181555.94006083018 * tau] + 1e-11 * cos[0.91634007063 + 103925.01437542078 * tau] + 1e-11 * cos[5.66709359706 + 433.7117378768 * tau] + 1e-11 * cos[3.06688416266 + 129909.82474277639 * tau] + 1e-11 * cos[5.66312942513 + 97580.90196505119 * tau] + 1e-11 * cos[0.57714874874 + 71980.63357473118 * tau] + 1e-11 * cos[3.99494842792 + 71025.03383312259 * tau] + 1e-11 * cos[2.1046897466 + 25619.9381512198 * tau] + 1e-11 * cos[1.86810476133 + 125887.56221081219 * tau] + 1e-11 * cos[6.0834623193 + 70269.18098269838 * tau] + 1e-11 * cos[0.3378067084 + 88476.99497093359 * tau] + 1e-11 * cos[0.81835364761 + 35191.8101356918 * tau] + 1e-11 * cos[2.46437105095 + 104355.49390165479 * tau] + 1e-11 * cos[0.66520680194 + 419.4846438752 * tau] + 1e-11 * cos[1.03752853909 + 104347.73123093879 * tau] + 1e-11 * cos[1.40205887414 + 44937.1306915484 * tau] + 1e-11 * cos[5.31900403501 + 78149.27013603736 * tau] + 1e-11 * cos[1.70741856509 + 28206.6670019526 * tau] + 1e-11 * cos[4.00786092689 + 78244.0396638228 * tau] + 2e-11 * cos[6.27597485867 + 91785.46086631398 * tau] + 1e-11 * cos[1.50558734911 + 78378.14871340781 * tau] + 1e-11 * cos[1.64083661387 + 78283.37918562238 * tau] + 1e-11 * cos[4.3906969233 + 104371.28232719658 * tau] + 1e-11 * cos[3.9968745549 + 188276.65404017158 * tau] + 1e-11 * cos[4.6544150087 + 78259.82808936459 * tau] + 2e-11 * cos[5.13550087739 + 6770.7106012456 * tau] + 1e-11 * cos[2.42972717822 + 94138.32702008578 * tau] + 2e-11 * cos[1.93198050022 + 853.196381752 * tau] + 2e-11 * cos[1.92656028088 + 102132.85546210999 * tau] + 1e-11 * cos[0.44808516059 + 78050.41032928458 * tau] + 1e-11 * cos[5.49175475674 + 104331.94280539699 * tau] + 2e-11 * cos[5.12532278095 + 78267.59076008058 * tau] + 1e-11 * cos[3.11496551907 + 25934.1243310894 * tau] + 1e-11 * cos[0.17409967102 + 131498.89763806018 * tau] + 1e-11 * cos[2.34997564292 + 85502.38501632259 * tau] + 2e-11 * cos[6.0451587872 + 25035.6347583858 * tau] + 2e-11 * cos[5.84222491614 + 103821.92160120218 * tau] + 2e-11 * cos[2.72257468038 + 7994.5284420242 * tau] + 2e-11 * cos[2.60965333457 + 52602.4044740244 * tau] + 2e-11 * cos[2.80140642811 + 62389.09182935939 * tau] + 2e-11 * cos[5.1209935622 + 51322.60990139639 * tau] + 2e-11 * cos[1.80783236802 + 23969.1392811958 * tau] + 2e-11 * cos[3.94039306142 + 391318.54712361297 * tau] + 2e-11 * cos[0.99320491085 + 162188.75089859738 * tau] + 2e-11 * cos[0.20969999844 + 19804.8272915828 * tau] + 2e-11 * cos[0.16105302705 + 25021.4076643842 * tau] + 2e-11 * cos[0.86961235954 + 129483.91596626239 * tau] + 2e-11 * cos[1.36487993355 + 79852.78232000639 * tau] + 2e-11 * cos[1.39891525246 + 81706.28436968799 * tau] + 3e-11 * cos[1.68659744145 + 28421.0995344462 * tau] + 2e-11 * cos[6.18606575651 + 51123.53789995999 * tau] + 2e-11 * cos[2.74114399659 + 130969.20667296558 * tau] + 3e-11 * cos[4.49779099 + 76144.94556434419 * tau] + 3e-11 * cos[6.16142033746 + 78477.00852016058 * tau] + 2e-11 * cos[3.04958336441 + 93028.94846799239 * tau] + 3e-11 * cos[4.14284031224 + 85034.42002596818 * tau] + 2e-11 * cos[5.60083003625 + 26514.5013324502 * tau] + 2e-11 * cos[2.59250638038 + 155468.03691925599 * tau] + 2e-11 * cos[5.29927753161 + 64741.95798313119 * tau] + 2e-11 * cos[2.6174140723 + 71492.99882347698 * tau] + 3e-11 * cos[1.21305125502 + 105307.21230790539 * tau] + 3e-11 * cos[4.9197929909 + 18849.2275499742 * tau] + 3e-11 * cos[5.12230469501 + 32370.9789915656 * tau] + 3e-11 * cos[4.74285528385 + 53764.8791784322 * tau] + 3e-11 * cos[4.24481036893 + 136100.84775702319 * tau] + 3e-11 * cos[5.79669813464 + 131548.89425996438 * tau] + 3e-11 * cos[5.2163956913 + 150866.08680029298 * tau] + 3e-11 * cos[2.7199654281 + 38654.05484155699 * tau] + 3e-11 * cos[4.38738526963 + 108903.56606335558 * tau] + 3e-11 * cos[0.33551297325 + 13655.8604911764 * tau] + 3e-11 * cos[4.90907522926 + 99799.65906923798 * tau] + 3e-11 * cos[3.64497587259 + 64607.84893354619 * tau] + 4e-11 * cos[3.40685398189 + 52389.1053785864 * tau] + 3e-11 * cos[3.84817111044 + 2218.7571041868 * tau] + 4e-11 * cos[5.56139758889 + 26301.2022370122 * tau] + 4e-11 * cos[3.40653389629 + 105410.99449648599 * tau] + 4e-11 * cos[0.905624683 + 77623.81213840858 * tau] + 4e-11 * cos[4.37998582536 + 52182.9198301492 * tau] + 4e-11 * cos[2.92685125689 + 639.897286314 * tau] + 4e-11 * cos[1.81128771043 + 102762.53967101299 * tau] + 4e-11 * cos[5.09850398144 + 77837.11123384659 * tau] + 3e-11 * cos[3.19112063073 + 13521.7514415914 * tau] + 4e-11 * cos[5.29735530203 + 52179.6876185064 * tau] + 4e-11 * cos[2.43638238426 + 74821.13447975718 * tau] + 4e-11 * cos[6.07508617692 + 2118.7638603784 * tau] + 4e-11 * cos[0.62543334322 + 11322.6640983044 * tau] + 5e-11 * cos[3.86489045633 + 9103.9069941176 * tau] + 5e-11 * cos[3.20016226905 + 426.598190876 * tau] + 4e-11 * cos[5.32828531774 + 25448.00585526019 * tau] + 5e-11 * cos[3.78671774559 + 52171.9249477904 * tau] + 5e-11 * cos[5.7581296517 + 104881.30353139139 * tau] + 5e-11 * cos[0.38451698643 + 955.5997416086 * tau] + 4e-11 * cos[0.29398633221 + 51109.31080595839 * tau] + 5e-11 * cos[4.23944686799 + 103396.01282468818 * tau] + 4e-11 * cos[0.23100295125 + 89586.37352302698 * tau] + 6e-11 * cos[0.86124028508 + 52195.47604404819 * tau] + 5e-11 * cos[6.27908880897 + 66941.04532641819 * tau] + 6e-11 * cos[5.23350745087 + 129380.13377768178 * tau] + 4e-11 * cos[1.93085125724 + 52156.1365222486 * tau] + 5e-11 * cos[2.24953488234 + 52061.36699446317 * tau] + 5e-11 * cos[5.35730277715 + 12566.1516999828 * tau] + 5e-11 * cos[4.67655631038 + 181505.94343892598 * tau] + 5e-11 * cos[1.65565332809 + 80482.46652890938 * tau] + 6e-11 * cos[4.72387999717 + 52290.24557183361 * tau] + 5e-11 * cos[5.5815366372 + 68050.42387851159 * tau] + 6e-11 * cos[0.7144527205 + 27147.28507176339 * tau] + 7e-11 * cos[5.49596353318 + 23754.70674870219 * tau] + 5e-11 * cos[2.013597281 + 27676.976036858 * tau] + 6e-11 * cos[1.61443478349 + 3442.5749449654 * tau] + 7e-11 * cos[2.06447590782 + 124778.18365871879 * tau] + 6e-11 * cos[5.13879522396 + 76044.9523205358 * tau] + 7e-11 * cos[3.14407932401 + 51962.5071877104 * tau] + 7e-11 * cos[5.41918774642 + 1109.3785520934 * tau] + 7e-11 * cos[4.12285655199 + 45892.73043315699 * tau] + 6e-11 * cos[0.6782367506 + 110012.94461544899 * tau] + 8e-11 * cos[0.34211699258 + 79323.09135491178 * tau] + 6e-11 * cos[4.85942618671 + 52168.69273614759 * tau] + 6e-11 * cos[4.57200111034 + 55618.3812281138 * tau] + 7e-11 * cos[3.82318715536 + 1052.2683831884 * tau] + 7e-11 * cos[5.80782632115 + 45405.0956819028 * tau] + 7e-11 * cos[3.40544433462 + 1066.49547719 * tau] + 8e-11 * cos[3.00335450338 + 40853.142184844 * tau] + 7e-11 * cos[1.3551301451 + 82815.66292178139 * tau] + 9e-11 * cos[6.08426293157 + 69159.80243060499 * tau] + 8e-11 * cos[5.99792913268 + 7.1135470008 * tau] + 7e-11 * cos[0.54370332724 + 38519.945791972 * tau] + 7e-11 * cos[1.48753095657 + 29530.4780865396 * tau] + 8e-11 * cos[6.07959531374 + 59414.4818747484 * tau] + 8e-11 * cos[2.05186284069 + 30639.856638633 * tau] + 9e-11 * cos[3.03935867498 + 78793.40038981718 * tau] + 1.0e-10 * cos[3.56346926379 + 53235.18821333759 * tau] + 8e-11 * cos[0.85708473896 + 365230.64398203876 * tau] + 1.0e-10 * cos[3.63881306668 + 65697.55772473979 * tau] + 8e-11 * cos[2.22267415318 + 6283.0758499914 * tau] + 1.1e-10 * cos[4.59333229552 + 56727.7597802072 * tau] + 1.2e-10 * cos[2.44342322463 + 213.299095438 * tau] + 1.1e-10 * cos[1.59577581724 + 50057.04242277 * tau] + 1.0e-10 * cos[5.42117419251 + 14765.2390432698 * tau] + 1.1e-10 * cos[6.12421691815 + 52705.49724824299 * tau] + 1.2e-10 * cos[1.64438976704 + 26202.34243025941 * tau] + 1.0e-10 * cos[2.67818215946 + 77734.01845962799 * tau] + 1.0e-10 * cos[3.10957426655 + 16983.9961474566 * tau] + 1.0e-10 * cos[3.19718718931 + 24498.8302462904 * tau] + 1.2e-10 * cos[5.16549673414 + 1589.0728952838 * tau] + 1.2e-10 * cos[6.17629016531 + 36301.18868778519 * tau] + 1.4e-10 * cos[5.48457159802 + 98690.28051714458 * tau] + 1.2e-10 * cos[2.74476655782 + 19317.1925403286 * tau] + 1.2e-10 * cos[1.33980027148 + 77308.10968311399 * tau] + 1.5e-10 * cos[3.49521469034 + 83925.04147387479 * tau] + 1.1e-10 * cos[5.16599347976 + 15874.6175953632 * tau] + 1.2e-10 * cos[2.93766606728 + 33326.5787331742 * tau] + 1.2e-10 * cos[5.15541566845 + 79219.30916633119 * tau] + 1.5e-10 * cos[5.43792291298 + 25973.46385288896 * tau] + 1.3e-10 * cos[1.65023710844 + 26095.016688575 * tau] + 1.4e-10 * cos[5.66400816218 + 48733.23133818299 * tau] + 1.3e-10 * cos[2.08475100066 + 49957.0491789616 * tau] + 1.6e-10 * cos[2.09223320909 + 103292.23063610759 * tau] + 1.3e-10 * cos[3.28426450224 + 25661.3049506982 * tau] + 1.4e-10 * cos[2.35860855509 + 26080.78959457339 * tau] + 1.6e-10 * cos[4.0210564377 + 105460.99111839019 * tau] + 1.9e-10 * cos[0.32685450395 + 4551.9534970588 * tau] + 1.8e-10 * cos[2.11191340126 + 26617.5941066688 * tau] + 1.7e-10 * cos[1.67702029587 + 155418.04029735178 * tau] + 2.0e-10 * cos[2.44092663198 + 51749.20809227239 * tau] + 1.9e-10 * cos[2.02802084878 + 73711.75592766379 * tau] + 1.9e-10 * cos[2.26589689692 + 72602.37737557039 * tau] + 1.7e-10 * cos[4.06375348164 + 51535.90899683439 * tau] + 2.0e-10 * cos[6.05659966832 + 25028.521211385 * tau] + 2.5e-10 * cos[5.17153436907 + 76674.63652943878 * tau] + 2.1e-10 * cos[4.78965226125 + 51220.20654153979 * tau] + 2.3e-10 * cos[1.1425826685 + 58946.51688439399 * tau] + 2.6e-10 * cos[3.11971794265 + 43071.8992890308 * tau] + 2.1e-10 * cos[5.85119251529 + 25874.6040461362 * tau] + 2.4e-10 * cos[2.71284750937 + 26091.7844769322 * tau] + 3.0e-10 * cos[1.15631768661 + 26084.0218062162 * tau] + 2.7e-10 * cos[3.32081057071 + 10213.285546211 * tau] + 2.4e-10 * cos[4.8636944533 + 46514.4742339962 * tau] + 2.3e-10 * cos[5.30820497885 + 23869.1460373874 * tau] + 2.8e-10 * cos[0.80200569507 + 39609.6545831656 * tau] + 2.9e-10 * cos[4.01947170286 + 339142.74084046457 * tau] + 2.9e-10 * cos[3.56940606994 + 63498.47038145279 * tau] + 2.9e-10 * cos[2.70280425915 + 41962.5207369374 * tau] + 2.5e-10 * cos[3.31115218239 + 1059.3819301892 * tau] + 2.9e-10 * cos[5.66168505554 + 26068.2333806744 * tau] + 2.7e-10 * cos[4.8718083816 + 54394.56338733519 * tau] + 3.0e-10 * cos[0.7660773863 + 5661.3320491522 * tau] + 3.2e-10 * cos[1.99466664427 + 25132.3033999656 * tau] + 3.7e-10 * cos[4.50512068847 + 26107.57290247399 * tau] + 3.3e-10 * cos[4.34189175312 + 32858.61374281979 * tau] + 3.6e-10 * cos[5.61094806248 + 22645.32819660879 * tau] + 4.2e-10 * cos[4.89875940528 + 129330.13715577759 * tau] + 4.3e-10 * cos[6.15538236294 + 51646.11531805379 * tau] + 6.1e-10 * cos[1.64891174657 + 20426.571092422 * tau] + 5.2e-10 * cos[3.58488737294 + 25558.2121764796 * tau] + 4.6e-10 * cos[5.77182292982 + 529.6909650946 * tau] + 6.0e-10 * cos[0.54679388547 + 37410.5672398786 * tau] + 5.8e-10 * cos[5.88387132512 + 77204.32749453338 * tau] + 4.9e-10 * cos[1.7819375356 + 28306.66024576099 * tau] + 7.4e-10 * cos[2.28645155343 + 50586.73338786459 * tau] + 5.8e-10 * cos[2.35944147105 + 53131.406024757 * tau] + 9.3e-10 * cos[1.01040170383 + 313054.83769889036 * tau] + 7.9e-10 * cos[5.50027152752 + 47623.8527860896 * tau] + 8.1e-10 * cos[0.85802178989 + 57837.1383323006 * tau] + 9.3e-10 * cos[1.83776226489 + 103242.23401420339 * tau] + 1.23e-9 * cos[1.51066137419 + 79373.08797681599 * tau] + 1.14e-9 * cos[5.6223246077 + 27043.5028831828 * tau] + 1.43e-9 * cos[5.71074961492 + 21535.9496445154 * tau] + 1.86e-9 * cos[5.05207772442 + 77154.33087262919 * tau] + 2.32e-9 * cos[4.22847849119 + 31749.2351907264 * tau] + 2.35e-9 * cos[3.14549432371 + 51116.4243529592 * tau] + 2.84e-9 * cos[4.25874901943 + 286966.93455731616 * tau] + 3.06e-9 * cos[5.03912693671 + 24978.5245894808 * tau] + 3.01e-9 * cos[1.9609892443 + 51066.427731055 * tau] + 6.41e-9 * cos[4.87358642253 + 53285.1848352418 * tau] + 8.52e-9 * cos[1.22749255198 + 260879.03141574195 * tau] + 1.739e-8 * cos[1.830800396 + 27197.2816936676 * tau] + 2.479e-8 * cos[4.47495202955 + 234791.12827416777 * tau] + 6.927e-8 * cos[1.4340488893 + 208703.22513259358 * tau] + 1.8316e-7 * cos[4.66904655377 + 182615.32199101939 * tau] + 4.4692e-7 * cos[1.60758267772 + 156527.41884944518 * tau] + 9.6300e-7 * cos[4.80023692017 + 130439.51570787099 * tau] + 0.0000017028 * cos[1.62255638714 + 104351.61256629678 * tau] + 0.00000266213 * cos[4.43418336532 + 78263.70942472259 * tau] + 0.00001044801 * cos[1.21216540536 + 52175.8062831484 * tau] + 0.00001913516 * cos[0.0 + 0.0 * tau] + 0.00011830934 * cos[4.79065585784 + 26087.9031415742 * tau]; B3 = 1e-11 * cos[2.44816565966 + 26084.0218062162 * tau] + 1e-11 * cos[4.87981157471 + 10213.285546211 * tau] + 1e-11 * cos[5.64455351094 + 365230.64398203876 * tau] + 1e-11 * cos[3.81913361795 + 26091.7844769322 * tau] + 1e-11 * cos[5.78167324673 + 26107.57290247399 * tau] + 1e-11 * cos[0.60289607514 + 26068.2333806744 * tau] + 1e-11 * cos[3.7357912717 + 24498.8302462904 * tau] + 1e-11 * cos[5.39398540975 + 32858.61374281979 * tau] + 1e-11 * cos[3.67689055309 + 4551.9534970588 * tau] + 1e-11 * cos[2.7660997227 + 28306.66024576099 * tau] + 1e-11 * cos[0.36358097174 + 22645.32819660879 * tau] + 1e-11 * cos[1.39436798574 + 51646.11531805379 * tau] + 1e-11 * cos[1.05410669937 + 1589.0728952838 * tau] + 1e-11 * cos[3.81958470276 + 53131.406024757 * tau] + 1e-11 * cos[5.8492163243 + 5661.3320491522 * tau] + 1e-11 * cos[2.53223701416 + 46514.4742339962 * tau] + 1e-11 * cos[2.144942913 + 79373.08797681599 * tau] + 2e-11 * cos[3.97317842825 + 25132.3033999656 * tau] + 1e-11 * cos[1.85116662745 + 37410.5672398786 * tau] + 2e-11 * cos[5.85039338716 + 1059.3819301892 * tau] + 2e-11 * cos[4.80841415889 + 25028.521211385 * tau] + 2e-11 * cos[5.00344393497 + 20426.571092422 * tau] + 1e-11 * cos[4.93247555987 + 25558.2121764796 * tau] + 1e-11 * cos[2.64641192612 + 57837.1383323006 * tau] + 1e-11 * cos[3.3368854909 + 129330.13715577759 * tau] + 2e-11 * cos[4.70766241226 + 51066.427731055 * tau] + 2e-11 * cos[3.61692083154 + 50586.73338786459 * tau] + 2e-11 * cos[0.74986942696 + 47623.8527860896 * tau] + 2e-11 * cos[1.8230939704 + 1109.3785520934 * tau] + 2e-11 * cos[2.57068697582 + 339142.74084046457 * tau] + 4e-11 * cos[0.82832725003 + 21535.9496445154 * tau] + 3e-11 * cos[0.79794705473 + 27043.5028831828 * tau] + 3e-11 * cos[0.26522113546 + 103242.23401420339 * tau] + 4e-11 * cos[3.36833718999 + 77154.33087262919 * tau] + 4e-11 * cos[4.67212195693 + 51116.4243529592 * tau] + 6e-11 * cos[5.81555175073 + 31749.2351907264 * tau] + 8e-11 * cos[5.79551081392 + 313054.83769889036 * tau] + 1.2e-10 * cos[6.24116133415 + 53285.1848352418 * tau] + 1.7e-10 * cos[0.77798463435 + 24978.5245894808 * tau] + 2.3e-10 * cos[2.74287679452 + 286966.93455731616 * tau] + 5.4e-10 * cos[3.31612529961 + 27197.2816936676 * tau] + 6.2e-10 * cos[5.97292432097 + 260879.03141574195 * tau] + 1.59e-9 * cos[2.9243737832 + 234791.12827416777 * tau] + 3.84e-9 * cos[6.14815319932 + 208703.22513259358 * tau] + 8.57e-9 * cos[3.07673166705 + 182615.32199101939 * tau] + 1.732e-8 * cos[6.26642412058 + 156527.41884944518 * tau] + 3.061e-8 * cos[3.12497552681 + 130439.51570787099 * tau] + 4.580e-8 * cos[6.14257817571 + 104351.61256629678 * tau] + 6.376e-8 * cos[2.50715381439 + 78263.70942472259 * tau] + 1.8904e-7 * cos[4.36275460261 + 52175.8062831484 * tau] + 0.00000160537 * cos[0.0 + 0.0 * tau] + 0.00000235423 * cos[0.35387524604 + 26087.9031415742 * tau]; B4 = 1e-11 * cos[1.16082903756 + 286966.93455731616 * tau] + 1e-11 * cos[4.69096566687 + 27197.2816936676 * tau] + 3e-11 * cos[4.40269422669 + 260879.03141574195 * tau] + 8e-11 * cos[1.34684622635 + 234791.12827416777 * tau] + 1.6e-10 * cos[4.56372679459 + 208703.22513259358 * tau] + 3.1e-10 * cos[1.44226942756 + 182615.32199101939 * tau] + 5.1e-10 * cos[4.54581086194 + 156527.41884944518 * tau] + 7.3e-10 * cos[1.18210375402 + 130439.51570787099 * tau] + 1.16e-9 * cos[3.75237354024 + 104351.61256629678 * tau] + 2.57e-9 * cos[0.20643590425 + 78263.70942472259 * tau] + 4.25e-9 * cos[4.03419509143 + 52175.8062831484 * tau] + 1.023e-8 * cos[3.14159265359 + 0.0 * tau] + 4.276e-8 * cos[1.74579932115 + 26087.9031415742 * tau]; B5 = 1e-11 * cos[6.00841870284 + 182615.32199101939 * tau] + 1e-11 * cos[2.68052517331 + 156527.41884944518 * tau] + 2e-11 * cos[5.43162058632 + 130439.51570787099 * tau] + 4e-11 * cos[2.05662545278 + 104351.61256629678 * tau] + 7e-11 * cos[4.99717136857 + 78263.70942472259 * tau] + 2.2e-10 * cos[1.30514874546 + 52175.8062831484 * tau] + 7.5e-10 * cos[3.14159265359 + 0.0 * tau] + 1.06e-9 * cos[3.94555784256 + 26087.9031415742 * tau]; R0 = 1e-11 * cos[4.33602746737 + 4601.950118963 * tau] + 2e-11 * cos[3.05277164813 + 225.8292684102 * tau] + 2e-11 * cos[3.91669753023 + 76352.50994150538 * tau] + 1e-11 * cos[0.71806518278 + 28928.40404660019 * tau] + 2e-11 * cos[0.62470424533 + 51745.27593900929 * tau] + 2e-11 * cos[0.1124953909 + 38469.94917006779 * tau] + 1e-11 * cos[3.57619837497 + 209658.82487420218 * tau] + 2e-11 * cos[5.02281046549 + 422.6660376129 * tau] + 1e-11 * cos[5.61994219678 + 50690.51557644519 * tau] + 2e-11 * cos[1.03965665113 + 1802.3719907218 * tau] + 2e-11 * cos[6.22578827437 + 74935.57376844239 * tau] + 1e-11 * cos[4.93638931294 + 27993.3679065146 * tau] + 2e-11 * cos[5.62955025847 + 21819.80896338059 * tau] + 2e-11 * cos[5.97867896248 + 164721.69418265378 * tau] + 1e-11 * cos[0.77799418557 + 299398.97720771392 * tau] + 2e-11 * cos[0.63110575282 + 415.5524906121 * tau] + 2e-11 * cos[4.94589808424 + 168959.46149984296 * tau] + 1e-11 * cos[0.17722772219 + 158438.61833266239 * tau] + 2e-11 * cos[2.97464643769 + 31219.5442256318 * tau] + 2e-11 * cos[0.75306774592 + 235746.72801577636 * tau] + 2e-11 * cos[1.25528265056 + 50912.6489205702 * tau] + 2e-11 * cos[2.47809526116 + 179966.86716554638 * tau] + 2e-11 * cos[4.05996888958 + 24502.76239955349 * tau] + 2e-11 * cos[2.55420547959 + 76064.62208143558 * tau] + 2e-11 * cos[5.18613735503 + 50600.9604818662 * tau] + 2e-11 * cos[1.63153524958 + 99979.73619952259 * tau] + 2e-11 * cos[5.3787850016 + 77622.29586298359 * tau] + 2e-11 * cos[5.83454304626 + 2974.609954611 * tau] + 2e-11 * cos[3.79260774499 + 3308.4658953804 * tau] + 2e-11 * cos[4.66022680664 + 247223.17092456557 * tau] + 2e-11 * cos[2.4137136239 + 54862.5283776896 * tau] + 2e-11 * cos[0.11737800376 + 146505.58156934578 * tau] + 2e-11 * cos[4.44247371827 + 148532.89040742096 * tau] + 2e-11 * cos[2.52315832958 + 210614.42461581076 * tau] + 2e-11 * cos[3.24222429199 + 21509.65132471559 * tau] + 2e-11 * cos[4.28354458896 + 24484.60315228879 * tau] + 2e-11 * cos[0.05687800902 + 26034.8069892598 * tau] + 2e-11 * cos[4.11559657607 + 123554.36581794015 * tau] + 2e-11 * cos[3.07002924674 + 23432.33476910039 * tau] + 2e-11 * cos[2.84194927894 + 78249.48233072099 * tau] + 2e-11 * cos[4.57268426145 + 158116.49174472898 * tau] + 2e-11 * cos[1.67350036401 + 66826.60603773296 * tau] + 2e-11 * cos[0.08977124652 + 25135.8265183146 * tau] + 2e-11 * cos[2.07561943546 + 53654.67285721279 * tau] + 2e-11 * cos[2.52858429504 + 26140.99929388859 * tau] + 2e-11 * cos[4.39545799671 + 41520.8540663828 * tau] + 2e-11 * cos[2.016713014 + 46564.4708559004 * tau] + 2e-11 * cos[3.22142261212 + 104771.09721017198 * tau] + 2e-11 * cos[0.91928644358 + 52186.8519834123 * tau] + 2e-11 * cos[0.73324052336 + 25757.28417791599 * tau] + 2e-11 * cos[6.08199781417 + 18043.37807764579 * tau] + 2e-11 * cos[4.75957265478 + 52336.2136525332 * tau] + 2e-11 * cos[5.53948896377 + 87253.17713015496 * tau] + 2e-11 * cos[2.30493903824 + 27883.16158529519 * tau] + 2e-11 * cos[5.15491529148 + 78112.66175487968 * tau] + 2e-11 * cos[4.42185841709 + 93696.66034953119 * tau] + 2e-11 * cos[5.69226787602 + 51040.1294112552 * tau] + 2e-11 * cos[5.78749542412 + 78373.91574594198 * tau] + 2e-11 * cos[5.88236623932 + 52072.0240945678 * tau] + 2e-11 * cos[0.54252133289 + 3.881335358 * tau] + 2e-11 * cos[5.41199778568 + 23704.71012679799 * tau] + 2e-11 * cos[4.28957020884 + 71378.55953479178 * tau] + 2e-11 * cos[2.39356701559 + 242985.40360737636 * tau] + 2e-11 * cos[2.29291278322 + 27410.5807891056 * tau] + 2e-11 * cos[2.21513587213 + 25675.5320446998 * tau] + 2e-11 * cos[0.29430089395 + 24765.2254940428 * tau] + 2e-11 * cos[2.06311358499 + 23233.262767664 * tau] + 2e-11 * cos[4.51719783127 + 21067.98465416099 * tau] + 2e-11 * cos[2.40589345998 + 77929.85348395319 * tau] + 2e-11 * cos[6.20773606719 + 49.9966219042 * tau] + 2e-11 * cos[5.81356382744 + 51538.81001112419 * tau] + 2e-11 * cos[3.83480132336 + 307.5576209696 * tau] + 2e-11 * cos[0.37032643194 + 26500.27423844859 * tau] + 2e-11 * cos[1.99872081555 + 24932.54198416719 * tau] + 2e-11 * cos[1.97399498955 + 430.5303441391 * tau] + 2e-11 * cos[4.53722544295 + 52355.883413433 * tau] + 2e-11 * cos[2.9494161028 + 22065.64060961 * tau] + 2e-11 * cos[4.26819419359 + 90989.16285949759 * tau] + 2e-11 * cos[0.19431714321 + 55484.27217852879 * tau] + 2e-11 * cos[6.10258403438 + 78115.63070029629 * tau] + 2e-11 * cos[3.06252327958 + 57369.17334194619 * tau] + 2e-11 * cos[3.98649649262 + 24808.1085689462 * tau] + 2e-11 * cos[4.02135788869 + 26238.95081141709 * tau] + 2e-11 * cos[5.98697403459 + 283524.35961235073 * tau] + 2e-11 * cos[0.84740706727 + 24494.89809302729 * tau] + 3e-11 * cos[4.58782698256 + 156954.01704032118 * tau] + 2e-11 * cos[1.06567957268 + 21562.2479643152 * tau] + 2e-11 * cos[1.93881159123 + 78697.42116259939 * tau] + 2e-11 * cos[1.77509184801 + 22595.33157470459 * tau] + 2e-11 * cos[1.64612572499 + 40738.70289615879 * tau] + 2e-11 * cos[2.0068296723 + 28786.3545889514 * tau] + 2e-11 * cos[0.03956368481 + 24189.5519236346 * tau] + 2e-11 * cos[0.35872697789 + 25462.2329492618 * tau] + 2e-11 * cos[2.54426644231 + 249268.47945736776 * tau] + 2e-11 * cos[0.35795159068 + 104301.61594439259 * tau] + 2e-11 * cos[0.02213914405 + 197092.67317421938 * tau] + 2e-11 * cos[0.47605198546 + 107692.22499299659 * tau] + 2e-11 * cos[4.16512398869 + 24864.08530079559 * tau] + 2e-11 * cos[3.49827019018 + 78905.12298646157 * tau] + 2e-11 * cos[0.99415397716 + 2064.978293702 * tau] + 2e-11 * cos[3.94570007959 + 225687.22128005016 * tau] + 2e-11 * cos[0.301390155 + 50951.98844236979 * tau] + 2e-11 * cos[3.79747475767 + 65851.33653522459 * tau] + 2e-11 * cos[4.57189351312 + 26926.87242932459 * tau] + 2e-11 * cos[0.58359043648 + 156377.85565231058 * tau] + 2e-11 * cos[0.21025125051 + 18227.483749135 * tau] + 2e-11 * cos[4.55891488212 + 2324.9494088156 * tau] + 2e-11 * cos[4.50940380454 + 65538.25598994759 * tau] + 2e-11 * cos[1.33626564472 + 196156.74319351057 * tau] + 3e-11 * cos[5.06877735444 + 440.8252848776 * tau] + 2e-11 * cos[1.90098213386 + 20272.7922819372 * tau] + 3e-11 * cos[5.00145362139 + 180496.55813064099 * tau] + 3e-11 * cos[3.06893058902 + 230239.17477710896 * tau] + 2e-11 * cos[1.17069889009 + 53551.5800829942 * tau] + 3e-11 * cos[1.68453793975 + 2703.6161546756 * tau] + 2e-11 * cos[0.16253031708 + 23113.2931869632 * tau] + 2e-11 * cos[2.48055036253 + 25543.985082478 * tau] + 3e-11 * cos[5.47127542511 + 27388.72995977919 * tau] + 2e-11 * cos[0.17868115875 + 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3e-11 * cos[0.18439316147 + 78597.56536549199 * tau] + 2e-11 * cos[3.69719041336 + 24616.1501145106 * tau] + 3e-11 * cos[4.83245208446 + 156523.53751408719 * tau] + 3e-11 * cos[5.76323456196 + 49976.71893986139 * tau] + 3e-11 * cos[3.00732745961 + 24705.01579472759 * tau] + 3e-11 * cos[4.94963823249 + 49637.55777889479 * tau] + 3e-11 * cos[1.17691552034 + 52145.47942214399 * tau] + 3e-11 * cos[1.1897797117 + 143164.96914264598 * tau] + 3e-11 * cos[0.73100534966 + 35679.44488694599 * tau] + 3e-11 * cos[4.20183911478 + 149642.26895951436 * tau] + 3e-11 * cos[2.49492450438 + 636.9962720242 * tau] + 3e-11 * cos[0.28015371448 + 169093.57054942798 * tau] + 3e-11 * cos[4.34295741397 + 16964.3263865568 * tau] + 3e-11 * cos[4.13978656372 + 33917.99567300899 * tau] + 3e-11 * cos[2.53461972944 + 51861.62010327879 * tau] + 3e-11 * cos[5.21326346293 + 1639.069517188 * tau] + 3e-11 * cos[0.23823986548 + 24510.5595991264 * tau] + 3e-11 * cos[1.43273740893 + 24719.24288872919 * tau] + 3e-11 * cos[3.9487029151 + 155475.15046625677 * tau] + 3e-11 * cos[2.05553254051 + 176332.24614102798 * tau] + 3e-11 * cos[1.0019131214 + 155460.92337225519 * tau] + 3e-11 * cos[4.53866780815 + 28908.7342857004 * tau] + 3e-11 * cos[4.65503825059 + 104874.18998439058 * tau] + 3e-11 * cos[2.07639441349 + 24072.23205541439 * tau] + 3e-11 * cos[4.58024970278 + 34102.10134449819 * tau] + 3e-11 * cos[5.30037747699 + 51554.06248230919 * tau] + 3e-11 * cos[4.22351187737 + 67608.75720795698 * tau] + 3e-11 * cos[3.12135348664 + 162810.49469943657 * tau] + 3e-11 * cos[0.61479556097 + 171292.65789271498 * tau] + 3e-11 * cos[5.22182880098 + 3462.2447058652 * tau] + 3e-11 * cos[3.80268685478 + 25384.26995695679 * tau] + 3e-11 * cos[5.54498269246 + 61921.12683900499 * tau] + 3e-11 * cos[4.23656246406 + 76358.24465978218 * tau] + 3e-11 * cos[2.08343776186 + 50476.52706664519 * tau] + 4e-11 * cos[1.37420794262 + 128857.55635958798 * tau] + 3e-11 * cos[4.47916732925 + 38634.3850806572 * tau] + 3e-11 * cos[0.07928565452 + 104241.40624507738 * tau] + 3e-11 * cos[1.34477523795 + 1169.5882514086 * tau] + 3e-11 * cos[5.26339958526 + 289185.69166150296 * tau] + 3e-11 * cos[3.77660990144 + 24787.0763233692 * tau] + 3e-11 * cos[1.88640533644 + 27353.47062020059 * tau] + 3e-11 * cos[0.1294237828 + 203375.74902421077 * tau] + 3e-11 * cos[0.87901414893 + 1699.2792165032 * tau] + 3e-11 * cos[5.29083364884 + 2751.5475996916 * tau] + 3e-11 * cos[2.88816579373 + 27360.58416720139 * tau] + 3e-11 * cos[0.31852065143 + 28632.5757784666 * tau] + 3e-11 * cos[6.10137777265 + 52164.76058288449 * tau] + 3e-11 * cos[6.20945940475 + 50160.82461135059 * tau] + 3e-11 * cos[0.91166163253 + 76468.45098100159 * tau] + 3e-11 * cos[4.20767161544 + 128843.32926558638 * tau] + 4e-11 * cos[3.71365034796 + 29580.4747084438 * tau] + 3e-11 * cos[4.74630310296 + 54879.422437824 * tau] + 3e-11 * cos[1.86795145608 + 126067.63934109679 * tau] + 3e-11 * cos[2.96711706073 + 25984.1209529936 * tau] + 3e-11 * cos[1.97431548371 + 104426.39416486409 * tau] + 3e-11 * cos[1.71064218785 + 170068.84005193636 * tau] + 3e-11 * cos[2.10941795435 + 60170.3347251726 * tau] + 3e-11 * cos[1.5028298198 + 4371.8763667742 * tau] + 3e-11 * cos[5.50683793531 + 25928.601406782 * tau] + 4e-11 * cos[2.92372103776 + 104358.2411251968 * tau] + 3e-11 * cos[2.87479269049 + 159855.55450572536 * tau] + 4e-11 * cos[0.94091162922 + 23735.03698780239 * tau] + 3e-11 * cos[3.8669808813 + 56777.7564021114 * tau] + 4e-11 * cos[5.84174581609 + 25650.2592504343 * tau] + 3e-11 * cos[0.83533616968 + 78262.22495201428 * tau] + 4e-11 * cos[3.72190941745 + 51257.8759971666 * tau] + 4e-11 * cos[1.02413610685 + 25991.92391435639 * tau] + 4e-11 * cos[2.04162116492 + 27623.8798845436 * tau] + 4e-11 * cos[3.64314833794 + 860.3099287528 * tau] + 3e-11 * cos[2.94612910423 + 27039.97976483379 * tau] + 4e-11 * cos[1.93735592711 + 26603.3670126672 * tau] + 3e-11 * cos[2.26429696537 + 27047.0260015318 * tau] + 3e-11 * cos[5.4517602882 + 26061.60482177439 * tau] + 3e-11 * cos[4.45999574391 + 127098.90328117118 * tau] + 3e-11 * cos[6.08303870194 + 53399.624123927 * tau] + 3e-11 * cos[1.93788940079 + 45455.092303807 * tau] + 3e-11 * cos[4.32590129932 + 52400.1510788503 * tau] + 3e-11 * cos[5.94935193305 + 6751.0408403458 * tau] + 3e-11 * cos[3.54974279869 + 23401.181047033 * tau] + 3e-11 * cos[4.0696522735 + 32808.6171209156 * tau] + 4e-11 * cos[1.45941637429 + 1073.6090241908 * tau] + 3e-11 * cos[2.40811934972 + 76998.14194609619 * tau] + 3e-11 * cos[4.62237776277 + 21716.0267748 * tau] + 4e-11 * cos[4.67601599622 + 18073.7049386502 * tau] + 3e-11 * cos[2.07685199898 + 3.9321532631 * tau] + 3e-11 * cos[4.65504051632 + 25896.4548754626 * tau] + 3e-11 * cos[0.57378510632 + 154194.22245657316 * tau] + 3e-11 * cos[6.10322230645 + 48091.817776444 * tau] + 3e-11 * cos[4.85884222947 + 1063.3140834523 * tau] + 4e-11 * cos[2.7106584473 + 107679.74822257696 * tau] + 4e-11 * cos[5.53731910534 + 52098.05573916449 * tau] + 3e-11 * cos[0.77055249403 + 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tau] + 4e-11 * cos[3.7891019345 + 25970.58327335399 * tau] + 4e-11 * cos[1.83119228357 + 132028.58860315479 * tau] + 4e-11 * cos[1.22491945176 + 25927.49577218939 * tau] + 3e-11 * cos[0.55626990901 + 130005.80396999417 * tau] + 3e-11 * cos[0.19039417498 + 50290.905119731 * tau] + 3e-11 * cos[5.47155908699 + 149846.19399604558 * tau] + 3e-11 * cos[5.33733887891 + 52309.9153327334 * tau] + 4e-11 * cos[5.59378669038 + 51315.49635439559 * tau] + 4e-11 * cos[5.6042082933 + 156520.30530244438 * tau] + 4e-11 * cos[2.97133561512 + 30110.1656735384 * tau] + 3e-11 * cos[4.05641745083 + 104248.51979207818 * tau] + 5e-11 * cos[3.1167545854 + 26149.62911631439 * tau] + 4e-11 * cos[0.77257538538 + 79994.83177765518 * tau] + 4e-11 * cos[1.56118199279 + 1055.4497769261 * tau] + 4e-11 * cos[4.93160467297 + 391318.54712361297 * tau] + 3e-11 * cos[2.4744892731 + 77956.15180375299 * tau] + 4e-11 * cos[3.82967402925 + 104454.70534051539 * tau] + 3e-11 * cos[4.58555781046 + 57503.2823915312 * tau] + 4e-11 * cos[0.76897521016 + 23384.2869868986 * tau] + 3e-11 * cos[3.76311835707 + 77.7505439839 * tau] + 4e-11 * cos[3.85651603357 + 26513.8119180882 * tau] + 4e-11 * cos[0.82472101949 + 30689.8532605372 * tau] + 4e-11 * cos[2.2106835847 + 76777.72930365738 * tau] + 3e-11 * cos[3.12711312875 + 80462.79676800959 * tau] + 5e-11 * cos[6.11073147567 + 156507.74908854539 * tau] + 5e-11 * cos[0.91157457367 + 25665.23710396129 * tau] + 4e-11 * cos[1.55115346866 + 53438.96364572659 * tau] + 4e-11 * cos[5.61140287619 + 53258.88651544199 * tau] + 4e-11 * cos[0.72729563393 + 25865.04281858059 * tau] + 4e-11 * cos[1.65179392234 + 51006.21803173979 * tau] + 4e-11 * cos[3.77568584773 + 14.2270940016 * tau] + 4e-11 * cos[2.20022040184 + 52073.84376488279 * tau] + 4e-11 * cos[4.27251739299 + 104991.50985261079 * tau] + 4e-11 * cos[3.47489986602 + 26114.201461374 * tau] + 4e-11 * cos[1.00432915295 + 149288.74325784518 * tau] + 4e-11 * cos[3.12567603415 + 20894.5360827764 * tau] + 4e-11 * cos[2.62752187758 + 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59414.4818747484 * tau] + 8.28e-9 * cos[2.88184821542 + 19406.6782881746 * tau] + 6.68e-9 * cos[3.73113394924 + 46848.3301747656 * tau] + 7.34e-9 * cos[0.8924366949 + 103821.92160120218 * tau] + 7.73e-9 * cos[2.67893222158 + 131548.89425996438 * tau] + 9.52e-9 * cos[2.53604676495 + 29530.4780865396 * tau] + 9.65e-9 * cos[4.70784179954 + 51535.90899683439 * tau] + 7.97e-9 * cos[0.26237215917 + 98690.28051714458 * tau] + 7.72e-9 * cos[4.08714349549 + 94138.32702008578 * tau] + 7.83e-9 * cos[3.69782403005 + 78793.40038981718 * tau] + 8.74e-9 * cos[4.53679970936 + 639.897286314 * tau] + 8.53e-9 * cos[0.56334001923 + 20760.4270331914 * tau] + 9.79e-9 * cos[2.43870419667 + 71980.63357473118 * tau] + 1.105e-8 * cos[4.55512109515 + 26011.6370702986 * tau] + 1.041e-8 * cos[2.78036322434 + 213.299095438 * tau] + 1.005e-8 * cos[1.0589831486 + 129380.13377768178 * tau] + 1.160e-8 * cos[1.73113341823 + 38519.945791972 * tau] + 1.249e-8 * cos[1.97225274067 + 91785.46086631398 * tau] + 1.552e-8 * cos[2.83910580545 + 103242.23401420339 * tau] + 1.640e-8 * cos[4.66281337712 + 25021.4076643842 * tau] + 1.563e-8 * cos[5.84795233948 + 26095.016688575 * tau] + 1.436e-8 * cos[0.05742216761 + 23869.1460373874 * tau] + 1.389e-8 * cos[4.85102048256 + 62389.09182935939 * tau] + 1.743e-8 * cos[0.68269002122 + 77837.11123384659 * tau] + 1.614e-8 * cos[1.27565104562 + 25035.6347583858 * tau] + 1.533e-8 * cos[1.54503054415 + 955.5997416086 * tau] + 1.525e-8 * cos[2.15720744047 + 27676.976036858 * tau] + 1.780e-8 * cos[0.91702846577 + 79219.30916633119 * tau] + 1.818e-8 * cos[4.20870869718 + 25938.3399444396 * tau] + 2.084e-8 * cos[2.19427123968 + 26301.2022370122 * tau] + 1.657e-8 * cos[4.98021773372 + 9103.9069941176 * tau] + 1.703e-8 * cos[4.28965990785 + 40853.142184844 * tau] + 1.672e-8 * cos[2.15275897581 + 26514.5013324502 * tau] + 1.971e-8 * cos[3.77455887616 + 19317.1925403286 * tau] + 1.750e-8 * cos[5.50651903992 + 56727.7597802072 * tau] + 1.863e-8 * cos[2.26591720786 + 26084.0218062162 * tau] + 1.945e-8 * cos[2.37383894182 + 6770.7106012456 * tau] + 1.873e-8 * cos[0.69327393635 + 26091.7844769322 * tau] + 1.872e-8 * cos[3.93046425037 + 38654.05484155699 * tau] + 2.022e-8 * cos[0.33828477567 + 99799.65906923798 * tau] + 2.526e-8 * cos[0.34535290139 + 23969.1392811958 * tau] + 1.965e-8 * cos[1.37420902653 + 7238.6755916 * tau] + 1.971e-8 * cos[0.4740749431 + 48733.23133818299 * tau] + 2.135e-8 * cos[0.84621449019 + 76674.63652943878 * tau] + 2.557e-8 * cos[2.95114696617 + 26080.78959457339 * tau] + 2.792e-8 * cos[5.05148206806 + 51220.20654153979 * tau] + 2.741e-8 * cos[4.75427920262 + 63498.47038145279 * tau] + 2.274e-8 * cos[0.50173671332 + 32370.9789915656 * tau] + 2.267e-8 * cos[2.17941340037 + 110012.94461544899 * tau] + 2.755e-8 * cos[5.67587087632 + 26107.57290247399 * tau] + 3.044e-8 * cos[5.90613310181 + 105460.99111839019 * tau] + 2.507e-8 * cos[2.23312085627 + 260879.03141574195 * tau] + 2.713e-8 * cos[3.5687491398 + 26068.2333806744 * tau] + 2.746e-8 * cos[4.67880529205 + 53235.18821333759 * tau] + 2.820e-8 * cos[4.62628436074 + 18849.2275499742 * tau] + 3.614e-8 * cos[2.95861599353 + 28306.66024576099 * tau] + 3.054e-8 * cos[4.12578324522 + 77734.01845962799 * tau] + 3.278e-8 * cos[3.13863529552 + 25874.6040461362 * tau] + 3.261e-8 * cos[1.03195890028 + 68050.42387851159 * tau] + 4.120e-8 * cos[1.65386255382 + 25448.00585526019 * tau] + 3.354e-8 * cos[3.49345105494 + 72602.37737557039 * tau] + 3.426e-8 * cos[0.64911736234 + 52705.49724824299 * tau] + 4.428e-8 * cos[5.69109527379 + 45892.73043315699 * tau] + 4.075e-8 * cos[4.29142111073 + 103292.23063610759 * tau] + 4.090e-8 * cos[3.6759365871 + 22645.32819660879 * tau] + 5.186e-8 * cos[3.56743214904 + 6283.0758499914 * tau] + 5.415e-8 * cos[5.20028107807 + 65697.55772473979 * tau] + 6.460e-8 * cos[6.07127449283 + 77154.33087262919 * tau] + 7.653e-8 * cos[3.91505031889 + 51749.20809227239 * tau] + 5.943e-8 * cos[4.06893157254 + 53131.406024757 * tau] + 6.885e-8 * cos[5.3110852663 + 1589.0728952838 * tau] + 8.853e-8 * cos[3.87737694074 + 50586.73338786459 * tau] + 6.560e-8 * cos[4.27818149213 + 43071.8992890308 * tau] + 6.863e-8 * cos[1.82313992707 + 36301.18868778519 * tau] + 7.109e-8 * cos[5.32625264624 + 426.598190876 * tau] + 8.492e-8 * cos[3.56622930635 + 73711.75592766379 * tau] + 7.215e-8 * cos[1.17101960691 + 16983.9961474566 * tau] + 7.463e-8 * cos[5.53233943198 + 32858.61374281979 * tau] + 7.499e-8 * cos[2.44636811119 + 30639.856638633 * tau] + 9.379e-8 * cos[5.41195286503 + 83925.04147387479 * tau] + 9.491e-8 * cos[0.83697007534 + 12566.1516999828 * tau] + 9.069e-8 * cos[1.21263611811 + 14765.2390432698 * tau] + 1.2069e-7 * cos[2.84997619452 + 79373.08797681599 * tau] + 1.2754e-7 * cos[2.07613721222 + 529.6909650946 * tau] + 1.0612e-7 * cos[5.46555460932 + 234791.12827416777 * tau] + 1.1933e-7 * cos[2.36500939134 + 4551.9534970588 * tau] + 1.6297e-7 * cos[2.63293587817 + 19804.8272915828 * tau] + 1.3938e-7 * cos[1.99984876578 + 25132.3033999656 * tau] + 1.2794e-7 * cos[6.06437138766 + 1109.3785520934 * tau] + 1.3977e-7 * cos[4.77056848793 + 33326.5787331742 * tau] + 1.5012e-7 * cos[4.28173463507 + 41962.5207369374 * tau] + 1.3382e-7 * cos[1.07657890477 + 51646.11531805379 * tau] + 1.3940e-7 * cos[1.62573946865 + 27147.28507176339 * tau] + 1.7087e-7 * cos[1.24077764194 + 77204.32749453338 * tau] + 1.5109e-7 * cos[0.44510589948 + 46514.4742339962 * tau] + 1.6941e-7 * cos[3.88765393402 + 26617.5941066688 * tau] + 1.9422e-7 * cos[4.98378647655 + 10213.285546211 * tau] + 2.1270e-7 * cos[5.36857139841 + 13521.7514415914 * tau] + 1.8699e-7 * cos[4.96496008403 + 11322.6640983044 * tau] + 2.6105e-7 * cos[2.15021963174 + 39609.6545831656 * tau] + 3.0903e-7 * cos[0.88366335532 + 24498.8302462904 * tau] + 2.8417e-7 * cos[3.02063625668 + 51066.427731055 * tau] + 3.0092e-7 * cos[1.79500530627 + 37410.5672398786 * tau] + 3.7203e-7 * cos[0.5173382147 + 47623.8527860896 * tau] + 3.3873e-7 * cos[0.86381554651 + 25661.3049506982 * tau] + 4.4234e-7 * cos[1.21957314874 + 15874.6175953632 * tau] + 4.0815e-7 * cos[2.35882016415 + 57837.1383323006 * tau] + 3.5224e-7 * cos[1.05917802674 + 27043.5028831828 * tau] + 4.5748e-7 * cos[2.41480951648 + 208703.22513259358 * tau] + 4.8266e-7 * cos[6.06824478778 + 53285.1848352418 * tau] + 7.5500e-7 * cos[4.47428642962 + 51116.4243529592 * tau] + 6.6754e-7 * cos[2.52520309182 + 5661.3320491522 * tau] + 6.2951e-7 * cos[4.76588899933 + 1059.3819301892 * tau] + 6.3277e-7 * cos[4.29905918105 + 25558.2121764796 * tau] + 7.7561e-7 * cos[3.66972526976 + 20426.571092422 * tau] + 0.00000100144 * cos[3.73435608689 + 21535.9496445154 * tau] + 0.0000014198 * cos[6.25264202645 + 24978.5245894808 * tau] + 0.00000201499 * cos[5.59227724202 + 31749.2351907264 * tau] + 0.00000201855 * cos[5.6472504035 + 182615.32199101939 * tau] + 0.00000289955 * cos[1.42441936951 + 25028.521211385 * tau] + 0.00000260033 * cos[3.02817753482 + 27197.2816936676 * tau] + 0.00000918228 * cos[2.59650562598 + 156527.41884944518 * tau] + 0.00004354065 * cos[5.82894543257 + 130439.51570787099 * tau] + 0.00021921969 * cos[2.77820093975 + 104351.61256629678 * tau] + 0.00121281763 * cos[6.01064153805 + 78263.70942472259 * tau] + 0.00795525557 * cos[2.95989690096 + 52175.8062831484 * tau] + 0.07834131817 * cos[6.19233722599 + 26087.9031415742 * tau] + 0.39528271652 * cos[0.0 + 0.0 * tau]; R1 = 1e-11 * cos[6.10538330268 + 181659.72224941078 * tau] + 1e-11 * cos[4.92352598929 + 51596.1186961496 * tau] + 1e-11 * cos[5.60579347269 + 153084.84390447979 * tau] + 1e-11 * cos[5.50068575093 + 27819.0254945068 * tau] + 1e-11 * cos[5.10858625008 + 107679.74822257696 * tau] + 1e-11 * cos[5.07507945312 + 54824.2611086214 * tau] + 1e-11 * cos[0.55411127132 + 42790.9652750732 * tau] + 1e-11 * cos[1.44184009822 + 112545.88789950538 * tau] + 1e-11 * cos[2.2942790431 + 1485.9801210652 * tau] + 1e-11 * cos[0.63301837081 + 51439.92976961659 * tau] + 1e-11 * cos[6.16564988887 + 199599.31813847595 * tau] + 1e-11 * cos[1.79348974875 + 183145.01295611398 * tau] + 1e-11 * cos[0.0173753133 + 103814.80805420138 * tau] + 1e-11 * cos[3.68051221186 + 2703.6161546756 * tau] + 1e-11 * cos[4.89753750946 + 53265.515074342 * tau] + 1e-11 * cos[5.68864830775 + 3178.1457905676 * tau] + 1e-11 * cos[5.1982979368 + 142871.55835826878 * tau] + 1e-11 * cos[4.48187053152 + 231348.55332920236 * tau] + 1e-11 * cos[4.60636743786 + 126996.94076290558 * tau] + 1e-11 * cos[0.61515728295 + 78469.89497315978 * tau] + 1e-11 * cos[3.61827980669 + 106262.81204951399 * tau] + 1e-11 * cos[2.86790873835 + 38634.3850806572 * tau] + 1e-11 * cos[0.99962008973 + 163298.12945069079 * tau] + 1e-11 * cos[6.25857682168 + 50800.03248330259 * tau] + 1e-11 * cos[1.18658609813 + 8989.46770543239 * tau] + 1e-11 * cos[2.30344666604 + 50380.54783942739 * tau] + 1e-11 * cos[0.72186155433 + 27005.83342755599 * tau] + 1e-11 * cos[1.62346464256 + 128106.31931499895 * tau] + 1e-11 * cos[4.60745432488 + 156507.74908854539 * tau] + 1e-11 * cos[3.54450921353 + 78338.49102328988 * tau] + 1e-11 * cos[1.86269361791 + 45494.58142974879 * tau] + 1e-11 * cos[5.23954201903 + 99024.13645791399 * tau] + 1e-11 * cos[0.82072277702 + 51329.7234483972 * tau] + 1e-11 * cos[2.31427972623 + 179172.74704605396 * tau] + 1e-11 * cos[6.19695864555 + 241561.83887541336 * tau] + 1e-11 * cos[2.84174115238 + 168959.46149984296 * tau] + 1e-11 * cos[2.97981003623 + 78057.52387628538 * tau] + 1e-11 * cos[2.73690252229 + 170068.84005193636 * tau] + 1e-11 * cos[0.41026701894 + 636.9962720242 * tau] + 1e-11 * cos[5.6196302566 + 104197.83375581198 * tau] + 1e-11 * cos[0.68629642431 + 26102.1302355758 * tau] + 1e-11 * cos[3.6909155011 + 77307.42026875199 * tau] + 1e-11 * cos[5.0467220846 + 26247.2048763664 * tau] + 1e-11 * cos[3.33069384141 + 19.66976089979 * tau] + 1e-11 * cos[0.26342054765 + 1795.258443721 * tau] + 1e-11 * cos[2.13422641639 + 62197.64356324779 * tau] + 1e-11 * cos[3.82192552665 + 25928.601406782 * tau] + 1e-11 * cos[4.31601888279 + 50483.640613646 * tau] + 1e-11 * cos[0.00464768227 + 196137.07343261078 * tau] + 1e-11 * cos[0.85871789181 + 25985.94062330859 * tau] + 1e-11 * cos[1.50478057782 + 137210.22630911658 * tau] + 1e-11 * cos[3.43578051874 + 51841.950342379 * tau] + 1e-11 * cos[5.98062907857 + 106570.36967048359 * tau] + 1e-11 * cos[0.49331056411 + 104819.57755665119 * tau] + 1e-11 * cos[4.44457464944 + 6044.2285813754 * tau] + 1e-11 * cos[0.20823485438 + 54879.422437824 * tau] + 1e-11 * cos[2.52061585089 + 91919.56991589899 * tau] + 1e-11 * cos[2.3181898578 + 58220.0348645238 * tau] + 2e-11 * cos[2.99230815235 + 91805.13062721379 * tau] + 1e-11 * cos[3.09408892186 + 9384.8410080752 * tau] + 1e-11 * cos[3.49542841313 + 79315.97780791098 * tau] + 1e-11 * cos[5.76246998806 + 1375.7737998458 * tau] + 1e-11 * cos[2.7641982766 + 52812.8025551726 * tau] + 1e-11 * cos[3.67961974137 + 116783.65521669458 * tau] + 1e-11 * cos[4.54379329814 + 203041.89308344138 * tau] + 1e-11 * cos[2.07307900948 + 78188.92782615528 * tau] + 1e-11 * cos[5.83388253183 + 104275.34649502118 * tau] + 2e-11 * cos[0.58716824437 + 52065.59996192899 * tau] + 1e-11 * cos[1.98744571247 + 26411.4085582316 * tau] + 1e-11 * cos[0.74831854153 + 51534.3927214094 * tau] + 1e-11 * cos[0.08732855602 + 103718.82882698359 * tau] + 1e-11 * cos[1.6462517202 + 75930.51303185058 * tau] + 1e-11 * cos[5.78967137689 + 76152.05911134499 * tau] + 1e-11 * cos[1.38681194099 + 467.9649903544 * tau] + 1e-11 * cos[4.8837970192 + 205260.65018762815 * tau] + 1e-11 * cos[5.35146960556 + 1265.5674786264 * tau] + 1e-11 * cos[2.98248327032 + 846.0828347512 * tau] + 2e-11 * cos[3.42836265136 + 65717.22748563958 * tau] + 1e-11 * cos[3.42727473387 + 130435.63437251298 * tau] + 2e-11 * cos[2.61859360479 + 61560.64729122359 * tau] + 1e-11 * cos[1.68473271541 + 28286.9904848612 * tau] + 2e-11 * cos[0.35135879351 + 132028.58860315479 * tau] + 1e-11 * cos[0.62172861766 + 138319.60486120995 * tau] + 1e-11 * cos[0.63238768568 + 130459.18546877075 * tau] + 1e-11 * cos[0.51173156424 + 113341.08027172917 * tau] + 1e-11 * cos[5.62721081889 + 122444.98726584678 * tau] + 2e-11 * cos[1.13879447241 + 61165.27398858079 * tau] + 1e-11 * cos[3.57210475329 + 78786.28684281638 * tau] + 2e-11 * cos[1.98187462633 + 81604.32185142238 * tau] + 1e-11 * cos[0.3312846752 + 76571.54375522019 * tau] + 1e-11 * cos[3.92791860433 + 189386.03259226495 * tau] + 2e-11 * cos[2.89128653047 + 166740.70439565618 * tau] + 2e-11 * cos[4.08809950869 + 25466.159340735 * tau] + 1e-11 * cos[5.5566899571 + 220025.88923089796 * tau] + 1e-11 * cos[3.51165251141 + 26421.7590823436 * tau] + 1e-11 * cos[0.74294839995 + 78896.49316403578 * tau] + 1e-11 * cos[5.486640137 + 22625.658435709 * tau] + 1e-11 * cos[1.80796273878 + 25508.2155545754 * tau] + 2e-11 * cos[2.19277171383 + 103.0927742186 * tau] + 1e-11 * cos[4.48574397522 + 101703.15774082378 * tau] + 2e-11 * cos[4.47232796046 + 130432.40216087017 * tau] + 1e-11 * cos[1.29983905478 + 154194.22245657316 * tau] + 2e-11 * cos[6.17677089224 + 87367.61641884019 * tau] + 2e-11 * cos[1.27464400058 + 144916.86689107098 * tau] + 1e-11 * cos[6.20512620421 + 2333.196392872 * tau] + 2e-11 * cos[4.95650007002 + 24448.8336243862 * tau] + 2e-11 * cos[1.99970840056 + 17098.43543614181 * tau] + 1e-11 * cos[1.61844283111 + 24079.34560241519 * tau] + 2e-11 * cos[4.55507467591 + 132658.27281205778 * tau] + 1e-11 * cos[1.14751201091 + 55503.94193942859 * tau] + 2e-11 * cos[4.60111717878 + 25004.8229092806 * tau] + 2e-11 * cos[0.59313712363 + 74.7815985673 * tau] + 2e-11 * cos[3.12958128871 + 195047.36464141717 * tau] + 1e-11 * cos[4.84627694564 + 27170.98337386779 * tau] + 1e-11 * cos[5.85918351804 + 163766.09444104518 * tau] + 1e-11 * cos[3.75687703582 + 34082.4315835984 * tau] + 2e-11 * cos[1.80661945912 + 860.3099287528 * tau] + 2e-11 * cos[2.41579406356 + 147423.51185532758 * tau] + 2e-11 * cos[2.19163720361 + 26395.46076254379 * tau] + 2e-11 * cos[0.27866926 + 24356.7807886416 * tau] + 2e-11 * cos[1.23355180586 + 52286.01260436779 * tau] + 2e-11 * cos[2.8206637022 + 118828.96374949679 * tau] + 2e-11 * cos[5.00974264854 + 182188.72380014337 * tau] + 2e-11 * cos[2.93563622378 + 137678.19129947099 * tau] + 2e-11 * cos[5.31192385841 + 23384.2869868986 * tau] + 2e-11 * cos[2.50164995664 + 19202.75325164339 * tau] + 2e-11 * cos[4.99966961564 + 78800.51393681798 * tau] + 2e-11 * cos[1.11920130054 + 51315.49635439559 * tau] + 2e-11 * cos[4.77845331095 + 136722.59155786238 * tau] + 2e-11 * cos[3.36946627953 + 26575.53789282839 * tau] + 2e-11 * cos[0.40598906242 + 25773.71696170459 * tau] + 2e-11 * cos[1.99160321093 + 26189.8656598398 * tau] + 2e-11 * cos[5.89586766332 + 26312.2479372761 * tau] + 2e-11 * cos[1.78781584986 + 48847.6706268682 * tau] + 2e-11 * cos[2.00346690661 + 26073.67604757259 * tau] + 2e-11 * cos[1.95076646341 + 143005.66740785378 * tau] + 2e-11 * cos[2.71889214634 + 173511.41499690177 * tau] + 2e-11 * cos[4.55349965747 + 37698.4550999484 * tau] + 2e-11 * cos[5.40842531044 + 95247.70557217918 * tau] + 2e-11 * cos[1.33411828477 + 78257.08086582259 * tau] + 2e-11 * cos[5.32044002117 + 151199.94274106238 * tau] + 2e-11 * cos[1.68048369897 + 27250.37784598199 * tau] + 2e-11 * cos[1.10189365852 + 1223.81784077861 * tau] + 2e-11 * cos[4.33545610317 + 8194.2753332086 * tau] + 2e-11 * cos[6.0760153167 + 141762.17980617538 * tau] + 2e-11 * cos[5.68695965343 + 50264.6067999312 * tau] + 2e-11 * cos[1.88481234244 + 27177.6119327678 * tau] + 2e-11 * cos[5.77714525422 + 25600.26839032 * tau] + 2e-11 * cos[1.58212922198 + 26013.1215430069 * tau] + 2e-11 * cos[5.16106622649 + 26729.31670331319 * tau] + 2e-11 * cos[6.07737780217 + 94329.77528619739 * tau] + 2e-11 * cos[3.37039086197 + 2221.856634597 * tau] + 2e-11 * cos[5.37279792857 + 52278.89905736699 * tau] + 2e-11 * cos[2.5819014903 + 154938.34595416138 * tau] + 2e-11 * cos[1.7649293935 + 92741.06060792258 * tau] + 2e-11 * cos[3.62039658007 + 6885.14988993081 * tau] + 2e-11 * 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tau] + 1.52e-9 * cos[5.07389967152 + 52156.1365222486 * tau] + 1.63e-9 * cos[4.00380715262 + 79373.08797681599 * tau] + 1.74e-9 * cos[5.81264188702 + 68050.42387851159 * tau] + 1.84e-9 * cos[3.74837387583 + 286966.93455731616 * tau] + 2.07e-9 * cos[5.89082708705 + 31749.2351907264 * tau] + 1.89e-9 * cos[0.65681038131 + 110012.94461544899 * tau] + 2.18e-9 * cos[2.11865566044 + 73711.75592766379 * tau] + 1.96e-9 * cos[1.99924288764 + 48733.23133818299 * tau] + 2.05e-9 * cos[3.20844012088 + 18849.2275499742 * tau] + 1.97e-9 * cos[0.80026289238 + 27676.976036858 * tau] + 2.04e-9 * cos[3.44654782597 + 9103.9069941176 * tau] + 2.08e-9 * cos[2.74551899929 + 40853.142184844 * tau] + 2.15e-9 * cos[6.16660008496 + 51646.11531805379 * tau] + 2.35e-9 * cos[2.2405050326 + 25874.6040461362 * tau] + 2.15e-9 * cos[3.97996009773 + 56727.7597802072 * tau] + 2.23e-9 * cos[2.76528831516 + 103292.23063610759 * tau] + 3.32e-9 * cos[3.59235758173 + 51220.20654153979 * tau] + 2.64e-9 * cos[3.93160763696 + 6770.7106012456 * tau] + 3.16e-9 * cos[2.22791434675 + 19317.1925403286 * tau] + 3.26e-9 * cos[1.30033833957 + 103242.23401420339 * tau] + 2.90e-9 * cos[3.04044859601 + 53235.18821333759 * tau] + 3.25e-9 * cos[4.78747749132 + 23869.1460373874 * tau] + 3.40e-9 * cos[0.24111380317 + 26301.2022370122 * tau] + 3.47e-9 * cos[1.39524259509 + 23969.1392811958 * tau] + 3.58e-9 * cos[6.00165335616 + 33326.5787331742 * tau] + 4.53e-9 * cos[0.7280313725 + 529.6909650946 * tau] + 4.18e-9 * cos[2.7752141866 + 41962.5207369374 * tau] + 3.90e-9 * cos[3.81996185881 + 426.598190876 * tau] + 3.79e-9 * cos[1.95647626585 + 72602.37737557039 * tau] + 5.23e-9 * cos[0.06439941262 + 25021.4076643842 * tau] + 4.06e-9 * cos[5.60324652352 + 52705.49724824299 * tau] + 4.87e-9 * cos[4.23950195756 + 26095.016688575 * tau] + 4.43e-9 * cos[3.86758570847 + 26084.0218062162 * tau] + 4.72e-9 * cos[6.00507778421 + 77204.32749453338 * tau] + 4.29e-9 * cos[0.26260280461 + 36301.18868778519 * tau] + 4.36e-9 * cos[5.86659160961 + 25035.6347583858 * tau] + 4.35e-9 * cos[5.79043985706 + 43071.8992890308 * tau] + 5.33e-9 * cos[0.93587795381 + 26107.57290247399 * tau] + 6.06e-9 * cos[4.50215566301 + 28306.66024576099 * tau] + 5.07e-9 * cos[5.55466020276 + 12566.1516999828 * tau] + 5.16e-9 * cos[3.89421000089 + 83925.04147387479 * tau] + 5.72e-9 * cos[0.62751016416 + 13521.7514415914 * tau] + 5.32e-9 * cos[5.21855381213 + 22645.32819660879 * tau] + 5.15e-9 * cos[4.83662922562 + 50586.73338786459 * tau] + 5.72e-9 * cos[3.50125649521 + 10213.285546211 * tau] + 5.97e-9 * cos[4.64867954048 + 26080.78959457339 * tau] + 6.08e-9 * cos[3.65993973133 + 25448.00585526019 * tau] + 5.46e-9 * cos[5.38138962861 + 26091.7844769322 * tau] + 6.08e-9 * cos[0.85708468483 + 4551.9534970588 * tau] + 6.78e-9 * cos[2.0219388593 + 26068.2333806744 * tau] + 6.96e-9 * cos[0.69734796212 + 260879.03141574195 * tau] + 7.07e-9 * cos[0.92992556568 + 30639.856638633 * tau] + 8.63e-9 * cos[5.55308682281 + 25558.2121764796 * tau] + 7.12e-9 * cos[2.70884051645 + 16983.9961474566 * tau] + 7.36e-9 * cos[4.0688529657 + 1589.0728952838 * tau] + 7.42e-9 * cos[0.77751594919 + 32858.61374281979 * tau] + 9.35e-9 * cos[2.37277497611 + 25661.3049506982 * tau] + 8.41e-9 * cos[5.96261035419 + 14765.2390432698 * tau] + 1.177e-8 * cos[4.53194022227 + 77154.33087262919 * tau] + 1.005e-8 * cos[3.28272284427 + 37410.5672398786 * tau] + 1.120e-8 * cos[0.86374628388 + 57837.1383323006 * tau] + 1.271e-8 * cos[0.56437938715 + 25132.3033999656 * tau] + 1.090e-8 * cos[6.23733263925 + 27147.28507176339 * tau] + 1.241e-8 * cos[0.21246226135 + 11322.6640983044 * tau] + 1.295e-8 * cos[5.19094850935 + 46514.4742339962 * tau] + 1.417e-8 * cos[1.37876323533 + 1109.3785520934 * tau] + 1.542e-8 * cos[2.35659537465 + 27043.5028831828 * tau] + 1.546e-8 * cos[2.61849590442 + 26617.5941066688 * tau] + 1.963e-8 * cos[4.04524902962 + 5661.3320491522 * tau] + 2.011e-8 * cos[1.23911360588 + 53285.1848352418 * tau] + 2.498e-8 * cos[2.02623950395 + 24498.8302462904 * tau] + 2.650e-8 * cos[3.92968881423 + 234791.12827416777 * tau] + 3.133e-8 * cos[5.23846336855 + 21535.9496445154 * tau] + 3.510e-8 * cos[3.21171223697 + 1059.3819301892 * tau] + 4.393e-8 * cos[1.48074475165 + 51066.427731055 * tau] + 4.444e-8 * cos[2.13639058123 + 20426.571092422 * tau] + 8.086e-8 * cos[3.0054085489 + 25028.521211385 * tau] + 1.0154e-7 * cos[0.87893548494 + 208703.22513259358 * tau] + 1.7999e-7 * cos[4.7119372581 + 24978.5245894808 * tau] + 1.7760e-7 * cos[4.54424653085 + 27197.2816936676 * tau] + 3.9202e-7 * cos[4.11136751416 + 182615.32199101939 * tau] + 0.00000152851 * cos[1.0606077981 + 156527.41884944518 * tau] + 0.00000603996 * cos[4.29303116561 + 130439.51570787099 * tau] + 0.00001624367 * cos[0.0 + 0.0 * tau] + 0.00002432804 * cos[1.24226083435 + 104351.61256629678 * tau] + 0.00010094479 * cos[4.47466326316 + 78263.70942472259 * tau] + 0.00044141826 * cos[1.42385543975 + 52175.8062831484 * tau] + 0.00217347739 * cos[4.65617158663 + 26087.9031415742 * tau]; R2 = 1e-11 * cos[0.40812953108 + 77844.22478084739 * tau] + 1e-11 * cos[4.47600641528 + 97112.93697469679 * tau] + 1e-11 * cos[0.08695556653 + 26507.38778544939 * tau] + 1e-11 * cos[0.06932929209 + 48847.6706268682 * tau] + 1e-11 * cos[0.12176395772 + 6681.2248533996 * tau] + 1e-11 * cos[3.55161443787 + 116917.76426627958 * tau] + 1e-11 * cos[5.00501348827 + 51639.00177105299 * tau] + 1e-11 * cos[3.25491459524 + 46848.3301747656 * tau] + 1e-11 * cos[0.26591217377 + 89586.37352302698 * tau] + 1e-11 * cos[4.25105785914 + 65831.6667743248 * tau] + 1e-11 * cos[3.0701219029 + 104138.31347085879 * tau] + 1e-11 * cos[4.51335885923 + 12546.481939083 * tau] + 1e-11 * cos[2.42155941603 + 25551.09862947879 * tau] + 1e-11 * cos[0.02851648548 + 213.299095438 * tau] + 1e-11 * cos[4.43589881789 + 53242.3017603384 * tau] + 1e-11 * cos[4.69497491223 + 1581.959348283 * tau] + 1e-11 * cos[0.01631363612 + 25668.418497699 * tau] + 1e-11 * cos[2.02746284465 + 85034.42002596818 * tau] + 1e-11 * cos[3.95087871071 + 119116.85160956658 * tau] + 1e-11 * cos[2.75970257539 + 55503.94193942859 * tau] + 1e-11 * cos[0.3597788856 + 105307.21230790539 * tau] + 1e-11 * cos[3.62974919098 + 130012.91751699499 * tau] + 1e-11 * cos[1.15157832957 + 536.8045120954 * tau] + 1e-11 * cos[3.85620334673 + 26624.70765366959 * tau] + 1e-11 * cos[2.81808749734 + 54509.0026760204 * tau] + 1e-11 * cos[2.08096369099 + 26610.48055966799 * tau] + 1e-11 * cos[5.49001686286 + 7880.08915333899 * tau] + 1e-11 * cos[5.32677211586 + 26137.8997634784 * tau] + 1e-11 * cos[4.38278455115 + 52329.58509363319 * tau] + 1e-11 * cos[6.1402409335 + 3328.13565628019 * tau] + 1e-11 * cos[1.96827343473 + 188276.65404017158 * tau] + 1e-11 * cos[0.5633044687 + 29428.515568274 * tau] + 1e-11 * cos[4.36279289081 + 70269.18098269838 * tau] + 1e-11 * cos[4.99390846744 + 143961.26714946238 * tau] + 1e-11 * cos[1.50606534242 + 50593.84693486539 * tau] + 1e-11 * cos[3.28153684541 + 78149.27013603736 * tau] + 1e-11 * cos[2.40126368211 + 26555.8681319286 * tau] + 1e-11 * cos[1.99169557218 + 105940.68546158058 * tau] + 1e-11 * cos[4.04176416141 + 25565.3257234804 * tau] + 1e-11 * cos[3.3876046343 + 49842.60989027639 * tau] + 1e-11 * cos[5.4428033736 + 52643.7712735028 * tau] + 1e-11 * cos[5.22196769252 + 77623.81213840858 * tau] + 1e-11 * cos[1.57855828108 + 61279.713277266 * tau] + 1e-11 * cos[3.75910629606 + 25619.9381512198 * tau] + 1e-11 * cos[0.74891931364 + 10021.8372800994 * tau] + 1e-11 * cos[5.01041490382 + 25450.90686955 * tau] + 1e-11 * cos[0.82686052448 + 146314.13330323418 * tau] + 1e-11 * cos[0.91206378451 + 77829.99768684579 * tau] + 1e-11 * cos[5.89466975855 + 27311.72098235281 * tau] + 1e-11 * cos[0.91197645609 + 103299.34418310839 * tau] + 1e-11 * cos[5.13679156205 + 104347.73123093879 * tau] + 1e-11 * cos[5.26044215633 + 25934.1243310894 * tau] + 1e-11 * cos[5.17372763616 + 149.5631971346 * tau] + 1e-11 * cos[4.68391610322 + 90695.75207512038 * tau] + 1e-11 * cos[0.55503171074 + 69159.80243060499 * tau] + 1e-11 * cos[5.10769130141 + 58946.51688439399 * tau] + 1e-11 * cos[2.67181600104 + 5327.4761083828 * tau] + 1e-11 * cos[3.74834736873 + 44295.7171298094 * tau] + 1e-11 * cos[0.69459147389 + 90829.86112470538 * tau] + 1e-11 * cos[4.26629771518 + 26724.8994135984 * tau] + 1e-11 * cos[5.02865728622 + 365230.64398203876 * tau] + 1e-11 * cos[2.78122688424 + 157636.79740153858 * tau] + 1e-11 * cos[2.65940437112 + 79219.30916633119 * tau] + 1e-11 * cos[0.99401491673 + 50579.61984086379 * tau] + 1e-11 * cos[3.62572271343 + 51756.3216392732 * tau] + 1e-11 * cos[1.27214241387 + 39743.7636327506 * tau] + 1e-11 * cos[0.84666659977 + 26037.90651966999 * tau] + 1e-11 * cos[5.17191010522 + 1596.1864422846 * tau] + 1e-11 * cos[3.11068504003 + 54294.57014352679 * tau] + 1e-11 * cos[5.71167880995 + 78378.14871340781 * tau] + 1e-11 * cos[3.76488909896 + 51749.20809227239 * tau] + 1e-11 * cos[4.60118276053 + 19804.8272915828 * tau] + 1e-11 * cos[2.8623972993 + 63498.47038145279 * tau] + 1e-11 * cos[2.72338212355 + 419.4846438752 * tau] + 1e-11 * cos[1.4070114617 + 103285.11708910679 * tau] + 1e-11 * cos[4.13026377404 + 2648.454825473 * tau] + 1e-11 * cos[0.81949463309 + 52815.7035694624 * tau] + 1e-11 * cos[3.34598726101 + 24864.08530079559 * tau] + 1e-11 * cos[3.37653548744 + 22759.76748529401 * tau] + 1e-11 * cos[4.39544806298 + 131498.89763806018 * tau] + 1e-11 * cos[4.07362401058 + 181555.94006083018 * tau] + 1e-11 * cos[4.42403586918 + 25021.4076643842 * tau] + 1e-11 * cos[2.03042058117 + 76144.94556434419 * tau] + 1e-11 * cos[5.56485897392 + 104358.72611329758 * tau] + 1e-11 * cos[5.42420842294 + 79852.78232000639 * tau] + 1e-11 * cos[5.23291332097 + 134991.46920492979 * tau] + 1e-11 * cos[2.33178230942 + 108903.56606335558 * tau] + 1e-11 * cos[6.04185199127 + 104344.49901929598 * tau] + 1e-11 * cos[2.23301107736 + 107794.18751126219 * tau] + 1e-11 * cos[2.68991734615 + 59414.4818747484 * tau] + 1e-11 * cos[3.55488474055 + 84546.78527471398 * tau] + 1e-11 * cos[3.52887677711 + 97580.90196505119 * tau] + 1e-11 * cos[1.73442408485 + 64607.84893354619 * tau] + 2e-11 * cos[0.39879309478 + 104355.49390165479 * tau] + 1e-11 * cos[1.29736654025 + 26241.681952059 * tau] + 1e-11 * cos[1.54774252742 + 104564.91166173479 * tau] + 1e-11 * cos[3.04953117213 + 26941.0995233262 * tau] + 2e-11 * cos[0.99564225222 + 129909.82474277639 * tau] + 2e-11 * cos[1.01857337375 + 93028.94846799239 * tau] + 1e-11 * cos[1.69298852699 + 71025.03383312259 * tau] + 1e-11 * cos[0.7154790308 + 103925.01437542078 * tau] + 1e-11 * cos[2.2014213773 + 104371.28232719658 * tau] + 1e-11 * cos[5.01586042695 + 105460.99111839019 * tau] + 1e-11 * cos[0.20716724934 + 131548.89425996438 * tau] + 1e-11 * cos[1.28449131177 + 27154.3986187642 * tau] + 1e-11 * cos[5.64166202504 + 81706.28436968799 * tau] + 2e-11 * cos[0.61993180902 + 130969.20667296558 * tau] + 1e-11 * cos[4.16909637294 + 51742.09454527159 * tau] + 2e-11 * cos[2.15014442693 + 78259.82808936459 * tau] + 1e-11 * cos[3.30080224324 + 104331.94280539699 * tau] + 1e-11 * cos[4.7095478466 + 77197.21394753258 * tau] + 1e-11 * cos[1.86505965946 + 27140.17152476259 * tau] + 1e-11 * cos[1.58214319162 + 114564.89811250778 * tau] + 2e-11 * cos[0.33626385981 + 52061.36699446317 * tau] + 2e-11 * cos[3.24884087108 + 150866.08680029298 * tau] + 1e-11 * cos[2.46652537811 + 98068.53671630539 * tau] + 1e-11 * cos[0.66730245858 + 58458.88213313979 * tau] + 2e-11 * cos[5.96418661485 + 78050.41032928458 * tau] + 2e-11 * cos[0.36512406083 + 6283.0758499914 * tau] + 1e-11 * cos[6.06582167254 + 102132.85546210999 * tau] + 2e-11 * cos[2.04705904795 + 433.7117378768 * tau] + 2e-11 * cos[2.55186486587 + 39609.6545831656 * tau] + 1e-11 * cos[4.91443985635 + 78690.30761559859 * tau] + 2e-11 * cos[2.43202419279 + 45892.73043315699 * tau] + 2e-11 * cos[4.79020891265 + 15874.6175953632 * tau] + 2e-11 * cos[1.86655156569 + 23439.44831610119 * tau] + 2e-11 * cos[5.57497617017 + 71980.63357473118 * tau] + 2e-11 * cos[5.22546741404 + 162188.75089859738 * tau] + 2e-11 * cos[4.06092192484 + 77837.11123384659 * tau] + 2e-11 * cos[3.27812728356 + 51322.60990139639 * tau] + 2e-11 * cos[3.34041291655 + 151975.46535238638 * tau] + 2e-11 * cos[4.05475453577 + 120226.23016165999 * tau] + 2e-11 * cos[4.12821833516 + 77211.44104153418 * tau] + 2e-11 * cos[4.95243490606 + 129483.91596626239 * tau] + 2e-11 * cos[2.58799752737 + 181505.94343892598 * tau] + 2e-11 * cos[5.01301614244 + 3442.5749449654 * tau] + 2e-11 * cos[3.07092516027 + 78256.59587772179 * tau] + 2e-11 * cos[4.40683761496 + 103821.92160120218 * tau] + 2e-11 * cos[4.78661791721 + 78477.00852016058 * tau] + 2e-11 * cos[5.50150244414 + 78283.37918562238 * tau] + 2e-11 * cos[0.7397688755 + 18207.81398823521 * tau] + 2e-11 * cos[0.51631216786 + 71492.99882347698 * tau] + 2e-11 * cos[4.87063627681 + 35191.8101356918 * tau] + 2e-11 * cos[2.54143985834 + 78270.82297172339 * tau] + 2e-11 * cos[2.12346357366 + 65697.55772473979 * tau] + 2e-11 * cos[0.5412418909 + 74821.13447975718 * tau] + 2e-11 * cos[1.29912216629 + 105410.99449648599 * tau] + 2e-11 * cos[2.06866763231 + 339142.74084046457 * tau] + 2e-11 * cos[1.03418813348 + 155468.03691925599 * tau] + 2e-11 * cos[0.39437121176 + 125887.56221081219 * tau] + 2e-11 * cos[1.94114905421 + 7994.5284420242 * tau] + 2e-11 * cos[2.74232958068 + 52290.24557183361 * tau] + 2e-11 * cos[0.16310879863 + 28206.6670019526 * tau] + 2e-11 * cos[1.93776267237 + 117873.36400788819 * tau] + 3e-11 * cos[3.64926786888 + 78267.59076008058 * tau] + 2e-11 * cos[0.39272598961 + 23754.70674870219 * tau] + 3e-11 * cos[4.94448744333 + 44937.1306915484 * tau] + 2e-11 * cos[5.19328838214 + 91785.46086631398 * tau] + 2e-11 * cos[2.56919394798 + 51962.5071877104 * tau] + 2e-11 * cos[4.80666683935 + 88476.99497093359 * tau] + 3e-11 * cos[3.9333618709 + 104881.30353139139 * tau] + 3e-11 * cos[1.0582738966 + 51123.53789995999 * tau] + 3e-11 * cos[6.00022344367 + 29416.03879785439 * tau] + 3e-11 * cos[1.95420622178 + 103396.01282468818 * tau] + 4e-11 * cos[0.01480665337 + 7.1135470008 * tau] + 3e-11 * cos[1.86869273254 + 52602.4044740244 * tau] + 3e-11 * cos[3.89747679105 + 64741.95798313119 * tau] + 3e-11 * cos[6.26000429251 + 853.196381752 * tau] + 3e-11 * cos[3.08207297479 + 76044.9523205358 * tau] + 3e-11 * cos[0.22337858409 + 124778.18365871879 * tau] + 3e-11 * cos[1.58544193974 + 51109.31080595839 * tau] + 3e-11 * cos[5.12180734718 + 1052.2683831884 * tau] + 3e-11 * cos[0.82425633309 + 73711.75592766379 * tau] + 3e-11 * cos[1.04981780528 + 94138.32702008578 * tau] + 3e-11 * cos[4.04696774318 + 18093.37469954999 * tau] + 3e-11 * cos[4.58298191655 + 1066.49547719 * tau] + 3e-11 * cos[0.26868606771 + 78244.0396638228 * tau] + 4e-11 * cos[1.60135504353 + 77734.01845962799 * tau] + 3e-11 * cos[4.91152657563 + 47623.8527860896 * tau] + 3e-11 * cos[2.65056124435 + 76674.63652943878 * tau] + 4e-11 * cos[3.98623592167 + 26727.8004278882 * tau] + 3e-11 * cos[3.65975480266 + 99799.65906923798 * tau] + 3e-11 * cos[5.78273085505 + 28421.0995344462 * tau] + 4e-11 * cos[0.97295961632 + 44181.27784112419 * tau] + 5e-11 * cos[5.74788858603 + 52182.9198301492 * tau] + 4e-11 * cos[2.22141015932 + 33967.99229491319 * tau] + 4e-11 * cos[2.92358717546 + 2218.7571041868 * tau] + 4e-11 * cos[4.15256069197 + 32370.9789915656 * tau] + 4e-11 * cos[5.86573287261 + 155418.04029735178 * tau] + 4e-11 * cos[2.17208918484 + 136100.84775702319 * tau] + 4e-11 * cos[5.46706523938 + 50057.04242277 * tau] + 4e-11 * cos[4.24517841791 + 129380.13377768178 * tau] + 4e-11 * cos[3.26730161531 + 7238.6755916 * tau] + 4e-11 * cos[4.24591997877 + 66941.04532641819 * tau] + 4e-11 * cos[2.40470389725 + 53764.8791784322 * tau] + 4e-11 * cos[2.46695073802 + 55618.3812281138 * tau] + 5e-11 * cos[5.48187638039 + 82815.66292178139 * tau] + 5e-11 * cos[5.35396003655 + 52171.9249477904 * tau] + 6e-11 * cos[2.41451327257 + 52195.47604404819 * tau] + 5e-11 * cos[4.50767453332 + 13655.8604911764 * tau] + 4e-11 * cos[6.27439443684 + 52168.69273614759 * tau] + 5e-11 * cos[2.82458540907 + 54394.56338733519 * tau] + 5e-11 * cos[2.6132037412 + 79373.08797681599 * tau] + 6e-11 * cos[3.73803069606 + 45405.0956819028 * tau] + 7e-11 * cos[1.69076988754 + 12432.0426503978 * tau] + 5e-11 * cos[4.28220819106 + 68050.42387851159 * tau] + 7e-11 * cos[1.68449319925 + 52389.1053785864 * tau] + 7e-11 * cos[4.18249532118 + 77204.32749453338 * tau] + 6e-11 * cos[4.92478078408 + 26514.5013324502 * tau] + 6e-11 * cos[2.13481309441 + 51535.90899683439 * tau] + 6e-11 * cos[1.74585091288 + 62389.09182935939 * tau] + 6e-11 * cos[1.21940434381 + 41962.5207369374 * tau] + 6e-11 * cos[0.60060875587 + 52179.6876185064 * tau] + 6e-11 * cos[4.54286088482 + 79323.09135491178 * tau] + 7e-11 * cos[0.20928215626 + 33326.5787331742 * tau] + 7e-11 * cos[4.98530328971 + 529.6909650946 * tau] + 8e-11 * cos[2.75301666365 + 26095.016688575 * tau] + 9e-11 * cos[2.1210015003 + 18849.2275499742 * tau] + 7e-11 * cos[0.88520158736 + 38654.05484155699 * tau] + 7e-11 * cos[4.28693259279 + 955.5997416086 * tau] + 7e-11 * cos[1.18631489114 + 103292.23063610759 * tau] + 7e-11 * cos[1.96360039314 + 10213.285546211 * tau] + 7e-11 * cos[3.46667099767 + 2118.7638603784 * tau] + 7e-11 * cos[5.28088749622 + 77308.10968311399 * tau] + 7e-11 * cos[3.44556423722 + 26080.78959457339 * tau] + 8e-11 * cos[4.34411026261 + 31749.2351907264 * tau] + 1.0e-10 * cos[5.07319693095 + 25874.6040461362 * tau] + 8e-11 * cos[5.32679971128 + 51646.11531805379 * tau] + 8e-11 * cos[3.47359025801 + 98690.28051714458 * tau] + 7e-11 * cos[3.57060093012 + 48733.23133818299 * tau] + 8e-11 * cos[3.52212788936 + 52156.1365222486 * tau] + 8e-11 * cos[5.24647237181 + 313054.83769889036 * tau] + 9e-11 * cos[0.95963913886 + 78793.40038981718 * tau] + 8e-11 * cos[1.98050481337 + 13521.7514415914 * tau] + 9e-11 * cos[5.73812314204 + 51116.4243529592 * tau] + 8e-11 * cos[5.65148718768 + 53131.406024757 * tau] + 9e-11 * cos[4.83499870418 + 38519.945791972 * tau] + 8e-11 * cos[3.39306818321 + 25973.46385288896 * tau] + 8e-11 * cos[5.42702003399 + 110012.94461544899 * tau] + 9e-11 * cos[0.00145195768 + 49957.0491789616 * tau] + 1.0e-10 * cos[3.94827815051 + 25661.3049506982 * tau] + 1.1e-10 * cos[0.92571990717 + 639.897286314 * tau] + 9e-11 * cos[0.03545904481 + 25234.70675982219 * tau] + 1.0e-10 * cos[5.86382886189 + 26202.34243025941 * tau] + 1.1e-10 * cos[2.80390774003 + 129330.13715577759 * tau] + 1.0e-10 * cos[2.33297570685 + 426.598190876 * tau] + 1.2e-10 * cos[4.9023641695 + 36301.18868778519 * tau] + 1.2e-10 * cos[1.86975778356 + 9103.9069941176 * tau] + 1.2e-10 * cos[1.12086684687 + 43071.8992890308 * tau] + 1.2e-10 * cos[2.43920574243 + 56727.7597802072 * tau] + 1.3e-10 * cos[2.34101240702 + 26084.0218062162 * tau] + 1.2e-10 * cos[1.18827026407 + 40853.142184844 * tau] + 1.5e-10 * cos[5.72321978212 + 29530.4780865396 * tau] + 1.4e-10 * cos[5.00837046884 + 37410.5672398786 * tau] + 1.6e-10 * cos[5.69298300679 + 26107.57290247399 * tau] + 1.4e-10 * cos[5.73775080815 + 27676.976036858 * tau] + 1.4e-10 * cos[5.67708505049 + 57837.1383323006 * tau] + 1.5e-10 * cos[5.51545801304 + 6770.7106012456 * tau] + 1.4e-10 * cos[4.13753968603 + 12566.1516999828 * tau] + 1.5e-10 * cos[3.85502950028 + 26091.7844769322 * tau] + 1.5e-10 * cos[2.39097980793 + 83925.04147387479 * tau] + 1.7e-10 * cos[2.94277588966 + 53285.1848352418 * tau] + 1.6e-10 * cos[1.47218845921 + 53235.18821333759 * tau] + 1.6e-10 * cos[6.07779022342 + 50586.73338786459 * tau] + 1.8e-10 * cos[0.4883903725 + 26068.2333806744 * tau] + 2.1e-10 * cos[2.30083904827 + 51220.20654153979 * tau] + 2.0e-10 * cos[5.61847810688 + 4551.9534970588 * tau] + 2.4e-10 * cos[0.66522740624 + 19317.1925403286 * tau] + 2.2e-10 * cos[4.86064608327 + 26301.2022370122 * tau] + 2.5e-10 * cos[5.69513499802 + 5661.3320491522 * tau] + 2.1e-10 * cos[0.4089238358 + 72602.37737557039 * tau] + 2.7e-10 * cos[2.10665521901 + 25558.2121764796 * tau] + 2.3e-10 * cos[2.59711556958 + 23969.1392811958 * tau] + 2.5e-10 * cos[4.23934105457 + 52705.49724824299 * tau] + 3.3e-10 * cos[6.03682885493 + 103242.23401420339 * tau] + 2.8e-10 * cos[2.21390393577 + 286966.93455731616 * tau] + 3.1e-10 * cos[0.5004107612 + 22645.32819660879 * tau] + 3.3e-10 * cos[3.22976052744 + 23869.1460373874 * tau] + 3.1e-10 * cos[4.27403143366 + 16983.9961474566 * tau] + 3.1e-10 * cos[2.36104565226 + 32858.61374281979 * tau] + 3.1e-10 * cos[5.6648907507 + 30639.856638633 * tau] + 3.3e-10 * cos[5.34572581657 + 25448.00585526019 * tau] + 4.3e-10 * cos[6.0742625499 + 28306.66024576099 * tau] + 3.5e-10 * cos[1.80468389323 + 11322.6640983044 * tau] + 3.6e-10 * cos[4.39741248058 + 14765.2390432698 * tau] + 4.2e-10 * cos[2.77372510028 + 1589.0728952838 * tau] + 4.3e-10 * cos[4.69270605698 + 27147.28507176339 * tau] + 5.3e-10 * cos[0.66673109494 + 21535.9496445154 * tau] + 5.9e-10 * cos[3.10922979724 + 27043.5028831828 * tau] + 5.3e-10 * cos[3.63699398162 + 46514.4742339962 * tau] + 6.6e-10 * cos[5.68201233964 + 25132.3033999656 * tau] + 5.7e-10 * cos[2.9675336298 + 1109.3785520934 * tau] + 7.4e-10 * cos[1.286303818 + 26617.5941066688 * tau] + 1.03e-9 * cos[2.98038190305 + 77154.33087262919 * tau] + 9.5e-10 * cos[1.70276410782 + 1059.3819301892 * tau] + 9.7e-10 * cos[5.44128884026 + 260879.03141574195 * tau] + 1.05e-9 * cos[4.36663468239 + 25028.521211385 * tau] + 1.13e-9 * cos[3.28048907943 + 24498.8302462904 * tau] + 1.20e-9 * cos[0.56745598887 + 20426.571092422 * tau] + 3.20e-9 * cos[6.20674766565 + 51066.427731055 * tau] + 3.32e-9 * cos[2.3899257567 + 234791.12827416777 * tau] + 4.83e-9 * cos[6.1430765452 + 27197.2816936676 * tau] + 1.131e-8 * cos[5.6214219697 + 208703.22513259358 * tau] + 1.042e-8 * cos[3.14648120079 + 24978.5245894808 * tau] + 3.825e-8 * cos[2.56993599584 + 182615.32199101939 * tau] + 1.2793e-7 * cos[5.80143162209 + 156527.41884944518 * tau] + 2.1759e-7 * cos[3.14159265359 + 0.0 * tau] + 4.2175e-7 * cos[2.74936980629 + 130439.51570787099 * tau] + 0.0000013613 * cos[5.97983925842 + 104351.61256629678 * tau] + 0.00000424822 * cos[2.9258335296 + 78263.70942472259 * tau] + 0.00001245396 * cos[6.15183317423 + 52175.8062831484 * tau] + 0.00003117867 * cos[3.08231840296 + 26087.9031415742 * tau]; R3 = 1e-11 * cos[3.54716896556 + 51646.11531805379 * tau] + 1e-11 * cos[2.16986592809 + 45405.0956819028 * tau] + 1e-11 * cos[4.46169102731 + 28306.66024576099 * tau] + 1e-11 * cos[4.13825019881 + 3442.5749449654 * tau] + 1e-11 * cos[3.35625397389 + 37410.5672398786 * tau] + 1e-11 * cos[3.87802524387 + 82815.66292178139 * tau] + 1e-11 * cos[5.73721596586 + 78793.40038981718 * tau] + 1e-11 * cos[5.39853672849 + 19317.1925403286 * tau] + 1e-11 * cos[2.88631079597 + 79323.09135491178 * tau] + 1e-11 * cos[5.20339566427 + 26068.2333806744 * tau] + 1e-11 * cos[0.87302135775 + 83925.04147387479 * tau] + 1e-11 * cos[4.1481457861 + 29530.4780865396 * tau] + 1e-11 * cos[6.27673970277 + 53235.18821333759 * tau] + 1e-11 * cos[0.74728939443 + 32858.61374281979 * tau] + 1e-11 * cos[1.31974603498 + 54394.56338733519 * tau] + 1e-11 * cos[3.83684899837 + 77308.10968311399 * tau] + 1e-11 * cos[4.46892853356 + 53131.406024757 * tau] + 1e-11 * cos[5.90420893056 + 40853.142184844 * tau] + 1e-11 * cos[1.88608259832 + 98690.28051714458 * tau] + 1e-11 * cos[4.70414203873 + 50586.73338786459 * tau] + 1e-11 * cos[2.25667255668 + 21535.9496445154 * tau] + 1e-11 * cos[3.23518929162 + 26301.2022370122 * tau] + 1e-11 * cos[4.41206223998 + 79373.08797681599 * tau] + 1e-11 * cos[4.28935605425 + 27676.976036858 * tau] + 1e-11 * cos[0.90273607509 + 51220.20654153979 * tau] + 1e-11 * cos[0.32054002273 + 9103.9069941176 * tau] + 1e-11 * cos[1.2535842334 + 129330.13715577759 * tau] + 1e-11 * cos[1.4410244446 + 27043.5028831828 * tau] + 1e-11 * cos[1.70132625273 + 23869.1460373874 * tau] + 1e-11 * cos[2.82234410581 + 52705.49724824299 * tau] + 1e-11 * cos[3.74339959279 + 313054.83769889036 * tau] + 1e-11 * cos[2.85134614467 + 14765.2390432698 * tau] + 1e-11 * cos[3.90494988936 + 4551.9534970588 * tau] + 1e-11 * cos[6.14595652541 + 26617.5941066688 * tau] + 1e-11 * cos[5.14405498793 + 72602.37737557039 * tau] + 1e-11 * cos[1.33238537892 + 1589.0728952838 * tau] + 1e-11 * cos[3.24267833975 + 27147.28507176339 * tau] + 1e-11 * cos[2.11997334018 + 46514.4742339962 * tau] + 2e-11 * cos[4.21865197056 + 25132.3033999656 * tau] + 2e-11 * cos[0.20057520755 + 1059.3819301892 * tau] + 2e-11 * cos[4.48222146022 + 103242.23401420339 * tau] + 2e-11 * cos[1.54812921017 + 1109.3785520934 * tau] + 2e-11 * cos[5.31135121818 + 20426.571092422 * tau] + 3e-11 * cos[0.67217979275 + 286966.93455731616 * tau] + 4e-11 * cos[1.37106678794 + 53285.1848352418 * tau] + 5e-11 * cos[1.43247327249 + 77154.33087262919 * tau] + 9e-11 * cos[3.90622332667 + 260879.03141574195 * tau] + 1.2e-10 * cos[4.6587866039 + 51066.427731055 * tau] + 1.1e-10 * cos[4.58074493182 + 27197.2816936676 * tau] + 2.3e-10 * cos[1.60029451014 + 24978.5245894808 * tau] + 2.8e-10 * cos[0.85051616237 + 234791.12827416777 * tau] + 8.4e-10 * cos[4.08008618813 + 208703.22513259358 * tau] + 2.50e-9 * cos[1.02794425848 + 182615.32199101939 * tau] + 7.19e-9 * cos[4.25913631362 + 156527.41884944518 * tau] + 1.460e-8 * cos[3.14159265359 + 0.0 * tau] + 1.981e-8 * cos[1.20733880274 + 130439.51570787099 * tau] + 5.140e-8 * cos[4.4391538693 + 104351.61256629678 * tau] + 1.2133e-7 * cos[1.38983781545 + 78263.70942472259 * tau] + 2.4166e-7 * cos[4.63403168997 + 52175.8062831484 * tau] + 3.2676e-7 * cos[1.67971635359 + 26087.9031415742 * tau]; R4 = 1e-11 * cos[2.33785160871 + 260879.03141574195 * tau] + 2e-11 * cos[5.59978443851 + 234791.12827416777 * tau] + 5e-11 * cos[2.54506442647 + 208703.22513259358 * tau] + 1.2e-10 * cos[5.77775334056 + 182615.32199101939 * tau] + 1.7e-10 * cos[0.0 + 0.0 * tau] + 3.1e-10 * cos[2.72386700044 + 156527.41884944518 * tau] + 7.1e-10 * cos[5.95867889641 + 130439.51570787099 * tau] + 1.49e-9 * cos[2.91591904641 + 104351.61256629678 * tau] + 2.70e-9 * cos[6.16983616444 + 78263.70942472259 * tau] + 3.87e-9 * cos[3.18568771507 + 52175.8062831484 * tau] + 3.94e-9 * cos[0.3673540384 + 26087.9031415742 * tau]; R5 = 1e-11 * cos[4.2614902634 + 182615.32199101939 * tau] + 1e-11 * cos[1.21278177664 + 156527.41884944518 * tau] + 1e-11 * cos[3.14159265359 + 0.0 * tau] + 2e-11 * cos[4.44231488663 + 130439.51570787099 * tau] + 4e-11 * cos[1.40238366492 + 104351.61256629678 * tau] + 5e-11 * cos[4.65461721116 + 78263.70942472259 * tau] + 6e-11 * cos[1.55248278782 + 52175.8062831484 * tau] + 6e-11 * cos[3.98900269603 + 26087.9031415742 * tau]; L = ((L0 + L1 tau + L2 tau^2 + L3 tau^3 + L4 tau^4 + L5 tau^5) radians) mod circle B = ((B0 + B1 tau + B2 tau^2 + B3 tau^3 + B4 tau^4 + B5 tau^5) radians) mod circle R = (R0 + R1 tau + R2 tau^2 + R3 tau^3 + R4 tau^4 + R5 tau^5) au return [L, B, R] } // // Venus // // This function calculates the heliocentric coordinates of Venus // referred to the mean equinox *of the date*. You may want to convert this // to another coordinate system, such as FK5. // // arguments: // d: the date/time to be calculated for // // returns: // [L, B, R] // // Where // L is the heliocentric longitude, // B is the heliocentric latitude // R is the distance from the sun. class var VenusHeliocentricCoordinates = {|d| tau = meeusT[d] / 10 L0 = 3.7e-10 * cos[4.69675087759 + 44007.8292697396 * tau] + 4.6e-10 * cos[4.41738494249 + 34570.0663348526 * tau] + 4.8e-10 * cos[1.52546758016 + 20639.87018786 * tau] + 5.0e-10 * cos[6.17899839001 + 22779.4372461938 * tau] + 6.2e-10 * cos[4.16222812699 + 42430.4857272918 * tau] + 6.0e-10 * cos[4.56685040226 + 30426.557543195 * tau] + 6.1e-10 * cos[4.80385549281 + 19889.76658032659 * tau] + 6.9e-10 * cos[0.29569499484 + 10175.2578735752 * tau] + 7.6e-10 * cos[5.12884307551 + 49515.382508407 * tau] + 7.7e-10 * cos[6.16012067704 + 1573.8204240988 * tau] + 7.1e-10 * cos[0.10259261764 + 90695.75207512038 * tau] + 7.5e-10 * cos[1.72618192481 + 19580.4882576708 * tau] + 7.8e-10 * cos[5.81927313665 + 567.7186377304 * tau] + 7.5e-10 * cos[5.17868679355 + 63658.8777508376 * tau] + 8.7e-10 * cos[2.15124790938 + 28313.288804661 * tau] + 9.2e-10 * cos[0.80301220092 + 24383.0791084414 * tau] + 8.1e-10 * cos[1.03870237004 + 9793.8009023358 * tau] + 9.7e-10 * cos[4.02223363535 + 10218.8084705184 * tau] + 7.8e-10 * cos[4.47358603432 + 114.43928868521 * tau] + 8.5e-10 * cos[4.60912614442 + 45585.1728121874 * tau] + 8.4e-10 * cos[6.02475904578 + 10632.7701900862 * tau] + 8.9e-10 * cos[2.13409771828 + 44768.0994098786 * tau] + 8.1e-10 * cos[5.51324815184 + 412.3710968744 * tau] + 1.14e-9 * cos[5.19676285428 + 70743.77453195279 * tau] + 8.5e-10 * cos[5.69642646462 + 37703.9780242558 * tau] + 8.6e-10 * cos[0.39533409505 + 3956.5080160194 * tau] + 1.10e-9 * cos[4.96279287076 + 48417.97290558199 * tau] + 9.4e-10 * cos[0.18166654805 + 67589.08744705719 * tau] + 9.6e-10 * cos[5.27525709038 + 8734.4189721466 * tau] + 9.3e-10 * cos[5.23395435043 + 14169.7935622304 * tau] + 9.7e-10 * cos[3.92727733144 + 11794.1522070078 * tau] + 9.8e-10 * cos[4.60938156207 + 11787.1059703098 * tau] + 1.18e-9 * cos[6.0912132594 + 29786.660256881 * tau] + 1.17e-9 * cos[2.24143299549 + 56600.2792895222 * tau] + 1.20e-9 * cos[3.93060866244 + 38526.574350872 * tau] + 9.2e-10 * cos[0.99804571578 + 95.9792272178 * tau] + 9.1e-10 * cos[1.77665981007 + 1539.315869812 * tau] + 1.28e-9 * cos[6.0102456216 + 90394.82301305079 * tau] + 1.10e-9 * cos[5.87455577536 + 38500.2760310722 * tau] + 1.11e-9 * cos[1.25947267588 + 10846.0692855242 * tau] + 1.01e-9 * cos[4.62832557536 + 65236.2212932854 * tau] + 9.9e-10 * cos[3.75627530197 + 59728.668054618 * tau] + 9.8e-10 * cos[6.23797900467 + 202.2533951741 * tau] + 1.13e-9 * cos[5.69261397718 + 10110.1927719924 * tau] + 1.23e-9 * cos[0.44045588682 + 515.463871093 * tau] + 1.36e-9 * cos[4.17517197268 + 3646.3503773544 * tau] + 1.33e-9 * cos[3.02183293676 + 76251.32777062019 * tau] + 9.9e-10 * cos[1.51324741657 + 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206.1855484372 * tau] + 2.570e-8 * cos[1.20813474107 + 13936.794505134 * tau] + 3.798e-8 * cos[0.45524571743 + 10316.3783204296 * tau] + 3.825e-8 * cos[0.19612312903 + 426.598190876 * tau] + 3.016e-8 * cos[1.57249112496 + 17277.4069318338 * tau] + 2.891e-8 * cos[3.3378273777 + 32217.2001810808 * tau] + 3.755e-8 * cos[3.80208713127 + 19786.67380610799 * tau] + 3.496e-8 * cos[0.72414615705 + 3723.508958923 * tau] + 3.152e-8 * cos[0.72553551731 + 16496.3613962024 * tau] + 3.909e-8 * cos[4.0526363533 + 9690.7081281172 * tau] + 3.238e-8 * cos[5.39551036769 + 419.4846438752 * tau] + 3.642e-8 * cos[6.11733529325 + 3128.3887650958 * tau] + 4.318e-8 * cos[4.38289970585 + 316.3918696566 * tau] + 4.145e-8 * cos[1.14356412295 + 9676.4810341156 * tau] + 4.407e-8 * cos[4.02575374517 + 74.7815985673 * tau] + 3.763e-8 * cos[1.05304597315 + 19.66976089979 * tau] + 4.254e-8 * cos[5.36046113295 + 21535.9496445154 * tau] + 5.303e-8 * cos[0.08161426841 + 39302.096962196 * tau] + 3.863e-8 * cos[4.89351531412 + 25934.1243310894 * tau] + 5.526e-8 * cos[3.36797048901 + 25158.6017197654 * tau] + 4.608e-8 * cos[1.93302108394 + 4705.7323075436 * tau] + 5.010e-8 * cos[5.773751665 + 28521.0927782546 * tau] + 5.327e-8 * cos[3.03115417024 + 10021.8372800994 * tau] + 5.580e-8 * cos[0.48723384809 + 522.5774180938 * tau] + 4.651e-8 * cos[0.85218058876 + 6770.7106012456 * tau] + 5.959e-8 * cos[5.04792949464 + 245.8316462294 * tau] + 6.305e-8 * cos[0.3550633118 + 103.0927742186 * tau] + 5.048e-8 * cos[4.27886209626 + 29580.4747084438 * tau] + 7.047e-8 * cos[1.00111452053 + 632.7837393132 * tau] + 5.275e-8 * cos[5.01877102496 + 28286.9904848612 * tau] + 5.950e-8 * cos[2.96578175391 + 4732.0306273434 * tau] + 5.802e-8 * cos[1.93462125906 + 3340.6124266998 * tau] + 6.413e-8 * cos[2.17677652923 + 10988.808157535 * tau] + 6.688e-8 * cos[1.55310437864 + 14945.3161735544 * tau] + 6.821e-8 * cos[4.39733188968 + 8662.240323563 * tau] + 9.352e-8 * cos[4.94508904764 + 35371.8872659764 * tau] + 8.893e-8 * cos[1.97291388515 + 10186.9872264112 * tau] + 8.154e-8 * cos[1.92331359797 + 15.252471185 * tau] + 1.0105e-7 * cos[2.34270786693 + 10742.9765113056 * tau] + 1.1807e-7 * cos[1.91250672543 + 21228.3920235458 * tau] + 1.1599e-7 * cos[5.81007422699 + 19896.8801273274 * tau] + 9.231e-8 * cos[5.52471655579 + 12566.1516999828 * tau] + 1.0576e-7 * cos[0.85419784436 + 10596.1820784342 * tau] + 9.904e-8 * cos[1.08737710389 + 7064.1213856228 * tau] + 1.1048e-7 * cos[2.58361219075 + 9786.687355335 * tau] + 1.0955e-7 * cos[2.84562790076 + 18307.8072320436 * tau] + 1.7094e-7 * cos[3.5216152643 + 31441.6775697568 * tau] + 1.3656e-7 * cos[4.41336292334 + 3532.0606928114 * tau] + 1.8269e-7 * cos[3.04740408477 + 19999.97290154599 * tau] + 1.9069e-7 * cos[6.12025580313 + 29050.7837433492 * tau] + 1.5885e-7 * cos[1.50067222283 + 8635.9420037632 * tau] + 2.3739e-7 * cos[4.82870797552 + 6872.6731195112 * tau] + 1.8988e-7 * cos[4.13811500642 + 4551.9534970588 * tau] + 2.0492e-7 * cos[0.58547075036 + 38.0276726358 * tau] + 2.6260e-7 * cos[0.54067587552 + 17298.1823273262 * tau] + 2.4322e-7 * cos[4.27814493315 + 5.5229243074 * tau] + 2.0274e-7 * cos[3.79493637509 + 14143.4952424306 * tau] + 2.4424e-7 * cos[2.70177493852 + 8624.2126509272 * tau] + 2.9252e-7 * cos[3.51392387787 + 283.8593188652 * tau] + 3.0172e-7 * cos[4.9419191989 + 13745.3462390224 * tau] + 3.3252e-7 * cos[2.10025596509 + 27511.4678735372 * tau] + 2.9850e-7 * cos[4.02176977477 + 10239.5838660108 * tau] + 2.8479e-7 * cos[2.22375414002 + 1059.3819301892 * tau] + 2.9138e-7 * cos[3.59230925768 + 22003.9146348698 * tau] + 3.3893e-7 * cos[2.02347322198 + 6283.0758499914 * tau] + 3.5749e-7 * cos[2.70448479296 + 10206.1719992102 * tau] + 4.1177e-7 * cos[0.36240972161 + 382.8965322232 * tau] + 4.2635e-7 * cos[1.7995542168 + 7084.8967811152 * tau] + 4.2594e-7 * cos[5.3287333721 + 2352.8661537718 * tau] + 4.4574e-7 * cos[6.06282201966 + 40853.142184844 * tau] + 4.6111e-7 * cos[5.31576465717 + 18073.7049386502 * tau] + 5.0796e-7 * cos[0.24531603049 + 11322.6640983044 * tau] + 7.0239e-7 * cos[0.67458813282 + 23581.2581773176 * tau] + 5.6122e-7 * cos[4.24039855475 + 7.1135470008 * tau] + 7.1577e-7 * cos[0.11145739345 + 11015.1064773348 * tau] + 8.8031e-7 * cos[3.88868860307 + 9999.986450773 * tau] + 8.2094e-7 * cos[3.21596990826 + 18837.49819713819 * tau] + 9.8804e-7 * cos[5.39389655503 + 13367.9726311066 * tau] + 9.9121e-7 * cos[0.83288185132 + 213.299095438 * tau] + 8.5722e-7 * cos[0.35589249966 + 3154.6870848956 * tau] + 0.00000105547 * cos[1.53721191253 + 801.8209311238 * tau] + 0.00000127907 * cos[0.96209822685 + 5661.3320491522 * tau] + 0.00000155464 * cos[5.57043888948 + 19651.048481098 * tau] + 0.00000128263 * cos[4.22604493736 + 20.7753954924 * tau] + 0.00000179695 * cos[4.65337915578 + 1109.3785520934 * tau] + 0.00000231937 * cos[3.16251057072 + 9153.9036160218 * tau] + 0.00000326967 * cos[5.67736583705 + 5507.5532386674 * tau] + 0.00000429498 * cos[3.58642859752 + 19367.1891622328 * tau] + 0.00000326221 * cos[4.59056473097 + 10404.7338123226 * tau] + 0.00000499915 * cos[4.12340210074 + 15720.8387848784 * tau] + 0.00000769314 * cos[0.81629615911 + 9437.762934887 * tau] + 0.00000584836 * cos[3.99839884762 + 191.4482661116 * tau] + 0.00000707676 * cos[1.06466707214 + 775.522611324 * tau] + 0.0000076138 * cos[1.9501470212 + 529.6909650946 * tau] + 0.00001200521 * cos[6.15357115319 + 30639.856638633 * tau] + 0.00001438322 * cos[4.15745043958 + 9683.5945811164 * tau] + 0.00001664069 * cos[4.2501893503 + 1577.3435424478 * tau] + 0.00001317108 * cos[5.18668219093 + 26.2983197998 * tau] + 0.00002372061 * cos[2.99377539568 + 3930.2096962196 * tau] + 0.00003455732 * cos[2.69964470778 + 11790.6290886588 * tau] + 0.00005477201 * cos[4.41630652531 + 7860.4193924392 * tau] + 0.00089891645 * cos[5.30650048468 + 20426.571092422 * tau] + 0.01353968419 * cos[5.59313319619 + 10213.285546211 * tau] + 3.17614666774 * cos[0.0 + 0.0 * tau]; L1 = 3.1e-10 * cos[6.16829805337 + 10192.5101507186 * tau] + 2.5e-10 * cos[3.38876180652 + 7058.5984613154 * tau] + 3.7e-10 * cos[3.66792179278 + 20956.2620575166 * tau] + 3.7e-10 * cos[0.14190533464 + 29050.7837433492 * tau] + 3.6e-10 * cos[1.43280677914 + 42456.7840470916 * tau] + 3.9e-10 * cos[1.31040309875 + 48739.859897083 * tau] + 3.7e-10 * cos[1.08739100421 + 17085.9586657222 * tau] + 4.0e-10 * cos[2.16802870803 + 59728.668054618 * tau] + 4.0e-10 * cos[3.06358586355 + 813.5502839598 * tau] + 4.1e-10 * cos[0.36665992484 + 19999.97290154599 * tau] + 4.1e-10 * cos[4.47012768909 + 40077.61957352 * tau] + 5.5e-10 * cos[1.38351566741 + 38500.2760310722 * tau] + 5.3e-10 * cos[0.41974404621 + 30831.3049047446 * tau] + 3.9e-10 * cos[0.99375127466 + 94138.32702008578 * tau] + 4.4e-10 * cos[2.03114426076 + 18314.9207790444 * tau] + 4.6e-10 * cos[0.12586526756 + 57375.8019008462 * tau] + 4.7e-10 * cos[3.73567275749 + 64460.6986819614 * tau] + 4.3e-10 * cos[5.62725673544 + 14.2270940016 * tau] + 4.5e-10 * cos[0.02999265111 + 44809.6502008634 * tau] + 4.5e-10 * cos[2.34680401001 + 9411.4646150872 * tau] + 4.5e-10 * cos[5.59492908223 + 467.9649903544 * tau] + 5.1e-10 * cos[5.45979584751 + 60530.4889857418 * tau] + 4.6e-10 * cos[2.93422086586 + 27682.1407441564 * tau] + 5.0e-10 * cos[4.37549274002 + 28513.97923125379 * tau] + 4.6e-10 * cos[0.05105081843 + 38526.574350872 * tau] + 4.7e-10 * cos[2.63299859494 + 51868.2486621788 * tau] + 4.8e-10 * cos[6.00565977593 + 283.8593188652 * tau] + 4.9e-10 * cos[0.77345264124 + 35371.8872659764 * tau] + 5.0e-10 * cos[5.69803054279 + 39793.7602546548 * tau] + 5.5e-10 * cos[2.63906959481 + 52670.0695933026 * tau] + 5.3e-10 * cos[4.30231233835 + 18849.2275499742 * tau] + 6.1e-10 * cos[5.66161679402 + 17468.8551979454 * tau] + 6.5e-10 * cos[4.21150522641 + 49.7570254718 * tau] + 5.5e-10 * cos[1.33161298098 + 18300.69368504279 * tau] + 7.3e-10 * cos[1.31083648835 + 11272.6674764002 * tau] + 6.5e-10 * cos[2.10322000074 + 74.7815985673 * tau] + 5.7e-10 * cos[3.59399518494 + 735.8765135318 * tau] + 5.7e-10 * cos[5.39355890141 + 20419.45754542119 * tau] + 5.8e-10 * cos[3.74010494151 + 1066.49547719 * tau] + 6.3e-10 * cos[5.04865067599 + 53445.5922046266 * tau] + 6.1e-10 * cos[4.96121014691 + 34596.3646546524 * tau] + 6.2e-10 * cos[4.7769845465 + 3914.9572250346 * tau] + 6.5e-10 * cos[1.08206062736 + 68050.42387851159 * tau] + 6.9e-10 * cos[1.73648747605 + 37410.5672398786 * tau] + 7.1e-10 * cos[4.3362880685 + 39264.0692895602 * tau] + 7.0e-10 * cos[4.03868009742 + 56600.2792895222 * tau] + 6.4e-10 * cos[2.99454749109 + 27197.2816936676 * tau] + 6.4e-10 * cos[4.24772678145 + 153.7788104848 * tau] + 6.7e-10 * cos[5.81350818057 + 20809.4676246452 * tau] + 6.7e-10 * cos[3.54815262526 + 30666.1549584328 * tau] + 7.3e-10 * cos[4.75280755154 + 40879.4405046438 * tau] + 8.7e-10 * cos[3.82284200928 + 27511.4678735372 * tau] + 9.1e-10 * cos[2.60544242067 + 1052.2683831884 * tau] + 7.6e-10 * cos[2.93363913259 + 38204.687359371 * tau] + 9.7e-10 * cos[5.67942873241 + 227.476132789 * tau] + 8.9e-10 * cos[5.65756996753 + 377.3736079158 * tau] + 8.7e-10 * cos[5.25157021446 + 14128.2427712456 * tau] + 9.3e-10 * cos[1.79250830018 + 12432.0426503978 * tau] + 8.1e-10 * cos[0.01896422336 + 24150.080051345 * tau] + 9.0e-10 * cos[4.34075776744 + 29057.89729034999 * tau] + 1.02e-9 * cos[4.27051236894 + 15874.6175953632 * tau] + 9.2e-10 * cos[4.82530051729 + 29043.67019634839 * tau] + 8.1e-10 * cos[0.46468679835 + 77.673770428 * tau] + 9.8e-10 * cos[2.42401801881 + 23581.2581773176 * tau] + 8.8e-10 * cos[3.63836700262 + 49515.382508407 * tau] + 9.9e-10 * cos[0.61079620895 + 41654.9631159678 * tau] + 8.4e-10 * cos[3.50355880173 + 639.897286314 * tau] + 8.8e-10 * cos[2.62613816931 + 21.8508293264 * tau] + 1.03e-9 * cos[2.01549383816 + 45585.1728121874 * tau] + 8.5e-10 * cos[5.04808202087 + 9830.3890139878 * tau] + 1.03e-9 * cos[2.62610244425 + 20213.271996984 * tau] + 1.20e-9 * cos[5.41870615047 + 37724.7534197482 * tau] + 9.8e-10 * cos[5.07711736751 + 135.62532501 * tau] + 1.14e-9 * cos[4.36384000196 + 20007.0864485468 * tau] + 1.06e-9 * cos[3.34507236765 + 10103.0792249916 * tau] + 1.12e-9 * cos[3.31796669604 + 36949.2308084242 * tau] + 1.22e-9 * cos[4.84805105466 + 19992.85935454519 * tau] + 1.09e-9 * cos[0.78612823474 + 6681.2248533996 * tau] + 1.09e-9 * cos[2.25388616761 + 26735.9452622132 * tau] + 1.21e-9 * cos[0.51392111799 + 21535.9496445154 * tau] + 1.53e-9 * cos[4.01743770323 + 33794.5437235286 * tau] + 1.51e-9 * cos[0.03422618975 + 27991.40181316 * tau] + 1.55e-9 * cos[5.90500835975 + 12592.4500197826 * tau] + 1.36e-9 * cos[0.88942869764 + 22805.7355659936 * tau] + 1.59e-9 * cos[5.23851679605 + 10007.0999977738 * tau] + 1.39e-9 * cos[2.99154379541 + 110.2063212194 * tau] + 1.89e-9 * cos[1.43553862242 + 2379.1644735716 * tau] + 1.48e-9 * cos[3.4640441813 + 21202.093703746 * tau] + 1.47e-9 * cos[4.25008782855 + 16983.9961474566 * tau] + 2.08e-9 * cos[3.38876526854 + 17778.11626694899 * tau] + 2.14e-9 * cos[2.70027196648 + 3128.3887650958 * tau] + 1.77e-9 * cos[5.70206821967 + 9992.8729037722 * tau] + 1.86e-9 * cos[5.13678812068 + 7255.5696517344 * tau] + 1.64e-9 * cos[4.92240093026 + 10426.584641649 * tau] + 2.09e-9 * cos[2.66033422116 + 3442.5749449654 * tau] + 1.77e-9 * cos[1.88170417337 + 33019.0211122046 * tau] + 2.11e-9 * cos[2.71884568392 + 15720.8387848784 * tau] + 1.88e-9 * cos[1.62614804098 + 9161.0171630226 * tau] + 1.78e-9 * cos[4.90042854659 + 10787.6303445458 * tau] + 1.87e-9 * cos[5.49670351645 + 170.6728706192 * tau] + 1.95e-9 * cos[6.23142464829 + 30110.1656735384 * tau] + 1.88e-9 * cos[0.39123199129 + 19573.37471066999 * tau] + 2.17e-9 * cos[5.79472589364 + 9103.9069941176 * tau] + 1.97e-9 * cos[2.09222675324 + 9683.5945811164 * tau] + 2.58e-9 * cos[6.27611355094 + 1551.045222648 * tau] + 1.98e-9 * cos[1.89506914939 + 20452.8694122218 * tau] + 2.16e-9 * cos[5.8861892303 + 18875.525869774 * tau] + 2.12e-9 * cos[0.241736776 + 36.0278666774 * tau] + 2.06e-9 * cos[0.97167234723 + 10234.0609417034 * tau] + 2.87e-9 * cos[1.84003536598 + 1589.0728952838 * tau] + 3.01e-9 * cos[3.64457981649 + 20400.2727726222 * tau] + 3.00e-9 * cos[3.76014360906 + 8094.5216858326 * tau] + 2.54e-9 * cos[0.34411959301 + 28521.0927782546 * tau] + 2.64e-9 * cos[5.20407029554 + 220.4126424388 * tau] + 3.24e-9 * cos[2.14144542781 + 9999.986450773 * tau] + 2.73e-9 * cos[5.84415407168 + 9573.388259897 * tau] + 2.92e-9 * cos[0.43528982259 + 29088.811415985 * tau] + 3.83e-9 * cos[0.13890934755 + 4732.0306273434 * tau] + 2.86e-9 * cos[3.08459438435 + 17277.4069318338 * tau] + 2.78e-9 * cos[2.20429108375 + 18844.61174413899 * tau] + 3.70e-9 * cos[6.16895004656 + 2218.7571041868 * tau] + 3.24e-9 * cos[1.80146948625 + 18830.38465013739 * tau] + 3.24e-9 * cos[5.10759068171 + 24356.7807886416 * tau] + 3.14e-9 * cos[0.96837035284 + 20618.0193585336 * tau] + 4.43e-9 * cos[1.93864353398 + 9146.790069021 * tau] + 3.24e-9 * cos[1.40308439067 + 29580.4747084438 * tau] + 3.53e-9 * cos[2.22195492336 + 51066.427731055 * tau] + 4.49e-9 * cos[1.44520508753 + 8662.240323563 * tau] + 3.59e-9 * cos[0.72354778897 + 419.4846438752 * tau] + 4.07e-9 * cos[2.94002049006 + 10220.3990932118 * tau] + 4.04e-9 * cos[2.85003595942 + 29864.334027309 * tau] + 4.08e-9 * cos[4.80890663927 + 32217.2001810808 * tau] + 4.78e-9 * cos[4.70234715828 + 14945.3161735544 * tau] + 5.49e-9 * cos[6.08792865644 + 3930.2096962196 * tau] + 4.21e-9 * cos[2.71057839701 + 13936.794505134 * tau] + 5.64e-9 * cos[0.38776462529 + 19367.1891622328 * tau] + 4.34e-9 * cos[5.91094755233 + 19786.67380610799 * tau] + 4.32e-9 * cos[1.32004964493 + 103.0927742186 * tau] + 4.50e-9 * cos[0.212798446 + 11.729352836 * tau] + 4.88e-9 * cos[5.22311611589 + 25158.6017197654 * tau] + 5.01e-9 * cos[3.08578363577 + 245.8316462294 * tau] + 4.82e-9 * cos[0.40815793538 + 3340.6124266998 * tau] + 5.76e-9 * cos[5.41170044566 + 206.1855484372 * tau] + 5.40e-9 * cos[2.15936134728 + 16496.3613962024 * tau] + 5.32e-9 * cos[4.4157613089 + 574.3447983348 * tau] + 6.90e-9 * cos[4.01873754171 + 19651.048481098 * tau] + 5.38e-9 * cos[1.52023264138 + 25934.1243310894 * tau] + 5.75e-9 * cos[2.38792087791 + 6770.7106012456 * tau] + 7.02e-9 * cos[1.76206343944 + 19374.3027092336 * tau] + 7.33e-9 * cos[2.22147883292 + 19360.07561523199 * tau] + 6.65e-9 * cos[0.21346689192 + 7860.4193924392 * tau] + 7.04e-9 * cos[5.95307260017 + 20.7753954924 * tau] + 7.97e-9 * cos[2.23891816523 + 3723.508958923 * tau] + 9.29e-9 * cos[1.08024621325 + 11790.6290886588 * tau] + 8.16e-9 * cos[1.27303930175 + 19896.8801273274 * tau] + 7.44e-9 * cos[3.33129778857 + 536.8045120954 * tau] + 7.28e-9 * cos[0.10716917942 + 4705.7323075436 * tau] + 8.21e-9 * cos[2.60456032773 + 19.66976089979 * tau] + 8.24e-9 * cos[0.23090829723 + 28286.9904848612 * tau] + 9.08e-9 * cos[1.06613723738 + 10021.8372800994 * tau] + 8.44e-9 * cos[4.75124127613 + 10988.808157535 * tau] + 9.71e-9 * cos[6.10590045414 + 3532.0606928114 * tau] + 1.031e-8 * cos[2.03889374176 + 38.0276726358 * tau] + 1.101e-8 * cos[3.74248783564 + 18307.8072320436 * tau] + 1.150e-8 * cos[0.81088598778 + 10742.9765113056 * tau] + 1.219e-8 * cos[2.27324315182 + 522.5774180938 * tau] + 1.150e-8 * cos[2.35531987378 + 9690.7081281172 * tau] + 1.006e-8 * cos[4.26200749078 + 426.598190876 * tau] + 1.116e-8 * cos[3.83715584719 + 21228.3920235458 * tau] + 1.219e-8 * cos[2.83617320088 + 9676.4810341156 * tau] + 1.237e-8 * cos[2.59740787132 + 4551.9534970588 * tau] + 1.474e-8 * cos[5.92236241437 + 9786.687355335 * tau] + 1.311e-8 * cos[0.90408820221 + 12566.1516999828 * tau] + 1.473e-8 * cos[2.59350470099 + 7064.1213856228 * tau] + 1.527e-8 * cos[0.67146857292 + 14143.4952424306 * tau] + 2.122e-8 * cos[4.47091605309 + 8624.2126509272 * tau] + 2.209e-8 * cos[2.07730338665 + 8635.9420037632 * tau] + 1.720e-8 * cos[4.72129626061 + 10186.9872264112 * tau] + 2.405e-8 * cos[2.36085282088 + 10596.1820784342 * tau] + 2.344e-8 * cos[2.36652432105 + 17298.1823273262 * tau] + 2.951e-8 * cos[5.34618097429 + 7084.8967811152 * tau] + 2.774e-8 * cos[1.45683830639 + 10239.5838660108 * tau] + 2.563e-8 * cos[0.35147506973 + 22003.9146348698 * tau] + 3.000e-8 * cos[0.39169917698 + 15.252471185 * tau] + 3.023e-8 * cos[2.24092938317 + 18073.7049386502 * tau] + 3.555e-8 * cos[1.4803694942 + 1059.3819301892 * tau] + 3.694e-8 * cos[2.48453945256 + 5661.3320491522 * tau] + 4.290e-8 * cos[0.0815480921 + 6283.0758499914 * tau] + 3.448e-8 * cos[1.77405651704 + 11322.6640983044 * tau] + 3.549e-8 * cos[6.19934345402 + 5.5229243074 * tau] + 4.882e-8 * cos[3.44515199115 + 11015.1064773348 * tau] + 4.084e-8 * cos[4.1210382603 + 18837.49819713819 * tau] + 6.697e-8 * cos[5.05673427795 + 801.8209311238 * tau] + 6.255e-8 * cos[4.08056644034 + 3154.6870848956 * tau] + 6.552e-8 * cos[2.28168808058 + 2352.8661537718 * tau] + 7.374e-8 * cos[4.3947676058 + 10206.1719992102 * tau] + 8.869e-8 * cos[0.95282732248 + 13367.9726311066 * tau] + 1.2563e-7 * cos[1.88122199199 + 382.8965322232 * tau] + 1.1627e-7 * cos[4.97604495371 + 213.299095438 * tau] + 1.2607e-7 * cos[1.24464400689 + 40853.142184844 * tau] + 1.4230e-7 * cos[5.45138233941 + 9153.9036160218 * tau] + 1.6510e-7 * cos[2.6433045264 + 7.1135470008 * tau] + 1.7772e-7 * cos[6.19369798901 + 1109.3785520934 * tau] + 2.5056e-7 * cos[6.10664792855 + 10404.7338123226 * tau] + 2.9633e-7 * cos[1.25056322354 + 5507.5532386674 * tau] + 3.8318e-7 * cos[1.03379038025 + 529.6909650946 * tau] + 5.2408e-7 * cos[3.60013087656 + 775.522611324 * tau] + 6.9734e-7 * cos[2.68136034979 + 9437.762934887 * tau] + 8.2233e-7 * cos[5.7023413373 + 191.4482661116 * tau] + 0.00000173904 * cos[2.65535879443 + 26.2983197998 * tau] + 0.00000151669 * cos[6.10635282369 + 1577.3435424478 * tau] + 0.00000213374 * cos[1.79547929368 + 30639.856638633 * tau] + 0.00014444977 * cos[0.51624564679 + 20426.571092422 * tau] + 0.00095707712 * cos[2.46424448979 + 10213.285546211 * tau] + 10213.52943052898 * cos[0.0 + 0.0 * tau]; L2 = 1.4e-10 * cos[3.6920522501 + 27511.4678735372 * tau] + 1.3e-10 * cos[5.79700427846 + 29580.4747084438 * tau] + 1.3e-10 * cos[4.72171283479 + 29864.334027309 * tau] + 1.4e-10 * cos[1.49084059765 + 30110.1656735384 * tau] + 1.9e-10 * cos[1.53770232218 + 28286.9904848612 * tau] + 1.8e-10 * cos[0.74039763161 + 25158.6017197654 * tau] + 2.2e-10 * cos[4.73565067573 + 10988.808157535 * tau] + 2.4e-10 * cos[0.14022912457 + 21202.093703746 * tau] + 3.3e-10 * cos[1.80059867635 + 20618.0193585336 * tau] + 2.9e-10 * cos[0.19383091192 + 19896.8801273274 * tau] + 3.1e-10 * cos[4.74511706231 + 28521.0927782546 * tau] + 3.5e-10 * cos[3.47325394141 + 24356.7807886416 * tau] + 3.5e-10 * cos[5.17462577483 + 29088.811415985 * tau] + 3.6e-10 * cos[3.16242472203 + 20452.8694122218 * tau] + 3.9e-10 * cos[5.05391675878 + 10742.9765113056 * tau] + 3.8e-10 * cos[0.52232581277 + 1551.045222648 * tau] + 4.7e-10 * cos[0.18498155367 + 18875.525869774 * tau] + 4.3e-10 * cos[5.98371820588 + 15720.8387848784 * tau] + 4.1e-10 * cos[3.36020411807 + 4705.7323075436 * tau] + 4.1e-10 * cos[3.83822107919 + 16496.3613962024 * tau] + 5.1e-10 * cos[4.52870390511 + 22003.9146348698 * tau] + 5.8e-10 * cos[5.1326370967 + 20400.2727726222 * tau] + 6.0e-10 * cos[5.02186497542 + 19367.1891622328 * tau] + 5.6e-10 * cos[6.26920407723 + 32217.2001810808 * tau] + 5.6e-10 * cos[4.11564786973 + 7064.1213856228 * tau] + 6.3e-10 * cos[5.39882267787 + 21228.3920235458 * tau] + 7.7e-10 * cos[3.75728548372 + 3723.508958923 * tau] + 8.2e-10 * cos[5.36280178643 + 10186.9872264112 * tau] + 6.9e-10 * cos[3.8640906586 + 51066.427731055 * tau] + 9.3e-10 * cos[4.99316908815 + 14945.3161735544 * tau] + 7.4e-10 * cos[2.35354025573 + 426.598190876 * tau] + 8.4e-10 * cos[4.89744332968 + 18307.8072320436 * tau] + 9.3e-10 * cos[5.48716819776 + 10021.8372800994 * tau] + 1.08e-9 * cos[2.25352052666 + 12566.1516999828 * tau] + 1.07e-9 * cos[0.35660030184 + 1059.3819301892 * tau] + 1.22e-9 * cos[5.92478855457 + 574.3447983348 * tau] + 1.26e-9 * cos[0.0985451614 + 18073.7049386502 * tau] + 1.19e-9 * cos[3.39375528828 + 11322.6640983044 * tau] + 1.34e-9 * cos[4.10529011674 + 17298.1823273262 * tau] + 1.40e-9 * cos[4.97015671653 + 14143.4952424306 * tau] + 1.94e-9 * cos[6.0119775947 + 7860.4193924392 * tau] + 1.96e-9 * cos[4.10467294392 + 11790.6290886588 * tau] + 2.43e-9 * cos[4.70747902991 + 6283.0758499914 * tau] + 2.60e-9 * cos[0.22761369281 + 2352.8661537718 * tau] + 2.12e-9 * cos[5.32697688872 + 18837.49819713819 * tau] + 3.01e-9 * cos[3.90047984197 + 10596.1820784342 * tau] + 3.55e-9 * cos[1.12061570874 + 9153.9036160218 * tau] + 3.89e-9 * cos[4.14116341739 + 8635.9420037632 * tau] + 4.31e-9 * cos[2.67159914364 + 13367.9726311066 * tau] + 6.02e-9 * cos[5.19220099775 + 7084.8967811152 * tau] + 5.78e-9 * cos[0.92614279843 + 10239.5838660108 * tau] + 5.25e-9 * cos[3.32087042103 + 213.299095438 * tau] + 7.42e-9 * cos[1.49198584483 + 1109.3785520934 * tau] + 9.55e-9 * cos[5.11133878923 + 801.8209311238 * tau] + 1.033e-8 * cos[3.52858472904 + 11015.1064773348 * tau] + 1.221e-8 * cos[3.73339139385 + 3154.6870848956 * tau] + 1.025e-8 * cos[1.40598904981 + 10404.7338123226 * tau] + 1.346e-8 * cos[2.94633106219 + 5507.5532386674 * tau] + 1.460e-8 * cos[6.04899046273 + 529.6909650946 * tau] + 1.934e-8 * cos[3.39287946981 + 382.8965322232 * tau] + 2.125e-8 * cos[2.65810625752 + 40853.142184844 * tau] + 3.163e-8 * cos[4.36095475762 + 9437.762934887 * tau] + 6.014e-8 * cos[0.99926757893 + 191.4482661116 * tau] + 7.046e-8 * cos[1.51962593409 + 1577.3435424478 * tau] + 9.984e-8 * cos[3.97130221102 + 775.522611324 * tau] + 1.9331e-7 * cos[3.53527371458 + 30639.856638633 * tau] + 2.3836e-7 * cos[2.04592119012 + 26.2983197998 * tau] + 0.0000133788 * cos[2.02011286082 + 20426.571092422 * tau] + 0.0000389146 * cos[0.34514360047 + 10213.285546211 * tau] + 0.00054127076 * cos[0.0 + 0.0 * tau]; L3 = 6e-11 * cos[5.76447068962 + 10239.5838660108 * tau] + 6e-11 * cos[1.27791479726 + 10404.7338123226 * tau] + 8e-11 * cos[1.40501229148 + 1577.3435424478 * tau] + 8e-11 * cos[5.55523563261 + 51066.427731055 * tau] + 2.54e-9 * cos[4.15021671822 + 40853.142184844 * tau] + 1.214e-8 * cos[5.31970006917 + 30639.856638633 * tau] + 2.6023e-7 * cos[0.0 + 0.0 * tau] + 7.7846e-7 * cos[3.66876371591 + 20426.571092422 * tau] + 0.00000135742 * cos[4.80389020993 + 10213.285546211 * tau]; L4 = 2.3e-10 * cos[5.68127607034 + 40853.142184844 * tau] + 5.0e-10 * cos[0.71356059861 + 30639.856638633 * tau] + 1.714e-8 * cos[2.51099591706 + 10213.285546211 * tau] + 3.209e-8 * cos[5.20514170164 + 20426.571092422 * tau] + 0.00000114016 * cos[3.14159265359 + 0.0 * tau]; L5 = 2e-11 * cos[1.89460223529 + 30639.856638633 * tau] + 2e-11 * cos[1.07734277826 + 40853.142184844 * tau] + 1.18e-9 * cos[1.90548541922 + 10213.285546211 * tau] + 1.17e-9 * cos[0.54643013 + 20426.571092422 * tau] + 8.74e-9 * cos[3.14159265359 + 0.0 * tau]; B0 = 5.1e-10 * cos[5.29186795569 + 29587.5882554446 * tau] + 4.0e-10 * cos[5.32101847424 + 42430.4857272918 * tau] + 5.4e-10 * cos[5.89684197257 + 19903.99367432819 * tau] + 4.7e-10 * cos[1.61630288856 + 30831.3049047446 * tau] + 5.2e-10 * cos[4.76610409132 + 57375.8019008462 * tau] + 5.2e-10 * cos[2.37192464233 + 29573.361161443 * tau] + 5.7e-10 * cos[2.30081371235 + 20529.66386664059 * tau] + 5.1e-10 * cos[3.07811180039 + 24150.080051345 * tau] + 6.1e-10 * cos[3.40726181591 + 27490.6924780448 * tau] + 6.6e-10 * cos[2.24746237999 + 74.7815985673 * tau] + 6.0e-10 * cos[5.8966189292 + 41962.5207369374 * tau] + 5.5e-10 * cos[4.70485939861 + 639.897286314 * tau] + 5.4e-10 * cos[1.78260668333 + 40077.61957352 * tau] + 5.8e-10 * cos[2.98524209824 + 19889.76658032659 * tau] + 6.4e-10 * cos[5.83569051301 + 2118.7638603784 * tau] + 5.8e-10 * cos[2.14482855875 + 8631.326197928 * tau] + 7.5e-10 * cos[2.27327165974 + 8521.1198767086 * tau] + 7.5e-10 * cos[0.36155638007 + 39302.096962196 * tau] + 6.6e-10 * cos[0.76731351736 + 20.7753954924 * tau] + 6.8e-10 * cos[2.7176293667 + 16983.9961474566 * tau] + 8.0e-10 * cos[5.62254102739 + 29999.959352319 * tau] + 9.4e-10 * cos[0.17063414792 + 6872.6731195112 * tau] + 9.7e-10 * cos[0.772950916 + 18307.8072320436 * tau] + 8.1e-10 * cos[2.26235214191 + 3903.9113764198 * tau] + 8.5e-10 * cos[3.82784790321 + 51868.2486621788 * tau] + 9.1e-10 * cos[2.48874147947 + 10846.0692855242 * tau] + 8.0e-10 * cos[4.23724598221 + 10007.0999977738 * tau] + 8.1e-10 * cos[5.25045057985 + 10419.4710946482 * tau] + 7.4e-10 * cos[6.0268009555 + 3723.508958923 * tau] + 9.0e-10 * cos[0.39668501735 + 9580.5018068978 * tau] + 9.0e-10 * cos[2.12423586627 + 28313.288804661 * tau] + 1.03e-9 * cos[5.2268323762 + 103.0927742186 * tau] + 8.2e-10 * cos[0.85628515615 + 2379.1644735716 * tau] + 8.9e-10 * cos[2.53312656681 + 10735.8629643048 * tau] + 1.15e-9 * cos[3.76443612245 + 522.5774180938 * tau] + 1.01e-9 * cos[0.83318284426 + 6489.776587288 * tau] + 9.6e-10 * cos[1.52914774412 + 9690.7081281172 * tau] + 9.2e-10 * cos[5.46204624886 + 11764.330768859 * tau] + 9.4e-10 * cos[0.71308489207 + 38500.2760310722 * tau] + 9.5e-10 * cos[5.03917884334 + 52175.8062831484 * tau] + 1.37e-9 * cos[2.9335065946 + 47162.5163546352 * tau] + 1.27e-9 * cos[3.86278127025 + 10138.5039476437 * tau] + 1.27e-9 * cos[5.63110477712 + 10288.0671447783 * tau] + 1.01e-9 * cos[3.17012502017 + 19317.1925403286 * tau] + 1.38e-9 * cos[1.0691923924 + 65236.2212932854 * tau] + 1.08e-9 * cos[0.55230439694 + 10193.61578531121 * tau] + 1.08e-9 * cos[2.65839634325 + 10232.95530711079 * tau] + 1.15e-9 * cos[2.53355582059 + 26735.9452622132 * tau] + 1.20e-9 * cos[0.36076947165 + 536.8045120954 * tau] + 1.11e-9 * cos[2.5207763476 + 13936.794505134 * tau] + 1.33e-9 * cos[2.90682399304 + 9793.8009023358 * tau] + 1.23e-9 * cos[2.33714216061 + 10316.3783204296 * tau] + 1.22e-9 * cos[1.59017183044 + 10110.1927719924 * tau] + 1.21e-9 * cos[1.32802112907 + 38734.3783244656 * tau] + 1.31e-9 * cos[0.89697384735 + 3442.5749449654 * tau] + 1.31e-9 * cos[3.11317801589 + 9896.8936765544 * tau] + 1.27e-9 * cos[5.14447758616 + 5481.2549188676 * tau] + 1.39e-9 * cos[4.12576475427 + 36301.18868778519 * tau] + 1.39e-9 * cos[0.87847805052 + 16522.6597160022 * tau] + 1.37e-9 * cos[5.61149803116 + 10529.6774158676 * tau] + 1.69e-9 * cos[0.37000676558 + 10459.1171924404 * tau] + 1.63e-9 * cos[4.29160537719 + 36949.2308084242 * tau] + 1.74e-9 * cos[2.84049662693 + 9967.4538999816 * tau] + 1.95e-9 * cos[1.51901264131 + 43232.3066584156 * tau] + 1.73e-9 * cos[3.35235705827 + 53445.5922046266 * tau] + 1.80e-9 * cos[3.72646417141 + 1551.045222648 * tau] + 1.99e-9 * cos[1.1643332188 + 22805.7355659936 * tau] + 1.80e-9 * cos[6.19353087076 + 39793.7602546548 * tau] + 1.92e-9 * cos[1.69321442572 + 13341.6743113068 * tau] + 1.96e-9 * cos[1.5061039379 + 31749.2351907264 * tau] + 2.51e-9 * cos[2.84739274245 + 33019.0211122046 * tau] + 2.24e-9 * cos[6.24561979789 + 7064.1213856228 * tau] + 2.34e-9 * cos[3.52866583267 + 10228.538017396 * tau] + 2.35e-9 * cos[5.96522395118 + 10198.033075026 * tau] + 2.23e-9 * cos[2.50591724074 + 26709.6469424134 * tau] + 3.06e-9 * cos[5.28903794869 + 382.8965322232 * tau] + 2.73e-9 * cos[5.12740051559 + 35371.8872659764 * tau] + 2.65e-9 * cos[4.81168402147 + 20235.1228263104 * tau] + 2.80e-9 * cos[1.92925047377 + 49515.382508407 * tau] + 2.79e-9 * cos[4.29871615943 + 19999.97290154599 * tau] + 2.86e-9 * cos[5.16408902215 + 426.598190876 * tau] + 2.63e-9 * cos[0.55328410985 + 36147.4098773004 * tau] + 3.14e-9 * cos[0.02584607093 + 13745.3462390224 * tau] + 2.72e-9 * cos[5.56183082489 + 16496.3613962024 * tau] + 3.77e-9 * cos[3.98143308775 + 21202.093703746 * tau] + 2.94e-9 * cos[0.75089224483 + 3149.1641605882 * tau] + 3.11e-9 * cos[2.57334132897 + 20809.4676246452 * tau] + 2.96e-9 * cos[2.83205515646 + 17277.4069318338 * tau] + 3.33e-9 * cos[4.44969281739 + 28521.0927782546 * tau] + 3.49e-9 * cos[4.20550749672 + 20956.2620575166 * tau] + 3.28e-9 * cos[3.7842737891 + 6681.2248533996 * tau] + 3.55e-9 * cos[5.56672554631 + 18837.49819713819 * tau] + 3.51e-9 * cos[4.3402657449 + 10137.0194749354 * tau] + 5.05e-9 * cos[3.70047474212 + 20400.2727726222 * tau] + 4.83e-9 * cos[1.87898057316 + 51066.427731055 * tau] + 5.24e-9 * cos[0.97991794166 + 30110.1656735384 * tau] + 4.94e-9 * cos[3.74345863918 + 31441.6775697568 * tau] + 4.95e-9 * cos[0.49175293655 + 45585.1728121874 * tau] + 4.27e-9 * cos[3.76876868949 + 11272.6674764002 * tau] + 4.93e-9 * cos[4.79939382739 + 9146.790069021 * tau] + 4.84e-9 * cos[4.18538027381 + 14919.0178537546 * tau] + 5.38e-9 * cos[4.56198493922 + 10063.7223490764 * tau] + 5.14e-9 * cos[5.78413007838 + 12592.4500197826 * tau] + 5.18e-9 * cos[4.96996115446 + 30213.258447757 * tau] + 5.69e-9 * cos[1.65498800378 + 39264.0692895602 * tau] + 5.27e-9 * cos[4.01994270827 + 18849.2275499742 * tau] + 5.42e-9 * cos[1.34665646732 + 29088.811415985 * tau] + 5.24e-9 * cos[2.3979424867 + 26087.9031415742 * tau] + 6.08e-9 * cos[1.25236241968 + 10175.2578735752 * tau] + 5.69e-9 * cos[3.34601425125 + 3340.6124266998 * tau] + 5.10e-9 * cos[1.41065159851 + 9161.0171630226 * tau] + 5.74e-9 * cos[0.43813688572 + 17085.9586657222 * tau] + 5.15e-9 * cos[1.03001478293 + 22779.4372461938 * tau] + 6.37e-9 * cos[6.17053891156 + 10220.3990932118 * tau] + 7.20e-9 * cos[3.84286345199 + 10207.7626219036 * tau] + 6.13e-9 * cos[5.9973118069 + 4732.0306273434 * tau] + 7.26e-9 * cos[6.16683781802 + 18875.525869774 * tau] + 6.05e-9 * cos[2.4233039112 + 10251.3132188468 * tau] + 6.39e-9 * cos[5.37566437358 + 1589.0728952838 * tau] + 6.72e-9 * cos[6.23429601219 + 14765.2390432698 * tau] + 7.19e-9 * cos[6.11596800207 + 10218.8084705184 * tau] + 7.00e-9 * cos[1.98097957188 + 3930.2096962196 * tau] + 7.50e-9 * cos[3.85219782842 + 21228.3920235458 * tau] + 8.02e-9 * cos[5.3723489252 + 10497.1448650762 * tau] + 8.01e-9 * cos[4.62406152514 + 9929.4262273458 * tau] + 7.57e-9 * cos[6.25904553773 + 20452.8694122218 * tau] + 8.58e-9 * cos[5.34692750735 + 41654.9631159678 * tau] + 7.92e-9 * cos[5.39686899735 + 24356.7807886416 * tau] + 8.46e-9 * cos[0.01566400887 + 3128.3887650958 * tau] + 9.62e-9 * cos[0.48573513747 + 23958.6317852334 * tau] + 1.044e-8 * cos[1.98055689074 + 10596.1820784342 * tau] + 9.68e-9 * cos[6.18496721871 + 25158.6017197654 * tau] + 1.047e-8 * cos[4.56525030769 + 20419.45754542119 * tau] + 1.005e-8 * cos[2.38429892132 + 27511.4678735372 * tau] + 1.201e-8 * cos[0.81913312536 + 8094.5216858326 * tau] + 1.143e-8 * cos[3.20596958337 + 3532.0606928114 * tau] + 1.036e-8 * cos[1.16719443387 + 8662.240323563 * tau] + 1.041e-8 * cos[5.38535116069 + 7.1135470008 * tau] + 1.064e-8 * cos[1.98891375536 + 26.2983197998 * tau] + 1.111e-8 * cos[1.20276209213 + 9573.388259897 * tau] + 1.224e-8 * cos[5.55090394449 + 5661.3320491522 * tau] + 1.200e-8 * cos[1.48282382657 + 9830.3890139878 * tau] + 1.546e-8 * cos[4.70759186462 + 14945.3161735544 * tau] + 1.538e-8 * cos[2.1730957708 + 21535.9496445154 * tau] + 1.562e-8 * cos[3.93962080463 + 37724.7534197482 * tau] + 2.010e-8 * cos[0.75702888128 + 9999.986450773 * tau] + 1.491e-8 * cos[4.64883377941 + 1109.3785520934 * tau] + 1.660e-8 * cos[5.42775825275 + 32217.2001810808 * tau] + 1.742e-8 * cos[1.48394229233 + 7058.5984613154 * tau] + 2.229e-8 * cos[2.22457598233 + 10426.584641649 * tau] + 2.246e-8 * cos[0.82112963936 + 28286.9904848612 * tau] + 2.625e-8 * cos[4.24272906574 + 213.299095438 * tau] + 2.593e-8 * cos[5.73113176751 + 20213.271996984 * tau] + 2.462e-8 * cos[5.05790874754 + 29050.7837433492 * tau] + 2.559e-8 * cos[4.58043833032 + 801.8209311238 * tau] + 3.048e-8 * cos[2.5108514699 + 33794.5437235286 * tau] + 2.813e-8 * cos[0.29951755546 + 9411.4646150872 * tau] + 3.266e-8 * cos[0.97517223854 + 23581.2581773176 * tau] + 3.641e-8 * cos[2.61501257205 + 15874.6175953632 * tau] + 3.579e-8 * cos[0.73789669235 + 4551.9534970588 * tau] + 3.798e-8 * cos[6.06410995916 + 10234.0609417034 * tau] + 3.797e-8 * cos[3.89520601076 + 10192.5101507186 * tau] + 3.942e-8 * cos[5.68758787835 + 10206.1719992102 * tau] + 4.070e-8 * cos[5.5879814474 + 12566.1516999828 * tau] + 5.289e-8 * cos[4.99182712443 + 7084.8967811152 * tau] + 4.796e-8 * cos[3.86676184909 + 7860.4193924392 * tau] + 6.000e-8 * cos[3.57639095526 + 3154.6870848956 * tau] + 5.204e-8 * cos[3.42528906628 + 9103.9069941176 * tau] + 6.155e-8 * cos[2.424139469 + 4705.7323075436 * tau] + 6.186e-8 * cos[4.92498052443 + 19367.1891622328 * tau] + 6.228e-8 * cos[1.13312070908 + 29864.334027309 * tau] + 6.983e-8 * cos[3.44920932146 + 17298.1823273262 * tau] + 5.955e-8 * cos[4.92235372433 + 1059.3819301892 * tau] + 6.050e-8 * cos[6.26541665966 + 11322.6640983044 * tau] + 8.148e-8 * cos[1.30548515603 + 15720.8387848784 * tau] + 9.763e-8 * cos[0.14614896296 + 20618.0193585336 * tau] + 8.583e-8 * cos[0.43182249199 + 9786.687355335 * tau] + 1.3129e-7 * cos[5.70735942511 + 9683.5945811164 * tau] + 9.484e-8 * cos[2.75167834335 + 191.4482661116 * tau] + 1.1466e-7 * cos[5.12780364967 + 6283.0758499914 * tau] + 1.1827e-7 * cos[1.190709196 + 8624.2126509272 * tau] + 1.1962e-7 * cos[3.57604253827 + 10742.9765113056 * tau] + 1.2936e-7 * cos[5.42651448496 + 29580.4747084438 * tau] + 1.5407e-7 * cos[3.29563855296 + 11015.1064773348 * tau] + 1.8579e-7 * cos[1.80529277514 + 40853.142184844 * tau] + 1.4949e-7 * cos[5.61075168206 + 10404.7338123226 * tau] + 1.7835e-7 * cos[5.96268643102 + 25934.1243310894 * tau] + 1.6976e-7 * cos[4.13711782135 + 10021.8372800994 * tau] + 2.0653e-7 * cos[0.98666685459 + 775.522611324 * tau] + 2.1809e-7 * cos[2.69701424951 + 19651.048481098 * tau] + 2.3500e-7 * cos[2.00770618322 + 13367.9726311066 * tau] + 2.3711e-7 * cos[2.90646621218 + 10988.808157535 * tau] + 3.3320e-7 * cos[4.83194909595 + 14143.4952424306 * tau] + 3.9175e-7 * cos[3.94960351174 + 529.6909650946 * tau] + 3.9644e-7 * cos[3.86842095901 + 8635.9420037632 * tau] + 4.1700e-7 * cos[5.99126845246 + 19896.8801273274 * tau] + 4.3491e-7 * cos[6.14015776699 + 11790.6290886588 * tau] + 3.8855e-7 * cos[2.93437865147 + 10186.9872264112 * tau] + 4.5617e-7 * cos[0.72319641722 + 10239.5838660108 * tau] + 5.2982e-7 * cos[2.28138172277 + 5507.5532386674 * tau] + 9.2029e-7 * cos[1.53954562706 + 9153.9036160218 * tau] + 0.00000107971 * cos[4.53903677647 + 22003.9146348698 * tau] + 0.00000119507 * cos[3.70468812804 + 2352.8661537718 * tau] + 0.00000129973 * cos[3.67152483651 + 9437.762934887 * tau] + 0.00000137788 * cos[0.86020146523 + 1577.3435424478 * tau] + 0.00000149458 * cos[6.25390296069 + 18073.7049386502 * tau] + 0.00001011392 * cos[1.08946123021 + 30639.856638633 * tau] + 0.00032814918 * cos[3.14159265359 + 0.0 * tau] + 0.00040107978 * cos[1.14737178106 + 20426.571092422 * tau] + 0.05923638472 * cos[0.26702775813 + 10213.285546211 * tau]; B1 = 1.9e-10 * cos[5.04938942644 + 6681.2248533996 * tau] + 2.2e-10 * cos[1.92092469688 + 17085.9586657222 * tau] + 2.3e-10 * cos[0.90416640595 + 8094.5216858326 * tau] + 2.0e-10 * cos[4.0334440068 + 29573.361161443 * tau] + 2.0e-10 * cos[4.01315480107 + 26709.6469424134 * tau] + 2.2e-10 * cos[4.64142978776 + 19889.76658032659 * tau] + 2.3e-10 * cos[0.62711494266 + 35371.8872659764 * tau] + 2.3e-10 * cos[3.76162101633 + 10251.3132188468 * tau] + 2.2e-10 * cos[0.69625017371 + 19999.97290154599 * tau] + 2.3e-10 * cos[2.59067946967 + 10175.2578735752 * tau] + 3.3e-10 * cos[0.40689057274 + 10497.1448650762 * tau] + 3.4e-10 * cos[5.94541303751 + 9929.4262273458 * tau] + 2.7e-10 * cos[4.44250239485 + 17277.4069318338 * tau] + 3.6e-10 * cos[5.41167321573 + 522.5774180938 * tau] + 3.4e-10 * cos[0.12963030501 + 30213.258447757 * tau] + 3.3e-10 * cos[4.96183427323 + 536.8045120954 * tau] + 4.1e-10 * cos[3.16744909855 + 39264.0692895602 * tau] + 4.4e-10 * cos[1.7812329486 + 426.598190876 * tau] + 4.0e-10 * cos[6.13293942728 + 26087.9031415742 * tau] + 3.5e-10 * cos[2.24417218267 + 16496.3613962024 * tau] + 3.3e-10 * cos[3.98241699279 + 4732.0306273434 * tau] + 3.8e-10 * cos[5.91928287144 + 28521.0927782546 * tau] + 4.1e-10 * cos[1.21289342964 + 12592.4500197826 * tau] + 4.2e-10 * cos[0.43005959574 + 1589.0728952838 * tau] + 3.8e-10 * cos[4.15337829669 + 18849.2275499742 * tau] + 3.6e-10 * cos[5.24409311105 + 3149.1641605882 * tau] + 4.7e-10 * cos[2.03402044389 + 23958.6317852334 * tau] + 4.7e-10 * cos[1.25473247769 + 33019.0211122046 * tau] + 5.0e-10 * cos[4.16651052942 + 13341.6743113068 * tau] + 4.6e-10 * cos[5.49443476235 + 31441.6775697568 * tau] + 6.1e-10 * cos[3.27309494322 + 49515.382508407 * tau] + 5.8e-10 * cos[6.20761936031 + 29088.811415985 * tau] + 5.1e-10 * cos[4.22406663447 + 20809.4676246452 * tau] + 5.6e-10 * cos[2.97733070198 + 30110.1656735384 * tau] + 6.7e-10 * cos[1.42090542131 + 24356.7807886416 * tau] + 5.3e-10 * cos[3.21969389511 + 20452.8694122218 * tau] + 7.2e-10 * cos[2.35312965005 + 9103.9069941176 * tau] + 6.2e-10 * cos[0.81341290651 + 382.8965322232 * tau] + 7.7e-10 * cos[1.8551635895 + 3532.0606928114 * tau] + 6.1e-10 * cos[3.80043027736 + 11272.6674764002 * tau] + 8.9e-10 * cos[0.64100435648 + 3154.6870848956 * tau] + 6.6e-10 * cos[3.25826124156 + 1109.3785520934 * tau] + 9.3e-10 * cos[1.85466268819 + 45585.1728121874 * tau] + 7.7e-10 * cos[2.00173927326 + 10228.538017396 * tau] + 7.7e-10 * cos[5.5013231061 + 5661.3320491522 * tau] + 8.3e-10 * cos[0.19985600927 + 14919.0178537546 * tau] + 8.5e-10 * cos[6.04057728058 + 21202.093703746 * tau] + 8.2e-10 * cos[1.45863866349 + 10207.7626219036 * tau] + 9.6e-10 * cos[1.21744230443 + 10198.033075026 * tau] + 9.6e-10 * cos[1.49631428731 + 7084.8967811152 * tau] + 1.16e-9 * cos[0.61940521198 + 41654.9631159678 * tau] + 1.17e-9 * cos[0.14681677884 + 9146.790069021 * tau] + 1.33e-9 * cos[1.78047296245 + 191.4482661116 * tau] + 1.09e-9 * cos[5.21220660788 + 8662.240323563 * tau] + 1.13e-9 * cos[3.64412860654 + 7.1135470008 * tau] + 1.64e-9 * cos[3.30849473132 + 51066.427731055 * tau] + 1.17e-9 * cos[6.18296175153 + 20400.2727726222 * tau] + 1.57e-9 * cos[5.44507403858 + 4705.7323075436 * tau] + 1.72e-9 * cos[6.13435208788 + 18837.49819713819 * tau] + 1.46e-9 * cos[4.69869606856 + 25158.6017197654 * tau] + 1.26e-9 * cos[2.62296638037 + 22779.4372461938 * tau] + 1.39e-9 * cos[4.42330401713 + 10220.3990932118 * tau] + 1.31e-9 * cos[1.51959002513 + 10218.8084705184 * tau] + 1.29e-9 * cos[2.08748660996 + 3128.3887650958 * tau] + 1.63e-9 * cos[5.4551913476 + 10426.584641649 * tau] + 1.57e-9 * cos[5.98474214437 + 26.2983197998 * tau] + 1.74e-9 * cos[1.33676849359 + 32217.2001810808 * tau] + 1.53e-9 * cos[4.07656151671 + 27511.4678735372 * tau] + 1.95e-9 * cos[5.472408554 + 37724.7534197482 * tau] + 1.72e-9 * cos[6.12653050186 + 9161.0171630226 * tau] + 2.17e-9 * cos[0.88382111135 + 20213.271996984 * tau] + 2.25e-9 * cos[5.7688889632 + 213.299095438 * tau] + 2.02e-9 * cos[3.56872121409 + 21535.9496445154 * tau] + 2.47e-9 * cos[3.07626728158 + 28286.9904848612 * tau] + 2.20e-9 * cos[2.37315851889 + 4551.9534970588 * tau] + 2.65e-9 * cos[4.02431894973 + 33794.5437235286 * tau] + 2.32e-9 * cos[3.0784585003 + 12566.1516999828 * tau] + 2.83e-9 * cos[6.12133736787 + 20419.45754542119 * tau] + 2.90e-9 * cos[0.10953964861 + 29050.7837433492 * tau] + 2.61e-9 * cos[3.48196147279 + 7058.5984613154 * tau] + 2.69e-9 * cos[0.00589873499 + 9830.3890139878 * tau] + 2.69e-9 * cos[2.39650266204 + 801.8209311238 * tau] + 3.31e-9 * cos[4.89498986674 + 10206.1719992102 * tau] + 3.08e-9 * cos[4.90145899142 + 3930.2096962196 * tau] + 3.46e-9 * cos[0.94242286364 + 1059.3819301892 * tau] + 3.10e-9 * cos[5.45422332781 + 10192.5101507186 * tau] + 3.49e-9 * cos[1.31468836511 + 10234.0609417034 * tau] + 4.40e-9 * cos[4.33400244581 + 15874.6175953632 * tau] + 3.74e-9 * cos[3.76878356974 + 21228.3920235458 * tau] + 4.58e-9 * cos[2.31894399069 + 9999.986450773 * tau] + 3.47e-9 * cos[2.3455106268 + 9411.4646150872 * tau] + 4.77e-9 * cos[3.71554345922 + 10596.1820784342 * tau] + 4.78e-9 * cos[3.94100005156 + 775.522611324 * tau] + 4.56e-9 * cos[5.01205315518 + 10742.9765113056 * tau] + 5.03e-9 * cos[2.65840772485 + 29864.334027309 * tau] + 4.72e-9 * cos[1.696726292 + 17298.1823273262 * tau] + 4.76e-9 * cos[6.17672999981 + 11015.1064773348 * tau] + 5.32e-9 * cos[5.10925676528 + 9786.687355335 * tau] + 6.09e-9 * cos[2.62364470139 + 23581.2581773176 * tau] + 9.91e-9 * cos[0.5531987933 + 19367.1891622328 * tau] + 9.13e-9 * cos[0.76046003719 + 8635.9420037632 * tau] + 8.05e-9 * cos[0.53331923557 + 8624.2126509272 * tau] + 9.73e-9 * cos[0.39071758442 + 6283.0758499914 * tau] + 9.65e-9 * cos[1.36425494833 + 9683.5945811164 * tau] + 9.23e-9 * cos[2.25384969096 + 10021.8372800994 * tau] + 1.115e-8 * cos[0.6674369038 + 29580.4747084438 * tau] + 1.165e-8 * cos[6.13437155401 + 7860.4193924392 * tau] + 9.93e-9 * cos[1.74681248965 + 11322.6640983044 * tau] + 1.341e-8 * cos[2.90077139758 + 15720.8387848784 * tau] + 1.539e-8 * cos[1.21683853657 + 25934.1243310894 * tau] + 1.600e-8 * cos[1.68378002982 + 20618.0193585336 * tau] + 1.786e-8 * cos[0.37134513186 + 13367.9726311066 * tau] + 2.884e-8 * cos[0.08549582037 + 14143.4952424306 * tau] + 3.479e-8 * cos[5.5079700216 + 529.6909650946 * tau] + 3.555e-8 * cos[1.25927550356 + 19896.8801273274 * tau] + 3.390e-8 * cos[4.88976070903 + 10988.808157535 * tau] + 3.783e-8 * cos[4.33004753984 + 19651.048481098 * tau] + 4.657e-8 * cos[0.75073886819 + 5507.5532386674 * tau] + 3.975e-8 * cos[1.28397121206 + 10404.7338123226 * tau] + 4.399e-8 * cos[3.58872736593 + 40853.142184844 * tau] + 4.669e-8 * cos[3.87801635015 + 10239.5838660108 * tau] + 7.514e-8 * cos[5.0808188599 + 10186.9872264112 * tau] + 8.031e-8 * cos[0.29371105198 + 9153.9036160218 * tau] + 7.441e-8 * cos[1.50257909439 + 11790.6290886588 * tau] + 9.294e-8 * cos[6.07545631303 + 22003.9146348698 * tau] + 1.0324e-7 * cos[5.24224313355 + 2352.8661537718 * tau] + 1.1941e-7 * cos[5.60462450426 + 1577.3435424478 * tau] + 1.2958e-7 * cos[1.50735622957 + 18073.7049386502 * tau] + 1.4031e-7 * cos[2.27087044687 + 9437.762934887 * tau] + 0.00000199162 * cos[0.0 + 0.0 * tau] + 0.00000196586 * cos[2.53001197486 + 30639.856638633 * tau] + 0.000043801 * cos[3.38615711591 + 20426.571092422 * tau] + 0.00513347602 * cos[1.80364310797 + 10213.285546211 * tau]; B2 = 1.1e-10 * cos[1.46728576671 + 20419.45754542119 * tau] + 1.0e-10 * cos[0.26447399758 + 3930.2096962196 * tau] + 1.1e-10 * cos[4.23048200054 + 29864.334027309 * tau] + 1.1e-10 * cos[0.85773045784 + 17298.1823273262 * tau] + 1.0e-10 * cos[4.9813806749 + 10426.584641649 * tau] + 1.5e-10 * cos[1.42027402522 + 29050.7837433492 * tau] + 1.3e-10 * cos[5.04826725887 + 7.1135470008 * tau] + 1.2e-10 * cos[3.24834347355 + 9103.9069941176 * tau] + 1.4e-10 * cos[5.43035907265 + 26.2983197998 * tau] + 1.4e-10 * cos[0.05074160195 + 7860.4193924392 * tau] + 1.3e-10 * cos[3.40362915274 + 1059.3819301892 * tau] + 1.9e-10 * cos[2.73486845601 + 3128.3887650958 * tau] + 2.0e-10 * cos[5.29318634138 + 775.522611324 * tau] + 2.4e-10 * cos[2.1720810785 + 18849.2275499742 * tau] + 2.0e-10 * cos[5.66581696952 + 21228.3920235458 * tau] + 2.7e-10 * cos[2.17187621336 + 8635.9420037632 * tau] + 2.7e-10 * cos[4.3114017935 + 23581.2581773176 * tau] + 2.7e-10 * cos[4.83867137637 + 9830.3890139878 * tau] + 3.4e-10 * cos[1.22706917271 + 10021.8372800994 * tau] + 3.8e-10 * cos[1.88638747393 + 801.8209311238 * tau] + 3.4e-10 * cos[2.25809144959 + 29580.4747084438 * tau] + 3.4e-10 * cos[0.55287110072 + 11015.1064773348 * tau] + 3.7e-10 * cos[2.79630938717 + 25934.1243310894 * tau] + 3.3e-10 * cos[4.5574866034 + 10742.9765113056 * tau] + 3.9e-10 * cos[3.14348236386 + 9411.4646150872 * tau] + 3.6e-10 * cos[4.41006216127 + 51066.427731055 * tau] + 3.9e-10 * cos[5.84340580032 + 10220.3990932118 * tau] + 3.8e-10 * cos[4.55053233088 + 9999.986450773 * tau] + 4.4e-10 * cos[2.34401612969 + 19367.1891622328 * tau] + 4.4e-10 * cos[0.58444963462 + 10206.1719992102 * tau] + 5.5e-10 * cos[4.82369879741 + 7058.5984613154 * tau] + 9.0e-10 * cos[5.23585072275 + 10596.1820784342 * tau] + 8.7e-10 * cos[3.28265082435 + 11322.6640983044 * tau] + 1.28e-9 * cos[5.32400510939 + 13367.9726311066 * tau] + 1.15e-9 * cos[3.23636374193 + 20618.0193585336 * tau] + 1.06e-9 * cos[2.28289033017 + 6283.0758499914 * tau] + 1.09e-9 * cos[2.01866665583 + 14143.4952424306 * tau] + 1.55e-9 * cos[2.54824315372 + 9683.5945811164 * tau] + 1.57e-9 * cos[0.65774905071 + 529.6909650946 * tau] + 1.59e-9 * cos[2.78191550878 + 19896.8801273274 * tau] + 1.64e-9 * cos[5.41790158607 + 5507.5532386674 * tau] + 1.50e-9 * cos[4.58623687118 + 15720.8387848784 * tau] + 3.54e-9 * cos[5.12509281266 + 9153.9036160218 * tau] + 3.75e-9 * cos[1.31319959789 + 22003.9146348698 * tau] + 3.60e-9 * cos[6.0174784232 + 19651.048481098 * tau] + 4.31e-9 * cos[4.00778431184 + 1577.3435424478 * tau] + 3.74e-9 * cos[6.10468482446 + 9437.762934887 * tau] + 4.54e-9 * cos[2.79306867629 + 10404.7338123226 * tau] + 5.40e-9 * cos[3.11657836329 + 18073.7049386502 * tau] + 5.38e-9 * cos[0.57550272342 + 2352.8661537718 * tau] + 5.15e-9 * cos[6.12821215207 + 10988.808157535 * tau] + 5.92e-9 * cos[5.22270440328 + 40853.142184844 * tau] + 7.88e-9 * cos[4.36515965295 + 10239.5838660108 * tau] + 6.85e-9 * cos[3.19139067811 + 11790.6290886588 * tau] + 1.174e-8 * cos[0.09768632072 + 10186.9872264112 * tau] + 2.6945e-7 * cos[3.87040891568 + 30639.856638633 * tau] + 0.00000173164 * cos[5.25563766915 + 20426.571092422 * tau] + 0.00000281739 * cos[0.0 + 0.0 * tau] + 0.00022377665 * cos[3.38509143877 + 10213.285546211 * tau]; B3 = 6e-11 * cos[2.97926526705 + 22003.9146348698 * tau] + 7e-11 * cos[4.69592781899 + 18073.7049386502 * tau] + 9e-11 * cos[1.36283915068 + 19651.048481098 * tau] + 1.1e-10 * cos[4.33056892256 + 10404.7338123226 * tau] + 1.7e-10 * cos[2.05293621864 + 2352.8661537718 * tau] + 2.5e-10 * cos[5.60599130442 + 9437.762934887 * tau] + 2.6e-10 * cos[1.02068113372 + 10988.808157535 * tau] + 3.1e-10 * cos[4.72523061067 + 11790.6290886588 * tau] + 5.8e-10 * cos[5.7073117655 + 10239.5838660108 * tau] + 5.6e-10 * cos[0.63647808442 + 40853.142184844 * tau] + 7.9e-10 * cos[1.51447613604 + 10186.9872264112 * tau] + 2.526e-8 * cos[5.4449376302 + 30639.856638633 * tau] + 5.540e-8 * cos[0.77376923951 + 20426.571092422 * tau] + 1.9952e-7 * cos[3.14159265359 + 0.0 * tau] + 0.00000646671 * cos[4.99166565277 + 10213.285546211 * tau]; B4 = 4e-11 * cos[2.34190883009 + 40853.142184844 * tau] + 2.14e-9 * cos[3.14159265359 + 0.0 * tau] + 1.64e-9 * cos[0.74476215141 + 30639.856638633 * tau] + 1.90e-9 * cos[2.35466404492 + 20426.571092422 * tau] + 1.4102e-7 * cos[0.31537190181 + 10213.285546211 * tau]; B5 = 9e-11 * cos[2.32953116868 + 30639.856638633 * tau] + 1.1e-10 * cos[3.82500275251 + 20426.571092422 * tau] + 3.9e-10 * cos[0.0 + 0.0 * tau] + 2.39e-9 * cos[2.05201727566 + 10213.285546211 * tau]; R0 = 2.6e-10 * cos[5.36096904409 + 1478.8665740644 * tau] + 3.0e-10 * cos[3.34585843979 + 39793.7602546548 * tau] + 2.8e-10 * cos[2.38858990128 + 20235.1228263104 * tau] + 3.2e-10 * cos[5.46972716255 + 64607.84893354619 * tau] + 3.4e-10 * cos[3.92498967835 + 536.8045120954 * tau] + 2.8e-10 * cos[2.32945945641 + 11392.4800852506 * tau] + 3.9e-10 * cos[4.50883171158 + 16004.6981037436 * tau] + 3.4e-10 * cos[5.22945947227 + 8673.969676399 * tau] + 3.2e-10 * cos[0.21932095318 + 24978.5245894808 * tau] + 2.9e-10 * cos[1.40019042576 + 9988.9407505091 * tau] + 2.9e-10 * cos[3.36506645849 + 10288.0671447783 * tau] + 3.0e-10 * cos[1.32113757427 + 574.3447983348 * tau] + 3.5e-10 * cos[4.0563432129 + 19903.99367432819 * tau] + 3.1e-10 * cos[4.51793347997 + 2957.7158944766 * tau] + 2.9e-10 * cos[1.30367701539 + 20103.06567576459 * tau] + 3.0e-10 * cos[4.42039942947 + 10459.1171924404 * tau] + 3.1e-10 * cos[0.68615213145 + 10202.2398459471 * tau] + 3.1e-10 * cos[5.98191446392 + 24341.5283174566 * tau] + 3.2e-10 * cos[3.3296078187 + 71519.2971432768 * tau] + 3.1e-10 * cos[5.59148330297 + 10639.883737087 * tau] + 3.5e-10 * cos[1.09353675147 + 69159.80243060499 * tau] + 3.4e-10 * cos[0.7649366411 + 55798.4583583984 * tau] + 3.4e-10 * cos[1.82989750626 + 17675.0234927304 * tau] + 3.5e-10 * cos[2.34112124655 + 58946.51688439399 * tau] + 3.9e-10 * cos[0.52064327313 + 26709.6469424134 * tau] + 3.7e-10 * cos[5.29642935562 + 38.0276726358 * tau] + 3.6e-10 * cos[4.96702216961 + 36301.18868778519 * tau] + 4.0e-10 * cos[1.97645050921 + 32243.4985008806 * tau] + 4.6e-10 * cos[5.06978748275 + 20350.3050211464 * tau] + 4.2e-10 * cos[6.05968230173 + 105460.99111839019 * tau] + 4.9e-10 * cos[1.2133595942 + 9721.6222537522 * tau] + 3.6e-10 * cos[1.2509171162 + 10323.4918674304 * tau] + 5.1e-10 * cos[2.71698589018 + 94325.0327092704 * tau] + 4.0e-10 * cos[3.66961416802 + 10198.033075026 * tau] + 4.7e-10 * cos[1.78672260794 + 10401.2106939736 * tau] + 5.2e-10 * cos[1.18164377451 + 10211.8010735027 * tau] + 3.9e-10 * cos[0.70253732683 + 18093.37469954999 * tau] + 5.2e-10 * cos[1.29052331493 + 90394.82301305079 * tau] + 4.1e-10 * cos[6.1753298446 + 65236.2212932854 * tau] + 3.9e-10 * cos[2.15376025201 + 8947.7180675846 * tau] + 3.9e-10 * cos[1.36646013032 + 21202.093703746 * tau] + 5.3e-10 * cos[5.04979874661 + 74673.9842281724 * tau] + 4.0e-10 * cos[1.2330554626 + 10228.538017396 * tau] + 4.1e-10 * cos[3.48003037828 + 37895.4262903674 * tau] + 5.3e-10 * cos[4.71388531889 + 53445.5922046266 * tau] + 4.4e-10 * cos[6.17937388307 + 13341.6743113068 * tau] + 4.6e-10 * cos[0.41229872114 + 7564.830720738 * tau] + 4.4e-10 * cos[1.29248911155 + 69166.430989505 * tau] + 5.0e-10 * cos[3.70569982975 + 42456.7840470916 * tau] + 5.4e-10 * cos[4.43528236634 + 8617.0991039264 * tau] + 4.5e-10 * cos[4.75746520642 + 7856.89627409019 * tau] + 4.6e-10 * cos[4.07536026888 + 7863.9425107882 * tau] + 5.8e-10 * cos[3.08646083897 + 12074.488407524 * tau] + 4.8e-10 * cos[1.12206254877 + 9779.5738083342 * tau] + 4.3e-10 * cos[5.74921510909 + 51868.2486621788 * tau] + 5.2e-10 * cos[3.23766328818 + 18940.59097135679 * tau] + 5.1e-10 * cos[2.32438478428 + 19779.56025910719 * tau] + 5.1e-10 * cos[5.4723851772 + 57837.1383323006 * tau] + 6.0e-10 * cos[5.94659889997 + 13897.6635962012 * tau] + 5.7e-10 * cos[2.09567711267 + 60530.4889857418 * tau] + 5.1e-10 * cos[3.61196470313 + 426.598190876 * tau] + 4.5e-10 * cos[1.1046649066 + 10408.2569306716 * tau] + 5.7e-10 * cos[5.48065460919 + 24383.0791084414 * tau] + 5.4e-10 * cos[6.25816208666 + 37674.9963942764 * tau] + 5.0e-10 * cos[1.59156823654 + 18631.31264870099 * tau] + 5.7e-10 * cos[5.0743774203 + 18521.1063274816 * tau] + 6.9e-10 * cos[4.90917651401 + 63498.47038145279 * tau] + 6.3e-10 * cos[3.3884897095 + 49515.382508407 * tau] + 5.1e-10 * cos[3.3751547351 + 9256.9963902404 * tau] + 5.4e-10 * cos[0.15603935681 + 19580.4882576708 * tau] + 5.8e-10 * cos[0.54482893546 + 28313.288804661 * tau] + 6.7e-10 * cos[3.128065954 + 5481.2549188676 * tau] + 5.2e-10 * cos[1.3334813194 + 20400.2727726222 * tau] + 5.6e-10 * cos[0.71243223808 + 9896.8936765544 * tau] + 5.6e-10 * cos[3.65815006538 + 14169.7935622304 * tau] + 5.4e-10 * cos[3.4095963723 + 18418.01355326299 * tau] + 5.4e-10 * cos[0.64971567468 + 9929.4262273458 * tau] + 7.5e-10 * cos[3.38244819846 + 4214.0690150848 * tau] + 7.3e-10 * cos[1.75882480924 + 1589.0728952838 * tau] + 5.4e-10 * cos[3.6225971324 + 27461.7108480654 * tau] + 6.4e-10 * cos[5.53983104501 + 10735.8629643048 * tau] + 7.0e-10 * cos[2.45123308846 + 10218.8084705184 * tau] + 5.6e-10 * cos[1.24148350566 + 10207.7626219036 * tau] + 6.9e-10 * cos[5.50183658445 + 19793.7873531088 * tau] + 7.9e-10 * cos[6.24161471033 + 6037.244203762 * tau] + 5.8e-10 * cos[4.95174942212 + 30110.1656735384 * tau] + 8.2e-10 * cos[3.62592908644 + 70743.77453195279 * tau] + 6.6e-10 * cos[5.85414440204 + 9793.8009023358 * tau] + 8.0e-10 * cos[3.39651161571 + 245.8316462294 * tau] + 8.0e-10 * cos[3.4162045777 + 48417.97290558199 * tau] + 6.6e-10 * cos[3.20467071127 + 14765.2390432698 * tau] + 6.4e-10 * cos[5.39293951654 + 7880.08915333899 * tau] + 6.8e-10 * cos[2.01841060183 + 14128.2427712456 * tau] + 7.2e-10 * cos[1.19410424468 + 10217.2176994741 * tau] + 7.7e-10 * cos[4.49569185467 + 20007.0864485468 * tau] + 7.0e-10 * cos[3.704540611 + 8734.4189721466 * tau] + 8.0e-10 * cos[2.33248094128 + 38526.574350872 * tau] + 7.0e-10 * cos[2.35648061034 + 11794.1522070078 * tau] + 8.7e-10 * cos[4.81823063172 + 2107.0345075424 * tau] + 7.1e-10 * cos[3.03858484137 + 11787.1059703098 * tau] + 6.4e-10 * cos[4.33495700921 + 47938.0389659592 * tau] + 6.8e-10 * cos[4.48235266554 + 10632.7701900862 * tau] + 8.5e-10 * cos[4.52011215904 + 29786.660256881 * tau] + 6.4e-10 * cos[0.53356325917 + 17248.4253018544 * tau] + 6.5e-10 * cos[6.23472325597 + 10419.4710946482 * tau] + 8.0e-10 * cos[1.58278081077 + 19992.85935454519 * tau] + 8.5e-10 * cos[0.67062144972 + 56600.2792895222 * tau] + 6.7e-10 * cos[2.25900071584 + 9360.089164459 * tau] + 8.9e-10 * cos[1.79712963206 + 45585.1728121874 * tau] + 7.1e-10 * cos[3.6556596169 + 11764.330768859 * tau] + 9.3e-10 * cos[5.27290609264 + 522.5774180938 * tau] + 9.1e-10 * cos[4.28652743953 + 10110.1927719924 * tau] + 6.8e-10 * cos[2.31300447144 + 8631.326197928 * tau] + 9.7e-10 * cos[5.1354205113 + 22779.4372461938 * tau] + 7.3e-10 * cos[1.60549217847 + 20956.2620575166 * tau] + 1.07e-9 * cos[4.80525404063 + 8144.2787113044 * tau] + 7.6e-10 * cos[6.15177368654 + 27682.1407441564 * tau] + 1.08e-9 * cos[5.44460610707 + 19050.7972925762 * tau] + 1.07e-9 * cos[0.54805946713 + 34363.365597556 * tau] + 1.09e-9 * cos[5.46886607309 + 52670.0695933026 * tau] + 8.7e-10 * cos[6.01842459303 + 17085.9586657222 * tau] + 1.14e-9 * cos[4.02718653431 + 7576.560073574 * tau] + 9.4e-10 * cos[6.07530805791 + 10846.0692855242 * tau] + 9.2e-10 * cos[3.66289799512 + 22645.32819660879 * tau] + 1.01e-9 * cos[3.4152849366 + 19264.0963880142 * tau] + 1.11e-9 * cos[4.47666957576 + 29057.89729034999 * tau] + 1.09e-9 * cos[3.82796787296 + 19470.28193645139 * tau] + 9.0e-10 * cos[2.42353056125 + 32858.61374281979 * tau] + 1.18e-9 * cos[2.3326817689 + 18314.9207790444 * tau] + 1.11e-9 * cos[1.57823839032 + 29043.67019634839 * tau] + 1.27e-9 * cos[2.20215372683 + 66813.5648357332 * tau] + 9.7e-10 * cos[1.04004223634 + 68050.42387851159 * tau] + 9.4e-10 * cos[2.9172009759 + 44007.8292697396 * tau] + 9.8e-10 * cos[1.07722950958 + 13553.8979729108 * tau] + 1.32e-9 * cos[5.45008342761 + 11506.7697697936 * tau] + 1.07e-9 * cos[0.41270197502 + 40853.142184844 * tau] + 1.00e-9 * cos[5.00532389609 + 10175.2578735752 * tau] + 1.31e-9 * cos[6.01711652115 + 9367.2027114598 * tau] + 1.02e-9 * cos[4.3943864662 + 18300.69368504279 * tau] + 1.23e-9 * cos[0.88054816668 + 34596.3646546524 * tau] + 1.18e-9 * cos[0.237542072 + 10497.1448650762 * tau] + 1.11e-9 * cos[2.23547857955 + 8521.1198767086 * tau] + 1.12e-9 * cos[2.24436894064 + 18204.71445782499 * tau] + 1.03e-9 * cos[5.25887538465 + 9830.3890139878 * tau] + 1.16e-9 * cos[1.27731728606 + 10199.0584522094 * tau] + 1.02e-9 * cos[4.23406964348 + 10251.3132188468 * tau] + 1.09e-9 * cos[2.01412667085 + 20419.45754542119 * tau] + 1.03e-9 * cos[1.09613781581 + 41654.9631159678 * tau] + 1.07e-9 * cos[1.172589789 + 43071.8992890308 * tau] + 1.23e-9 * cos[6.22518843711 + 53285.1848352418 * tau] + 1.14e-9 * cos[2.6330132652 + 17468.8551979454 * tau] + 1.06e-9 * cos[0.62224833817 + 11272.6674764002 * tau] + 1.50e-9 * cos[5.73646272556 + 632.7837393132 * tau] + 1.28e-9 * cos[2.92458887798 + 7.1135470008 * tau] + 1.20e-9 * cos[0.21443767468 + 31022.7531708562 * tau] + 1.19e-9 * cos[1.37254262864 + 40077.61957352 * tau] + 1.77e-9 * cos[5.16224804657 + 9835.9119382952 * tau] + 1.39e-9 * cos[2.81266025896 + 20.7753954924 * tau] + 1.35e-9 * cos[5.93689169614 + 37724.7534197482 * tau] + 1.46e-9 * cos[5.06313558118 + 39264.0692895602 * tau] + 1.46e-9 * cos[3.94191715702 + 6309.3741697912 * tau] + 1.88e-9 * cos[4.08173534559 + 48739.859897083 * tau] + 1.71e-9 * cos[2.05212624568 + 7255.5696517344 * tau] + 1.44e-9 * cos[5.00261963924 + 9264.1099372412 * tau] + 1.98e-9 * cos[0.77846666692 + 62883.3551395136 * tau] + 1.89e-9 * cos[5.34607810282 + 10007.0999977738 * tau] + 1.87e-9 * cos[2.98688597588 + 2218.7571041868 * tau] + 1.60e-9 * cos[4.46270605493 + 18947.7045183576 * tau] + 1.99e-9 * cos[5.7425979833 + 30666.1549584328 * tau] + 1.60e-9 * cos[1.81472642729 + 10787.6303445458 * tau] + 2.21e-9 * cos[4.83552377614 + 20277.0078952874 * tau] + 1.61e-9 * cos[4.13272567123 + 23958.6317852334 * tau] + 1.86e-9 * cos[2.55098927966 + 14919.0178537546 * tau] + 1.75e-9 * cos[2.7198479704 + 20809.4676246452 * tau] + 1.84e-9 * cos[6.16061560223 + 36147.4098773004 * tau] + 1.76e-9 * cos[4.29837616553 + 10137.0194749354 * tau] + 2.01e-9 * cos[1.90356905733 + 1551.045222648 * tau] + 1.93e-9 * cos[2.55112161845 + 2379.1644735716 * tau] + 2.24e-9 * cos[2.43601863127 + 9992.8729037722 * tau] + 1.87e-9 * cos[3.65620881095 + 20452.8694122218 * tau] + 1.94e-9 * cos[4.78926136175 + 33794.5437235286 * tau] + 2.65e-9 * cos[2.62811801237 + 44809.6502008634 * tau] + 2.53e-9 * cos[2.69506547016 + 3442.5749449654 * tau] + 2.46e-9 * cos[2.1824488393 + 9161.0171630226 * tau] + 2.39e-9 * cos[3.94545782067 + 9580.5018068978 * tau] + 2.80e-9 * cos[3.70200084294 + 47623.8527860896 * tau] + 2.67e-9 * cos[2.97685503991 + 19573.37471066999 * tau] + 2.91e-9 * cos[3.72567217056 + 29999.959352319 * tau] + 2.19e-9 * cos[5.08729383251 + 7058.5984613154 * tau] + 2.47e-9 * cos[2.53637594113 + 16522.6597160022 * tau] + 3.11e-9 * cos[4.15626121491 + 10175.1525105732 * tau] + 3.15e-9 * cos[5.62657778233 + 58953.145443294 * tau] + 2.37e-9 * cos[0.87748812245 + 6681.2248533996 * tau] + 2.81e-9 * cos[4.50895206233 + 32217.2001810808 * tau] + 2.44e-9 * cos[3.83523342668 + 9411.4646150872 * tau] + 2.51e-9 * cos[3.78618457047 + 10063.7223490764 * tau] + 3.47e-9 * cos[3.58439807209 + 27490.6924780448 * tau] + 3.13e-9 * cos[1.36138752543 + 10192.5101507186 * tau] + 3.29e-9 * cos[3.88430599153 + 29864.334027309 * tau] + 3.09e-9 * cos[0.50597475053 + 38204.687359371 * tau] + 3.26e-9 * cos[4.27369741426 + 26735.9452622132 * tau] + 3.37e-9 * cos[4.87838699272 + 12432.0426503978 * tau] + 3.85e-9 * cos[1.94284690176 + 283.8593188652 * tau] + 4.08e-9 * cos[3.12833060705 + 9050.8108418032 * tau] + 4.25e-9 * cos[1.2005257828 + 40879.4405046438 * tau] + 3.75e-9 * cos[6.17532088136 + 26087.9031415742 * tau] + 3.38e-9 * cos[3.22520096478 + 24150.080051345 * tau] + 3.48e-9 * cos[4.90260339364 + 18830.38465013739 * tau] + 3.52e-9 * cos[0.08963076359 + 10103.0792249916 * tau] + 4.64e-9 * cos[2.59869499733 + 18734.4054229196 * tau] + 4.02e-9 * cos[2.97963246945 + 10220.3990932118 * tau] + 4.04e-9 * cos[4.95834410782 + 37410.5672398786 * tau] + 5.00e-9 * cos[4.20351458644 + 55022.9357470744 * tau] + 4.21e-9 * cos[4.86552697954 + 9146.790069021 * tau] + 3.78e-9 * cos[2.41665947591 + 18844.61174413899 * tau] + 3.98e-9 * cos[6.16269975784 + 10426.584641649 * tau] + 4.59e-9 * cos[3.55062885479 + 20213.271996984 * tau] + 4.34e-9 * cos[6.22214487735 + 27197.2816936676 * tau] + 6.35e-9 * cos[0.76494024849 + 8094.5216858326 * tau] + 4.92e-9 * cos[3.83802404893 + 27991.40181316 * tau] + 5.44e-9 * cos[5.448060748 + 3723.508958923 * tau] + 5.35e-9 * cos[5.85422519711 + 9103.9069941176 * tau] + 6.73e-9 * cos[6.06079908421 + 36949.2308084242 * tau] + 5.95e-9 * cos[2.83045104588 + 22805.7355659936 * tau] + 6.01e-9 * cos[5.78144137895 + 213.299095438 * tau] + 6.00e-9 * cos[4.25927726907 + 41962.5207369374 * tau] + 5.09e-9 * cos[3.56809374595 + 28286.9904848612 * tau] + 5.30e-9 * cos[0.85392938403 + 10234.0609417034 * tau] + 6.74e-9 * cos[5.11214939998 + 382.8965322232 * tau] + 6.64e-9 * cos[4.458646824 + 3128.3887650958 * tau] + 8.02e-9 * cos[2.78173370208 + 51092.7260508548 * tau] + 7.60e-9 * cos[1.31851313748 + 9967.4538999816 * tau] + 8.00e-9 * cos[3.94213003073 + 10138.5039476437 * tau] + 6.08e-9 * cos[1.58476225197 + 9573.388259897 * tau] + 6.23e-9 * cos[0.89976912165 + 17778.11626694899 * tau] + 8.78e-9 * cos[0.87852464964 + 38734.3783244656 * tau] + 7.00e-9 * cos[1.14936815714 + 16983.9961474566 * tau] + 7.79e-9 * cos[0.4158527401 + 3340.6124266998 * tau] + 7.83e-9 * cos[2.02118183873 + 24356.7807886416 * tau] + 1.014e-8 * cos[1.09259406433 + 1059.3819301892 * tau] + 1.093e-8 * cos[4.64451720605 + 33019.0211122046 * tau] + 9.05e-9 * cos[1.12740203561 + 12592.4500197826 * tau] + 9.17e-9 * cos[6.26337648765 + 20618.0193585336 * tau] + 1.278e-8 * cos[1.35747287297 + 47162.5163546352 * tau] + 1.174e-8 * cos[1.42913732999 + 18875.525869774 * tau] + 1.042e-8 * cos[3.05454698508 + 25934.1243310894 * tau] + 1.402e-8 * cos[5.17536780118 + 10316.3783204296 * tau] + 1.270e-8 * cos[5.24647873116 + 19360.07561523199 * tau] + 1.249e-8 * cos[1.88323673734 + 19374.3027092336 * tau] + 1.323e-8 * cos[2.48821075422 + 9690.7081281172 * tau] + 1.185e-8 * cos[1.42087628351 + 4732.0306273434 * tau] + 1.484e-8 * cos[2.47665429253 + 31749.2351907264 * tau] + 1.140e-8 * cos[5.92088900094 + 13936.794505134 * tau] + 1.223e-8 * cos[5.55818994329 + 6770.7106012456 * tau] + 1.423e-8 * cos[5.85979618707 + 9676.4810341156 * tau] + 1.819e-8 * cos[3.23144993268 + 29088.811415985 * tau] + 1.497e-8 * cos[0.00134773824 + 17277.4069318338 * tau] + 1.950e-8 * cos[2.21447019683 + 19786.67380610799 * tau] + 2.087e-8 * cos[6.22112874639 + 43232.3066584156 * tau] + 1.858e-8 * cos[1.50368318296 + 10021.8372800994 * tau] + 1.817e-8 * cos[0.41611036449 + 4705.7323075436 * tau] + 1.706e-8 * cos[3.67573010379 + 26.2983197998 * tau] + 1.902e-8 * cos[2.85782199133 + 3532.0606928114 * tau] + 1.876e-8 * cos[2.63426768393 + 29580.4747084438 * tau] + 1.958e-8 * cos[5.41763804167 + 16496.3613962024 * tau] + 2.198e-8 * cos[2.82996372521 + 8662.240323563 * tau] + 2.374e-8 * cos[3.77948685343 + 21535.9496445154 * tau] + 2.463e-8 * cos[0.68708153678 + 10988.808157535 * tau] + 3.172e-8 * cos[1.80518954174 + 25158.6017197654 * tau] + 3.484e-8 * cos[4.79878191875 + 39302.096962196 * tau] + 3.284e-8 * cos[0.70709821006 + 10742.9765113056 * tau] + 2.982e-8 * cos[4.21196716354 + 28521.0927782546 * tau] + 3.089e-8 * cos[6.26174762876 + 14945.3161735544 * tau] + 3.216e-8 * cos[0.39767254848 + 10186.9872264112 * tau] + 2.709e-8 * cos[5.80195530112 + 7064.1213856228 * tau] + 3.920e-8 * cos[5.56542869407 + 10596.1820784342 * tau] + 4.033e-8 * cos[0.0005085558 + 801.8209311238 * tau] + 3.852e-8 * cos[1.01162850357 + 9786.687355335 * tau] + 6.005e-8 * cos[3.37874723475 + 35371.8872659764 * tau] + 4.315e-8 * cos[2.59737099519 + 4551.9534970588 * tau] + 6.070e-8 * cos[0.35337419942 + 21228.3920235458 * tau] + 6.193e-8 * cos[3.25881250939 + 6872.6731195112 * tau] + 4.529e-8 * cos[4.730277704 + 19896.8801273274 * tau] + 4.488e-8 * cos[2.47835729057 + 191.4482661116 * tau] + 5.523e-8 * cos[1.27394296557 + 18307.8072320436 * tau] + 5.632e-8 * cos[3.94956548631 + 12566.1516999828 * tau] + 5.898e-8 * cos[0.0109373111 + 8635.9420037632 * tau] + 6.434e-8 * cos[0.84419623033 + 6283.0758499914 * tau] + 7.562e-8 * cos[1.13789564977 + 8624.2126509272 * tau] + 6.506e-8 * cos[2.17390732263 + 14143.4952424306 * tau] + 9.585e-8 * cos[1.46639856228 + 19999.97290154599 * tau] + 1.0357e-7 * cos[1.20234990061 + 15874.6175953632 * tau] + 1.0652e-7 * cos[1.9552839614 + 31441.6775697568 * tau] + 9.308e-8 * cos[1.61615909286 + 2352.8661537718 * tau] + 8.193e-8 * cos[1.9502311186 + 22003.9146348698 * tau] + 8.377e-8 * cos[5.78327612352 + 30639.856638633 * tau] + 1.1438e-7 * cos[4.56838894696 + 29050.7837433492 * tau] + 1.0818e-7 * cos[2.45024712908 + 10239.5838660108 * tau] + 9.097e-8 * cos[3.07004895769 + 1109.3785520934 * tau] + 1.3180e-7 * cos[3.37207825651 + 13745.3462390224 * tau] + 1.3079e-7 * cos[5.24353197586 + 17298.1823273262 * tau] + 1.1728e-7 * cos[0.23432298744 + 7084.8967811152 * tau] + 1.1821e-7 * cos[5.09025877427 + 3154.6870848956 * tau] + 1.6215e-7 * cos[0.5645383429 + 529.6909650946 * tau] + 1.2921e-7 * cos[1.13381083556 + 10206.1719992102 * tau] + 1.3567e-7 * cos[3.75530870628 + 18073.7049386502 * tau] + 1.9809e-7 * cos[0.53189326492 + 27511.4678735372 * tau] + 1.9700e-7 * cos[4.96157560245 + 11322.6640983044 * tau] + 3.1274e-7 * cos[2.31806719544 + 9999.986450773 * tau] + 2.7283e-7 * cos[4.82151812709 + 11015.1064773348 * tau] + 2.7555e-7 * cos[5.72392407794 + 775.522611324 * tau] + 2.9042e-7 * cos[5.67739528728 + 5661.3320491522 * tau] + 3.9430e-7 * cos[5.39019422358 + 23581.2581773176 * tau] + 4.2493e-7 * cos[3.81864530735 + 13367.9726311066 * tau] + 4.1904e-7 * cos[1.64273363458 + 18837.49819713819 * tau] + 7.4347e-7 * cos[4.11957854039 + 5507.5532386674 * tau] + 8.5336e-7 * cos[3.98607953754 + 19651.048481098 * tau] + 7.6178e-7 * cos[1.59577224486 + 9153.9036160218 * tau] + 0.00000125896 * cos[2.72769833559 + 1577.3435424478 * tau] + 0.00000119467 * cos[3.01975365264 + 10404.7338123226 * tau] + 0.00000221983 * cos[2.01346776772 + 19367.1891622328 * tau] + 0.00000237455 * cos[2.55135903978 + 15720.8387848784 * tau] + 0.00000263616 * cos[5.5293818592 + 9437.762934887 * tau] + 0.00000373958 * cos[1.42314837063 + 3930.2096962196 * tau] + 0.00000498399 * cos[2.58682187717 + 9683.5945811164 * tau] + 0.00001378048 * cos[1.128465906 + 11790.6290886588 * tau] + 0.00001632093 * cos[2.84548851892 + 7860.4193924392 * tau] + 0.00001658058 * cos[4.90206728012 + 20426.571092422 * tau] + 0.00489824185 * cos[4.02151832268 + 10213.285546211 * tau] + 0.72334820905 * cos[0.0 + 0.0 * tau]; R1 = 1.3e-10 * cos[0.45004137509 + 20452.8694122218 * tau] + 1.5e-10 * cos[5.3451771514 + 10198.033075026 * tau] + 1.4e-10 * cos[2.8453287189 + 574.3447983348 * tau] + 1.4e-10 * cos[6.08462030302 + 35371.8872659764 * tau] + 1.6e-10 * cos[1.05720065324 + 26735.9452622132 * tau] + 1.5e-10 * cos[5.84132627836 + 10228.538017396 * tau] + 1.4e-10 * cos[3.48144272414 + 29786.660256881 * tau] + 1.8e-10 * cos[0.55618686515 + 14765.2390432698 * tau] + 1.5e-10 * cos[4.96237667003 + 19999.97290154599 * tau] + 1.5e-10 * cos[5.81110284451 + 43071.8992890308 * tau] + 1.7e-10 * cos[5.61443395877 + 47938.0389659592 * tau] + 1.5e-10 * cos[5.27016880041 + 53445.5922046266 * tau] + 1.6e-10 * cos[1.71021408448 + 536.8045120954 * tau] + 1.7e-10 * cos[5.63315744126 + 16522.6597160022 * tau] + 2.0e-10 * cos[0.75829381378 + 18314.9207790444 * tau] + 2.2e-10 * cos[5.30827572791 + 10207.7626219036 * tau] + 1.9e-10 * cos[5.92656850674 + 22805.7355659936 * tau] + 1.7e-10 * cos[3.02735393984 + 28528.2063252554 * tau] + 2.0e-10 * cos[2.48583613985 + 33794.5437235286 * tau] + 2.1e-10 * cos[4.30316190532 + 44809.6502008634 * tau] + 2.0e-10 * cos[3.68116637773 + 14128.2427712456 * tau] + 1.7e-10 * cos[5.44429906531 + 6681.2248533996 * tau] + 1.8e-10 * cos[2.29853355765 + 19264.0963880142 * tau] + 2.2e-10 * cos[5.88380811711 + 10218.8084705184 * tau] + 1.9e-10 * cos[3.65054338893 + 49515.382508407 * tau] + 2.7e-10 * cos[1.22555218015 + 42430.4857272918 * tau] + 1.9e-10 * cos[1.43653410349 + 27197.2816936676 * tau] + 2.5e-10 * cos[2.18447182965 + 27511.4678735372 * tau] + 2.0e-10 * cos[4.15140915983 + 2218.7571041868 * tau] + 2.1e-10 * cos[4.46897353468 + 53285.1848352418 * tau] + 2.3e-10 * cos[1.33505132122 + 65236.2212932854 * tau] + 2.2e-10 * cos[4.99040169444 + 31022.7531708562 * tau] + 2.0e-10 * cos[4.27086627368 + 31441.6775697568 * tau] + 2.7e-10 * cos[3.7244644608 + 19793.7873531088 * tau] + 2.2e-10 * cos[4.11184201321 + 19779.56025910719 * tau] + 2.8e-10 * cos[6.12038264955 + 38500.2760310722 * tau] + 2.2e-10 * cos[2.95281481673 + 40077.61957352 * tau] + 2.5e-10 * cos[4.75875623888 + 27991.40181316 * tau] + 2.1e-10 * cos[6.09897508157 + 18300.69368504279 * tau] + 2.7e-10 * cos[3.94986823486 + 17468.8551979454 * tau] + 3.0e-10 * cos[1.24986033487 + 27461.7108480654 * tau] + 2.2e-10 * cos[0.98102807789 + 426.598190876 * tau] + 2.5e-10 * cos[4.18690270765 + 44007.8292697396 * tau] + 2.8e-10 * cos[4.65181292126 + 1551.045222648 * tau] + 2.6e-10 * cos[0.46990555736 + 13745.3462390224 * tau] + 2.3e-10 * cos[1.00023735538 + 22779.4372461938 * tau] + 2.8e-10 * cos[4.19559784013 + 37674.9963942764 * tau] + 2.4e-10 * cos[0.73361964525 + 9411.4646150872 * tau] + 2.4e-10 * cos[4.38966861409 + 46386.9937433112 * tau] + 2.4e-10 * cos[2.74970637101 + 18947.7045183576 * tau] + 3.3e-10 * cos[0.93862065616 + 15720.8387848784 * tau] + 2.9e-10 * cos[2.79705093386 + 20007.0864485468 * tau] + 2.8e-10 * cos[3.58851614957 + 40853.142184844 * tau] + 2.5e-10 * cos[4.55050389739 + 14919.0178537546 * tau] + 2.8e-10 * cos[4.90613317287 + 29050.7837433492 * tau] + 3.2e-10 * cos[2.6426078826 + 41962.5207369374 * tau] + 2.7e-10 * cos[5.83705748551 + 17085.9586657222 * tau] + 3.1e-10 * cos[3.27727318906 + 19992.85935454519 * tau] + 3.5e-10 * cos[0.32247158762 + 1589.0728952838 * tau] + 3.1e-10 * cos[3.04423979263 + 40879.4405046438 * tau] + 2.9e-10 * cos[0.59718407064 + 59728.668054618 * tau] + 3.3e-10 * cos[1.08907268562 + 29864.334027309 * tau] + 2.8e-10 * cos[2.56454760402 + 94138.32702008578 * tau] + 3.1e-10 * cos[1.57612397319 + 36147.4098773004 * tau] + 3.4e-10 * cos[2.16487642765 + 64460.6986819614 * tau] + 4.4e-10 * cos[0.70533027806 + 20213.271996984 * tau] + 3.7e-10 * cos[4.93959675364 + 3340.6124266998 * tau] + 4.5e-10 * cos[4.59817214088 + 10192.5101507186 * tau] + 3.4e-10 * cos[3.45481114998 + 9830.3890139878 * tau] + 4.7e-10 * cos[0.0558943239 + 12432.0426503978 * tau] + 3.6e-10 * cos[2.02476324983 + 7058.5984613154 * tau] + 3.8e-10 * cos[0.11510547453 + 11272.6674764002 * tau] + 3.8e-10 * cos[1.12473430132 + 7.1135470008 * tau] + 4.0e-10 * cos[5.22874487975 + 21535.9496445154 * tau] + 4.9e-10 * cos[1.12423644455 + 3442.5749449654 * tau] + 3.8e-10 * cos[1.77428239418 + 10103.0792249916 * tau] + 5.1e-10 * cos[0.79154899901 + 23581.2581773176 * tau] + 4.0e-10 * cos[3.93466530964 + 20419.45754542119 * tau] + 5.3e-10 * cos[2.64370544855 + 15874.6175953632 * tau] + 5.0e-10 * cos[1.61783309819 + 36949.2308084242 * tau] + 5.2e-10 * cos[3.56658420552 + 7255.5696517344 * tau] + 4.7e-10 * cos[5.79444960738 + 68050.42387851159 * tau] + 4.9e-10 * cos[5.10267262491 + 19573.37471066999 * tau] + 5.7e-10 * cos[3.64912085313 + 10007.0999977738 * tau] + 6.0e-10 * cos[4.4875384617 + 18875.525869774 * tau] + 6.3e-10 * cos[4.32339245083 + 12592.4500197826 * tau] + 5.4e-10 * cos[5.15939119644 + 28286.9904848612 * tau] + 5.4e-10 * cos[3.38449893196 + 10426.584641649 * tau] + 6.0e-10 * cos[6.24603986632 + 32217.2001810808 * tau] + 6.4e-10 * cos[4.13127333938 + 9992.8729037722 * tau] + 6.1e-10 * cos[0.04044699966 + 9161.0171630226 * tau] + 5.9e-10 * cos[3.34348033725 + 10787.6303445458 * tau] + 8.1e-10 * cos[4.88025042367 + 4732.0306273434 * tau] + 6.9e-10 * cos[0.83385751986 + 3128.3887650958 * tau] + 6.4e-10 * cos[2.69215119482 + 16983.9961474566 * tau] + 8.6e-10 * cos[2.21505615071 + 8094.5216858326 * tau] + 8.2e-10 * cos[4.80683817059 + 3930.2096962196 * tau] + 8.7e-10 * cos[0.15771136594 + 33019.0211122046 * tau] + 8.1e-10 * cos[6.19048382717 + 20618.0193585336 * tau] + 1.07e-9 * cos[1.77067111589 + 17778.11626694899 * tau] + 8.4e-10 * cos[0.56950139213 + 9683.5945811164 * tau] + 7.9e-10 * cos[0.64440357793 + 18844.61174413899 * tau] + 8.5e-10 * cos[5.84471458481 + 10234.0609417034 * tau] + 9.8e-10 * cos[3.78447692407 + 213.299095438 * tau] + 1.12e-9 * cos[4.04771058036 + 9103.9069941176 * tau] + 9.2e-10 * cos[0.22936081655 + 18830.38465013739 * tau] + 1.17e-9 * cos[0.57543238496 + 9999.986450773 * tau] + 1.02e-9 * cos[1.53637788668 + 17277.4069318338 * tau] + 1.36e-9 * cos[5.09581116181 + 19367.1891622328 * tau] + 1.04e-9 * cos[4.27865011376 + 9573.388259897 * tau] + 1.45e-9 * cos[0.36415036222 + 9146.790069021 * tau] + 1.24e-9 * cos[0.67547060274 + 3723.508958923 * tau] + 1.15e-9 * cos[3.56897715344 + 24356.7807886416 * tau] + 1.14e-9 * cos[0.00114012635 + 25934.1243310894 * tau] + 1.47e-9 * cos[6.16092774714 + 8662.240323563 * tau] + 1.21e-9 * cos[6.26589208179 + 29580.4747084438 * tau] + 1.27e-9 * cos[4.49298610074 + 3532.0606928114 * tau] + 1.46e-9 * cos[1.37568138685 + 10220.3990932118 * tau] + 1.50e-9 * cos[5.02227334847 + 29088.811415985 * tau] + 1.51e-9 * cos[0.81278755582 + 6770.7106012456 * tau] + 1.51e-9 * cos[5.11341268743 + 28521.0927782546 * tau] + 1.63e-9 * cos[1.13604744392 + 13936.794505134 * tau] + 2.12e-9 * cos[3.15264941106 + 14945.3161735544 * tau] + 2.16e-9 * cos[2.54741101724 + 19651.048481098 * tau] + 2.06e-9 * cos[0.31907973682 + 382.8965322232 * tau] + 2.41e-9 * cos[1.13551531894 + 26.2983197998 * tau] + 2.04e-9 * cos[4.87348390351 + 7860.4193924392 * tau] + 2.30e-9 * cos[6.1340634559 + 1059.3819301892 * tau] + 2.12e-9 * cos[4.27038489878 + 4705.7323075436 * tau] + 2.75e-9 * cos[5.65814317085 + 19896.8801273274 * tau] + 2.74e-9 * cos[5.73346687248 + 11790.6290886588 * tau] + 2.66e-9 * cos[3.57408827667 + 801.8209311238 * tau] + 2.23e-9 * cos[4.33581625553 + 19786.67380610799 * tau] + 2.91e-9 * cos[3.65846764668 + 25158.6017197654 * tau] + 3.39e-9 * cos[5.76768761396 + 10021.8372800994 * tau] + 3.30e-9 * cos[0.58817502306 + 16496.3613962024 * tau] + 3.13e-9 * cos[1.09734397626 + 4551.9534970588 * tau] + 3.64e-9 * cos[0.19369831864 + 19374.3027092336 * tau] + 3.75e-9 * cos[0.66142254036 + 19360.07561523199 * tau] + 3.34e-9 * cos[3.18175822557 + 10988.808157535 * tau] + 3.91e-9 * cos[0.78974645621 + 9690.7081281172 * tau] + 4.18e-9 * cos[1.26803034691 + 9676.4810341156 * tau] + 4.26e-9 * cos[1.0216144312 + 7064.1213856228 * tau] + 5.01e-9 * cos[5.56479589366 + 10742.9765113056 * tau] + 5.15e-9 * cos[4.34331395104 + 9786.687355335 * tau] + 5.54e-9 * cos[2.17186191243 + 18307.8072320436 * tau] + 6.62e-9 * cos[2.86880467345 + 8624.2126509272 * tau] + 5.76e-9 * cos[2.25212731258 + 21228.3920235458 * tau] + 5.20e-9 * cos[5.33201358267 + 14143.4952424306 * tau] + 5.27e-9 * cos[5.86792949279 + 2352.8661537718 * tau] + 6.15e-9 * cos[3.14417599741 + 10186.9872264112 * tau] + 6.38e-9 * cos[4.10125791268 + 191.4482661116 * tau] + 8.47e-9 * cos[0.44119876869 + 8635.9420037632 * tau] + 6.52e-9 * cos[5.07444932607 + 22003.9146348698 * tau] + 8.24e-9 * cos[3.74837629121 + 7084.8967811152 * tau] + 8.45e-9 * cos[5.48504338112 + 529.6909650946 * tau] + 8.18e-9 * cos[0.90016838097 + 5661.3320491522 * tau] + 9.04e-9 * cos[0.81413053841 + 10596.1820784342 * tau] + 8.87e-9 * cos[2.47785193216 + 3154.6870848956 * tau] + 1.071e-8 * cos[4.94792017474 + 6283.0758499914 * tau] + 8.49e-9 * cos[5.5864157194 + 12566.1516999828 * tau] + 8.84e-9 * cos[0.66706834422 + 18073.7049386502 * tau] + 9.15e-9 * cos[4.59854496966 + 1109.3785520934 * tau] + 1.001e-8 * cos[6.16555101536 + 10239.5838660108 * tau] + 1.169e-8 * cos[0.79431893441 + 17298.1823273262 * tau] + 1.303e-8 * cos[0.20613045603 + 11322.6640983044 * tau] + 1.845e-8 * cos[1.87612936641 + 11015.1064773348 * tau] + 1.782e-8 * cos[2.64808558644 + 30639.856638633 * tau] + 2.094e-8 * cos[2.55137285015 + 18837.49819713819 * tau] + 2.194e-8 * cos[2.05314419626 + 775.522611324 * tau] + 2.666e-8 * cos[2.82413291285 + 10206.1719992102 * tau] + 3.840e-8 * cos[5.66196924375 + 13367.9726311066 * tau] + 4.667e-8 * cos[3.87683960551 + 9153.9036160218 * tau] + 6.599e-8 * cos[5.97703999838 + 5507.5532386674 * tau] + 9.124e-8 * cos[4.53540907003 + 10404.7338123226 * tau] + 1.0568e-7 * cos[4.59168210921 + 1577.3435424478 * tau] + 2.3864e-7 * cos[1.11274502648 + 9437.762934887 * tau] + 0.00000233998 * cos[3.14159265359 + 0.0 * tau] + 0.00000234203 * cos[1.77224942714 + 20426.571092422 * tau] + 0.00034551039 * cos[0.89198710598 + 10213.285546211 * tau]; R2 = 9e-11 * cos[5.97856553283 + 9683.5945811164 * tau] + 8e-11 * cos[4.67523115598 + 25934.1243310894 * tau] + 8e-11 * cos[3.63520673832 + 1059.3819301892 * tau] + 1.0e-10 * cos[2.179013099 + 3723.508958923 * tau] + 1.1e-10 * cos[2.58708635685 + 9103.9069941176 * tau] + 1.0e-10 * cos[1.87933121728 + 24356.7807886416 * tau] + 1.2e-10 * cos[4.45255110769 + 15720.8387848784 * tau] + 1.2e-10 * cos[2.54141086214 + 7064.1213856228 * tau] + 1.5e-10 * cos[4.83166312889 + 18875.525869774 * tau] + 1.3e-10 * cos[5.43981998532 + 25158.6017197654 * tau] + 1.3e-10 * cos[3.06303088617 + 10742.9765113056 * tau] + 1.4e-10 * cos[3.57896195191 + 10988.808157535 * tau] + 1.4e-10 * cos[3.14801263138 + 19367.1891622328 * tau] + 1.4e-10 * cos[1.79922718553 + 9830.3890139878 * tau] + 1.4e-10 * cos[2.83786355803 + 19786.67380610799 * tau] + 1.5e-10 * cos[5.05571633205 + 33019.0211122046 * tau] + 1.6e-10 * cos[3.35893297896 + 28286.9904848612 * tau] + 1.8e-10 * cos[4.62463651925 + 19651.048481098 * tau] + 1.9e-10 * cos[5.24505118517 + 19896.8801273274 * tau] + 2.1e-10 * cos[3.77813434325 + 21228.3920235458 * tau] + 2.5e-10 * cos[5.71401244457 + 21202.093703746 * tau] + 2.1e-10 * cos[2.52643834111 + 529.6909650946 * tau] + 2.2e-10 * cos[3.17741520378 + 28521.0927782546 * tau] + 2.9e-10 * cos[3.8296717881 + 10186.9872264112 * tau] + 2.6e-10 * cos[3.64313769818 + 29088.811415985 * tau] + 2.5e-10 * cos[3.32908650295 + 18307.8072320436 * tau] + 3.2e-10 * cos[1.84138997078 + 382.8965322232 * tau] + 3.5e-10 * cos[3.62868651241 + 801.8209311238 * tau] + 3.1e-10 * cos[0.45714618479 + 26.2983197998 * tau] + 3.4e-10 * cos[2.16381407025 + 16496.3613962024 * tau] + 4.4e-10 * cos[4.42979374073 + 7860.4193924392 * tau] + 4.2e-10 * cos[3.39360926939 + 14945.3161735544 * tau] + 3.4e-10 * cos[3.24663787383 + 22003.9146348698 * tau] + 3.4e-10 * cos[3.91721765773 + 10021.8372800994 * tau] + 4.6e-10 * cos[3.30090415967 + 6283.0758499914 * tau] + 3.5e-10 * cos[3.10133256432 + 4705.7323075436 * tau] + 3.9e-10 * cos[4.77190210316 + 18073.7049386502 * tau] + 3.7e-10 * cos[6.17871126027 + 1109.3785520934 * tau] + 4.1e-10 * cos[1.83997113019 + 11322.6640983044 * tau] + 4.6e-10 * cos[3.40293459332 + 14143.4952424306 * tau] + 4.8e-10 * cos[2.54730918293 + 17298.1823273262 * tau] + 4.8e-10 * cos[5.5089818955 + 191.4482661116 * tau] + 4.8e-10 * cos[4.26620187144 + 2352.8661537718 * tau] + 6.5e-10 * cos[2.4798370999 + 11790.6290886588 * tau] + 6.7e-10 * cos[3.76089669118 + 18837.49819713819 * tau] + 9.2e-10 * cos[0.72664449269 + 12566.1516999828 * tau] + 1.12e-9 * cos[2.36235956804 + 10596.1820784342 * tau] + 1.18e-9 * cos[2.62358866565 + 8635.9420037632 * tau] + 1.60e-9 * cos[2.21564938463 + 3154.6870848956 * tau] + 1.20e-9 * cos[5.85815843789 + 9153.9036160218 * tau] + 1.68e-9 * cos[3.64495311632 + 7084.8967811152 * tau] + 1.75e-9 * cos[6.1667465295 + 30639.856638633 * tau] + 1.68e-9 * cos[1.10765197296 + 13367.9726311066 * tau] + 2.07e-9 * cos[5.63406721595 + 10239.5838660108 * tau] + 3.72e-9 * cos[2.33222828423 + 775.522611324 * tau] + 3.89e-9 * cos[1.95017779915 + 11015.1064773348 * tau] + 3.10e-9 * cos[1.38984998403 + 5507.5532386674 * tau] + 3.61e-9 * cos[6.11914188253 + 10404.7338123226 * tau] + 4.88e-9 * cos[6.27806914496 + 1577.3435424478 * tau] + 1.099e-8 * cos[2.78883988292 + 9437.762934887 * tau] + 1.3059e-7 * cos[0.0 + 0.0 * tau] + 1.5529e-7 * cos[5.47321687981 + 20426.571092422 * tau] + 0.00001406587 * cos[5.0636639519 + 10213.285546211 * tau]; R3 = 5e-11 * cos[0.68781956122 + 8635.9420037632 * tau] + 6e-11 * cos[0.20714935358 + 10186.9872264112 * tau] + 9e-11 * cos[4.19802043629 + 10239.5838660108 * tau] + 1.3e-10 * cos[3.77448689585 + 30639.856638633 * tau] + 1.12e-9 * cos[3.14159265359 + 0.0 * tau] + 8.31e-9 * cos[3.21219077104 + 20426.571092422 * tau] + 4.9582e-7 * cos[3.2226355452 + 10213.285546211 * tau]; R4 = 6e-11 * cos[3.14159265359 + 0.0 * tau] + 4.0e-10 * cos[0.95468912157 + 20426.571092422 * tau] + 5.73e-9 * cos[0.9222969782 + 10213.285546211 * tau]; R5 = 2e-11 * cos[5.29627718483 + 20426.571092422 * tau] + 4.5e-10 * cos[0.30032866722 + 10213.285546211 * tau]; L = ((L0 + L1 tau + L2 tau^2 + L3 tau^3 + L4 tau^4 + L5 tau^5) radians) mod circle B = ((B0 + B1 tau + B2 tau^2 + B3 tau^3 + B4 tau^4 + B5 tau^5) radians) mod circle R = (R0 + R1 tau + R2 tau^2 + R3 tau^3 + R4 tau^4 + R5 tau^5) au return [L, B, R] } // // Earth // // This function calculates the heliocentric coordinates of Earth // referred to the mean equinox *of the date*. You may want to convert this // to another coordinate system, such as FK5. // // arguments: // d: the date/time to be calculated for // // returns: // [L, B, R] // // Where // L is the heliocentric longitude, // B is the heliocentric latitude // R is the distance from the sun. class var EarthHeliocentricCoordinates = {|d| tau = meeusT[d] / 10 L0 = 4.9e-10 * cos[2.44790934886 + 13613.804277336 * tau] + 4.5e-10 * cos[3.18590558749 + 45585.1728121874 * tau] + 3.9e-10 * cos[1.20838190039 + 18842.11400297339 * tau] + 4.0e-10 * cos[5.55145719241 + 12565.1713789146 * tau] + 4.5e-10 * cos[2.95671076719 + 24602.61243487099 * tau] + 5.1e-10 * cos[1.12657183874 + 82576.98122099529 * tau] + 6.2e-10 * cos[2.88876342225 + 9411.4646150872 * tau] + 5.3e-10 * cos[4.88573986961 + 77717.29458646949 * tau] + 5.3e-10 * cos[5.51119362045 + 77710.24834977149 * tau] + 6.6e-10 * cos[3.92262333487 + 69853.35207568129 * tau] + 5.7e-10 * cos[4.18217219541 + 26087.9031415742 * tau] + 6.5e-10 * cos[3.72178394016 + 12573.2652469836 * tau] + 6.1e-10 * cos[5.63297958433 + 7863.9425107882 * tau] + 6.1e-10 * cos[0.05695043232 + 7856.89627409019 * tau] + 5.7e-10 * cos[3.90629505268 + 5999.2165311262 * tau] + 7.9e-10 * cos[5.59773841328 + 71960.38658322369 * tau] + 6.2e-10 * cos[3.32967880172 + 15508.6151232744 * tau] + 6.7e-10 * cos[5.77851227793 + 6311.5250374592 * tau] + 7.6e-10 * cos[1.76418124905 + 41654.9631159678 * tau] + 9.3e-10 * cos[2.52267536308 + 48739.859897083 * tau] + 8.4e-10 * cos[0.46604373274 + 45.1412196366 * tau] + 7.3e-10 * cos[3.05008665738 + 567.7186377304 * tau] + 7.4e-10 * cos[5.49813051211 + 29026.48522950779 * tau] + 7.9e-10 * cos[3.03048221644 + 838.9692877504 * tau] + 7.8e-10 * cos[6.0694939168 + 148434.53403769129 * tau] + 9.5e-10 * cos[4.13387406591 + 18216.443810661 * tau] + 8.3e-10 * cos[4.90662164029 + 51.28033786241 * tau] + 8.8e-10 * cos[2.09872810657 + 238004.52415723629 * tau] + 8.0e-10 * cos[6.19781316983 + 6709.6740408674 * tau] + 1.06e-9 * cos[5.49092372854 + 62883.3551395136 * tau] + 8.6e-10 * cos[4.01887374432 + 12491.3701014155 * tau] + 8.8e-10 * cos[2.10180220766 + 26482.1708096244 * tau] + 1.07e-9 * cos[4.91580912547 + 277.0349937414 * tau] + 8.7e-10 * cos[4.32472045435 + 742.9900605326 * tau] + 1.09e-9 * cos[1.94546030825 + 24279.10701821359 * tau] + 8.7e-10 * cos[4.40657711727 + 142.1786270362 * tau] + 1.10e-9 * cos[3.32898859416 + 72140.62866668739 * tau] + 1.04e-9 * cos[1.08739495962 + 6288.5987742988 * tau] + 1.07e-9 * cos[5.77864921649 + 34115.1140692746 * tau] + 1.01e-9 * cos[4.18796434479 + 30666.1549584328 * tau] + 8.0e-10 * cos[1.84900424847 + 21424.4666443034 * tau] + 8.8e-10 * cos[3.2113316569 + 33326.5787331742 * tau] + 9.5e-10 * cos[2.87032884659 + 23020.65308658799 * tau] + 8.6e-10 * cos[4.61919461931 + 36147.4098773004 * tau] + 8.2e-10 * cos[0.87060089842 + 10241.2022911672 * tau] + 1.01e-9 * cos[5.32081603011 + 2301.58581590939 * tau] + 8.7e-10 * cos[3.43122851097 + 27707.5424942948 * tau] + 8.2e-10 * cos[4.80703651241 + 6819.8803620868 * tau] + 8.9e-10 * cos[4.45371820659 + 792.7748884674 * tau] + 8.3e-10 * cos[0.18241793425 + 15141.390794312 * tau] + 1.17e-9 * cos[0.78475956902 + 83286.91426955358 * tau] + 1.10e-9 * cos[3.68205877433 + 22380.755800274 * tau] + 1.04e-9 * cos[3.39218586218 + 290.972865866 * tau] + 1.02e-9 * cos[1.04031728553 + 95143.1329209781 * tau] + 1.24e-9 * cos[3.43899862683 + 172146.97134054029 * tau] + 1.08e-9 * cos[0.52696637156 + 276.7457718644 * tau] + 9.5e-10 * cos[3.0382374111 + 8982.810669309 * tau] + 9.4e-10 * cos[5.58132218606 + 3104.9300594238 * tau] + 9.4e-10 * cos[0.6899787606 + 7834.1210726394 * tau] + 1.26e-9 * cos[3.21642544972 + 305281.94307104882 * tau] + 9.9e-10 * cos[1.37437847718 + 1039.0266107904 * tau] + 1.16e-9 * cos[4.19967201116 + 206.7007372966 * tau] + 9.7e-10 * cos[0.89642320201 + 71980.63357473118 * tau] + 1.06e-9 * cos[1.0015665359 + 16522.6597160022 * tau] + 9.5e-10 * cos[2.89807657534 + 34911.412076091 * tau] + 9.4e-10 * cos[4.30965982872 + 26880.3198130326 * tau] + 9.4e-10 * cos[1.99595224256 + 13362.4497067992 * tau] + 1.19e-9 * cos[1.21689479331 + 1478.8665740644 * tau] + 1.02e-9 * cos[0.66938025772 + 10239.5838660108 * tau] + 1.25e-9 * cos[2.7216443296 + 24065.80792277559 * tau] + 9.8e-10 * cos[4.37041908717 + 34513.2630726828 * tau] + 9.7e-10 * cos[3.34717130592 + 16310.9790457206 * tau] + 9.8e-10 * cos[1.28118280598 + 21548.9623692918 * tau] + 1.00e-9 * cos[3.95534628189 + 5547.1993364596 * tau] + 1.17e-9 * cos[5.17362872063 + 34520.3093093808 * tau] + 1.08e-9 * cos[0.9898977494 + 5636.0650166766 * tau] + 1.03e-9 * cos[0.40004073416 + 90279.92316810328 * tau] + 1.38e-9 * cos[2.45654707999 + 7576.560073574 * tau] + 1.29e-9 * cos[1.23567904485 + 12029.3471878874 * tau] + 1.01e-9 * cos[4.91289409429 + 401.6721217572 * tau] + 1.37e-9 * cos[1.43510636754 + 86464.61331683119 * tau] + 1.02e-9 * cos[4.75119578149 + 12242.6462833254 * tau] + 1.05e-9 * cos[1.78318141871 + 18139.2945014159 * tau] + 1.10e-9 * cos[1.08682570828 + 2787.0430238574 * tau] + 1.24e-9 * cos[3.27736514057 + 12566.08438968 * tau] + 1.25e-9 * cos[1.14419195615 + 625.6701923124 * tau] + 1.43e-9 * cos[1.81201813018 + 4214.0690150848 * tau] + 1.07e-9 * cos[5.71774478555 + 77736.78343050249 * tau] + 1.18e-9 * cos[4.5232017012 + 19004.6479494084 * tau] + 1.07e-9 * cos[4.67919356465 + 77690.75950573849 * tau] + 1.02e-9 * cos[4.12448497391 + 15664.03552270859 * tau] + 1.05e-9 * cos[4.82620858888 + 33794.5437235286 * tau] + 1.04e-9 * cos[1.54931540602 + 127.9515330346 * tau] + 1.12e-9 * cos[6.05401806281 + 433.7117378768 * tau] + 1.40e-9 * cos[1.09413073202 + 44809.6502008634 * tau] + 1.30e-9 * cos[4.85539251 + 22345.2603761082 * tau] + 1.15e-9 * cos[4.58880032176 + 26709.6469424134 * tau] + 1.22e-9 * cos[0.93575234049 + 24492.40611365159 * tau] + 1.15e-9 * cos[0.23374479051 + 418.9243989006 * tau] + 1.19e-9 * cos[2.40637635942 + 18635.9284545362 * tau] + 1.12e-9 * cos[4.92889233335 + 56.8032621698 * tau] + 1.12e-9 * cos[3.39403722178 + 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cos[3.53092337542 + 12416.5885028482 * tau] + 7.17e-9 * cos[0.16688678895 + 11.729352836 * tau] + 9.69e-9 * cos[1.64439522215 + 29088.811415985 * tau] + 7.08e-9 * cos[1.7289998894 + 13095.8426650774 * tau] + 9.53e-9 * cos[4.20801492835 + 11190.377900137 * tau] + 7.63e-9 * cos[5.86304932998 + 16858.4825329332 * tau] + 9.37e-9 * cos[3.4688469896 + 1589.0728952838 * tau] + 7.39e-9 * cos[5.04368197372 + 639.897286314 * tau] + 9.31e-9 * cos[4.06044689031 + 28766.924424484 * tau] + 9.07e-9 * cos[0.86986870809 + 10344.2950653858 * tau] + 9.54e-9 * cos[1.49988435748 + 1162.4747044078 * tau] + 1.068e-8 * cos[4.64200173735 + 43232.3066584156 * tau] + 7.76e-9 * cos[4.09855402433 + 14.2270940016 * tau] + 7.78e-9 * cos[6.17699177946 + 38.1330356378 * tau] + 8.40e-9 * cos[1.79543266333 + 5429.8794682394 * tau] + 9.74e-9 * cos[1.52996238356 + 9623.6882766912 * tau] + 9.08e-9 * cos[0.44959639433 + 7477.522860216 * tau] + 1.096e-8 * cos[6.17377835617 + 5436.9930152402 * tau] + 8.30e-9 * cos[0.48984915507 + 24072.9214697764 * tau] + 9.10e-9 * cos[1.98802695087 + 735.8765135318 * tau] + 8.88e-9 * cos[3.91173199285 + 4686.8894077068 * tau] + 1.024e-8 * cos[2.19378315386 + 11403.676995575 * tau] + 1.121e-8 * cos[0.72627490378 + 220.4126424388 * tau] + 1.171e-8 * cos[3.39635049962 + 12562.6285816338 * tau] + 9.66e-9 * cos[3.18341890851 + 11087.2851259184 * tau] + 1.117e-8 * cos[0.38838354256 + 949.1756089698 * tau] + 1.035e-8 * cos[2.32142722747 + 7342.4577801806 * tau] + 1.254e-8 * cos[5.45103277798 + 6076.8903015542 * tau] + 1.181e-8 * cos[1.20653776978 + 131.5419616864 * tau] + 1.079e-8 * cos[6.20304501787 + 3.2863574178 * tau] + 1.311e-8 * cos[1.60942984879 + 5481.2549188676 * tau] + 1.253e-8 * cos[2.79850152848 + 167283.76158766549 * tau] + 1.349e-8 * cos[2.99805109633 + 17654.7805397496 * tau] + 1.411e-8 * cos[1.09908857534 + 3496.032826134 * tau] + 1.266e-8 * cos[0.11421493643 + 18422.62935909819 * tau] + 1.198e-8 * cos[5.15294130422 + 10177.2576795336 * tau] + 1.148e-8 * cos[6.0300180054 + 3634.6210245184 * tau] + 1.362e-8 * cos[2.61069503292 + 6062.6632075526 * tau] + 1.473e-8 * cos[1.70479245805 + 11712.9553182308 * tau] + 1.390e-8 * cos[5.42894648983 + 143571.32428481648 * tau] + 1.222e-8 * cos[5.18120087482 + 5333.9002410216 * tau] + 1.192e-8 * cos[2.74227166898 + 12569.6748183318 * tau] + 1.205e-8 * cos[1.86912144659 + 4590.910180489 * tau] + 1.463e-8 * cos[4.69242679213 + 14945.3161735544 * tau] + 1.242e-8 * cos[4.46665769933 + 17256.6315363414 * tau] + 1.695e-8 * cos[0.22047718414 + 25158.6017197654 * tau] + 1.431e-8 * cos[4.51153808594 + 20426.571092422 * tau] + 1.747e-8 * cos[3.05638656738 + 18319.5365848796 * tau] + 1.791e-8 * cos[3.22187270126 + 39302.096962196 * tau] + 1.528e-8 * cos[5.61835711404 + 6127.6554505572 * tau] + 1.346e-8 * cos[1.51574702235 + 4136.9104335162 * tau] + 1.810e-8 * cos[0.49112137707 + 1.4844727083 * tau] + 1.476e-8 * cos[0.93271367331 + 2379.1644735716 * tau] + 1.942e-8 * cos[4.31335979989 + 6244.9428143536 * tau] + 1.971e-8 * cos[1.04560500503 + 18209.33026366019 * tau] + 1.664e-8 * cos[4.41939715469 + 8662.240323563 * tau] + 1.596e-8 * cos[3.98332956992 + 13916.0191096416 * tau] + 1.924e-8 * cos[0.60231842508 + 6284.0561710596 * tau] + 2.009e-8 * cos[4.6285092198 + 6037.244203762 * tau] + 1.924e-8 * cos[1.22898324132 + 709.9330485583 * tau] + 1.882e-8 * cos[0.86684493432 + 22003.9146348698 * tau] + 1.774e-8 * cos[0.48747535361 + 1551.045222648 * tau] + 2.103e-8 * cos[0.75354917468 + 13521.7514415914 * tau] + 1.990e-8 * cos[3.93295788548 + 6206.8097787158 * tau] + 1.701e-8 * cos[4.4110589538 + 110.2063212194 * tau] + 1.816e-8 * cos[3.68083868442 + 15110.4661198662 * tau] + 1.883e-8 * cos[1.90364058477 + 15.252471185 * tau] + 1.787e-8 * cos[1.25929682929 + 12559.038152982 * tau] + 1.887e-8 * cos[3.74365662683 + 23.8784377478 * tau] + 1.988e-8 * cos[5.19736046771 + 6262.300454499 * tau] + 1.949e-8 * cos[1.07002512703 + 5230.807466803 * tau] + 1.924e-8 * cos[5.5946054986 + 6282.0955289232 * tau] + 2.074e-8 * cos[4.2279477457 + 5650.2921106782 * tau] + 1.949e-8 * cos[4.86892513469 + 36.0278666774 * tau] + 2.381e-8 * cos[0.10581361289 + 7.046236698 * tau] + 2.506e-8 * cos[3.74379142438 + 10575.4066829418 * tau] + 2.003e-8 * cos[0.38091017375 + 6172.869528772 * tau] + 2.019e-8 * cos[0.81393923319 + 170.6728706192 * tau] + 2.113e-8 * cos[3.71393780256 + 65147.6197681377 * tau] + 2.618e-8 * cos[2.57870156528 + 22483.84857449259 * tau] + 2.343e-8 * cos[3.576898605 + 10969.9652576982 * tau] + 3.030e-8 * cos[1.80209931347 + 35371.8872659764 * tau] + 2.361e-8 * cos[4.27212906992 + 6040.3472460174 * tau] + 3.163e-8 * cos[5.08946464629 + 21228.3920235458 * tau] + 3.161e-8 * cos[1.32798718453 + 10873.9860304804 * tau] + 2.395e-8 * cos[1.16131956403 + 10984.1923516998 * tau] + 2.876e-8 * cos[6.02635617464 + 154717.60988768269 * tau] + 2.955e-8 * cos[3.39692949667 + 9225.539273283 * tau] + 2.621e-8 * cos[3.85639359951 + 266.6070417218 * tau] + 2.565e-8 * cos[1.560717849 + 23543.23050468179 * tau] + 3.520e-8 * cos[2.05559692878 + 244287.60000722769 * tau] + 2.553e-8 * cos[3.94869034189 + 1990.745017041 * tau] + 3.252e-8 * cos[3.47859752062 + 6133.5126528568 * tau] + 3.388e-8 * cos[3.20185096055 + 5120.6011455836 * tau] + 3.650e-8 * cos[1.08344142571 + 88860.05707098669 * tau] + 2.805e-8 * cos[2.58504514144 + 14314.1681130498 * tau] + 3.334e-8 * cos[0.83684924911 + 6496.3749454294 * tau] + 3.397e-8 * cos[1.10590684017 + 14712.317116458 * tau] + 3.086e-8 * cos[3.64646921512 + 10.6366653498 * tau] + 3.507e-8 * cos[3.71291946325 + 6290.1893969922 * tau] + 3.737e-8 * cos[2.95380107829 + 3128.3887650958 * tau] + 3.390e-8 * cos[0.97785123922 + 8635.9420037632 * tau] + 3.652e-8 * cos[1.01838584934 + 16200.7727245012 * tau] + 3.865e-8 * cos[1.82634360607 + 11856.2186514245 * tau] + 3.701e-8 * cos[5.03069397926 + 536.8045120954 * tau] + 4.215e-8 * cos[1.90601120623 + 245.8316462294 * tau] + 3.521e-8 * cos[5.97844807108 + 3894.1818295422 * tau] + 4.132e-8 * cos[0.92128915753 + 3738.761430108 * tau] + 4.497e-8 * cos[3.27230796845 + 11015.1064773348 * tau] + 3.785e-8 * cos[2.34369213733 + 3.881335358 * tau] + 5.307e-8 * cos[0.38217636096 + 31441.6775697568 * tau] + 5.188e-8 * cos[4.06503864016 + 6208.2942514241 * tau] + 4.020e-8 * cos[0.83995823171 + 20.3553193988 * tau] + 4.488e-8 * cos[3.6528503715 + 206.1855484372 * tau] + 6.123e-8 * cos[1.07494905258 + 19804.8272915828 * tau] + 4.348e-8 * cos[4.4234217548 + 5216.5803728014 * tau] + 6.153e-8 * cos[1.45823331144 + 233141.31440436149 * tau] + 4.471e-8 * cos[2.06385999536 + 7079.3738568078 * tau] + 5.958e-8 * cos[3.32051344676 + 6283.0085396886 * tau] + 5.547e-8 * cos[2.45152597661 + 12352.8526045448 * tau] + 4.938e-8 * cos[5.73672165674 + 9917.6968745098 * tau] + 6.762e-8 * cos[5.91132535899 + 90955.5516944961 * tau] + 6.625e-8 * cos[3.66475158672 + 17298.1823273262 * tau] + 7.056e-8 * cos[0.32258441903 + 263.0839233728 * tau] + 5.127e-8 * cos[2.36062848786 + 10973.55568635 * tau] + 5.413e-8 * cos[5.39199024641 + 419.4846438752 * tau] + 7.346e-8 * cos[4.38582365437 + 316.3918696566 * tau] + 7.188e-8 * cos[3.99831508699 + 74.7815985673 * tau] + 6.534e-8 * cos[5.79072926033 + 18073.7049386502 * tau] + 5.955e-8 * cos[2.87641047971 + 6283.14316029419 * tau] + 7.314e-8 * cos[0.60652505806 + 11513.8833167944 * tau] + 7.756e-8 * cos[2.95729056763 + 23013.5395395872 * tau] + 7.575e-8 * cos[3.97382858911 + 11499.6562227928 * tau] + 6.297e-8 * cos[4.71724819317 + 6836.6452528338 * tau] + 8.620e-8 * cos[4.16538210888 + 7058.5984613154 * tau] + 9.048e-8 * cos[5.33686335897 + 6386.16862421 * tau] + 8.123e-8 * cos[6.2705301365 + 426.598190876 * tau] + 7.871e-8 * cos[0.99590177926 + 5643.1785636774 * tau] + 9.802e-8 * cos[5.24413991147 + 27511.4678735372 * tau] + 9.232e-8 * cos[0.48343968736 + 522.5774180938 * tau] + 8.127e-8 * cos[6.11228001785 + 4732.0306273434 * tau] + 9.378e-8 * cos[2.62414241032 + 5760.4984318976 * tau] + 7.686e-8 * cos[3.12142363172 + 7238.6755916 * tau] + 1.0523e-7 * cos[0.93871805506 + 11926.2544136688 * tau] + 8.006e-8 * cos[5.82145271907 + 28.4491874678 * tau] + 8.409e-8 * cos[3.29946744189 + 7234.794256242 * tau] + 1.0005e-7 * cos[6.0291496328 + 5746.271337896 * tau] + 8.356e-8 * cos[4.53902685948 + 25132.3033999656 * tau] + 1.0827e-7 * cos[0.32734520222 + 103.0927742186 * tau] + 1.2003e-7 * cos[1.003514567 + 632.7837393132 * tau] + 1.0327e-7 * cos[6.19982566125 + 6438.4962494256 * tau] + 9.220e-8 * cos[4.57138609781 + 4292.3308329504 * tau] + 9.803e-8 * cos[0.99947478995 + 11371.7046897582 * tau] + 1.0498e-7 * cos[5.35909518669 + 1592.5960136328 * tau] + 1.2503e-7 * cos[1.13052412208 + 5.5229243074 * tau] + 1.3621e-7 * cos[1.88934471407 + 7632.9432596502 * tau] + 1.3971e-7 * cos[4.40138139996 + 6681.2248533996 * tau] + 1.1287e-7 * cos[0.17739328092 + 4164.311989613 * tau] + 1.2054e-7 * cos[2.62229588349 + 955.5997416086 * tau] + 1.7898e-7 * cos[2.21490735647 + 13367.9726311066 * tau] + 1.4346e-7 * cos[3.72355084422 + 38.0276726358 * tau] + 1.8888e-7 * cos[5.38626880969 + 149854.40013480789 * tau] + 1.9124e-7 * cos[3.82219996949 + 23581.2581773176 * tau] + 1.5077e-7 * cos[4.19567181073 + 6256.7775301916 * tau] + 1.6225e-7 * cos[5.98837722564 + 11769.8536931664 * tau] + 1.4421e-7 * cos[4.19315332546 + 242.728603974 * tau] + 2.0300e-7 * cos[0.37133792946 + 283.8593188652 * tau] + 1.9860e-7 * cos[5.77470167653 + 6309.3741697912 * tau] + 1.9925e-7 * cos[5.22208471269 + 12168.0026965746 * tau] + 1.7481e-7 * cos[4.56052900359 + 135.0650800354 * tau] + 2.1891e-7 * cos[5.55594302562 + 553.5694028424 * tau] + 2.1419e-7 * cos[1.42563735525 + 16730.4636895958 * tau] + 2.2820e-7 * cos[5.22197888032 + 4705.7323075436 * tau] + 2.5352e-7 * cos[3.16470953405 + 4690.4798363586 * tau] + 2.4738e-7 * cos[0.21484762138 + 3.5904286518 * tau] + 2.1089e-7 * cos[4.14825464101 + 951.7184062506 * tau] + 2.3574e-7 * cos[2.06527720049 + 3340.6124266998 * tau] + 2.3663e-7 * cos[0.48473567763 + 8031.0922630584 * tau] + 3.0412e-7 * cos[0.44294464135 + 83996.84731811189 * tau] + 3.0047e-7 * cos[2.73975123935 + 1349.8674096588 * tau] + 4.0938e-7 * cos[2.39850881707 + 19651.048481098 * tau] + 3.5954e-7 * cos[1.70876111898 + 2352.8661537718 * tau] + 3.3291e-7 * cos[0.59309499459 + 17789.845619785 * tau] + 3.6596e-7 * cos[2.56955238628 + 1059.3819301892 * tau] + 3.6770e-7 * cos[6.04133859347 + 10213.285546211 * tau] + 3.5566e-7 * cos[1.77597314691 + 6812.766815086 * tau] + 3.9200e-7 * cos[6.16832995016 + 10447.3878396044 * tau] + 4.9000e-7 * cos[0.48735065033 + 1194.4470102246 * tau] + 5.1992e-7 * cos[0.18914945834 + 12139.5535091068 * tau] + 5.1605e-7 * cos[1.33282746983 + 1748.016413067 * tau] + 4.1036e-7 * cos[5.36817351402 + 8429.2412664666 * tau] + 5.5577e-7 * cos[3.47006009062 + 6279.5527316424 * tau] + 5.1145e-7 * cos[0.28306864501 + 5856.4776591154 * tau] + 6.2449e-7 * cos[3.97763880587 + 8827.3902698748 * tau] + 5.6116e-7 * cos[4.38694880779 + 14143.4952424306 * tau] + 6.9627e-7 * cos[0.83297596966 + 9437.762934887 * tau] + 6.1148e-7 * cos[1.81839811024 + 7084.8967811152 * tau] + 5.6963e-7 * cos[2.78430398043 + 6286.5989683404 * tau] + 8.5803e-7 * cos[5.98322631256 + 161000.6857376741 * tau] + 7.9637e-7 * cos[1.807913307 + 17260.1546546904 * tau] + 7.8756e-7 * cos[3.03698313141 + 12036.4607348882 * tau] + 7.3874e-7 * cos[3.50319443167 + 3154.6870848956 * tau] + 7.3547e-7 * cos[4.67926565481 + 801.8209311238 * tau] + 8.4711e-7 * cos[3.67080093025 + 71430.69561812909 * tau] + 0.00000101895 * cos[0.97569221824 + 15720.8387848784 * tau] + 7.4651e-7 * cos[1.75508916159 + 5088.6288397668 * tau] + 8.5128e-7 * cos[1.29870743025 + 6275.9623029906 * tau] + 9.7607e-7 * cos[0.6810127227 + 155.4203994342 * tau] + 0.00000132212 * cos[3.41118275555 + 2942.4634232916 * tau] + 9.9206e-7 * cos[6.20992940258 + 2146.1654164752 * tau] + 0.00000101724 * cos[4.26679821365 + 7.1135470008 * tau] + 0.00000102851 * cos[0.63599846727 + 4694.0029547076 * tau] + 0.00000115132 * cos[0.64544911683 + 0.9803210682 * tau] + 0.00000155516 * cos[0.83306073807 + 213.299095438 * tau] + 0.00000126184 * cos[1.0830263021 + 20.7753954924 * tau] + 0.00000202261 * cos[2.45767795458 + 6069.7767545534 * tau] + 0.00000205385 * cos[1.86947813692 + 5573.1428014331 * tau] + 0.0000020616 * cos[4.80646606059 + 2544.3144198834 * tau] + 0.00000271039 * cos[0.31488607649 + 10977.078804699 * tau] + 0.00000317087 * cos[5.84901952218 + 11790.6290886588 * tau] + 0.0000024281 * cos[0.34481140906 + 5486.777843175 * tau] + 0.00000284125 * cos[1.89869034186 + 796.2980068164 * tau] + 0.00000356655 * cos[2.91954116867 + 0.0673103028 * tau] + 0.00000492379 * cos[4.20506639861 + 775.522611324 * tau] + 0.00000505264 * cos[4.58292563052 + 18849.2275499742 * tau] + 0.00000753141 * cos[2.53339053818 + 5507.5532386674 * tau] + 0.0000099025 * cos[5.23268129594 + 5884.9268465832 * tau] + 0.00000779786 * cos[1.17882652114 + 5223.6939198022 * tau] + 0.00000857223 * cos[3.50849156957 + 398.1490034082 * tau] + 0.00001199167 * cos[1.10962944315 + 1577.3435424478 * tau] + 0.00000901855 * cos[2.04505443513 + 26.2983197998 * tau] + 0.00001324292 * cos[0.74246356352 + 11506.7697697936 * tau] + 0.00001273166 * cos[2.03709655772 + 529.6909650946 * tau] + 0.00002342687 * cos[6.13516237631 + 3930.2096962196 * tau] + 0.00002676218 * cos[4.41808351397 + 7860.4193924392 * tau] + 0.00003135896 * cos[3.62767041758 + 77713.7714681205 * tau] + 0.00003497056 * cos[2.74411800971 + 5753.3848848968 * tau] + 0.00003417571 * cos[2.82886579606 + 3.523118349 * tau] + 0.00034894275 * cos[4.62610241759 + 12566.1516999828 * tau] + 0.03341656456 * cos[4.66925680417 + 6283.0758499914 * tau] + 1.75347045673 * cos[0.0 + 0.0 * tau]; L1 = 2.5e-10 * cos[5.71466092822 + 25934.1243310894 * tau] + 2.4e-10 * cos[1.40237993205 + 14712.317116458 * tau] + 2.4e-10 * cos[5.72605158675 + 29864.334027309 * tau] + 2.1e-10 * cos[1.56857722317 + 13341.6743113068 * tau] + 2.6e-10 * cos[2.068012969 + 12573.2652469836 * tau] + 2.1e-10 * cos[3.58418394393 + 18209.33026366019 * tau] + 2.2e-10 * cos[2.31199937177 + 6303.4311693902 * tau] + 2.1e-10 * cos[6.07546891132 + 18139.2945014159 * tau] + 2.1e-10 * cos[3.18605672363 + 6277.552925684 * tau] + 2.3e-10 * cos[0.29300197709 + 13362.4497067992 * tau] + 2.4e-10 * cos[4.91804163466 + 19651.048481098 * tau] + 2.6e-10 * cos[3.8768588318 + 6262.7205305926 * tau] + 3.9e-10 * cos[1.51948786199 + 12029.3471878874 * tau] + 4.5e-10 * cos[3.94202418608 + 10988.808157535 * tau] + 3.6e-10 * cos[3.32158458257 + 16207.886271502 * tau] + 3.6e-10 * cos[3.72187132496 + 30774.5016425748 * tau] + 4.0e-10 * cos[5.13217319067 + 15664.03552270859 * tau] + 3.6e-10 * cos[1.68167662194 + 10344.2950653858 * tau] + 4.0e-10 * cos[4.35214003837 + 48739.859897083 * tau] + 3.9e-10 * cos[0.85957361635 + 16522.6597160022 * tau] + 3.8e-10 * cos[2.20108541046 + 28628.3362260996 * tau] + 3.7e-10 * cos[4.27532649462 + 6709.6740408674 * tau] + 3.8e-10 * cos[0.9597092595 + 664.75604513 * tau] + 3.7e-10 * cos[1.29390383811 + 310.8407988684 * tau] + 4.3e-10 * cos[1.14078465002 + 49.7570254718 * tau] + 4.5e-10 * cos[3.73714372195 + 7875.6718636242 * tau] + 4.0e-10 * cos[5.83461945819 + 16193.65917750039 * tau] + 4.3e-10 * cos[2.20648228147 + 13521.7514415914 * tau] + 3.9e-10 * cos[4.61184303844 + 95.9792272178 * tau] + 3.8e-10 * cos[3.49190341464 + 226858.23855437008 * tau] + 4.0e-10 * cos[2.57120233428 + 24356.7807886416 * tau] + 4.2e-10 * cos[5.19292937193 + 19004.6479494084 * tau] + 4.1e-10 * cos[5.04048954693 + 27832.0382192832 * tau] + 5.3e-10 * cos[3.64791042082 + 11925.2740926006 * tau] + 4.0e-10 * cos[0.04502010161 + 38526.574350872 * tau] + 4.0e-10 * cos[2.92105728682 + 21548.9623692918 * tau] + 4.5e-10 * cos[5.4557501753 + 60530.4889857418 * tau] + 4.8e-10 * cos[6.26034008181 + 28286.9904848612 * tau] + 4.1e-10 * cos[0.74461854136 + 23937.856389741 * tau] + 4.3e-10 * cos[1.94164978061 + 1903.4368125012 * tau] + 4.0e-10 * cos[1.81891629936 + 34596.3646546524 * tau] + 5.2e-10 * cos[3.65266055509 + 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cos[2.31829670425 + 16730.4636895958 * tau] + 1.248e-8 * cos[3.44504937285 + 536.8045120954 * tau] + 1.144e-8 * cos[3.24444699514 + 12168.0026965746 * tau] + 1.268e-8 * cos[2.09196018331 + 6290.1893969922 * tau] + 1.551e-8 * cos[3.07665451458 + 6681.2248533996 * tau] + 1.250e-8 * cos[3.07748157144 + 11926.2544136688 * tau] + 1.284e-8 * cos[3.08524663344 + 5643.1785636774 * tau] + 1.340e-8 * cos[5.76511818622 + 6040.3472460174 * tau] + 1.359e-8 * cos[4.24532506641 + 426.598190876 * tau] + 1.375e-8 * cos[3.09301252193 + 135.0650800354 * tau] + 1.427e-8 * cos[1.19088061711 + 3894.1818295422 * tau] + 1.542e-8 * cos[4.20004448567 + 13367.9726311066 * tau] + 1.590e-8 * cos[4.63713748247 + 3.2863574178 * tau] + 1.569e-8 * cos[6.12410242782 + 5216.5803728014 * tau] + 1.772e-8 * cos[3.02622802353 + 5753.3848848968 * tau] + 2.075e-8 * cos[2.26767270157 + 522.5774180938 * tau] + 2.029e-8 * cos[0.90960209983 + 6256.7775301916 * tau] + 1.778e-8 * cos[3.02473091781 + 5.5229243074 * tau] + 1.794e-8 * cos[1.47435409831 + 4164.311989613 * tau] + 2.060e-8 * cos[2.54987293999 + 25132.3033999656 * tau] + 1.875e-8 * cos[4.73511970207 + 83996.84731811189 * tau] + 1.886e-8 * cos[0.53198320577 + 3340.6124266998 * tau] + 2.148e-8 * cos[5.20184578235 + 11513.8833167944 * tau] + 2.252e-8 * cos[5.67166499885 + 11499.6562227928 * tau] + 2.061e-8 * cos[2.22411683077 + 5856.4776591154 * tau] + 2.075e-8 * cos[3.95534978634 + 10213.285546211 * tau] + 2.277e-8 * cos[5.00277837672 + 17789.845619785 * tau] + 3.250e-8 * cos[3.39954640038 + 7632.9432596502 * tau] + 2.745e-8 * cos[0.93466065396 + 5760.4984318976 * tau] + 2.531e-8 * cos[6.22290682655 + 6836.6452528338 * tau] + 2.697e-8 * cos[4.80368225199 + 7234.794256242 * tau] + 2.950e-8 * cos[1.43108874817 + 5746.271337896 * tau] + 3.504e-8 * cos[4.79975694359 + 6279.5527316424 * tau] + 2.900e-8 * cos[2.32464208411 + 20.3553193988 * tau] + 2.970e-8 * cos[6.07026318493 + 4292.3308329504 * tau] + 4.132e-8 * cos[5.23992859705 + 7084.8967811152 * tau] + 3.221e-8 * cos[0.61599835472 + 8429.2412664666 * tau] + 3.175e-8 * cos[3.18785710594 + 4705.7323075436 * tau] + 3.374e-8 * cos[0.88776219727 + 12036.4607348882 * tau] + 3.372e-8 * cos[3.86210700128 + 1592.5960136328 * tau] + 3.558e-8 * cos[2.42901552681 + 14143.4952424306 * tau] + 3.744e-8 * cos[2.00119516488 + 8031.0922630584 * tau] + 5.198e-8 * cos[1.85353197345 + 801.8209311238 * tau] + 4.259e-8 * cos[0.77355900599 + 10447.3878396044 * tau] + 5.041e-8 * cos[1.42490103709 + 6438.4962494256 * tau] + 4.330e-8 * cos[0.24102555403 + 6812.766815086 * tau] + 6.101e-8 * cos[4.66632584188 + 4690.4798363586 * tau] + 5.305e-8 * cos[0.90857521574 + 3154.6870848956 * tau] + 5.223e-8 * cos[5.66135767624 + 71430.69561812909 * tau] + 6.385e-8 * cos[2.65033984967 + 9437.762934887 * tau] + 5.834e-8 * cos[1.76649917904 + 1059.3819301892 * tau] + 7.576e-8 * cos[5.30062664886 + 2352.8661537718 * tau] + 1.0641e-7 * cos[0.76614199202 + 553.5694028424 * tau] + 8.577e-8 * cos[5.64475868067 + 951.7184062506 * tau] + 1.1808e-7 * cos[5.2737979048 + 1194.4470102246 * tau] + 1.2461e-7 * cos[2.83432285512 + 1748.016413067 * tau] + 9.452e-8 * cos[2.69957062864 + 242.728603974 * tau] + 9.969e-8 * cos[1.30262991097 + 6286.5989683404 * tau] + 9.721e-8 * cos[4.23925472239 + 1349.8674096588 * tau] + 1.1514e-7 * cos[2.07502418155 + 4694.0029547076 * tau] + 1.1877e-7 * cos[3.25804815607 + 5088.6288397668 * tau] + 1.4615e-7 * cos[1.20532366323 + 10977.078804699 * tau] + 1.5832e-7 * cos[1.43049285325 + 2146.1654164752 * tau] + 1.7293e-7 * cos[2.99116864949 + 6275.9623029906 * tau] + 1.6233e-7 * cos[0.03216483047 + 2544.3144198834 * tau] + 1.8508e-7 * cos[4.96855124577 + 213.299095438 * tau] + 2.0844e-7 * cos[5.34138275149 + 0.9803210682 * tau] + 1.9097e-7 * cos[1.84628332577 + 5486.777843175 * tau] + 2.8958e-7 * cos[2.64707383882 + 7.1135470008 * tau] + 3.6369e-7 * cos[0.46624739835 + 775.522611324 * tau] + 4.5407e-7 * cos[0.39803079805 + 796.2980068164 * tau] + 5.5976e-7 * cos[2.17471680261 + 155.4203994342 * tau] + 5.9027e-7 * cos[2.8879703846 + 5223.6939198022 * tau] + 6.7327e-7 * cos[4.40918235168 + 5507.5532386674 * tau] + 6.7768e-7 * cos[1.87472304791 + 398.1490034082 * tau] + 7.2122e-7 * cos[1.13846158196 + 529.6909650946 * tau] + 0.00000119261 * cos[5.79557487799 + 26.2983197998 * tau] + 9.3478e-7 * cos[2.59212835365 + 18849.2275499742 * tau] + 0.00000108977 * cos[2.96618001993 + 1577.3435424478 * tau] + 0.00000425264 * cos[1.59046980729 + 3.523118349 * tau] + 0.0000430343 * cos[2.63512650414 + 12566.1516999828 * tau] + 0.00206058863 * cos[2.67823455584 + 6283.0758499914 * tau] + 6283.31966747491 * cos[0.0 + 0.0 * tau]; L2 = 1.0e-10 * cos[4.93364992366 + 12352.8526045448 * tau] + 1.1e-10 * cos[3.05005267431 + 17260.1546546904 * tau] + 1.0e-10 * cos[1.40815507226 + 10988.808157535 * tau] + 1.1e-10 * cos[5.38005490571 + 11790.6290886588 * tau] + 1.0e-10 * cos[4.82763996845 + 13095.8426650774 * tau] + 1.2e-10 * cos[1.85426309994 + 5856.4776591154 * tau] + 1.3e-10 * cos[0.33982116161 + 4933.2084403326 * tau] + 1.3e-10 * cos[1.68808165516 + 4535.0594369244 * tau] + 1.6e-10 * cos[5.55997534558 + 8827.3902698748 * tau] + 1.9e-10 * cos[4.93309333729 + 2942.4634232916 * tau] + 1.4e-10 * cos[0.98131213224 + 12559.038152982 * tau] + 1.9e-10 * cos[3.92233070499 + 19651.048481098 * tau] + 2.1e-10 * cos[1.75474323399 + 12139.5535091068 * tau] + 1.9e-10 * cos[0.57998702747 + 31415.379249957 * tau] + 1.9e-10 * cos[4.95020255309 + 3930.2096962196 * tau] + 1.9e-10 * cos[2.20135125199 + 18073.7049386502 * tau] + 1.9e-10 * cos[3.14329413716 + 6496.3749454294 * tau] + 2.3e-10 * cos[3.49782549797 + 7477.522860216 * tau] + 2.5e-10 * cos[1.38477355808 + 65147.6197681377 * tau] + 2.3e-10 * cos[4.41808025967 + 5884.9268465832 * tau] + 3.0e-10 * cos[3.53519084118 + 6284.0561710596 * tau] + 2.6e-10 * cos[1.50634201907 + 154717.60988768269 * tau] + 3.5e-10 * cos[3.7969999668 + 143571.32428481648 * tau] + 3.2e-10 * cos[5.52273255667 + 5753.3848848968 * tau] + 2.9e-10 * cos[3.11002782516 + 4136.9104335162 * tau] + 2.9e-10 * cos[3.47275229977 + 13119.72110282519 * tau] + 3.0e-10 * cos[5.31355708693 + 18319.5365848796 * tau] + 3.0e-10 * cos[4.50198402401 + 23543.23050468179 * tau] + 3.7e-10 * cos[2.89336088688 + 12721.572099417 * tau] + 3.5e-10 * cos[0.80004512129 + 13916.0191096416 * tau] + 3.5e-10 * cos[0.62517020593 + 25158.6017197654 * tau] + 3.3e-10 * cos[5.23130355867 + 5331.3574437408 * tau] + 3.5e-10 * cos[0.96229051027 + 17298.1823273262 * tau] + 3.7e-10 * cos[0.31656444326 + 24356.7807886416 * tau] + 3.5e-10 * cos[5.76973458495 + 12569.6748183318 * tau] + 3.7e-10 * cos[3.12495025087 + 16200.7727245012 * tau] + 5.3e-10 * cos[6.17052087143 + 233141.31440436149 * tau] + 4.1e-10 * cos[5.81722212845 + 709.9330485583 * tau] + 5.6e-10 * cos[4.34024451468 + 90955.5516944961 * tau] + 4.1e-10 * cos[5.67996766641 + 11712.9553182308 * tau] + 4.2e-10 * cos[0.6348125893 + 2699.7348193176 * tau] + 4.3e-10 * cos[3.30685683359 + 9779.1086761254 * tau] + 4.5e-10 * cos[1.0086123016 + 8635.9420037632 * tau] + 5.7e-10 * cos[4.96352373486 + 14945.3161735544 * tau] + 4.4e-10 * cos[1.52269529228 + 12168.0026965746 * tau] + 5.0e-10 * cos[3.86263598617 + 5729.506447149 * tau] + 4.6e-10 * cos[5.43499966519 + 6275.9623029906 * tau] + 6.4e-10 * cos[5.79535817813 + 2388.8940204492 * tau] + 4.8e-10 * cos[5.43966777314 + 20426.571092422 * tau] + 5.5e-10 * cos[5.24637517308 + 3340.6124266998 * tau] + 6.7e-10 * cos[3.62043033405 + 16496.3613962024 * tau] + 8.5e-10 * cos[0.50956043858 + 10575.4066829418 * tau] + 7.8e-10 * cos[3.51469733747 + 11856.2186514245 * tau] + 6.3e-10 * cos[1.4434990254 + 9917.6968745098 * tau] + 7.6e-10 * cos[2.72016814799 + 4164.311989613 * tau] + 6.7e-10 * cos[5.5124099707 + 3097.88382272579 * tau] + 6.6e-10 * cos[0.99455837265 + 6525.8044539654 * tau] + 8.9e-10 * cos[1.35567273119 + 6681.2248533996 * tau] + 6.9e-10 * cos[1.8890876072 + 10177.2576795336 * tau] + 8.7e-10 * cos[0.42863750683 + 11015.1064773348 * tau] + 7.5e-10 * cos[4.89483161769 + 5643.1785636774 * tau] + 1.02e-9 * cos[3.62650006043 + 244287.60000722769 * tau] + 1.06e-9 * cos[4.10978997399 + 3496.032826134 * tau] + 8.0e-10 * cos[5.41418965044 + 10973.55568635 * tau] + 8.0e-10 * cos[4.73792651816 + 11926.2544136688 * tau] + 1.02e-9 * cos[2.05853060226 + 87.30820453981 * tau] + 9.7e-10 * cos[5.57938280855 + 13367.9726311066 * tau] + 8.9e-10 * cos[4.21433259618 + 83996.84731811189 * tau] + 8.4e-10 * cos[3.57457554262 + 16730.4636895958 * tau] + 1.06e-9 * cos[5.85646710022 + 7860.4193924392 * tau] + 1.26e-9 * cos[2.65428307012 + 88860.05707098669 * tau] + 9.2e-10 * cos[5.10587476002 + 7079.3738568078 * tau] + 1.00e-9 * cos[0.85621569847 + 6290.1893969922 * tau] + 1.41e-9 * cos[2.34932647403 + 11506.7697697936 * tau] + 1.18e-9 * cos[0.45789822268 + 7058.5984613154 * tau] + 1.22e-9 * cos[2.16291082757 + 10213.285546211 * tau] + 1.28e-9 * cos[5.47237279946 + 12036.4607348882 * tau] + 1.27e-9 * cos[3.26094223174 + 17789.845619785 * tau] + 1.37e-9 * cos[2.21679460145 + 8429.2412664666 * tau] + 1.96e-9 * cos[6.06877865012 + 640.8776073822 * tau] + 1.50e-9 * cos[2.40470465561 + 426.598190876 * tau] + 1.55e-9 * cos[0.77319790838 + 14143.4952424306 * tau] + 2.21e-9 * cos[0.63897368842 + 6256.7775301916 * tau] + 1.78e-9 * cos[0.92820785174 + 1990.745017041 * tau] + 2.75e-9 * cos[0.67264264272 + 25132.3033999656 * tau] + 2.55e-9 * cos[5.26570187369 + 6812.766815086 * tau] + 2.52e-9 * cos[0.55330133471 + 6279.5527316424 * tau] + 2.30e-9 * cos[1.37790215549 + 4705.7323075436 * tau] + 2.98e-9 * cos[2.5203747421 + 6127.6554505572 * tau] + 2.76e-9 * cos[2.71314254553 + 3894.1818295422 * tau] + 2.82e-9 * cos[4.41936437052 + 9437.762934887 * tau] + 3.14e-9 * cos[3.18093696547 + 2352.8661537718 * tau] + 3.95e-9 * cos[4.93701776616 + 7632.9432596502 * tau] + 3.07e-9 * cos[3.55343347416 + 8031.0922630584 * tau] + 3.02e-9 * cos[1.91760044838 + 10447.3878396044 * tau] + 4.58e-9 * cos[3.81499443681 + 149854.40013480789 * tau] + 3.47e-9 * cos[0.67013291338 + 1059.3819301892 * tau] + 3.86e-9 * cos[1.57019797263 + 71430.69561812909 * tau] + 3.48e-9 * cos[0.99049550009 + 6040.3472460174 * tau] + 3.79e-9 * cos[3.17030522615 + 6309.3741697912 * tau] + 4.31e-9 * cos[0.03526421494 + 7234.794256242 * tau] + 4.58e-9 * cos[1.30876448575 + 4292.3308329504 * tau] + 4.90e-9 * cos[2.34129524194 + 1592.5960136328 * tau] + 5.02e-9 * cos[1.44394375363 + 6836.6452528338 * tau] + 6.43e-9 * cos[1.98042503148 + 801.8209311238 * tau] + 7.06e-9 * cos[6.19393222575 + 4690.4798363586 * tau] + 6.05e-9 * cos[2.47806340546 + 10977.078804699 * tau] + 6.81e-9 * cos[3.43155669169 + 4694.0029547076 * tau] + 6.45e-9 * cos[1.60096192515 + 2544.3144198834 * tau] + 8.87e-9 * cos[5.23465144638 + 7084.8967811152 * tau] + 1.044e-8 * cos[0.60409577691 + 3154.6870848956 * tau] + 7.62e-9 * cos[3.41582762988 + 5486.777843175 * tau] + 1.103e-8 * cos[1.27104454479 + 161000.6857376741 * tau] + 8.28e-9 * cos[3.31321076572 + 213.299095438 * tau] + 9.17e-9 * cos[4.79788687522 + 5088.6288397668 * tau] + 9.99e-9 * cos[5.98640014468 + 6286.5989683404 * tau] + 1.254e-8 * cos[2.94846826628 + 6438.4962494256 * tau] + 1.341e-8 * cos[3.72061130861 + 1194.4470102246 * tau] + 1.449e-8 * cos[4.3641591397 + 1748.016413067 * tau] + 1.224e-8 * cos[2.97328088405 + 2146.1654164752 * tau] + 1.534e-8 * cos[5.75900462759 + 1349.8674096588 * tau] + 1.675e-8 * cos[0.90216407959 + 951.7184062506 * tau] + 2.079e-8 * cos[3.75435330484 + 0.9803210682 * tau] + 2.538e-8 * cos[2.27992810679 + 553.5694028424 * tau] + 2.371e-8 * cos[4.38118838167 + 5223.6939198022 * tau] + 2.714e-8 * cos[0.30637881025 + 398.1490034082 * tau] + 3.810e-8 * cos[3.4405080349 + 5573.1428014331 * tau] + 2.886e-8 * cos[6.11652627155 + 529.6909650946 * tau] + 3.020e-8 * cos[1.19246506441 + 242.728603974 * tau] + 3.169e-8 * cos[6.05291851171 + 5507.5532386674 * tau] + 3.463e-8 * cos[5.14074632811 + 796.2980068164 * tau] + 4.061e-8 * cos[1.03057162962 + 7.1135470008 * tau] + 5.064e-8 * cos[4.66284525271 + 1577.3435424478 * tau] + 6.952e-8 * cos[0.8267330541 + 775.522611324 * tau] + 8.937e-8 * cos[2.05705419118 + 77713.7714681205 * tau] + 9.541e-8 * cos[0.75742297675 + 18849.2275499742 * tau] + 1.5752e-7 * cos[3.6845788943 + 155.4203994342 * tau] + 1.6334e-7 * cos[5.18826691036 + 26.2983197998 * tau] + 2.7339e-7 * cos[0.05297871691 + 3.523118349 * tau] + 0.00000309125 * cos[0.86728818832 + 12566.1516999828 * tau] + 0.00008719837 * cos[1.07209665242 + 6283.0758499914 * tau] + 0.0005291887 * cos[0.0 + 0.0 * tau]; L3 = 5e-11 * cos[4.28412873331 + 6275.9623029906 * tau] + 5e-11 * cos[3.76879847273 + 12036.4607348882 * tau] + 5e-11 * cos[2.71488713339 + 10977.078804699 * tau] + 7e-11 * cos[2.82473374405 + 83996.84731811189 * tau] + 8e-11 * cos[5.07561257196 + 6256.7775301916 * tau] + 8e-11 * cos[1.40626662824 + 11856.2186514245 * tau] + 9e-11 * cos[4.58467294499 + 1577.3435424478 * tau] + 1.7e-10 * cos[3.6777286393 + 71430.69561812909 * tau] + 1.7e-10 * cos[5.82863573502 + 6525.8044539654 * tau] + 2.3e-10 * cos[3.01921570335 + 6309.3741697912 * tau] + 2.4e-10 * cos[5.16003960716 + 25132.3033999656 * tau] + 3.6e-10 * cos[5.24029648014 + 6438.4962494256 * tau] + 6.7e-10 * cos[0.90721687647 + 6127.6554505572 * tau] + 7.2e-10 * cos[4.2976812618 + 6286.5989683404 * tau] + 4.02e-9 * cos[3.78682982419 + 553.5694028424 * tau] + 7.14e-9 * cos[5.30045809128 + 18849.2275499742 * tau] + 6.35e-9 * cos[5.96925937141 + 242.728603974 * tau] + 1.288e-8 * cos[4.72200252235 + 3.523118349 * tau] + 2.962e-8 * cos[5.19577265202 + 155.4203994342 * tau] + 1.6819e-7 * cos[5.48766912348 + 12566.1516999828 * tau] + 3.4955e-7 * cos[0.0 + 0.0 * tau] + 0.00000289226 * cos[5.84384198723 + 6283.0758499914 * tau]; L4 = 2e-11 * cos[0.54912904658 + 6438.4962494256 * tau] + 8e-11 * cos[2.84160570605 + 161000.6857376741 * tau] + 1.0e-10 * cos[5.6480176635 + 6127.6554505572 * tau] + 1.3e-10 * cos[0.48794833701 + 77713.7714681205 * tau] + 3.5e-10 * cos[5.00298940826 + 5573.1428014331 * tau] + 4.1e-10 * cos[3.14398414077 + 3.523118349 * tau] + 4.0e-10 * cos[3.5984758584 + 18849.2275499742 * tau] + 4.20e-9 * cos[0.41925861858 + 155.4203994342 * tau] + 7.65e-9 * cos[3.83803776214 + 12566.1516999828 * tau] + 7.717e-8 * cos[4.13446589358 + 6283.0758499914 * tau] + 0.00000114084 * cos[3.14159265359 + 0.0 * tau]; L5 = 5e-11 * cos[1.75600058765 + 18849.2275499742 * tau] + 2.8e-10 * cos[2.21496423926 + 12566.1516999828 * tau] + 5.0e-10 * cos[2.01353298182 + 155.4203994342 * tau] + 1.72e-9 * cos[2.7657906951 + 6283.0758499914 * tau] + 8.78e-9 * cos[3.14159265359 + 0.0 * tau]; B0 = 3.9e-10 * cos[3.1123991069 + 96900.81328129109 * tau] + 3.9e-10 * cos[3.28500401343 + 71768.50988132549 * tau] + 5.4e-10 * cos[3.38482031504 + 323049.11878710288 * tau] + 5.5e-10 * cos[5.81483150022 + 143233.51002162008 * tau] + 5.6e-10 * cos[2.60133794851 + 73188.3759784421 * tau] + 6.4e-10 * cos[5.51112830114 + 173904.65170085328 * tau] + 5.8e-10 * cos[4.28246138307 + 12559.038152982 * tau] + 7.6e-10 * cos[1.09869730846 + 12903.9659631792 * tau] + 7.7e-10 * cos[2.25530954137 + 5235.3285382367 * tau] + 8.7e-10 * cos[0.26630214764 + 31441.6775697568 * tau] + 7.5e-10 * cos[2.66367876557 + 16200.7727245012 * tau] + 7.5e-10 * cos[2.29836095644 + 3634.6210245184 * tau] + 8.2e-10 * cos[1.69647647075 + 1990.745017041 * tau] + 8.2e-10 * cos[4.95202664555 + 10575.4066829418 * tau] + 7.2e-10 * cos[1.55820597747 + 6256.7775301916 * tau] + 7.6e-10 * cos[6.22743405935 + 13521.7514415914 * tau] + 9.3e-10 * cos[4.31900620254 + 44809.6502008634 * tau] + 8.6e-10 * cos[5.2602963825 + 28313.288804661 * tau] + 1.00e-9 * cos[6.07733097102 + 26735.9452622132 * tau] + 7.7e-10 * cos[3.97199369296 + 1592.5960136328 * tau] + 9.4e-10 * cos[5.00001709261 + 150192.21439800429 * tau] + 1.01e-9 * cos[4.32892825857 + 36147.4098773004 * tau] + 1.02e-9 * cos[3.97386522171 + 10818.1352869158 * tau] + 1.02e-9 * cos[2.83545248411 + 12352.8526045448 * tau] + 1.04e-9 * cos[4.59580877295 + 1349.8674096588 * tau] + 8.7e-10 * cos[4.18201600952 + 22779.4372461938 * tau] + 1.22e-9 * cos[2.2395606868 + 83997.09113559539 * tau] + 8.7e-10 * cos[3.9363781295 + 17654.7805397496 * tau] + 1.05e-9 * cos[0.87192267806 + 77375.95720492408 * tau] + 1.21e-9 * cos[5.19767249813 + 27511.4678735372 * tau] + 1.23e-9 * cos[1.37488922089 + 28286.9904848612 * tau] + 9.9e-10 * cos[4.45774681732 + 4933.2084403326 * tau] + 9.3e-10 * cos[2.62295197319 + 17260.1546546904 * tau] + 9.7e-10 * cos[1.07908724794 + 9917.6968745098 * tau] + 9.9e-10 * cos[0.69018940049 + 12779.4507954208 * tau] + 1.15e-9 * cos[3.10668213289 + 14712.317116458 * tau] + 1.20e-9 * cos[5.60638811846 + 5650.2921106782 * tau] + 1.20e-9 * cos[1.04211499785 + 6915.8595893046 * tau] + 1.27e-9 * cos[4.74596574209 + 49515.382508407 * tau] + 1.17e-9 * cos[3.6506527164 + 45585.1728121874 * tau] + 1.18e-9 * cos[5.5973871267 + 161338.5000008705 * tau] + 1.39e-9 * cos[6.17607198418 + 24356.7807886416 * tau] + 1.06e-9 * cos[3.71081682629 + 14314.1681130498 * tau] + 1.10e-9 * cos[5.34824206306 + 639.897286314 * tau] + 1.19e-9 * cos[5.92110458985 + 33019.0211122046 * tau] + 1.48e-9 * cos[0.65447253687 + 95480.9471841745 * tau] + 1.08e-9 * cos[5.45280814878 + 7.1135470008 * tau] + 1.47e-9 * cos[4.63371971408 + 22805.7355659936 * tau] + 1.10e-9 * cos[3.51203379263 + 18052.9295431578 * tau] + 1.36e-9 * cos[2.92179113542 + 32217.2001810808 * tau] + 1.37e-9 * cos[3.52143246757 + 12139.5535091068 * tau] + 1.16e-9 * cos[6.06340906229 + 6709.6740408674 * tau] + 1.42e-9 * cos[3.95053441332 + 337.8142631964 * tau] + 1.26e-9 * cos[1.1767551291 + 14919.0178537546 * tau] + 1.22e-9 * cos[2.72678272244 + 18849.2275499742 * tau] + 1.23e-9 * cos[1.66800739151 + 15110.4661198662 * tau] + 1.78e-9 * cos[3.8037517797 + 23581.2581773176 * tau] + 1.35e-9 * cos[0.21349051064 + 10988.808157535 * tau] + 1.55e-9 * cos[1.5959543823 + 10021.8372800994 * tau] + 1.60e-9 * cos[2.49298855159 + 12592.4500197826 * tau] + 1.64e-9 * cos[5.18686275017 + 5481.2549188676 * tau] + 1.88e-9 * cos[2.22746128596 + 41654.9631159678 * tau] + 1.82e-9 * cos[3.161079435 + 16730.4636895958 * tau] + 1.72e-9 * cos[2.09694183014 + 13095.8426650774 * tau] + 1.91e-9 * cos[4.53897489299 + 18477.1087646123 * tau] + 2.25e-9 * cos[3.18339652605 + 18875.525869774 * tau] + 2.09e-9 * cos[3.87759458598 + 17789.845619785 * tau] + 2.49e-9 * cos[0.12900984422 + 154379.79562448629 * tau] + 1.81e-9 * cos[6.00294783127 + 4292.3308329504 * tau] + 2.10e-9 * cos[4.50691909144 + 29088.811415985 * tau] + 2.56e-9 * cos[2.4092327977 + 19651.048481098 * tau] + 1.99e-9 * cos[5.05186622555 + 5429.8794682394 * tau] + 2.09e-9 * cos[3.72323200804 + 10973.55568635 * tau] + 2.77e-9 * cos[4.65400292395 + 82239.16695779889 * tau] + 2.00e-9 * cos[5.86073159059 + 4535.0594369244 * tau] + 2.33e-9 * cos[5.03509933858 + 20426.571092422 * tau] + 2.30e-9 * cos[0.36165162947 + 5863.5912061162 * tau] + 2.16e-9 * cos[3.68721275185 + 5849.3641121146 * tau] + 3.16e-9 * cos[1.62662805006 + 250908.49012041549 * tau] + 2.36e-9 * cos[2.46093023714 + 11371.7046897582 * tau] + 3.06e-9 * cos[2.79682380531 + 1748.016413067 * tau] + 2.63e-9 * cos[6.22089501237 + 6133.5126528568 * tau] + 2.66e-9 * cos[2.62926282354 + 7238.6755916 * tau] + 2.50e-9 * cos[4.56452895547 + 7477.522860216 * tau] + 2.65e-9 * cos[6.10358507671 + 6836.6452528338 * tau] + 2.57e-9 * cos[5.81382809757 + 426.598190876 * tau] + 3.05e-9 * cos[0.80429352049 + 37724.7534197482 * tau] + 2.92e-9 * cos[1.38971327603 + 11769.8536931664 * tau] + 3.13e-9 * cos[5.47602376446 + 1194.4470102246 * tau] + 3.20e-9 * cos[3.94161159962 + 7330.8231617461 * tau] + 3.79e-9 * cos[1.72248432748 + 14945.3161735544 * tau] + 2.84e-9 * cos[5.64170320068 + 1589.0728952838 * tau] + 3.22e-9 * cos[1.21162178805 + 8662.240323563 * tau] + 3.96e-9 * cos[1.22507712354 + 6438.4962494256 * tau] + 4.18e-9 * cos[3.75759994446 + 5230.807466803 * tau] + 3.61e-9 * cos[2.97762937739 + 9623.6882766912 * tau] + 3.73e-9 * cos[2.65119262792 + 7342.4577801806 * tau] + 3.87e-9 * cos[3.09145061418 + 25158.6017197654 * tau] + 4.15e-9 * cos[0.96862624175 + 4136.9104335162 * tau] + 3.53e-9 * cos[4.7005913311 + 7234.794256242 * tau] + 3.63e-9 * cos[1.28376436579 + 6206.8097787158 * tau] + 3.65e-9 * cos[0.01002966162 + 12168.0026965746 * tau] + 4.17e-9 * cos[0.81920713533 + 5216.5803728014 * tau] + 5.03e-9 * cos[4.85802444134 + 6290.1893969922 * tau] + 4.04e-9 * cos[1.46193297142 + 15720.8387848784 * tau] + 4.27e-9 * cos[3.6743437821 + 213.299095438 * tau] + 5.52e-9 * cos[1.02926440457 + 239762.20451754928 * tau] + 5.04e-9 * cos[3.2620766916 + 7632.9432596502 * tau] + 4.23e-9 * cos[2.86944595927 + 12566.1516999828 * tau] + 4.38e-9 * cos[0.06707733767 + 3128.3887650958 * tau] + 4.83e-9 * cos[1.57106522411 + 801.8209311238 * tau] + 5.03e-9 * cos[5.66433137112 + 33794.5437235286 * tau] + 5.30e-9 * cos[5.739792952 + 8827.3902698748 * tau] + 5.92e-9 * cos[4.59481504319 + 4690.4798363586 * tau] + 5.94e-9 * cos[3.49580704962 + 16496.3613962024 * tau] + 6.02e-9 * cos[4.09976538826 + 64809.80550494129 * tau] + 7.51e-9 * cos[1.67479850166 + 21228.3920235458 * tau] + 8.02e-9 * cos[5.1233913723 + 2942.4634232916 * tau] + 7.46e-9 * cos[0.57893808616 + 796.2980068164 * tau] + 7.08e-9 * cos[1.91406542362 + 8031.0922630584 * tau] + 7.14e-9 * cos[1.37548118603 + 2146.1654164752 * tau] + 7.55e-9 * cos[2.8963187332 + 4732.0306273434 * tau] + 8.50e-9 * cos[4.24120016095 + 29864.334027309 * tau] + 1.039e-8 * cos[3.14159265359 + 0.0 * tau] + 7.42e-9 * cos[1.99159139281 + 26087.9031415742 * tau] + 9.15e-9 * cos[0.12635654592 + 11015.1064773348 * tau] + 8.24e-9 * cos[1.50984806173 + 10447.3878396044 * tau] + 9.88e-9 * cos[5.97286104208 + 7079.3738568078 * tau] + 8.67e-9 * cos[0.55606931068 + 8429.2412664666 * tau] + 9.24e-9 * cos[3.06451026812 + 4164.311989613 * tau] + 9.94e-9 * cos[4.30088900425 + 9225.539273283 * tau] + 1.114e-8 * cos[2.37889311846 + 3738.761430108 * tau] + 1.183e-8 * cos[1.29343061246 + 775.522611324 * tau] + 1.693e-8 * cos[4.95689385293 + 156475.2902479957 * tau] + 1.481e-8 * cos[3.65823554806 + 11506.7697697936 * tau] + 1.478e-8 * cos[2.81808207569 + 25934.1243310894 * tau] + 1.391e-8 * cos[4.69964175561 + 7058.5984613154 * tau] + 1.595e-8 * cos[0.25619915135 + 17298.1823273262 * tau] + 1.421e-8 * cos[6.25530883827 + 2544.3144198834 * tau] + 1.581e-8 * cos[3.19976230948 + 5088.6288397668 * tau] + 1.517e-8 * cos[1.95852055701 + 398.1490034082 * tau] + 1.888e-8 * cos[0.86991545823 + 8635.9420037632 * tau] + 2.226e-8 * cos[2.79699346659 + 12036.4607348882 * tau] + 1.813e-8 * cos[3.75574218285 + 3340.6124266998 * tau] + 2.257e-8 * cos[3.15557225618 + 90617.7374312997 * tau] + 2.120e-8 * cos[4.30691000285 + 5643.1785636774 * tau] + 2.428e-8 * cos[3.24183056052 + 78051.5857313169 * tau] + 2.684e-8 * cos[1.39470396488 + 22003.9146348698 * tau] + 2.319e-8 * cos[5.01648216014 + 1059.3819301892 * tau] + 2.502e-8 * cos[0.60499729367 + 6496.3749454294 * tau] + 2.797e-8 * cos[5.61259275048 + 11790.6290886588 * tau] + 2.918e-8 * cos[1.95463881126 + 10977.078804699 * tau] + 3.670e-8 * cos[4.58210192227 + 12194.0329146209 * tau] + 3.617e-8 * cos[6.04641937526 + 3930.2096962196 * tau] + 3.420e-8 * cos[5.42034800952 + 6069.7767545534 * tau] + 3.681e-8 * cos[0.43793170356 + 3154.6870848956 * tau] + 4.093e-8 * cos[5.11700141207 + 13367.9726311066 * tau] + 3.849e-8 * cos[1.82229412531 + 5486.777843175 * tau] + 4.301e-8 * cos[1.10255777773 + 6681.2248533996 * tau] + 4.743e-8 * cos[0.70995680136 + 5884.9268465832 * tau] + 5.579e-8 * cos[4.41023653738 + 7860.4193924392 * tau] + 4.529e-8 * cos[2.33827747356 + 6309.3741697912 * tau] + 5.208e-8 * cos[6.24992674537 + 18073.7049386502 * tau] + 5.285e-8 * cos[2.48446991566 + 4705.7323075436 * tau] + 7.698e-8 * cos[5.55425745881 + 167621.57585086189 * tau] + 7.194e-8 * cos[3.60193205752 + 529.6909650946 * tau] + 9.145e-8 * cos[1.14182646613 + 6620.8901131878 * tau] + 6.921e-8 * cos[4.32559054073 + 6275.9623029906 * tau] + 8.366e-8 * cos[4.9925151218 + 7084.8967811152 * tau] + 8.775e-8 * cos[4.44016515669 + 5753.3848848968 * tau] + 1.0367e-7 * cos[4.05663927946 + 71092.88135493269 * tau] + 9.714e-8 * cos[3.47303947752 + 4694.0029547076 * tau] + 1.0900e-7 * cos[2.08574562327 + 6812.766815086 * tau] + 1.1246e-7 * cos[4.8282069053 + 14143.4952424306 * tau] + 1.4304e-7 * cos[3.41117857525 + 10213.285546211 * tau] + 1.4443e-7 * cos[3.70275614914 + 9437.762934887 * tau] + 1.8141e-7 * cos[4.98367470263 + 6283.0758499914 * tau] + 1.6392e-7 * cos[3.56456119782 + 5856.4776591154 * tau] + 2.2724e-7 * cos[3.9847383156 + 1047.7473117547 * tau] + 3.1933e-7 * cos[4.00026369781 + 1577.3435424478 * tau] + 4.3806e-7 * cos[3.70444689758 + 2352.8661537718 * tau] + 8.0445e-7 * cos[3.88013204458 + 5223.6939198022 * tau] + 0.00000101643 * cos[5.42248619256 + 5507.5532386674 * tau] + 0.0000027962 * cos[3.19870156017 + 84334.66158130829 * tau]; B1 = 1.9e-10 * cos[0.85407021371 + 14712.317116458 * tau] + 1.8e-10 * cos[1.58348238359 + 2118.7638603784 * tau] + 2.1e-10 * cos[4.00149269576 + 3154.6870848956 * tau] + 2.0e-10 * cos[3.74220084927 + 1589.0728952838 * tau] + 2.0e-10 * cos[0.03081589303 + 6418.1409300268 * tau] + 2.0e-10 * cos[0.90769829044 + 5481.2549188676 * tau] + 2.0e-10 * cos[3.4761126529 + 6148.010769956 * tau] + 2.2e-10 * cos[5.02222806555 + 6127.6554505572 * tau] + 2.1e-10 * cos[0.69628570421 + 398.1490034082 * tau] + 2.1e-10 * cos[5.83006047147 + 7234.794256242 * tau] + 2.0e-10 * cos[3.85655029499 + 9623.6882766912 * tau] + 2.6e-10 * cos[2.48165809843 + 5729.506447149 * tau] + 2.8e-10 * cos[5.78094918529 + 15110.4661198662 * tau] + 2.8e-10 * cos[1.96831814872 + 6286.6662786432 * tau] + 2.8e-10 * cos[1.53862289477 + 6279.4854213396 * tau] + 2.3e-10 * cos[4.4438898555 + 18849.2275499742 * tau] + 2.7e-10 * cos[0.60565274405 + 10988.808157535 * tau] + 2.6e-10 * cos[3.71858432944 + 13095.8426650774 * tau] + 3.3e-10 * cos[0.93797239147 + 213.299095438 * tau] + 2.6e-10 * cos[6.26376705837 + 23543.23050468179 * tau] + 3.1e-10 * cos[1.44666331503 + 16730.4636895958 * tau] + 2.6e-10 * cos[5.94932724051 + 16496.3613962024 * tau] + 2.6e-10 * cos[3.88971333608 + 5331.3574437408 * tau] + 2.8e-10 * cos[6.03334294232 + 17789.845619785 * tau] + 2.8e-10 * cos[4.38359423735 + 7632.9432596502 * tau] + 4.1e-10 * cos[4.86809570283 + 1592.5960136328 * tau] + 3.2e-10 * cos[6.03707103538 + 2942.4634232916 * tau] + 3.6e-10 * cos[0.40465162918 + 6283.0085396886 * tau] + 3.6e-10 * cos[6.24373396652 + 6283.14316029419 * tau] + 3.8e-10 * cos[2.00673650251 + 426.598190876 * tau] + 4.6e-10 * cos[1.65798680284 + 25158.6017197654 * tau] + 3.7e-10 * cos[5.86153655431 + 12566.1516999828 * tau] + 3.7e-10 * cos[6.09033460601 + 64809.80550494129 * tau] + 5.0e-10 * cos[3.62740835096 + 41654.9631159678 * tau] + 4.5e-10 * cos[4.95273290181 + 5863.5912061162 * tau] + 4.1e-10 * cos[5.91861144924 + 23581.2581773176 * tau] + 4.1e-10 * cos[5.5532939489 + 11015.1064773348 * tau] + 4.7e-10 * cos[2.9721490724 + 20426.571092422 * tau] + 5.0e-10 * cos[1.89396788463 + 12139.5535091068 * tau] + 5.6e-10 * cos[5.47982934911 + 775.522611324 * tau] + 5.7e-10 * cos[0.11215813438 + 29088.811415985 * tau] + 4.9e-10 * cos[1.60680905005 + 6702.5604938666 * tau] + 4.7e-10 * cos[3.325438433 + 26087.9031415742 * tau] + 4.7e-10 * cos[2.09070235724 + 3128.3887650958 * tau] + 6.1e-10 * cos[0.63918772258 + 33794.5437235286 * tau] + 6.3e-10 * cos[4.45586625948 + 7079.3738568078 * tau] + 7.4e-10 * cos[2.20184828895 + 37724.7534197482 * tau] + 7.1e-10 * cos[2.86755026812 + 6681.2248533996 * tau] + 7.2e-10 * cos[0.21891639822 + 21228.3920235458 * tau] + 9.7e-10 * cos[5.50959692365 + 29864.334027309 * tau] + 7.9e-10 * cos[2.24085737326 + 1059.3819301892 * tau] + 8.2e-10 * cos[4.2921468039 + 8635.9420037632 * tau] + 1.03e-9 * cos[0.93782340879 + 8827.3902698748 * tau] + 9.9e-10 * cos[2.70727488041 + 5216.5803728014 * tau] + 1.09e-9 * cos[2.52157834166 + 6438.4962494256 * tau] + 1.43e-9 * cos[0.0 + 0.0 * tau] + 1.28e-9 * cos[4.35489873365 + 25934.1243310894 * tau] + 1.16e-9 * cos[5.83462858507 + 4705.7323075436 * tau] + 1.21e-9 * cos[4.36722193162 + 19651.048481098 * tau] + 1.61e-9 * cos[3.32421999691 + 6283.3196674749 * tau] + 1.18e-9 * cos[5.39979058038 + 3340.6124266998 * tau] + 1.49e-9 * cos[5.06157254516 + 17298.1823273262 * tau] + 1.50e-9 * cos[2.00175038718 + 5230.807466803 * tau] + 1.21e-9 * cos[5.90212574947 + 9225.539273283 * tau] + 1.80e-9 * cos[2.06509026215 + 7084.8967811152 * tau] + 1.37e-9 * cos[2.67760436027 + 6290.1893969922 * tau] + 1.44e-9 * cos[1.16454655948 + 90617.7374312997 * tau] + 1.44e-9 * cos[5.23285656085 + 78051.5857313169 * tau] + 1.54e-9 * cos[5.99434678412 + 5486.777843175 * tau] + 1.57e-9 * cos[1.08259734788 + 5643.1785636774 * tau] + 2.12e-9 * cos[1.57166285369 + 4694.0029547076 * tau] + 1.66e-9 * cos[1.74970002999 + 11506.7697697936 * tau] + 2.20e-9 * cos[3.99305643742 + 6812.766815086 * tau] + 1.85e-9 * cos[4.93512381859 + 12036.4607348882 * tau] + 2.02e-9 * cos[2.81892511133 + 15720.8387848784 * tau] + 2.04e-9 * cos[3.86264841382 + 6496.3749454294 * tau] + 2.32e-9 * cos[2.93325646109 + 22003.9146348698 * tau] + 2.16e-9 * cos[6.05952221329 + 10977.078804699 * tau] + 2.32e-9 * cos[0.26781182579 + 7058.5984613154 * tau] + 3.22e-9 * cos[0.94084045832 + 6069.7767545534 * tau] + 2.68e-9 * cos[2.34341267879 + 11790.6290886588 * tau] + 3.72e-9 * cos[3.2247072132 + 6275.9623029906 * tau] + 3.64e-9 * cos[3.61614477374 + 13367.9726311066 * tau] + 4.51e-9 * cos[1.53288619213 + 18073.7049386502 * tau] + 4.73e-9 * cos[6.22750969242 + 6309.3741697912 * tau] + 5.24e-9 * cos[5.65662503159 + 529.6909650946 * tau] + 5.81e-9 * cos[2.26949174067 + 5884.9268465832 * tau] + 8.65e-9 * cos[1.73949953555 + 3930.2096962196 * tau] + 9.82e-9 * cos[0.09005453285 + 14143.4952424306 * tau] + 1.021e-8 * cos[0.12866660208 + 7860.4193924392 * tau] + 1.233e-8 * cos[4.95222451476 + 10213.285546211 * tau] + 1.301e-8 * cos[2.18890066314 + 9437.762934887 * tau] + 1.466e-8 * cos[5.69401926017 + 5753.3848848968 * tau] + 1.499e-8 * cos[1.83320979291 + 5856.4776591154 * tau] + 1.817e-8 * cos[0.41874743765 + 6283.0758499914 * tau] + 2.834e-8 * cos[2.4734503745 + 1577.3435424478 * tau] + 3.800e-8 * cos[5.24404145734 + 2352.8661537718 * tau] + 6.177e-8 * cos[1.73038850355 + 5223.6939198022 * tau] + 9.030e-8 * cos[3.8972906189 + 5507.5532386674 * tau]; B2 = 9e-11 * cos[5.94191743597 + 7632.9432596502 * tau] + 1.3e-10 * cos[0.98720797401 + 5729.506447149 * tau] + 1.0e-10 * cos[5.15032130575 + 11371.7046897582 * tau] + 1.1e-10 * cos[3.80913404437 + 801.8209311238 * tau] + 1.0e-10 * cos[3.22472385926 + 9437.762934887 * tau] + 1.4e-10 * cos[4.66400985037 + 8031.0922630584 * tau] + 1.0e-10 * cos[4.4529653271 + 6525.8044539654 * tau] + 1.1e-10 * cos[2.39292099451 + 5331.3574437408 * tau] + 1.4e-10 * cos[5.27227350286 + 4535.0594369244 * tau] + 1.1e-10 * cos[5.328765385 + 6040.3472460174 * tau] + 1.1e-10 * cos[0.61684523405 + 3128.3887650958 * tau] + 1.4e-10 * cos[4.81029291856 + 4694.0029547076 * tau] + 1.5e-10 * cos[6.05682328852 + 398.1490034082 * tau] + 1.2e-10 * cos[4.89407978213 + 3738.761430108 * tau] + 1.3e-10 * cos[3.79842135217 + 4933.2084403326 * tau] + 1.2e-10 * cos[5.13714452592 + 7079.3738568078 * tau] + 1.2e-10 * cos[1.12953712197 + 90617.7374312997 * tau] + 1.3e-10 * cos[1.21201504386 + 25132.3033999656 * tau] + 1.7e-10 * cos[0.21780913672 + 6283.14316029419 * tau] + 1.8e-10 * cos[2.85221514199 + 5088.6288397668 * tau] + 1.5e-10 * cos[1.17032155085 + 213.299095438 * tau] + 1.7e-10 * cos[1.35132152761 + 78051.5857313169 * tau] + 1.5e-10 * cos[0.4308784885 + 11790.6290886588 * tau] + 1.7e-10 * cos[2.79601092529 + 796.2980068164 * tau] + 2.1e-10 * cos[1.36972913918 + 12036.4607348882 * tau] + 1.7e-10 * cos[1.78116162721 + 5486.777843175 * tau] + 1.7e-10 * cos[4.23058370776 + 10977.078804699 * tau] + 1.8e-10 * cos[3.74885333072 + 11769.8536931664 * tau] + 1.7e-10 * cos[0.66191210656 + 6283.0085396886 * tau] + 1.9e-10 * cos[4.32945160287 + 17789.845619785 * tau] + 1.8e-10 * cos[3.33419222028 + 8429.2412664666 * tau] + 2.1e-10 * cos[1.95248349228 + 8827.3902698748 * tau] + 4.6e-10 * cos[3.38617099014 + 156475.2902479957 * tau] + 3.8e-10 * cos[2.77761031485 + 10988.808157535 * tau] + 3.4e-10 * cos[1.73672994279 + 7058.5984613154 * tau] + 5.1e-10 * cos[5.37229738682 + 6812.766815086 * tau] + 5.1e-10 * cos[1.2761601674 + 5753.3848848968 * tau] + 5.7e-10 * cos[6.15295833679 + 12194.0329146209 * tau] + 5.2e-10 * cos[1.70501566089 + 14143.4952424306 * tau] + 7.5e-10 * cos[0.84213523741 + 167621.57585086189 * tau] + 8.9e-10 * cos[6.25807507963 + 10213.285546211 * tau] + 9.0e-10 * cos[0.37899871725 + 2352.8661537718 * tau] + 9.0e-10 * cos[0.97606804452 + 1577.3435424478 * tau] + 8.6e-10 * cos[1.67530247303 + 7860.4193924392 * tau] + 1.31e-9 * cos[0.9544734524 + 6283.0758499914 * tau] + 2.58e-9 * cos[6.00906896311 + 5223.6939198022 * tau] + 3.44e-9 * cos[2.24353004539 + 5507.5532386674 * tau] + 4.92e-9 * cos[2.41382223971 + 1047.7473117547 * tau] + 1.662e-8 * cos[1.62703209173 + 84334.66158130829 * tau]; B3 = 7e-11 * cos[2.73399865247 + 6309.3741697912 * tau] + 6e-11 * cos[5.40160929468 + 1577.3435424478 * tau] + 6e-11 * cos[0.84181087594 + 6275.9623029906 * tau] + 8e-11 * cos[2.42003508927 + 5753.3848848968 * tau] + 8e-11 * cos[4.02863090524 + 6256.7775301916 * tau] + 7e-11 * cos[2.59437103785 + 529.6909650946 * tau] + 7e-11 * cos[3.04818741666 + 5486.777843175 * tau] + 8e-11 * cos[2.86720038197 + 7058.5984613154 * tau] + 8e-11 * cos[1.65357552925 + 5884.9268465832 * tau] + 9e-11 * cos[1.16069982609 + 5507.5532386674 * tau] + 1.1e-10 * cos[0.23877262399 + 7860.4193924392 * tau]; B4 = 3e-11 * cos[2.89822201212 + 6127.6554505572 * tau] + 3e-11 * cos[3.46779895686 + 6279.5527316424 * tau] + 5e-11 * cos[0.05711572303 + 84334.66158130829 * tau] + 5e-11 * cos[0.84308705203 + 1047.7473117547 * tau] + 4e-11 * cos[0.79662198849 + 6438.4962494256 * tau]; R0 = 5.0e-10 * cos[6.15760345261 + 78051.34191383338 * tau] + 4.0e-10 * cos[3.30603243754 + 23536.11695768099 * tau] + 4.0e-10 * cos[5.3969491832 + 9498.2122306346 * tau] + 4.2e-10 * cos[2.30753932657 + 6549.6828917132 * tau] + 3.6e-10 * cos[3.98066313627 + 12565.1713789146 * tau] + 4.3e-10 * cos[5.64354880978 + 1062.9050485382 * tau] + 3.6e-10 * cos[4.86047906533 + 4157.1984426122 * tau] + 3.8e-10 * cos[0.49178679251 + 38650.173506199 * tau] + 4.2e-10 * cos[4.04346599946 + 7863.9425107882 * tau] + 3.9e-10 * cos[1.97008298629 + 24491.4257925834 * tau] + 4.7e-10 * cos[2.75482175292 + 18202.21671665939 * tau] + 4.2e-10 * cos[4.78798367468 + 7856.89627409019 * tau] + 3.9e-10 * cos[4.39624220245 + 5618.3198048614 * tau] + 4.0e-10 * cos[1.35670430524 + 27177.8515292002 * tau] + 3.9e-10 * cos[1.12867321442 + 9910.583327509 * tau] + 5.5e-10 * cos[0.07988899477 + 83467.15635301729 * tau] + 5.4e-10 * cos[0.88027764102 + 71960.38658322369 * tau] + 5.4e-10 * cos[2.59175932091 + 22910.44676536859 * tau] + 4.3e-10 * cos[5.28030898459 + 17796.9591667858 * tau] + 4.0e-10 * cos[2.35698541041 + 2699.7348193176 * tau] + 5.6e-10 * cos[1.09773690181 + 77376.20102240759 * tau] + 4.2e-10 * cos[3.0163181735 + 853.196381752 * tau] + 4.7e-10 * cos[6.21438985953 + 10991.3058987006 * tau] + 4.1e-10 * cos[2.24013475126 + 8273.8208670324 * tau] + 4.7e-10 * cos[3.67579608544 + 28313.288804661 * tau] + 4.1e-10 * cos[1.32190847146 + 2547.8375382324 * tau] + 5.0e-10 * cos[2.13285524146 + 12573.2652469836 * tau] + 5.8e-10 * cos[5.45843180927 + 1975.492545856 * tau] + 4.7e-10 * cos[1.44447548944 + 21393.5419698576 * tau] + 4.5e-10 * cos[3.03765521215 + 65236.2212932854 * tau] + 4.1e-10 * cos[3.27146326065 + 8858.3149443206 * tau] + 4.3e-10 * cos[0.01524970172 + 37853.8754993826 * tau] + 5.1e-10 * cos[0.84536826273 + 12345.739057544 * tau] + 4.4e-10 * cos[3.62570223167 + 63658.8777508376 * tau] + 4.7e-10 * cos[2.57670800912 + 11492.542675792 * tau] + 4.5e-10 * cos[1.933862933 + 206.1855484372 * tau] + 4.6e-10 * cos[2.75700467329 + 6993.0088985497 * tau] + 4.7e-10 * cos[3.89902931422 + 3903.9113764198 * tau] + 4.6e-10 * cos[4.0314179656 + 10667.8004820432 * tau] + 4.4e-10 * cos[2.87440620802 + 8584.6616659008 * tau] + 6.1e-10 * cos[2.93237974631 + 5791.4125575326 * tau] + 6.2e-10 * cos[5.45209070099 + 949.1756089698 * tau] + 4.7e-10 * cos[5.50981287869 + 12779.4507954208 * tau] + 4.5e-10 * cos[3.37963782356 + 10763.779709261 * tau] + 4.8e-10 * cos[0.12356889734 + 13362.4497067992 * tau] + 5.2e-10 * cos[2.03254070404 + 6293.7125153412 * tau] + 4.7e-10 * cos[3.00924906195 + 52175.8062831484 * tau] + 5.3e-10 * cos[1.01528448581 + 149144.46708624958 * tau] + 5.7e-10 * cos[3.42008310383 + 50317.2034395308 * tau] + 5.2e-10 * cos[1.09723616404 + 640.8776073822 * tau] + 4.8e-10 * cos[6.20230111054 + 4171.4255366138 * tau] + 5.3e-10 * cos[4.58763261686 + 11616.976091013 * tau] + 4.7e-10 * cos[0.43240779709 + 735.8765135318 * tau] + 5.3e-10 * cos[0.79879700631 + 77710.24834977149 * tau] + 5.3e-10 * cos[0.17334326094 + 77717.29458646949 * tau] + 5.2e-10 * cos[2.61551081496 + 5999.2165311262 * tau] + 5.6e-10 * cos[2.35650663692 + 37724.7534197482 * tau] + 6.5e-10 * cos[1.45522693982 + 76251.32777062019 * tau] + 5.8e-10 * cos[3.34847975377 + 33990.6183442862 * tau] + 4.8e-10 * cos[4.53854727167 + 29822.7832363242 * tau] + 5.0e-10 * cos[1.46327331958 + 37455.7264959744 * tau] + 5.5e-10 * cos[0.83886167974 + 20452.8694122218 * tau] + 4.9e-10 * cos[4.18361320516 + 18606.4989460002 * tau] + 6.1e-10 * cos[4.02090887211 + 34596.3646546524 * tau] + 5.3e-10 * cos[1.17760296075 + 149.5631971346 * tau] + 5.7e-10 * cos[5.42770501007 + 310145.15282392364 * tau] + 6.9e-10 * cos[5.34363738671 + 66813.5648357332 * tau] + 6.5e-10 * cos[2.38423614501 + 52670.0695933026 * tau] + 4.9e-10 * cos[0.54704693048 + 22594.05489571199 * tau] + 5.9e-10 * cos[3.84070143543 + 5483.254724826 * tau] + 5.9e-10 * cos[0.4416723762 + 250570.67585721909 * tau] + 5.6e-10 * cos[2.57995973521 + 17892.93839400359 * tau] + 5.1e-10 * cos[2.59519527563 + 11396.5634485742 * tau] + 6.6e-10 * cos[6.12047940728 + 12074.488407524 * tau] + 6.9e-10 * cos[5.00698550308 + 25287.7237993998 * tau] + 5.2e-10 * cos[1.02278758099 + 6272.4391846416 * tau] + 6.3e-10 * cos[5.32068807257 + 3116.6594122598 * tau] + 6.1e-10 * cos[2.69736991384 + 82576.98122099529 * tau] + 7.2e-10 * cos[2.80863088166 + 10866.8724834796 * tau] + 6.0e-10 * cos[5.57024703495 + 5756.9080032458 * tau] + 6.8e-10 * cos[0.77493931112 + 29864.334027309 * tau] + 6.3e-10 * cos[2.34416220742 + 11510.7019230567 * tau] + 6.3e-10 * cos[5.41479412056 + 11502.8376165305 * tau] + 5.5e-10 * cos[4.51794544854 + 34911.412076091 * tau] + 5.3e-10 * cos[3.86543309344 + 32370.9789915656 * tau] + 7.4e-10 * cos[1.38235845304 + 9967.4538999816 * tau] + 5.7e-10 * cos[5.89190132575 + 34513.2630726828 * tau] + 5.4e-10 * cos[4.29491690425 + 21947.1113727 * tau] + 5.9e-10 * cos[1.63156134967 + 61306.0115970658 * tau] + 5.9e-10 * cos[5.36231868425 + 10239.5838660108 * tau] + 7.2e-10 * cos[5.91833527334 + 10881.0995774812 * tau] + 7.3e-10 * cos[1.35229143111 + 5327.4761083828 * tau] + 7.0e-10 * cos[2.37962727525 + 15508.6151232744 * tau] + 5.9e-10 * cos[4.95362151577 + 35707.7100829074 * tau] + 7.8e-10 * cos[0.32736023459 + 6528.9074962208 * tau] + 7.3e-10 * cos[4.95125917731 + 6453.7487206106 * tau] + 6.3e-10 * cos[0.72976362625 + 6286.9571853494 * tau] + 7.8e-10 * cos[1.39649386463 + 9411.4646150872 * tau] + 6.8e-10 * cos[2.24442548639 + 24383.0791084414 * tau] + 6.9e-10 * cos[0.30764736334 + 7018.9523635232 * tau] + 6.0e-10 * cos[3.1615390647 + 5490.300961524 * tau] + 6.2e-10 * cos[2.43313614978 + 10138.1095169486 * tau] + 6.6e-10 * cos[2.15105504851 + 38.0276726358 * tau] + 8.0e-10 * cos[5.81239171612 + 12341.8069042809 * tau] + 6.4e-10 * cos[0.18375587519 + 1066.49547719 * tau] + 6.4e-10 * cos[3.3103319837 + 2636.725472637 * tau] + 6.5e-10 * cos[3.02336771694 + 5959.570433334 * tau] + 6.5e-10 * cos[5.41938745446 + 28628.3362260996 * tau] + 6.3e-10 * cos[2.32556465878 + 6279.1945146334 * tau] + 8.3e-10 * cos[4.69916218791 + 23006.42599258639 * tau] + 8.1e-10 * cos[0.91938383237 + 74.7815985673 * tau] + 7.1e-10 * cos[3.91415523291 + 7875.6718636242 * tau] + 6.7e-10 * cos[3.83840630887 + 6262.7205305926 * tau] + 8.1e-10 * cos[4.10452219483 + 161710.61878623239 * tau] + 7.7e-10 * cos[0.4666517878 + 16207.886271502 * tau] + 7.4e-10 * cos[1.01884134928 + 6393.2821712108 * tau] + 7.5e-10 * cos[2.07323762803 + 15664.03552270859 * tau] + 6.8e-10 * cos[0.50006599129 + 4274.5183108324 * tau] + 7.7e-10 * cos[5.18846946344 + 11520.9968637952 * tau] + 7.5e-10 * cos[2.77638585157 + 12964.300703391 * tau] + 9.1e-10 * cos[0.96515913904 + 48739.859897083 * tau] + 7.6e-10 * cos[0.22880641443 + 57375.8019008462 * tau] + 7.1e-10 * cos[1.52014858474 + 33794.5437235286 * tau] + 1.00e-9 * cos[0.39243148321 + 24279.10701821359 * tau] + 1.02e-9 * cos[4.92129953565 + 5621.8429232104 * tau] + 7.9e-10 * cos[1.46227790922 + 8982.810669309 * tau] + 8.0e-10 * cos[2.23099742212 + 266.6070417218 * tau] + 7.6e-10 * cos[0.23027966596 + 21424.4666443034 * tau] + 7.8e-10 * cos[1.97068529306 + 90279.92316810328 * tau] + 7.6e-10 * cos[3.96310417608 + 29026.48522950779 * tau] + 9.8e-10 * cos[2.94397773524 + 316.3918696566 * tau] + 1.06e-9 * cos[3.92012705073 + 62883.3551395136 * tau] + 9.0e-10 * cos[0.57771932738 + 26482.1708096244 * tau] + 7.8e-10 * cos[3.99588630754 + 11293.4706743556 * tau] + 9.3e-10 * cos[1.32651591333 + 23020.65308658799 * tau] + 9.7e-10 * cos[2.58492958057 + 30666.1549584328 * tau] + 1.09e-9 * cos[2.3555558977 + 83286.91426955358 * tau] + 8.2e-10 * cos[5.26342716139 + 9814.6041002912 * tau] + 9.7e-10 * cos[5.20764563059 + 6303.4311693902 * tau] + 1.10e-9 * cos[4.89978492291 + 72140.62866668739 * tau] + 8.1e-10 * cos[3.13038482444 + 36147.4098773004 * tau] + 9.6e-10 * cos[3.89073946348 + 6379.0550772092 * tau] + 9.7e-10 * cos[5.61458778738 + 2787.0430238574 * tau] + 8.2e-10 * cos[4.71988314145 + 15141.390794312 * tau] + 9.4e-10 * cos[5.47749711149 + 9924.8104215106 * tau] + 8.2e-10 * cos[5.58298993353 + 10241.2022911672 * tau] + 8.9e-10 * cos[1.63389387182 + 33326.5787331742 * tau] + 8.7e-10 * cos[5.43970168638 + 6272.0301497275 * tau] + 1.05e-9 * cos[3.02903468417 + 22345.2603761082 * tau] + 8.7e-10 * cos[1.86043406047 + 27707.5424942948 * tau] + 9.5e-10 * cos[5.68801979087 + 14919.0178537546 * tau] + 1.00e-9 * cos[2.00639461612 + 12323.4230960088 * tau] + 9.0e-10 * cos[4.50544881196 + 40077.61957352 * tau] + 9.2e-10 * cos[2.28180963676 + 12491.3701014155 * tau] + 9.9e-10 * cos[5.67090026475 + 16522.6597160022 * tau] + 1.24e-9 * cos[5.00979495566 + 172146.97134054029 * tau] + 9.3e-10 * cos[0.21240380046 + 18139.2945014159 * tau] + 1.26e-9 * cos[4.78722177847 + 305281.94307104882 * tau] + 9.9e-10 * cos[0.90164266377 + 18635.9284545362 * tau] + 9.0e-10 * cos[2.72299804525 + 26880.3198130326 * tau] + 1.11e-9 * cos[5.01961920313 + 11823.1616394502 * tau] + 9.5e-10 * cos[5.36958330451 + 6288.5987742988 * tau] + 9.7e-10 * cos[2.46722096722 + 71980.63357473118 * tau] + 9.7e-10 * cos[5.38330115253 + 7834.1210726394 * tau] + 9.8e-10 * cos[0.13589994287 + 11080.1715789176 * tau] + 1.17e-9 * cos[3.65425622684 + 34520.3093093808 * tau] + 9.4e-10 * cos[2.56461130309 + 19004.6479494084 * tau] + 1.20e-9 * cos[1.26895630252 + 12043.574281889 * tau] + 9.7e-10 * cos[3.70151541181 + 11720.0688652316 * tau] + 1.12e-9 * cos[4.32512422943 + 97238.62754448749 * tau] + 1.10e-9 * cos[3.66952094329 + 238004.52415723629 * tau] + 1.24e-9 * cos[2.55619029867 + 12539.853380183 * tau] + 1.13e-9 * cos[1.24206857385 + 84672.47584450469 * tau] + 9.8e-10 * cos[5.95877916706 + 4061.2192153944 * tau] + 1.04e-9 * cos[4.44107178366 + 2118.7638603784 * tau] + 1.10e-9 * cos[0.37528037383 + 5863.5912061162 * tau] + 9.9e-10 * cos[5.70862227072 + 5540.0857894588 * tau] + 1.07e-9 * cos[2.92124030496 + 31415.379249957 * tau] + 1.43e-9 * cos[0.88529649733 + 7576.560073574 * tau] + 1.43e-9 * cos[0.24122178432 + 4214.0690150848 * tau] + 1.07e-9 * cos[1.00535580713 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1.829e-8 * cos[1.66006148731 + 39302.096962196 * tau] + 1.532e-8 * cos[5.3568310707 + 13521.7514415914 * tau] + 1.726e-8 * cos[2.16764983583 + 10575.4066829418 * tau] + 1.827e-8 * cos[5.91227480261 + 3738.761430108 * tau] + 1.502e-8 * cos[5.43948825854 + 155.4203994342 * tau] + 1.642e-8 * cos[5.55026665339 + 6496.3749454294 * tau] + 1.712e-8 * cos[1.34295663542 + 3128.3887650958 * tau] + 1.611e-8 * cos[1.99824499377 + 10969.9652576982 * tau] + 1.541e-8 * cos[6.21598380732 + 23543.23050468179 * tau] + 1.714e-8 * cos[3.70157691113 + 1592.5960136328 * tau] + 2.154e-8 * cos[6.03828341543 + 10873.9860304804 * tau] + 1.754e-8 * cos[2.14452408833 + 6290.1893969922 * tau] + 1.635e-8 * cos[5.85571606764 + 10984.1923516998 * tau] + 1.970e-8 * cos[4.36929875289 + 167283.76158766549 * tau] + 2.157e-8 * cos[1.31396741861 + 154717.60988768269 * tau] + 1.855e-8 * cos[2.86090681163 + 5216.5803728014 * tau] + 2.305e-8 * cos[1.05376461628 + 22483.84857449259 * tau] + 1.999e-8 * cos[0.5609038816 + 7079.3738568078 * tau] + 2.548e-8 * cos[2.47684686575 + 6208.2942514241 * tau] + 1.977e-8 * cos[2.6135829755 + 951.7184062506 * tau] + 2.814e-8 * cos[3.51488206882 + 21228.3920235458 * tau] + 2.415e-8 * cos[2.79975176257 + 709.9330485583 * tau] + 2.656e-8 * cos[0.8995930178 + 12352.8526045448 * tau] + 3.071e-8 * cos[0.23793217002 + 35371.8872659764 * tau] + 2.863e-8 * cos[5.92838131397 + 14712.317116458 * tau] + 2.287e-8 * cos[1.06975704977 + 14314.1681130498 * tau] + 2.978e-8 * cos[1.74971565805 + 6283.0085396886 * tau] + 2.676e-8 * cos[4.2072570085 + 18073.7049386502 * tau] + 3.519e-8 * cos[3.62639325753 + 244287.60000722769 * tau] + 2.598e-8 * cos[2.96244118586 + 25132.3033999656 * tau] + 3.164e-8 * cos[1.69140262657 + 11015.1064773348 * tau] + 2.927e-8 * cos[5.73787481548 + 16200.7727245012 * tau] + 2.802e-8 * cos[5.66263240521 + 8635.9420037632 * tau] + 2.765e-8 * cos[0.51311975679 + 26.2983197998 * tau] + 2.978e-8 * cos[1.3056126882 + 6283.14316029419 * tau] + 3.362e-8 * cos[4.54577697964 + 4732.0306273434 * tau] + 4.154e-8 * cos[2.59941292162 + 7058.5984613154 * tau] + 3.237e-8 * cos[4.16448773994 + 9917.6968745098 * tau] + 3.598e-8 * cos[5.70718084323 + 5643.1785636774 * tau] + 3.418e-8 * cos[3.00072390334 + 4292.3308329504 * tau] + 3.335e-8 * cos[3.13829943354 + 6836.6452528338 * tau] + 4.582e-8 * cos[3.76570026763 + 6386.16862421 * tau] + 4.232e-8 * cos[1.05485713117 + 5760.4984318976 * tau] + 3.476e-8 * cos[0.7608027703 + 10973.55568635 * tau] + 4.008e-8 * cos[3.03007204392 + 1059.3819301892 * tau] + 3.967e-8 * cos[1.20054555174 + 1349.8674096588 * tau] + 5.337e-8 * cos[5.09957905104 + 31441.6775697568 * tau] + 3.788e-8 * cos[4.9072938351 + 4164.311989613 * tau] + 4.578e-8 * cos[4.4656964157 + 5746.271337896 * tau] + 5.625e-8 * cos[4.34052903053 + 90955.5516944961 * tau] + 5.519e-8 * cos[2.09089154502 + 17298.1823273262 * tau] + 4.770e-8 * cos[0.25554312006 + 11856.2186514245 * tau] + 5.128e-8 * cos[5.3239896569 + 11513.8833167944 * tau] + 5.314e-8 * cos[2.40716580847 + 11499.6562227928 * tau] + 4.221e-8 * cos[1.55697533729 + 7238.6755916 * tau] + 4.608e-8 * cos[1.72194702724 + 7234.794256242 * tau] + 6.147e-8 * cos[3.02863936662 + 233141.31440436149 * tau] + 5.233e-8 * cos[4.62434053374 + 6438.4962494256 * tau] + 6.477e-8 * cos[2.64986648492 + 19804.8272915828 * tau] + 6.115e-8 * cos[5.13393615454 + 1194.4470102246 * tau] + 6.802e-8 * cos[1.4232980642 + 23013.5395395872 * tau] + 6.933e-8 * cos[2.923845864 + 6681.2248533996 * tau] + 7.460e-8 * cos[5.64757188143 + 11926.2544136688 * tau] + 6.592e-8 * cos[3.13576266188 + 801.8209311238 * tau] + 7.712e-8 * cos[0.31242577789 + 7632.9432596502 * tau] + 6.633e-8 * cos[5.66149277792 + 11371.7046897582 * tau] + 7.786e-8 * cos[3.67371235637 + 12168.0026965746 * tau] + 8.743e-8 * cos[6.06359123461 + 1748.016413067 * tau] + 6.743e-8 * cos[0.56270332741 + 3340.6124266998 * tau] + 9.661e-8 * cos[3.6758679122 + 27511.4678735372 * tau] + 7.564e-8 * cos[2.6256059739 + 6256.7775301916 * tau] + 1.0169e-7 * cos[1.59390681369 + 4690.4798363586 * tau] + 9.978e-8 * cos[4.20126336355 + 6309.3741697912 * tau] + 1.0414e-7 * cos[4.33285688538 + 11769.8536931664 * tau] + 1.3139e-7 * cos[0.65289581324 + 13367.9726311066 * tau] + 1.3641e-7 * cos[3.68516118804 + 4705.7323075436 * tau] + 1.8331e-7 * cos[2.25348733734 + 23581.2581773176 * tau] + 1.8833e-7 * cos[0.67306674027 + 149854.40013480789 * tau] + 1.3814e-7 * cos[5.18962074032 + 8031.0922630584 * tau] + 1.7314e-7 * cos[6.15200787916 + 16730.4636895958 * tau] + 1.6190e-7 * cos[5.23160507859 + 17789.845619785 * tau] + 1.7174e-7 * cos[4.43315560735 + 10213.285546211 * tau] + 1.7958e-7 * cos[0.19871379385 + 6812.766815086 * tau] + 1.9506e-7 * cos[5.38227371393 + 2352.8661537718 * tau] + 2.2103e-7 * cos[1.95004702988 + 3154.6870848956 * tau] + 2.3287e-7 * cos[2.80783650928 + 14143.4952424306 * tau] + 2.0349e-7 * cos[4.65267995431 + 2146.1654164752 * tau] + 2.3927e-7 * cos[4.99598548138 + 5856.4776591154 * tau] + 2.7793e-7 * cos[1.89934330904 + 6279.5527316424 * tau] + 2.3587e-7 * cos[0.26866117066 + 796.2980068164 * tau] + 2.4596e-7 * cos[3.78660875483 + 8429.2412664666 * tau] + 2.6275e-7 * cos[4.58896850401 + 10447.3878396044 * tau] + 3.4537e-7 * cos[1.84270693282 + 2942.4634232916 * tau] + 3.6957e-7 * cos[4.90107591914 + 12139.5535091068 * tau] + 3.7490e-7 * cos[0.82952922332 + 19651.048481098 * tau] + 2.8464e-7 * cos[1.21344868176 + 6286.5989683404 * tau] + 3.8245e-7 * cos[2.39255343974 + 8827.3902698748 * tau] + 3.3193e-7 * cos[0.24370300098 + 7084.8967811152 * tau] + 3.1846e-7 * cos[1.77775642085 + 398.1490034082 * tau] + 3.1921e-7 * cos[0.18368229781 + 5088.6288397668 * tau] + 3.5660e-7 * cos[1.67468058995 + 12036.4607348882 * tau] + 4.4661e-7 * cos[5.53715807302 + 9437.762934887 * tau] + 3.8968e-7 * cos[5.36071738169 + 4694.0029547076 * tau] + 4.6963e-7 * cos[2.57805070386 + 775.522611324 * tau] + 4.2515e-7 * cos[6.01110242003 + 6275.9623029906 * tau] + 5.5736e-7 * cos[5.24159798933 + 71430.69561812909 * tau] + 4.9384e-7 * cos[3.24501240359 + 2544.3144198834 * tau] + 6.4903e-7 * cos[0.27250613787 + 17260.1546546904 * tau] + 5.7056e-7 * cos[2.01374292014 + 83996.84731811189 * tau] + 6.2916e-7 * cos[0.92177108832 + 529.6909650946 * tau] + 8.5825e-7 * cos[1.27083733351 + 161000.6857376741 * tau] + 8.6499e-7 * cos[5.68959778254 + 15720.8387848784 * tau] + 9.8316e-7 * cos[0.88681311277 + 6069.7767545534 * tau] + 0.00000109835 * cos[5.05510636285 + 5486.777843175 * tau] + 0.00000185752 * cos[5.02194447178 + 10977.078804699 * tau] + 0.00000211829 * cos[5.84714540314 + 1577.3435424478 * tau] + 0.00000243189 * cos[4.27349536153 + 11790.6290886588 * tau] + 0.00000174844 * cos[3.01193636534 + 18849.2275499742 * tau] + 0.00000306784 * cos[0.29867139512 + 5573.1428014331 * tau] + 0.00000345983 * cos[0.96368617687 + 5507.5532386674 * tau] + 0.0000032878 * cos[5.89983646482 + 5223.6939198022 * tau] + 0.0000047211 * cos[3.66100022149 + 5884.9268465832 * tau] + 0.00000542444 * cos[4.56409149777 + 3930.2096962196 * tau] + 0.00000924799 * cos[5.45292234084 + 11506.7697697936 * tau] + 0.00001575568 * cos[2.84685245825 + 7860.4193924392 * tau] + 0.00001628461 * cos[1.17387749012 + 5753.3848848968 * tau] + 0.0000308372 * cos[5.19846674381 + 77713.7714681205 * tau] + 0.00013956023 * cos[3.0552460962 + 12566.1516999828 * tau] + 0.01670699626 * cos[3.09846350771 + 6283.0758499914 * tau] + 1.00013988799 * cos[0.0 + 0.0 * tau]; R1 = 2.0e-10 * cos[5.91915117116 + 48739.859897083 * tau] + 1.9e-10 * cos[2.54227398241 + 77736.78343050249 * tau] + 1.9e-10 * cos[4.71432851499 + 77690.75950573849 * tau] + 2.5e-10 * cos[0.94995632141 + 31415.379249957 * tau] + 1.9e-10 * cos[2.86664273362 + 18422.62935909819 * tau] + 1.9e-10 * cos[2.99969102221 + 19651.048481098 * tau] + 1.9e-10 * cos[1.78121167862 + 156137.47598479928 * tau] + 2.2e-10 * cos[4.66462839521 + 13362.4497067992 * tau] + 2.0e-10 * cos[1.52296293311 + 135.0650800354 * tau] + 2.8e-10 * cos[3.91168324815 + 18208.349942592 * tau] + 2.7e-10 * cos[5.35653084499 + 33794.5437235286 * tau] + 2.1e-10 * cos[3.04956726238 + 6566.9351688566 * tau] + 2.1e-10 * cos[3.2265494443 + 25934.1243310894 * tau] + 2.1e-10 * cos[2.30688751432 + 5999.2165311262 * tau] + 2.2e-10 * cos[4.74660932338 + 28230.18722269139 * tau] + 2.2e-10 * cos[1.02173599251 + 11925.2740926006 * tau] + 2.9e-10 * cos[2.09564449439 + 15265.8865193004 * tau] + 2.2e-10 * cos[3.5860360664 + 6915.8595893046 * tau] + 2.2e-10 * cos[1.81777974484 + 6288.5987742988 * tau] + 2.5e-10 * cos[6.00172494004 + 6489.2613984286 * tau] + 2.4e-10 * cos[1.33998410121 + 19800.9459562248 * tau] + 2.6e-10 * cos[1.34240461687 + 18875.525869774 * tau] + 2.3e-10 * cos[0.28364955406 + 5327.4761083828 * tau] + 2.7e-10 * cos[3.0232089714 + 6286.3622074092 * tau] + 2.5e-10 * cos[5.33928840652 + 15141.390794312 * tau] + 2.5e-10 * cos[5.70460621565 + 27707.5424942948 * tau] + 2.4e-10 * cos[3.74225964547 + 29026.48522950779 * tau] + 2.4e-10 * cos[6.14987193584 + 18606.4989460002 * tau] + 3.1e-10 * cos[3.93096113577 + 29864.334027309 * tau] + 2.9e-10 * cos[4.94860010533 + 5863.5912061162 * tau] + 2.7e-10 * cos[0.37462444357 + 12964.300703391 * tau] + 2.5e-10 * cos[2.89309528854 + 6286.6662786432 * tau] + 2.7e-10 * cos[4.72625223674 + 1066.49547719 * tau] + 2.6e-10 * cos[4.50714272714 + 17796.9591667858 * tau] + 2.9e-10 * cos[4.15148654061 + 45892.73043315699 * tau] + 2.6e-10 * cos[2.36136541526 + 17996.0311682222 * tau] + 2.6e-10 * cos[4.97688894643 + 16737.5772365966 * tau] + 2.5e-10 * cos[2.46339998836 + 6279.4854213396 * tau] + 3.5e-10 * cos[2.82154380962 + 19402.7969528166 * tau] + 2.6e-10 * cos[1.48499438453 + 11080.1715789176 * tau] + 2.7e-10 * cos[3.52528177609 + 10770.8932562618 * tau] + 3.5e-10 * cos[4.52695674113 + 36949.2308084242 * tau] + 2.6e-10 * cos[5.46497324333 + 6245.0481773556 * tau] + 2.7e-10 * cos[0.03211931363 + 6279.7894925736 * tau] + 3.0e-10 * cos[4.4649407224 + 36147.4098773004 * tau] + 2.7e-10 * cos[4.46183450287 + 6702.5604938666 * tau] + 3.3e-10 * cos[4.60320094415 + 19004.6479494084 * tau] + 2.9e-10 * cos[1.83149729794 + 29822.7832363242 * tau] + 2.8e-10 * cos[3.84568936822 + 2699.7348193176 * tau] + 2.8e-10 * cos[0.26187189577 + 13521.7514415914 * tau] + 3.2e-10 * cos[4.91793198558 + 11300.5842213564 * tau] + 3.0e-10 * cos[2.5492323024 + 9924.8104215106 * tau] + 2.9e-10 * cos[2.0263384022 + 11609.8625440122 * tau] + 3.1e-10 * cos[0.23302920161 + 23581.2581773176 * tau] + 3.4e-10 * cos[1.43910280005 + 49515.382508407 * tau] + 3.3e-10 * cos[4.73611335874 + 16723.350142595 * tau] + 3.4e-10 * cos[3.96287980676 + 18216.443810661 * tau] + 3.5e-10 * cos[4.44608896525 + 18202.21671665939 * tau] + 3.1e-10 * cos[2.78828943753 + 12139.5535091068 * tau] + 3.2e-10 * cos[1.72442327688 + 27433.88921587499 * tau] + 3.8e-10 * cos[5.89832942685 + 640.8776073822 * tau] + 3.2e-10 * cos[1.6288771089 + 639.897286314 * tau] + 3.7e-10 * cos[4.1194365577 + 2787.0430238574 * tau] + 3.9e-10 * cos[1.24979117796 + 6418.1409300268 * tau] + 3.2e-10 * cos[4.21446357042 + 15664.03552270859 * tau] + 3.4e-10 * cos[2.31528650443 + 55798.4583583984 * tau] + 3.5e-10 * cos[3.19120695549 + 32217.2001810808 * tau] + 3.4e-10 * cos[6.168913788 + 24491.4257925834 * tau] + 3.3e-10 * cos[5.06264177921 + 226858.23855437008 * tau] + 3.6e-10 * cos[1.75078825382 + 16207.886271502 * tau] + 3.6e-10 * cos[2.15108874765 + 30774.5016425748 * tau] + 3.5e-10 * cos[5.93650887012 + 31570.7996493912 * tau] + 3.5e-10 * cos[3.30933994515 + 24072.9214697764 * tau] + 3.6e-10 * cos[0.77037556319 + 12029.3471878874 * tau] + 3.6e-10 * cos[0.11087914947 + 10344.2950653858 * tau] + 3.7e-10 * cos[0.62902722802 + 24356.7807886416 * tau] + 4.7e-10 * cos[4.26356628717 + 21424.4666443034 * tau] + 5.3e-10 * cos[5.19854123078 + 77713.7714681205 * tau] + 3.9e-10 * cos[2.97100699926 + 2118.7638603784 * tau] + 5.1e-10 * cos[1.70258603562 + 1551.045222648 * tau] + 4.0e-10 * cos[3.77498297228 + 26087.9031415742 * tau] + 4.0e-10 * cos[1.49921251887 + 18451.07854656599 * tau] + 4.0e-10 * cos[4.75740908001 + 38526.574350872 * tau] + 4.5e-10 * cos[3.88495384656 + 60530.4889857418 * tau] + 5.5e-10 * cos[0.89439119424 + 11933.3679606696 * tau] + 4.1e-10 * cos[1.61122384329 + 6819.8803620868 * tau] + 5.3e-10 * cos[0.94869680175 + 10988.808157535 * tau] + 4.5e-10 * cos[0.40210030323 + 6805.6532680852 * tau] + 4.9e-10 * cos[1.60455690285 + 6303.8512454838 * tau] + 4.6e-10 * cos[0.73303568429 + 6303.4311693902 * tau] + 4.5e-10 * cos[3.00877289177 + 8982.810669309 * tau] + 5.5e-10 * cos[3.14274403422 + 33019.0211122046 * tau] + 5.6e-10 * cos[0.02481833774 + 15671.0817594066 * tau] + 4.4e-10 * cos[3.43070646822 + 10021.8372800994 * tau] + 4.3e-10 * cos[5.74295325645 + 11403.676995575 * tau] + 4.3e-10 * cos[1.61526242998 + 6277.552925684 * tau] + 4.5e-10 * cos[0.89150445122 + 51868.2486621788 * tau] + 4.7e-10 * cos[1.26317154881 + 11919.140866668 * tau] + 4.5e-10 * cos[3.30068569697 + 22003.9146348698 * tau] + 5.0e-10 * cos[3.68875893005 + 12323.4230960088 * tau] + 4.6e-10 * cos[3.98449608961 + 98068.53671630539 * tau] + 6.4e-10 * cos[1.64379897981 + 6262.300454499 * tau] + 4.8e-10 * cos[2.69973662261 + 6709.6740408674 * tau] + 4.9e-10 * cos[1.93839278478 + 5333.9002410216 * tau] + 5.8e-10 * cos[2.30546168628 + 955.5997416086 * tau] + 5.9e-10 * cos[5.87963500073 + 5331.3574437408 * tau] + 5.6e-10 * cos[4.41980790431 + 4701.1165017084 * tau] + 5.7e-10 * cos[5.77055471237 + 12043.574281889 * tau] + 5.1e-10 * cos[2.31511194429 + 6262.7205305926 * tau] + 6.7e-10 * cos[0.07096807518 + 14945.3161735544 * tau] + 6.4e-10 * cos[2.13513767927 + 7875.6718636242 * tau] + 5.3e-10 * cos[2.29084335688 + 16062.1845261168 * tau] + 7.4e-10 * cos[1.05466745829 + 16460.33352952499 * tau] + 5.4e-10 * cos[5.73750638571 + 3634.6210245184 * tau] + 6.7e-10 * cos[6.11690589247 + 8662.240323563 * tau] + 5.5e-10 * cos[4.84298966314 + 13095.8426650774 * tau] + 6.1e-10 * cos[5.93059279661 + 12539.853380183 * tau] + 5.5e-10 * cos[0.24926735018 + 15110.4661198662 * tau] + 5.6e-10 * cos[1.63031935692 + 15720.8387848784 * tau] + 6.0e-10 * cos[1.01261781084 + 12721.572099417 * tau] + 5.7e-10 * cos[5.48157926651 + 18319.5365848796 * tau] + 7.8e-10 * cos[4.20905757484 + 5729.506447149 * tau] + 7.9e-10 * cos[1.63131230601 + 4933.2084403326 * tau] + 8.2e-10 * cos[4.59843208943 + 9388.0059094152 * tau] + 6.0e-10 * cos[4.34824715818 + 6206.8097787158 * tau] + 6.1e-10 * cos[6.17558202197 + 11087.2851259184 * tau] + 8.8e-10 * cos[3.88076636762 + 7477.522860216 * tau] + 8.4e-10 * cos[1.59303306354 + 9380.9596727172 * tau] + 6.8e-10 * cos[3.88179770758 + 17260.1546546904 * tau] + 6.6e-10 * cos[2.78285801977 + 536.8045120954 * tau] + 8.8e-10 * cos[1.10098454357 + 11769.8536931664 * tau] + 6.9e-10 * cos[4.49936170873 + 17256.6315363414 * tau] + 7.5e-10 * cos[3.40955892978 + 5481.2549188676 * tau] + 8.1e-10 * cos[1.90858992196 + 29088.811415985 * tau] + 7.6e-10 * cos[1.80783856698 + 28286.9904848612 * tau] + 9.1e-10 * cos[5.64100034152 + 8827.3902698748 * tau] + 7.6e-10 * cos[2.70729716925 + 143571.32428481648 * tau] + 8.6e-10 * cos[3.94529200528 + 10454.5013866052 * tau] + 8.1e-10 * cos[1.32131147691 + 5650.2921106782 * tau] + 9.6e-10 * cos[5.56909292561 + 2388.8940204492 * tau] + 9.2e-10 * cos[6.03915555063 + 20426.571092422 * tau] + 9.8e-10 * cos[5.77016493489 + 7342.4577801806 * tau] + 8.8e-10 * cos[0.23371480284 + 13119.72110282519 * tau] + 9.5e-10 * cos[2.461684111 + 3097.88382272579 * tau] + 9.8e-10 * cos[3.15248421301 + 10440.2742926036 * tau] + 9.8e-10 * cos[0.87576563709 + 6525.8044539654 * tau] + 1.10e-9 * cos[6.22339014386 + 12146.6670561076 * tau] + 9.7e-10 * cos[3.97935904984 + 6133.5126528568 * tau] + 1.00e-9 * cos[2.93805577485 + 4535.0594369244 * tau] + 1.10e-9 * cos[5.80381480447 + 16858.4825329332 * tau] + 1.04e-9 * cos[2.41842602527 + 426.598190876 * tau] + 1.21e-9 * cos[0.39459045915 + 12132.439962106 * tau] + 1.04e-9 * cos[4.42743707728 + 23543.23050468179 * tau] + 1.06e-9 * cos[2.27437761356 + 5429.8794682394 * tau] + 1.50e-9 * cos[4.26278409223 + 3128.3887650958 * tau] + 1.23e-9 * cos[5.81645568991 + 6282.0955289232 * tau] + 1.11e-9 * cos[0.44848279675 + 6172.869528772 * tau] + 1.23e-9 * cos[1.52961392771 + 12559.038152982 * tau] + 1.16e-9 * cos[0.55839966736 + 5849.3641121146 * tau] + 1.29e-9 * cos[2.10705116371 + 1589.0728952838 * tau] + 1.57e-9 * cos[3.40236426002 + 16496.3613962024 * tau] + 1.22e-9 * cos[5.60973054224 + 5642.1982426092 * tau] + 1.17e-9 * cos[5.81072642211 + 12569.6748183318 * tau] + 1.20e-9 * cos[3.98423684853 + 4686.8894077068 * tau] + 1.21e-9 * cos[2.37813129011 + 167283.76158766549 * tau] + 1.27e-9 * cos[1.92389511438 + 22483.84857449259 * tau] + 1.50e-9 * cos[5.30166336812 + 13517.8701062334 * tau] + 1.24e-9 * cos[6.03440460031 + 9225.539273283 * tau] + 1.41e-9 * cos[0.49976927274 + 25158.6017197654 * tau] + 1.74e-9 * cos[1.58078542187 + 7.1135470008 * tau] + 1.63e-9 * cos[6.11782626245 + 3.523118349 * tau] + 1.33e-9 * cos[3.30508592837 + 154717.60988768269 * tau] + 1.58e-9 * cos[4.60974280627 + 9623.6882766912 * tau] + 1.41e-9 * cos[4.38421981312 + 4136.9104335162 * tau] + 1.34e-9 * cos[0.97765485759 + 65147.6197681377 * tau] + 1.86e-9 * cos[5.01159497089 + 11015.1064773348 * tau] + 1.63e-9 * cos[2.1920957039 + 6076.8903015542 * tau] + 1.49e-9 * cos[0.8094418426 + 709.9330485583 * tau] + 1.82e-9 * cos[5.16288118255 + 17253.04110768959 * tau] + 1.52e-9 * cos[0.19390712179 + 9779.1086761254 * tau] + 1.69e-9 * cos[4.75084479006 + 17267.26820169119 * tau] + 2.15e-9 * cos[1.04672844028 + 3496.032826134 * tau] + 1.72e-9 * cos[0.9761295074 + 3930.2096962196 * tau] + 1.63e-9 * cos[2.19117396803 + 18073.7049386502 * tau] + 2.30e-9 * cos[3.62591335086 + 6284.0561710596 * tau] + 1.84e-9 * cos[6.04216273598 + 6283.0085396886 * tau] + 1.87e-9 * cos[2.72805985443 + 6062.6632075526 * tau] + 2.36e-9 * cos[5.58826125715 + 6069.7767545534 * tau] + 2.25e-9 * cos[1.64458698399 + 4732.0306273434 * tau] + 1.79e-9 * cos[2.54259058334 + 14314.1681130498 * tau] + 1.84e-9 * cos[2.85275392124 + 7238.6755916 * tau] + 1.84e-9 * cos[5.59805976614 + 6283.14316029419 * tau] + 2.12e-9 * cos[4.00861198517 + 5230.807466803 * tau] + 2.14e-9 * cos[3.91876200279 + 13916.0191096416 * tau] + 1.98e-9 * cos[5.16301829964 + 12352.8526045448 * tau] + 1.96e-9 * cos[0.69029243914 + 1990.745017041 * tau] + 2.16e-9 * cos[3.46037894728 + 213.299095438 * tau] + 3.07e-9 * cos[4.24313526604 + 3738.761430108 * tau] + 2.55e-9 * cos[5.38496831087 + 21228.3920235458 * tau] + 2.75e-9 * cos[3.45319481756 + 5884.9268465832 * tau] + 2.37e-9 * cos[1.05070575346 + 242.728603974 * tau] + 2.43e-9 * cos[2.2574609119 + 11712.9553182308 * tau] + 2.62e-9 * cos[5.08316906342 + 10177.2576795336 * tau] + 3.99e-9 * cos[4.16998866302 + 26.2983197998 * tau] + 2.90e-9 * cos[1.26473978562 + 8635.9420037632 * tau] + 2.94e-9 * cos[4.54798604957 + 11856.2186514245 * tau] + 3.64e-9 * cos[1.08414306177 + 6309.3741697912 * tau] + 3.21e-9 * cos[0.31988767355 + 16200.7727245012 * tau] + 3.81e-9 * cos[5.82033971802 + 7058.5984613154 * tau] + 4.17e-9 * cos[3.70009308674 + 10575.4066829418 * tau] + 4.56e-9 * cos[0.30754294809 + 801.8209311238 * tau] + 3.37e-9 * cos[3.61563704045 + 11790.6290886588 * tau] + 3.60e-9 * cos[5.34379853282 + 7079.3738568078 * tau] + 3.67e-9 * cos[3.3915253225 + 6496.3749454294 * tau] + 5.53e-9 * cos[2.32177369366 + 11506.7697697936 * tau] + 4.02e-9 * cos[2.16544019233 + 7860.4193924392 * tau] + 5.38e-9 * cos[5.54081539805 + 553.5694028424 * tau] + 4.16e-9 * cos[4.04828175503 + 10984.1923516998 * tau] + 4.87e-9 * cos[2.50545369269 + 6127.6554505572 * tau] + 5.34e-9 * cos[5.03740926442 + 9917.6968745098 * tau] + 5.18e-9 * cos[3.97914412373 + 17298.1823273262 * tau] + 5.16e-9 * cos[3.59803483887 + 10969.9652576982 * tau] + 4.78e-9 * cos[1.66857963179 + 12168.0026965746 * tau] + 4.90e-9 * cos[5.90951388655 + 3894.1818295422 * tau] + 5.26e-9 * cos[0.92464258226 + 11371.7046897582 * tau] + 5.47e-9 * cos[2.20144422886 + 1592.5960136328 * tau] + 5.47e-9 * cos[5.27256412213 + 3340.6124266998 * tau] + 5.68e-9 * cos[2.30125315873 + 10973.55568635 * tau] + 6.50e-9 * cos[0.9793569035 + 25132.3033999656 * tau] + 6.35e-9 * cos[0.52413263542 + 6290.1893969922 * tau] + 5.90e-9 * cos[6.18277145205 + 4164.311989613 * tau] + 6.26e-9 * cos[1.50767713598 + 5643.1785636774 * tau] + 6.44e-9 * cos[4.19478168733 + 6040.3472460174 * tau] + 6.62e-9 * cos[4.5520045226 + 5216.5803728014 * tau] + 8.13e-9 * cos[1.63948433322 + 6681.2248533996 * tau] + 9.94e-9 * cos[1.14418521187 + 1059.3819301892 * tau] + 8.57e-9 * cos[1.41661697538 + 5753.3848848968 * tau] + 8.02e-9 * cos[4.10519132088 + 951.7184062506 * tau] + 8.51e-9 * cos[0.65709335533 + 155.4203994342 * tau] + 1.023e-8 * cos[5.62076589825 + 6256.7775301916 * tau] + 8.77e-9 * cos[1.50137505051 + 11926.2544136688 * tau] + 9.16e-9 * cos[0.76613009583 + 16730.4636895958 * tau] + 1.077e-8 * cos[5.82812169132 + 12036.4607348882 * tau] + 9.28e-9 * cos[2.32420318751 + 10213.285546211 * tau] + 9.84e-9 * cos[0.65517395136 + 5856.4776591154 * tau] + 1.234e-8 * cos[5.65036509521 + 5760.4984318976 * tau] + 1.101e-8 * cos[4.49748696552 + 4292.3308329504 * tau] + 1.177e-8 * cos[2.57676109092 + 13367.9726311066 * tau] + 1.470e-8 * cos[3.65282991755 + 1194.4470102246 * tau] + 1.125e-8 * cos[3.35673439497 + 17789.845619785 * tau] + 1.352e-8 * cos[6.15101580257 + 5746.271337896 * tau] + 1.275e-8 * cos[2.69341415363 + 1349.8674096588 * tau] + 1.337e-8 * cos[4.64440864339 + 6836.6452528338 * tau] + 1.504e-8 * cos[3.63293385726 + 11513.8833167944 * tau] + 1.847e-8 * cos[1.82040335363 + 7632.9432596502 * tau] + 1.575e-8 * cos[5.53890170575 + 3154.6870848956 * tau] + 1.583e-8 * cos[4.09702349428 + 11499.6562227928 * tau] + 1.754e-8 * cos[3.22883705112 + 6279.5527316424 * tau] + 1.483e-8 * cos[3.22225357771 + 7234.794256242 * tau] + 1.441e-8 * cos[0.81656250862 + 14143.4952424306 * tau] + 2.093e-8 * cos[1.28191783032 + 1748.016413067 * tau] + 2.250e-8 * cos[3.68863633842 + 7084.8967811152 * tau] + 1.730e-8 * cos[1.5368620855 + 4705.7323075436 * tau] + 2.429e-8 * cos[3.09164528262 + 4690.4798363586 * tau] + 1.932e-8 * cos[5.31374608366 + 8429.2412664666 * tau] + 2.554e-8 * cos[6.13241878525 + 6438.4962494256 * tau] + 2.838e-8 * cos[3.42034351366 + 2352.8661537718 * tau] + 2.186e-8 * cos[0.41991743105 + 8031.0922630584 * tau] + 2.201e-8 * cos[4.95216196651 + 6812.766815086 * tau] + 2.520e-8 * cos[0.24276941146 + 398.1490034082 * tau] + 2.863e-8 * cos[5.48432847146 + 10447.3878396044 * tau] + 3.414e-8 * cos[5.41218322538 + 775.522611324 * tau] + 3.221e-8 * cos[6.15628775313 + 2146.1654164752 * tau] + 3.436e-8 * cos[0.94937019624 + 71430.69561812909 * tau] + 3.518e-8 * cos[0.02290216272 + 83996.84731811189 * tau] + 4.100e-8 * cos[1.08424786092 + 9437.762934887 * tau] + 3.750e-8 * cos[5.07097685568 + 796.2980068164 * tau] + 3.872e-8 * cos[4.74969833437 + 2544.3144198834 * tau] + 4.395e-8 * cos[0.51800238019 + 4694.0029547076 * tau] + 4.669e-8 * cos[5.98724494073 + 529.6909650946 * tau] + 4.985e-8 * cos[6.01401770704 + 6286.5989683404 * tau] + 5.069e-8 * cos[1.68613426734 + 5088.6288397668 * tau] + 8.654e-8 * cos[1.42046854427 + 6275.9623029906 * tau] + 8.634e-8 * cos[0.27146150602 + 5486.777843175 * tau] + 1.0078e-7 * cos[5.91378194648 + 10977.078804699 * tau] + 1.8485e-7 * cos[1.42429748614 + 1577.3435424478 * tau] + 2.4971e-7 * cos[1.31906709482 + 5223.6939198022 * tau] + 3.0799e-7 * cos[2.84353804832 + 5507.5532386674 * tau] + 3.2346e-7 * cos[1.02169059149 + 18849.2275499742 * tau] + 0.00000702215 * cos[3.14159265359 + 0.0 * tau] + 0.00001721238 * cos[1.06442301418 + 12566.1516999828 * tau] + 0.00103018608 * cos[1.10748969588 + 6283.0758499914 * tau]; R2 = 9e-11 * cos[4.91488110218 + 213.299095438 * tau] + 9e-11 * cos[2.04999402381 + 22003.9146348698 * tau] + 9e-11 * cos[3.02238989305 + 23543.23050468179 * tau] + 1.1e-10 * cos[1.31064298246 + 4164.311989613 * tau] + 1.1e-10 * cos[4.64339996198 + 11790.6290886588 * tau] + 1.4e-10 * cos[4.50116508534 + 640.8776073822 * tau] + 1.1e-10 * cos[0.88708889185 + 21228.3920235458 * tau] + 1.1e-10 * cos[1.514433322 + 16200.7727245012 * tau] + 1.2e-10 * cos[0.64705975463 + 18073.7049386502 * tau] + 1.4e-10 * cos[4.73209312936 + 7342.4577801806 * tau] + 1.4e-10 * cos[4.43479032305 + 13517.8701062334 * tau] + 1.4e-10 * cos[2.31721603062 + 5481.2549188676 * tau] + 1.6e-10 * cos[4.4345208093 + 6283.0085396886 * tau] + 1.5e-10 * cos[5.64785377164 + 12559.038152982 * tau] + 1.6e-10 * cos[3.28894009404 + 5884.9268465832 * tau] + 1.6e-10 * cos[5.717699407 + 17298.1823273262 * tau] + 1.5e-10 * cos[4.09775914607 + 11712.9553182308 * tau] + 2.0e-10 * cos[6.10644140189 + 167283.76158766549 * tau] + 1.6e-10 * cos[3.99041783945 + 6283.14316029419 * tau] + 1.6e-10 * cos[3.95085099736 + 3097.88382272579 * tau] + 1.7e-10 * cos[3.08268671348 + 154717.60988768269 * tau] + 1.6e-10 * cos[3.89740925257 + 5331.3574437408 * tau] + 2.3e-10 * cos[3.03021283729 + 66567.48586525429 * tau] + 2.3e-10 * cos[4.97346265647 + 17260.1546546904 * tau] + 2.3e-10 * cos[5.68902059771 + 16460.33352952499 * tau] + 2.2e-10 * cos[4.92663152168 + 18875.525869774 * tau] + 2.3e-10 * cos[4.12454848769 + 2388.8940204492 * tau] + 1.9e-10 * cos[0.80292033311 + 16062.1845261168 * tau] + 2.1e-10 * cos[5.97759081637 + 7.1135470008 * tau] + 2.2e-10 * cos[1.1123252195 + 12721.572099417 * tau] + 2.7e-10 * cos[2.54785812264 + 3496.032826134 * tau] + 2.5e-10 * cos[1.33030250444 + 6282.0955289232 * tau] + 2.1e-10 * cos[0.49258939822 + 29088.811415985 * tau] + 2.1e-10 * cos[4.303630874 + 16858.4825329332 * tau] + 2.0e-10 * cos[1.78208352927 + 17789.845619785 * tau] + 2.5e-10 * cos[2.42188933855 + 5729.506447149 * tau] + 2.2e-10 * cos[1.86956128067 + 16730.4636895958 * tau] + 2.3e-10 * cos[3.83156029849 + 5753.3848848968 * tau] + 2.3e-10 * cos[3.44685609601 + 4136.9104335162 * tau] + 2.5e-10 * cos[3.9452977897 + 3128.3887650958 * tau] + 2.3e-10 * cos[3.87710321433 + 6275.9623029906 * tau] + 2.4e-10 * cos[1.5803725978 + 6496.3749454294 * tau] + 2.4e-10 * cos[1.10425016019 + 4535.0594369244 * tau] + 3.0e-10 * cos[3.47110495524 + 14945.3161735544 * tau] + 2.5e-10 * cos[0.10240267494 + 22483.84857449259 * tau] + 3.1e-10 * cos[5.34906619513 + 143571.32428481648 * tau] + 3.3e-10 * cos[3.08807829566 + 3930.2096962196 * tau] + 3.6e-10 * cos[2.74712003443 + 3738.761430108 * tau] + 2.7e-10 * cos[0.76388991416 + 1589.0728952838 * tau] + 3.0e-10 * cos[1.61904744136 + 9779.1086761254 * tau] + 2.9e-10 * cos[0.15217616684 + 12168.0026965746 * tau] + 2.9e-10 * cos[3.1908862817 + 11926.2544136688 * tau] + 4.2e-10 * cos[4.22496037505 + 88860.05707098669 * tau] + 4.0e-10 * cos[1.98334703186 + 6284.0561710596 * tau] + 4.2e-10 * cos[5.08837645072 + 11015.1064773348 * tau] + 4.3e-10 * cos[5.26370903404 + 10575.4066829418 * tau] + 3.3e-10 * cos[4.24722336872 + 12569.6748183318 * tau] + 3.4e-10 * cos[5.36319798321 + 4933.2084403326 * tau] + 3.5e-10 * cos[5.36033855038 + 25158.6017197654 * tau] + 3.4e-10 * cos[5.63446915337 + 6525.8044539654 * tau] + 3.5e-10 * cos[3.33024911524 + 5643.1785636774 * tau] + 3.7e-10 * cos[0.3635930998 + 10177.2576795336 * tau] + 4.7e-10 * cos[6.21568666789 + 6681.2248533996 * tau] + 5.3e-10 * cos[1.45828359397 + 233141.31440436149 * tau] + 4.9e-10 * cos[0.83021145241 + 11506.7697697936 * tau] + 3.8e-10 * cos[6.17935925345 + 9917.6968745098 * tau] + 3.9e-10 * cos[3.93298068961 + 10973.55568635 * tau] + 4.2e-10 * cos[1.09413724455 + 709.9330485583 * tau] + 4.2e-10 * cos[0.42728171713 + 10213.285546211 * tau] + 4.2e-10 * cos[1.91461189199 + 7477.522860216 * tau] + 5.6e-10 * cos[2.76959005761 + 90955.5516944961 * tau] + 4.1e-10 * cos[3.5712848278 + 7079.3738568078 * tau] + 5.2e-10 * cos[3.90943054011 + 26.2983197998 * tau] + 5.2e-10 * cos[4.13138898038 + 7860.4193924392 * tau] + 5.6e-10 * cos[4.0030107804 + 13367.9726311066 * tau] + 5.0e-10 * cos[5.54441900966 + 1990.745017041 * tau] + 6.1e-10 * cos[2.24359003264 + 8635.9420037632 * tau] + 5.0e-10 * cos[5.57636570536 + 6290.1893969922 * tau] + 5.1e-10 * cos[3.88759155247 + 12036.4607348882 * tau] + 5.5e-10 * cos[5.16878202461 + 7058.5984613154 * tau] + 6.6e-10 * cos[0.51779993906 + 801.8209311238 * tau] + 8.5e-10 * cos[5.39484725499 + 25132.3033999656 * tau] + 6.9e-10 * cos[5.25699888595 + 14143.4952424306 * tau] + 8.0e-10 * cos[6.18440483705 + 1059.3819301892 * tau] + 1.00e-9 * cos[5.19725292131 + 244287.60000722769 * tau] + 7.7e-10 * cos[0.69373708195 + 8429.2412664666 * tau] + 9.5e-10 * cos[1.94452244083 + 11856.2186514245 * tau] + 7.5e-10 * cos[5.84804322893 + 242.728603974 * tau] + 1.09e-9 * cos[5.41063597567 + 6256.7775301916 * tau] + 1.29e-9 * cos[0.76540016965 + 553.5694028424 * tau] + 1.00e-9 * cos[1.14568935785 + 3894.1818295422 * tau] + 1.02e-9 * cos[0.68468295277 + 1592.5960136328 * tau] + 1.01e-9 * cos[4.95015746147 + 398.1490034082 * tau] + 1.25e-9 * cos[3.75754889288 + 6812.766815086 * tau] + 1.26e-9 * cos[5.26866506592 + 6279.5527316424 * tau] + 1.27e-9 * cos[5.48475435134 + 951.7184062506 * tau] + 1.36e-9 * cos[1.48426306582 + 2352.8661537718 * tau] + 1.51e-9 * cos[0.95153163031 + 6127.6554505572 * tau] + 1.40e-9 * cos[0.36401486094 + 10447.3878396044 * tau] + 2.14e-9 * cos[3.38285934319 + 7632.9432596502 * tau] + 1.65e-9 * cos[5.78372596778 + 83996.84731811189 * tau] + 1.97e-9 * cos[2.01083639502 + 1194.4470102246 * tau] + 1.58e-9 * cos[0.04783713552 + 2544.3144198834 * tau] + 1.66e-9 * cos[1.99984925026 + 8031.0922630584 * tau] + 1.70e-9 * cos[2.90220009715 + 9437.762934887 * tau] + 1.86e-9 * cos[1.58690991244 + 6309.3741697912 * tau] + 1.79e-9 * cos[6.02897097053 + 4292.3308329504 * tau] + 1.82e-9 * cos[5.70454011389 + 6040.3472460174 * tau] + 2.53e-9 * cos[2.81496293039 + 1748.016413067 * tau] + 1.95e-9 * cos[4.57808285364 + 529.6909650946 * tau] + 2.01e-9 * cos[4.21905743357 + 1349.8674096588 * tau] + 2.11e-9 * cos[0.21868065485 + 4705.7323075436 * tau] + 2.29e-9 * cos[4.7596958807 + 7234.794256242 * tau] + 2.93e-9 * cos[4.61501268144 + 4690.4798363586 * tau] + 2.38e-9 * cos[2.17720020018 + 155.4203994342 * tau] + 3.21e-9 * cos[5.35313367048 + 3154.6870848956 * tau] + 2.66e-9 * cos[3.13832905677 + 71430.69561812909 * tau] + 2.60e-9 * cos[1.41629543251 + 2146.1654164752 * tau] + 2.79e-9 * cos[1.84120501086 + 4694.0029547076 * tau] + 2.66e-9 * cos[6.17413982699 + 6836.6452528338 * tau] + 3.04e-9 * cos[3.51701098693 + 796.2980068164 * tau] + 4.58e-9 * cos[5.38585314743 + 149854.40013480789 * tau] + 4.67e-9 * cos[3.65753702738 + 7084.8967811152 * tau] + 3.51e-9 * cos[1.8107922777 + 5486.777843175 * tau] + 4.02e-9 * cos[3.2037658529 + 5088.6288397668 * tau] + 4.17e-9 * cos[0.90242451175 + 10977.078804699 * tau] + 4.99e-9 * cos[4.4164924225 + 6286.5989683404 * tau] + 6.09e-9 * cos[1.37969434104 + 6438.4962494256 * tau] + 6.48e-9 * cos[5.47349498544 + 775.522611324 * tau] + 1.102e-8 * cos[2.84173992403 + 161000.6857376741 * tau] + 8.54e-9 * cos[3.10878241236 + 1577.3435424478 * tau] + 1.013e-8 * cos[2.81456417694 + 5223.6939198022 * tau] + 1.471e-8 * cos[4.48028885617 + 5507.5532386674 * tau] + 3.301e-8 * cos[5.47027913302 + 18849.2275499742 * tau] + 5.689e-8 * cos[1.86958905084 + 5573.1428014331 * tau] + 8.792e-8 * cos[3.62777733395 + 77713.7714681205 * tau] + 1.2341e-7 * cos[3.14159265359 + 0.0 * tau] + 0.00000123633 * cos[5.57934722157 + 12566.1516999828 * tau] + 0.00004359385 * cos[5.78455133738 + 6283.0758499914 * tau]; R3 = 5e-11 * cos[3.71102966917 + 6290.1893969922 * tau] + 5e-11 * cos[2.30961231391 + 12036.4607348882 * tau] + 7e-11 * cos[2.98052059053 + 6681.2248533996 * tau] + 5e-11 * cos[1.51104406936 + 7079.3738568078 * tau] + 6e-11 * cos[4.54725567047 + 1059.3819301892 * tau] + 5e-11 * cos[3.15419034438 + 529.6909650946 * tau] + 7e-11 * cos[2.19184402142 + 6812.766815086 * tau] + 7e-11 * cos[3.28615691021 + 7058.5984613154 * tau] + 7e-11 * cos[2.9737489156 + 775.522611324 * tau] + 9e-11 * cos[0.74642756529 + 5729.506447149 * tau] + 9e-11 * cos[0.4727519993 + 6279.5527316424 * tau] + 1.0e-10 * cos[5.19937959068 + 71430.69561812909 * tau] + 1.1e-10 * cos[1.37795688024 + 6309.3741697912 * tau] + 9e-11 * cos[1.56864096494 + 5507.5532386674 * tau] + 1.0e-10 * cos[4.28045254647 + 83996.84731811189 * tau] + 1.1e-10 * cos[5.22327127059 + 6040.3472460174 * tau] + 1.1e-10 * cos[4.39200958819 + 4705.7323075436 * tau] + 1.4e-10 * cos[3.62127621114 + 25132.3033999656 * tau] + 1.6e-10 * cos[3.50416887054 + 6256.7775301916 * tau] + 1.6e-10 * cos[4.26011484232 + 6525.8044539654 * tau] + 1.9e-10 * cos[3.71292621802 + 6438.4962494256 * tau] + 3.3e-10 * cos[5.62216602775 + 6127.6554505572 * tau] + 3.6e-10 * cos[2.8008140905 + 6286.5989683404 * tau] + 2.47e-9 * cos[3.73019298781 + 18849.2275499742 * tau] + 7.74e-9 * cos[0.0 + 0.0 * tau] + 6.729e-8 * cos[3.91697608662 + 12566.1516999828 * tau] + 0.00000144595 * cos[4.27319435148 + 6283.0758499914 * tau]; R4 = 3e-11 * cos[1.28175749811 + 6286.5989683404 * tau] + 6e-11 * cos[3.81514213664 + 149854.40013480789 * tau] + 5e-11 * cos[4.07695126049 + 6127.6554505572 * tau] + 5e-11 * cos[5.26154653107 + 6438.4962494256 * tau] + 7e-11 * cos[4.4121885448 + 161000.6857376741 * tau] + 1.3e-10 * cos[2.05688873673 + 77713.7714681205 * tau] + 1.5e-10 * cos[2.04794573436 + 18849.2275499742 * tau] + 5.3e-10 * cos[3.44031471924 + 5573.1428014331 * tau] + 3.06e-9 * cos[2.2676950123 + 12566.1516999828 * tau] + 3.858e-8 * cos[2.56384387339 + 6283.0758499914 * tau]; R5 = 1e-11 * cos[0.38068797142 + 18849.2275499742 * tau] + 1.2e-10 * cos[0.65617264033 + 12566.1516999828 * tau] + 8.6e-10 * cos[1.21579741687 + 6283.0758499914 * tau]; L = ((L0 + L1 tau + L2 tau^2 + L3 tau^3 + L4 tau^4 + L5 tau^5) radians) mod circle B = ((B0 + B1 tau + B2 tau^2 + B3 tau^3 + B4 tau^4) radians) mod circle R = (R0 + R1 tau + R2 tau^2 + R3 tau^3 + R4 tau^4 + R5 tau^5) au return [L, B, R] } // // Mars // // This function calculates the heliocentric coordinates of Mars // referred to the mean equinox *of the date*. You may want to convert this // to another coordinate system, such as FK5. // // arguments: // d: the date/time to be calculated for // // returns: // [L, B, R] // // Where // L is the heliocentric longitude, // B is the heliocentric latitude // R is the distance from the sun. class var MarsHeliocentricCoordinates = {|d| tau = meeusT[d] / 10 L0 = 3.9e-10 * cos[4.91767933978 + 8034.6153814074 * tau] + 4.5e-10 * cos[2.33470159894 + 3123.7902129128 * tau] + 4.4e-10 * cos[3.01299253859 + 7417.1013669314 * tau] + 3.6e-10 * cos[6.02115369796 + 6474.524116103 * tau] + 3.7e-10 * cos[1.82286411009 + 10017.9559447414 * tau] + 4.0e-10 * cos[4.99798468494 + 10042.1925994982 * tau] + 4.0e-10 * cos[2.79414141035 + 3067.9394693482 * tau] + 3.8e-10 * cos[3.55681323215 + 5351.7127631396 * tau] + 3.8e-10 * cos[5.75425648893 + 4531.5363185754 * tau] + 4.2e-10 * cos[4.13725767158 + 8336.7851575978 * tau] + 5.1e-10 * cos[3.36181117037 + 8976.6824439118 * tau] + 3.8e-10 * cos[0.58076516432 + 8966.3875031733 * tau] + 4.8e-10 * cos[5.03779546898 + 7064.1041319706 * tau] + 3.7e-10 * cos[5.84953090935 + 6791.431174619 * tau] + 4.7e-10 * cos[2.16244218985 + 10027.3602044068 * tau] + 3.9e-10 * cos[4.98185580267 + 3468.5639597344 * tau] + 3.9e-10 * cos[5.28113083211 + 3343.1552239806 * tau] + 3.8e-10 * cos[4.88249540246 + 3499.555944483 * tau] + 5.2e-10 * cos[3.17851184154 + 2324.9494088156 * tau] + 3.9e-10 * cos[0.50727886431 + 10011.2006147496 * tau] + 4.3e-10 * cos[1.90603004035 + 3451.7990689874 * tau] + 5.4e-10 * cos[6.11998016428 + 16894.5103996106 * tau] + 4.3e-10 * cos[5.05297177283 + 3229.4257844122 * tau] + 5.0e-10 * cos[0.30214747765 + 3358.4249488178 * tau] + 5.0e-10 * cos[2.27112469544 + 3427.9206312396 * tau] + 4.3e-10 * cos[1.7457161378 + 3130.8364496108 * tau] + 4.2e-10 * cos[6.07282126953 + 4295.8539512994 * tau] + 4.9e-10 * cos[2.06320966659 + 4296.9015826704 * tau] + 5.6e-10 * cos[5.25687695855 + 12808.8803039568 * tau] + 4.8e-10 * cos[0.19934255781 + 1905.4647649404 * tau] + 4.3e-10 * cos[2.10202660495 + 3337.1566186536 * tau] + 4.5e-10 * cos[2.39713581676 + 8852.2490286908 * tau] + 4.3e-10 * cos[4.3172345953 + 5881.4037282342 * tau] + 4.5e-10 * cos[5.07701425888 + 14951.522602083 * tau] + 4.6e-10 * cos[1.66182208107 + 7768.0083396856 * tau] + 5.0e-10 * cos[4.16235480519 + 12979.553174576 * tau] + 4.5e-10 * cos[3.14626081312 + 13951.5145338074 * tau] + 5.4e-10 * cos[4.28556326526 + 2910.4911174748 * tau] + 5.4e-10 * cos[0.61701959453 + 4716.3862265456 * tau] + 5.5e-10 * cos[5.6167298818 + 45494.58142974879 * tau] + 6.2e-10 * cos[1.4219800963 + 6830.7880505342 * tau] + 5.1e-10 * cos[1.11244863072 + 6901.6374958384 * tau] + 5.3e-10 * cos[3.8513121352 + 9758.7533567266 * tau] + 5.4e-10 * cos[4.45945188023 + 10284.9212034722 * tau] + 4.8e-10 * cos[2.81171553464 + 3372.5847325166 * tau] + 5.1e-10 * cos[2.54791773443 + 4001.8453534808 * tau] + 4.9e-10 * cos[3.17471347671 + 5452.2627400774 * tau] + 6.7e-10 * cos[4.63578431535 + 4694.0029547076 * tau] + 5.0e-10 * cos[4.68787711774 + 3253.30422216 * tau] + 5.0e-10 * cos[0.37366902835 + 3322.7999045818 * tau] + 5.1e-10 * cos[4.81258158513 + 4403.517475238 * tau] + 5.1e-10 * cos[1.45142985881 + 3547.3131639964 * tau] + 6.0e-10 * cos[0.77450276964 + 3319.2767862328 * tau] + 5.3e-10 * cos[4.65521663671 + 3448.2759506384 * tau] + 6.4e-10 * cos[4.72286914683 + 2281.1631862078 * tau] + 5.4e-10 * cos[3.66018290396 + 2917.5373541728 * tau] + 6.5e-10 * cos[1.48236627574 + 4819.4790007642 * tau] + 6.0e-10 * cos[6.18449904353 + 3361.9480671668 * tau] + 6.4e-10 * cos[4.79175268505 + 3181.6689089166 * tau] + 6.9e-10 * cos[5.35281990892 + 2544.2971662312 * tau] + 7.2e-10 * cos[3.38857910283 + 3184.2117061974 * tau] + 6.2e-10 * cos[5.49002783256 + 4957.0868780804 * tau] + 8.6e-10 * cos[1.73112264739 + 6286.5989683404 * tau] + 6.9e-10 * cos[2.67053540192 + 2641.3412784722 * tau] + 6.3e-10 * cos[6.05841309176 + 6453.7487206106 * tau] + 6.9e-10 * cos[1.10040627005 + 2544.3316735356 * tau] + 7.0e-10 * cos[0.8417007058 + 16695.94858649819 * tau] + 7.3e-10 * cos[2.57583496978 + 6614.7374444852 * tau] + 7.0e-10 * cos[0.93640431668 + 6106.8800550648 * tau] + 6.5e-10 * cos[2.79212460026 + 13497.5147868346 * tau] + 6.5e-10 * cos[3.50466797067 + 9161.5273513466 * tau] + 8.2e-10 * cos[5.4920498711 + 5483.254724826 * tau] + 8.1e-10 * cos[4.91537623765 + 3333.9287628257 * tau] + 7.0e-10 * cos[3.05647570196 + 10081.211142013 * tau] + 7.0e-10 * cos[5.60319851277 + 13383.2251022916 * tau] + 6.7e-10 * cos[4.76301301456 + 6812.766815086 * tau] + 7.8e-10 * cos[2.62374773232 + 2810.8541513024 * tau] + 6.9e-10 * cos[3.57006764536 + 14955.045720432 * tau] + 6.7e-10 * cos[4.88776321797 + 4379.6390374902 * tau] + 6.7e-10 * cos[4.31723563048 + 2281.2978068134 * tau] + 6.8e-10 * cos[2.4593769794 + 6279.5527316424 * tau] + 8.0e-10 * cos[4.01817623627 + 3311.18291816379 * tau] + 7.6e-10 * cos[5.21065604639 + 4271.9755135516 * tau] + 8.4e-10 * cos[5.8322038791 + 22.3782713026 * tau] + 7.0e-10 * cos[1.16361323015 + 5220.1708014532 * tau] + 9.2e-10 * cos[1.1308844819 + 7747.7203305896 * tau] + 8.1e-10 * cos[2.48353174238 + 73.6009559152 * tau] + 8.8e-10 * cos[5.38469204503 + 17762.4440636882 * tau] + 7.8e-10 * cos[2.17664185326 + 13421.8235687128 * tau] + 7.1e-10 * cos[5.32625652676 + 6670.1791531357 * tau] + 7.4e-10 * cos[4.93439968296 + 13517.8027959306 * tau] + 7.3e-10 * cos[2.20102876718 + 30774.5016425748 * tau] + 7.1e-10 * cos[4.04186021414 + 259.493494721 * tau] + 7.5e-10 * cos[4.10299895268 + 5525.8636959926 * tau] + 9.9e-10 * cos[0.48801369293 + 17499.3601403154 * tau] + 7.8e-10 * cos[2.21525134547 + 2810.988771908 * tau] + 7.9e-10 * cos[2.33442828498 + 12465.5344127422 * tau] + 7.1e-10 * cos[3.13537213242 + 9488.6231966558 * tau] + 9.3e-10 * cos[3.41302342683 + 1596.1191319818 * tau] + 8.4e-10 * cos[3.41538432898 + 6637.5059410946 * tau] + 7.3e-10 * cos[4.42902162523 + 14.7372823256 * tau] + 7.9e-10 * cos[3.7866638604 + 7.5786792096 * tau] + 7.5e-10 * cos[5.2806125707 + 12306.590894959 * tau] + 9.3e-10 * cos[1.38010528069 + 3145.6410422392 * tau] + 7.7e-10 * cos[0.10707484151 + 1371.411763456 * tau] + 7.4e-10 * cos[0.48470953224 + 11456.9849418588 * tau] + 7.4e-10 * cos[0.42228487063 + 48429.2821823244 * tau] + 8.7e-10 * cos[0.91979096638 + 8425.7181481176 * tau] + 7.5e-10 * cos[4.59723160021 + 9993.3880926316 * tau] + 9.2e-10 * cos[2.67278833288 + 6680.7949702729 * tau] + 7.5e-10 * cos[3.46629875063 + 13341.6743113068 * tau] + 9.4e-10 * cos[4.18941238607 + 20043.6573065466 * tau] + 1.05e-9 * cos[1.74376904536 + 36.6485629295 * tau] + 9.7e-10 * cos[3.97960395898 + 18208.349942592 * tau] + 7.9e-10 * cos[4.69625309523 + 5298.337506553 * tau] + 9.6e-10 * cos[5.85152670536 + 3492.509707785 * tau] + 8.2e-10 * cos[3.11421789241 + 8446.9914788172 * tau] + 1.01e-9 * cos[5.76349087526 + 1484.9324896942 * tau] + 9.4e-10 * cos[2.14762315943 + 13532.0298899322 * tau] + 8.4e-10 * cos[0.78188080031 + 7214.4389368432 * tau] + 7.8e-10 * cos[5.77285430206 + 10397.6030116696 * tau] + 8.0e-10 * cos[2.7736315821 + 9495.6694333538 * tau] + 8.4e-10 * cos[2.71620952175 + 12089.768681172 * tau] + 8.0e-10 * cos[4.04733274699 + 3188.7151456146 * tau] + 8.2e-10 * cos[1.83662951627 + 19190.4781784468 * tau] + 8.4e-10 * cos[4.04104644774 + 9815.6517316622 * tau] + 9.1e-10 * cos[1.16317999954 + 3495.9655158312 * tau] + 9.4e-10 * cos[0.58147434179 + 14128.2427712456 * tau] + 8.5e-10 * cos[1.95515305721 + 4686.95671800959 * tau] + 8.0e-10 * cos[1.68097745917 + 12839.8722887054 * tau] + 1.04e-9 * cos[0.94882888784 + 2735.762685995 * tau] + 7.9e-10 * cos[2.89839604813 + 22854.596021804 * tau] + 8.5e-10 * cos[4.66573809999 + 8638.9499332528 * tau] + 9.4e-10 * cos[6.22018441621 + 20043.69181385099 * tau] + 9.5e-10 * cos[0.02613500045 + 2.9010142898 * tau] + 8.0e-10 * cos[4.34410099751 + 7218.029365495 * tau] + 8.1e-10 * cos[5.26971110105 + 12199.9750023914 * tau] + 8.2e-10 * cos[4.71321236549 + 7733.493236588 * tau] + 8.5e-10 * cos[5.92093268818 + 12299.544658261 * tau] + 9.3e-10 * cos[2.41895388985 + 20040.15144184979 * tau] + 8.4e-10 * cos[1.34333260788 + 4133.3873151672 * tau] + 9.6e-10 * cos[2.99829695985 + 6510.5519827804 * tau] + 8.6e-10 * cos[2.46839611271 + 113.7294395684 * tau] + 8.3e-10 * cos[3.58400049244 + 12928.7379689224 * tau] + 8.7e-10 * cos[2.90507350729 + 36.995590611 * tau] + 1.15e-9 * cos[3.3050783005 + 14157.7000822446 * tau] + 8.7e-10 * cos[5.31716927554 + 1868.8593996362 * tau] + 8.7e-10 * cos[4.25461508452 + 8.1681365824 * tau] + 1.12e-9 * cos[2.26524635842 + 10006.5848089144 * tau] + 8.3e-10 * cos[0.36972674664 + 9755.2302383776 * tau] + 8.3e-10 * cos[3.13948373813 + 10191.4174632324 * tau] + 1.16e-9 * cos[0.88573303872 + 16511.6138673874 * tau] + 8.5e-10 * cos[4.73193631802 + 4576.6880870228 * tau] + 9.6e-10 * cos[6.08772700197 + 1755.4716846791 * tau] + 1.18e-9 * cos[6.10625309129 + 454.9093665273 * tau] + 8.6e-10 * cos[1.27758598252 + 34513.2630726828 * tau] + 9.9e-10 * cos[4.58890225582 + 3774.3241645766 * tau] + 8.6e-10 * cos[3.94463425808 + 16.764890747 * tau] + 8.5e-10 * cos[3.07438636612 + 9983.7042444616 * tau] + 9.4e-10 * cos[2.2781906199 + 4845.9002357928 * tau] + 1.18e-9 * cos[3.88268323672 + 1236.075660323 * tau] + 9.1e-10 * cos[1.89622049447 + 37895.4262903674 * tau] + 8.9e-10 * cos[3.27633365389 + 3002.3697277168 * tau] + 8.7e-10 * cos[2.09287965409 + 10264.5658840734 * tau] + 1.10e-9 * cos[6.27936643935 + 3337.106562003 * tau] + 9.5e-10 * cos[0.30865798871 + 29168.5965462412 * tau] + 9.1e-10 * cos[6.04139177526 + 153.9252335244 * tau] + 9.4e-10 * cos[0.61277732908 + 73.6354632196 * tau] + 1.00e-9 * cos[0.19616913512 + 11883.5831327348 * tau] + 8.8e-10 * cos[2.47386826588 + 17232.7530985936 * tau] + 9.3e-10 * cos[0.6609244332 + 30.9919847486 * tau] + 9.5e-10 * cos[2.58771497236 + 11663.170490296 * tau] + 9.1e-10 * cos[4.94377681711 + 8756.269801473 * tau] + 9.4e-10 * cos[1.51091806861 + 9801.4246376606 * tau] + 9.9e-10 * cos[1.86991802881 + 72.0557333548 * 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cos[4.62770076269 + 9329.6796788726 * tau] + 1.06e-9 * cos[0.53379407701 + 5085.1057214178 * tau] + 1.08e-9 * cos[3.37299798972 + 6717.8302187038 * tau] + 1.49e-9 * cos[4.91688353237 + 277.0349937414 * tau] + 1.17e-9 * cos[1.20057736014 + 6705.1032911474 * tau] + 1.09e-9 * cos[3.73199687068 + 13635.1226641508 * tau] + 1.12e-9 * cos[4.79777726412 + 12140.6011404778 * tau] + 1.11e-9 * cos[3.28808788953 + 257.018007743 * tau] + 1.45e-9 * cos[4.95495312886 + 9859.3706439672 * tau] + 1.47e-9 * cos[4.73848506543 + 11610.9101753832 * tau] + 1.28e-9 * cos[5.77326416186 + 13369.5632538 * tau] + 1.08e-9 * cos[0.72637519191 + 10.569355047 * tau] + 1.09e-9 * cos[5.65707270595 + 3344.152798701 * tau] + 1.14e-9 * cos[4.87315937546 + 6151.5166346528 * tau] + 1.09e-9 * cos[1.94277745743 + 16702.9948231962 * tau] + 1.09e-9 * cos[3.62630036582 + 3344.11829139661 * tau] + 1.17e-9 * cos[0.03006245187 + 7.6737919754 * tau] + 1.20e-9 * cos[6.09430372868 + 4106.4054911462 * tau] + 1.34e-9 * cos[3.3592621473 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cos[3.85987749053 + 13361.469385731 * tau] + 1.26e-9 * cos[4.39378462616 + 21548.9623692918 * tau] + 1.72e-9 * cos[5.21328160366 + 6747.712262314 * tau] + 1.29e-9 * cos[1.94909076932 + 19645.5255567906 * tau] + 1.50e-9 * cos[0.40179894287 + 1111.642245102 * tau] + 1.62e-9 * cos[5.36465149996 + 2472.6787626222 * tau] + 1.36e-9 * cos[3.62250122667 + 3511.285297319 * tau] + 1.25e-9 * cos[3.20445201519 + 29.8820436102 * tau] + 1.34e-9 * cos[1.09641189843 + 8962.438096258 * tau] + 1.33e-9 * cos[0.39052474466 + 12410.7313005486 * tau] + 1.28e-9 * cos[1.27276688747 + 8584.6616659008 * tau] + 1.27e-9 * cos[5.78406495652 + 14577.1847261198 * tau] + 1.39e-9 * cos[5.33624615245 + 23958.6317852334 * tau] + 1.79e-9 * cos[3.25589354429 + 4922.5717749828 * tau] + 1.74e-9 * cos[5.18169887171 + 28230.18722269139 * tau] + 1.28e-9 * cos[2.8696933273 + 6549.6828917132 * tau] + 1.35e-9 * cos[5.06017183369 + 11876.469585734 * tau] + 1.31e-9 * cos[5.43398849473 + 25665.5174834092 * tau] + 1.40e-9 * cos[6.13853404667 + 12729.665967486 * tau] + 1.47e-9 * cos[4.94673462086 + 15010.8964639966 * tau] + 1.31e-9 * cos[3.95250083817 + 3.4558080462 * tau] + 1.58e-9 * cos[6.25022915072 + 6666.997759398 * tau] + 1.56e-9 * cos[0.1230414464 + 1107.1388056848 * tau] + 1.32e-9 * cos[0.409015061 + 1083.260367937 * tau] + 1.62e-9 * cos[4.05905033891 + 1795.258443721 * tau] + 1.81e-9 * cos[3.31978654659 + 139.6981395228 * tau] + 1.63e-9 * cos[5.91124428824 + 16703.07938715119 * tau] + 1.38e-9 * cos[5.19336961955 + 13363.4300278674 * tau] + 1.36e-9 * cos[5.06627117467 + 14421.8316369884 * tau] + 1.50e-9 * cos[0.81912738038 + 3416.8784979754 * tau] + 1.35e-9 * cos[6.03727673544 + 1214.8023296234 * tau] + 1.68e-9 * cos[3.24434245132 + 11614.4332937322 * tau] + 1.34e-9 * cos[0.8948661109 + 13286.1836355236 * tau] + 1.72e-9 * cos[3.83276777655 + 6621.850991486 * tau] + 1.69e-9 * cos[2.2740858315 + 379.3734138742 * tau] + 1.35e-9 * cos[0.34109799474 + 7322.1024607818 * tau] + 1.80e-9 * cos[1.07686767816 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cos[6.21085922593 + 3909.4343007272 * tau] + 1.64e-9 * cos[1.71077130702 + 15849.865751747 * tau] + 1.81e-9 * cos[0.50010974122 + 2125.8774073792 * tau] + 1.88e-9 * cos[3.41823914376 + 5032.7780962022 * tau] + 1.69e-9 * cos[5.12437031125 + 3223.2925584796 * tau] + 1.67e-9 * cos[1.48091400654 + 2619.4731954936 * tau] + 1.83e-9 * cos[4.9316196205 + 9468.267877257 * tau] + 1.68e-9 * cos[5.13131619552 + 21393.5419698576 * tau] + 1.82e-9 * cos[2.57146189845 + 418.504322807 * tau] + 1.71e-9 * cos[5.82189798695 + 23937.856389741 * tau] + 1.74e-9 * cos[4.58412775793 + 3283.7140517642 * tau] + 1.99e-9 * cos[0.07164714815 + 375.7657315702 * tau] + 1.74e-9 * cos[1.61086801253 + 30065.5118402982 * tau] + 1.79e-9 * cos[1.55718466444 + 3362.4632560262 * tau] + 2.35e-9 * cos[1.28568802052 + 4427.3959129858 * tau] + 1.76e-9 * cos[5.81532365473 + 12406.1605508286 * tau] + 1.87e-9 * cos[3.45440079747 + 1329.51209026 * tau] + 1.98e-9 * cos[3.55065962909 + 24606.13555322 * tau] + 1.81e-9 * 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cos[3.24343740861 + 11773.3768115154 * tau] + 0.00000113486 * cos[3.70070798123 + 1589.0728952838 * tau] + 0.00000110375 * cos[1.05195079687 + 242.728603974 * tau] + 0.00000116945 * cos[3.12805282207 + 7903.073419721 * tau] + 0.00000128102 * cos[2.20806651008 + 1592.5960136328 * tau] + 0.00000139897 * cos[3.32592516164 + 2700.7151403858 * tau] + 0.00000128062 * cos[1.80665643332 + 5088.6288397668 * tau] + 0.00000138245 * cos[4.30145176915 + 7.1135470008 * tau] + 0.00000130993 * cos[4.04491720264 + 12303.06777661 * tau] + 0.00000174068 * cos[2.41360332576 + 553.5694028424 * tau] + 0.00000160011 * cos[3.94854735192 + 4562.4609930212 * tau] + 0.00000144305 * cos[1.41874193418 + 135.0650800354 * tau] + 0.00000193126 * cos[3.35715137745 + 3.5904286518 * tau] + 0.0000017211 * cos[0.43943041719 + 5486.777843175 * tau] + 0.00000179196 * cos[1.00561112574 + 951.7184062506 * tau] + 0.00000221225 * cos[3.50466672203 + 382.8965322232 * tau] + 0.00000188639 * cos[1.49103016486 + 9492.1463150048 * tau] + 0.00000238857 * cos[5.37155471672 + 4136.9104335162 * tau] + 0.00000204161 * cos[2.82133266185 + 1221.8485663214 * tau] + 0.00000299396 * cos[2.78323705697 + 6254.6266625236 * tau] + 0.00000274035 * cos[0.13372501211 + 3340.6797370026 * tau] + 0.00000236114 * cos[5.75504515576 + 3333.498879699 * tau] + 0.000002836 * cos[5.76885494123 + 3149.1641605882 * tau] + 0.00000231185 * cos[1.28240685294 + 3870.3033917944 * tau] + 0.00000281073 * cos[5.88163372945 + 1349.8674096588 * tau] + 0.00000274028 * cos[0.54222141841 + 3340.545116397 * tau] + 0.00000302377 * cos[4.48618150321 + 3532.0606928114 * tau] + 0.00000293199 * cos[4.22131277914 + 20.7753954924 * tau] + 0.00000312141 * cos[0.99853322843 + 6677.7017350506 * tau] + 0.00000306552 * cos[0.38052862973 + 6684.7479717486 * tau] + 0.00000472164 * cos[3.6254781941 + 1194.4470102246 * tau] + 0.00000415132 * cos[0.49662314774 + 213.299095438 * tau] + 0.00000425972 * cos[0.55365138172 + 6283.0758499914 * tau] + 0.00000552746 * cos[4.47478863016 + 1748.016413067 * tau] + 0.00000550472 * cos[3.81001205408 + 0.9803210682 * tau] + 0.00000655163 * cos[0.48864075176 + 3127.3133312618 * tau] + 0.00000635557 * cos[2.92182704275 + 8432.7643848156 * tau] + 0.00000723863 * cos[0.67497565801 + 3738.761430108 * tau] + 0.00000748724 * cos[3.82248399468 + 155.4203994342 * tau] + 0.00000712899 * cos[3.66336014788 + 1059.3819301892 * tau] + 0.00000832724 * cos[4.49495753458 + 3340.629680352 * tau] + 0.00000832718 * cos[2.46418591282 + 3340.5951730476 * tau] + 0.0000085876 * cos[2.40093704204 + 2914.0142358238 * tau] + 0.00000891567 * cos[0.1829389909 + 16703.062133499 * tau] + 0.00001024907 * cos[3.69334293555 + 8962.4553499102 * tau] + 0.00001546408 * cos[2.91579633392 + 1751.539531416 * tau] + 0.00001286232 * cos[3.06795924626 + 2146.1654164752 * tau] + 0.00001264356 * cos[3.62275092231 + 5092.1519581158 * tau] + 0.00001798808 * cos[0.65634026844 + 529.6909650946 * tau] + 0.0000152814 * cos[1.14979306228 + 6151.533888305 * tau] + 0.00002579842 * cos[0.02996706197 + 3344.1355450488 * tau] + 0.0000238942 * cos[5.03896401349 + 796.2980068164 * tau] + 0.00002937543 * cos[6.07893711408 + 0.0673103028 * tau] + 0.00002628122 * cos[0.6480614357 + 3337.0893083508 * tau] + 0.0000307525 * cos[0.85696597082 + 191.4482661116 * tau] + 0.00004161101 * cos[0.2281497533 + 2942.4634232916 * tau] + 0.00003575079 * cos[1.66186540141 + 2544.3144198834 * tau] + 0.00007774867 * cos[3.33968655074 + 5621.8429232104 * tau] + 0.00006797552 * cos[0.36462243626 + 398.1490034082 * tau] + 0.00008715688 * cos[6.11005159792 + 13362.4497067992 * tau] + 0.00008926772 * cos[4.15697845939 + 0.0172536522 * tau] + 0.00012315897 * cos[0.84956081238 + 2810.9214616052 * tau] + 0.0001061023 * cos[2.93958524973 + 2281.2304965106 * tau] + 0.00027744987 * cos[5.97049512942 + 3.523118349 * tau] + 0.00091798394 * cos[5.75478745111 + 10021.8372800994 * tau] + 0.01108216792 * cos[5.40099836958 + 6681.2248533996 * tau] + 0.186563681 * cos[5.05037100303 + 3340.6124266998 * tau] + 6.20347711583 * cos[0.0 + 0.0 * tau]; L1 = 3.2e-10 * cos[3.37195631109 + 2284.7536148596 * tau] + 2.4e-10 * cos[0.20355912395 + 3229.4257844122 * tau] + 3.1e-10 * cos[1.72899093511 + 13745.3462390224 * tau] + 2.5e-10 * cos[0.67881122439 + 23937.856389741 * tau] + 2.6e-10 * cos[2.22427360058 + 10050.2864675672 * tau] + 3.1e-10 * cos[4.29076841627 + 10020.8569590312 * tau] + 2.5e-10 * cos[0.31303295413 + 6571.0185321802 * tau] + 3.1e-10 * cos[0.88248871193 + 3340.1825435731 * tau] + 3.0e-10 * cos[4.75096367323 + 15906.7641266826 * tau] + 3.3e-10 * cos[3.77237326006 + 12808.8803039568 * tau] + 2.7e-10 * cos[3.943852717 + 23958.6317852334 * tau] + 2.7e-10 * cos[3.261798558 + 8756.269801473 * tau] + 2.7e-10 * cos[2.94945830517 + 7203.8022714934 * tau] + 2.7e-10 * cos[6.21846173482 + 5223.6939198022 * tau] + 2.7e-10 * cos[6.13498177783 + 3362.4632560262 * tau] + 3.1e-10 * cos[0.44265747667 + 3451.7990689874 * tau] + 2.9e-10 * cos[2.48646403166 + 9815.6517316622 * tau] + 2.7e-10 * cos[0.57810321636 + 3391.89276456221 * tau] + 3.9e-10 * cos[4.11042361929 + 3312.163239232 * tau] + 3.4e-10 * cos[2.32358226279 + 9072.6616711296 * tau] + 3.1e-10 * cos[3.18481282781 + 3341.0423098265 * tau] + 3.2e-10 * cos[6.1110697981 + 4392.8808098882 * tau] + 3.7e-10 * cos[5.48374357342 + 3311.18291816379 * tau] + 3.8e-10 * cos[0.12870962242 + 6604.958782124 * tau] + 3.0e-10 * cos[0.98518793666 + 20426.571092422 * tau] + 3.8e-10 * cos[5.66461657503 + 3416.8784979754 * tau] + 3.1e-10 * cos[5.4297846421 + 9945.5712088238 * tau] + 3.2e-10 * cos[5.63043769073 + 3511.285297319 * tau] + 3.5e-10 * cos[0.31961016732 + 6645.1969867222 * tau] + 3.5e-10 * cos[6.02955363644 + 3568.0885594888 * tau] + 3.3e-10 * cos[1.39167727215 + 4825.544916394 * tau] + 3.4e-10 * cos[4.9773499235 + 6670.5881880498 * tau] + 4.2e-10 * cos[6.02555835659 + 6691.8615187494 * tau] + 4.3e-10 * cos[4.61937364869 + 3341.0325027934 * tau] + 4.4e-10 * cos[0.57891618854 + 16865.5287696312 * tau] + 3.9e-10 * cos[2.84167905068 + 6652.7756659318 * tau] + 3.8e-10 * cos[3.27498743518 + 18052.9295431578 * tau] + 3.9e-10 * cos[5.69967200167 + 6106.8800550648 * tau] + 3.9e-10 * cos[1.84985100829 + 10001.48196070061 * tau] + 4.0e-10 * cos[0.9680161856 + 14591.4118201214 * tau] + 4.3e-10 * cos[1.28813888865 + 6643.0918177618 * tau] + 5.1e-10 * cos[1.99634375899 + 5032.7780962022 * tau] + 4.2e-10 * cos[5.20400092044 + 4447.7512323846 * tau] + 4.3e-10 * cos[4.87912487459 + 6414.6178116778 * tau] + 5.0e-10 * cos[2.59881540437 + 6621.850991486 * tau] + 5.8e-10 * cos[3.1447475355 + 4025.6564809258 * tau] + 4.5e-10 * cos[4.01853755929 + 19406.6782881746 * tau] + 4.4e-10 * cos[2.00664763411 + 6418.1409300268 * tau] + 5.1e-10 * cos[2.99576014378 + 3774.3241645766 * tau] + 4.6e-10 * cos[2.69368087378 + 16547.6417340648 * tau] + 6.3e-10 * cos[4.16165369755 + 8186.5126624926 * tau] + 4.7e-10 * cos[3.03959709242 + 5408.5438277724 * tau] + 5.0e-10 * cos[3.84651247899 + 45494.58142974879 * tau] + 6.0e-10 * cos[1.00159365247 + 151.8972810852 * tau] + 6.5e-10 * cos[1.03099992649 + 4106.4054911462 * tau] + 5.1e-10 * cos[0.113906433 + 17402.3332817266 * tau] + 4.8e-10 * cos[5.68336050679 + 8646.0634802536 * tau] + 5.3e-10 * cos[5.67436244967 + 1883.0814931024 * tau] + 4.9e-10 * cos[2.657002099 + 6944.3087767724 * tau] + 5.4e-10 * cos[2.77410607136 + 6705.1032911474 * tau] + 5.4e-10 * cos[5.34683925496 + 6578.132079181 * tau] + 5.2e-10 * cos[3.2868331301 + 6756.0064519669 * tau] + 5.2e-10 * cos[2.65290577481 + 15650.7937503106 * tau] + 6.9e-10 * cos[1.09637075565 + 24076.4445881254 * tau] + 5.1e-10 * cos[2.88289068067 + 39601.8919124496 * tau] + 6.8e-10 * cos[2.92105834159 + 10025.4277087512 * tau] + 5.0e-10 * cos[2.65624501709 + 10124.930054318 * tau] + 5.9e-10 * cos[5.94433755684 + 625.6701923124 * tau] + 6.0e-10 * cos[0.33350021257 + 13575.7488022372 * tau] + 5.2e-10 * cos[6.25882226723 + 12509.2533250472 * tau] + 5.2e-10 * cos[2.05209599225 + 7366.2689076256 * tau] + 7.2e-10 * cos[4.66520155151 + 6685.1061887576 * tau] + 6.9e-10 * cos[3.37092084432 + 41.5507909848 * tau] + 5.3e-10 * cos[4.51539970261 + 9886.772200064 * tau] + 5.3e-10 * cos[0.46840976995 + 19645.5255567906 * tau] + 5.4e-10 * cos[5.51196184505 + 44.6538332402 * tau] + 5.5e-10 * cos[4.02023620788 + 4005.3684718298 * tau] + 5.7e-10 * cos[5.31542907454 + 28628.3362260996 * tau] + 7.2e-10 * cos[4.90742373357 + 25287.7237993998 * tau] + 6.5e-10 * cos[1.51615558729 + 5511.636601991 * tau] + 5.6e-10 * cos[5.01712943722 + 485.9720527896 * tau] + 6.5e-10 * cos[6.21442820689 + 6947.8318951214 * tau] + 5.5e-10 * cos[1.14774475393 + 4459.3682188026 * tau] + 6.2e-10 * cos[0.05229160039 + 14061.7208550268 * tau] + 5.5e-10 * cos[0.45166365461 + 16702.9948231962 * tau] + 5.6e-10 * cos[3.94541346495 + 25665.5174834092 * tau] + 5.6e-10 * cos[5.94452825242 + 21548.9623692918 * tau] + 6.8e-10 * cos[3.51423189318 + 14556.8967170238 * tau] + 6.5e-10 * cos[2.70973517401 + 19617.07636932279 * tau] + 5.7e-10 * cos[0.04695703833 + 24889.5747959916 * tau] + 5.7e-10 * cos[4.57828186723 + 10037.0897512844 * tau] + 5.6e-10 * cos[2.20908914878 + 6688.2710900976 * tau] + 5.6e-10 * cos[3.36788837326 + 4379.6390374902 * tau] + 5.6e-10 * cos[5.11205539684 + 7322.1024607818 * tau] + 6.6e-10 * cos[5.93804470886 + 3490.1756238344 * tau] + 7.0e-10 * cos[5.98596344975 + 6531.661656265 * tau] + 5.7e-10 * cos[4.31819630987 + 95.9792272178 * tau] + 6.2e-10 * cos[0.11206359088 + 14047.4937610252 * tau] + 7.2e-10 * cos[3.39739853142 + 685.1113645288 * tau] + 5.9e-10 * cos[6.25689995147 + 41427.4869831788 * tau] + 6.8e-10 * cos[5.59792852411 + 377.3736079158 * tau] + 8.1e-10 * cos[3.66553577428 + 15265.8865193004 * tau] + 6.8e-10 * cos[4.45713540461 + 9175.7544453482 * tau] + 6.8e-10 * cos[1.10866475394 + 6155.057006654 * tau] + 7.8e-10 * cos[1.65377731167 + 11614.4332937322 * tau] + 6.2e-10 * cos[0.23148800541 + 7314.0085927128 * tau] + 6.3e-10 * cos[3.16314818302 + 11670.2840372968 * tau] + 6.1e-10 * cos[0.33159827734 + 12012.5822971404 * tau] + 7.5e-10 * cos[5.54907590704 + 16872.642316632 * tau] + 6.3e-10 * cos[3.63625395496 + 25685.872802808 * tau] + 8.1e-10 * cos[4.40575713075 + 16703.07938715119 * tau] + 6.2e-10 * cos[1.69131771765 + 632.7837393132 * tau] + 8.7e-10 * cos[2.45966764758 + 7321.1221397136 * tau] + 6.8e-10 * cos[0.9790733543 + 6717.252720077 * tau] + 6.4e-10 * cos[2.8044732232 + 20809.4676246452 * tau] + 6.9e-10 * cos[2.48571574894 + 10018.2468514476 * tau] + 6.4e-10 * cos[1.8260823549 + 3077.528503327 * tau] + 6.4e-10 * cos[5.50528849889 + 4936.7988689844 * tau] + 6.6e-10 * cos[3.39914635235 + 10184.3039162316 * tau] + 8.1e-10 * cos[0.61914094848 + 949.1756089698 * tau] + 6.7e-10 * cos[4.89249339125 + 12082.6551341712 * tau] + 6.6e-10 * cos[1.01449371817 + 4193.8088084518 * tau] + 6.8e-10 * cos[1.78981361818 + 224.3447957019 * tau] + 6.7e-10 * cos[4.07602260745 + 10448.4354709754 * tau] + 6.7e-10 * cos[3.1594684038 + 8799.988713778 * tau] + 7.3e-10 * cos[0.41181711796 + 33406.124266998 * tau] + 6.7e-10 * cos[1.77194706681 + 18451.07854656599 * tau] + 6.9e-10 * cos[3.66727984195 + 13363.4300278674 * tau] + 8.1e-10 * cos[2.37498404818 + 16703.0448798468 * tau] + 7.8e-10 * cos[1.42772075938 + 16063.164847185 * tau] + 6.8e-10 * cos[0.34828385806 + 20047.1976785478 * tau] + 7.0e-10 * cos[0.33648335823 + 23141.5583829246 * tau] + 9.7e-10 * cos[5.1510931855 + 1.4844727083 * tau] + 7.6e-10 * cos[0.30413402871 + 72.0557333548 * tau] + 7.2e-10 * cos[2.01742377451 + 1329.51209026 * tau] + 7.5e-10 * cos[3.77172360793 + 4845.9002357928 * tau] + 7.8e-10 * cos[0.04212599783 + 16703.1294438018 * tau] + 7.1e-10 * cos[0.08395696279 + 15849.865751747 * tau] + 9.8e-10 * cos[2.47740242208 + 5401.4302807716 * tau] + 7.2e-10 * cos[5.15373872266 + 9872.2740829648 * tau] + 7.3e-10 * cos[4.5913018263 + 362.1211367308 * tau] + 7.3e-10 * cos[3.76950560688 + 8859.3625756916 * tau] + 8.2e-10 * cos[1.47379060963 + 16.83220104979 * tau] + 8.0e-10 * cos[0.42260849968 + 956.2891559706 * tau] + 7.4e-10 * cos[5.59171946181 + 8535.8571590342 * tau] + 7.8e-10 * cos[3.22869264518 + 11925.2740926006 * tau] + 9.2e-10 * cos[4.87180501294 + 9389.0535407862 * tau] + 8.2e-10 * cos[0.8058839632 + 20735.83216142559 * tau] + 8.5e-10 * cos[1.07007237991 + 10706.8813343254 * tau] + 8.2e-10 * cos[2.65765057749 + 12979.553174576 * tau] + 8.8e-10 * cos[0.56201084357 + 17101.2111369072 * tau] + 1.01e-9 * cos[1.03298143418 + 20040.15144184979 * tau] + 9.8e-10 * cos[0.35294347682 + 23546.7536230308 * tau] + 8.7e-10 * cos[0.98702744399 + 10156.9023601348 * tau] + 7.8e-10 * cos[1.75580354602 + 2060.8178540718 * tau] + 8.5e-10 * cos[2.36814442737 + 1062.9050485382 * tau] + 9.7e-10 * cos[5.3551176514 + 4996.172730898 * tau] + 8.5e-10 * cos[3.61669636863 + 8965.9784682592 * tau] + 8.6e-10 * cos[5.18335054161 + 12410.7313005486 * tau] + 8.2e-10 * cos[0.44163602941 + 4782.87363546 * tau] + 8.2e-10 * cos[1.59442952041 + 9947.0556815321 * tau] + 8.4e-10 * cos[0.90320571725 + 2171.0241752912 * tau] + 8.3e-10 * cos[1.41315204958 + 22854.596021804 * tau] + 8.2e-10 * cos[4.316905577 + 9374.8264467846 * tau] + 8.3e-10 * cos[5.90575201511 + 16858.41522263039 * tau] + 1.12e-9 * cos[2.31690430881 + 9638.9407478762 * tau] + 8.4e-10 * cos[0.78729386249 + 146.8116865236 * tau] + 9.0e-10 * cos[1.07789160729 + 10721.108428327 * tau] + 8.6e-10 * cos[5.87459621301 + 73.6009559152 * tau] + 8.4e-10 * cos[2.80171829534 + 8584.6616659008 * tau] + 1.17e-9 * cos[5.61863859185 + 16511.6138673874 * tau] + 8.7e-10 * cos[4.0782360868 + 18606.4989460002 * tau] + 8.6e-10 * cos[3.66786582491 + 6997.6167230562 * tau] + 9.0e-10 * cos[0.26623024836 + 9485.032768004 * tau] + 1.14e-9 * cos[3.37335971932 + 2938.9403049426 * tau] + 1.12e-9 * cos[5.27572276726 + 17499.3601403154 * tau] + 8.6e-10 * cos[2.70925448214 + 7218.029365495 * tau] + 9.5e-10 * cos[0.34653808205 + 13517.8027959306 * tau] + 1.05e-9 * cos[3.7332797385 + 4989.0591838972 * tau] + 1.16e-9 * cos[4.67476277278 + 272.6729573516 * tau] + 1.04e-9 * cos[1.36766858693 + 4032.7700279266 * tau] + 8.9e-10 * cos[4.49875865671 + 21947.1113727 * tau] + 1.18e-9 * cos[0.29322259611 + 2945.9865416406 * tau] + 1.14e-9 * cos[1.92696878615 + 8226.5788363784 * tau] + 9.1e-10 * cos[1.7718473028 + 2221.856634597 * tau] + 1.13e-9 * cos[2.41110151532 + 5244.049239201 * tau] + 1.03e-9 * cos[0.11158194413 + 11.0457002639 * tau] + 1.13e-9 * cos[4.57220387105 + 14712.317116458 * tau] + 1.25e-9 * cos[1.54866979468 + 1435.1476617594 * tau] + 9.0e-10 * cos[0.85462370851 + 17232.7530985936 * tau] + 1.24e-9 * cos[3.15220420912 + 22345.2603761082 * tau] + 9.9e-10 * cos[2.93269536697 + 2067.9314010726 * tau] + 9.1e-10 * cos[2.36839307589 + 11140.5930722022 * tau] + 1.18e-9 * cos[5.0084532296 + 1581.959348283 * tau] + 1.11e-9 * cos[3.31406538379 + 11610.9101753832 * tau] + 1.23e-9 * cos[5.83481108101 + 7747.7203305896 * tau] + 9.2e-10 * cos[5.0227963751 + 2494.5295919486 * tau] + 9.7e-10 * cos[3.56551535742 + 14421.8316369884 * tau] + 9.3e-10 * cos[1.08979608844 + 14577.1847261198 * tau] + 9.6e-10 * cos[0.79636181668 + 3024.2205570432 * tau] + 1.02e-9 * cos[0.94285421551 + 3209.0704650134 * tau] + 9.4e-10 * cos[3.42562596561 + 3510.1926098328 * tau] + 1.12e-9 * cos[3.12761163915 + 5989.0672521728 * tau] + 1.06e-9 * cos[2.89298330043 + 7799.9806455024 * tau] + 1.08e-9 * cos[4.92699760221 + 802.3639224462 * tau] + 1.04e-9 * cos[3.3028305233 + 3399.9862886134 * tau] + 1.34e-9 * cos[2.91637947295 + 57.8786960038 * tau] + 9.9e-10 * cos[0.10085261274 + 12839.8722887054 * tau] + 1.02e-9 * cos[6.13479937096 + 2277.7073781616 * tau] + 1.01e-9 * cos[3.15369992044 + 24150.080051345 * tau] + 1.11e-9 * cos[3.12463539337 + 309.2783226558 * tau] + 1.31e-9 * cos[1.31336606248 + 3313.210870603 * tau] + 9.8e-10 * cos[1.44874403589 + 3370.0419352358 * tau] + 1.33e-9 * cos[0.34413768012 + 16489.763038061 * tau] + 1.35e-9 * cos[4.2023756451 + 4672.6673142406 * tau] + 1.00e-9 * cos[5.72291104291 + 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cos[4.31447859057 + 3344.4937620578 * tau] + 4.86e-9 * cos[2.41879628327 + 3364.4908644476 * tau] + 6.70e-9 * cos[3.69368226469 + 3335.0895023924 * tau] + 5.34e-9 * cos[0.23224033336 + 51.28033786241 * tau] + 6.77e-9 * cos[3.87723948458 + 13517.8701062334 * tau] + 6.41e-9 * cos[5.19459033638 + 6048.4411140864 * tau] + 5.12e-9 * cos[3.21411265909 + 11081.2192102886 * tau] + 5.52e-9 * cos[5.08766140543 + 1903.4368125012 * tau] + 5.20e-9 * cos[0.20012848836 + 13760.5987102074 * tau] + 5.30e-9 * cos[5.64877399946 + 6034.2140200848 * tau] + 5.40e-9 * cos[2.86002662919 + 5459.3762870782 * tau] + 5.87e-9 * cos[4.56017988729 + 6680.2445323314 * tau] + 6.96e-9 * cos[2.89276686038 + 2648.454825473 * tau] + 5.55e-9 * cos[2.7080196219 + 4555.3474460204 * tau] + 5.63e-9 * cos[1.59138368358 + 2391.43681773 * tau] + 5.95e-9 * cos[0.10260171285 + 111.1866422876 * tau] + 6.85e-9 * cos[1.98132615912 + 1228.9621133222 * tau] + 6.58e-9 * cos[6.01853128902 + 26724.8994135984 * tau] + 7.08e-9 * cos[3.27560955336 + 18984.2926300096 * tau] + 8.38e-9 * cos[0.39195370222 + 10551.528245194 * tau] + 6.60e-9 * cos[2.83410276989 + 107.6635239386 * tau] + 6.73e-9 * cos[3.02440642752 + 1039.0266107904 * tau] + 8.73e-9 * cos[4.45446600602 + 3316.733988952 * tau] + 7.68e-9 * cos[1.39532897827 + 8273.8208670324 * tau] + 8.87e-9 * cos[6.04145842617 + 10021.7699697966 * tau] + 8.29e-9 * cos[2.01062325398 + 9866.4168806652 * tau] + 7.00e-9 * cos[4.0878823461 + 5202.3582793352 * tau] + 9.08e-9 * cos[0.69862047595 + 16173.3711684044 * tau] + 7.38e-9 * cos[1.03564559078 + 14314.1681130498 * tau] + 7.58e-9 * cos[2.06012386134 + 12935.8515159232 * tau] + 8.20e-9 * cos[4.80968546763 + 533.2140834436 * tau] + 7.91e-9 * cos[6.08595583868 + 2384.3232707292 * tau] + 8.16e-9 * cos[4.65198282005 + 2707.8286873866 * tau] + 9.23e-9 * cos[1.1039607445 + 29.429508536 * tau] + 9.30e-9 * cos[0.240730047 + 6923.9534573736 * tau] + 9.22e-9 * cos[3.91483430303 + 9225.539273283 * tau] + 8.91e-9 * cos[5.63297246408 + 10021.9045904022 * tau] + 8.99e-9 * cos[5.94990531529 + 12168.0026965746 * tau] + 9.19e-9 * cos[2.45445889752 + 13916.0191096416 * tau] + 9.80e-9 * cos[1.69212466625 + 43.718912305 * tau] + 9.98e-9 * cos[3.2966588195 + 3178.1457905676 * tau] + 8.92e-9 * cos[1.35161136807 + 1214.7350193206 * tau] + 9.08e-9 * cos[0.48223420834 + 13358.9265884502 * tau] + 9.55e-9 * cos[1.52875141393 + 3369.0616141676 * tau] + 9.14e-9 * cos[1.22398892152 + 103.0927742186 * tau] + 1.275e-8 * cos[5.14333847164 + 2693.601593385 * tau] + 1.145e-8 * cos[5.12292846748 + 4562.4609930212 * tau] + 1.306e-8 * cos[3.67645557029 + 2301.58581590939 * tau] + 1.154e-8 * cos[4.14326179244 + 6261.7402095244 * tau] + 1.041e-8 * cos[3.73274497451 + 10213.285546211 * tau] + 1.015e-8 * cos[0.2284781873 + 3230.4061054804 * tau] + 1.027e-8 * cos[4.79269049654 + 3914.9572250346 * tau] + 1.066e-8 * cos[2.89865914321 + 10404.7338123226 * tau] + 1.102e-8 * cos[1.96260837539 + 6298.3283211764 * tau] + 1.335e-8 * cos[2.1420445773 + 11243.6858464208 * tau] + 1.303e-8 * cos[0.44350560735 + 87.30820453981 * tau] + 1.093e-8 * cos[2.8262333236 + 4569.574540022 * tau] + 1.274e-8 * cos[4.5842123844 + 6247.5131155228 * tau] + 1.152e-8 * cos[5.29913300616 + 27.4015560968 * tau] + 1.129e-8 * cos[3.44264300692 + 10177.2576795336 * tau] + 1.154e-8 * cos[2.2305848597 + 8955.3418029094 * tau] + 1.132e-8 * cos[6.19236255633 + 6144.4203413042 * tau] + 1.183e-8 * cos[3.52587190041 + 6688.3384004004 * tau] + 1.143e-8 * cos[4.89747373731 + 220.4126424388 * tau] + 1.272e-8 * cos[1.50116723856 + 8439.8779318164 * tau] + 1.393e-8 * cos[1.05117949107 + 6438.4962494256 * tau] + 1.223e-8 * cos[0.82796258263 + 419.4846438752 * tau] + 1.433e-8 * cos[6.05024653324 + 12964.300703391 * tau] + 1.266e-8 * cos[5.91088435118 + 9808.5381846614 * tau] + 1.402e-8 * cos[4.50079374387 + 5729.506447149 * tau] + 1.736e-8 * cos[2.01921900546 + 10575.4066829418 * tau] + 1.408e-8 * cos[1.82072980335 + 3337.021998048 * tau] + 1.717e-8 * cos[5.62501515015 + 6158.6474353058 * tau] + 1.345e-8 * cos[1.18653158091 + 14584.2982731206 * tau] + 1.360e-8 * cos[3.07974035205 + 6127.6554505572 * tau] + 1.392e-8 * cos[5.48931017516 + 170.6728706192 * tau] + 1.365e-8 * cos[4.58006320751 + 10818.1352869158 * tau] + 1.401e-8 * cos[2.24482184868 + 3344.2028553516 * tau] + 1.991e-8 * cos[3.11613326265 + 3361.3878221922 * tau] + 2.023e-8 * cos[5.94808387002 + 13365.9728251482 * tau] + 1.460e-8 * cos[4.89733072879 + 9830.3890139878 * tau] + 1.536e-8 * cos[5.88431472627 + 20.7753954924 * tau] + 1.549e-8 * cos[1.54016426558 + 8425.6508378148 * tau] + 1.690e-8 * cos[2.43213510013 + 3120.199784261 * tau] + 1.589e-8 * cos[1.73273563259 + 3134.4268782626 * tau] + 1.564e-8 * cos[5.75428852012 + 3360.96774609859 * tau] + 1.723e-8 * cos[3.25900379342 + 7903.073419721 * tau] + 1.732e-8 * cos[1.81361103995 + 536.8045120954 * tau] + 1.646e-8 * cos[1.31923405548 + 3264.3463554242 * tau] + 1.685e-8 * cos[5.49701299817 + 266.6070417218 * tau] + 1.991e-8 * cos[5.37274107053 + 206.1855484372 * tau] + 1.915e-8 * cos[3.5590743174 + 3767.2106175758 * tau] + 2.099e-8 * cos[3.00410255642 + 6254.6266625236 * tau] + 2.136e-8 * cos[1.91364787635 + 8969.568896911 * tau] + 1.809e-8 * cos[4.97905218276 + 1648.4467571974 * tau] + 1.843e-8 * cos[3.07643314617 + 3325.3599555148 * tau] + 1.944e-8 * cos[5.89081872133 + 6894.5239488376 * tau] + 2.299e-8 * cos[1.15914205086 + 3320.257107301 * tau] + 2.370e-8 * cos[3.87889340214 + 3355.8648978848 * tau] + 1.903e-8 * cos[5.11165653855 + 1066.49547719 * tau] + 1.941e-8 * cos[5.47668312685 + 11371.7046897582 * tau] + 2.158e-8 * cos[2.17583545077 + 15113.9892382152 * tau] + 2.426e-8 * cos[5.91508357946 + 5331.3574437408 * tau] + 2.248e-8 * cos[4.12382007742 + 59.3738619136 * tau] + 2.210e-8 * cos[0.61263930586 + 10973.55568635 * tau] + 2.395e-8 * cos[2.96002707485 + 6682.2051744678 * tau] + 2.262e-8 * cos[2.8139431495 + 7875.6718636242 * tau] + 2.400e-8 * cos[0.96972421975 + 3319.8370312074 * tau] + 2.509e-8 * cos[0.30454165124 + 3475.6775067352 * tau] + 2.563e-8 * cos[3.77294986894 + 2921.1277828246 * tau] + 2.672e-8 * cos[1.67778079449 + 10021.8200264472 * tau] + 2.636e-8 * cos[3.11790581052 + 6836.6452528338 * tau] + 2.672e-8 * cos[3.70855172347 + 10021.8545337516 * tau] + 3.364e-8 * cos[1.52847138842 + 6674.1113063988 * tau] + 3.016e-8 * cos[1.86555882509 + 7.046236698 * tau] + 2.824e-8 * cos[0.98500544471 + 3191.0492295652 * tau] + 2.780e-8 * cos[0.43157089331 + 5828.0284716476 * tau] + 3.187e-8 * cos[2.8664675151 + 7740.6067835888 * tau] + 3.325e-8 * cos[2.58945297384 + 2118.7638603784 * tau] + 2.771e-8 * cos[1.75664216142 + 639.897286314 * tau] + 2.930e-8 * cos[1.27797225349 + 574.3447983348 * tau] + 3.208e-8 * cos[2.3251945308 + 5085.038411115 * tau] + 3.077e-8 * cos[2.56115174488 + 7064.1213856228 * tau] + 3.249e-8 * cos[6.13937134379 + 10419.9862835076 * tau] + 3.716e-8 * cos[2.91969220147 + 15643.6802033098 * tau] + 3.140e-8 * cos[1.75866226873 + 9595.2390892234 * tau] + 4.299e-8 * cos[4.43057446968 + 640.8776073822 * tau] + 3.351e-8 * cos[2.66194137496 + 4929.6853219836 * tau] + 3.514e-8 * cos[1.76463961051 + 1758.6530784168 * tau] + 3.844e-8 * cos[2.2644218316 + 2699.7348193176 * tau] + 5.144e-8 * cos[5.66878565669 + 23384.2869868986 * tau] + 4.450e-8 * cos[4.17005729081 + 2906.900688823 * tau] + 5.276e-8 * cos[2.22638595594 + 3127.3133312618 * tau] + 4.287e-8 * cos[2.87635993968 + 2810.9214616052 * tau] + 4.110e-8 * cos[1.59535768711 + 7234.794256242 * tau] + 5.462e-8 * cos[0.19274227117 + 7632.9432596502 * tau] + 4.075e-8 * cos[3.9558210833 + 3.881335358 * tau] + 5.381e-8 * cos[0.18359380473 + 2942.4634232916 * tau] + 4.443e-8 * cos[0.31208413867 + 10018.3141617504 * tau] + 4.964e-8 * cos[1.51006845561 + 1744.4259844152 * tau] + 5.496e-8 * cos[2.01006612503 + 522.5774180938 * tau] + 4.845e-8 * cos[5.70115105957 + 6681.1575430968 * tau] + 4.706e-8 * cos[0.02998416568 + 7210.9158184942 * tau] + 4.861e-8 * cos[5.6050529887 + 6467.9257579616 * tau] + 4.954e-8 * cos[2.44806818502 + 5099.2655051166 * tau] + 4.710e-8 * cos[0.23326120326 + 36.0278666774 * tau] + 5.223e-8 * cos[0.3744626412 + 12832.7587417046 * tau] + 6.360e-8 * cos[2.11896608283 + 5884.9268465832 * tau] + 4.866e-8 * cos[3.10475368803 + 5.5229243074 * tau] + 5.467e-8 * cos[6.12511022569 + 2487.4160449478 * tau] + 4.850e-8 * cos[5.29254832907 + 6681.2921637024 * tau] + 5.154e-8 * cos[1.14703246368 + 28.4491874678 * tau] + 6.108e-8 * cos[1.66240879939 + 6525.8044539654 * tau] + 5.438e-8 * cos[1.0512968958 + 4933.2084403326 * tau] + 6.186e-8 * cos[3.54165967734 + 692.1576012268 * tau] + 5.726e-8 * cos[3.68120120299 + 8429.2412664666 * tau] + 7.372e-8 * cos[6.17831593269 + 3583.3410306738 * tau] + 8.650e-8 * cos[4.33256981793 + 3339.6321056316 * tau] + 6.664e-8 * cos[5.07517838003 + 8031.0922630584 * tau] + 8.434e-8 * cos[3.16292250873 + 3347.7259737006 * tau] + 8.695e-8 * cos[4.43542512603 + 5092.1519581158 * tau] + 7.696e-8 * cos[5.71877332978 + 9623.6882766912 * tau] + 8.344e-8 * cos[2.18273563186 + 23.8784377478 * tau] + 8.034e-8 * cos[5.69983564288 + 6041.3275670856 * tau] + 8.840e-8 * cos[4.23294294197 + 7477.522860216 * tau] + 8.133e-8 * cos[1.61295625304 + 2957.7158944766 * tau] + 1.0958e-7 * cos[4.15771850822 + 2388.8940204492 * tau] + 8.562e-8 * cos[3.16141186861 + 162.4666361322 * tau] + 9.708e-8 * cos[4.52957217749 + 6489.776587288 * tau] + 8.490e-8 * cos[1.91378007528 + 11773.3768115154 * tau] + 1.1854e-7 * cos[5.4763068691 + 3553.9115221378 * tau] + 1.1764e-7 * cos[2.58551521265 + 8432.7643848156 * tau] + 1.1132e-7 * cos[5.84178807242 + 2803.8079146044 * tau] + 1.0472e-7 * cos[2.73581537999 + 2787.0430238574 * tau] + 1.1850e-7 * cos[3.12701832949 + 426.598190876 * tau] + 1.0867e-7 * cos[5.28184140482 + 2818.035008606 * tau] + 1.3275e-7 * cos[3.42243595774 + 5621.8429232104 * tau] + 1.1353e-7 * cos[6.23438193885 + 135.0650800354 * tau] + 1.4705e-7 * cos[1.33902715586 + 6681.2075997474 * tau] + 1.3013e-7 * cos[1.51424752315 + 5628.9564702112 * tau] + 1.3644e-7 * cos[1.97739547259 + 5614.7293762096 * tau] + 1.2682e-7 * cos[2.95022113262 + 3496.032826134 * tau] + 1.2950e-7 * cos[5.61929676688 + 10025.3603984484 * tau] + 1.3535e-7 * cos[2.1233441041 + 5486.777843175 * tau] + 1.4705e-7 * cos[3.36979890389 + 6681.2421070518 * tau] + 1.5307e-7 * cos[2.26515985343 + 3723.508958923 * tau] + 1.9964e-7 * cos[5.78652958398 + 7079.3738568078 * tau] + 1.5381e-7 * cos[2.4700947035 + 4535.0594369244 * tau] + 2.0029e-7 * cos[4.73119428749 + 4690.4798363586 * tau] + 1.5000e-7 * cos[1.03464802434 + 2288.3440435114 * tau] + 1.9455e-7 * cos[2.53112676345 + 4399.994356889 * tau] + 1.6599e-7 * cos[1.25519718278 + 3894.1818295422 * tau] + 1.6472e-7 * cos[2.60291845066 + 3341.592747768 * tau] + 1.7811e-7 * cos[6.12537931996 + 4292.3308329504 * tau] + 1.8505e-7 * cos[5.57863503922 + 1990.745017041 * tau] + 2.1425e-7 * cos[4.97081508139 + 3340.6797370026 * tau] + 2.1104e-7 * cos[3.52525428062 + 15.252471185 * tau] + 1.9468e-7 * cos[0.49216434489 + 6677.7017350506 * tau] + 1.9675e-7 * cos[2.57805423988 + 12303.06777661 * tau] + 2.6554e-7 * cos[5.11271747607 + 2700.7151403858 * tau] + 2.0186e-7 * cos[3.36375535766 + 5088.6288397668 * tau] + 2.0431e-7 * cos[2.36353950189 + 1589.0728952838 * tau] + 2.2797e-7 * cos[1.54504711003 + 2274.1169495098 * tau] + 2.6579e-7 * cos[3.88960724782 + 1221.8485663214 * tau] + 2.3335e-7 * cos[6.16762213077 + 3532.0606928114 * tau] + 2.1418e-7 * cos[5.37934044204 + 3340.545116397 * tau] + 2.2612e-7 * cos[0.83775884934 + 3097.88382272579 * tau] + 2.2431e-7 * cos[5.46592525433 + 20.3553193988 * tau] + 2.2294e-7 * cos[5.88516997273 + 3870.3033917944 * tau] + 2.8244e-7 * cos[0.04534124888 + 9492.1463150048 * tau] + 3.2886e-7 * cos[5.41067411968 + 6283.0758499914 * tau] + 4.0272e-7 * cos[2.72542480614 + 7.1135470008 * tau] + 4.0055e-7 * cos[5.31611875491 + 20043.6745601988 * tau] + 4.1343e-7 * cos[0.71385375517 + 1592.5960136328 * tau] + 4.7613e-7 * cos[1.18238046057 + 3333.498879699 * tau] + 5.6520e-7 * cos[3.8881369932 + 4136.9104335162 * tau] + 4.6584e-7 * cos[1.31452419914 + 3185.1920272656 * tau] + 4.8477e-7 * cos[4.87362121538 + 213.299095438 * tau] + 6.1508e-7 * cos[4.151831598 + 3149.1641605882 * tau] + 6.5089e-7 * cos[3.04879603978 + 3340.629680352 * tau] + 6.5089e-7 * cos[1.01802439311 + 3340.5951730476 * tau] + 6.7582e-7 * cos[5.02327686473 + 382.8965322232 * tau] + 8.5342e-7 * cos[3.90854841008 + 553.5694028424 * tau] + 7.1487e-7 * cos[3.85636094435 + 2914.0142358238 * tau] + 7.2946e-7 * cos[2.50189460554 + 951.7184062506 * tau] + 7.2505e-7 * cos[5.8420816324 + 242.728603974 * tau] + 7.9531e-7 * cos[2.2486426633 + 8962.4553499102 * tau] + 8.0776e-7 * cos[4.42813405865 + 529.6909650946 * tau] + 0.00000113876 * cos[2.12869455089 + 1194.4470102246 * tau] + 8.3301e-7 * cos[5.29636626272 + 6684.7479717486 * tau] + 9.1098e-7 * cos[1.09627836591 + 1349.8674096588 * tau] + 0.00000133563 * cos[5.97421903927 + 1748.016413067 * tau] + 0.00000113595 * cos[5.42803224317 + 3738.761430108 * tau] + 0.00000117591 * cos[6.02407213861 + 6151.533888305 * tau] + 0.00000116561 * cos[2.21347652545 + 1059.3819301892 * tau] + 0.00000133686 * cos[2.23325104196 + 0.9803210682 * tau] + 0.00000157587 * cos[4.18501035954 + 1751.539531416 * tau] + 0.00000168805 * cos[1.32894813366 + 3337.0893083508 * tau] + 0.00000205664 * cos[4.5689145566 + 2146.1654164752 * tau] + 0.00000282804 * cos[3.15967518204 + 2544.3144198834 * tau] + 0.00000314129 * cos[4.96335266049 + 16703.062133499 * tau] + 0.00000381747 * cos[3.53881289437 + 796.2980068164 * tau] + 0.00000429656 * cos[5.31646162367 + 155.4203994342 * tau] + 0.00000432614 * cos[2.5606640286 + 191.4482661116 * tau] + 0.00000521041 * cos[4.99422678175 + 3344.1355450488 * tau] + 0.00000537566 * cos[5.01589727492 + 398.1490034082 * tau] + 0.00000841551 * cos[4.45858256765 + 2281.2304965106 * tau] + 0.0000248548 * cos[4.61277567318 + 13362.4497067992 * tau] + 0.00003452399 * cos[4.73210386365 + 3.523118349 * tau] + 0.00019963338 * cos[4.2659406103 + 10021.8372800994 * tau] + 0.00164901343 * cos[3.92631250962 + 6681.2248533996 * tau] + 0.01458227051 * cos[3.60426053609 + 3340.6124266998 * tau] + 3340.85627474342 * cos[0.0 + 0.0 * tau]; L2 = 2.0e-10 * cos[5.41519706836 + 3205.5473466644 * tau] + 1.7e-10 * cos[2.84467149903 + 3344.4937620578 * tau] + 1.7e-10 * cos[0.03684125273 + 3877.4169387952 * tau] + 2.2e-10 * cos[2.15631095909 + 3335.0895023924 * tau] + 2.1e-10 * cos[2.68436255141 + 6261.7402095244 * tau] + 2.6e-10 * cos[1.07254469525 + 8425.6508378148 * tau] + 1.9e-10 * cos[5.11656455993 + 12012.5822971404 * tau] + 2.0e-10 * cos[4.81193192299 + 15508.6151232744 * tau] + 2.2e-10 * cos[1.11553014451 + 6684.8152820514 * tau] + 2.3e-10 * cos[0.31107548102 + 8827.3902698748 * tau] + 2.6e-10 * cos[0.76018385758 + 3863.1898447936 * tau] + 3.2e-10 * cos[4.65556810177 + 6701.5801727984 * tau] + 2.9e-10 * cos[5.98057498931 + 6680.2445323314 * tau] + 2.8e-10 * cos[3.06196380356 + 6247.5131155228 * tau] + 2.5e-10 * cos[1.88631752737 + 4379.6390374902 * tau] + 2.8e-10 * cos[3.97032105354 + 4407.1079038898 * tau] + 2.6e-10 * cos[2.43119321236 + 6518.7582172674 * tau] + 2.5e-10 * cos[4.89000247975 + 30065.5118402982 * tau] + 2.9e-10 * cos[6.25276686131 + 17924.9106998204 * tau] + 3.0e-10 * cos[4.38908125588 + 12295.9542296092 * tau] + 2.8e-10 * cos[5.88548900893 + 19513.9835951042 * tau] + 3.1e-10 * cos[1.95254273311 + 6665.9723822146 * tau] + 3.5e-10 * cos[5.72426647579 + 16699.53901514999 * tau] + 4.3e-10 * cos[6.09391349922 + 6660.4494579072 * tau] + 3.3e-10 * cos[4.24484480826 + 8584.6616659008 * tau] + 3.5e-10 * cos[1.78692835372 + 2648.454825473 * tau] + 4.6e-10 * cos[2.92422266239 + 16703.07938715119 * tau] + 3.3e-10 * cos[2.14488758889 + 13363.4300278674 * tau] + 3.5e-10 * cos[1.96497348634 + 6702.000248892 * tau] + 3.4e-10 * cos[4.85454495742 + 14469.588512484 * tau] + 3.4e-10 * cos[2.37310468308 + 10213.285546211 * tau] + 4.7e-10 * cos[3.90896957151 + 5244.049239201 * tau] + 3.6e-10 * cos[3.93388136028 + 33716.9650658664 * tau] + 3.9e-10 * cos[0.27098916103 + 11614.4332937322 * tau] + 4.4e-10 * cos[0.85335841824 + 17468.8551979454 * tau] + 4.6e-10 * cos[0.89345529755 + 16703.0448798468 * tau] + 4.1e-10 * cos[0.04356010851 + 6660.8695340008 * tau] + 5.2e-10 * cos[0.81427285458 + 9638.9407478762 * tau] + 3.8e-10 * cos[3.47667842127 + 1066.49547719 * tau] + 3.8e-10 * cos[0.21571600948 + 9168.6408983474 * tau] + 3.9e-10 * cos[1.57984331116 + 24889.5747959916 * tau] + 4.1e-10 * cos[5.33088551342 + 765.7930644464 * tau] + 5.0e-10 * cos[1.48377570574 + 6040.3472460174 * tau] + 4.1e-10 * cos[2.3625360208 + 16062.1845261168 * tau] + 4.2e-10 * cos[3.79872109079 + 28628.3362260996 * tau] + 5.2e-10 * cos[4.59037852162 + 22345.2603761082 * tau] + 4.2e-10 * cos[0.82118836477 + 20597.2439630412 * tau] + 4.2e-10 * cos[3.54559408987 + 30376.3526391666 * tau] + 4.4e-10 * cos[3.20262780268 + 22743.4093795164 * tau] + 4.2e-10 * cos[4.45031185062 + 10404.7338123226 * tau] + 4.1e-10 * cos[2.76164156557 + 6696.4773245846 * tau] + 4.4e-10 * cos[0.89037464728 + 20752.6643624754 * tau] + 5.0e-10 * cos[1.34759191325 + 8439.8779318164 * tau] + 4.3e-10 * cos[2.13295656057 + 22324.9050567094 * tau] + 4.7e-10 * cos[4.44933635857 + 6872.6731195112 * tau] + 4.4e-10 * cos[4.38728556203 + 12168.0026965746 * tau] + 4.5e-10 * cos[2.91271003676 + 8982.810669309 * tau] + 5.0e-10 * cos[1.69803302925 + 9225.539273283 * tau] + 5.2e-10 * cos[4.92463460288 + 16304.9131300908 * tau] + 4.6e-10 * cos[2.3159032048 + 10028.9508271002 * tau] + 4.9e-10 * cos[1.9267860277 + 12721.572099417 * tau] + 5.7e-10 * cos[5.34893894346 + 17101.2111369072 * tau] + 6.7e-10 * cos[1.53758821512 + 9380.9596727172 * tau] + 4.9e-10 * cos[5.16723732129 + 20047.1976785478 * tau] + 5.1e-10 * cos[5.99253934388 + 21947.1113727 * tau] + 5.3e-10 * cos[5.88757767795 + 21265.5231265202 * tau] + 5.5e-10 * cos[0.51062350773 + 15110.4661198662 * tau] + 5.4e-10 * cos[3.95212835807 + 4032.7700279266 * tau] + 5.5e-10 * cos[2.62555306434 + 14314.1681130498 * tau] + 5.6e-10 * cos[2.49261586879 + 5642.1982426092 * tau] + 7.4e-10 * cos[3.8527624282 + 2766.267628365 * tau] + 5.5e-10 * cos[0.41979092764 + 9779.1086761254 * tau] + 5.5e-10 * cos[0.65206957868 + 7373.3824546264 * tau] + 5.5e-10 * cos[0.64581579779 + 6677.6344247478 * tau] + 6.0e-10 * cos[1.35069679183 + 19800.9459562248 * tau] + 7.4e-10 * cos[3.12276411101 + 1107.1388056848 * tau] + 6.5e-10 * cos[1.86765892646 + 11610.9101753832 * tau] + 5.9e-10 * cos[4.52818219212 + 9499.2598620056 * tau] + 6.6e-10 * cos[0.35824154106 + 7255.5696517344 * tau] + 6.4e-10 * cos[6.17220244155 + 9381.9399937854 * tau] + 6.0e-10 * cos[4.67079289372 + 10235.1363755374 * tau] + 5.9e-10 * cos[3.61679189501 + 7322.1024607818 * tau] + 7.7e-10 * cos[2.75740817982 + 19402.7969528166 * tau] + 6.6e-10 * cos[2.0916071729 + 14421.8316369884 * tau] + 6.5e-10 * cos[0.07623776004 + 5099.2655051166 * tau] + 7.6e-10 * cos[6.0400295943 + 5085.038411115 * tau] + 7.4e-10 * cos[1.34701853675 + 3361.3878221922 * tau] + 8.6e-10 * cos[4.50213985772 + 13362.517017102 * tau] + 7.2e-10 * cos[3.44697351738 + 14158.7477136156 * tau] + 8.6e-10 * cos[5.44050231013 + 6816.289933435 * tau] + 6.5e-10 * cos[1.38901912957 + 3253.30422216 * tau] + 6.6e-10 * cos[0.47312197978 + 3980.5097130138 * tau] + 7.3e-10 * cos[3.81554166604 + 3503.079062832 * tau] + 8.9e-10 * cos[5.44755326514 + 13517.8701062334 * tau] + 6.5e-10 * cos[2.89744951086 + 7903.073419721 * tau] + 6.5e-10 * cos[4.74504626032 + 6144.4203413042 * tau] + 7.8e-10 * cos[5.27206373031 + 853.196381752 * tau] + 8.4e-10 * cos[5.1161735664 + 13892.1406718938 * tau] + 6.8e-10 * cos[0.5439361719 + 12935.8515159232 * tau] + 7.4e-10 * cos[0.67876411085 + 16460.33352952499 * tau] + 6.9e-10 * cos[2.23597403243 + 7107.8230442756 * tau] + 7.0e-10 * cos[0.09801356525 + 1437.1756141986 * tau] + 7.0e-10 * cos[0.53977528244 + 13119.72110282519 * tau] + 7.0e-10 * cos[1.22001285505 + 2274.1169495098 * tau] + 6.9e-10 * cos[0.86312560839 + 13207.029307365 * tau] + 7.6e-10 * cos[4.77873149036 + 8671.9698704406 * tau] + 8.0e-10 * cos[4.81193020727 + 13149.1506113612 * tau] + 7.3e-10 * cos[5.28498987702 + 4845.9002357928 * tau] + 8.4e-10 * cos[1.93007660929 + 9468.267877257 * tau] + 7.1e-10 * cos[5.37905772348 + 10264.5658840734 * tau] + 7.6e-10 * cos[4.52961122356 + 708.98980227659 * tau] + 7.3e-10 * cos[4.91632010974 + 13362.3823964964 * tau] + 8.3e-10 * cos[0.11917380846 + 3337.021998048 * tau] + 7.8e-10 * cos[3.7237573039 + 13171.0014406876 * tau] + 8.9e-10 * cos[4.16432726564 + 6158.6474353058 * tau] + 8.4e-10 * cos[5.55309637085 + 3427.9206312396 * tau] + 9.7e-10 * cos[2.99973987655 + 3316.733988952 * tau] + 7.5e-10 * cos[3.34890581175 + 9070.1188738488 * tau] + 7.7e-10 * cos[1.53791408869 + 5459.3762870782 * tau] + 7.9e-10 * cos[3.08636079495 + 2818.035008606 * tau] + 8.5e-10 * cos[2.58442459869 + 13362.4669604514 * tau] + 8.4e-10 * cos[6.22980173043 + 3369.0616141676 * tau] + 8.3e-10 * cos[1.06830368571 + 3364.4908644476 * tau] + 8.3e-10 * cos[0.55328893146 + 3344.2028553516 * tau] + 9.1e-10 * cos[1.61117547913 + 24093.2767891752 * tau] + 8.5e-10 * cos[0.55423657166 + 13362.432453147 * tau] + 8.7e-10 * cos[5.8960268815 + 16858.4825329332 * tau] + 1.06e-9 * cos[1.78998252916 + 10022.8176011676 * tau] + 8.9e-10 * cos[4.83867235269 + 16706.585251848 * tau] + 8.8e-10 * cos[0.42472333366 + 11371.7046897582 * tau] + 9.0e-10 * cos[1.71281301325 + 1505.28780909299 * tau] + 1.08e-9 * cos[1.67115668669 + 11216.284290324 * tau] + 9.5e-10 * cos[5.5080831162 + 3319.8370312074 * tau] + 9.8e-10 * cos[2.5286981053 + 3191.0492295652 * tau] + 1.26e-9 * cos[1.55752034021 + 8270.2977486834 * tau] + 9.8e-10 * cos[5.91086068785 + 14584.2982731206 * tau] + 1.25e-9 * cos[4.94825577002 + 10551.528245194 * tau] + 1.04e-9 * cos[4.01151451052 + 13916.0191096416 * tau] + 1.00e-9 * cos[4.3794694526 + 9808.5381846614 * tau] + 1.03e-9 * cos[0.63812052706 + 12310.1813236108 * tau] + 1.06e-9 * cos[5.76342924005 + 2288.3440435114 * tau] + 1.35e-9 * cos[1.00085140609 + 18454.601664915 * tau] + 1.24e-9 * cos[1.79723243306 + 18984.2926300096 * tau] + 1.19e-9 * cos[4.09962692144 + 10021.9045904022 * tau] + 1.16e-9 * cos[4.22080571309 + 5884.9268465832 * tau] + 1.18e-9 * cos[5.42945437851 + 13358.9265884502 * tau] + 1.41e-9 * cos[4.5673581549 + 10021.7699697966 * tau] + 1.23e-9 * cos[4.99342648375 + 13760.5987102074 * tau] + 1.26e-9 * cos[5.02927593525 + 3475.6775067352 * tau] + 1.46e-9 * cos[2.22851709304 + 3178.1457905676 * tau] + 1.24e-9 * cos[1.74571336137 + 11081.2192102886 * tau] + 1.70e-9 * cos[5.98413937993 + 3320.257107301 * tau] + 1.58e-9 * cos[6.1425560834 + 8273.8208670324 * tau] + 1.43e-9 * cos[6.25825818399 + 9595.2390892234 * tau] + 1.35e-9 * cos[1.65570006128 + 3325.3599555148 * tau] + 1.61e-9 * cos[3.18977924032 + 6674.1113063988 * tau] + 1.44e-9 * cos[0.30186831602 + 1903.4368125012 * tau] + 1.64e-9 * cos[5.5387562097 + 16173.3711684044 * tau] + 1.69e-9 * cos[2.40504327781 + 3355.8648978848 * tau] + 1.54e-9 * cos[4.35708331036 + 3360.96774609859 * tau] + 1.63e-9 * cos[2.14874886056 + 10973.55568635 * tau] + 1.88e-9 * cos[4.55406803143 + 12964.300703391 * tau] + 1.88e-9 * cos[1.99007233842 + 3127.3133312618 * tau] + 1.98e-9 * cos[0.80464315638 + 15113.9892382152 * tau] + 1.65e-9 * cos[5.04267055142 + 10177.2576795336 * tau] + 1.62e-9 * cos[5.95176683701 + 310.8407988684 * tau] + 2.10e-9 * cos[3.55052707697 + 10575.4066829418 * tau] + 1.75e-9 * cos[3.26444055581 + 3981.490034082 * tau] + 2.09e-9 * cos[3.82345999055 + 6467.9257579616 * tau] + 2.31e-9 * cos[1.70340106651 + 2942.4634232916 * tau] + 2.54e-9 * cos[1.19313236635 + 8432.7643848156 * tau] + 2.46e-9 * cos[3.85272742042 + 4562.4609930212 * tau] + 2.18e-9 * cos[4.5320181825 + 26724.8994135984 * tau] + 2.09e-9 * cos[0.03043017984 + 3914.9572250346 * tau] + 2.40e-9 * cos[1.94655459341 + 6688.3384004004 * tau] + 2.50e-9 * cos[0.45422818547 + 6298.3283211764 * tau] + 2.41e-9 * cos[4.06396704332 + 7064.1213856228 * tau] + 2.63e-9 * cos[2.00552313665 + 3767.2106175758 * tau] + 2.37e-9 * cos[5.07818982743 + 8429.2412664666 * tau] + 2.59e-9 * cos[4.24406546278 + 6894.5239488376 * tau] + 2.70e-9 * cos[2.22972724035 + 5828.0284716476 * tau] + 2.52e-9 * cos[3.04356928941 + 10818.1352869158 * tau] + 2.71e-9 * cos[1.53144358045 + 1039.0266107904 * tau] + 2.81e-9 * cos[3.33891891806 + 9830.3890139878 * tau] + 2.83e-9 * cos[4.03219455446 + 8955.3418029094 * tau] + 3.40e-9 * cos[0.51409045792 + 9866.4168806652 * tau] + 3.30e-9 * cos[2.98027481579 + 5729.506447149 * tau] + 3.20e-9 * cos[1.3237447689 + 2118.7638603784 * tau] + 3.42e-9 * cos[2.49988747611 + 6438.4962494256 * tau] + 3.33e-9 * cos[0.18229887483 + 10021.8200264472 * tau] + 3.70e-9 * cos[5.02880065186 + 6923.9534573736 * tau] + 3.34e-9 * cos[2.21001303889 + 10021.8545337516 * tau] + 4.74e-9 * cos[5.1856252413 + 2301.58581590939 * tau] + 4.41e-9 * cos[4.49050100878 + 13365.9728251482 * tau] + 4.11e-9 * cos[4.21323421517 + 6681.1575430968 * tau] + 3.61e-9 * cos[0.13117924893 + 639.897286314 * tau] + 3.67e-9 * cos[0.97726583907 + 6041.3275670856 * tau] + 4.06e-9 * cos[0.60945437905 + 11773.3768115154 * tau] + 4.01e-9 * cos[4.59976459753 + 7210.9158184942 * tau] + 4.03e-9 * cos[1.5719023931 + 6127.6554505572 * tau] + 4.09e-9 * cos[3.80689273098 + 6681.2921637024 * tau] + 4.33e-9 * cos[1.25048504108 + 4929.6853219836 * tau] + 5.47e-9 * cos[4.42021065522 + 5331.3574437408 * tau] + 4.67e-9 * cos[1.40928870138 + 6682.2051744678 * tau] + 5.44e-9 * cos[1.444653692 + 15643.6802033098 * tau] + 4.96e-9 * cos[4.49656852602 + 692.1576012268 * tau] + 4.42e-9 * cos[5.34515135225 + 10018.3141617504 * tau] + 4.69e-9 * cos[1.31324778369 + 7875.6718636242 * tau] + 5.16e-9 * cos[1.37906978509 + 7740.6067835888 * tau] + 6.13e-9 * cos[1.72250879737 + 7632.9432596502 * tau] + 5.09e-9 * cos[0.32548381735 + 8031.0922630584 * tau] + 5.00e-9 * cos[4.66323134619 + 6836.6452528338 * tau] + 6.07e-9 * cos[3.84724721085 + 5486.777843175 * tau] + 5.27e-9 * cos[4.62218528897 + 10419.9862835076 * tau] + 6.60e-9 * cos[0.25125103909 + 8969.568896911 * tau] + 7.12e-9 * cos[5.79288230676 + 3339.6321056316 * tau] + 6.59e-9 * cos[5.16655918817 + 12832.7587417046 * tau] + 6.50e-9 * cos[2.78932995437 + 574.3447983348 * tau] + 6.57e-9 * cos[1.57895580467 + 2487.4160449478 * tau] + 8.00e-9 * cos[5.20674574801 + 87.30820453981 * tau] + 6.47e-9 * cos[3.10301033831 + 7234.794256242 * tau] + 9.08e-9 * cos[4.12911006922 + 162.4666361322 * tau] + 7.38e-9 * cos[4.25786145387 + 9623.6882766912 * tau] + 9.20e-9 * cos[1.91108056416 + 3532.0606928114 * tau] + 8.47e-9 * cos[3.41702696402 + 3340.6797370026 * tau] + 1.074e-8 * cos[3.8144692047 + 3553.9115221378 * tau] + 1.077e-8 * cos[5.0506282876 + 5621.8429232104 * tau] + 8.53e-9 * cos[3.82520490669 + 3340.545116397 * tau] + 9.16e-9 * cos[3.81726339298 + 5092.1519581158 * tau] + 1.135e-8 * cos[3.77506455273 + 3870.3033917944 * tau] + 1.362e-8 * cos[4.1779429752 + 23384.2869868986 * tau] + 1.156e-8 * cos[1.50825464304 + 426.598190876 * tau] + 1.038e-8 * cos[5.82880072933 + 4933.2084403326 * tau] + 1.408e-8 * cos[1.54395721611 + 3347.7259737006 * tau] + 1.234e-8 * cos[6.14168429036 + 6681.2075997474 * tau] + 1.513e-8 * cos[2.92614134711 + 640.8776073822 * tau] + 1.234e-8 * cos[1.88931735265 + 6681.2421070518 * tau] + 1.236e-8 * cos[3.7724596559 + 2699.7348193176 * tau] + 1.431e-8 * cos[2.97747408389 + 6489.776587288 * tau] + 1.392e-8 * cos[2.73498041122 + 7477.522860216 * tau] + 1.763e-8 * cos[2.51660121293 + 2810.9214616052 * tau] + 1.338e-8 * cos[5.29685392418 + 6677.7017350506 * tau] + 1.401e-8 * cos[3.85907867678 + 6283.0758499914 * tau] + 1.759e-8 * cos[3.81170701376 + 3723.508958923 * tau] + 1.504e-8 * cos[0.11031912519 + 2957.7158944766 * tau] + 1.629e-8 * cos[4.94267977718 + 1221.8485663214 * tau] + 2.126e-8 * cos[0.48290227706 + 2700.7151403858 * tau] + 1.633e-8 * cos[1.10703599922 + 12303.06777661 * tau] + 1.617e-8 * cos[4.95614491689 + 5088.6288397668 * tau] + 2.344e-8 * cos[0.01425578204 + 4690.4798363586 * tau] + 2.187e-8 * cos[0.16036551231 + 6525.8044539654 * tau] + 2.386e-8 * cos[4.2707257555 + 7079.3738568078 * tau] + 2.416e-8 * cos[1.04749173375 + 4399.994356889 * tau] + 1.830e-8 * cos[0.97181050149 + 1589.0728952838 * tau] + 2.602e-8 * cos[2.64911714813 + 2388.8940204492 * tau] + 2.630e-8 * cos[4.67640929857 + 3583.3410306738 * tau] + 2.344e-8 * cos[4.18104725028 + 10025.3603984484 * tau] + 2.594e-8 * cos[1.49510566123 + 3340.629680352 * tau] + 2.191e-8 * cos[3.26449527357 + 213.299095438 * tau] + 2.593e-8 * cos[5.74934234498 + 3340.5951730476 * tau] + 2.357e-8 * cos[4.84628239765 + 9492.1463150048 * tau] + 2.418e-8 * cos[0.96341462666 + 4535.0594369244 * tau] + 2.888e-8 * cos[3.41062353663 + 3337.0893083508 * tau] + 2.620e-8 * cos[1.04061894134 + 3341.592747768 * tau] + 2.784e-8 * cos[1.38911141844 + 4292.3308329504 * tau] + 2.921e-8 * cos[1.23050883841 + 2787.0430238574 * tau] + 2.921e-8 * cos[5.41458945995 + 2914.0142358238 * tau] + 3.091e-8 * cos[4.56861203364 + 3496.032826134 * tau] + 3.253e-8 * cos[2.7956534039 + 3894.1818295422 * tau] + 3.277e-8 * cos[0.68101740787 + 8962.4553499102 * tau] + 3.618e-8 * cos[2.46868561769 + 529.6909650946 * tau] + 3.653e-8 * cos[4.06679068397 + 1990.745017041 * tau] + 4.045e-8 * cos[6.12493402657 + 5628.9564702112 * tau] + 4.764e-8 * cos[2.89684755585 + 3333.498879699 * tau] + 4.166e-8 * cos[3.68631477611 + 5614.7293762096 * tau] + 4.647e-8 * cos[4.42957708526 + 6151.533888305 * tau] + 6.681e-8 * cos[2.37843690339 + 4136.9104335162 * tau] + 5.870e-8 * cos[1.14783576679 + 7.1135470008 * tau] + 6.859e-8 * cos[2.57522504136 + 3149.1641605882 * tau] + 6.311e-8 * cos[2.34104793674 + 3097.88382272579 * tau] + 6.497e-8 * cos[5.47773072872 + 1592.5960136328 * tau] + 7.501e-8 * cos[5.46498630412 + 1751.539531416 * tau] + 9.005e-8 * cos[3.88271826102 + 3738.761430108 * tau] + 9.229e-8 * cos[3.83209092321 + 20043.6745601988 * tau] + 9.468e-8 * cos[0.68170713564 + 1059.3819301892 * tau] + 1.0396e-7 * cos[0.25038714677 + 382.8965322232 * tau] + 1.3352e-7 * cos[0.60189008414 + 1194.4470102246 * tau] + 1.1260e-7 * cos[4.71822363671 + 2544.3144198834 * tau] + 1.5648e-7 * cos[1.2208612194 + 1748.016413067 * tau] + 1.1934e-7 * cos[3.86122163021 + 6684.7479717486 * tau] + 1.4416e-7 * cos[4.01923812101 + 951.7184062506 * tau] + 1.4317e-7 * cos[2.61851897591 + 1349.8674096588 * tau] + 1.6227e-7 * cos[0.65678953303 + 0.9803210682 * tau] + 1.4927e-7 * cos[6.09541783564 + 3185.1920272656 * tau] + 2.0370e-7 * cos[5.421913754 + 553.5694028424 * tau] + 1.6044e-7 * cos[6.11000472441 + 2146.1654164752 * tau] + 2.1659e-7 * cos[3.44532466378 + 398.1490034082 * tau] + 2.3168e-7 * cos[4.33403365928 + 242.728603974 * tau] + 2.9839e-7 * cos[1.99870679845 + 796.2980068164 * tau] + 3.1665e-7 * cos[4.14015171788 + 191.4482661116 * tau] + 3.4268e-7 * cos[6.00188499119 + 2281.2304965106 * tau] + 5.3638e-7 * cos[3.54191121461 + 3344.1355450488 * tau] + 6.1517e-7 * cos[3.48529427371 + 16703.062133499 * tau] + 0.00000120957 * cos[0.54325292454 + 155.4203994342 * tau] + 0.00000222022 * cos[3.19436080019 + 3.523118349 * tau] + 0.00000398379 * cos[3.14118428289 + 13362.4497067992 * tau] + 0.00002465104 * cos[2.80000020929 + 10021.8372800994 * tau] + 0.00013908426 * cos[2.45742359888 + 6681.2248533996 * tau] + 0.00054187645 * cos[0.0 + 0.0 * tau] + 0.00058015791 * cos[2.04979463279 + 3340.6124266998 * tau]; L3 = 1.4e-10 * cos[0.23027665815 + 3767.2106175758 * tau] + 1.2e-10 * cos[3.28248484262 + 8671.9698704406 * tau] + 1.3e-10 * cos[1.38424462832 + 3340.6797370026 * tau] + 1.1e-10 * cos[2.21363101654 + 6438.4962494256 * tau] + 1.7e-10 * cos[0.4183559895 + 9468.267877257 * tau] + 1.4e-10 * cos[2.50522181917 + 7064.1213856228 * tau] + 1.8e-10 * cos[5.06870872024 + 2544.3144198834 * tau] + 2.1e-10 * cos[3.62973082412 + 5884.9268465832 * tau] + 1.7e-10 * cos[5.16488977775 + 8031.0922630584 * tau] + 1.7e-10 * cos[5.19518401928 + 2914.0142358238 * tau] + 2.1e-10 * cos[0.67232850824 + 6836.6452528338 * tau] + 2.6e-10 * cos[1.81668969835 + 6283.0758499914 * tau] + 2.6e-10 * cos[0.08254324904 + 7632.9432596502 * tau] + 2.2e-10 * cos[1.20895727897 + 529.6909650946 * tau] + 2.3e-10 * cos[2.91040060956 + 10551.528245194 * tau] + 2.9e-10 * cos[4.3995350792 + 10018.3141617504 * tau] + 2.4e-10 * cos[1.80155161992 + 6674.1113063988 * tau] + 2.3e-10 * cos[0.53673547304 + 3333.498879699 * tau] + 2.4e-10 * cos[0.25455613132 + 11081.2192102886 * tau] + 2.7e-10 * cos[6.24398988438 + 5088.6288397668 * tau] + 2.4e-10 * cos[5.64558695441 + 13207.029307365 * tau] + 2.5e-10 * cos[0.39810308575 + 6688.3384004004 * tau] + 2.7e-10 * cos[0.26980783576 + 18984.2926300096 * tau] + 3.0e-10 * cos[1.14354290938 + 2146.1654164752 * tau] + 2.5e-10 * cos[2.59849002421 + 8955.3418029094 * tau] + 3.4e-10 * cos[5.04118058624 + 8969.568896911 * tau] + 2.8e-10 * cos[4.99536302577 + 10021.8200264472 * tau] + 2.8e-10 * cos[0.74281728305 + 10021.8545337516 * tau] + 3.8e-10 * cos[0.26295105909 + 10022.8176011676 * tau] + 3.4e-10 * cos[2.44806511268 + 7210.9158184942 * tau] + 4.3e-10 * cos[6.17835198533 + 15643.6802033098 * tau] + 3.7e-10 * cos[5.23784488646 + 6298.3283211764 * tau] + 4.2e-10 * cos[3.04642561189 + 12964.300703391 * tau] + 3.7e-10 * cos[6.07442797404 + 4929.6853219836 * tau] + 3.5e-10 * cos[2.58475025674 + 9623.6882766912 * tau] + 3.9e-10 * cos[2.65566008587 + 6894.5239488376 * tau] + 3.7e-10 * cos[3.37898394417 + 30065.5118402982 * tau] + 5.0e-10 * cos[4.7032478409 + 8273.8208670324 * tau] + 4.1e-10 * cos[1.79026132252 + 3340.545116397 * tau] + 4.1e-10 * cos[2.53336616026 + 6681.1575430968 * tau] + 3.8e-10 * cos[3.38619280993 + 16706.585251848 * tau] + 4.1e-10 * cos[2.05797417369 + 6681.2921637024 * tau] + 4.1e-10 * cos[1.59906754314 + 10818.1352869158 * tau] + 4.8e-10 * cos[1.81207342615 + 3723.508958923 * tau] + 4.4e-10 * cos[3.49332765553 + 13760.5987102074 * tau] + 4.4e-10 * cos[4.10828944542 + 4690.4798363586 * tau] + 4.3e-10 * cos[1.8099071834 + 9830.3890139878 * tau] + 6.1e-10 * cos[2.90942510134 + 5331.3574437408 * tau] + 4.9e-10 * cos[4.03623343126 + 16173.3711684044 * tau] + 5.8e-10 * cos[4.85371375265 + 5621.8429232104 * tau] + 4.5e-10 * cos[3.88055745121 + 10264.5658840734 * tau] + 5.9e-10 * cos[4.48255178273 + 6681.2075997474 * tau] + 5.3e-10 * cos[3.97996929188 + 5092.1519581158 * tau] + 5.9e-10 * cos[0.2298974604 + 6681.2421070518 * tau] + 6.1e-10 * cos[3.63390789623 + 12832.7587417046 * tau] + 5.3e-10 * cos[3.04776975379 + 26724.8994135984 * tau] + 5.9e-10 * cos[0.89874385953 + 3339.6321056316 * tau] + 5.6e-10 * cos[1.96253427165 + 3553.9115221378 * tau] + 6.0e-10 * cos[6.08710604997 + 7740.6067835888 * tau] + 5.7e-10 * cos[1.48905992502 + 5729.506447149 * tau] + 6.5e-10 * cos[6.17932665318 + 3340.629680352 * tau] + 6.3e-10 * cos[4.14716431158 + 3340.5951730476 * tau] + 5.8e-10 * cos[6.0984951679 + 7875.6718636242 * tau] + 5.8e-10 * cos[4.85723088492 + 5486.777843175 * tau] + 6.4e-10 * cos[1.73713448446 + 3870.3033917944 * tau] + 6.9e-10 * cos[4.82266605869 + 6677.7017350506 * tau] + 6.2e-10 * cos[1.45647168723 + 7234.794256242 * tau] + 6.3e-10 * cos[3.12770931753 + 10419.9862835076 * tau] + 7.6e-10 * cos[3.05724276091 + 13365.9728251482 * tau] + 1.02e-9 * cos[6.26937663026 + 3347.7259737006 * tau] + 7.7e-10 * cos[5.6318982417 + 1589.0728952838 * tau] + 8.1e-10 * cos[4.3272333062 + 4933.2084403326 * tau] + 9.1e-10 * cos[6.16223680965 + 6682.2051744678 * tau] + 8.4e-10 * cos[5.68544044325 + 4292.3308329504 * tau] + 9.3e-10 * cos[5.29818155587 + 9866.4168806652 * tau] + 8.9e-10 * cos[0.0595132422 + 6127.6554505572 * tau] + 9.7e-10 * cos[5.23712981002 + 8962.4553499102 * tau] + 1.03e-9 * cos[3.53587741373 + 6923.9534573736 * tau] + 1.11e-9 * cos[2.69566947038 + 6151.533888305 * tau] + 1.16e-9 * cos[5.7163981953 + 12303.06777661 * tau] + 1.21e-9 * cos[3.24333934982 + 9492.1463150048 * tau] + 1.46e-9 * cos[1.37569151302 + 6489.776587288 * tau] + 1.73e-9 * cos[2.70622920014 + 7079.3738568078 * tau] + 1.43e-9 * cos[1.15592612974 + 7477.522860216 * tau] + 1.85e-9 * cos[5.8089931655 + 4399.994356889 * tau] + 1.91e-9 * cos[4.58805692093 + 3337.0893083508 * tau] + 1.77e-9 * cos[0.85374318134 + 3894.1818295422 * tau] + 1.76e-9 * cos[3.86618588087 + 1592.5960136328 * tau] + 1.86e-9 * cos[4.86408411823 + 2957.7158944766 * tau] + 2.69e-9 * cos[1.10390153866 + 2388.8940204492 * tau] + 2.60e-9 * cos[2.67996877129 + 23384.2869868986 * tau] + 2.15e-9 * cos[2.49494803822 + 1990.745017041 * tau] + 2.37e-9 * cos[5.68519881994 + 4535.0594369244 * tau] + 2.87e-9 * cos[2.69304799864 + 10025.3603984484 * tau] + 2.81e-9 * cos[5.74581724084 + 3341.592747768 * tau] + 3.13e-9 * cos[3.70599897858 + 3097.88382272579 * tau] + 3.33e-9 * cos[5.42704539231 + 1059.3819301892 * tau] + 4.72e-9 * cos[0.84411483892 + 4136.9104335162 * tau] + 3.99e-9 * cos[2.32888685659 + 3738.761430108 * tau] + 4.05e-9 * cos[1.27295444059 + 2281.2304965106 * tau] + 5.19e-9 * cos[4.93376176788 + 6525.8044539654 * tau] + 5.08e-9 * cos[1.01139298015 + 3149.1641605882 * tau] + 4.52e-9 * cos[5.98109989317 + 2787.0430238574 * tau] + 6.47e-9 * cos[3.17645475605 + 3583.3410306738 * tau] + 5.67e-9 * cos[5.85922384979 + 7.1135470008 * tau] + 5.58e-9 * cos[1.8521234236 + 398.1490034082 * tau] + 6.40e-9 * cos[6.10665147849 + 3496.032826134 * tau] + 8.07e-9 * cos[2.74798886181 + 1748.016413067 * tau] + 8.94e-9 * cos[5.33688328934 + 1194.4470102246 * tau] + 1.037e-8 * cos[1.76892750558 + 382.8965322232 * tau] + 1.133e-8 * cos[2.38180830662 + 6684.7479717486 * tau] + 1.169e-8 * cos[4.14601161433 + 1349.8674096588 * tau] + 1.302e-8 * cos[5.36284013048 + 0.9803210682 * tau] + 1.442e-8 * cos[2.34368495577 + 20043.6745601988 * tau] + 1.448e-8 * cos[0.45869142895 + 796.2980068164 * tau] + 1.511e-8 * cos[5.71795850828 + 191.4482661116 * tau] + 1.684e-8 * cos[5.53835848782 + 951.7184062506 * tau] + 3.134e-8 * cos[0.65044714325 + 553.5694028424 * tau] + 3.176e-8 * cos[4.59144897927 + 3185.1920272656 * tau] + 3.782e-8 * cos[2.01914272515 + 3344.1355450488 * tau] + 4.900e-8 * cos[2.82452457966 + 242.728603974 * tau] + 1.0454e-7 * cos[1.58006906385 + 3.523118349 * tau] + 8.024e-8 * cos[1.99858757687 + 16703.062133499 * tau] + 2.5994e-7 * cos[0.0 + 0.0 * tau] + 2.2661e-7 * cos[2.05267665262 + 155.4203994342 * tau] + 4.1474e-7 * cos[1.64850786997 + 13362.4497067992 * tau] + 0.00000188268 * cos[1.28799982497 + 10021.8372800994 * tau] + 0.00000662095 * cos[0.88469178686 + 6681.2248533996 * tau] + 0.00001482423 * cos[0.44434694876 + 3340.6124266998 * tau]; L4 = 7e-11 * cos[4.23894194106 + 4535.0594369244 * tau] + 9e-11 * cos[6.15390464542 + 6489.776587288 * tau] + 1.1e-10 * cos[1.33261955275 + 2281.2304965106 * tau] + 1.5e-10 * cos[1.56315497374 + 13365.9728251482 * tau] + 2.1e-10 * cos[4.27532111122 + 6836.6452528338 * tau] + 2.0e-10 * cos[3.79275573433 + 9866.4168806652 * tau] + 1.9e-10 * cos[2.03228980685 + 6923.9534573736 * tau] + 2.2e-10 * cos[5.98429191667 + 7477.522860216 * tau] + 2.3e-10 * cos[4.16371253947 + 3341.592747768 * tau] + 2.9e-10 * cos[2.40178626971 + 3894.1818295422 * tau] + 2.5e-10 * cos[1.56348878811 + 26724.8994135984 * tau] + 3.2e-10 * cos[1.22337093927 + 10025.3603984484 * tau] + 2.7e-10 * cos[0.42811091036 + 3738.761430108 * tau] + 2.8e-10 * cos[4.85378781404 + 6127.6554505572 * tau] + 3.9e-10 * cos[5.40966345885 + 4136.9104335162 * tau] + 3.6e-10 * cos[5.53975653407 + 3149.1641605882 * tau] + 4.1e-10 * cos[1.21875027733 + 23384.2869868986 * tau] + 4.5e-10 * cos[5.17216217058 + 3097.88382272579 * tau] + 6.4e-10 * cos[4.47443580658 + 2787.0430238574 * tau] + 9.2e-10 * cos[3.40530361815 + 6525.8044539654 * tau] + 1.15e-9 * cos[1.66898531261 + 3583.3410306738 * tau] + 8.6e-10 * cos[0.79259553758 + 6684.7479717486 * tau] + 1.68e-9 * cos[3.73509781785 + 3496.032826134 * tau] + 1.81e-9 * cos[0.81531283571 + 20043.6745601988 * tau] + 1.97e-9 * cos[0.44350153983 + 3344.1355450488 * tau] + 3.31e-9 * cos[6.23159792887 + 3.523118349 * tau] + 3.74e-9 * cos[2.15785846355 + 553.5694028424 * tau] + 4.94e-9 * cos[3.06356214498 + 3185.1920272656 * tau] + 7.76e-9 * cos[1.31734531594 + 242.728603974 * tau] + 7.87e-9 * cos[0.49340783377 + 16703.062133499 * tau] + 3.252e-8 * cos[0.13228350651 + 13362.4497067992 * tau] + 3.190e-8 * cos[3.56267988299 + 155.4203994342 * tau] + 1.1187e-7 * cos[6.03161074431 + 10021.8372800994 * tau] + 2.4447e-7 * cos[5.13868481454 + 3340.6124266998 * tau] + 2.8725e-7 * cos[5.63662412043 + 6681.2248533996 * tau] + 0.00000113969 * cos[3.14159265359 + 0.0 * tau]; L5 = 1.2e-10 * cos[1.93859256739 + 6525.8044539654 * tau] + 1.4e-10 * cos[5.95565787085 + 23384.2869868986 * tau] + 1.9e-10 * cos[5.5918471446 + 20043.6745601988 * tau] + 2.4e-10 * cos[0.17861991485 + 3583.3410306738 * tau] + 2.5e-10 * cos[5.22079788019 + 3496.032826134 * tau] + 3.5e-10 * cos[3.68246171643 + 553.5694028424 * tau] + 6.4e-10 * cos[1.55783055571 + 3185.1920272656 * tau] + 6.9e-10 * cos[5.19017483537 + 16703.062133499 * tau] + 1.00e-9 * cos[6.09089356066 + 242.728603974 * tau] + 1.99e-9 * cos[4.85313666795 + 13362.4497067992 * tau] + 2.23e-9 * cos[3.51351884241 + 3340.6124266998 * tau] + 3.57e-9 * cos[5.07435505061 + 155.4203994342 * tau] + 5.10e-9 * cos[4.49214901625 + 10021.8372800994 * tau] + 8.68e-9 * cos[3.14159265359 + 0.0 * tau] + 7.10e-9 * cos[4.04089996521 + 6681.2248533996 * tau]; B0 = 3.6e-10 * cos[0.84102576439 + 23937.856389741 * tau] + 4.3e-10 * cos[0.51983815091 + 16489.763038061 * tau] + 3.8e-10 * cos[6.06684699984 + 9389.0535407862 * tau] + 4.9e-10 * cos[0.77060706107 + 17101.2111369072 * tau] + 5.1e-10 * cos[3.25271478667 + 7799.9806455024 * tau] + 3.9e-10 * cos[5.15577369902 + 6670.5881880498 * tau] + 3.8e-10 * cos[2.53074981011 + 13207.029307365 * tau] + 4.1e-10 * cos[0.21219617682 + 7314.0085927128 * tau] + 5.1e-10 * cos[3.54335413699 + 20597.2439630412 * tau] + 4.1e-10 * cos[0.98427208931 + 20426.571092422 * tau] + 4.2e-10 * cos[5.71964550673 + 7203.8022714934 * tau] + 4.2e-10 * cos[4.30347553493 + 9065.5481241288 * tau] + 4.8e-10 * cos[0.52828042378 + 6686.747777707 * tau] + 4.9e-10 * cos[1.8336854455 + 17654.7805397496 * tau] + 5.3e-10 * cos[0.77878945764 + 16865.5287696312 * tau] + 4.4e-10 * cos[2.6304062214 + 13936.794505134 * tau] + 4.4e-10 * cos[6.09481217162 + 6460.8122109608 * tau] + 4.7e-10 * cos[1.69256878711 + 6660.8695340008 * tau] + 6.0e-10 * cos[2.55506470511 + 11780.4903585162 * tau] + 4.6e-10 * cos[3.70927352724 + 8859.3625756916 * tau] + 4.7e-10 * cos[4.03794177027 + 23958.6317852334 * tau] + 5.0e-10 * cos[1.92342238827 + 11614.4332937322 * tau] + 4.7e-10 * cos[1.44559165677 + 6643.0918177618 * tau] + 5.6e-10 * cos[3.31988072467 + 6518.7582172674 * tau] + 6.4e-10 * cos[2.53229538141 + 16703.0448798468 * tau] + 5.9e-10 * cos[3.08413561767 + 10025.4277087512 * tau] + 6.0e-10 * cos[3.61007443614 + 9468.267877257 * tau] + 6.4e-10 * cos[4.5633226877 + 16703.07938715119 * tau] + 5.1e-10 * cos[1.15475560534 + 10156.9023601348 * tau] + 4.9e-10 * cos[4.53401402385 + 6675.7019290922 * tau] + 5.1e-10 * cos[0.06312524105 + 20206.141196331 * tau] + 5.3e-10 * cos[0.31937174553 + 12721.572099417 * tau] + 5.1e-10 * cos[5.73824213507 + 6048.4411140864 * tau] + 6.8e-10 * cos[5.36539876845 + 1228.9621133222 * tau] + 6.0e-10 * cos[2.64683840328 + 10018.2468514476 * tau] + 5.3e-10 * cos[2.16328741039 + 6418.1409300268 * tau] + 5.5e-10 * cos[1.41700952855 + 15906.7641266826 * tau] + 5.7e-10 * cos[4.12235760406 + 10028.9508271002 * tau] + 5.5e-10 * cos[5.20976473824 + 3237.5196524812 * tau] + 5.7e-10 * cos[6.10407356832 + 19800.9459562248 * tau] + 5.7e-10 * cos[2.82240075154 + 10124.930054318 * tau] + 5.5e-10 * cos[1.95164531764 + 9588.1255422226 * tau] + 6.7e-10 * cos[1.92945007459 + 21265.5231265202 * tau] + 6.5e-10 * cos[3.37109873211 + 11610.9101753832 * tau] + 5.7e-10 * cos[4.89927831599 + 9602.3526362242 * tau] + 5.6e-10 * cos[3.13789031275 + 8799.988713778 * tau] + 6.1e-10 * cos[3.659450739 + 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* tau] + 5.36e-9 * cos[0.18973312148 + 3346.1353510072 * tau] + 5.51e-9 * cos[3.27081871281 + 6127.6554505572 * tau] + 5.50e-9 * cos[3.11161314141 + 6144.4203413042 * tau] + 6.17e-9 * cos[4.22635718375 + 13362.4669604514 * tau] + 6.49e-9 * cos[2.17894376907 + 6298.3283211764 * tau] + 6.26e-9 * cos[4.60715188203 + 2487.4160449478 * tau] + 5.84e-9 * cos[4.51625727923 + 1648.4467571974 * tau] + 5.72e-9 * cos[4.27984088783 + 6546.1597733642 * tau] + 5.79e-9 * cos[2.31217959727 + 6677.6344247478 * tau] + 5.79e-9 * cos[3.32303439858 + 11081.2192102886 * tau] + 6.17e-9 * cos[2.19529512598 + 13362.432453147 * tau] + 5.93e-9 * cos[2.97207045977 + 3178.1457905676 * tau] + 6.05e-9 * cos[4.68480399923 + 5729.506447149 * tau] + 6.65e-9 * cos[6.05561837558 + 7632.9432596502 * tau] + 8.94e-9 * cos[0.34991139502 + 10551.528245194 * tau] + 9.34e-9 * cos[0.35014113954 + 3264.3463554242 * tau] + 7.62e-9 * cos[3.42576079312 + 18984.2926300096 * tau] + 7.39e-9 * cos[4.97716008834 + 10014.7237330986 * tau] + 9.01e-9 * cos[1.46788821922 + 6660.4494579072 * tau] + 8.46e-9 * cos[4.65096242323 + 6438.4962494256 * tau] + 9.78e-9 * cos[4.55697167317 + 3097.88382272579 * tau] + 9.46e-9 * cos[1.92368414869 + 5628.9564702112 * tau] + 9.33e-9 * cos[0.82551054416 + 3503.079062832 * tau] + 1.046e-8 * cos[6.11317298058 + 5331.3574437408 * tau] + 8.07e-9 * cos[2.2644325982 + 8969.568896911 * tau] + 1.044e-8 * cos[2.6588954211 + 3312.163239232 * tau] + 9.04e-9 * cos[4.11832249537 + 3355.8648978848 * tau] + 8.42e-9 * cos[0.57536275896 + 3191.0492295652 * tau] + 8.42e-9 * cos[5.61713543212 + 8955.3418029094 * tau] + 8.72e-9 * cos[3.61205859852 + 6702.000248892 * tau] + 9.49e-9 * cos[0.04595688771 + 7064.1213856228 * tau] + 8.83e-9 * cos[5.4653793674 + 5614.7293762096 * tau] + 9.04e-9 * cos[0.27361540197 + 3325.3599555148 * tau] + 8.92e-9 * cos[2.51347636401 + 3603.6963500726 * tau] + 8.99e-9 * cos[1.87265511538 + 3077.528503327 * tau] + 1.042e-8 * cos[1.73541825729 + 3369.0616141676 * tau] + 1.153e-8 * cos[4.73786864168 + 8031.0922630584 * tau] + 1.035e-8 * cos[2.44286811558 + 1052.2683831884 * tau] + 9.57e-9 * cos[5.29505019432 + 1066.49547719 * tau] + 1.083e-8 * cos[0.87622049125 + 16173.3711684044 * tau] + 1.016e-8 * cos[1.33950348904 + 12566.1516999828 * tau] + 1.080e-8 * cos[4.75502761725 + 10818.1352869158 * tau] + 1.227e-8 * cos[2.20421067322 + 12935.8515159232 * tau] + 1.377e-8 * cos[6.21830533138 + 10021.7699697966 * tau] + 1.357e-8 * cos[0.32856318286 + 4032.7700279266 * tau] + 1.377e-8 * cos[5.8098082145 + 10021.9045904022 * tau] + 1.291e-8 * cos[2.98932404463 + 6836.6452528338 * tau] + 1.296e-8 * cos[2.92899986522 + 9381.9399937854 * tau] + 1.507e-8 * cos[5.80795976424 + 1748.016413067 * tau] + 1.269e-8 * cos[2.02253791623 + 155.4203994342 * tau] + 1.637e-8 * cos[3.20410489018 + 6682.2051744678 * tau] + 1.746e-8 * cos[0.10485504333 + 3583.3410306738 * tau] + 1.616e-8 * cos[2.1944777548 + 8827.3902698748 * tau] + 1.665e-8 * cos[3.60183854165 + 2288.3440435114 * tau] + 1.409e-8 * cos[5.17099876287 + 9830.3890139878 * tau] + 1.527e-8 * cos[5.79343536555 + 6894.5239488376 * tau] + 1.459e-8 * cos[1.40571286543 + 14584.2982731206 * tau] + 1.567e-8 * cos[1.76860259924 + 382.8965322232 * tau] + 1.492e-8 * cos[2.9936092905 + 7875.6718636242 * tau] + 1.910e-8 * cos[6.04319894051 + 13365.9728251482 * tau] + 1.646e-8 * cos[0.73261192032 + 2274.1169495098 * tau] + 1.616e-8 * cos[3.39954231101 + 8429.2412664666 * tau] + 1.642e-8 * cos[1.86812936557 + 6680.2445323314 * tau] + 2.265e-8 * cos[1.8577388518 + 6525.8044539654 * tau] + 1.806e-8 * cos[2.38408432339 + 11243.6858464208 * tau] + 2.385e-8 * cos[6.23883456815 + 12964.300703391 * tau] + 2.213e-8 * cos[3.9198232636 + 3205.5473466644 * tau] + 1.937e-8 * cos[0.38000997629 + 13358.9265884502 * tau] + 2.443e-8 * cos[3.02632351975 + 3767.2106175758 * tau] + 2.253e-8 * cos[0.47469626036 + 3475.6775067352 * tau] + 2.495e-8 * cos[3.87395320804 + 7903.073419721 * tau] + 2.156e-8 * cos[2.87771528495 + 6041.3275670856 * tau] + 2.686e-8 * cos[2.38172448359 + 15113.9892382152 * tau] + 2.157e-8 * cos[6.07600403318 + 9808.5381846614 * tau] + 2.192e-8 * cos[1.688775987 + 639.897286314 * tau] + 2.516e-8 * cos[2.30275910483 + 3723.508958923 * tau] + 3.094e-8 * cos[2.40385309455 + 2118.7638603784 * tau] + 3.011e-8 * cos[4.33965766608 + 2388.8940204492 * tau] + 2.616e-8 * cos[1.23659420897 + 4933.2084403326 * tau] + 2.510e-8 * cos[4.06249795775 + 6872.6731195112 * tau] + 3.372e-8 * cos[4.45558202843 + 6674.1113063988 * tau] + 2.879e-8 * cos[2.93292197885 + 2787.0430238574 * tau] + 3.044e-8 * cos[4.38894419912 + 1221.8485663214 * tau] + 3.093e-8 * cos[1.98041729732 + 3337.021998048 * tau] + 3.079e-8 * cos[2.41163389513 + 3344.2028553516 * tau] + 3.124e-8 * cos[0.08536218671 + 10419.9862835076 * tau] + 4.101e-8 * cos[6.22532797325 + 10213.285546211 * tau] + 4.246e-8 * cos[4.1963927863 + 2146.1654164752 * tau] + 3.361e-8 * cos[1.85016770821 + 2957.7158944766 * tau] + 3.919e-8 * cos[2.96552252075 + 7740.6067835888 * tau] + 4.999e-8 * cos[3.09121636067 + 15643.6802033098 * tau] + 4.686e-8 * cos[3.27731664264 + 3361.3878221922 * tau] + 4.639e-8 * cos[6.14089337232 + 7.1135470008 * tau] + 5.174e-8 * cos[3.62343554596 + 2700.7151403858 * tau] + 3.954e-8 * cos[2.65573703692 + 4929.6853219836 * tau] + 4.685e-8 * cos[1.11750235736 + 3319.8370312074 * tau] + 4.184e-8 * cos[1.8582188554 + 10021.8200264472 * tau] + 4.184e-8 * cos[3.88899446923 + 10021.8545337516 * tau] + 5.530e-8 * cos[5.81711987294 + 23384.2869868986 * tau] + 4.965e-8 * cos[5.74589127183 + 1990.745017041 * tau] + 5.592e-8 * cos[3.97792577165 + 3127.3133312618 * tau] + 4.863e-8 * cos[1.33051301524 + 3894.1818295422 * tau] + 5.126e-8 * cos[0.11856805 + 4562.4609930212 * tau] + 5.038e-8 * cos[6.06393121994 + 7210.9158184942 * tau] + 5.584e-8 * cos[6.18909308524 + 4292.3308329504 * tau] + 6.974e-8 * cos[0.53246284561 + 12832.7587417046 * tau] + 6.087e-8 * cos[1.89071507516 + 9595.2390892234 * tau] + 8.560e-8 * cos[4.79003986337 + 4690.4798363586 * tau] + 7.209e-8 * cos[4.41679446871 + 7477.522860216 * tau] + 8.754e-8 * cos[5.88131160438 + 6681.1575430968 * tau] + 8.103e-8 * cos[1.00994045172 + 9225.539273283 * tau] + 8.799e-8 * cos[1.52910882795 + 3339.6321056316 * tau] + 8.213e-8 * cos[4.8260813471 + 3553.9115221378 * tau] + 8.384e-8 * cos[2.65895230037 + 4535.0594369244 * tau] + 8.797e-8 * cos[2.86597575792 + 3341.592747768 * tau] + 8.652e-8 * cos[4.72118876809 + 213.299095438 * tau] + 8.937e-8 * cos[4.8379038561 + 6489.776587288 * tau] + 8.754e-8 * cos[5.47281660412 + 6681.2921637024 * tau] + 9.761e-8 * cos[1.0934228866 + 2544.3144198834 * tau] + 9.846e-8 * cos[0.86942245495 + 1592.5960136328 * tau] + 1.0435e-7 * cos[5.72414012635 + 6467.9257579616 * tau] + 1.1530e-7 * cos[2.13314819584 + 11773.3768115154 * tau] + 1.1196e-7 * cos[0.55829576311 + 5092.1519581158 * tau] + 1.1554e-7 * cos[5.5741897182 + 191.4482661116 * tau] + 1.3183e-7 * cos[0.04521207632 + 10018.3141617504 * tau] + 1.2080e-7 * cos[1.51804981987 + 3185.1920272656 * tau] + 1.3011e-7 * cos[5.70759434129 + 10025.3603984484 * tau] + 1.5104e-7 * cos[2.81013535571 + 3496.032826134 * tau] + 1.4008e-7 * cos[1.67425558329 + 6254.6266625236 * tau] + 1.3310e-7 * cos[2.62839773036 + 426.598190876 * tau] + 1.4152e-7 * cos[2.42512744356 + 3333.498879699 * tau] + 1.4682e-7 * cos[5.89211938785 + 9623.6882766912 * tau] + 1.9947e-7 * cos[2.67365368471 + 8432.7643848156 * tau] + 1.4846e-7 * cos[3.41358603159 + 5088.6288397668 * tau] + 1.8887e-7 * cos[6.04416196149 + 7079.3738568078 * tau] + 2.2637e-7 * cos[2.27507466406 + 1194.4470102246 * tau] + 2.6052e-7 * cos[2.60064548916 + 4399.994356889 * tau] + 2.3336e-7 * cos[2.27624532707 + 1589.0728952838 * tau] + 2.6603e-7 * cos[1.52008675291 + 6681.2075997474 * tau] + 2.6603e-7 * cos[3.5508584402 + 6681.2421070518 * tau] + 2.8618e-7 * cos[4.94710527914 + 3870.3033917944 * tau] + 2.8169e-7 * cos[2.06282533993 + 5486.777843175 * tau] + 2.9521e-7 * cos[2.75342566734 + 12303.06777661 * tau] + 3.2736e-7 * cos[2.62071056958 + 2914.0142358238 * tau] + 2.9694e-7 * cos[5.92218297386 + 3532.0606928114 * tau] + 3.3069e-7 * cos[4.06581918329 + 1751.539531416 * tau] + 3.8540e-7 * cos[4.08008443274 + 4136.9104335162 * tau] + 4.7199e-7 * cos[4.52184736343 + 3149.1641605882 * tau] + 4.1269e-7 * cos[0.20003189001 + 9492.1463150048 * tau] + 4.5588e-7 * cos[2.13262507507 + 2810.9214616052 * tau] + 4.6630e-7 * cos[5.47361665459 + 20043.6745601988 * tau] + 4.6953e-7 * cos[5.13486627234 + 3340.6797370026 * tau] + 4.6951e-7 * cos[5.54339723804 + 3340.545116397 * tau] + 6.2338e-7 * cos[4.85071999184 + 2942.4634232916 * tau] + 6.3111e-7 * cos[0.73049113369 + 5884.9268465832 * tau] + 6.0116e-7 * cos[3.67960808826 + 796.2980068164 * tau] + 8.3276e-7 * cos[5.98866315739 + 6677.7017350506 * tau] + 8.6377e-7 * cos[5.74429648412 + 3738.761430108 * tau] + 7.2660e-7 * cos[5.53775710437 + 6283.0758499914 * tau] + 7.3640e-7 * cos[5.09187524843 + 398.1490034082 * tau] + 8.2544e-7 * cos[5.36667872319 + 6684.7479717486 * tau] + 0.00000142685 * cos[3.2129218082 + 3340.629680352 * tau] + 0.00000142686 * cos[1.1821501611 + 3340.5951730476 * tau] + 0.00000149297 * cos[2.16501209917 + 5621.8429232104 * tau] + 0.00000139323 * cos[2.41796344238 + 8962.4553499102 * tau] + 0.00000159678 * cos[2.23194610246 + 1059.3819301892 * tau] + 0.00000163159 * cos[4.26399626634 + 529.6909650946 * tau] + 0.00000181982 * cos[6.13648011704 + 6151.533888305 * tau] + 0.00000292506 * cos[3.79290644595 + 2281.2304965106 * tau] + 0.00000399109 * cos[5.130568147 + 16703.062133499 * tau] + 0.00000443401 * cos[5.02642620491 + 3344.1355450488 * tau] + 0.00000442999 * cos[5.65233015876 + 3337.0893083508 * tau] + 0.000034841 * cos[4.78812547889 + 13362.4497067992 * tau] + 0.00031365538 * cos[4.44651052853 + 10021.8372800994 * tau] + 0.00289104742 * cos[0.0 + 0.0 * tau] + 0.00298033234 * cos[4.10616996243 + 6681.2248533996 * tau] + 0.03197134986 * cos[3.76832042432 + 3340.6124266998 * tau]; B1 = 3.2e-10 * cos[2.13597148493 + 9468.267877257 * tau] + 2.8e-10 * cos[1.30366587075 + 8439.8779318164 * tau] + 2.3e-10 * cos[6.09244870438 + 20199.094959633 * tau] + 2.5e-10 * cos[4.22744782935 + 1692.1656695024 * tau] + 2.4e-10 * cos[5.574885448 + 10264.5658840734 * tau] + 2.9e-10 * cos[5.36428737888 + 2707.8286873866 * tau] + 2.4e-10 * cos[2.45239543931 + 17085.9586657222 * tau] + 2.6e-10 * cos[5.47626814223 + 3074.005384978 * tau] + 2.5e-10 * cos[4.84964369679 + 1648.4467571974 * tau] + 3.0e-10 * cos[5.22285260441 + 9485.032768004 * tau] + 2.5e-10 * cos[2.05970140678 + 17395.2197347258 * tau] + 2.5e-10 * cos[4.60925601393 + 8329.671610597 * tau] + 3.4e-10 * cos[3.65553061498 + 14158.7477136156 * tau] + 2.6e-10 * cos[5.03535225585 + 30065.5118402982 * tau] + 2.6e-10 * cos[1.05197848649 + 13207.029307365 * tau] + 2.8e-10 * cos[0.60182098585 + 11766.2632645146 * tau] + 3.0e-10 * cos[3.33348460172 + 3369.0616141676 * tau] + 3.3e-10 * cos[4.85478789063 + 6701.5801727984 * tau] + 3.3e-10 * cos[0.36423446435 + 6604.958782124 * tau] + 3.2e-10 * cos[1.42334455474 + 76.2660712756 * tau] + 3.2e-10 * cos[1.37056688814 + 6040.3472460174 * tau] + 2.9e-10 * cos[0.43949269085 + 3351.2490920496 * tau] + 2.9e-10 * cos[5.68073325802 + 3329.97576135 * tau] + 2.9e-10 * cos[5.06447742493 + 5099.2655051166 * tau] + 2.9e-10 * cos[2.93988761068 + 6696.4773245846 * tau] + 3.2e-10 * cos[5.01760544488 + 3191.0492295652 * tau] + 3.0e-10 * cos[5.168824354 + 16304.9131300908 * tau] + 2.9e-10 * cos[4.65051930186 + 10235.1363755374 * tau] + 2.9e-10 * cos[2.97927335664 + 2766.267628365 * tau] + 3.0e-10 * cos[3.55459460301 + 9070.1188738488 * tau] + 3.0e-10 * cos[0.21926429217 + 6660.8695340008 * tau] + 3.7e-10 * cos[2.14901622101 + 6665.9723822146 * tau] + 3.1e-10 * cos[3.16209740784 + 12935.8515159232 * tau] + 3.2e-10 * cos[5.75360661734 + 6546.1597733642 * tau] + 3.4e-10 * cos[3.25657016622 + 14054.607308026 * tau] + 3.1e-10 * cos[4.18674524484 + 17256.6315363414 * tau] + 3.3e-10 * cos[3.70858397913 + 10020.8569590312 * tau] + 3.7e-10 * cos[3.30085609301 + 20995.3929664494 * tau] + 3.2e-10 * cos[4.9607870365 + 24734.1543965574 * tau] + 3.2e-10 * cos[2.22618836835 + 7107.8230442756 * tau] + 3.2e-10 * cos[0.91212661789 + 12310.1813236108 * tau] + 4.0e-10 * cos[3.96893429107 + 13171.0014406876 * tau] + 3.7e-10 * cos[1.33065895739 + 12295.9542296092 * tau] + 3.9e-10 * cos[3.00951950244 + 3344.4937620578 * tau] + 3.9e-10 * cos[4.76186135572 + 20597.2439630412 * tau] + 3.9e-10 * cos[2.08367076229 + 13745.3462390224 * tau] + 4.7e-10 * cos[4.52334272666 + 10021.9045904022 * tau] + 3.5e-10 * cos[1.65976191407 + 12168.0026965746 * tau] + 4.6e-10 * cos[5.62762941168 + 9168.6408983474 * tau] + 4.9e-10 * cos[1.88325571471 + 11216.284290324 * tau] + 4.4e-10 * cos[0.91040525278 + 5459.3762870782 * tau] + 3.8e-10 * cos[4.03534957207 + 103.0927742186 * tau] + 3.8e-10 * cos[6.16317067723 + 2818.035008606 * tau] + 3.8e-10 * cos[3.31198341709 + 1744.4259844152 * tau] + 3.9e-10 * cos[1.62689158397 + 3335.0895023924 * tau] + 4.9e-10 * cos[3.0423606533 + 640.8776073822 * tau] + 4.1e-10 * cos[2.46188112193 + 6660.4494579072 * tau] + 3.9e-10 * cos[5.54634215618 + 6702.000248892 * tau] + 5.3e-10 * cos[2.9328571132 + 3981.490034082 * tau] + 5.5e-10 * cos[4.013214817 + 10177.2576795336 * tau] + 4.3e-10 * cos[3.21191030055 + 6247.5131155228 * tau] + 4.8e-10 * cos[3.44104044998 + 692.1576012268 * tau] + 4.2e-10 * cos[6.22365857047 + 3914.9572250346 * tau] + 4.3e-10 * cos[0.21864618144 + 9779.1086761254 * tau] + 4.7e-10 * cos[1.40206686464 + 8425.6508378148 * tau] + 4.4e-10 * cos[2.58542985685 + 13916.0191096416 * tau] + 4.5e-10 * cos[4.97928157994 + 8671.9698704406 * tau] + 4.8e-10 * cos[1.59939595487 + 18052.9295431578 * tau] + 5.5e-10 * cos[1.36081433917 + 21393.5419698576 * tau] + 5.0e-10 * cos[2.01769015785 + 10022.8176011676 * tau] + 4.9e-10 * cos[4.58036235824 + 10551.528245194 * tau] + 5.7e-10 * cos[5.57913927474 + 3376.6402933772 * tau] + 5.9e-10 * cos[4.13409540555 + 4407.1079038898 * tau] + 5.9e-10 * cos[2.83458587563 + 13362.4669604514 * tau] + 5.9e-10 * cos[0.07234691744 + 6531.661656265 * tau] + 5.3e-10 * cos[0.55329112916 + 14314.1681130498 * tau] + 5.5e-10 * cos[0.37478855406 + 149.5631971346 * tau] + 5.9e-10 * cos[0.8038238079 + 13362.432453147 * tau] + 6.1e-10 * cos[5.33515994167 + 853.196381752 * tau] + 5.5e-10 * cos[1.11154560464 + 433.7117378768 * tau] + 6.1e-10 * cos[1.37421861116 + 419.4846438752 * tau] + 6.4e-10 * cos[3.75812808116 + 1596.1864422846 * tau] + 8.6e-10 * cos[3.34935714534 + 1581.959348283 * tau] + 7.8e-10 * cos[1.41762772678 + 3.523118349 * tau] + 6.2e-10 * cos[3.1642052001 + 13517.8701062334 * tau] + 6.2e-10 * cos[0.25250107112 + 3980.5097130138 * tau] + 6.4e-10 * cos[2.43149744819 + 2648.454825473 * tau] + 8.6e-10 * cos[1.82073461894 + 10404.7338123226 * tau] + 7.1e-10 * cos[1.71691035008 + 10575.4066829418 * tau] + 6.7e-10 * cos[3.68731475523 + 4032.7700279266 * tau] + 6.6e-10 * cos[5.01996258363 + 16706.585251848 * tau] + 7.0e-10 * cos[1.93458925881 + 3475.6775067352 * tau] + 7.9e-10 * cos[0.61833410504 + 951.7184062506 * tau] + 6.9e-10 * cos[3.5047791691 + 10713.9948813262 * tau] + 9.2e-10 * cos[1.40883592065 + 3336.7310913418 * tau] + 7.6e-10 * cos[5.23354729169 + 13760.5987102074 * tau] + 9.5e-10 * cos[0.29428946155 + 5628.9564702112 * tau] + 8.8e-10 * cos[2.78893554858 + 11769.8536931664 * tau] + 8.4e-10 * cos[2.16662156833 + 12566.1516999828 * tau] + 7.9e-10 * cos[4.25171159471 + 7373.3824546264 * tau] + 7.5e-10 * cos[4.91191036053 + 10021.7699697966 * tau] + 9.1e-10 * cos[1.48623539837 + 8270.2977486834 * tau] + 8.3e-10 * cos[0.80327899268 + 5085.038411115 * tau] + 9.5e-10 * cos[0.32948273562 + 3863.1898447936 * tau] + 7.8e-10 * cos[0.89238228021 + 2699.7348193176 * tau] + 9.9e-10 * cos[3.28955694324 + 17654.7805397496 * tau] + 8.5e-10 * cos[3.33671991814 + 1758.6530784168 * tau] + 8.3e-10 * cos[2.04400907684 + 18984.2926300096 * tau] + 8.2e-10 * cos[4.87880877413 + 5828.0284716476 * tau] + 9.6e-10 * cos[5.13010621713 + 3304.5845600224 * tau] + 8.7e-10 * cos[3.50260474148 + 3077.528503327 * tau] + 8.7e-10 * cos[4.14322802003 + 3603.6963500726 * tau] + 9.5e-10 * cos[0.64723185059 + 2487.4160449478 * tau] + 1.12e-9 * cos[3.14240135508 + 3316.733988952 * tau] + 1.31e-9 * cos[0.08971075365 + 8273.8208670324 * tau] + 1.00e-9 * cos[2.56456804207 + 3178.1457905676 * tau] + 9.9e-10 * cos[5.62543167 + 10973.55568635 * tau] + 1.42e-9 * cos[3.85764234922 + 6894.5239488376 * tau] + 1.24e-9 * cos[4.92495255567 + 12964.300703391 * tau] + 1.21e-9 * cos[4.22204758443 + 6158.6474353058 * tau] + 1.08e-9 * cos[0.94652521237 + 9808.5381846614 * tau] + 1.06e-9 * cos[1.21268139587 + 7234.794256242 * tau] + 1.17e-9 * cos[5.66812806862 + 536.8045120954 * tau] + 1.05e-9 * cos[3.27202438053 + 15113.9892382152 * tau] + 1.10e-9 * cos[5.78893316282 + 16173.3711684044 * tau] + 1.30e-9 * cos[1.33114943655 + 3347.7259737006 * tau] + 1.14e-9 * cos[2.12636383988 + 6688.3384004004 * tau] + 1.33e-9 * cos[4.20989922795 + 11371.7046897582 * tau] + 1.55e-9 * cos[1.5718930764 + 3767.2106175758 * tau] + 1.29e-9 * cos[2.02607662846 + 3346.1353510072 * tau] + 1.63e-9 * cos[5.83356697025 + 639.897286314 * tau] + 1.27e-9 * cos[0.26234206855 + 13358.9265884502 * tau] + 1.27e-9 * cos[1.76223414864 + 11081.2192102886 * tau] + 1.76e-9 * cos[2.37291314099 + 2118.7638603784 * tau] + 1.28e-9 * cos[2.80753554051 + 14584.2982731206 * tau] + 1.30e-9 * cos[0.66881298338 + 10014.7237330986 * tau] + 1.32e-9 * cos[4.97828413367 + 1748.016413067 * tau] + 1.49e-9 * cos[0.49665393273 + 8969.568896911 * tau] + 1.39e-9 * cos[5.7549355704 + 7632.9432596502 * tau] + 1.86e-9 * cos[2.44723831367 + 3503.079062832 * tau] + 1.55e-9 * cos[1.24529852403 + 3364.4908644476 * tau] + 1.60e-9 * cos[2.90951395323 + 6872.6731195112 * tau] + 1.88e-9 * cos[0.67072289565 + 6298.3283211764 * tau] + 1.99e-9 * cos[4.22948972595 + 3312.163239232 * tau] + 1.62e-9 * cos[3.94498519498 + 2921.1277828246 * tau] + 1.77e-9 * cos[3.92599588022 + 8031.0922630584 * tau] + 2.15e-9 * cos[2.12744795327 + 553.5694028424 * tau] + 1.98e-9 * cos[4.50685315424 + 242.728603974 * tau] + 1.99e-9 * cos[3.26545613445 + 382.8965322232 * tau] + 2.02e-9 * cos[2.63373646725 + 10021.8545337516 * tau] + 2.26e-9 * cos[2.4333250327 + 8429.2412664666 * tau] + 2.02e-9 * cos[0.60277862639 + 10021.8200264472 * tau] + 2.06e-9 * cos[5.23615052385 + 6923.9534573736 * tau] + 2.15e-9 * cos[3.44260776071 + 8827.3902698748 * tau] + 2.19e-9 * cos[0.03864812268 + 522.5774180938 * tau] + 2.46e-9 * cos[0.16913226579 + 2700.7151403858 * tau] + 2.28e-9 * cos[0.71217112323 + 9866.4168806652 * tau] + 2.41e-9 * cos[1.89683861728 + 15643.6802033098 * tau] + 2.42e-9 * cos[2.57630671866 + 3355.8648978848 * tau] + 2.48e-9 * cos[3.93789974497 + 11243.6858464208 * tau] + 2.74e-9 * cos[3.61160906396 + 191.4482661116 * tau] + 2.78e-9 * cos[1.5084206034 + 4929.6853219836 * tau] + 2.37e-9 * cos[3.19837233399 + 5729.506447149 * tau] + 2.39e-9 * cos[1.35709001659 + 7064.1213856228 * tau] + 2.40e-9 * cos[4.87364672707 + 6144.4203413042 * tau] + 2.49e-9 * cos[3.31328995337 + 10818.1352869158 * tau] + 2.45e-9 * cos[4.71030710599 + 26724.8994135984 * tau] + 3.17e-9 * cos[6.15274242841 + 3320.257107301 * tau] + 3.12e-9 * cos[4.63751658715 + 5331.3574437408 * tau] + 2.69e-9 * cos[1.78448639785 + 6127.6554505572 * tau] + 2.56e-9 * cos[3.67744143301 + 1066.49547719 * tau] + 2.85e-9 * cos[0.97118840317 + 6681.1575430968 * tau] + 2.69e-9 * cos[4.4518241708 + 9381.9399937854 * tau] + 3.46e-9 * cos[1.65247014273 + 6682.2051744678 * tau] + 2.68e-9 * cos[3.57749600251 + 9830.3890139878 * tau] + 3.47e-9 * cos[1.52200237477 + 10213.285546211 * tau] + 3.58e-9 * cos[4.21258737082 + 1052.2683831884 * tau] + 2.84e-9 * cos[0.56373187712 + 6681.2921637024 * tau] + 3.06e-9 * cos[1.52567836482 + 7875.6718636242 * tau] + 3.29e-9 * cos[5.64440592793 + 12832.7587417046 * tau] + 2.95e-9 * cos[2.87635162282 + 7210.9158184942 * tau] + 3.10e-9 * cos[4.09100416919 + 3344.2028553516 * tau] + 3.12e-9 * cos[3.66073476074 + 3337.021998048 * tau] + 3.16e-9 * cos[3.2206408943 + 1221.8485663214 * tau] + 3.22e-9 * cos[2.42607399606 + 2274.1169495098 * tau] + 3.30e-9 * cos[1.00078638665 + 8955.3418029094 * tau] + 4.26e-9 * cos[5.47172830908 + 3205.5473466644 * tau] + 4.09e-9 * cos[4.53421956625 + 3360.96774609859 * tau] + 3.58e-9 * cos[4.21584518245 + 426.598190876 * tau] + 3.80e-9 * cos[1.91138845097 + 3553.9115221378 * tau] + 3.95e-9 * cos[4.89021898045 + 10419.9862835076 * tau] + 4.30e-9 * cos[0.62845892205 + 5614.7293762096 * tau] + 4.17e-9 * cos[4.48716253276 + 7903.073419721 * tau] + 4.87e-9 * cos[2.72879191049 + 3319.8370312074 * tau] + 4.41e-9 * cos[1.82408206251 + 3325.3599555148 * tau] + 5.20e-9 * cos[6.19100285186 + 6438.4962494256 * tau] + 5.34e-9 * cos[4.88536251621 + 3361.3878221922 * tau] + 4.82e-9 * cos[4.73460866232 + 13365.9728251482 * tau] + 4.45e-9 * cos[3.4243988628 + 6680.2445323314 * tau] + 5.58e-9 * cos[2.09491968451 + 2288.3440435114 * tau] + 5.28e-9 * cos[6.0619072177 + 4933.2084403326 * tau] + 4.81e-9 * cos[3.51023225206 + 155.4203994342 * tau] + 5.12e-9 * cos[1.53960708348 + 7740.6067835888 * tau] + 5.08e-9 * cos[4.07262127921 + 7.1135470008 * tau] + 5.13e-9 * cos[0.96852780537 + 9623.6882766912 * tau] + 5.58e-9 * cos[2.92718433901 + 1589.0728952838 * tau] + 7.38e-9 * cos[3.7871562478 + 4562.4609930212 * tau] + 6.11e-9 * cos[3.97393774087 + 6041.3275670856 * tau] + 6.41e-9 * cos[4.4691872125 + 6836.6452528338 * tau] + 7.82e-9 * cos[1.56739177814 + 3333.498879699 * tau] + 6.70e-9 * cos[3.23650405278 + 9595.2390892234 * tau] + 6.59e-9 * cos[0.33901474348 + 2957.7158944766 * tau] + 8.66e-9 * cos[2.89344915945 + 6681.2075997474 * tau] + 7.97e-9 * cos[4.53307543814 + 7079.3738568078 * tau] + 8.66e-9 * cos[4.92421595837 + 6681.2421070518 * tau] + 9.54e-9 * cos[4.90448639106 + 3583.3410306738 * tau] + 9.13e-9 * cos[2.86098924372 + 2388.8940204492 * tau] + 1.013e-8 * cos[5.90131661122 + 3097.88382272579 * tau] + 9.46e-9 * cos[3.14940196742 + 6489.776587288 * tau] + 9.89e-9 * cos[2.37220445455 + 9225.539273283 * tau] + 1.230e-8 * cos[0.37904885593 + 6525.8044539654 * tau] + 1.032e-8 * cos[4.26592917807 + 1990.745017041 * tau] + 1.303e-8 * cos[1.12409937702 + 4399.994356889 * tau] + 9.39e-9 * cos[2.99716248257 + 7477.522860216 * tau] + 1.029e-8 * cos[1.21951732572 + 4535.0594369244 * tau] + 1.043e-8 * cos[3.98123209815 + 12303.06777661 * tau] + 1.194e-8 * cos[0.84501638145 + 1194.4470102246 * tau] + 1.107e-8 * cos[1.44142157852 + 2787.0430238574 * tau] + 1.204e-8 * cos[0.95200561837 + 10018.3141617504 * tau] + 1.211e-8 * cos[0.97241747335 + 6467.9257579616 * tau] + 1.173e-8 * cos[1.2603660844 + 3341.592747768 * tau] + 1.179e-8 * cos[6.15475441355 + 213.299095438 * tau] + 1.168e-8 * cos[3.52407129935 + 11773.3768115154 * tau] + 1.215e-8 * cos[0.33914405698 + 6674.1113063988 * tau] + 1.378e-8 * cos[4.12087865376 + 3723.508958923 * tau] + 1.332e-8 * cos[5.6796683701 + 1592.5960136328 * tau] + 1.373e-8 * cos[3.20232312108 + 2146.1654164752 * tau] + 1.452e-8 * cos[1.53948251192 + 9492.1463150048 * tau] + 1.621e-8 * cos[2.26742355334 + 3149.1641605882 * tau] + 1.782e-8 * cos[2.70229954651 + 4136.9104335162 * tau] + 2.248e-8 * cos[4.46756441051 + 10025.3603984484 * tau] + 1.922e-8 * cos[4.37668623732 + 23384.2869868986 * tau] + 2.014e-8 * cos[5.48528849094 + 3127.3133312618 * tau] + 1.860e-8 * cos[5.15222219319 + 796.2980068164 * tau] + 1.996e-8 * cos[1.51200589223 + 4292.3308329504 * tau] + 2.577e-8 * cos[2.78651098185 + 6254.6266625236 * tau] + 2.431e-8 * cos[0.14615904873 + 4690.4798363586 * tau] + 2.792e-8 * cos[4.27117916474 + 8432.7643848156 * tau] + 2.233e-8 * cos[2.91238180064 + 3894.1818295422 * tau] + 2.304e-8 * cos[1.38460565999 + 3870.3033917944 * tau] + 3.194e-8 * cos[2.86899092087 + 1751.539531416 * tau] + 3.171e-8 * cos[1.24730004776 + 3738.761430108 * tau] + 3.013e-8 * cos[1.00910437496 + 2914.0142358238 * tau] + 3.102e-8 * cos[3.11487063736 + 3339.6321056316 * tau] + 3.471e-8 * cos[5.07253485267 + 5088.6288397668 * tau] + 4.898e-8 * cos[4.12922007874 + 1059.3819301892 * tau] + 5.145e-8 * cos[0.45169791514 + 3340.6797370026 * tau] + 5.148e-8 * cos[0.85886443528 + 3340.545116397 * tau] + 5.618e-8 * cos[0.03475872145 + 3185.1920272656 * tau] + 5.864e-8 * cos[3.69652093329 + 5486.777843175 * tau] + 5.811e-8 * cos[3.55479498415 + 5092.1519581158 * tau] + 8.085e-8 * cos[4.29614034209 + 6684.7479717486 * tau] + 9.250e-8 * cos[4.35071778619 + 3496.032826134 * tau] + 8.102e-8 * cos[0.84279830287 + 6283.0758499914 * tau] + 8.903e-8 * cos[5.95437916504 + 2810.9214616052 * tau] + 8.637e-8 * cos[1.75213704409 + 2544.3144198834 * tau] + 8.800e-8 * cos[0.34079528233 + 398.1490034082 * tau] + 1.2493e-7 * cos[2.25620513522 + 5884.9268465832 * tau] + 1.4268e-7 * cos[0.24640247719 + 2942.4634232916 * tau] + 1.2711e-7 * cos[4.04546734935 + 20043.6745601988 * tau] + 1.3771e-7 * cos[1.67983063909 + 3532.0606928114 * tau] + 1.5622e-7 * cos[4.81318636318 + 3340.629680352 * tau] + 1.5622e-7 * cos[2.78241383265 + 3340.5951730476 * tau] + 1.3067e-7 * cos[0.97324736181 + 6677.7017350506 * tau] + 1.6975e-7 * cos[4.81115186866 + 3344.1355450488 * tau] + 1.5680e-7 * cos[3.93075566599 + 8962.4553499102 * tau] + 1.8294e-7 * cos[6.03102943125 + 529.6909650946 * tau] + 2.0712e-7 * cos[1.44120802297 + 6151.533888305 * tau] + 3.2708e-7 * cos[3.45803723682 + 5621.8429232104 * tau] + 2.6171e-7 * cos[2.48293558065 + 2281.2304965106 * tau] + 7.8848e-7 * cos[3.71768293865 + 16703.062133499 * tau] + 0.00000102039 * cos[0.77617286189 + 3337.0893083508 * tau] + 0.00000425864 * cos[3.40843812875 + 13362.4497067992 * tau] + 0.00001471918 * cos[3.20205766795 + 10021.8372800994 * tau] + 0.00009670755 * cos[5.47877786506 + 6681.2248533996 * tau] + 0.0001411603 * cos[3.14159265359 + 0.0 * tau] + 0.00350068845 * cos[5.36847836211 + 3340.6124266998 * tau]; B2 = 1.5e-10 * cos[0.54135050421 + 640.8776073822 * tau] + 1.8e-10 * cos[6.22706341047 + 9381.9399937854 * tau] + 1.7e-10 * cos[0.86184324841 + 10973.55568635 * tau] + 1.7e-10 * cos[0.96519535826 + 191.4482661116 * tau] + 1.8e-10 * cos[4.76871968197 + 382.8965322232 * tau] + 1.9e-10 * cos[5.72169822815 + 11371.7046897582 * tau] + 2.0e-10 * cos[3.28531167827 + 9225.539273283 * tau] + 1.8e-10 * cos[4.11668144665 + 426.598190876 * tau] + 1.9e-10 * cos[0.99282533197 + 522.5774180938 * tau] + 2.0e-10 * cos[6.26534330674 + 7875.6718636242 * tau] + 1.9e-10 * cos[3.82087005916 + 12303.06777661 * tau] + 2.0e-10 * cos[0.15682384975 + 3205.5473466644 * tau] + 2.5e-10 * cos[2.49707182259 + 2118.7638603784 * tau] + 2.8e-10 * cos[5.8700989815 + 1052.2683831884 * tau] + 2.4e-10 * cos[1.93342510858 + 2699.7348193176 * tau] + 2.5e-10 * cos[1.45100528915 + 6872.6731195112 * tau] + 2.3e-10 * cos[6.2119501005 + 7740.6067835888 * tau] + 2.8e-10 * cos[4.19843924702 + 8429.2412664666 * tau] + 2.2e-10 * cos[5.01797528499 + 9595.2390892234 * tau] + 2.2e-10 * cos[4.67496434823 + 1194.4470102246 * tau] + 2.4e-10 * cos[2.16823248221 + 10419.9862835076 * tau] + 2.4e-10 * cos[2.96777681837 + 7064.1213856228 * tau] + 2.9e-10 * cos[2.02283118033 + 7234.794256242 * tau] + 2.5e-10 * cos[1.21627749818 + 9492.1463150048 * tau] + 2.8e-10 * cos[4.1817845554 + 7210.9158184942 * tau] + 3.1e-10 * cos[5.66015228291 + 1066.49547719 * tau] + 3.6e-10 * cos[3.28055425527 + 1589.0728952838 * tau] + 3.3e-10 * cos[0.19183878029 + 3347.7259737006 * tau] + 3.5e-10 * cos[1.49899662719 + 3320.257107301 * tau] + 2.9e-10 * cos[0.54115054572 + 6681.2921637024 * tau] + 3.5e-10 * cos[6.14813219827 + 3360.96774609859 * tau] + 3.1e-10 * cos[4.94959395405 + 6680.2445323314 * tau] + 3.7e-10 * cos[3.83188032092 + 3870.3033917944 * tau] + 3.7e-10 * cos[6.26349600634 + 6682.2051744678 * tau] + 3.2e-10 * cos[4.29985057106 + 3355.8648978848 * tau] + 3.6e-10 * cos[0.54858124109 + 7632.9432596502 * tau] + 3.9e-10 * cos[3.6498494618 + 553.5694028424 * tau] + 3.8e-10 * cos[3.1398138598 + 3149.1641605882 * tau] + 3.7e-10 * cos[3.44816851943 + 3325.3599555148 * tau] + 3.8e-10 * cos[2.49365585516 + 951.7184062506 * tau] + 4.2e-10 * cos[2.12882700518 + 213.299095438 * tau] + 4.8e-10 * cos[3.04342098072 + 5331.3574437408 * tau] + 4.5e-10 * cos[4.2620606379 + 796.2980068164 * tau] + 4.4e-10 * cos[5.2140954242 + 4136.9104335162 * tau] + 3.9e-10 * cos[5.45779680648 + 8031.0922630584 * tau] + 4.4e-10 * cos[4.64194663616 + 4399.994356889 * tau] + 4.7e-10 * cos[5.10736479739 + 8969.568896911 * tau] + 4.2e-10 * cos[3.32038536161 + 13365.9728251482 * tau] + 4.4e-10 * cos[4.61065704096 + 11773.3768115154 * tau] + 4.3e-10 * cos[2.2433473149 + 7.1135470008 * tau] + 4.5e-10 * cos[1.61358524585 + 5729.506447149 * tau] + 4.8e-10 * cos[2.87122326236 + 242.728603974 * tau] + 4.8e-10 * cos[1.12255878532 + 1349.8674096588 * tau] + 4.7e-10 * cos[3.25899585469 + 26724.8994135984 * tau] + 5.1e-10 * cos[2.48654805044 + 6467.9257579616 * tau] + 5.7e-10 * cos[4.73711357046 + 2274.1169495098 * tau] + 5.6e-10 * cos[5.23212313891 + 9866.4168806652 * tau] + 5.4e-10 * cos[1.50278239577 + 6489.776587288 * tau] + 5.1e-10 * cos[1.45495904398 + 7477.522860216 * tau] + 5.2e-10 * cos[5.84885902302 + 4535.0594369244 * tau] + 5.9e-10 * cos[0.27765984344 + 6127.6554505572 * tau] + 6.1e-10 * cos[4.51116100631 + 4933.2084403326 * tau] + 5.9e-10 * cos[3.79695096075 + 6923.9534573736 * tau] + 6.6e-10 * cos[5.08073805943 + 2957.7158944766 * tau] + 6.5e-10 * cos[2.11705931744 + 10018.3141617504 * tau] + 8.0e-10 * cos[5.48556941416 + 8432.7643848156 * tau] + 7.4e-10 * cos[5.84795427965 + 3341.592747768 * tau] + 7.8e-10 * cos[0.79220883728 + 2288.3440435114 * tau] + 7.6e-10 * cos[5.67354102576 + 6041.3275670856 * tau] + 7.6e-10 * cos[4.49660101731 + 4562.4609930212 * tau] + 7.7e-10 * cos[4.01966292109 + 1592.5960136328 * tau] + 9.2e-10 * cos[2.68470906437 + 1990.745017041 * tau] + 9.9e-10 * cos[1.50221319099 + 1751.539531416 * tau] + 1.16e-9 * cos[5.9773948353 + 2914.0142358238 * tau] + 1.08e-9 * cos[6.13917250674 + 1748.016413067 * tau] + 9.3e-10 * cos[2.7081739491 + 8955.3418029094 * tau] + 9.3e-10 * cos[5.04434801864 + 155.4203994342 * tau] + 1.36e-9 * cos[1.06039656714 + 2388.8940204492 * tau] + 1.02e-9 * cos[3.67040445208 + 1059.3819301892 * tau] + 1.06e-9 * cos[5.35414400998 + 3738.761430108 * tau] + 1.53e-9 * cos[5.93528616595 + 6836.6452528338 * tau] + 1.38e-9 * cos[1.23172102079 + 3127.3133312618 * tau] + 1.77e-9 * cos[1.41002572971 + 6438.4962494256 * tau] + 1.85e-9 * cos[2.99350590687 + 10025.3603984484 * tau] + 1.58e-9 * cos[1.89216973387 + 6674.1113063988 * tau] + 2.02e-9 * cos[4.25439775032 + 3333.498879699 * tau] + 1.98e-9 * cos[6.21548965568 + 2787.0430238574 * tau] + 2.38e-9 * cos[4.69268478666 + 6254.6266625236 * tau] + 2.40e-9 * cos[3.53331653789 + 3583.3410306738 * tau] + 2.23e-9 * cos[4.75562842441 + 2146.1654164752 * tau] + 2.47e-9 * cos[1.96071951597 + 3340.6797370026 * tau] + 2.47e-9 * cos[2.36923535528 + 3340.545116397 * tau] + 3.23e-9 * cos[5.1523014439 + 6525.8044539654 * tau] + 2.98e-9 * cos[2.58990636818 + 6684.7479717486 * tau] + 2.87e-9 * cos[1.98619629868 + 398.1490034082 * tau] + 3.10e-9 * cos[5.63324402105 + 3723.508958923 * tau] + 3.39e-9 * cos[2.92195933142 + 23384.2869868986 * tau] + 4.29e-9 * cos[1.70668733378 + 4690.4798363586 * tau] + 3.81e-9 * cos[2.2493311519 + 6283.0758499914 * tau] + 4.23e-9 * cos[3.08034568777 + 4292.3308329504 * tau] + 4.60e-9 * cos[1.0667034361 + 3097.88382272579 * tau] + 4.97e-9 * cos[4.65665197749 + 5092.1519581158 * tau] + 5.42e-9 * cos[4.68895461946 + 3339.6321056316 * tau] + 7.45e-9 * cos[0.05006463495 + 3340.629680352 * tau] + 6.81e-9 * cos[5.40951261308 + 2810.9214616052 * tau] + 5.86e-9 * cos[4.48071459693 + 3894.1818295422 * tau] + 7.45e-9 * cos[4.30248377111 + 3340.5951730476 * tau] + 6.44e-9 * cos[0.31400306761 + 5088.6288397668 * tau] + 7.02e-9 * cos[5.49076132554 + 8962.4553499102 * tau] + 8.15e-9 * cos[3.40910567373 + 2544.3144198834 * tau] + 1.100e-8 * cos[1.82962075794 + 2942.4634232916 * tau] + 8.83e-9 * cos[5.18681316017 + 5486.777843175 * tau] + 8.53e-9 * cos[1.33003321402 + 529.6909650946 * tau] + 8.60e-9 * cos[3.1169831893 + 6151.533888305 * tau] + 9.28e-9 * cos[0.29719160927 + 3344.1355450488 * tau] + 1.109e-8 * cos[3.80982317372 + 5884.9268465832 * tau] + 1.029e-8 * cos[2.35029907056 + 6677.7017350506 * tau] + 1.259e-8 * cos[4.80695172904 + 3185.1920272656 * tau] + 1.501e-8 * cos[3.18533003542 + 3532.0606928114 * tau] + 1.779e-8 * cos[2.5875996852 + 20043.6745601988 * tau] + 1.428e-8 * cos[1.2523814058 + 2281.2304965106 * tau] + 2.445e-8 * cos[5.18770525274 + 5621.8429232104 * tau] + 2.960e-8 * cos[5.89425825808 + 3496.032826134 * tau] + 7.985e-8 * cos[2.24892866611 + 16703.062133499 * tau] + 1.1820e-7 * cos[2.242407387 + 3337.0893083508 * tau] + 2.1452e-7 * cos[0.91749968618 + 10021.8372800994 * tau] + 2.5767e-7 * cos[1.89662673499 + 13362.4497067992 * tau] + 0.00000302141 * cos[5.55871276021 + 6681.2248533996 * tau] + 0.00004986799 * cos[3.14159265359 + 0.0 * tau] + 0.0001672669 * cos[0.60221392419 + 3340.6124266998 * tau]; B3 = 1.4e-10 * cos[1.06654064248 + 6836.6452528338 * tau] + 1.1e-10 * cos[0.43817745316 + 1059.3819301892 * tau] + 1.7e-10 * cos[0.80891817293 + 1194.4470102246 * tau] + 2.0e-10 * cos[5.96181389299 + 5092.1519581158 * tau] + 2.1e-10 * cos[2.9476550159 + 398.1490034082 * tau] + 1.9e-10 * cos[4.34401282378 + 6151.533888305 * tau] + 1.8e-10 * cos[5.53170427847 + 3333.498879699 * tau] + 1.8e-10 * cos[0.36433365806 + 155.4203994342 * tau] + 2.1e-10 * cos[0.51744721589 + 8962.4553499102 * tau] + 2.1e-10 * cos[1.12581894224 + 3340.629680352 * tau] + 2.3e-10 * cos[4.70639896508 + 2787.0430238574 * tau] + 2.4e-10 * cos[5.41362501363 + 3340.5951730476 * tau] + 3.2e-10 * cos[1.44641701752 + 23384.2869868986 * tau] + 3.6e-10 * cos[2.79633276263 + 529.6909650946 * tau] + 5.1e-10 * cos[5.24063514394 + 5884.9268465832 * tau] + 3.9e-10 * cos[0.91787211117 + 3723.508958923 * tau] + 3.7e-10 * cos[0.04871920725 + 2146.1654164752 * tau] + 4.4e-10 * cos[1.89342588822 + 3583.3410306738 * tau] + 5.2e-10 * cos[3.25535694335 + 4690.4798363586 * tau] + 4.5e-10 * cos[0.38295906298 + 5486.777843175 * tau] + 5.8e-10 * cos[3.65295480755 + 6525.8044539654 * tau] + 5.0e-10 * cos[1.89408668049 + 5088.6288397668 * tau] + 5.0e-10 * cos[3.75358626972 + 6677.7017350506 * tau] + 5.8e-10 * cos[4.64867983361 + 4292.3308329504 * tau] + 6.2e-10 * cos[6.257389499 + 3339.6321056316 * tau] + 1.06e-9 * cos[3.41315845439 + 2942.4634232916 * tau] + 9.9e-10 * cos[4.92257049901 + 2544.3144198834 * tau] + 9.3e-10 * cos[6.03607685759 + 3894.1818295422 * tau] + 1.26e-9 * cos[4.74517022983 + 3532.0606928114 * tau] + 1.23e-9 * cos[2.55664973413 + 3097.88382272579 * tau] + 1.58e-9 * cos[1.09025317222 + 20043.6745601988 * tau] + 1.69e-9 * cos[0.29980532608 + 5621.8429232104 * tau] + 1.85e-9 * cos[3.28778562029 + 3185.1920272656 * tau] + 4.79e-9 * cos[0.70504966293 + 16703.062133499 * tau] + 6.17e-9 * cos[1.14471772765 + 3496.032826134 * tau] + 6.07e-9 * cos[0.10618486408 + 13362.4497067992 * tau] + 9.29e-9 * cos[3.75226159072 + 3337.0893083508 * tau] + 2.730e-8 * cos[3.45377082121 + 10021.8372800994 * tau] + 1.3652e-7 * cos[1.795882288 + 6681.2248533996 * tau] + 4.2611e-7 * cos[0.0 + 0.0 * tau] + 0.00000606506 * cos[1.98050633529 + 3340.6124266998 * tau]; B4 = 1.0e-10 * cos[0.959895956 + 3894.1818295422 * tau] + 1.3e-10 * cos[2.06957065662 + 13362.4497067992 * tau] + 1.3e-10 * cos[5.41704779112 + 16703.062133499 * tau] + 2.3e-10 * cos[1.7242234213 + 3185.1920272656 * tau] + 2.2e-10 * cos[4.09971603267 + 3097.88382272579 * tau] + 5.3e-10 * cos[5.27888218929 + 3337.0893083508 * tau] + 1.02e-9 * cos[2.66185835593 + 3496.032826134 * tau] + 1.48e-9 * cos[1.05056602649 + 10021.8372800994 * tau] + 7.44e-9 * cos[0.50445805257 + 6681.2248533996 * tau] + 1.3369e-7 * cos[0.0 + 0.0 * tau] + 1.1334e-7 * cos[3.45724352586 + 3340.6124266998 * tau]; B5 = 7e-11 * cos[0.0 + 0.0 * tau] + 1.3e-10 * cos[4.17736925293 + 3496.032826134 * tau] + 1.2e-10 * cos[5.75114070583 + 10021.8372800994 * tau] + 5.3e-10 * cos[5.30547050586 + 6681.2248533996 * tau] + 4.57e-9 * cos[4.86794125358 + 3340.6124266998 * tau]; R0 = 6.8e-10 * cos[5.74655335863 + 987.746272928 * tau] + 5.9e-10 * cos[4.71734799803 + 6283.0931036436 * tau] + 5.4e-10 * cos[0.38782719267 + 360.1107819616 * tau] + 6.6e-10 * cos[2.82009591985 + 8771.0070837986 * tau] + 7.3e-10 * cos[4.20362525534 + 21150.8133658836 * tau] + 6.0e-10 * cos[4.61703903739 + 6990.5031760554 * tau] + 7.5e-10 * cos[3.99788100837 + 5483.254724826 * tau] + 5.7e-10 * cos[4.052526953 + 3930.2096962196 * tau] + 5.5e-10 * cos[2.19506741266 + 7.046236698 * tau] + 6.4e-10 * cos[3.9599211222 + 3050.1269472302 * tau] + 5.9e-10 * cos[5.49627068572 + 7322.1024607818 * tau] + 5.6e-10 * cos[0.18569912415 + 7768.0083396856 * tau] + 7.5e-10 * cos[5.79419108898 + 1059.364676537 * tau] + 6.1e-10 * cos[4.31994402891 + 4709.2726795448 * tau] + 6.3e-10 * cos[2.07254352069 + 7593.7950970652 * tau] + 5.6e-10 * cos[3.892008116 + 8962.3880396074 * tau] + 5.6e-10 * cos[5.54148283448 + 13286.1836355236 * tau] + 5.9e-10 * cos[2.68657637673 + 6283.0585963392 * tau] + 6.2e-10 * cos[2.25564130818 + 9758.7533567266 * tau] + 5.6e-10 * cos[3.77847713307 + 299.1263942692 * tau] + 6.8e-10 * cos[2.06915254754 + 8958.5231966471 * tau] + 7.5e-10 * cos[5.1583065968 + 45884.967762441 * tau] + 7.5e-10 * cos[1.8561801142 + 52566.19261584059 * tau] + 8.0e-10 * cos[2.14103357856 + 7917.3005137226 * tau] + 5.8e-10 * cos[4.22827613192 + 4531.5363185754 * tau] + 7.4e-10 * cos[4.40649822049 + 9360.6043533184 * tau] + 7.4e-10 * cos[3.46408580786 + 14556.8967170238 * tau] + 6.1e-10 * cos[5.8833385561 + 6901.6374958384 * tau] + 5.9e-10 * cos[1.75511446129 + 12082.6551341712 * tau] + 7.5e-10 * cos[4.81208819076 + 27299.2442119332 * tau] + 6.1e-10 * cos[0.55428968913 + 7082.8969751568 * tau] + 6.3e-10 * cos[5.20562384814 + 24606.13555322 * tau] + 6.4e-10 * cos[4.04058406722 + 3945.4621674046 * tau] + 6.0e-10 * cos[5.13953821352 + 1898.3339642874 * tau] + 6.0e-10 * cos[1.17940250396 + 97670.38771289718 * tau] + 6.4e-10 * cos[2.11869877898 + 3305.0496922312 * tau] + 6.1e-10 * cos[0.46897959303 + 1727.6610936682 * tau] + 6.1e-10 * cos[1.47350010728 + 1685.0521225016 * tau] + 7.5e-10 * cos[1.54177744365 + 1059.3991838414 * tau] + 7.9e-10 * cos[0.06487001849 + 6286.5989683404 * tau] + 6.1e-10 * cos[3.71171429905 + 1055.8588118402 * tau] + 6.6e-10 * cos[1.07137364271 + 1987.221898692 * tau] + 6.8e-10 * cos[3.06409889136 + 8446.9914788172 * tau] + 8.0e-10 * cos[5.85771861744 + 7747.7203305896 * tau] + 7.1e-10 * cos[0.36334330253 + 2619.4731954936 * tau] + 7.3e-10 * cos[5.69670871544 + 14687.3910473392 * tau] + 8.4e-10 * cos[4.50083253887 + 3738.7786837602 * tau] + 7.0e-10 * cos[4.36060455306 + 8436.6965380787 * tau] + 6.6e-10 * cos[0.65425879867 + 8219.4652893776 * tau] + 7.0e-10 * cos[0.96227192685 + 8428.8322315525 * tau] + 6.4e-10 * cos[0.98960038205 + 3376.1751611684 * tau] + 7.1e-10 * cos[0.65707804543 + 860.3099287528 * tau] + 6.4e-10 * cos[0.43216125634 + 1994.26813539 * tau] + 8.3e-10 * cos[3.79134493696 + 2472.6787626222 * tau] + 6.7e-10 * cos[0.33285041428 + 19645.5255567906 * tau] + 7.7e-10 * cos[5.89874180572 + 4307.5833041354 * tau] + 8.4e-10 * cos[2.47006028699 + 3738.7441764558 * tau] + 7.4e-10 * cos[1.24854309783 + 8027.5691447094 * tau] + 6.8e-10 * cos[2.69550405031 + 12725.453434775 * tau] + 7.4e-10 * cos[3.61959120765 + 7064.1041319706 * tau] + 6.7e-10 * cos[6.18148420146 + 3966.2826190122 * tau] + 9.0e-10 * cos[0.71593793107 + 3451.7990689874 * tau] + 7.1e-10 * cos[2.76410148218 + 15650.7937503106 * tau] + 6.7e-10 * cos[0.20258020424 + 27433.88921587499 * tau] + 6.7e-10 * cos[5.28035928877 + 8966.3875031733 * tau] + 8.6e-10 * cos[0.81171860574 + 209.775977089 * tau] + 8.6e-10 * cos[2.79273636804 + 367.2243289624 * tau] + 6.8e-10 * cos[2.68247854175 + 20213.25474333179 * tau] + 8.3e-10 * cos[1.82578570364 + 3511.285297319 * tau] + 6.7e-10 * cos[2.55451787747 + 11567.1912630782 * tau] + 6.7e-10 * cos[0.29712068423 + 12012.5822971404 * tau] + 7.7e-10 * cos[0.87794040199 + 2917.9463890869 * tau] + 6.8e-10 * cos[1.06108185791 + 191.3809558088 * tau] + 9.0e-10 * cos[2.61953849393 + 3346.6783423296 * tau] + 6.8e-10 * cos[1.56404561711 + 2398.5503647308 * tau] + 6.9e-10 * cos[0.33467954461 + 5.5229243074 * tau] + 6.8e-10 * cos[3.30993028662 + 4106.4054911462 * tau] + 7.1e-10 * cos[2.07963275673 + 1063.3140834523 * tau] + 8.1e-10 * cos[5.86817748181 + 3495.9655158312 * tau] + 7.3e-10 * cos[0.11725123446 + 10507.809332889 * tau] + 7.0e-10 * cos[0.07310763691 + 12839.8722887054 * tau] + 7.2e-10 * cos[3.86137692169 + 16762.4359954126 * tau] + 7.1e-10 * cos[1.16745785331 + 1574.8458012822 * tau] + 9.0e-10 * cos[1.46230169383 + 5092.169211768 * tau] + 7.6e-10 * cos[5.96038992872 + 3482.791053736 * tau] + 9.1e-10 * cos[5.12701600437 + 3392.8727416126 * tau] + 7.2e-10 * cos[0.84342376295 + 3334.54651107 * tau] + 7.3e-10 * cos[1.06048379839 + 3866.7802734454 * tau] + 9.6e-10 * cos[0.68069708134 + 10006.5848089144 * tau] + 8.5e-10 * cos[0.94196641948 + 2146.1826701274 * tau] + 9.0e-10 * cos[5.38224594245 + 2125.8100970764 * tau] + 7.6e-10 * cos[0.00928867041 + 6534.413166876 * tau] + 7.2e-10 * cos[5.14120362338 + 4665.5537672398 * tau] + 7.3e-10 * cos[2.86057567032 + 4960.6099964294 * tau] + 7.1e-10 * cos[4.9813032833 + 12942.965062924 * tau] + 8.0e-10 * cos[4.47918417138 + 12299.544658261 * tau] + 9.6e-10 * cos[5.71767221046 + 206.7007372966 * tau] + 7.3e-10 * cos[4.61913155968 + 3288.352111787 * tau] + 8.1e-10 * cos[5.4634074205 + 3856.0762977928 * tau] + 7.3e-10 * cos[3.28285909319 + 8830.9133882238 * tau] + 7.3e-10 * cos[4.9173008347 + 10787.6303445458 * tau] + 7.3e-10 * cos[1.65072742864 + 5452.2627400774 * tau] + 7.8e-10 * cos[0.17721609024 + 3391.89276456221 * tau] + 7.2e-10 * cos[0.24413748615 + 1324.94134054 * tau] + 1.01e-9 * cos[2.94847804254 + 12032.9376165392 * tau] + 7.4e-10 * cos[1.46907693289 + 11527.1250891924 * tau] + 8.5e-10 * cos[5.31472029744 + 4716.3862265456 * tau] + 7.4e-10 * cos[3.88658218247 + 25298.2931544468 * tau] + 7.5e-10 * cos[4.58345774133 + 9153.9036160218 * tau] + 7.8e-10 * cos[1.79565224435 + 3564.9572224017 * tau] + 7.4e-10 * cos[5.09669613096 + 9755.2302383776 * tau] + 8.4e-10 * cos[0.41493230617 + 4296.9015826704 * tau] + 9.1e-10 * cos[3.73152787182 + 2544.2971662312 * tau] + 9.2e-10 * cos[5.56705883046 + 27873.589010268 * tau] + 7.4e-10 * cos[2.2271663021 + 272.6729573516 * tau] + 9.2e-10 * cos[0.961730051 + 151.8972810852 * tau] + 1.01e-9 * cos[0.95332927487 + 8186.5126624926 * tau] + 7.4e-10 * cos[3.37882325472 + 8006.1661939396 * tau] + 9.6e-10 * cos[6.24132708357 + 11.0457002639 * tau] + 7.5e-10 * cos[5.19097428778 + 1055.4497769261 * tau] + 8.3e-10 * cos[4.42475849926 + 2060.8178540718 * tau] + 8.5e-10 * cos[5.1943801013 + 2146.148162823 * tau] + 1.01e-9 * cos[0.72388999452 + 48827.4311857326 * tau] + 7.8e-10 * cos[0.29690749181 + 10654.6210194126 * tau] + 7.5e-10 * cos[0.85784191736 + 28638.9055811466 * tau] + 7.7e-10 * cos[2.0594893001 + 12928.7379689224 * tau] + 9.8e-10 * cos[3.28574616663 + 3289.33208883739 * tau] + 7.6e-10 * cos[3.2000404072 + 7733.493236588 * tau] + 7.6e-10 * cos[3.92674885488 + 2910.0820825607 * tau] + 7.6e-10 * cos[3.03616461584 + 9993.3880926316 * tau] + 8.2e-10 * cos[2.4581289624 + 9815.6517316622 * tau] + 9.2e-10 * cos[2.80228448795 + 3707.8367556622 * tau] + 8.0e-10 * cos[5.80054348103 + 2751.01515718 * tau] + 8.1e-10 * cos[4.34306418828 + 10177.1903692308 * tau] + 9.8e-10 * cos[3.78877505378 + 3198.4337996636 * tau] + 8.9e-10 * cos[2.62080312892 + 24341.5283174566 * tau] + 1.00e-9 * cos[1.33498371324 + 9278.8472195668 * tau] + 8.1e-10 * cos[3.62204400197 + 12306.590894959 * tau] + 7.7e-10 * cos[1.45903147715 + 2544.3817301862 * tau] + 8.3e-10 * cos[4.28280129037 + 74923.09699802278 * tau] + 7.8e-10 * cos[2.01651247942 + 9124.9219860424 * tau] + 8.4e-10 * 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5618.3198048614 * tau] + 2.131e-8 * cos[3.02112533027 + 5625.3660415594 * tau] + 2.216e-8 * cos[1.06829128652 + 3320.257107301 * tau] + 1.961e-8 * cos[4.88521794174 + 3237.5196524812 * tau] + 1.996e-8 * cos[2.62541669265 + 20.7753954924 * tau] + 2.147e-8 * cos[0.089669876 + 13358.9265884502 * tau] + 2.139e-8 * cos[5.40620646615 + 266.6070417218 * tau] + 1.997e-8 * cos[2.77243710569 + 13936.794505134 * tau] + 2.031e-8 * cos[5.52057907797 + 10021.9045904022 * tau] + 2.347e-8 * cos[3.90795942709 + 3335.0895023924 * tau] + 2.106e-8 * cos[3.06229353931 + 19800.9459562248 * tau] + 2.176e-8 * cos[0.58632570025 + 162.4666361322 * tau] + 2.101e-8 * cos[2.84309138388 + 3415.3940252671 * tau] + 2.532e-8 * cos[5.3955008727 + 3863.1898447936 * tau] + 2.121e-8 * cos[4.87491216115 + 9830.3890139878 * tau] + 2.444e-8 * cos[1.92547995169 + 7799.9806455024 * tau] + 2.190e-8 * cos[6.18344448099 + 3346.1353510072 * tau] + 2.963e-8 * cos[0.23381699914 + 20597.2439630412 * tau] + 2.371e-8 * cos[4.75067664712 + 103.0927742186 * tau] + 2.318e-8 * cos[1.69214259672 + 3914.9572250346 * tau] + 2.336e-8 * cos[3.24847913311 + 4672.6673142406 * tau] + 2.938e-8 * cos[5.68402398615 + 6158.6474353058 * tau] + 2.617e-8 * cos[2.65526535627 + 8329.671610597 * tau] + 2.487e-8 * cos[3.87703916286 + 1861.7458526354 * tau] + 2.716e-8 * cos[6.10377796874 + 3973.396166013 * tau] + 2.821e-8 * cos[5.91845472246 + 12964.300703391 * tau] + 2.743e-8 * cos[1.09492569851 + 536.8045120954 * tau] + 2.711e-8 * cos[2.38275660721 + 2648.454825473 * tau] + 2.711e-8 * cos[2.69244730345 + 3178.1457905676 * tau] + 2.809e-8 * cos[4.76933217397 + 1964.838626854 * tau] + 2.738e-8 * cos[5.49768261369 + 149.5631971346 * tau] + 3.863e-8 * cos[3.48188264725 + 20618.0193585336 * tau] + 3.225e-8 * cos[2.29832592489 + 3312.163239232 * tau] + 2.902e-8 * cos[5.30666239739 + 8955.3418029094 * tau] + 2.813e-8 * cos[1.68598843422 + 2391.43681773 * tau] + 3.612e-8 * cos[3.68140265686 + 5724.935697429 * tau] + 3.813e-8 * cos[0.8027448743 + 13517.8701062334 * tau] + 3.124e-8 * cos[5.44069658195 + 6048.4411140864 * tau] + 3.312e-8 * cos[5.83174680245 + 5331.3574437408 * tau] + 3.373e-8 * cos[5.50812408522 + 23384.2869868986 * tau] + 2.892e-8 * cos[1.915149207 + 12935.8515159232 * tau] + 3.634e-8 * cos[5.55063049451 + 632.7837393132 * tau] + 3.111e-8 * cos[1.65445053349 + 20199.094959633 * tau] + 3.743e-8 * cos[4.25458024187 + 6261.7402095244 * tau] + 4.205e-8 * cos[1.9053227917 + 263.0839233728 * tau] + 3.991e-8 * cos[3.8286783691 + 3355.8648978848 * tau] + 3.201e-8 * cos[3.36492925275 + 2384.3232707292 * tau] + 4.138e-8 * cos[4.39568891039 + 3074.005384978 * tau] + 3.313e-8 * cos[3.12853663982 + 17277.4069318338 * tau] + 3.603e-8 * cos[0.15469852619 + 2178.137722292 * tau] + 4.008e-8 * cos[1.33675167812 + 6247.5131155228 * tau] + 3.510e-8 * cos[1.18027333874 + 10184.3039162316 * tau] + 3.319e-8 * cos[1.77193665786 + 3116.2676309979 * tau] + 4.062e-8 * cos[5.46935175827 + 3120.199784261 * tau] + 4.392e-8 * cos[0.81931997702 + 3302.479391062 * tau] + 3.623e-8 * cos[2.91544991631 + 6682.2051744678 * tau] + 3.350e-8 * cos[2.72637081667 + 7875.6718636242 * tau] + 3.931e-8 * cos[1.98436570971 + 8969.568896911 * tau] + 3.654e-8 * cos[1.58063207414 + 6680.2445323314 * tau] + 3.643e-8 * cos[2.95318600206 + 6144.4203413042 * tau] + 3.992e-8 * cos[1.8442476803 + 3134.4268782626 * tau] + 3.864e-8 * cos[0.37957291785 + 10177.2576795336 * tau] + 4.258e-8 * cos[2.7909014579 + 3503.079062832 * tau] + 4.683e-8 * cos[3.05668892586 + 5518.7501489918 * tau] + 3.766e-8 * cos[0.27090392616 + 17395.2197347258 * tau] + 3.863e-8 * cos[1.2305080393 + 16858.4825329332 * tau] + 3.898e-8 * cos[1.4878243479 + 9168.6408983474 * tau] + 4.449e-8 * cos[5.56764082611 + 16865.5287696312 * tau] + 5.394e-8 * cos[5.21695066244 + 5305.4510535538 * tau] + 4.127e-8 * cos[5.48538052912 + 2699.7348193176 * tau] + 5.134e-8 * cos[1.28568358496 + 8439.8779318164 * tau] + 5.366e-8 * cos[5.08043436437 + 2707.8286873866 * tau] + 4.330e-8 * cos[3.10901365758 + 4569.574540022 * tau] + 4.511e-8 * cos[5.94511266539 + 6894.5239488376 * tau] + 5.329e-8 * cos[4.55145599182 + 1744.4259844152 * tau] + 6.205e-8 * cos[4.48164856516 + 22747.2907148744 * tau] + 6.189e-8 * cos[4.58996159356 + 6531.661656265 * tau] + 4.522e-8 * cos[1.44218620352 + 3369.0616141676 * tau] + 5.136e-8 * cos[1.57259709878 + 6525.8044539654 * tau] + 4.724e-8 * cos[5.77956037309 + 9808.5381846614 * tau] + 4.661e-8 * cos[5.15051711401 + 1066.49547719 * tau] + 5.032e-8 * cos[2.33696685608 + 1052.2683831884 * tau] + 4.734e-8 * cos[0.00755678425 + 3325.3599555148 * tau] + 6.328e-8 * cos[3.31896726895 + 3767.2106175758 * tau] + 5.005e-8 * cos[4.68382632238 + 522.5774180938 * tau] + 6.826e-8 * cos[4.69327545839 + 17654.7805397496 * tau] + 5.536e-8 * cos[5.74996063243 + 12168.0026965746 * tau] + 5.530e-8 * cos[6.06408145092 + 10419.9862835076 * tau] + 6.479e-8 * cos[2.74267498287 + 7740.6067835888 * tau] + 5.249e-8 * cos[2.70122358603 + 4459.3682188026 * tau] + 6.257e-8 * cos[4.50450768937 + 8425.6508378148 * tau] + 5.671e-8 * cos[0.1365030666 + 13524.9163429314 * tau] + 6.169e-8 * cos[1.56992114335 + 10021.8200264472 * tau] + 6.168e-8 * cos[3.60069207439 + 10021.8545337516 * tau] + 8.193e-8 * cos[5.24811458833 + 10575.4066829418 * tau] + 6.226e-8 * cos[6.10683955669 + 17256.6315363414 * tau] + 6.130e-8 * cos[0.00117252232 + 6836.6452528338 * tau] + 6.529e-8 * cos[6.1192925271 + 135.0650800354 * tau] + 6.402e-8 * cos[4.19806996774 + 5202.3582793352 * tau] + 7.426e-8 * cos[6.09656283295 + 3583.3410306738 * tau] + 6.958e-8 * cos[3.32193127272 + 3230.4061054804 * tau] + 7.912e-8 * cos[2.81294761885 + 15643.6802033098 * tau] + 7.545e-8 * cos[5.68031160782 + 13916.0191096416 * tau] + 7.371e-8 * cos[0.84378341481 + 692.1576012268 * tau] + 8.277e-8 * cos[0.94860765546 + 2906.900688823 * tau] + 1.0224e-7 * cos[2.66497189021 + 2487.4160449478 * tau] + 7.957e-8 * cos[3.92331072722 + 2921.1277828246 * tau] + 7.833e-8 * cos[2.04997447879 + 1758.6530784168 * tau] + 8.324e-8 * cos[1.93694866513 + 1648.4467571974 * tau] + 8.982e-8 * cos[1.98501418026 + 15113.9892382152 * tau] + 8.970e-8 * cos[4.18326774405 + 9225.539273283 * tau] + 8.990e-8 * cos[0.96463418322 + 4933.2084403326 * tau] + 1.1902e-7 * cos[0.79897698904 + 3265.8308281325 * tau] + 1.0065e-7 * cos[5.37506605762 + 5085.038411115 * tau] + 1.0061e-7 * cos[0.78907665448 + 9381.9399937854 * tau] + 1.0051e-7 * cos[2.45102946726 + 4929.6853219836 * tau] + 1.0240e-7 * cos[5.74758340632 + 242.728603974 * tau] + 1.1030e-7 * cos[0.4454170644 + 10213.285546211 * tau] + 1.1154e-7 * cos[0.23859830185 + 12832.7587417046 * tau] + 1.0609e-7 * cos[1.73997337551 + 639.897286314 * tau] + 1.1886e-7 * cos[4.82057654742 + 7234.794256242 * tau] + 1.1767e-7 * cos[3.22897247987 + 5828.0284716476 * tau] + 1.1830e-7 * cos[0.19684525299 + 3475.6775067352 * tau] + 1.6659e-7 * cos[4.52130808861 + 6674.1113063988 * tau] + 1.3734e-7 * cos[1.68629769646 + 3337.021998048 * tau] + 1.6451e-7 * cos[2.86641622696 + 14712.317116458 * tau] + 1.3113e-7 * cos[4.27490214998 + 14314.1681130498 * tau] + 1.7238e-7 * cos[3.67067776368 + 3205.5473466644 * tau] + 1.5410e-7 * cos[2.2077350796 + 2118.7638603784 * tau] + 1.3423e-7 * cos[2.12818658793 + 3344.2028553516 * tau] + 1.7163e-7 * cos[3.18825562972 + 3347.7259737006 * tau] + 1.9099e-7 * cos[0.22623441108 + 13745.3462390224 * tau] + 1.5104e-7 * cos[2.65433427561 + 2787.0430238574 * tau] + 1.9495e-7 * cos[6.03778234182 + 10018.3141617504 * tau] + 1.6500e-7 * cos[4.14061745086 + 7477.522860216 * tau] + 1.9661e-7 * cos[1.86285979 + 3443.7052009184 * tau] + 1.9913e-7 * cos[2.7351844595 + 5099.2655051166 * tau] + 1.5977e-7 * cos[4.58368417141 + 3264.3463554242 * tau] + 1.8585e-7 * cos[4.07325116588 + 2388.8940204492 * tau] + 1.6291e-7 * cos[6.28233085307 + 7210.9158184942 * tau] + 1.6267e-7 * cos[1.92321585819 + 7373.3824546264 * tau] + 2.1027e-7 * cos[2.38474290907 + 4989.0591838972 * tau] + 1.6052e-7 * cos[0.92823508003 + 14584.2982731206 * tau] + 1.6488e-7 * cos[3.84534700818 + 10973.55568635 * tau] + 1.7049e-7 * cos[6.15528099726 + 10404.7338123226 * tau] + 1.8005e-7 * cos[2.81431094394 + 4032.7700279266 * tau] + 2.0585e-7 * cos[2.98697279083 + 3361.3878221922 * tau] + 2.2791e-7 * cos[3.41709388606 + 7632.9432596502 * tau] + 1.7094e-7 * cos[1.55004739305 + 2957.7158944766 * tau] + 2.1260e-7 * cos[6.19160142215 + 14054.607308026 * tau] + 2.0392e-7 * cos[4.53637816869 + 6489.776587288 * tau] + 1.8193e-7 * cos[5.61307426173 + 7.1135470008 * tau] + 1.8330e-7 * cos[5.7956732424 + 7064.1213856228 * tau] + 1.9364e-7 * cos[5.59378382138 + 6681.1575430968 * tau] + 1.9122e-7 * cos[5.41968559451 + 10025.3603984484 * tau] + 1.9365e-7 * cos[5.18528750472 + 6681.2921637024 * tau] + 2.4732e-7 * cos[2.58034797703 + 2803.8079146044 * tau] + 2.3359e-7 * cos[6.01453778225 + 3496.032826134 * tau] + 2.4772e-7 * cos[5.38970742761 + 2818.035008606 * tau] + 2.2070e-7 * cos[0.85747723964 + 3319.8370312074 * tau] + 2.5159e-7 * cos[0.81355213242 + 10713.9948813262 * tau] + 2.7543e-7 * cos[1.57668567401 + 9595.2390892234 * tau] + 3.3065e-7 * cos[0.85467740581 + 553.5694028424 * tau] + 2.7904e-7 * cos[4.25805969214 + 3191.0492295652 * tau] + 2.6166e-7 * cos[5.58466944895 + 9623.6882766912 * tau] + 3.1972e-7 * cos[1.93970478412 + 382.8965322232 * tau] + 2.9350e-7 * cos[4.06034813442 + 3097.88382272579 * tau] + 3.1870e-7 * cos[4.37521442752 + 3.523118349 * tau] + 3.2259e-7 * cos[2.38215172582 + 4535.0594369244 * tau] + 3.0345e-7 * cos[2.4417767013 + 11371.7046897582 * tau] + 3.1943e-7 * cos[4.59258406791 + 2274.1169495098 * tau] + 3.9237e-7 * cos[1.24237122859 + 3339.6321056316 * tau] + 4.3256e-7 * cos[1.03732072925 + 11769.8536931664 * tau] + 3.3623e-7 * cos[5.17029029766 + 20043.6745601988 * tau] + 4.4292e-7 * cos[5.0034136685 + 5614.7293762096 * tau] + 4.2191e-7 * cos[1.6325374276 + 5628.9564702112 * tau] + 3.5265e-7 * cos[5.49029710802 + 1990.745017041 * tau] + 3.5980e-7 * cos[1.15966567007 + 2288.3440435114 * tau] + 3.6435e-7 * cos[4.43921812388 + 3894.1818295422 * tau] + 4.5414e-7 * cos[5.43290921705 + 6467.9257579616 * tau] + 4.8939e-7 * cos[5.61614696751 + 3553.9115221378 * tau] + 5.1561e-7 * cos[5.72326937712 + 7079.3738568078 * tau] + 3.8956e-7 * cos[2.57760416009 + 3341.592747768 * tau] + 4.2444e-7 * cos[2.26551590902 + 155.4203994342 * tau] + 5.8959e-7 * cos[1.23165502899 + 6681.2075997474 * tau] + 4.4629e-7 * cos[2.0147364039 + 8031.0922630584 * tau] + 5.8959e-7 * cos[3.26242666052 + 6681.2421070518 * tau] + 5.5686e-7 * cos[5.44686699242 + 3723.508958923 * tau] + 5.2418e-7 * cos[3.02366828926 + 4292.3308329504 * tau] + 5.4989e-7 * cos[5.72691385306 + 951.7184062506 * tau] + 5.5811e-7 * cos[1.23288325946 + 3185.1920272656 * tau] + 6.6509e-7 * cos[2.21307705185 + 6041.3275670856 * tau] + 6.2015e-7 * cos[1.10065866221 + 1221.8485663214 * tau] + 5.8559e-7 * cos[4.72052787516 + 213.299095438 * tau] + 6.8599e-7 * cos[2.40197828418 + 4399.994356889 * tau] + 6.3641e-7 * cos[2.67334126661 + 426.598190876 * tau] + 8.5312e-7 * cos[1.61621097912 + 4690.4798363586 * tau] + 7.1826e-7 * cos[2.47489899385 + 12303.06777661 * tau] + 8.6659e-7 * cos[1.74988330093 + 2700.7151403858 * tau] + 8.4470e-7 * cos[0.6227459311 + 1592.5960136328 * tau] + 8.3212e-7 * cos[0.61553380568 + 8429.2412664666 * tau] + 8.2498e-7 * cos[1.6222704459 + 11773.3768115154 * tau] + 0.00000111538 * cos[0.55339169625 + 11243.6858464208 * tau] + 0.00000128555 * cos[5.49883294915 + 8827.3902698748 * tau] + 0.00000102096 * cos[6.18138550087 + 9492.1463150048 * tau] + 0.00000118781 * cos[2.12178071222 + 1589.0728952838 * tau] + 0.00000114941 * cos[4.31745088059 + 1349.8674096588 * tau] + 0.00000141759 * cos[2.47790321309 + 4562.4609930212 * tau] + 0.0000013312 * cos[1.5391010671 + 7903.073419721 * tau] + 0.00000163534 * cos[3.79889068111 + 4136.9104335162 * tau] + 0.00000144286 * cos[0.21296012258 + 5088.6288397668 * tau] + 0.00000228128 * cos[3.2552902062 + 6872.6731195112 * tau] + 0.00000208336 * cos[4.84626442122 + 3340.6797370026 * tau] + 0.00000178613 * cos[4.18423025538 + 3333.498879699 * tau] + 0.00000175995 * cos[5.95341786369 + 3870.3033917944 * tau] + 0.00000186213 * cos[5.69871555748 + 6677.7017350506 * tau] + 0.00000182686 * cos[5.08062683355 + 6684.7479717486 * tau] + 0.0000022319 * cos[4.19861593779 + 3149.1641605882 * tau] + 0.00000239133 * cos[2.03669896238 + 1194.4470102246 * tau] + 0.00000275501 * cos[1.21767967781 + 6254.6266625236 * tau] + 0.00000275224 * cos[2.90818883832 + 1748.016413067 * tau] + 0.00000208333 * cos[5.25476080773 + 3340.545116397 * tau] + 0.00000269891 * cos[3.76394728622 + 5884.9268465832 * tau] + 0.00000219428 * cos[5.58340248784 + 191.4482661116 * tau] + 0.00000233827 * cos[5.10546492529 + 5486.777843175 * tau] + 0.00000279552 * cos[5.25749247548 + 6283.0758499914 * tau] + 0.00000283702 * cos[2.90692294913 + 3532.0606928114 * tau] + 0.00000348095 * cos[4.83219198908 + 16703.062133499 * tau] + 0.00000472776 * cos[5.19850457873 + 3127.3133312618 * tau] + 0.00000629976 * cos[1.28738135858 + 1751.539531416 * tau] + 0.00000526187 * cos[5.38292276228 + 3738.761430108 * tau] + 0.00000574352 * cos[0.82896196337 + 2914.0142358238 * tau] + 0.0000063314 * cos[2.92430448169 + 3340.629680352 * tau] + 0.00000725583 * cos[1.24516913473 + 8432.7643848156 * tau] + 0.00000633144 * cos[0.89353285018 + 3340.5951730476 * tau] + 0.0000069234 * cos[2.13378814785 + 8962.4553499102 * tau] + 0.0000074098 * cos[1.49906336892 + 2146.1654164752 * tau] + 0.0000079791 * cos[3.44839026172 + 796.2980068164 * tau] + 0.00000807348 * cos[2.10216647104 + 1059.3819301892 * tau] + 0.00000992252 * cos[5.83862401067 + 6151.533888305 * tau] + 0.00000899077 * cos[4.40790433994 + 529.6909650946 * tau] + 0.00001102828 * cos[5.0090826416 + 398.1490034082 * tau] + 0.00001167115 * cos[2.11261501155 + 5092.1519581158 * tau] + 0.00001960198 * cos[4.74249386323 + 3344.1355450488 * tau] + 0.00002484385 * cos[4.92545577893 + 2942.4634232916 * tau] + 0.00001999399 * cos[5.36059605227 + 3337.0893083508 * tau] + 0.00002306539 * cos[0.09081742493 + 2544.3144198834 * tau] + 0.0000382516 * cos[4.49407182408 + 13362.4497067992 * tau] + 0.00005523193 * cos[1.3643631888 + 2281.2304965106 * tau] + 0.00007485315 * cos[1.77238998069 + 5621.8429232104 * tau] + 0.00008109738 * cos[5.55958460165 + 2810.9214616052 * tau] + 0.00046179117 * cos[4.15595316284 + 10021.8372800994 * tau] + 0.00660776357 * cos[3.81783442097 + 6681.2248533996 * tau] + 0.14184953153 * cos[3.47971283519 + 3340.6124266998 * tau] + 1.53033488276 * cos[0.0 + 0.0 * tau]; R1 = 3.8e-10 * cos[0.73199792046 + 26084.0218062162 * tau] + 4.1e-10 * cos[4.26832466355 + 21000.9158907568 * tau] + 3.5e-10 * cos[0.10555289345 + 8742.0427074714 * tau] + 3.6e-10 * cos[3.37374689465 + 48429.2821823244 * tau] + 3.6e-10 * cos[1.80256389689 + 8756.269801473 * tau] + 4.1e-10 * cos[5.69294900686 + 26087.9031415742 * tau] + 3.6e-10 * cos[1.73681874925 + 3468.6312700372 * tau] + 3.8e-10 * cos[0.44080908793 + 24491.4257925834 * tau] + 3.7e-10 * cos[4.07496312186 + 8646.0634802536 * tau] + 5.0e-10 * cos[4.24170332288 + 7747.7203305896 * tau] + 4.2e-10 * cos[4.9787204146 + 13575.7488022372 * tau] + 3.7e-10 * cos[0.05572748092 + 21150.8133658836 * tau] + 3.7e-10 * cos[4.3465298512 + 3283.7140517642 * tau] + 3.9e-10 * cos[1.7142191987 + 7696.8878712838 * tau] + 3.7e-10 * cos[5.02115296017 + 11128.9760857842 * tau] + 4.7e-10 * cos[6.25707790441 + 24606.13555322 * tau] + 4.3e-10 * cos[5.28854105201 + 3274.1250177854 * tau] + 4.0e-10 * cos[0.06127203284 + 9947.0556815321 * tau] + 3.9e-10 * cos[3.85504465583 + 9945.5712088238 * tau] + 3.9e-10 * cos[4.57679716458 + 6901.6374958384 * tau] + 3.8e-10 * cos[3.65846461938 + 29698.2875113358 * tau] + 4.6e-10 * cos[2.86512929328 + 38650.173506199 * tau] + 4.5e-10 * cos[0.50053853542 + 14128.2427712456 * tau] + 4.5e-10 * cos[1.98725045807 + 1861.7458526354 * tau] + 4.3e-10 * cos[2.90976420757 + 6872.6731195112 * tau] + 3.9e-10 * cos[5.85791936573 + 846.0828347512 * tau] + 4.2e-10 * cos[2.26773068307 + 12729.665967486 * tau] + 4.6e-10 * cos[0.81640935106 + 45884.967762441 * tau] + 4.3e-10 * cos[4.17203713456 + 43340.6533425576 * tau] + 4.8e-10 * cos[4.82888746454 + 1835.3246176068 * tau] + 4.2e-10 * cos[2.08904552145 + 13363.4300278674 * tau] + 4.1e-10 * cos[5.04768364997 + 6571.0185321802 * tau] + 4.1e-10 * cos[5.42003026893 + 685.044054226 * tau] + 4.1e-10 * cos[1.24482327948 + 3212.5935833624 * tau] + 4.1e-10 * cos[2.51168269556 + 4186.695261451 * tau] + 5.3e-10 * cos[6.08293348275 + 3377.217792004 * tau] + 4.3e-10 * cos[4.77713978044 + 32124.36905223359 * tau] + 5.4e-10 * cos[2.46533302314 + 8186.5126624926 * tau] + 5.2e-10 * cos[4.09912687749 + 5835.1420186484 * tau] + 4.2e-10 * cos[4.94532732982 + 18052.9295431578 * tau] + 4.2e-10 * cos[0.75310918544 + 6357.7194367422 * tau] + 4.2e-10 * cos[0.28204510006 + 10001.48196070061 * tau] + 4.2e-10 * cos[5.05676915852 + 3397.5108016354 * tau] + 4.7e-10 * cos[1.33588473182 + 632.7837393132 * tau] + 4.4e-10 * cos[4.18397905503 + 8535.8571590342 * tau] + 4.2e-10 * cos[2.74826708762 + 14577.1847261198 * tau] + 5.1e-10 * cos[4.24292455428 + 792.7748884674 * tau] + 5.5e-10 * cos[4.38138154697 + 1478.8665740644 * tau] + 4.4e-10 * cos[4.02272101657 + 9389.0535407862 * tau] + 4.3e-10 * cos[0.69492704598 + 20995.3929664494 * tau] + 4.8e-10 * cos[5.02446939402 + 6645.1969867222 * tau] + 5.8e-10 * cos[5.58121433163 + 6643.0918177618 * tau] + 4.3e-10 * cos[1.23879381294 + 7218.029365495 * tau] + 4.5e-10 * cos[5.07966377852 + 3318.7615973734 * tau] + 5.2e-10 * cos[0.01971915447 + 8226.5788363784 * tau] + 4.8e-10 * cos[2.95878690387 + 11527.1250891924 * tau] + 4.9e-10 * cos[1.41657179779 + 2938.9403049426 * tau] + 5.9e-10 * cos[2.96261275062 + 14071.43950907579 * tau] + 6.4e-10 * cos[3.86219786087 + 18208.349942592 * tau] + 6.3e-10 * cos[1.01191427607 + 11769.8536931664 * tau] + 4.9e-10 * cos[1.19473362353 + 3448.2759506384 * tau] + 4.7e-10 * cos[5.15559748285 + 12012.5822971404 * tau] + 5.9e-10 * cos[1.69623653028 + 4025.6564809258 * tau] + 5.0e-10 * cos[2.52848298042 + 10448.4354709754 * tau] + 5.3e-10 * cos[4.87447079015 + 1485.9801210652 * tau] + 6.5e-10 * cos[5.11165617529 + 3113.1362939108 * tau] + 5.0e-10 * cos[2.96441858632 + 10037.0897512844 * tau] + 5.3e-10 * cos[1.29007833025 + 6652.7756659318 * tau] + 6.2e-10 * cos[0.57333106196 + 3171.0322435668 * tau] + 5.5e-10 * cos[5.7260754556 + 10706.8813343254 * tau] + 5.0e-10 * cos[3.17196717347 + 2111.6503133776 * tau] + 5.3e-10 * cos[4.16969434701 + 6106.8800550648 * tau] + 5.7e-10 * cos[6.13250399703 + 17085.9586657222 * tau] + 5.1e-10 * cos[1.64684042106 + 3472.1543883862 * tau] + 6.0e-10 * cos[5.86922287544 + 7447.017917846 * tau] + 5.4e-10 * cos[0.41070672545 + 18451.07854656599 * tau] + 5.3e-10 * cos[3.42679182927 + 14867.73751589219 * tau] + 6.8e-10 * cos[2.84271358352 + 16703.07938715119 * tau] + 6.1e-10 * cos[0.92427393171 + 17468.8551979454 * tau] + 7.2e-10 * cos[1.36121375974 + 10025.4277087512 * tau] + 5.4e-10 * cos[1.06826755543 + 8948.2282559086 * tau] + 5.8e-10 * cos[0.91631357427 + 10018.2468514476 * tau] + 6.3e-10 * cos[2.80175814276 + 16894.5103996106 * tau] + 5.4e-10 * cos[1.76917054114 + 3510.1926098328 * tau] + 7.1e-10 * cos[4.843810412 + 3289.33208883739 * tau] + 5.4e-10 * cos[4.8823066075 + 48300.16010269 * tau] + 6.3e-10 * cos[5.29505507594 + 17101.2111369072 * tau] + 5.9e-10 * cos[2.0292225638 + 45486.81875903279 * tau] + 5.4e-10 * cos[5.5431093749 + 2604.735913168 * tau] + 5.8e-10 * cos[1.73479637157 + 2409.249339848 * tau] + 5.6e-10 * cos[3.19997567622 + 4140.4335518652 * tau] + 6.8e-10 * cos[0.8121709197 + 16703.0448798468 * tau] + 5.6e-10 * cos[3.5935463928 + 7322.1024607818 * tau] + 7.0e-10 * cos[4.51699340219 + 16304.9131300908 * tau] + 6.0e-10 * cos[4.92798256747 + 3391.89276456221 * tau] + 5.8e-10 * cos[4.15993379336 + 1854.6323056346 * tau] + 6.9e-10 * cos[3.6257698172 + 15906.7641266826 * tau] + 5.9e-10 * cos[4.7474548172 + 16865.5287696312 * tau] + 6.1e-10 * cos[4.57446273568 + 2277.7073781616 * tau] + 6.9e-10 * cos[1.02371083242 + 6621.850991486 * tau] + 5.9e-10 * cos[2.9375514437 + 9886.772200064 * tau] + 6.1e-10 * cos[2.49066420507 + 4005.3684718298 * tau] + 7.2e-10 * cos[4.08555524166 + 3416.8784979754 * tau] + 6.0e-10 * cos[1.08971396071 + 10124.930054318 * tau] + 7.8e-10 * cos[2.18035217615 + 3232.9489027612 * tau] + 6.0e-10 * cos[1.98790201827 + 12199.9750023914 * tau] + 6.2e-10 * cos[5.72811519809 + 2008.557539159 * tau] + 7.6e-10 * cos[0.41820625869 + 5032.7780962022 * tau] + 6.2e-10 * cos[0.62454636835 + 6688.2710900976 * tau] + 6.2e-10 * cos[5.68207205878 + 4459.3682188026 * tau] + 6.3e-10 * cos[0.45029141698 + 6418.1409300268 * tau] + 8.3e-10 * cos[1.86067842148 + 931.3630868518 * tau] + 6.7e-10 * cos[2.22216014849 + 4845.9002357928 * tau] + 7.0e-10 * cos[5.11166911478 + 9485.032768004 * tau] + 6.4e-10 * cos[1.20215520018 + 38.1330356378 * tau] + 6.4e-10 * cos[1.07965886113 + 6944.3087767724 * tau] + 8.0e-10 * cos[1.02128994578 + 7321.1221397136 * tau] + 7.1e-10 * cos[3.82044323862 + 6578.132079181 * tau] + 6.5e-10 * cos[4.15810281695 + 3340.19235060619 * tau] + 6.4e-10 * cos[3.98415414793 + 3368.0139827966 * tau] + 6.5e-10 * cos[3.31422850411 + 6414.6178116778 * tau] + 6.5e-10 * cos[1.31079130285 + 23546.7536230308 * tau] + 7.6e-10 * cos[2.86128350856 + 8542.970706035 * tau] + 9.1e-10 * cos[2.95968633697 + 3326.3853326982 * tau] + 6.7e-10 * cos[4.4732887165 + 20206.141196331 * tau] + 9.4e-10 * cos[0.74502278458 + 5244.049239201 * tau] + 8.1e-10 * cos[4.64227979982 + 6947.8318951214 * tau] + 6.9e-10 * cos[1.01941228196 + 12295.9542296092 * tau] + 7.0e-10 * cos[2.69225539304 + 3296.8935143948 * tau] + 8.2e-10 * cos[0.7874018109 + 16276.463942623 * tau] + 7.3e-10 * cos[3.77377582806 + 28628.3362260996 * tau] + 8.6e-10 * cos[1.50107043029 + 5989.0672521728 * tau] + 7.2e-10 * cos[4.35767091893 + 21548.9623692918 * tau] + 8.3e-10 * cos[4.71804515025 + 14061.7208550268 * tau] + 7.2e-10 * cos[0.82629826575 + 7366.2689076256 * tau] + 7.5e-10 * cos[3.83222347813 + 39048.3225096072 * tau] + 8.0e-10 * cos[5.70272305344 + 10156.9023601348 * tau] + 7.7e-10 * cos[5.64501410813 + 3209.0704650134 * tau] + 7.3e-10 * cos[1.44980946324 + 5408.5438277724 * tau] + 7.6e-10 * cos[1.74030672711 + 6756.0064519669 * tau] + 7.3e-10 * cos[3.32824316241 + 9588.1255422226 * tau] + 7.8e-10 * cos[1.71095661489 + 3399.9862886134 * tau] + 7.3e-10 * cos[3.01106366205 + 206.1855484372 * tau] + 8.2e-10 * cos[6.04078010866 + 3760.097070575 * tau] + 1.01e-9 * cos[2.07923317336 + 15265.8865193004 * tau] + 7.9e-10 * cos[5.92142974185 + 6155.057006654 * tau] + 7.8e-10 * cos[2.01202524407 + 14421.8316369884 * tau] + 9.0e-10 * cos[4.55063359845 + 6701.5801727984 * tau] + 7.7e-10 * cos[4.92444879515 + 3229.4257844122 * tau] + 7.5e-10 * cos[6.1609589009 + 3370.0419352358 * tau] + 1.00e-9 * cos[6.02550501045 + 3313.210870603 * tau] + 9.5e-10 * cos[2.06299921822 + 6518.7582172674 * tau] + 9.3e-10 * cos[5.59480359619 + 3340.1825435731 * tau] + 9.1e-10 * cos[3.80728044706 + 2125.8774073792 * tau] + 7.6e-10 * cos[0.90799171644 + 2675.8563815698 * tau] + 9.5e-10 * cos[1.59916172961 + 4271.9755135516 * tau] + 7.8e-10 * cos[4.70533248161 + 24889.5747959916 * tau] + 8.0e-10 * cos[2.54327778068 + 6675.7019290922 * tau] + 9.8e-10 * cos[3.24856024758 + 25287.7237993998 * tau] + 8.5e-10 * cos[1.1858843064 + 6705.1032911474 * tau] + 7.8e-10 * cos[2.38080208142 + 13553.8979729108 * tau] + 1.08e-9 * cos[0.33314004399 + 6709.6740408674 * tau] + 9.3e-10 * cos[5.15512549422 + 3451.7990689874 * tau] + 8.1e-10 * cos[3.16562241132 + 52175.8062831484 * tau] + 1.01e-9 * cos[6.18535119914 + 5511.636601991 * tau] + 1.06e-9 * cos[1.61703818023 + 3774.3241645766 * tau] + 9.6e-10 * cos[5.49205832489 + 3427.9206312396 * tau] + 8.4e-10 * cos[3.92244493446 + 170.6728706192 * tau] + 8.5e-10 * cos[4.95060410388 + 7314.0085927128 * tau] + 8.4e-10 * cos[1.19439840758 + 3450.8187479192 * tau] + 9.3e-10 * cos[1.61394240489 + 3341.0423098265 * tau] + 1.18e-9 * cos[5.56523997231 + 2814.4445799542 * tau] + 1.19e-9 * cos[2.53709230647 + 3312.163239232 * tau] + 9.0e-10 * cos[5.47687082598 + 16699.53901514999 * tau] + 9.1e-10 * cos[1.66121998822 + 24150.080051345 * tau] + 8.7e-10 * cos[4.9269430907 + 1505.28780909299 * tau] + 1.20e-9 * cos[3.09344469205 + 6685.1061887576 * tau] + 9.2e-10 * cos[3.3316578619 + 2540.7913015344 * tau] + 8.7e-10 * cos[0.40376031248 + 2221.856634597 * tau] + 8.9e-10 * cos[0.70324117212 + 23.8784377478 * tau] + 9.4e-10 * cos[3.24872875047 + 6657.3464156518 * tau] + 8.9e-10 * cos[1.37925538521 + 74.7815985673 * tau] + 1.11e-9 * cos[3.91313035726 + 3311.18291816379 * tau] + 9.5e-10 * cos[2.15038299943 + 8013.2797409404 * tau] + 9.5e-10 * cos[5.69916785631 + 6717.252720077 * tau] + 8.9e-10 * cos[1.23714034226 + 20809.4676246452 * tau] + 9.4e-10 * cos[4.85202869277 + 14047.4937610252 * tau] + 9.0e-10 * cos[2.0153477417 + 22324.9050567094 * tau] + 1.07e-9 * cos[4.3665371608 + 6531.661656265 * tau] + 1.01e-9 * cos[1.51065535085 + 1062.9050485382 * tau] + 1.24e-9 * cos[0.82697196609 + 9638.9407478762 * tau] + 9.6e-10 * cos[1.63239207663 + 11925.2740926006 * tau] + 1.19e-9 * cos[4.94578003013 + 3443.7052009184 * tau] + 1.13e-9 * cos[1.7432394516 + 11610.9101753832 * tau] + 9.5e-10 * cos[2.32591017464 + 10028.9508271002 * tau] + 1.08e-9 * cos[4.3343889579 + 3490.1756238344 * tau] + 1.02e-9 * cos[5.38933965862 + 13892.1406718938 * tau] + 1.25e-9 * cos[3.71144870102 + 3873.8265101434 * tau] + 9.7e-10 * cos[0.30502193916 + 10014.7237330986 * tau] + 1.04e-9 * cos[0.04641040148 + 10001.061884607 * tau] + 1.00e-9 * cos[1.80839732601 + 6665.9723822146 * tau] + 1.07e-9 * cos[5.1500176439 + 956.2891559706 * tau] + 9.7e-10 * cos[1.55448890675 + 8799.988713778 * tau] + 1.00e-9 * cos[5.4554164858 + 3024.2205570432 * tau] + 9.7e-10 * cos[2.21618504638 + 10042.6126755918 * tau] + 9.8e-10 * cos[4.54292546461 + 3362.4632560262 * tau] + 1.17e-9 * cos[2.97177407391 + 9602.3526362242 * tau] + 1.30e-9 * cos[3.04769575195 + 3341.0325027934 * tau] + 1.38e-9 * cos[3.04361079523 + 3329.97576135 * tau] + 1.02e-9 * cos[2.55243872323 + 664.75604513 * tau] + 1.05e-9 * cos[1.1383323428 + 1162.4747044078 * tau] + 1.00e-9 * cos[4.08698733114 + 3511.285297319 * tau] + 1.04e-9 * cos[5.07527834174 + 23141.5583829246 * tau] + 1.05e-9 * cos[1.21018340855 + 8584.6616659008 * tau] + 1.07e-9 * cos[4.82345245872 + 13362.3823964964 * tau] + 1.07e-9 * cos[2.03274473347 + 25685.872802808 * tau] + 1.15e-9 * cos[3.01754571849 + 1118.7557921028 * tau] + 1.05e-9 * cos[5.87122793977 + 4193.8088084518 * tau] + 1.24e-9 * cos[1.13870545502 + 2807.3983432562 * tau] + 1.11e-9 * cos[2.47771615302 + 18606.4989460002 * tau] + 1.43e-9 * cos[0.92798026058 + 5401.4302807716 * tau] + 1.46e-9 * cos[2.36972522432 + 4989.0591838972 * tau] + 1.08e-9 * cos[5.30086016687 + 10264.5658840734 * tau] + 1.12e-9 * cos[3.50979462224 + 1375.7737998458 * tau] + 1.10e-9 * cos[0.26402316132 + 3077.528503327 * tau] + 1.15e-9 * cos[0.23672592056 + 224.3447957019 * tau] + 1.24e-9 * cos[5.80386208894 + 10721.108428327 * tau] + 1.17e-9 * cos[0.67607782416 + 13207.029307365 * tau] + 1.14e-9 * cos[0.36704570747 + 3384.3313390048 * tau] + 1.26e-9 * cos[4.43971496486 + 3568.0885594888 * tau] + 1.15e-9 * cos[5.78268772131 + 12722.5524204852 * tau] + 1.34e-9 * cos[4.49208622602 + 2480.302497947 * tau] + 1.51e-9 * cos[4.38870879458 + 13362.517017102 * tau] + 1.23e-9 * cos[4.65853055862 + 13149.1506113612 * tau] + 1.19e-9 * cos[3.93419985914 + 4936.7988689844 * tau] + 1.21e-9 * cos[5.75886629308 + 19513.9835951042 * tau] + 1.47e-9 * cos[5.86576524955 + 3169.9395560806 * tau] + 1.22e-9 * cos[2.92219895926 + 21947.1113727 * tau] + 1.18e-9 * cos[0.22641710036 + 11766.2632645146 * tau] + 1.34e-9 * cos[1.98845453946 + 8965.9784682592 * tau] + 1.20e-9 * cos[6.04299490267 + 6606.4432548323 * tau] + 1.21e-9 * cos[1.75813513715 + 4379.6390374902 * tau] + 1.72e-9 * cos[0.23189971635 + 12323.4230960088 * tau] + 1.38e-9 * cos[1.92770959208 + 15.252471185 * tau] + 1.49e-9 * cos[3.49118810274 + 14158.7477136156 * tau] + 1.44e-9 * cos[1.88085102951 + 9468.267877257 * tau] + 1.29e-9 * cos[4.46548223743 + 9499.2598620056 * tau] + 1.60e-9 * cos[0.68321924763 + 6475.0393049624 * tau] + 1.36e-9 * cos[3.68877945956 + 13171.0014406876 * tau] + 1.67e-9 * cos[3.43007767272 + 1581.959348283 * tau] + 1.29e-9 * cos[0.94520493983 + 419.4846438752 * tau] + 1.65e-9 * cos[2.74557093704 + 4672.6673142406 * tau] + 1.70e-9 * cos[5.54401695608 + 3265.8308281325 * tau] + 1.34e-9 * cos[0.86682710306 + 3603.6963500726 * tau] + 1.52e-9 * cos[4.88528890547 + 110.2063212194 * tau] + 1.39e-9 * cos[4.12056692213 + 3351.2490920496 * tau] + 1.38e-9 * cos[2.74151377335 + 6546.1597733642 * tau] + 1.45e-9 * cos[0.71777671857 + 6784.3176276182 * tau] + 1.41e-9 * cos[1.75571255457 + 3657.0042963564 * tau] + 1.75e-9 * cos[1.66915420767 + 22345.2603761082 * tau] + 1.88e-9 * cos[2.96688973732 + 2178.137722292 * tau] + 1.46e-9 * cos[4.76067886088 + 16706.585251848 * tau] + 1.60e-9 * cos[0.24157324936 + 11614.4332937322 * tau] + 1.44e-9 * cos[0.12285484149 + 647.0108333148 * tau] + 1.50e-9 * cos[0.23529641094 + 1228.9621133222 * tau] + 1.44e-9 * cos[0.86629692094 + 7380.4960016272 * tau] + 1.73e-9 * cos[3.76291627342 + 3561.0250691386 * tau] + 1.44e-9 * cos[1.30886254982 + 6460.8122109608 * tau] + 1.62e-9 * cos[1.2723539268 + 5415.6573747732 * tau] + 1.54e-9 * cos[2.64640687885 + 3333.5661900018 * tau] + 1.78e-9 * cos[3.53665589741 + 533.2140834436 * tau] + 1.91e-9 * cos[1.74459210202 + 10022.8176011676 * tau] + 1.57e-9 * cos[4.91614155659 + 15508.6151232744 * tau] + 1.55e-9 * cos[3.51854579269 + 7373.3824546264 * tau] + 1.56e-9 * cos[6.12783235584 + 103.0927742186 * tau] + 1.78e-9 * cos[1.65162116131 + 10713.9948813262 * tau] + 1.54e-9 * cos[3.33525296567 + 9070.1188738488 * tau] + 1.77e-9 * cos[2.14779710666 + 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tau] + 2.901e-8 * cos[4.66281989264 + 7210.9158184942 * tau] + 3.944e-8 * cos[0.53974754515 + 5884.9268465832 * tau] + 3.923e-8 * cos[3.07703531632 + 3.523118349 * tau] + 3.911e-8 * cos[0.67451768877 + 3127.3133312618 * tau] + 3.975e-8 * cos[4.91288592965 + 2942.4634232916 * tau] + 3.016e-8 * cos[3.73838855125 + 6681.2921637024 * tau] + 3.747e-8 * cos[0.08778985966 + 6525.8044539654 * tau] + 3.621e-8 * cos[5.76532393672 + 4933.2084403326 * tau] + 3.837e-8 * cos[0.03343295627 + 7234.794256242 * tau] + 4.004e-8 * cos[4.14067157211 + 9623.6882766912 * tau] + 5.486e-8 * cos[4.91408093456 + 7632.9432596502 * tau] + 4.733e-8 * cos[0.9056002634 + 5099.2655051166 * tau] + 5.460e-8 * cos[4.60874445963 + 3583.3410306738 * tau] + 4.591e-8 * cos[1.81986278078 + 2810.9214616052 * tau] + 6.526e-8 * cos[2.76281601349 + 3339.6321056316 * tau] + 6.261e-8 * cos[1.60056695152 + 3347.7259737006 * tau] + 5.241e-8 * cos[2.6709379505 + 7477.522860216 * tau] + 6.261e-8 * cos[1.90346469972 + 5621.8429232104 * tau] + 5.132e-8 * cos[3.98288453952 + 7.1135470008 * tau] + 5.991e-8 * cos[2.96408254428 + 6489.776587288 * tau] + 5.344e-8 * cos[3.78220670098 + 5092.1519581158 * tau] + 5.732e-8 * cos[3.13956241764 + 213.299095438 * tau] + 7.676e-8 * cos[1.00782250264 + 8432.7643848156 * tau] + 7.280e-8 * cos[4.26943100715 + 2803.8079146044 * tau] + 6.836e-8 * cos[4.04512263654 + 10025.3603984484 * tau] + 6.540e-8 * cos[2.11834687923 + 8429.2412664666 * tau] + 8.781e-8 * cos[2.19735028572 + 1221.8485663214 * tau] + 6.546e-8 * cos[0.04353472459 + 2957.7158944766 * tau] + 7.232e-8 * cos[3.70287400141 + 2818.035008606 * tau] + 6.702e-8 * cos[4.25572879119 + 242.728603974 * tau] + 9.159e-8 * cos[3.9015859055 + 3553.9115221378 * tau] + 7.087e-8 * cos[3.51414944377 + 8031.0922630584 * tau] + 6.771e-8 * cos[0.23987737854 + 11773.3768115154 * tau] + 9.026e-8 * cos[2.58210941053 + 2388.8940204492 * tau] + 9.195e-8 * cos[6.06945250657 + 6681.2075997474 * tau] + 7.751e-8 * cos[4.15046998466 + 6041.3275670856 * tau] + 9.195e-8 * cos[1.81689739851 + 6681.2421070518 * tau] + 7.879e-8 * cos[5.7380886179 + 2288.3440435114 * tau] + 8.586e-8 * cos[1.16471901139 + 2787.0430238574 * tau] + 9.765e-8 * cos[3.45310940204 + 382.8965322232 * tau] + 1.2215e-7 * cos[4.22316056098 + 7079.3738568078 * tau] + 1.0345e-7 * cos[0.9006246469 + 4535.0594369244 * tau] + 1.1208e-7 * cos[1.31750963435 + 3496.032826134 * tau] + 1.0384e-7 * cos[1.23257236014 + 426.598190876 * tau] + 1.1827e-7 * cos[6.25283898676 + 2274.1169495098 * tau] + 1.2747e-7 * cos[0.69046314049 + 3723.508958923 * tau] + 1.2408e-7 * cos[6.23142869816 + 5628.9564702112 * tau] + 1.1272e-7 * cos[1.02375627844 + 12303.06777661 * tau] + 1.3169e-7 * cos[0.41461716663 + 5614.7293762096 * tau] + 1.6171e-7 * cos[2.34870953554 + 553.5694028424 * tau] + 1.6463e-7 * cos[3.53882915214 + 2700.7151403858 * tau] + 1.2492e-7 * cos[1.03211063742 + 3341.592747768 * tau] + 1.3010e-7 * cos[5.14230107067 + 6677.7017350506 * tau] + 1.6528e-7 * cos[0.96752074938 + 4399.994356889 * tau] + 1.4259e-7 * cos[3.99897353022 + 1990.745017041 * tau] + 1.6251e-7 * cos[3.39910907599 + 3340.6797370026 * tau] + 1.4699e-7 * cos[5.95325006816 + 3894.1818295422 * tau] + 2.0428e-7 * cos[3.13540712557 + 4690.4798363586 * tau] + 1.5746e-7 * cos[3.72356090283 + 20043.6745601988 * tau] + 1.5755e-7 * cos[4.75736730681 + 9492.1463150048 * tau] + 1.6850e-7 * cos[4.53690440252 + 4292.3308329504 * tau] + 1.6803e-7 * cos[5.54857987615 + 3097.88382272579 * tau] + 1.6251e-7 * cos[3.80760134974 + 3340.545116397 * tau] + 1.8237e-7 * cos[0.41328624131 + 5486.777843175 * tau] + 1.7956e-7 * cos[4.21930481803 + 3870.3033917944 * tau] + 2.1631e-7 * cos[4.56895741061 + 3532.0606928114 * tau] + 2.1304e-7 * cos[0.78049229782 + 1589.0728952838 * tau] + 2.1708e-7 * cos[3.83571581352 + 6283.0758499914 * tau] + 2.2324e-7 * cos[0.9393204073 + 951.7184062506 * tau] + 2.2804e-7 * cos[1.74830773908 + 5088.6288397668 * tau] + 2.4300e-7 * cos[3.75843924498 + 155.4203994342 * tau] + 2.7244e-7 * cos[5.41367977087 + 1592.5960136328 * tau] + 3.8953e-7 * cos[2.31900090554 + 4136.9104335162 * tau] + 3.1115e-7 * cos[0.9783250696 + 191.4482661116 * tau] + 3.6036e-7 * cos[5.89508336048 + 3333.498879699 * tau] + 3.7176e-7 * cos[5.81439911546 + 1349.8674096588 * tau] + 3.6384e-7 * cos[6.02728752344 + 3185.1920272656 * tau] + 4.8318e-7 * cos[2.58061691301 + 3149.1641605882 * tau] + 5.7518e-7 * cos[0.54354327916 + 1194.4470102246 * tau] + 4.9424e-7 * cos[1.47717922226 + 3340.629680352 * tau] + 4.9428e-7 * cos[5.72959428364 + 3340.5951730476 * tau] + 4.7863e-7 * cos[2.28527896843 + 2914.0142358238 * tau] + 6.6430e-7 * cos[4.40597549957 + 1748.016413067 * tau] + 5.1035e-7 * cos[3.72585409207 + 6684.7479717486 * tau] + 5.4314e-7 * cos[0.67750943459 + 8962.4553499102 * tau] + 6.6542e-7 * cos[2.54892602695 + 1751.539531416 * tau] + 7.1999e-7 * cos[2.7644218068 + 529.6909650946 * tau] + 7.5598e-7 * cos[4.45101839349 + 6151.533888305 * tau] + 8.3026e-7 * cos[3.85574986653 + 3738.761430108 * tau] + 8.7537e-7 * cos[3.42052758979 + 398.1490034082 * tau] + 0.00000128362 * cos[6.04343360441 + 3337.0893083508 * tau] + 0.00000118443 * cos[2.99761345074 + 2146.1654164752 * tau] + 0.00000127068 * cos[1.9538977574 + 796.2980068164 * tau] + 0.00000128204 * cos[0.6299122057 + 1059.3819301892 * tau] + 0.0000013585 * cos[3.38507017993 + 16703.062133499 * tau] + 0.00000182572 * cos[1.58428644001 + 2544.3144198834 * tau] + 0.00000395698 * cos[3.42324611291 + 3344.1355450488 * tau] + 0.00000438579 * cos[2.88835072628 + 2281.2304965106 * tau] + 0.0000119455 * cos[3.04702182503 + 13362.4497067992 * tau] + 0.0001081588 * cos[2.70888093803 + 10021.8372800994 * tau] + 0.000128772 * cos[0.0 + 0.0 * tau] + 0.00103175886 * cos[2.37071845682 + 6681.2248533996 * tau] + 0.0110743334 * cos[2.0325052495 + 3340.6124266998 * tau]; R2 = 2.4e-10 * cos[4.96463811748 + 26087.9031415742 * tau] + 2.5e-10 * cos[1.40880282063 + 8186.5126624926 * tau] + 2.4e-10 * cos[4.12573657295 + 4193.8088084518 * tau] + 2.5e-10 * cos[5.63712701265 + 14054.607308026 * tau] + 2.7e-10 * cos[4.98717355201 + 3877.4169387952 * tau] + 2.4e-10 * cos[4.35557152695 + 14584.2982731206 * tau] + 2.4e-10 * cos[4.473991556 + 3134.4268782626 * tau] + 2.6e-10 * cos[5.06814803493 + 17412.0519357756 * tau] + 2.8e-10 * cos[0.80926596905 + 20735.83216142559 * tau] + 2.6e-10 * cos[5.12847780702 + 11766.2632645146 * tau] + 2.6e-10 * cos[4.32703172263 + 17085.9586657222 * tau] + 2.7e-10 * cos[2.25129832716 + 76.2660712756 * tau] + 2.8e-10 * cos[1.89792803028 + 3333.5661900018 * tau] + 3.3e-10 * cos[5.15903548241 + 10596.1820784342 * tau] + 2.6e-10 * cos[2.22598820379 + 3.523118349 * tau] + 2.9e-10 * cos[5.85207825749 + 31172.650645983 * tau] + 2.8e-10 * cos[0.58104982217 + 20354.5153590672 * tau] + 3.6e-10 * cos[3.33518515689 + 29978.2036357584 * tau] + 2.7e-10 * cos[2.53565904393 + 19004.6479494084 * tau] + 3.2e-10 * cos[4.04390839531 + 6680.2445323314 * tau] + 2.8e-10 * cos[2.80254457895 + 3607.2194684216 * tau] + 3.2e-10 * cos[1.72704226918 + 12566.1516999828 * tau] + 3.6e-10 * cos[1.16568750904 + 18052.9295431578 * tau] + 2.8e-10 * cos[3.12114207206 + 11925.2740926006 * tau] + 2.9e-10 * cos[2.66198696023 + 12295.9542296092 * tau] + 3.0e-10 * cos[0.0159945685 + 11243.6858464208 * tau] + 3.4e-10 * cos[3.71030605417 + 8827.3902698748 * tau] + 3.0e-10 * cos[3.75494646937 + 4845.9002357928 * tau] + 3.0e-10 * cos[4.87389489592 + 1692.1656695024 * tau] + 3.1e-10 * cos[4.27211180916 + 36659.428489158 * tau] + 3.0e-10 * cos[5.09155042811 + 5085.038411115 * tau] + 3.8e-10 * cos[5.91991985929 + 3336.7310913418 * tau] + 3.5e-10 * cos[5.50083743557 + 8425.6508378148 * tau] + 4.0e-10 * cos[5.8446306918 + 16460.33352952499 * tau] + 3.2e-10 * cos[4.13881058425 + 31570.7996493912 * tau] + 3.3e-10 * cos[5.41731109688 + 20597.2439630412 * tau] + 4.3e-10 * cos[1.50296327105 + 27035.7402124668 * tau] + 3.2e-10 * cos[2.92741580696 + 9499.2598620056 * tau] + 4.3e-10 * cos[1.73832102244 + 12323.4230960088 * tau] + 4.6e-10 * cos[4.99457196207 + 9381.9399937854 * tau] + 4.3e-10 * cos[0.95148893985 + 34115.1140692746 * tau] + 3.3e-10 * cos[4.92302322062 + 23141.5583829246 * tau] + 3.5e-10 * cos[0.84358942718 + 6518.7582172674 * tau] + 3.8e-10 * cos[2.22559377525 + 3503.079062832 * tau] + 4.7e-10 * cos[2.60317702777 + 162.4666361322 * tau] + 3.7e-10 * cos[5.80483071722 + 6684.8152820514 * tau] + 3.8e-10 * cos[1.81885395671 + 14158.7477136156 * tau] + 4.6e-10 * cos[3.09450395763 + 6701.5801727984 * tau] + 3.6e-10 * cos[2.68151450016 + 8584.6616659008 * tau] + 3.5e-10 * cos[5.30782933148 + 6677.6344247478 * tau] + 3.8e-10 * cos[2.11846271943 + 15664.03552270859 * tau] + 4.9e-10 * cos[5.44942247991 + 9638.9407478762 * tau] + 4.8e-10 * cos[1.42210748234 + 3316.733988952 * tau] + 4.1e-10 * cos[0.55705920174 + 3346.1353510072 * tau] + 3.9e-10 * cos[3.15412760412 + 14469.588512484 * tau] + 3.7e-10 * cos[5.27208151144 + 20752.6643624754 * tau] + 4.1e-10 * cos[5.54542347834 + 3863.1898447936 * tau] + 3.9e-10 * cos[3.79055778605 + 33318.8160624582 * tau] + 3.8e-10 * cos[0.59996214864 + 10713.9948813262 * tau] + 4.0e-10 * cos[1.06953099245 + 23695.127785767 * tau] + 4.3e-10 * cos[0.38914582094 + 6665.9723822146 * tau] + 4.9e-10 * cos[4.43182954044 + 9595.2390892234 * tau] + 4.5e-10 * cos[2.03598705348 + 5244.049239201 * tau] + 4.7e-10 * cos[1.97367775421 + 1581.959348283 * tau] + 5.5e-10 * cos[3.8021563852 + 3376.6402933772 * tau] + 4.3e-10 * cos[4.97295184315 + 3337.021998048 * tau] + 4.0e-10 * cos[1.58676666294 + 2818.035008606 * tau] + 4.2e-10 * cos[4.74455545491 + 3369.0616141676 * tau] + 5.5e-10 * cos[6.26098836404 + 3361.3878221922 * tau] + 4.5e-10 * cos[1.49303542795 + 6247.5131155228 * tau] + 4.6e-10 * cos[3.07783299049 + 12722.5524204852 * tau] + 4.9e-10 * cos[5.57153056447 + 17468.8551979454 * tau] + 5.6e-10 * cos[3.87534582911 + 6816.289933435 * tau] + 4.2e-10 * cos[5.40417232308 + 3344.2028553516 * tau] + 5.5e-10 * cos[5.93371026829 + 8439.8779318164 * tau] + 4.3e-10 * cos[0.15523355839 + 1505.28780909299 * tau] + 5.8e-10 * cos[4.51680312444 + 6660.4494579072 * tau] + 4.4e-10 * cos[5.21252098878 + 7373.3824546264 * tau] + 4.3e-10 * cos[3.10581037685 + 10235.1363755374 * tau] + 4.4e-10 * cos[0.75508636274 + 16062.1845261168 * tau] + 4.4e-10 * cos[5.78502737591 + 3364.4908644476 * tau] + 5.4e-10 * cos[0.21682940856 + 10022.8176011676 * tau] + 5.0e-10 * cos[2.41332661328 + 4407.1079038898 * tau] + 4.4e-10 * cos[0.79762157297 + 7107.8230442756 * tau] + 5.0e-10 * cos[0.15378507249 + 2648.454825473 * tau] + 5.3e-10 * cos[0.35820094732 + 9468.267877257 * tau] + 4.9e-10 * cos[0.33200904496 + 6702.000248892 * tau] + 4.6e-10 * cos[3.04980996832 + 6144.4203413042 * tau] + 5.0e-10 * cos[1.83471955355 + 30376.3526391666 * tau] + 6.0e-10 * cos[3.40554368741 + 10551.528245194 * tau] + 4.9e-10 * cos[3.40240207389 + 3304.5845600224 * tau] + 4.7e-10 * cos[0.48598973231 + 17395.2197347258 * tau] + 4.9e-10 * cos[2.91499389416 + 10404.7338123226 * tau] + 5.3e-10 * cos[1.27330874549 + 3344.4937620578 * tau] + 5.9e-10 * cos[0.27861398526 + 9225.539273283 * tau] + 5.0e-10 * cos[6.1011945035 + 3253.30422216 * tau] + 4.9e-10 * cos[0.72597680486 + 10028.9508271002 * tau] + 6.7e-10 * cos[2.26295786556 + 2766.267628365 * tau] + 4.9e-10 * cos[2.8177305089 + 9808.5381846614 * tau] + 4.9e-10 * cos[2.35512151368 + 4032.7700279266 * tau] + 5.3e-10 * cos[2.1282634402 + 13171.0014406876 * tau] + 5.0e-10 * cos[0.23368526162 + 4379.6390374902 * tau] + 5.1e-10 * cos[5.45351947711 + 13207.029307365 * tau] + 5.5e-10 * cos[5.03192783121 + 7255.5696517344 * tau] + 6.9e-10 * cos[2.42905593362 + 6158.6474353058 * tau] + 5.3e-10 * cos[0.31930032532 + 12721.572099417 * tau] + 5.5e-10 * cos[4.74995645767 + 6660.8695340008 * tau] + 6.7e-10 * cos[0.5859281308 + 3335.0895023924 * tau] + 6.6e-10 * cos[6.25810929981 + 8270.2977486834 * tau] + 6.3e-10 * cos[3.53402427573 + 3205.5473466644 * tau] + 5.4e-10 * cos[2.36294643031 + 33716.9650658664 * tau] + 5.4e-10 * cos[3.77562154746 + 10213.285546211 * tau] + 5.6e-10 * cos[5.49808236951 + 24093.2767891752 * tau] + 5.5e-10 * cos[1.31787605222 + 8982.810669309 * tau] + 5.7e-10 * cos[0.86204712032 + 5642.1982426092 * tau] + 5.6e-10 * cos[5.37129176649 + 5099.2655051166 * tau] + 6.2e-10 * cos[3.98214740104 + 3427.9206312396 * tau] + 5.6e-10 * cos[1.18238857561 + 6696.4773245846 * tau] + 5.5e-10 * cos[5.72587156499 + 433.7117378768 * tau] + 5.6e-10 * cos[1.88708253797 + 9070.1188738488 * tau] + 5.8e-10 * cos[5.22738430747 + 13362.432453147 * tau] + 6.3e-10 * cos[0.24407077742 + 18984.2926300096 * tau] + 5.8e-10 * cos[6.10782258899 + 5459.3762870782 * tau] + 6.0e-10 * cos[2.26503107747 + 28628.3362260996 * tau] + 6.8e-10 * cos[2.07515658228 + 1596.1864422846 * tau] + 6.0e-10 * cos[4.79879360562 + 1437.1756141986 * tau] + 5.9e-10 * cos[3.80850908229 + 10264.5658840734 * tau] + 6.1e-10 * cos[2.56817782412 + 149.5631971346 * tau] + 6.4e-10 * cos[3.99294283669 + 13358.9265884502 * tau] + 8.0e-10 * cos[6.18812323827 + 9380.9596727172 * tau] + 7.4e-10 * cos[2.99926779692 + 10021.7699697966 * tau] + 6.2e-10 * cos[0.15518975647 + 11081.2192102886 * tau] + 7.3e-10 * cos[3.94785759909 + 16173.3711684044 * tau] + 7.6e-10 * cos[0.12288413214 + 11216.284290324 * tau] + 6.8e-10 * cos[5.27435069681 + 3980.5097130138 * tau] + 6.6e-10 * cos[3.48443797546 + 13760.5987102074 * tau] + 7.0e-10 * cos[2.38237948321 + 13916.0191096416 * tau] + 6.9e-10 * cos[2.53964193741 + 5884.9268465832 * tau] + 6.8e-10 * cos[3.24217441291 + 16706.585251848 * tau] + 6.8e-10 * cos[4.69140248943 + 522.5774180938 * tau] + 7.1e-10 * cos[0.9842299824 + 13362.4669604514 * tau] + 7.0e-10 * cos[5.37678396256 + 12310.1813236108 * tau] + 7.3e-10 * cos[4.09954161905 + 3319.8370312074 * tau] + 7.5e-10 * cos[2.57969241717 + 10021.9045904022 * tau] + 7.3e-10 * cos[5.01153593776 + 1903.4368125012 * tau] + 7.5e-10 * cos[1.31512531841 + 17924.9106998204 * tau] + 9.0e-10 * cos[3.00950470302 + 12964.300703391 * tau] + 7.9e-10 * cos[5.9151499393 + 6040.3472460174 * tau] + 7.8e-10 * cos[2.98115354616 + 26724.8994135984 * tau] + 8.9e-10 * cos[2.50872076312 + 1052.2683831884 * tau] + 7.8e-10 * cos[0.95802015551 + 3191.0492295652 * tau] + 9.9e-10 * cos[3.61425346453 + 853.196381752 * tau] + 1.04e-9 * cos[5.90078964406 + 8432.7643848156 * tau] + 8.9e-10 * cos[5.73652101746 + 11371.7046897582 * tau] + 1.06e-9 * cos[3.76804681559 + 13517.8701062334 * tau] + 8.7e-10 * cos[5.24375873119 + 13119.72110282519 * tau] + 9.3e-10 * cos[3.21464368291 + 8671.9698704406 * tau] + 1.01e-9 * cos[2.91169549546 + 692.1576012268 * tau] + 9.6e-10 * cos[3.52561014696 + 3475.6775067352 * tau] + 1.06e-9 * cos[5.41622566807 + 15113.9892382152 * tau] + 1.01e-9 * cos[4.10670787374 + 536.8045120954 * tau] + 9.2e-10 * cos[4.98392367746 + 9779.1086761254 * tau] + 1.14e-9 * cos[0.65681602343 + 3178.1457905676 * tau] + 9.5e-10 * cos[1.31957248342 + 7903.073419721 * tau] + 1.30e-9 * cos[4.4177719083 + 3320.257107301 * tau] + 1.04e-9 * cos[0.07355376701 + 3325.3599555148 * tau] + 1.29e-9 * cos[2.26678583645 + 6467.9257579616 * tau] + 1.20e-9 * cos[0.31762150109 + 3127.3133312618 * tau] + 1.24e-9 * cos[1.63253732557 + 6674.1113063988 * tau] + 1.28e-9 * cos[0.84461423001 + 3355.8648978848 * tau] + 1.16e-9 * cos[2.78191248964 + 3360.96774609859 * tau] + 1.28e-9 * cos[1.69206367749 + 3981.490034082 * tau] + 1.24e-9 * cos[0.67855210339 + 6438.4962494256 * tau] + 1.63e-9 * cos[4.66507592292 + 8273.8208670324 * tau] + 1.65e-9 * cos[6.15952050903 + 15643.6802033098 * tau] + 1.37e-9 * cos[2.09492296067 + 1066.49547719 * tau] + 1.51e-9 * cos[1.2227289229 + 574.3447983348 * tau] + 1.47e-9 * cos[0.36939961702 + 6688.3384004004 * tau] + 1.49e-9 * cos[6.26524493469 + 1039.0266107904 * tau] + 1.59e-9 * cos[2.6898068485 + 6894.5239488376 * tau] + 1.61e-9 * cos[5.1768386138 + 6298.3283211764 * tau] + 1.80e-9 * cos[5.21088564787 + 9866.4168806652 * tau] + 1.55e-9 * cos[1.78776991092 + 9830.3890139878 * tau] + 2.13e-9 * cos[0.15734917857 + 2942.4634232916 * tau] + 1.67e-9 * cos[4.74764434327 + 3914.9572250346 * tau] + 2.17e-9 * cos[2.93968443649 + 13365.9728251482 * tau] + 1.76e-9 * cos[4.91607557961 + 10021.8200264472 * tau] + 1.77e-9 * cos[0.66379705293 + 10021.8545337516 * tau] + 2.45e-9 * cos[2.17761779228 + 4562.4609930212 * tau] + 2.36e-9 * cos[1.98863774162 + 10575.4066829418 * tau] + 1.83e-9 * cos[1.68247271963 + 213.299095438 * tau] + 1.93e-9 * cos[0.58793888724 + 5828.0284716476 * tau] + 1.94e-9 * cos[2.45887376159 + 7064.1213856228 * tau] + 1.90e-9 * cos[2.42312911773 + 8955.3418029094 * tau] + 1.94e-9 * cos[1.57870686859 + 10818.1352869158 * tau] + 2.10e-9 * cos[0.57926734389 + 10973.55568635 * tau] + 2.06e-9 * cos[3.44453113177 + 10177.2576795336 * tau] + 2.05e-9 * cos[3.88943452829 + 10018.3141617504 * tau] + 2.26e-9 * cos[3.45305949713 + 6923.9534573736 * tau] + 2.35e-9 * cos[2.6243448155 + 6681.1575430968 * tau] + 2.54e-9 * cos[0.36603904729 + 3767.2106175758 * tau] + 2.89e-9 * cos[5.08223311018 + 2274.1169495098 * tau] + 3.17e-9 * cos[3.60634897209 + 2301.58581590939 * tau] + 2.35e-9 * cos[2.21413387615 + 6681.2921637024 * tau] + 3.02e-9 * cos[3.61490647715 + 12832.7587417046 * tau] + 2.88e-9 * cos[6.1357268768 + 6682.2051744678 * tau] + 2.56e-9 * cos[1.08862226474 + 2288.3440435114 * tau] + 2.73e-9 * cos[3.83181794308 + 8429.2412664666 * tau] + 2.59e-9 * cos[2.89786343627 + 7210.9158184942 * tau] + 2.78e-9 * cos[5.11654962157 + 11773.3768115154 * tau] + 2.82e-9 * cos[6.04069352017 + 7875.6718636242 * tau] + 2.97e-9 * cos[3.06763224975 + 10419.9862835076 * tau] + 2.97e-9 * cos[5.74070606294 + 6041.3275670856 * tau] + 3.03e-9 * cos[0.01918776551 + 6127.6554505572 * tau] + 3.19e-9 * cos[1.44545457475 + 5729.506447149 * tau] + 4.02e-9 * cos[2.84624835384 + 5331.3574437408 * tau] + 4.03e-9 * cos[4.96465831103 + 8969.568896911 * tau] + 3.26e-9 * cos[6.05498346093 + 2118.7638603784 * tau] + 3.52e-9 * cos[6.09567212646 + 7740.6067835888 * tau] + 3.29e-9 * cos[2.6595525877 + 9623.6882766912 * tau] + 3.42e-9 * cos[5.96338023755 + 4929.6853219836 * tau] + 4.49e-9 * cos[1.34123846614 + 640.8776073822 * tau] + 3.43e-9 * cos[4.71059403854 + 639.897286314 * tau] + 3.72e-9 * cos[6.27186983164 + 2487.4160449478 * tau] + 5.04e-9 * cos[2.59990772815 + 23384.2869868986 * tau] + 5.34e-9 * cos[4.25727954634 + 3339.6321056316 * tau] + 4.88e-9 * cos[3.08086378649 + 6836.6452528338 * tau] + 6.51e-9 * cos[0.1589747216 + 7632.9432596502 * tau] + 5.60e-9 * cos[5.05848353328 + 8031.0922630584 * tau] + 6.46e-9 * cos[1.83853693231 + 3340.6797370026 * tau] + 5.86e-9 * cos[3.30118433303 + 1221.8485663214 * tau] + 7.14e-9 * cos[4.54969883976 + 6681.2075997474 * tau] + 6.12e-9 * cos[1.55388376751 + 7234.794256242 * tau] + 8.28e-9 * cos[0.2286361767 + 3532.0606928114 * tau] + 7.14e-9 * cos[0.29739480601 + 6681.2421070518 * tau] + 6.53e-9 * cos[3.99043329363 + 6677.7017350506 * tau] + 6.46e-9 * cos[2.24669034469 + 3340.545116397 * tau] + 8.44e-9 * cos[2.2393196324 + 3553.9115221378 * tau] + 9.53e-9 * cos[2.11123497948 + 3870.3033917944 * tau] + 7.68e-9 * cos[2.06208352904 + 5486.777843175 * tau] + 7.06e-9 * cos[2.34131594714 + 7.1135470008 * tau] + 7.22e-9 * cos[4.26304776331 + 4933.2084403326 * tau] + 9.65e-9 * cos[3.39855816541 + 5621.8429232104 * tau] + 1.041e-8 * cos[6.27171470048 + 3347.7259737006 * tau] + 8.33e-9 * cos[1.17384197174 + 7477.522860216 * tau] + 9.17e-9 * cos[1.40295785881 + 6489.776587288 * tau] + 8.48e-9 * cos[2.26407047301 + 6283.0758499914 * tau] + 8.55e-9 * cos[5.96220147975 + 426.598190876 * tau] + 8.30e-9 * cos[2.01484544773 + 5092.1519581158 * tau] + 8.67e-9 * cos[2.20046640409 + 2699.7348193176 * tau] + 8.69e-9 * cos[5.81340811635 + 12303.06777661 * tau] + 1.202e-8 * cos[0.93472783088 + 2810.9214616052 * tau] + 1.404e-8 * cos[5.19056026479 + 2700.7151403858 * tau] + 1.224e-8 * cos[2.62012336714 + 10025.3603984484 * tau] + 1.433e-8 * cos[2.69734916443 + 7079.3738568078 * tau] + 1.349e-8 * cos[4.87573224485 + 6525.8044539654 * tau] + 1.196e-8 * cos[3.2672445892 + 9492.1463150048 * tau] + 1.475e-8 * cos[2.22707926559 + 3723.508958923 * tau] + 1.278e-8 * cos[4.82232889938 + 2957.7158944766 * tau] + 1.507e-8 * cos[4.95936409838 + 382.8965322232 * tau] + 1.985e-8 * cos[5.7585035184 + 4399.994356889 * tau] + 1.964e-8 * cos[3.10805316088 + 3583.3410306738 * tau] + 2.160e-8 * cos[1.07452599834 + 2388.8940204492 * tau] + 1.627e-8 * cos[5.67733051452 + 4535.0594369244 * tau] + 1.970e-8 * cos[6.20643855008 + 3340.629680352 * tau] + 1.970e-8 * cos[4.17480610904 + 3340.5951730476 * tau] + 2.413e-8 * cos[4.68291336853 + 4690.4798363586 * tau] + 1.812e-8 * cos[3.32042068028 + 5088.6288397668 * tau] + 1.835e-8 * cos[5.68592723044 + 1589.0728952838 * tau] + 1.999e-8 * cos[3.82349238481 + 2914.0142358238 * tau] + 1.996e-8 * cos[5.76429928131 + 3341.592747768 * tau] + 2.217e-8 * cos[1.85265984462 + 3337.0893083508 * tau] + 2.149e-8 * cos[2.74950075397 + 242.728603974 * tau] + 2.167e-8 * cos[5.36812435483 + 8962.4553499102 * tau] + 2.264e-8 * cos[2.56219866409 + 191.4482661116 * tau] + 2.395e-8 * cos[5.94175921617 + 2787.0430238574 * tau] + 2.700e-8 * cos[2.9213977335 + 3496.032826134 * tau] + 2.657e-8 * cos[6.07411629964 + 4292.3308329504 * tau] + 2.820e-8 * cos[2.48683324916 + 1990.745017041 * tau] + 3.850e-8 * cos[3.86055626689 + 553.5694028424 * tau] + 2.906e-8 * cos[1.20295377623 + 3894.1818295422 * tau] + 3.057e-8 * cos[4.55276793064 + 5628.9564702112 * tau] + 2.979e-8 * cos[2.86481008776 + 6151.533888305 * tau] + 2.916e-8 * cos[1.19337460559 + 529.6909650946 * tau] + 3.622e-8 * cos[1.32395191387 + 3333.498879699 * tau] + 3.201e-8 * cos[2.11657635165 + 5614.7293762096 * tau] + 4.585e-8 * cos[0.8078744174 + 4136.9104335162 * tau] + 3.377e-8 * cos[3.81683532672 + 1751.539531416 * tau] + 3.699e-8 * cos[2.26043707772 + 20043.6745601988 * tau] + 3.514e-8 * cos[1.85168391963 + 398.1490034082 * tau] + 4.286e-8 * cos[3.89643520638 + 1592.5960136328 * tau] + 4.406e-8 * cos[2.45556303355 + 951.7184062506 * tau] + 5.391e-8 * cos[1.00223256041 + 3149.1641605882 * tau] + 4.695e-8 * cos[0.76880586144 + 3097.88382272579 * tau] + 6.749e-8 * cos[5.30194395749 + 1194.4470102246 * tau] + 5.840e-8 * cos[1.05191350362 + 1349.8674096588 * tau] + 7.785e-8 * cos[5.93369079547 + 1748.016413067 * tau] + 6.528e-8 * cos[2.30781369329 + 3738.761430108 * tau] + 6.808e-8 * cos[5.26702580055 + 155.4203994342 * tau] + 7.217e-8 * cos[2.29300859074 + 6684.7479717486 * tau] + 7.299e-8 * cos[3.14218509183 + 2544.3144198834 * tau] + 9.237e-8 * cos[4.53579272961 + 2146.1654164752 * tau] + 9.950e-8 * cos[0.41870577185 + 796.2980068164 * tau] + 1.0209e-7 * cos[5.39143469548 + 1059.3819301892 * tau] + 1.1713e-7 * cos[4.5251045373 + 3185.1920272656 * tau] + 1.7825e-7 * cos[4.43499505333 + 2281.2304965106 * tau] + 2.6616e-7 * cos[1.91665615762 + 16703.062133499 * tau] + 5.2396e-7 * cos[3.14159265359 + 0.0 * tau] + 4.0744e-7 * cos[1.9708017506 + 3344.1355450488 * tau] + 0.00000187387 * cos[1.57298991982 + 13362.4497067992 * tau] + 0.00001274915 * cos[1.22594050809 + 10021.8372800994 * tau] + 0.00008138042 * cos[0.86998398093 + 6681.2248533996 * tau] + 0.00044242247 * cos[0.47930603943 + 3340.6124266998 * tau]; R3 = 1.6e-10 * cos[5.28427106012 + 3333.498879699 * tau] + 1.6e-10 * cos[0.6538950344 + 3340.545116397 * tau] + 2.4e-10 * cos[4.42156401638 + 1748.016413067 * tau] + 2.0e-10 * cos[0.97539014916 + 6894.5239488376 * tau] + 1.8e-10 * cos[5.14428605713 + 6688.3384004004 * tau] + 1.8e-10 * cos[0.24542781929 + 3981.490034082 * tau] + 2.3e-10 * cos[3.25670295081 + 5621.8429232104 * tau] + 2.1e-10 * cos[2.6951214034 + 10018.3141617504 * tau] + 1.8e-10 * cos[1.07169297658 + 7210.9158184942 * tau] + 2.0e-10 * cos[0.19821371186 + 6674.1113063988 * tau] + 1.9e-10 * cos[1.00325306041 + 7064.1213856228 * tau] + 2.0e-10 * cos[0.36901153144 + 398.1490034082 * tau] + 2.2e-10 * cos[1.43966107077 + 26724.8994135984 * tau] + 2.6e-10 * cos[4.80509833364 + 7632.9432596502 * tau] + 2.4e-10 * cos[3.36621347824 + 8031.0922630584 * tau] + 2.7e-10 * cos[4.97107900859 + 3767.2106175758 * tau] + 2.7e-10 * cos[0.60053652251 + 3553.9115221378 * tau] + 2.4e-10 * cos[0.09987383242 + 382.8965322232 * tau] + 2.7e-10 * cos[1.03401737006 + 6681.1575430968 * tau] + 2.4e-10 * cos[0.07739730466 + 10818.1352869158 * tau] + 2.8e-10 * cos[3.70436008855 + 6298.3283211764 * tau] + 3.1e-10 * cos[5.73384204593 + 3339.6321056316 * tau] + 2.5e-10 * cos[0.17808889827 + 9830.3890139878 * tau] + 2.5e-10 * cos[2.94122791628 + 2544.3144198834 * tau] + 2.7e-10 * cos[1.18001479303 + 8955.3418029094 * tau] + 3.3e-10 * cos[2.00753799963 + 5884.9268465832 * tau] + 3.2e-10 * cos[5.31078691958 + 553.5694028424 * tau] + 3.0e-10 * cos[3.56389476096 + 8969.568896911 * tau] + 2.7e-10 * cos[0.62535799761 + 6681.2921637024 * tau] + 3.0e-10 * cos[3.06267495632 + 2281.2304965106 * tau] + 2.8e-10 * cos[0.72745302325 + 6283.0758499914 * tau] + 2.8e-10 * cos[4.81855060968 + 6836.6452528338 * tau] + 2.9e-10 * cos[3.41037097794 + 10021.8200264472 * tau] + 2.9e-10 * cos[5.44118048011 + 10021.8545337516 * tau] + 3.1e-10 * cos[1.25306164576 + 242.728603974 * tau] + 3.4e-10 * cos[3.03490000148 + 6681.2075997474 * tau] + 4.0e-10 * cos[1.31713176335 + 5331.3574437408 * tau] + 3.0e-10 * cos[1.57743012295 + 10419.9862835076 * tau] + 3.4e-10 * cos[2.7449907289 + 6677.7017350506 * tau] + 3.3e-10 * cos[4.52588149629 + 4929.6853219836 * tau] + 3.6e-10 * cos[0.29140871479 + 3723.508958923 * tau] + 4.2e-10 * cos[4.67024017441 + 15643.6802033098 * tau] + 3.4e-10 * cos[5.06671994554 + 6681.2421070518 * tau] + 3.2e-10 * cos[4.06047154083 + 3532.0606928114 * tau] + 3.3e-10 * cos[3.97655860802 + 191.4482661116 * tau] + 4.2e-10 * cos[2.11383330882 + 12832.7587417046 * tau] + 3.4e-10 * cos[4.50544497582 + 7875.6718636242 * tau] + 3.5e-10 * cos[2.450779319 + 2288.3440435114 * tau] + 3.5e-10 * cos[2.60772245492 + 4690.4798363586 * tau] + 4.0e-10 * cos[1.4739554485 + 13365.9728251482 * tau] + 3.7e-10 * cos[6.14629970622 + 5729.506447149 * tau] + 3.6e-10 * cos[3.15129246169 + 639.897286314 * tau] + 3.8e-10 * cos[4.60963924082 + 7740.6067835888 * tau] + 4.1e-10 * cos[4.60954640493 + 6682.2051744678 * tau] + 3.8e-10 * cos[1.06497784748 + 9623.6882766912 * tau] + 4.0e-10 * cos[0.73805316471 + 7.1135470008 * tau] + 4.5e-10 * cos[6.244852075 + 2274.1169495098 * tau] + 4.4e-10 * cos[4.47943289816 + 426.598190876 * tau] + 5.0e-10 * cos[4.60885064189 + 3340.629680352 * tau] + 4.3e-10 * cos[3.43955584179 + 5486.777843175 * tau] + 4.2e-10 * cos[6.15391373101 + 7234.794256242 * tau] + 4.8e-10 * cos[3.72532068729 + 9866.4168806652 * tau] + 5.0e-10 * cos[2.57807944338 + 3340.5951730476 * tau] + 5.3e-10 * cos[4.77894621871 + 6127.6554505572 * tau] + 5.5e-10 * cos[2.75742802464 + 4933.2084403326 * tau] + 7.4e-10 * cos[4.72156358149 + 3347.7259737006 * tau] + 6.0e-10 * cos[4.30641513096 + 12303.06777661 * tau] + 6.2e-10 * cos[1.93984222091 + 6923.9534573736 * tau] + 6.6e-10 * cos[1.12578506413 + 6151.533888305 * tau] + 6.7e-10 * cos[0.1509224655 + 3870.3033917944 * tau] + 6.2e-10 * cos[4.14954627063 + 4292.3308329504 * tau] + 7.0e-10 * cos[3.67253155189 + 8962.4553499102 * tau] + 6.8e-10 * cos[1.70775041911 + 9492.1463150048 * tau] + 7.8e-10 * cos[5.93418069229 + 7477.522860216 * tau] + 7.5e-10 * cos[6.02182689533 + 529.6909650946 * tau] + 9.8e-10 * cos[1.12613498307 + 23384.2869868986 * tau] + 1.01e-9 * cos[1.17242141914 + 7079.3738568078 * tau] + 9.1e-10 * cos[6.12108227231 + 6489.776587288 * tau] + 1.00e-9 * cos[4.26740096115 + 1589.0728952838 * tau] + 1.46e-9 * cos[4.25359617225 + 4399.994356889 * tau] + 1.45e-9 * cos[3.02112488974 + 3337.0893083508 * tau] + 1.36e-9 * cos[5.58293924642 + 3894.1818295422 * tau] + 1.59e-9 * cos[3.76174286126 + 1194.4470102246 * tau] + 1.56e-9 * cos[1.13805508457 + 10025.3603984484 * tau] + 1.46e-9 * cos[3.29541339704 + 2957.7158944766 * tau] + 1.56e-9 * cos[5.13345210285 + 796.2980068164 * tau] + 1.60e-9 * cos[4.14974194757 + 4535.0594369244 * tau] + 2.30e-9 * cos[5.82959057146 + 2388.8940204492 * tau] + 2.04e-9 * cos[0.96723315302 + 1990.745017041 * tau] + 2.01e-9 * cos[2.35284464564 + 1592.5960136328 * tau] + 2.14e-9 * cos[0.56779556947 + 155.4203994342 * tau] + 2.12e-9 * cos[4.20487494011 + 3341.592747768 * tau] + 2.33e-9 * cos[2.13965262306 + 3097.88382272579 * tau] + 3.14e-9 * cos[3.37632898783 + 6525.8044539654 * tau] + 3.50e-9 * cos[5.55691984889 + 4136.9104335162 * tau] + 2.99e-9 * cos[0.75640033535 + 3738.761430108 * tau] + 3.97e-9 * cos[5.71967986581 + 3149.1641605882 * tau] + 3.62e-9 * cos[4.42397903418 + 2787.0430238574 * tau] + 4.87e-9 * cos[1.60862391345 + 3583.3410306738 * tau] + 4.68e-9 * cos[4.52450786544 + 3496.032826134 * tau] + 5.77e-9 * cos[0.7785327512 + 20043.6745601988 * tau] + 5.40e-9 * cos[3.86836515672 + 1059.3819301892 * tau] + 6.88e-9 * cos[0.80693359444 + 6684.7479717486 * tau] + 2.428e-8 * cos[3.02115527957 + 3185.1920272656 * tau] + 2.869e-8 * cos[0.44711842697 + 3344.1355450488 * tau] + 4.693e-8 * cos[3.14159265359 + 0.0 * tau] + 3.477e-8 * cos[0.42951907576 + 16703.062133499 * tau] + 1.9606e-7 * cos[0.07633062094 + 13362.4497067992 * tau] + 0.00000100044 * cos[5.99726827028 + 10021.8372800994 * tau] + 0.00000424446 * cos[5.61343766478 + 6681.2248533996 * tau] + 0.00001113107 * cos[5.14987350142 + 3340.6124266998 * tau]; R4 = 1.1e-10 * cos[5.47381242145 + 3738.761430108 * tau] + 1.4e-10 * cos[0.76591550754 + 3894.1818295422 * tau] + 1.3e-10 * cos[4.51988349676 + 6489.776587288 * tau] + 1.3e-10 * cos[2.75813969974 + 6836.6452528338 * tau] + 1.6e-10 * cos[2.64206771227 + 4399.994356889 * tau] + 1.3e-10 * cos[2.22938285522 + 9866.4168806652 * tau] + 1.2e-10 * cos[3.27945299261 + 6127.6554505572 * tau] + 1.2e-10 * cos[0.51097435253 + 6923.9534573736 * tau] + 1.7e-10 * cos[5.9485641469 + 10025.3603984484 * tau] + 1.3e-10 * cos[1.97805475719 + 155.4203994342 * tau] + 1.8e-10 * cos[4.1743875589 + 3149.1641605882 * tau] + 2.1e-10 * cos[4.03682122005 + 4136.9104335162 * tau] + 2.1e-10 * cos[2.30677637991 + 1059.3819301892 * tau] + 3.4e-10 * cos[3.63370917313 + 3097.88382272579 * tau] + 5.7e-10 * cos[1.86867280743 + 6525.8044539654 * tau] + 4.9e-10 * cos[5.5703851483 + 6684.7479717486 * tau] + 4.8e-10 * cos[2.91797786512 + 2787.0430238574 * tau] + 7.0e-10 * cos[5.55303619365 + 20043.6745601988 * tau] + 8.7e-10 * cos[0.10275067375 + 3583.3410306738 * tau] + 1.48e-9 * cos[0.0 + 0.0 * tau] + 1.25e-9 * cos[2.19233532803 + 3496.032826134 * tau] + 1.51e-9 * cos[5.16472931648 + 3344.1355450488 * tau] + 3.39e-9 * cos[5.20684967613 + 16703.062133499 * tau] + 3.75e-9 * cos[1.50962233608 + 3185.1920272656 * tau] + 1.532e-8 * cos[4.84374321619 + 13362.4497067992 * tau] + 5.848e-8 * cos[4.46383962094 + 10021.8372800994 * tau] + 1.6323e-7 * cos[4.05116076923 + 6681.2248533996 * tau] + 1.9552e-7 * cos[3.58211650473 + 3340.6124266998 * tau]; R5 = 1.2e-10 * cos[3.14159265359 + 0.0 * tau] + 1.2e-10 * cos[4.88179002689 + 3583.3410306738 * tau] + 1.3e-10 * cos[3.72005807206 + 3496.032826134 * tau] + 2.7e-10 * cos[3.69380877066 + 16703.062133499 * tau] + 4.8e-10 * cos[6.27457828287 + 3185.1920272656 * tau] + 9.6e-10 * cos[3.31378377179 + 13362.4497067992 * tau] + 1.15e-9 * cos[1.76888962311 + 3340.6124266998 * tau] + 2.68e-9 * cos[2.91510547706 + 10021.8372800994 * tau] + 4.76e-9 * cos[2.47617204701 + 6681.2248533996 * tau]; L = ((L0 + L1 tau + L2 tau^2 + L3 tau^3 + L4 tau^4 + L5 tau^5) radians) mod circle B = ((B0 + B1 tau + B2 tau^2 + B3 tau^3 + B4 tau^4 + B5 tau^5) radians) mod circle R = (R0 + R1 tau + R2 tau^2 + R3 tau^3 + R4 tau^4 + R5 tau^5) au return [L, B, R] } // // Jupiter // // This function calculates the heliocentric coordinates of Jupiter // referred to the mean equinox *of the date*. You may want to convert this // to another coordinate system, such as FK5. // // arguments: // d: the date/time to be calculated for // // returns: // [L, B, R] // // Where // L is the heliocentric longitude, // B is the heliocentric latitude // R is the distance from the sun. class var JupiterHeliocentricCoordinates = {|d| tau = meeusT[d] / 10 L0 = 7.9e-10 * cos[2.9060220289 + 2114.8317071153 * tau] + 8.5e-10 * cos[1.86831145784 + 25028.521211385 * tau] + 7.6e-10 * cos[3.62264327413 + 782.3469364478 * tau] + 8.4e-10 * cos[5.04765104413 + 1160.027023853 * tau] + 7.7e-10 * cos[0.85066773729 + 537.5552716208 * tau] + 9.8e-10 * cos[1.42815294497 + 757.2171545342 * tau] + 9.6e-10 * cos[0.33631035749 + 1090.4014188262 * tau] + 7.8e-10 * cos[0.76677000862 + 525.5463635104 * tau] + 7.8e-10 * cos[0.0646149621 + 521.8266585684 * tau] + 8.3e-10 * cos[2.55427333923 + 1059.5943785103 * tau] + 1.01e-9 * cos[0.29639798579 + 857.1285350151 * tau] + 9.7e-10 * cos[4.27398311206 + 9676.4810341156 * tau] + 9.7e-10 * cos[0.87886975916 + 9690.7081281172 * tau] + 7.9e-10 * cos[3.4668810234 + 1077.5411774539 * tau] + 8.3e-10 * cos[4.16314675511 + 849.2642284889 * tau] + 8.3e-10 * cos[0.62963097974 + 528.4671248172 * tau] + 8.5e-10 * cos[3.22094000094 + 1553.6481726317 * tau] + 8.3e-10 * cos[0.06930748288 + 530.914805372 * tau] + 8.6e-10 * cos[1.37568728263 + 970.5162499722 * tau] + 1.01e-9 * cos[1.88318822518 + 528.7971932173 * tau] + 8.6e-10 * cos[2.28711702506 + 2498.8916283384 * tau] + 1.07e-9 * cos[1.58724086516 + 1069.6768709277 * tau] + 1.02e-9 * cos[0.26948040239 + 450.9772132642 * tau] + 1.01e-9 * cos[5.09893554462 + 530.5847369719 * tau] + 1.17e-9 * cos[5.42449214711 + 986.0848043302 * tau] + 1.04e-9 * cos[0.44849170648 + 1128.534454464 * tau] + 1.20e-9 * cos[5.39001411803 + 1059.5419888836 * tau] + 1.04e-9 * cos[0.89730746841 + 531.1272536931 * tau] + 1.19e-9 * cos[1.06475523307 + 527.9940440652 * tau] + 1.04e-9 * cos[6.08481630139 + 528.2546764961 * tau] + 1.03e-9 * cos[4.75645235023 + 1226.2106027112 * tau] + 1.21e-9 * cos[0.58145552537 + 5621.8429232104 * tau] + 1.20e-9 * cos[2.29717714347 + 1059.2218714948 * tau] + 1.22e-9 * cos[1.34377059565 + 446.3113468182 * tau] + 1.38e-9 * cos[3.18511244397 + 707.5653378805 * tau] + 1.35e-9 * cos[5.26601313643 + 1065.0110044817 * tau] + 1.18e-9 * cos[5.988105763 + 531.387886124 * tau] + 1.66e-9 * cos[3.12682515439 + 580.0935412737 * tau] + 1.35e-9 * cos[0.1283641777 + 991.7138786227 * tau] + 1.47e-9 * cos[2.65931838448 + 987.3086446076 * tau] + 1.51e-9 * cos[4.89507270899 + 532.3992780803 * tau] + 1.38e-9 * cos[2.23519776527 + 1176.7017984094 * tau] + 1.67e-9 * cos[5.73970282991 + 5760.4984318976 * tau] + 1.67e-9 * cos[2.85163087563 + 5746.271337896 * tau] + 1.37e-9 * cos[4.2233522197 + 1049.8207026336 * tau] + 1.93e-9 * cos[1.92287052164 + 1140.38330388 * tau] + 1.94e-9 * cos[5.13049187783 + 1818.1529934009 * tau] + 1.57e-9 * cos[3.1519582649 + 1025.4416802454 * tau] + 1.51e-9 * cos[3.43198157222 + 629.8629780064 * tau] + 1.81e-9 * cos[2.85489861839 + 1055.1891444952 * tau] + 1.62e-9 * cos[3.99983876824 + 1482.7987273275 * tau] + 1.62e-9 * cos[1.58053710589 + 628.5909536192 * tau] + 1.83e-9 * cos[2.35011338194 + 25551.09862947879 * tau] + 1.88e-9 * cos[3.62315953725 + 3156.8051495652 * tau] + 1.48e-9 * cos[4.73961194393 + 1799.1905969841 * tau] + 1.74e-9 * cos[3.50824761708 + 2004.364753465 * tau] + 2.05e-9 * cos[3.05468636546 + 1062.302691496 * tau] + 2.03e-9 * cos[0.70565514297 + 498.1983957056 * tau] + 1.56e-9 * cos[2.37819796438 + 2758.6611466924 * tau] + 2.06e-9 * cos[4.46933127349 + 2654.6746005965 * tau] + 1.52e-9 * cos[5.8908868579 + 208.633228992 * tau] + 2.01e-9 * cos[2.3852418292 + 419.532827985 * tau] + 1.90e-9 * cos[5.67865607835 + 1060.1326897146 * tau] + 1.73e-9 * cos[4.34546063838 + 3046.5988283458 * tau] + 2.03e-9 * cos[2.8369971553 + 1489.9122743283 * tau] + 1.68e-9 * cos[4.14907553818 + 946.727928415 * tau] + 1.88e-9 * cos[5.24747110812 + 25565.3257234804 * tau] + 1.71e-9 * cos[1.79511736017 + 1123.1178284926 * tau] + 1.54e-9 * cos[2.62839957291 + 683.1863154923 * tau] + 1.55e-9 * cos[0.83696849428 + 1474.9344208013 * tau] + 2.18e-9 * cos[0.27875408082 + 175.1660598002 * tau] + 1.59e-9 * cos[5.37530499642 + 20426.571092422 * tau] + 1.58e-9 * cos[5.00063628575 + 650.9429865779 * tau] + 1.57e-9 * cos[5.14847227422 + 451.7279727896 * tau] + 1.57e-9 * cos[4.26888100582 + 5069.3834615064 * tau] + 2.07e-9 * cos[0.49276008455 + 71.6002048296 * tau] + 1.91e-9 * cos[3.64255924842 + 1440.9941708575 * tau] + 1.70e-9 * cos[2.430366848 + 4532.578949411 * tau] + 1.76e-9 * cos[2.36848603898 + 977.4867846211 * tau] + 1.64e-9 * cos[1.06675279755 + 594.6507036754 * tau] + 2.19e-9 * cos[0.60964963735 + 2729.4561991638 * tau] + 1.72e-9 * cos[5.68083885227 + 1884.124123938 * tau] + 2.23e-9 * cos[0.11650319998 + 67.8804998876 * tau] + 1.81e-9 * cos[4.52272934666 + 24498.8302462904 * tau] + 2.05e-9 * cos[3.65507571128 + 906.849787638 * tau] + 1.79e-9 * cos[5.57395905447 + 1457.525933062 * tau] + 2.31e-9 * cos[4.69962389031 + 1966.2317178272 * tau] + 1.93e-9 * cos[2.1300347928 + 103.6140390804 * tau] + 2.00e-9 * cos[1.60275092073 + 6681.2248533996 * tau] + 1.70e-9 * cos[1.52204803308 + 5591.9608796002 * tau] + 2.15e-9 * cos[0.68219980704 + 1054.7160637432 * tau] + 1.74e-9 * cos[0.85370421252 + 1587.5884225755 * tau] + 1.73e-9 * cos[4.72884056307 + 77204.32749453338 * tau] + 1.70e-9 * cos[4.66520291204 + 1372.5924061081 * tau] + 1.72e-9 * cos[3.04802064781 + 54.3347294422 * tau] + 2.40e-9 * cos[6.06602357868 + 1821.1219388175 * tau] + 1.98e-9 * cos[5.49816579454 + 4333.5069479746 * tau] + 1.83e-9 * cos[3.1735846422 + 140.9651774255 * tau] + 1.90e-9 * cos[2.00852986549 + 1058.6311706638 * tau] + 1.86e-9 * cos[3.66368928017 + 108.7218485111 * tau] + 2.09e-9 * cos[5.67975843693 + 48.7580447764 * tau] + 2.26e-9 * cos[0.55334952097 + 554.0699874828 * tau] + 1.80e-9 * cos[5.06126965624 + 52.6901980395 * tau] + 1.80e-9 * cos[4.82870451226 + 1063.5747158832 * tau] + 1.80e-9 * cos[4.21309134581 + 143.9341228421 * tau] + 2.28e-9 * cos[6.23410921116 + 64.9597385808 * tau] + 2.57e-9 * cos[4.70227260707 + 9050.8108418032 * tau] + 2.05e-9 * cos[5.23642605904 + 4649.8988176312 * tau] + 2.15e-9 * cos[0.97603524747 + 479.2883889155 * tau] + 1.94e-9 * cos[1.60798828275 + 102.5715093568 * tau] + 2.35e-9 * cos[4.93761209111 + 1443.4418514123 * tau] + 2.14e-9 * cos[0.66988779149 + 9146.790069021 * tau] + 2.67e-9 * cos[3.27705002283 + 5120.6011455836 * tau] + 2.58e-9 * cos[2.35906183505 + 2861.753920911 * tau] + 2.25e-9 * cos[1.23997048012 + 3340.6124266998 * tau] + 2.04e-9 * cos[0.90117975859 + 1408.0171287602 * tau] + 2.44e-9 * cos[0.91026645686 + 3707.8367556622 * tau] + 2.22e-9 * cos[5.54424082649 + 5216.5803728014 * tau] + 2.63e-9 * cos[3.04951219565 + 1493.093668066 * tau] + 2.05e-9 * cos[4.62946016431 + 1056.4611688824 * tau] + 2.52e-9 * cos[5.69246905091 + 104.5772469269 * tau] + 2.10e-9 * cos[4.5179808271 + 1262.3860848887 * tau] + 2.58e-9 * cos[1.7350168845 + 1887.3055176757 * tau] + 2.14e-9 * cos[4.63498396475 + 812.1425848074 * tau] + 2.10e-9 * cos[4.08825553401 + 203.7378678824 * tau] + 2.79e-9 * cos[3.65173543621 + 84.9335269539 * tau] + 2.23e-9 * cos[4.88419887133 + 1035.002907801 * tau] + 2.13e-9 * cos[0.30373338388 + 8624.2126509272 * tau] + 2.08e-9 * cos[2.31366614282 + 878.3261636656 * tau] + 2.06e-9 * cos[1.59586787037 + 4429.4861751924 * tau] + 2.12e-9 * cos[2.88214546012 + 1674.0064222377 * tau] + 2.35e-9 * cos[2.20668997852 + 1570.9136480191 * tau] + 2.42e-9 * cos[6.25078283449 + 1621.3162241982 * tau] + 2.56e-9 * cos[5.65978708108 + 799.6124118352 * tau] + 2.64e-9 * cos[5.81676406517 + 77.962992305 * tau] + 2.12e-9 * cos[4.11706418218 + 269.9214467406 * tau] + 2.18e-9 * cos[0.79681703388 + 1909.3969182035 * tau] + 2.14e-9 * cos[3.85961180377 + 4223.3006267552 * tau] + 2.95e-9 * cos[2.1525308639 + 6386.16862421 * tau] + 2.28e-9 * cos[5.04188376116 + 1064.7985561606 * tau] + 2.64e-9 * cos[3.93467945263 + 1363.2436268736 * tau] + 2.29e-9 * cos[1.19373202707 + 1060.8664028975 * tau] + 2.23e-9 * cos[3.39126063354 + 3259.8979237838 * tau] + 2.18e-9 * cos[1.50681393471 + 1087.6931058405 * tau] + 2.21e-9 * cos[0.99914179141 + 1053.7528558967 * tau] + 2.71e-9 * cos[6.01605074549 + 170.7608257851 * tau] + 2.83e-9 * cos[6.28058228271 + 71.8126531507 * tau] + 2.18e-9 * cos[2.90308501961 + 85.8272988312 * tau] + 2.89e-9 * cos[6.08263862565 + 3384.3313390048 * tau] + 2.39e-9 * cos[0.71695698501 + 1276.6131788903 * tau] + 2.28e-9 * cos[1.22066024988 + 700.4517908797 * tau] + 2.28e-9 * cos[6.13118739321 + 3281.2385647862 * tau] + 2.69e-9 * cos[4.93023426152 + 151.0476698429 * tau] + 2.46e-9 * cos[2.81685822336 + 633.305004175 * tau] + 2.86e-9 * cos[5.08357076653 + 774.0095491696 * tau] + 2.98e-9 * cos[2.99720233431 + 1467.8208738005 * tau] + 2.35e-9 * cos[0.16574304942 + 137.0330241624 * tau] + 2.26e-9 * cos[0.05916712753 + 1518.2234499796 * tau] + 2.38e-9 * cos[5.06557054569 + 3803.81598288 * tau] + 2.50e-9 * cos[2.31712163679 + 632.2624744514 * tau] + 2.92e-9 * cos[2.12690999284 + 1592.2542890215 * tau] + 2.94e-9 * cos[2.01783542485 + 313.9441891018 * tau] + 2.86e-9 * cos[2.41008592059 + 2545.3620512544 * tau] + 3.01e-9 * cos[5.53432687957 + 2274.5468326365 * tau] + 3.02e-9 * cos[1.20236375616 + 232.0490435337 * tau] + 2.38e-9 * cos[4.97765946754 + 351.8165923087 * tau] + 3.17e-9 * cos[3.17967272487 + 1020.025054274 * tau] + 2.95e-9 * cos[5.86996114913 + 2804.2377977311 * tau] + 2.41e-9 * cos[0.01789818312 + 1586.625214729 * tau] + 3.00e-9 * cos[4.67161812947 + 1329.3033769298 * tau] + 3.24e-9 * cos[5.57824969423 + 1670.0742689746 * tau] + 2.78e-9 * cos[0.25406312148 + 874.3940104025 * tau] + 2.45e-9 * cos[4.01852686769 + 1567.7322542814 * tau] + 3.19e-9 * cos[1.34244222683 + 1288.4620283063 * tau] + 2.57e-9 * cos[4.79180478086 + 1670.8250285 * tau] + 3.00e-9 * cos[3.07435583442 + 1902.2833712027 * tau] + 2.48e-9 * cos[4.45058246237 + 1688.9842757647 * tau] + 2.53e-9 * cos[2.40482338279 + 97.6761482472 * tau] + 2.76e-9 * cos[4.32192160071 + 1912.5783119412 * tau] + 2.55e-9 * cos[1.52357936497 + 1688.2335162393 * tau] + 2.75e-9 * cos[3.38473403113 + 4002.8879843164 * tau] + 3.47e-9 * cos[0.62281394535 + 1542.6024723678 * tau] + 3.35e-9 * cos[4.51094500655 + 2349.3284312038 * tau] + 3.62e-9 * cos[1.06148806683 + 181.806526049 * tau] + 2.70e-9 * cos[4.08342186112 + 1578.7779545453 * tau] + 2.85e-9 * cos[4.55845472479 + 1446.62324515 * tau] + 2.86e-9 * cos[5.85849626574 + 172.2452984934 * tau] + 2.97e-9 * cos[2.40814103509 + 1591.5205758386 * tau] + 3.22e-9 * cos[2.4825105268 + 1065.6017053127 * tau] + 3.01e-9 * cos[4.30291951219 + 299.1263942692 * tau] + 2.83e-9 * cos[3.90409016441 + 127.4717966068 * tau] + 3.27e-9 * cos[4.76503823073 + 134.5853436076 * tau] + 3.20e-9 * cos[0.39871942 + 2122.6960136415 * tau] + 3.49e-9 * cos[4.09121908199 + 1059.903195051 * tau] + 3.87e-9 * cos[6.2681930999 + 1141.1340634054 * tau] + 2.80e-9 * cos[3.80196391678 + 298.2326223919 * tau] + 2.82e-9 * cos[0.39153852422 + 207.6700211455 * tau] + 2.82e-9 * cos[5.7886532189 + 1064.0477966352 * tau] + 3.32e-9 * cos[2.02575636311 + 1091.6252591036 * tau] + 2.85e-9 * cos[3.43655052437 + 1053.9653042178 * tau] + 3.91e-9 * cos[4.82224015188 + 1012.9115072732 * tau] + 3.38e-9 * cos[1.32014513725 + 148.0787244263 * tau] + 3.80e-9 * cos[1.67961600066 + 36.6485629295 * tau] + 3.46e-9 * cos[5.19792097706 + 523.4711899711 * tau] + 3.12e-9 * cos[4.59043534747 + 188.9200730498 * tau] + 4.02e-9 * cos[2.04684001796 + 842.1506814881 * tau] + 3.36e-9 * cos[4.49193455535 + 1585.8915015461 * tau] + 3.00e-9 * cos[4.94288858368 + 1379.7059531089 * tau] + 3.06e-9 * cos[3.35876843257 + 2424.1100297711 * tau] + 3.09e-9 * cos[2.49768755925 + 4326.3934009738 * tau] + 2.95e-9 * cos[2.35257797599 + 4216.1870797544 * tau] + 2.96e-9 * cos[3.97807312133 + 2043.9822618111 * tau] + 3.52e-9 * cos[5.75013621801 + 806.725958836 * tau] + 3.00e-9 * cos[0.94464473068 + 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* cos[1.92368906925 + 535.9107402181 * tau] + 1.919e-8 * cos[3.14834694111 + 381.6122406683 * tau] + 2.596e-8 * cos[2.77467278614 + 177.8743727859 * tau] + 2.108e-8 * cos[3.22886474225 + 252.6559713532 * tau] + 2.056e-8 * cos[6.2707414855 + 245.5424243524 * tau] + 1.935e-8 * cos[4.1005149395 + 3053.7123753466 * tau] + 1.896e-8 * cos[4.014062428 + 2310.722314814 * tau] + 1.947e-8 * cos[1.94468082546 + 529.5309064002 * tau] + 2.424e-8 * cos[3.57595925853 + 953.1077622329 * tau] + 2.127e-8 * cos[1.24424012514 + 539.9859058331 * tau] + 2.712e-8 * cos[3.18157754631 + 1474.6737883704 * tau] + 2.116e-8 * cos[6.20263841494 + 209.3669421749 * tau] + 2.056e-8 * cos[4.82779196994 + 2957.7331481288 * tau] + 2.119e-8 * cos[2.70107659927 + 387.2413149608 * tau] + 2.183e-8 * cos[3.0838425095 + 524.2743391232 * tau] + 2.240e-8 * cos[3.18006978517 + 3377.217792004 * tau] + 2.356e-8 * cos[0.67392574097 + 227.5261894396 * tau] + 2.261e-8 * cos[5.38117230692 + 1781.0313497194 * tau] + 2.078e-8 * cos[5.28920097886 + 76.2660712756 * tau] + 2.676e-8 * cos[5.06374981112 + 456.3938392356 * tau] + 2.057e-8 * cos[1.49875151278 + 551.031606097 * tau] + 2.166e-8 * cos[5.43262641046 + 534.3568315406 * tau] + 2.406e-8 * cos[2.29315649755 + 195.1398481733 * tau] + 2.130e-8 * cos[3.75880734109 + 724.8308132679 * tau] + 2.111e-8 * cos[5.61905648764 + 16.4623262353 * tau] + 2.458e-8 * cos[0.65614291954 + 9153.9036160218 * tau] + 2.381e-8 * cos[6.19252134885 + 327.4375699205 * tau] + 2.201e-8 * cos[3.94367109739 + 31.492569389 * tau] + 3.153e-8 * cos[2.30900986177 + 457.617679513 * tau] + 2.900e-8 * cos[2.50019054587 + 525.4981794006 * tau] + 2.581e-8 * cos[0.03759881914 + 1.6445314027 * tau] + 2.656e-8 * cos[0.49713061045 + 1057.8974574809 * tau] + 2.341e-8 * cos[5.87941292649 + 2751.5475996916 * tau] + 2.497e-8 * cos[0.47917884538 + 945.2434557067 * tau] + 3.397e-8 * cos[3.83084746522 + 210.1177017003 * tau] + 3.035e-8 * cos[5.52230028113 + 618.5566453116 * tau] + 3.356e-8 * cos[1.08315053878 + 46.470422916 * tau] + 2.620e-8 * cos[3.8276987434 + 520.129737539 * tau] + 2.553e-8 * cos[0.36892288645 + 1048.3362299253 * tau] + 2.563e-8 * cos[3.35080110279 + 2207.6295405954 * tau] + 3.352e-8 * cos[1.44391979336 + 593.426863398 * tau] + 3.398e-8 * cos[3.29598270278 + 911.3032057629 * tau] + 2.796e-8 * cos[2.98942316119 + 483.2205421786 * tau] + 2.618e-8 * cos[3.09118499149 + 3267.0114707846 * tau] + 3.677e-8 * cos[5.07337955976 + 73.297125859 * tau] + 3.590e-8 * cos[2.30999595873 + 908.3342603463 * tau] + 2.697e-8 * cos[5.23146633437 + 739.8086667949 * tau] + 3.320e-8 * cos[2.71417812514 + 495.7507151508 * tau] + 3.383e-8 * cos[4.42170370028 + 312.4597163935 * tau] + 3.059e-8 * cos[5.32616140812 + 530.44172462 * tau] + 3.223e-8 * cos[2.45833032883 + 960.2213092337 * tau] + 3.690e-8 * cos[0.39897023849 + 685.4739373527 * tau] + 2.925e-8 * cos[4.47580363425 + 533.8837507886 * tau] + 3.316e-8 * cos[2.70211697795 + 532.6117264014 * tau] + 2.932e-8 * cos[0.41424445089 + 7.8643065262 * tau] + 3.628e-8 * cos[0.07930225897 + 558.0021407459 * tau] + 3.196e-8 * cos[5.86588452873 + 4.1446015842 * tau] + 3.011e-8 * cos[1.59276337369 + 224.3447957019 * tau] + 3.057e-8 * cos[1.65589659685 + 528.9402055692 * tau] + 3.840e-8 * cos[1.91064405186 + 378.6432952517 * tau] + 4.129e-8 * cos[4.74946631331 + 0.8937718773 * tau] + 3.150e-8 * cos[3.81061764181 + 280.9671470045 * tau] + 3.226e-8 * cos[2.90455264496 + 963.4027029714 * tau] + 3.299e-8 * cos[4.27596694481 + 526.7702037878 * tau] + 3.496e-8 * cos[0.31252921473 + 597.3590166611 * tau] + 3.400e-8 * cos[6.00302355875 + 1.2238402774 * tau] + 4.022e-8 * cos[1.92293311337 + 1512.8068240082 * tau] + 4.093e-8 * cos[0.19980340452 + 525.0250986486 * tau] + 4.330e-8 * cos[0.8494175664 + 531.1754378029 * tau] + 3.566e-8 * cos[5.48243943375 + 750.1036075334 * tau] + 3.663e-8 * cos[4.35187510477 + 2737.32050569 * tau] + 4.129e-8 * cos[2.81119457666 + 416.3032501375 * tau] + 4.227e-8 * cos[5.5169759903 + 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1.6969210294 * tau] + 4.879e-8 * cos[0.07095292379 + 78.7137518304 * tau] + 4.739e-8 * cos[6.10248862834 + 106.2741679563 * tau] + 5.163e-8 * cos[5.07410777073 + 67.6680515665 * tau] + 5.062e-8 * cos[4.84282906467 + 31.019488637 * tau] + 4.943e-8 * cos[5.37597740579 + 721.6494195302 * tau] + 5.844e-8 * cos[2.95364118152 + 490.3340891794 * tau] + 5.618e-8 * cos[4.97903783721 + 2641.3412784722 * tau] + 5.388e-8 * cos[4.9017509558 + 69.1525242748 * tau] + 7.127e-8 * cos[1.43497795005 + 6.2197751235 * tau] + 5.456e-8 * cos[3.34716871364 + 2950.619601128 * tau] + 7.652e-8 * cos[0.52813391052 + 672.1406152284 * tau] + 5.629e-8 * cos[3.24348217277 + 529.1697002328 * tau] + 5.855e-8 * cos[5.42130172896 + 28.3111756513 * tau] + 5.674e-8 * cos[5.14132196367 + 746.9222137957 * tau] + 6.220e-8 * cos[1.77687561489 + 1062.5633239269 * tau] + 7.451e-8 * cos[3.02719199239 + 330.6189636582 * tau] + 7.347e-8 * cos[1.24457237337 + 24.3790223882 * tau] + 6.214e-8 * cos[4.54560345237 + 2.7083129857 * tau] 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* cos[2.98682673354 + 540.7366653585 * tau] + 1.0128e-7 * cos[2.09034472544 + 511.5317178299 * tau] + 8.420e-8 * cos[4.52537756809 + 1677.9385755008 * tau] + 8.796e-8 * cos[2.77421822809 + 6.592282139 * tau] + 9.341e-8 * cos[5.92176693887 + 1148.2476104062 * tau] + 1.0121e-7 * cos[1.31482648275 + 1905.4647649404 * tau] + 1.0105e-7 * cos[3.65845333837 + 107.0249274817 * tau] + 1.0247e-7 * cos[3.63479911496 + 2744.4340526908 * tau] + 1.1536e-7 * cos[2.35034215745 + 643.8294395771 * tau] + 1.0084e-7 * cos[4.05599810206 + 38.1330356378 * tau] + 1.2640e-7 * cos[4.75572797691 + 528.7277572481 * tau] + 1.0692e-7 * cos[2.51401681528 + 2847.5268269094 * tau] + 1.0851e-7 * cos[5.08554552028 + 2324.9494088156 * tau] + 9.874e-8 * cos[1.70200068743 + 1699.2792165032 * tau] + 1.0604e-7 * cos[3.11518747072 + 1.2720243872 * tau] + 1.3149e-7 * cos[2.72189077702 + 1364.7280995819 * tau] + 1.2256e-7 * cos[4.30153222783 + 604.4725636619 * tau] + 1.1117e-7 * cos[4.04973271023 + 519.3960243561 * tau] + 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2001.4439921582 * tau] + 6.3406e-7 * cos[4.97665525033 + 0.7507595254 * tau] + 7.2006e-7 * cos[4.23834923691 + 2111.6503133776 * tau] + 7.7401e-7 * cos[4.42676337124 + 39.3568759152 * tau] + 6.6098e-7 * cos[5.34386149468 + 1471.7530270636 * tau] + 6.8507e-7 * cos[2.35242959478 + 2.9207613068 * tau] + 8.7695e-7 * cos[1.21738140813 + 453.424893819 * tau] + 9.1758e-7 * cos[0.85756633461 + 1272.6810256272 * tau] + 9.6137e-7 * cos[1.18156870005 + 117.3198682202 * tau] + 9.9511e-7 * cos[1.42117395747 + 532.8723588323 * tau] + 0.00000141445 * cos[3.13568357861 + 491.5579294568 * tau] + 0.00000130531 * cos[4.16867945489 + 1045.1548361876 * tau] + 0.00000105895 * cos[4.55439798236 + 526.5095713569 * tau] + 0.00000116757 * cos[3.38920921041 + 0.5212648618 * tau] + 0.00000150502 * cos[3.90625022622 + 74.7815985673 * tau] + 0.00000117495 * cos[2.5002214089 + 1596.1864422846 * tau] + 0.00000137871 * cos[1.31797920785 + 1169.5882514086 * tau] + 0.00000157909 * cos[4.36483921766 + 1795.258443721 * tau] + 0.00000175191 * cos[3.72966554761 + 942.062061969 * tau] + 0.00000175184 * cos[3.22634903433 + 1898.3512179396 * tau] + 0.00000149368 * cos[4.37745104275 + 1685.0521225016 * tau] + 0.00000174809 * cos[5.90973505276 + 956.2891559706 * tau] + 0.00000235141 * cos[1.22693908124 + 909.8187330546 * tau] + 0.00000197046 * cos[5.29252149016 + 1155.361157407 * tau] + 0.00000207327 * cos[1.85461666594 + 525.7588118315 * tau] + 0.00000201996 * cos[1.80684574186 + 1375.7737998458 * tau] + 0.00000220382 * cos[1.65115015995 + 543.9180590962 * tau] + 0.00000261009 * cos[0.82047246448 + 380.12776796 * tau] + 0.00000256568 * cos[3.72410724159 + 199.0720014364 * tau] + 0.0000026154 * cos[1.87652461032 + 0.9632078465 * tau] + 0.0000024417 * cos[5.220208789 + 728.762966531 * tau] + 0.00000417266 * cos[1.03554430161 + 2.4476805548 * tau] + 0.00000440854 * cos[2.95818460943 + 454.9093665273 * tau] + 0.00000330458 * cos[4.74049819491 + 0.0481841098 * tau] + 0.00000341006 * cos[5.71452525783 + 533.6231183577 * tau] + 0.00000389864 * cos[4.89716105852 + 1692.1656695024 * tau] + 0.00000375657 * cos[4.70299124833 + 1368.660252845 * tau] + 0.00000581902 * cos[4.53967717552 + 309.2783226558 * tau] + 0.00000495224 * cos[3.75567461379 + 323.5054166574 * tau] + 0.00000614464 * cos[4.10853496756 + 1478.8665740644 * tau] + 0.0000070919 * cos[1.29272573658 + 742.9900605326 * tau] + 0.00000691928 * cos[6.13368222939 + 2118.7638603784 * tau] + 0.00000731072 * cos[3.80591233956 + 1581.959348283 * tau] + 0.00000732875 * cos[6.08534113239 + 838.9692877504 * tau] + 0.00000884439 * cos[2.43701426123 + 412.3710968744 * tau] + 0.00000973278 * cos[4.09764957065 + 95.9792272178 * tau] + 0.00001431997 * cos[4.29683690269 + 625.6701923124 * tau] + 0.00001633217 * cos[3.58201089758 + 515.463871093 * tau] + 0.00001920959 * cos[0.97168928755 + 639.897286314 * tau] + 0.00001722983 * cos[3.88036008872 + 1265.5674786264 * tau] + 0.00001764768 * cos[2.14148077766 + 1066.49547719 * tau] + 0.00002028191 * cos[1.06376547379 + 3.1813937377 * tau] + 0.00002610001 * cos[1.5666759485 + 846.0828347512 * tau] + 0.00003045009 * cos[4.31675960318 + 426.598190876 * tau] + 0.00004647249 * cos[4.69958109497 + 3.9321532631 * tau] + 0.00005305457 * cos[4.18625053495 + 1052.2683831884 * tau] + 0.00005305283 * cos[1.30671236848 + 14.2270940016 * tau] + 0.00004905419 * cos[1.32084631684 + 110.2063212194 * tau] + 0.0000611405 * cos[4.51319531666 + 1162.4747044078 * tau] + 0.00006263171 * cos[0.02497643742 + 213.299095438 * tau] + 0.00007368057 * cos[5.08101125612 + 735.8765135318 * tau] + 0.00008768686 * cos[3.63000324417 + 949.1756089698 * tau] + 0.00008246362 * cos[3.58227961655 + 206.1855484372 * tau] + 0.00013589738 * cos[5.7748103159 + 1589.0728952838 * tau] + 0.00027964622 * cos[1.78454589485 + 536.8045120954 * tau] + 0.0003885778 * cos[1.2723172486 + 316.3918696566 * tau] + 0.00039806051 * cos[2.29376744855 + 419.4846438752 * tau] + 0.00064263986 * cos[3.41145185203 + 103.0927742186 * tau] + 0.00072903096 * cos[3.64042909255 + 522.5774180938 * tau] + 0.0009717828 * cos[4.14264708819 + 632.7837393132 * tau] + 0.0030638918 * cos[5.41734729976 + 1059.3819301892 * tau] + 0.00573610145 * cos[1.44406205976 + 7.1135470008 * tau] + 0.09695898711 * cos[5.06191793105 + 529.6909650946 * tau] + 0.59954691495 * cos[0.0 + 0.0 * tau]; L1 = 7.5e-10 * cos[4.26526686574 + 1058.4187223427 * tau] + 8.0e-10 * cos[0.045397201 + 1080.7225711916 * tau] + 7.2e-10 * cos[5.65789862232 + 1151.4290041439 * tau] + 8.0e-10 * cos[5.45470236239 + 3163.918696566 * tau] + 7.8e-10 * cos[6.06217863109 + 970.5162499722 * tau] + 8.9e-10 * cos[5.90037690244 + 757.2171545342 * tau] + 1.07e-9 * cos[5.40509332689 + 679.2541622292 * tau] + 1.18e-9 * cos[6.11701561559 + 1069.6768709277 * tau] + 9.4e-10 * cos[4.59915291355 + 1059.430114299 * tau] + 1.09e-9 * cos[3.83745968299 + 525.4981794006 * tau] + 8.7e-10 * cos[0.58218477838 + 1173.5204046717 * tau] + 1.02e-9 * cos[1.10442899544 + 1969.2006632438 * tau] + 9.0e-10 * cos[4.09610113044 + 1064.0477966352 * tau] + 9.8e-10 * cos[3.79115318281 + 497.4476361802 * tau] + 9.4e-10 * cos[1.40134175492 + 1059.3337460794 * tau] + 1.00e-9 * cos[5.74974781049 + 501.2367770914 * tau] + 1.19e-9 * cos[5.10578428676 + 1056.9342496344 * tau] + 1.06e-9 * cos[5.94313244357 + 1057.8974574809 * tau] + 1.15e-9 * cos[1.55831212007 + 9153.9036160218 * tau] + 1.43e-9 * cos[2.40197278329 + 529.1697002328 * tau] + 1.61e-9 * cos[2.02006564218 + 860.3099287528 * tau] + 1.23e-9 * cos[4.79543460218 + 1098.7388061044 * tau] + 1.34e-9 * cos[4.09921613445 + 530.44172462 * tau] + 1.88e-9 * cos[4.53005359421 + 1041.2226829245 * tau] + 1.71e-9 * cos[3.33647878498 + 1912.5783119412 * tau] + 1.55e-9 * cos[3.8762354799 + 327.4375699205 * tau] + 1.51e-9 * cos[3.17795437121 + 3590.516887442 * tau] + 1.54e-9 * cos[3.65536637158 + 77734.01845962799 * tau] + 1.53e-9 * cos[4.15259684562 + 4333.5069479746 * tau] + 1.80e-9 * cos[1.88055488803 + 685.4739373527 * tau] + 1.87e-9 * cos[0.64918748618 + 842.1506814881 * tau] + 1.57e-9 * cos[2.25764581068 + 850.0149880143 * tau] + 1.68e-9 * cos[5.73975661792 + 2847.5268269094 * tau] + 1.60e-9 * cos[0.43729819176 + 2545.3620512544 * tau] + 1.57e-9 * cos[5.8783995888 + 3914.0223040994 * tau] + 1.66e-9 * cos[1.551148631 + 1070.4276304531 * tau] + 1.81e-9 * cos[5.96554625357 + 1578.7779545453 * tau] + 1.81e-9 * cos[2.05055200822 + 842.9014410135 * tau] + 1.65e-9 * cos[1.51795928301 + 4010.0015313172 * tau] + 1.69e-9 * cos[2.57956682688 + 9161.0171630226 * tau] + 2.06e-9 * cos[5.22730929781 + 3995.7744373156 * tau] + 2.25e-9 * cos[3.1310809966 + 630.3360587584 * tau] + 1.74e-9 * cos[1.83997277029 + 746.9222137957 * tau] + 2.06e-9 * cos[0.01485146863 + 2730.2069586892 * tau] + 1.89e-9 * cos[0.24160744024 + 1670.8250285 * tau] + 1.86e-9 * cos[4.90511103807 + 3583.4033404412 * tau] + 2.20e-9 * cos[1.06991056825 + 2200.5159935946 * tau] + 1.73e-9 * cos[2.30241719278 + 1176.7017984094 * tau] + 1.72e-9 * cos[4.35250972697 + 1578.0271950199 * tau] + 1.89e-9 * cos[0.35191512844 + 1372.5924061081 * tau] + 1.74e-9 * cos[6.13734594396 + 3597.6304344428 * tau] + 1.91e-9 * cos[1.04146023518 + 1884.124123938 * tau] + 1.82e-9 * cos[1.18931462257 + 1512.8068240082 * tau] + 1.86e-9 * cos[0.69289672485 + 92.7978334801 * tau] + 1.88e-9 * cos[0.90738705875 + 135.336103133 * tau] + 1.98e-9 * cos[0.30166351366 + 1166.4068576709 * tau] + 1.98e-9 * cos[4.31078641704 + 4017.115078318 * tau] + 2.66e-9 * cos[1.58032565718 + 983.1158589136 * tau] + 1.94e-9 * cos[5.95526916809 + 84.9335269539 * tau] + 1.99e-9 * cos[3.30501818656 + 4120.2078525366 * tau] + 2.07e-9 * cos[0.07907015398 + 5223.6939198022 * tau] + 2.37e-9 * cos[5.56926897693 + 2943.5060541272 * tau] + 2.27e-9 * cos[0.78540105705 + 59.8037450403 * tau] + 2.02e-9 * cos[1.32439444045 + 4326.3934009738 * tau] + 2.06e-9 * cos[4.98184230959 + 1357.6145525811 * tau] + 2.95e-9 * cos[4.70194747095 + 3067.9394693482 * tau] + 2.16e-9 * cos[5.82941334164 + 1567.7322542814 * tau] + 2.13e-9 * cos[3.6826423475 + 1048.3362299253 * tau] + 2.26e-9 * cos[5.94296271326 + 224.3447957019 * tau] + 2.38e-9 * cos[3.93371505401 + 3171.0322435668 * tau] + 2.21e-9 * cos[6.22167997496 + 3281.2385647862 * tau] + 3.24e-9 * cos[1.84851618413 + 1289.9465010146 * tau] + 2.44e-9 * cos[2.0289276469 + 3377.217792004 * tau] + 2.45e-9 * cos[1.24462798353 + 252.6559713532 * tau] + 2.72e-9 * cos[4.1850495892 + 8624.2126509272 * tau] + 2.81e-9 * cos[3.0132465594 + 320.3240229197 * tau] + 2.81e-9 * cos[2.74823090198 + 4694.0029547076 * tau] + 2.59e-9 * cos[2.56026216784 + 9146.790069021 * tau] + 2.58e-9 * cos[5.9667069414 + 1269.4996318895 * tau] + 3.57e-9 * cos[1.39391983207 + 1493.093668066 * tau] + 2.75e-9 * cos[2.58465453365 + 373.0142209592 * tau] + 2.69e-9 * cos[3.92616563946 + 42.5382696529 * tau] + 2.81e-9 * cos[5.5463546105 + 3370.1042450032 * tau] + 2.84e-9 * cos[5.36580034539 + 1165.6560981455 * tau] + 3.26e-9 * cos[0.60265259639 + 827.9235874865 * tau] + 2.83e-9 * cos[1.0923050635 + 1061.829610744 * tau] + 3.58e-9 * cos[5.45926487831 + 113.3877149571 * tau] + 2.78e-9 * cos[5.49867187248 + 280.9671470045 * tau] + 3.10e-9 * cos[4.69102289591 + 76.2660712756 * tau] + 2.85e-9 * cos[4.56394598052 + 1268.7488723641 * tau] + 3.87e-9 * cos[0.46648572639 + 1592.2542890215 * tau] + 2.86e-9 * cos[2.89800423081 + 530.2122299564 * tau] + 3.04e-9 * cos[6.12522825214 + 1262.3860848887 * tau] + 3.41e-9 * cos[2.80833606944 + 1514.2912967165 * tau] + 2.93e-9 * cos[0.97977818746 + 1585.8915015461 * tau] + 3.25e-9 * cos[0.54991590409 + 43.2890291783 * tau] + 3.02e-9 * cos[4.64184749164 + 1261.6353253633 * tau] + 3.95e-9 * cos[1.73181407631 + 1593.0050485469 * tau] + 3.23e-9 * cos[3.5265624528 + 3274.1250177854 * tau] + 3.33e-9 * cos[0.80112437148 + 1585.1407420207 * tau] + 3.13e-9 * cos[4.74363791106 + 938.1299087059 * tau] + 3.14e-9 * cos[5.73833529708 + 1158.5425511447 * tau] + 3.89e-9 * cos[0.31259289221 + 2413.8150890326 * tau] + 3.36e-9 * cos[2.64385574909 + 1021.2488945514 * tau] + 4.01e-9 * cos[0.30034336462 + 2332.0629558164 * tau] + 3.31e-9 * cos[1.74086938716 + 490.3340891794 * tau] + 3.35e-9 * cos[6.01254286794 + 960.2213092337 * tau] + 4.04e-9 * cos[1.72647262603 + 1141.1340634054 * tau] + 3.55e-9 * cos[1.65214516751 + 78.7137518304 * tau] + 3.79e-9 * cos[1.80234948769 + 2655.5683724738 * tau] + 4.16e-9 * cos[1.70821917336 + 245.5424243524 * tau] + 3.98e-9 * cos[5.19943284273 + 3267.0114707846 * tau] + 4.49e-9 * cos[1.11025492739 + 56.6223513026 * tau] + 3.88e-9 * cos[5.58318013074 + 731.9443602687 * tau] + 5.24e-9 * cos[2.03003740296 + 1279.794572628 * tau] + 4.86e-9 * cos[4.39351469958 + 462.0229135281 * tau] + 5.03e-9 * cos[1.57454509207 + 454.9093665273 * tau] + 5.47e-9 * cos[0.34432090949 + 1251.3403846248 * tau] + 4.91e-9 * cos[3.592863642 + 230.5645708254 * tau] + 4.26e-9 * cos[5.07945534339 + 2524.021410252 * tau] + 4.35e-9 * cos[3.02449828967 + 533.8837507886 * tau] + 4.32e-9 * cos[3.64903264921 + 313.2104759189 * tau] + 5.01e-9 * cos[5.51752195462 + 2435.155730035 * tau] + 4.94e-9 * cos[0.53844942275 + 1354.4331588434 * tau] + 4.38e-9 * cos[6.01178917646 + 3178.1457905676 * tau] + 4.50e-9 * cos[1.91049508739 + 597.3590166611 * tau] + 4.49e-9 * cos[4.70231576312 + 934.9485149682 * tau] + 5.15e-9 * cos[4.7812605928 + 447.7958195265 * tau] + 4.50e-9 * cos[2.28121042355 + 3060.8259223474 * tau] + 4.53e-9 * cos[0.61375011101 + 1159.2933106701 * tau] + 4.87e-9 * cos[5.86510858429 + 724.8308132679 * tau] + 4.87e-9 * cos[5.55383951779 + 2627.1141844706 * tau] + 4.92e-9 * cos[0.76371083106 + 1603.2999892854 * tau] + 5.57e-9 * cos[4.11381202161 + 2854.6403739102 * tau] + 4.88e-9 * cos[4.99103190309 + 483.2205421786 * tau] + 5.27e-9 * cos[5.80796427555 + 3053.7123753466 * tau] + 5.23e-9 * cos[3.63882376 + 437.6438911399 * tau] + 5.40e-9 * cos[3.7880923082 + 2957.7331481288 * tau] + 7.22e-9 * cos[5.18171159557 + 1.4844727083 * tau] + 6.20e-9 * cos[3.01917904435 + 902.7051860538 * tau] + 5.77e-9 * cos[6.09100925678 + 2531.1349572528 * tau] + 6.40e-9 * cos[1.38530872949 + 530.6541729411 * tau] + 5.52e-9 * cos[5.83533550039 + 526.7702037878 * tau] + 5.91e-9 * cos[3.26075006572 + 202.2533951741 * tau] + 7.27e-9 * cos[4.24401822698 + 760.25553592 * tau] + 6.17e-9 * cos[5.80920925081 + 739.0579072695 * tau] + 7.62e-9 * cos[1.12201139619 + 732.6951197941 * tau] + 7.84e-9 * cos[4.23651511312 + 195.1398481733 * tau] + 6.92e-9 * cos[2.51162384766 + 916.9322800554 * tau] + 8.19e-9 * cos[4.91540072376 + 2751.5475996916 * tau] + 8.09e-9 * cos[4.24929331276 + 529.7391492044 * tau] + 6.40e-9 * cos[3.91546675664 + 528.7277572481 * tau] + 6.82e-9 * cos[1.19994890339 + 387.2413149608 * tau] + 6.69e-9 * cos[5.75757140051 + 2015.6710861598 * tau] + 8.36e-9 * cos[0.60410469174 + 2097.423219376 * tau] + 7.24e-9 * cos[5.68281830264 + 953.1077622329 * tau] + 8.18e-9 * cos[1.05229815343 + 909.8187330546 * tau] + 7.95e-9 * cos[3.2058836382 + 604.4725636619 * tau] + 7.94e-9 * cos[4.25051539085 + 2641.3412784722 * tau] + 7.21e-9 * cos[0.73855379162 + 2228.9701815978 * tau] + 7.04e-9 * cos[1.2544730812 + 547.8502123593 * tau] + 8.02e-9 * cos[1.14191463412 + 532.6117264014 * tau] + 7.60e-9 * cos[3.07033779824 + 39.3568759152 * tau] + 7.10e-9 * cos[0.38016353553 + 69.1525242748 * tau] + 7.69e-9 * cos[4.51394016967 + 952.3570027075 * tau] + 7.28e-9 * cos[5.97210358938 + 945.9942152321 * tau] + 7.47e-9 * cos[2.71772840871 + 38.1330356378 * tau] + 7.34e-9 * cos[0.208004851 + 1049.0869894507 * tau] + 7.44e-9 * cos[0.58381523987 + 25.2727942655 * tau] + 7.45e-9 * cos[0.03810558502 + 535.107591066 * tau] + 7.72e-9 * cos[5.25607113566 + 2950.619601128 * tau] + 9.53e-9 * cos[4.30945738629 + 209.3669421749 * tau] + 8.78e-9 * cos[5.76532521399 + 1.6445314027 * tau] + 7.79e-9 * cos[4.80009242059 + 945.2434557067 * tau] + 8.09e-9 * cos[1.05148218513 + 529.6427809848 * tau] + 9.12e-9 * cos[2.80494184378 + 6.2197751235 * tau] + 8.29e-9 * cos[2.35178495412 + 312.4597163935 * tau] + 8.67e-9 * cos[0.81020362547 + 524.2743391232 * tau] + 9.41e-9 * cos[2.84331157527 + 9676.4810341156 * tau] + 9.42e-9 * cos[2.31049430734 + 9690.7081281172 * tau] + 8.92e-9 * cos[5.87250060663 + 203.0041546995 * tau] + 9.83e-9 * cos[1.42102343372 + 5746.271337896 * tau] + 9.85e-9 * cos[0.8868762377 + 5760.4984318976 * tau] + 9.06e-9 * cos[0.76565238554 + 1439.5096981492 * tau] + 8.90e-9 * cos[5.41036782817 + 28.4541880032 * tau] + 8.96e-9 * cos[2.54505998806 + 2744.4340526908 * tau] + 9.64e-9 * cos[2.82269601958 + 2111.6503133776 * tau] + 1.308e-8 * cos[1.78809336431 + 824.7421937488 * tau] + 1.021e-8 * cos[4.75651217048 + 527.2432845398 * tau] + 1.035e-8 * cos[2.90231353535 + 611.4430983108 * tau] + 9.93e-9 * cos[2.03698185233 + 319.5732633943 * tau] + 9.78e-9 * cos[5.13939194101 + 2207.6295405954 * tau] + 1.012e-8 * cos[0.54293005597 + 532.1386456494 * tau] + 1.143e-8 * cos[5.56626418636 + 46.470422916 * tau] + 1.027e-8 * cos[0.20709586018 + 7.8643065262 * tau] + 1.159e-8 * cos[0.4618956497 + 67.6680515665 * tau] + 1.056e-8 * cos[5.76507115032 + 2310.722314814 * tau] + 1.346e-8 * cos[3.2057584887 + 525.0250986486 * tau] + 1.112e-8 * cos[4.3820436067 + 561.934294009 * tau] + 1.094e-8 * cos[6.02985819406 + 2737.32050569 * tau] + 1.322e-8 * cos[4.25691184168 + 2538.2485042536 * tau] + 1.166e-8 * cos[0.80686346228 + 739.8086667949 * tau] + 1.188e-8 * cos[2.24279457878 + 31.492569389 * tau] + 1.344e-8 * cos[0.01942249067 + 2214.7430875962 * tau] + 1.352e-8 * cos[5.10869562455 + 149.5631971346 * tau] + 1.348e-8 * cos[2.49823510924 + 984.6003316219 * tau] + 1.294e-8 * cos[5.76241191046 + 440.8252848776 * tau] + 1.655e-8 * cos[0.88908548504 + 1781.0313497194 * tau] + 1.472e-8 * cos[0.83054329617 + 28.3111756513 * tau] + 1.667e-8 * cos[0.26406950755 + 835.0371344873 * tau] + 1.446e-8 * cos[3.15802770791 + 25.1297819136 * tau] + 1.482e-8 * cos[3.76736278426 + 534.3568315406 * tau] + 1.467e-8 * cos[0.54812675158 + 458.8415197904 * tau] + 1.539e-8 * cos[2.75316078346 + 415.5524906121 * tau] + 1.953e-8 * cos[5.09846435548 + 17.4084877393 * tau] + 1.675e-8 * cos[6.15609073315 + 643.8294395771 * tau] + 1.656e-8 * cos[5.46039280732 + 2634.2277314714 * tau] + 1.679e-8 * cos[0.25635730278 + 295.0512286542 * tau] + 1.878e-8 * cos[5.69299116574 + 210.1177017003 * tau] + 1.923e-8 * cos[0.28688549585 + 31.019488637 * tau] + 1.919e-8 * cos[5.01297395549 + 99.1606209555 * tau] + 2.269e-8 * cos[1.02549350754 + 618.5566453116 * tau] + 1.835e-8 * cos[4.81326127892 + 124.433415221 * tau] + 2.334e-8 * cos[5.8704263847 + 1038.0412891868 * tau] + 1.768e-8 * cos[0.33097462499 + 35.4247226521 * tau] + 1.959e-8 * cos[4.03116026306 + 92.0470739547 * tau] + 2.043e-8 * cos[4.34047514845 + 70.8494453042 * tau] + 1.820e-8 * cos[5.9749792612 + 114.1384744825 * tau] + 2.460e-8 * cos[4.63268678998 + 1905.4647649404 * tau] + 1.838e-8 * cos[1.25467410218 + 81.7521332162 * tau] + 1.834e-8 * cos[5.61474110217 + 430.5303441391 * tau] + 2.026e-8 * cos[3.08606488714 + 408.4389436113 * tau] + 1.917e-8 * cos[3.03728154374 + 1382.8873468466 * tau] + 1.971e-8 * cos[5.88715684267 + 217.2312487011 * tau] + 1.915e-8 * cos[4.22134509685 + 2324.9494088156 * tau] + 1.903e-8 * cos[2.78349628184 + 2428.0421830342 * tau] + 1.960e-8 * cos[1.35288793079 + 963.4027029714 * tau] + 1.977e-8 * cos[3.99197009651 + 24.3790223882 * tau] + 2.283e-8 * cos[5.80043809222 + 539.9859058331 * tau] + 2.109e-8 * cos[5.18682321403 + 227.5261894396 * tau] + 2.020e-8 * cos[4.17560390841 + 569.0478410098 * tau] + 2.114e-8 * cos[6.25308371567 + 647.0108333148 * tau] + 2.121e-8 * cos[0.01537599023 + 2420.9286360334 * tau] + 2.042e-8 * cos[0.75008788531 + 142.4496501338 * tau] + 2.089e-8 * cos[5.99310370434 + 1994.3304451574 * tau] + 2.319e-8 * cos[5.8292030013 + 305.3461693927 * tau] + 2.214e-8 * cos[5.2445092318 + 621.7380390493 * tau] + 2.390e-8 * cos[6.01779736611 + 551.031606097 * tau] + 3.190e-8 * cos[4.60740643547 + 416.3032501375 * tau] + 2.936e-8 * cos[1.0905202945 + 1464.6394800628 * tau] + 2.486e-8 * cos[5.28950877719 + 1891.2376709388 * tau] + 2.661e-8 * cos[0.35249312659 + 1898.3512179396 * tau] + 2.578e-8 * cos[3.60390367979 + 750.1036075334 * tau] + 3.290e-8 * cos[5.8908168215 + 1802.3719907218 * tau] + 2.704e-8 * cos[3.03615556153 + 422.6660376129 * tau] + 2.666e-8 * cos[4.28662288102 + 106.2741679563 * tau] + 2.768e-8 * cos[1.61339487804 + 1063.3140834523 * tau] + 2.808e-8 * cos[3.30714813896 + 0.7507595254 * tau] + 2.720e-8 * cos[1.25222590925 + 540.7366653585 * tau] + 2.969e-8 * cos[5.50054720569 + 107.0249274817 * tau] + 2.883e-8 * cos[5.72793010505 + 99.9113804809 * tau] + 3.687e-8 * cos[2.93378008847 + 32.2433289144 * tau] + 3.515e-8 * cos[0.25495124831 + 1055.4497769261 * tau] + 4.007e-8 * cos[2.54845549248 + 74.7815985673 * tau] + 3.569e-8 * cos[5.6654047701 + 2317.8358618148 * tau] + 4.467e-8 * cos[0.08534650684 + 1062.5633239269 * tau] + 5.406e-8 * cos[4.40429493698 + 2221.856634597 * tau] + 4.398e-8 * cos[4.14280286969 + 511.5317178299 * tau] + 4.132e-8 * cos[0.50170694173 + 1056.2005364515 * tau] + 4.432e-8 * cos[4.35811524051 + 423.4167971383 * tau] + 4.101e-8 * cos[6.19274358942 + 636.7158925763 * tau] + 4.223e-8 * cos[1.44087555881 + 2125.8774073792 * tau] + 4.285e-8 * cos[0.23949868127 + 2104.5367663768 * tau] + 5.403e-8 * cos[1.46004886198 + 330.6189636582 * tau] + 5.593e-8 * cos[5.57489981207 + 191.9584544356 * tau] + 4.414e-8 * cos[0.15381186059 + 1699.2792165032 * tau] + 4.518e-8 * cos[2.06523915453 + 453.424893819 * tau] + 4.537e-8 * cos[4.95096707833 + 635.9651330509 * tau] + 4.575e-8 * cos[6.24794935732 + 1677.9385755008 * tau] + 4.603e-8 * cos[0.78529559911 + 721.6494195302 * tau] + 4.765e-8 * cos[0.16838181862 + 629.6023455755 * tau] + 5.140e-8 * cos[2.92955981951 + 518.6452648307 * tau] + 5.141e-8 * cos[5.23083932012 + 628.8515860501 * tau] + 6.266e-8 * cos[1.36137786945 + 1148.2476104062 * tau] + 7.256e-8 * cos[6.19384525651 + 11.0457002639 * tau] + 5.840e-8 * cos[4.22347896053 + 2008.557539159 * tau] + 6.690e-8 * cos[2.4109345942 + 4.192785694 * tau] + 7.658e-8 * cos[5.64890060131 + 2648.454825473 * tau] + 8.148e-8 * cos[5.1016231141 + 1485.9801210652 * tau] + 8.370e-8 * cos[5.88484552222 + 2001.4439921582 * tau] + 8.864e-8 * cos[0.53776257958 + 1788.1448967202 * tau] + 9.285e-8 * cos[3.2184228753 + 1795.258443721 * tau] + 9.805e-8 * cos[0.38648727979 + 1073.6090241908 * tau] + 9.804e-8 * cos[5.90363777277 + 519.3960243561 * tau] + 1.0425e-7 * cos[0.3135503439 + 1361.5467058442 * tau] + 1.1054e-7 * cos[5.56735602213 + 1574.8458012822 * tau] + 1.1728e-7 * cos[1.76426582357 + 380.12776796 * tau] + 1.1559e-7 * cos[4.30379009964 + 405.2575498736 * tau] + 1.4107e-7 * cos[0.63031082833 + 2.9207613068 * tau] + 1.4368e-7 * cos[0.9145983114 + 18.1592472647 * tau] + 1.7508e-7 * cos[0.49799925173 + 1375.7737998458 * tau] + 1.7453e-7 * cos[0.70749901224 + 1471.7530270636 * tau] + 1.7230e-7 * cos[2.76395560958 + 853.196381752 * tau] + 1.7703e-7 * cos[5.95527049039 + 5.4166259714 * tau] + 1.7871e-7 * cos[0.82841413516 + 433.7117378768 * tau] + 1.9747e-7 * cos[2.17205957814 + 316.3918696566 * tau] + 2.1133e-7 * cos[5.863468242 + 1258.4539316256 * tau] + 2.5195e-7 * cos[1.60723063387 + 831.8557407496 * tau] + 2.1802e-7 * cos[6.1505405407 + 1685.0521225016 * tau] + 2.9483e-7 * cos[5.42208897099 + 1272.6810256272 * tau] + 3.2449e-7 * cos[5.37492530697 + 508.3503240922 * tau] + 2.9307e-7 * cos[0.75907909735 + 88.865680217 * tau] + 2.9379e-7 * cos[3.35927241533 + 4.665866446 * tau] + 3.3558e-7 * cos[0.09913904872 + 302.164775655 * tau] + 3.2827e-7 * cos[5.03596689455 + 220.4126424388 * tau] + 4.6678e-7 * cos[0.51144073175 + 1265.5674786264 * tau] + 3.9888e-7 * cos[4.161580136 + 1692.1656695024 * tau] + 4.7418e-7 * cos[3.62611843241 + 1478.8665740644 * tau] + 5.0418e-7 * cos[6.08075147811 + 525.7588118315 * tau] + 5.2309e-7 * cos[5.72661448388 + 117.3198682202 * tau] + 5.2016e-7 * cos[0.22981299129 + 1368.660252845 * tau] + 5.4935e-7 * cos[5.42806383723 + 10.2949407385 * tau] + 5.7368e-7 * cos[5.96851304799 + 1169.5882514086 * tau] + 7.1643e-7 * cos[5.34162650321 + 942.062061969 * tau] + 5.6600e-7 * cos[1.41198438841 + 533.6231183577 * tau] + 5.8509e-7 * cos[0.58626971028 + 1155.361157407 * tau] + 6.5635e-7 * cos[0.1292419143 + 526.5095713569 * tau] + 5.7939e-7 * cos[0.99453087342 + 1596.1864422846 * tau] + 7.9686e-7 * cos[5.82412400273 + 1045.1548361876 * tau] + 6.4850e-7 * cos[6.08803490288 + 1581.959348283 * tau] + 6.9618e-7 * cos[5.97263450278 + 532.8723588323 * tau] + 6.6824e-7 * cos[5.73365126533 + 21.3406410024 * tau] + 0.00000115047 * cos[5.28641699144 + 2118.7638603784 * tau] + 0.00000115393 * cos[0.68019050174 + 846.0828347512 * tau] + 0.00000107575 * cos[4.49282760117 + 956.2891559706 * tau] + 0.00000130771 * cos[0.62643377351 + 728.762966531 * tau] + 0.0000017138 * cos[5.41655983845 + 199.0720014364 * tau] + 0.00000186899 * cos[6.08620565908 + 742.9900605326 * tau] + 0.00000198525 * cos[1.50458442825 + 838.9692877504 * tau] + 0.00000183938 * cos[6.27963588822 + 543.9180590962 * tau] + 0.0000023434 * cos[4.03469970332 + 949.1756089698 * tau] + 0.00000194784 * cos[2.21879010911 + 323.5054166574 * tau] + 0.00000234066 * cos[6.24302226646 + 309.2783226558 * tau] + 0.00000345249 * cos[4.2415956541 + 632.7837393132 * tau] + 0.00000335817 * cos[3.73248749046 + 1162.4747044078 * tau] + 0.0000041293 * cos[5.73652891261 + 95.9792272178 * tau] + 0.00000474181 * cos[4.13245269168 + 412.3710968744 * tau] + 0.00000567845 * cos[5.98867049451 + 625.6701923124 * tau] + 0.00000725447 * cos[5.51827471473 + 639.897286314 * tau] + 0.00000816397 * cos[0.58643054886 + 1066.49547719 * tau] + 0.00001098735 * cos[5.30704981594 + 515.463871093 * tau] + 0.00001003574 * cos[3.15040301822 + 426.598190876 * tau] + 0.00000827329 * cos[4.80312015734 + 213.299095438 * tau] + 0.00000847678 * cos[5.7580585045 + 110.2063212194 * tau] + 0.00001173129 * cos[5.8564730435 + 1052.2683831884 * tau] + 0.00001007216 * cos[0.46478398551 + 735.8765135318 * tau] + 0.00001163411 * cos[0.51450895328 + 3.9321532631 * tau] + 0.00001745919 * cos[4.92669378486 + 1589.0728952838 * tau] + 0.00001295769 * cos[5.55132765087 + 3.1813937377 * tau] + 0.00002211854 * cos[5.26771446618 + 206.1855484372 * tau] + 0.00004237795 * cos[5.89009351271 + 14.2270940016 * tau] + 0.00005433924 * cos[3.98478382565 + 419.4846438752 * tau] + 0.00006068051 * cos[4.42419502005 + 103.0927742186 * tau] + 0.00012105732 * cos[0.16985765041 + 536.8045120954 * tau] + 0.00020720943 * cos[5.45938936295 + 522.5774180938 * tau] + 0.0002765538 * cos[4.57265956824 + 1059.3819301892 * tau] + 0.00228918538 * cos[6.02647464016 + 7.1135470008 * tau] + 0.00489741194 * cos[4.22066689928 + 529.6909650946 * tau] + 529.93480757497 * cos[0.0 + 0.0 * tau]; L2 = 8.6e-10 * cos[4.34444949905 + 1069.6768709277 * tau] + 9.1e-10 * cos[1.48896790758 + 1567.7322542814 * tau] + 1.14e-9 * cos[5.1598283807 + 1592.2542890215 * tau] + 8.6e-10 * cos[1.26924601636 + 511.5317178299 * tau] + 1.24e-9 * cos[0.14001204498 + 860.3099287528 * tau] + 1.12e-9 * cos[5.7740728579 + 547.8502123593 * tau] + 1.71e-9 * cos[2.34210749987 + 1354.4331588434 * tau] + 1.63e-9 * cos[1.24084734609 + 3053.7123753466 * tau] + 1.49e-9 * cos[1.98737542735 + 1049.0869894507 * tau] + 1.89e-9 * cos[2.95184620359 + 732.6951197941 * tau] + 1.91e-9 * cos[2.68685722531 + 1773.9178027186 * tau] + 1.52e-9 * cos[5.48122906518 + 10213.285546211 * tau] + 2.03e-9 * cos[2.24205059922 + 67.6680515665 * tau] + 2.14e-9 * cos[2.55756944911 + 2538.2485042536 * tau] + 2.24e-9 * cos[3.69285208525 + 2435.155730035 * tau] + 2.02e-9 * cos[3.30429764992 + 3067.9394693482 * tau] + 1.65e-9 * cos[4.08776703733 + 6283.0758499914 * tau] + 2.28e-9 * cos[3.82701076821 + 113.3877149571 * tau] + 2.31e-9 * cos[2.2635333046 + 2097.423219376 * tau] + 2.03e-9 * cos[0.41899069603 + 2840.4132799086 * tau] + 1.72e-9 * cos[1.38604067808 + 945.9942152321 * tau] + 1.77e-9 * cos[5.56545270243 + 2332.0629558164 * tau] + 1.79e-9 * cos[0.53892926207 + 2207.6295405954 * tau] + 2.00e-9 * cos[3.42280996072 + 99.1606209555 * tau] + 2.14e-9 * cos[1.14529237568 + 2531.1349572528 * tau] + 2.39e-9 * cos[1.93897157244 + 2413.8150890326 * tau] + 1.88e-9 * cos[6.00513627145 + 92.0470739547 * tau] + 2.42e-9 * cos[2.52382905368 + 3274.1250177854 * tau] + 2.22e-9 * cos[0.63265553397 + 3163.918696566 * tau] + 2.24e-9 * cos[1.28623905132 + 3060.8259223474 * tau] + 2.28e-9 * cos[1.28182702946 + 2310.722314814 * tau] + 2.43e-9 * cos[1.58604251447 + 2744.4340526908 * tau] + 2.07e-9 * cos[5.94297320087 + 9153.9036160218 * tau] + 2.88e-9 * cos[2.30146999217 + 2854.6403739102 * tau] + 2.28e-9 * cos[5.47896916415 + 1603.2999892854 * tau] + 2.72e-9 * cos[2.98590404673 + 1457.525933062 * tau] + 2.24e-9 * cos[4.49752269293 + 5223.6939198022 * tau] + 2.51e-9 * cos[0.43544711316 + 3259.8979237838 * tau] + 3.03e-9 * cos[2.43034117616 + 70.8494453042 * tau] + 2.72e-9 * cos[0.27466529753 + 319.5732633943 * tau] + 2.87e-9 * cos[1.69638214958 + 2420.9286360334 * tau] + 3.50e-9 * cos[1.50537240918 + 2317.8358618148 * tau] + 2.94e-9 * cos[2.48947693371 + 2641.3412784722 * tau] + 3.28e-9 * cos[3.36132375845 + 1141.1340634054 * tau] + 3.03e-9 * cos[1.63964826684 + 2428.0421830342 * tau] + 3.45e-9 * cos[2.89328206121 + 2957.7331481288 * tau] + 3.16e-9 * cos[0.16949503062 + 1279.794572628 * tau] + 3.28e-9 * cos[2.35571531981 + 1251.3403846248 * tau] + 4.24e-9 * cos[4.29668654117 + 5753.3848848968 * tau] + 3.88e-9 * cos[5.00609647265 + 2015.6710861598 * tau] + 4.05e-9 * cos[3.51005860013 + 2751.5475996916 * tau] + 3.18e-9 * cos[6.11024720065 + 934.9485149682 * tau] + 3.32e-9 * cos[0.37505564414 + 2655.5683724738 * tau] + 3.38e-9 * cos[2.72210106345 + 2324.9494088156 * tau] + 4.24e-9 * cos[4.98974282486 + 3178.1457905676 * tau] + 4.40e-9 * cos[1.46934545869 + 2214.7430875962 * tau] + 3.84e-9 * cos[1.36194621083 + 203.0041546995 * tau] + 4.33e-9 * cos[2.90103969634 + 1063.3140834523 * tau] + 3.93e-9 * cos[1.26351262287 + 210.1177017003 * tau] + 5.33e-9 * cos[2.54756313371 + 1781.0313497194 * tau] + 4.14e-9 * cos[5.37130370397 + 2228.9701815978 * tau] + 5.01e-9 * cos[4.44389802599 + 647.0108333148 * tau] + 5.35e-9 * cos[1.55761050176 + 1994.3304451574 * tau] + 5.17e-9 * cos[1.10660016329 + 107.0249274817 * tau] + 7.11e-9 * cos[3.43538032357 + 824.7421937488 * tau] + 6.24e-9 * cos[2.83657771014 + 1905.4647649404 * tau] + 5.58e-9 * cos[3.96171840325 + 440.8252848776 * tau] + 5.82e-9 * cos[0.84137872868 + 1891.2376709388 * tau] + 7.62e-9 * cos[4.32362906505 + 1802.3719907218 * tau] + 8.22e-9 * cos[6.25170365084 + 423.4167971383 * tau] + 6.35e-9 * cos[0.61458805483 + 9690.7081281172 * tau] + 6.35e-9 * cos[4.53916684689 + 9676.4810341156 * tau] + 6.14e-9 * cos[3.0767735667 + 380.12776796 * tau] + 6.41e-9 * cos[1.86274530783 + 636.7158925763 * tau] + 7.52e-9 * cos[3.03497138894 + 2221.856634597 * tau] + 6.44e-9 * cos[4.68385640894 + 611.4430983108 * tau] + 6.81e-9 * cos[3.11621209674 + 5746.271337896 * tau] + 6.81e-9 * cos[5.47481665606 + 5760.4984318976 * tau] + 6.77e-9 * cos[1.88476058357 + 2104.5367663768 * tau] + 6.50e-9 * cos[1.19590511216 + 422.6660376129 * tau] + 7.61e-9 * cos[1.26393500358 + 1382.8873468466 * tau] + 8.22e-9 * cos[2.74067639972 + 618.5566453116 * tau] + 7.91e-9 * cos[1.6465520211 + 2001.4439921582 * tau] + 7.24e-9 * cos[3.29664246938 + 628.8515860501 * tau] + 7.05e-9 * cos[0.08006443278 + 963.4027029714 * tau] + 7.43e-9 * cos[2.6520965069 + 106.2741679563 * tau] + 7.87e-9 * cos[4.91912237671 + 1055.4497769261 * tau] + 8.20e-9 * cos[1.99735697577 + 2111.6503133776 * tau] + 1.014e-8 * cos[2.80847772922 + 1464.6394800628 * tau] + 7.72e-9 * cos[2.89217715561 + 2008.557539159 * tau] + 8.89e-9 * cos[1.75177808106 + 1898.3512179396 * tau] + 8.36e-9 * cos[2.07492422755 + 1056.2005364515 * tau] + 1.059e-8 * cos[0.13532061468 + 416.3032501375 * tau] + 9.23e-9 * cos[3.53450109212 + 227.5261894396 * tau] + 1.021e-8 * cos[1.9071210266 + 750.1036075334 * tau] + 9.65e-9 * cos[1.17716405513 + 99.9113804809 * tau] + 1.065e-8 * cos[5.06153058155 + 1699.2792165032 * tau] + 1.290e-8 * cos[4.62594234857 + 2648.454825473 * tau] + 9.77e-9 * cos[3.01355125761 + 124.433415221 * tau] + 1.025e-8 * cos[3.75336759986 + 28.4541880032 * tau] + 1.349e-8 * cos[4.01621534182 + 539.9859058331 * tau] + 1.027e-8 * cos[1.99236027398 + 295.0512286542 * tau] + 1.109e-8 * cos[2.97787130235 + 81.7521332162 * tau] + 1.306e-8 * cos[4.76302079847 + 1062.5633239269 * tau] + 1.366e-8 * cos[1.27629917215 + 1038.0412891868 * tau] + 1.182e-8 * cos[2.18142313946 + 1795.258443721 * tau] + 1.189e-8 * cos[1.70223550488 + 1677.9385755008 * tau] + 1.276e-8 * cos[2.26356919237 + 1788.1448967202 * tau] + 1.269e-8 * cos[0.03300387779 + 2125.8774073792 * tau] + 1.420e-8 * cos[1.99288040133 + 629.6023455755 * tau] + 1.403e-8 * cos[4.26712075104 + 551.031606097 * tau] + 1.447e-8 * cos[3.18833439444 + 635.9651330509 * tau] + 1.454e-8 * cos[5.14703918585 + 1375.7737998458 * tau] + 1.451e-8 * cos[4.72055072637 + 32.2433289144 * tau] + 2.041e-8 * cos[6.17114556019 + 330.6189636582 * tau] + 2.274e-8 * cos[3.03360234351 + 1148.2476104062 * tau] + 1.984e-8 * cos[1.88475229557 + 1685.0521225016 * tau] + 2.096e-8 * cos[3.71482580504 + 1485.9801210652 * tau] + 2.203e-8 * cos[2.47960567714 + 721.6494195302 * tau] + 2.462e-8 * cos[2.37173605635 + 1471.7530270636 * tau] + 3.075e-8 * cos[0.99085727534 + 191.9584544356 * tau] + 2.897e-8 * cos[2.05128453665 + 1361.5467058442 * tau] + 2.737e-8 * cos[1.06017230524 + 1574.8458012822 * tau] + 2.745e-8 * cos[2.09685315627 + 1478.8665740644 * tau] + 3.482e-8 * cos[1.53983001273 + 519.3960243561 * tau] + 4.392e-8 * cos[2.27325303667 + 1368.660252845 * tau] + 5.351e-8 * cos[3.65320121089 + 1272.6810256272 * tau] + 3.933e-8 * cos[1.26665387164 + 853.196381752 * tau] + 4.201e-8 * cos[5.28560721767 + 18.1592472647 * tau] + 4.286e-8 * cos[5.07139951645 + 1073.6090241908 * tau] + 4.403e-8 * cos[5.4773726616 + 433.7117378768 * tau] + 4.421e-8 * cos[3.02360159274 + 1692.1656695024 * tau] + 4.676e-8 * cos[1.40846192799 + 1258.4539316256 * tau] + 5.381e-8 * cos[6.00510875948 + 405.2575498736 * tau] + 6.685e-8 * cos[2.17560093281 + 1265.5674786264 * tau] + 6.285e-8 * cos[0.49939863541 + 949.1756089698 * tau] + 8.690e-8 * cos[3.31924493607 + 831.8557407496 * tau] + 9.681e-8 * cos[1.71563161051 + 1581.959348283 * tau] + 7.549e-8 * cos[2.70955516779 + 533.6231183577 * tau] + 7.823e-8 * cos[5.75672228354 + 846.0828347512 * tau] + 8.812e-8 * cos[3.29452783338 + 220.4126424388 * tau] + 9.437e-8 * cos[2.17684563456 + 1155.361157407 * tau] + 1.3920e-7 * cos[5.95169568482 + 316.3918696566 * tau] + 1.0986e-7 * cos[4.43586634639 + 525.7588118315 * tau] + 1.5292e-7 * cos[0.68174165476 + 942.062061969 * tau] + 1.2756e-7 * cos[4.36856232414 + 1169.5882514086 * tau] + 1.3230e-7 * cos[2.51856643603 + 88.865680217 * tau] + 1.3639e-7 * cos[1.80336677963 + 302.164775655 * tau] + 1.4661e-7 * cos[3.99989622586 + 117.3198682202 * tau] + 1.7040e-7 * cos[1.8340214664 + 526.5095713569 * tau] + 1.7058e-7 * cos[4.20001977723 + 2118.7638603784 * tau] + 1.5355e-7 * cos[5.81037986941 + 1596.1864422846 * tau] + 1.7660e-7 * cos[0.8095394156 + 508.3503240922 * tau] + 1.9458e-7 * cos[4.29028644674 + 532.8723588323 * tau] + 2.5194e-7 * cos[1.21868110687 + 1045.1548361876 * tau] + 2.5993e-7 * cos[4.5011829829 + 742.9900605326 * tau] + 2.7814e-7 * cos[3.23992013743 + 838.9692877504 * tau] + 2.3591e-7 * cos[3.00532139306 + 956.2891559706 * tau] + 2.9255e-7 * cos[3.60838327799 + 10.2949407385 * tau] + 2.5620e-7 * cos[2.51240623862 + 1162.4747044078 * tau] + 3.5718e-7 * cos[2.32581247002 + 728.762966531 * tau] + 3.9784e-7 * cos[0.62416945827 + 323.5054166574 * tau] + 4.0150e-7 * cos[4.0248544474 + 21.3406410024 * tau] + 5.8475e-7 * cos[0.83216317444 + 199.0720014364 * tau] + 4.8622e-7 * cos[1.67283791618 + 309.2783226558 * tau] + 5.6910e-7 * cos[3.12292059854 + 213.299095438 * tau] + 8.7292e-7 * cos[2.52235174825 + 632.7837393132 * tau] + 7.2392e-7 * cos[2.21716670026 + 735.8765135318 * tau] + 7.8769e-7 * cos[4.63726131329 + 543.9180590962 * tau] + 9.0823e-7 * cos[1.10630629042 + 95.9792272178 * tau] + 9.6733e-7 * cos[4.03383427887 + 110.2063212194 * tau] + 0.00000117327 * cos[1.41435462588 + 625.6701923124 * tau] + 0.00000141932 * cos[1.63435169016 + 426.598190876 * tau] + 0.0000012957 * cos[5.83738872525 + 412.3710968744 * tau] + 0.00000155862 * cos[1.40642426467 + 1052.2683831884 * tau] + 0.0000014623 * cos[3.81373196838 + 639.897286314 * tau] + 0.00000197445 * cos[2.48356402053 + 3.9321532631 * tau] + 0.00000198883 * cos[5.33996443444 + 1066.49547719 * tau] + 0.00000218408 * cos[3.81389191353 + 1589.0728952838 * tau] + 0.000003082 * cos[0.69356654052 + 206.1855484372 * tau] + 0.00000337386 * cos[3.78644384244 + 3.1813937377 * tau] + 0.00000377524 * cos[0.76048964872 + 515.463871093 * tau] + 0.00000367498 * cos[6.05509120409 + 103.0927742186 * tau] + 0.00000383258 * cos[5.76790714387 + 419.4846438752 * tau] + 0.00001721069 * cos[4.18734385158 + 14.2270940016 * tau] + 0.00002729292 * cos[4.84545481351 + 536.8045120954 * tau] + 0.00002723358 * cos[3.41411526638 + 1059.3819301892 * tau] + 0.00003189317 * cos[1.05504615595 + 522.5774180938 * tau] + 0.0003896555 * cos[0.0 + 0.0 * tau] + 0.00030629053 * cos[2.93021440216 + 529.6909650946 * tau] + 0.00047233598 * cos[4.32148323554 + 7.1135470008 * tau]; L3 = 7.7e-10 * cos[3.80503143236 + 1603.2999892854 * tau] + 7.9e-10 * cos[1.8853315322 + 934.9485149682 * tau] + 7.5e-10 * cos[3.93105183253 + 1055.4497769261 * tau] + 8.8e-10 * cos[2.43775210355 + 440.8252848776 * tau] + 9.7e-10 * cos[4.67188056608 + 647.0108333148 * tau] + 1.40e-9 * cos[4.2708946607 + 1265.5674786264 * tau] + 1.51e-9 * cos[4.30799091626 + 2001.4439921582 * tau] + 1.71e-9 * cos[5.25744961028 + 824.7421937488 * tau] + 1.84e-9 * cos[5.98415847544 + 750.1036075334 * tau] + 1.71e-9 * cos[6.10827209399 + 1382.8873468466 * tau] + 2.20e-9 * cos[3.8747198941 + 2104.5367663768 * tau] + 2.14e-9 * cos[5.48031974537 + 1354.4331588434 * tau] + 1.89e-9 * cos[5.74277274755 + 2627.1141844706 * tau] + 2.31e-9 * cos[2.54516792766 + 1375.7737998458 * tau] + 1.83e-9 * cos[3.30680692414 + 1699.2792165032 * tau] + 2.08e-9 * cos[4.11838429822 + 2097.423219376 * tau] + 1.87e-9 * cos[3.49895198981 + 2648.454825473 * tau] + 1.92e-9 * cos[0.81556540966 + 2221.856634597 * tau] + 2.56e-9 * cos[4.19052619061 + 1781.0313497194 * tau] + 1.99e-9 * cos[5.1704650075 + 618.5566453116 * tau] + 2.11e-9 * cos[3.96419403991 + 295.0512286542 * tau] + 2.42e-9 * cos[2.90163762388 + 2310.722314814 * tau] + 2.77e-9 * cos[3.63353707701 + 1677.9385755008 * tau] + 2.17e-9 * cos[4.58512911216 + 963.4027029714 * tau] + 2.25e-9 * cos[2.5162414978 + 1891.2376709388 * tau] + 2.32e-9 * cos[1.69999081817 + 1692.1656695024 * tau] + 2.57e-9 * cos[1.05361498985 + 1478.8665740644 * tau] + 2.53e-9 * cos[3.12703531516 + 1994.3304451574 * tau] + 3.45e-9 * cos[4.18332148409 + 1788.1448967202 * tau] + 3.22e-9 * cos[3.54763044791 + 846.0828347512 * tau] + 3.04e-9 * cos[3.93228052293 + 1685.0521225016 * tau] + 3.51e-9 * cos[2.06334334462 + 533.6231183577 * tau] + 2.76e-9 * cos[3.83552772064 + 1062.5633239269 * tau] + 2.83e-9 * cos[0.97461612169 + 1905.4647649404 * tau] + 3.05e-9 * cos[2.02797683648 + 1485.9801210652 * tau] + 3.94e-9 * cos[4.52891996323 + 1464.6394800628 * tau] + 3.43e-9 * cos[4.83463725823 + 2125.8774073792 * tau] + 4.28e-9 * cos[2.22472522305 + 539.9859058331 * tau] + 3.85e-9 * cos[4.702951798 + 519.3960243561 * tau] + 3.91e-9 * cos[4.07770324592 + 1471.7530270636 * tau] + 3.77e-9 * cos[1.42957648215 + 124.433415221 * tau] + 4.34e-9 * cos[2.9546175554 + 1038.0412891868 * tau] + 3.83e-9 * cos[0.24287136454 + 611.4430983108 * tau] + 4.80e-9 * cos[3.86758235988 + 1361.5467058442 * tau] + 5.67e-9 * cos[2.27813343743 + 551.031606097 * tau] + 5.07e-9 * cos[4.31396370095 + 330.6189636582 * tau] + 5.10e-9 * cos[4.95846155301 + 1148.2476104062 * tau] + 5.17e-9 * cos[4.35827478516 + 1368.660252845 * tau] + 6.58e-9 * cos[2.02329201466 + 526.5095713569 * tau] + 5.15e-9 * cos[1.57251270902 + 949.1756089698 * tau] + 6.68e-9 * cos[1.96442971289 + 1272.6810256272 * tau] + 5.98e-9 * cos[4.69454609357 + 81.7521332162 * tau] + 6.09e-9 * cos[4.14881313523 + 721.6494195302 * tau] + 6.58e-9 * cos[3.52797311863 + 525.7588118315 * tau] + 6.63e-9 * cos[2.93063953915 + 1574.8458012822 * tau] + 7.22e-9 * cos[3.74673245797 + 433.7117378768 * tau] + 7.66e-9 * cos[3.66351539483 + 1581.959348283 * tau] + 7.10e-9 * cos[5.8979877198 + 853.196381752 * tau] + 8.22e-9 * cos[3.30295824153 + 1258.4539316256 * tau] + 7.97e-9 * cos[1.1070668885 + 1162.4747044078 * tau] + 8.28e-9 * cos[1.48348768286 + 632.7837393132 * tau] + 9.42e-9 * cos[2.70200385825 + 191.9584544356 * tau] + 9.86e-9 * cos[3.39209446167 + 532.8723588323 * tau] + 1.227e-8 * cos[3.45959919972 + 1073.6090241908 * tau] + 1.257e-8 * cos[3.97811260358 + 1155.361157407 * tau] + 1.585e-8 * cos[1.40097680805 + 405.2575498736 * tau] + 1.937e-8 * cos[5.01388256693 + 831.8557407496 * tau] + 1.457e-8 * cos[3.09381959396 + 2118.7638603784 * tau] + 1.474e-8 * cos[1.61011468581 + 220.4126424388 * tau] + 2.279e-8 * cos[2.3558187123 + 942.062061969 * tau] + 1.948e-8 * cos[2.77248294666 + 1169.5882514086 * tau] + 2.656e-8 * cos[5.01505839848 + 838.9692877504 * tau] + 2.371e-8 * cos[2.89662409244 + 742.9900605326 * tau] + 2.553e-8 * cos[2.23785673285 + 117.3198682202 * tau] + 2.661e-8 * cos[1.25276590759 + 213.299095438 * tau] + 2.783e-8 * cos[4.3581750767 + 1596.1864422846 * tau] + 3.269e-8 * cos[1.43175991274 + 956.2891559706 * tau] + 3.774e-8 * cos[4.09125315146 + 735.8765135318 * tau] + 3.857e-8 * cos[3.52381361552 + 302.164775655 * tau] + 3.996e-8 * cos[4.30290261177 + 88.865680217 * tau] + 5.399e-8 * cos[2.91184687105 + 1045.1548361876 * tau] + 5.675e-8 * cos[2.52096417685 + 508.3503240922 * tau] + 5.368e-8 * cos[5.25196153539 + 323.5054166574 * tau] + 6.527e-8 * cos[4.03869562907 + 728.762966531 * tau] + 8.701e-8 * cos[1.76334960737 + 10.2949407385 * tau] + 6.725e-8 * cos[3.42566433316 + 309.2783226558 * tau] + 8.637e-8 * cos[2.26563256289 + 110.2063212194 * tau] + 1.2611e-7 * cos[6.265781104 + 426.598190876 * tau] + 1.3234e-7 * cos[2.5386224434 + 199.0720014364 * tau] + 1.3392e-7 * cos[2.75973892202 + 95.9792272178 * tau] + 1.6055e-7 * cos[3.36030126297 + 1052.2683831884 * tau] + 1.6214e-7 * cos[3.14521117299 + 625.6701923124 * tau] + 1.6774e-7 * cos[2.59821460673 + 1589.0728952838 * tau] + 1.7033e-7 * cos[2.30214681202 + 21.3406410024 * tau] + 1.8768e-7 * cos[1.593684035 + 103.0927742186 * tau] + 1.9740e-7 * cos[1.40255938973 + 419.4846438752 * tau] + 1.9798e-7 * cos[2.10099934005 + 639.897286314 * tau] + 2.8457e-7 * cos[2.44754756058 + 206.1855484372 * tau] + 2.3737e-7 * cos[1.27667172313 + 412.3710968744 * tau] + 2.2644e-7 * cos[2.98231326774 + 543.9180590962 * tau] + 4.4378e-7 * cos[0.0 + 0.0 * tau] + 3.3538e-7 * cos[3.82633794497 + 1066.49547719 * tau] + 8.6771e-7 * cos[2.51431584316 + 515.463871093 * tau] + 0.0000015488 * cos[2.07565585817 + 1059.3819301892 * tau] + 0.00000352851 * cos[2.97360159003 + 522.5774180938 * tau] + 0.0000041696 * cos[3.24451243214 + 536.8045120954 * tau] + 0.00000470716 * cos[2.47503977883 + 14.2270940016 * tau] + 0.00001356524 * cos[1.34635886411 + 529.6909650946 * tau] + 0.00006501665 * cos[2.59862880482 + 7.1135470008 * tau]; L4 = 7.5e-10 * cos[3.13198879608 + 632.7837393132 * tau] + 8.5e-10 * cos[5.023172562 + 1155.361157407 * tau] + 9.3e-10 * cos[5.60436000012 + 1581.959348283 * tau] + 1.57e-9 * cos[3.02963907392 + 1272.6810256272 * tau] + 1.64e-9 * cos[1.92864127211 + 2118.7638603784 * tau] + 1.80e-9 * cos[3.43266428069 + 1148.2476104062 * tau] + 1.88e-9 * cos[2.16135407548 + 1361.5467058442 * tau] + 1.88e-9 * cos[1.12654974776 + 1169.5882514086 * tau] + 2.12e-9 * cos[0.43917684084 + 220.4126424388 * tau] + 2.51e-9 * cos[1.79898001222 + 1073.6090241908 * tau] + 3.19e-9 * cos[0.47990052824 + 831.8557407496 * tau] + 2.95e-9 * cos[4.32713459459 + 942.062061969 * tau] + 3.31e-9 * cos[2.95893485883 + 1596.1864422846 * tau] + 3.19e-9 * cos[3.47979828725 + 323.5054166574 * tau] + 3.46e-9 * cos[4.78348312106 + 508.3503240922 * tau] + 4.21e-9 * cos[0.59561318533 + 117.3198682202 * tau] + 3.81e-9 * cos[5.2546696604 + 309.2783226558 * tau] + 3.93e-9 * cos[6.24184621807 + 956.2891559706 * tau] + 4.15e-9 * cos[5.22809480633 + 302.164775655 * tau] + 6.70e-9 * cos[0.522233077 + 110.2063212194 * tau] + 7.68e-9 * cos[3.54672049322 + 103.0927742186 * tau] + 7.84e-9 * cos[3.4016156795 + 419.4846438752 * tau] + 8.90e-9 * cos[4.55299189579 + 426.598190876 * tau] + 9.16e-9 * cos[5.77537499431 + 728.762966531 * tau] + 9.35e-9 * cos[6.05847062188 + 88.865680217 * tau] + 9.82e-9 * cos[4.77990073662 + 1045.1548361876 * tau] + 1.086e-8 * cos[1.28604571172 + 1589.0728952838 * tau] + 1.203e-8 * cos[4.71614633845 + 95.9792272178 * tau] + 1.375e-8 * cos[5.25546955667 + 1052.2683831884 * tau] + 1.695e-8 * cos[4.26147580803 + 206.1855484372 * tau] + 1.902e-8 * cos[4.25925620271 + 199.0720014364 * tau] + 1.762e-8 * cos[4.90536207307 + 625.6701923124 * tau] + 2.055e-8 * cos[0.39858940218 + 639.897286314 * tau] + 3.100e-8 * cos[3.00245542678 + 412.3710968744 * tau] + 4.251e-8 * cos[0.48326797501 + 21.3406410024 * tau] + 4.484e-8 * cos[2.31715516627 + 1066.49547719 * tau] + 4.957e-8 * cos[1.29502259434 + 543.9180590962 * tau] + 8.899e-8 * cos[0.71478520741 + 1059.3819301892 * tau] + 1.4742e-7 * cos[4.29061635784 + 515.463871093 * tau] + 3.1813e-7 * cos[4.8582998665 + 522.5774180938 * tau] + 4.3585e-7 * cos[5.82026386621 + 529.6909650946 * tau] + 5.0024e-7 * cos[1.65346208248 + 536.8045120954 * tau] + 0.00000114019 * cos[3.14159265359 + 0.0 * tau] + 9.9961e-7 * cos[0.74258947751 + 14.2270940016 * tau] + 0.00000669483 * cos[0.8528242109 + 7.1135470008 * tau]; L5 = 9.0e-10 * cos[0.2117811971 + 529.6909650946 * tau] + 2.93e-9 * cos[5.62909357048 + 1059.3819301892 * tau] + 4.56e-9 * cos[0.81521692852 + 1066.49547719 * tau] + 8.45e-9 * cos[3.14159265359 + 0.0 * tau] + 6.94e-9 * cos[0.87382487754 + 515.463871093 * tau] + 7.28e-9 * cos[5.85949047619 + 543.9180590962 * tau] + 1.526e-8 * cos[1.09739911439 + 522.5774180938 * tau] + 4.343e-8 * cos[0.01461869263 + 536.8045120954 * tau] + 1.5761e-7 * cos[5.25126837478 + 14.2270940016 * tau] + 4.9577e-7 * cos[5.25658966184 + 7.1135470008 * tau]; B0 = 9.5e-10 * cos[1.66362447044 + 1151.4290041439 * tau] + 7.4e-10 * cos[3.86865238736 + 3067.9394693482 * tau] + 8.0e-10 * cos[0.38766601876 + 4694.0029547076 * tau] + 1.03e-9 * cos[1.63066232967 + 1894.4190646765 * tau] + 1.02e-9 * cos[3.64093193142 + 3171.0322435668 * tau] + 9.2e-10 * cos[1.65166124027 + 860.3099287528 * tau] + 1.14e-9 * cos[2.96523316419 + 1166.4068576709 * tau] + 1.06e-9 * cos[5.18592950792 + 2281.2304965106 * tau] + 9.3e-10 * cos[4.88949890397 + 1098.7388061044 * tau] + 1.29e-9 * cos[0.09702914345 + 2332.0629558164 * tau] + 1.37e-9 * cos[2.41724947062 + 3274.1250177854 * tau] + 1.35e-9 * cos[3.60177675518 + 124.433415221 * tau] + 1.21e-9 * cos[0.61420823557 + 1592.2542890215 * tau] + 1.21e-9 * cos[1.60252617273 + 10.2949407385 * tau] + 1.31e-9 * cos[1.37610474529 + 1023.9572075371 * tau] + 1.26e-9 * cos[2.40833814513 + 106.2741679563 * tau] + 1.15e-9 * cos[2.35735471566 + 1550.939859646 * tau] + 1.31e-9 * cos[1.67926417552 + 1289.9465010146 * tau] + 1.21e-9 * cos[3.39770381916 + 18.1592472647 * tau] + 1.22e-9 * cos[3.21027426317 + 3377.217792004 * tau] + 1.25e-9 * cos[2.35496721797 + 3163.918696566 * tau] + 1.19e-9 * cos[4.08266911415 + 1585.8915015461 * tau] + 1.58e-9 * cos[3.76231915252 + 92.0470739547 * tau] + 1.44e-9 * cos[3.60261852727 + 1058.4187223427 * tau] + 1.23e-9 * cos[0.46184813516 + 647.0108333148 * tau] + 1.23e-9 * cos[4.77865550523 + 2524.021410252 * tau] + 1.27e-9 * cos[0.39825164051 + 70.8494453042 * tau] + 1.26e-9 * cos[3.41994798109 + 2.4476805548 * tau] + 1.26e-9 * cos[5.14832919826 + 2207.6295405954 * tau] + 1.78e-9 * cos[0.27566275049 + 3906.9087570986 * tau] + 1.44e-9 * cos[6.13954848857 + 1158.5425511447 * tau] + 1.44e-9 * cos[5.3576312243 + 107.0249274817 * tau] + 1.42e-9 * cos[0.70435921398 + 522.529233984 * tau] + 1.73e-9 * cos[3.62399350412 + 230.5645708254 * tau] + 1.58e-9 * cos[1.7447274873 + 529.9515975255 * tau] + 1.58e-9 * cos[2.59595816107 + 529.4303326637 * tau] + 1.60e-9 * cos[1.81852636004 + 312.4597163935 * tau] + 1.51e-9 * cos[1.17096741034 + 1060.3451380357 * tau] + 1.91e-9 * cos[3.3315928375 + 535.8413042489 * tau] + 1.63e-9 * cos[4.62850343495 + 2015.6710861598 * tau] + 1.62e-9 * cos[5.87784787295 + 3480.3105662226 * tau] + 2.10e-9 * cos[3.75793720248 + 2854.6403739102 * tau] + 2.11e-9 * cos[1.00937080256 + 523.5406259403 * tau] + 1.70e-9 * cos[4.96479470273 + 1464.6394800628 * tau] + 2.00e-9 * cos[1.27632489123 + 39.3568759152 * tau] + 2.24e-9 * cos[0.33130232434 + 565.1156877467 * tau] + 1.71e-9 * cos[0.85473611718 + 1603.2999892854 * tau] + 2.34e-9 * cos[1.3447482745 + 173.9422195228 * tau] + 1.87e-9 * cos[2.72587420586 + 299.1263942692 * tau] + 1.76e-9 * cos[4.26298906325 + 672.1406152284 * tau] + 2.41e-9 * cos[4.03927631611 + 494.2662424425 * tau] + 1.80e-9 * cos[0.04531671003 + 387.2413149608 * tau] + 1.79e-9 * cos[3.91470663005 + 3340.6124266998 * tau] + 1.91e-9 * cos[4.26821147044 + 430.5303441391 * tau] + 2.64e-9 * cos[3.62722625694 + 2420.9286360334 * tau] + 2.05e-9 * cos[3.3618688829 + 2847.5268269094 * tau] + 2.34e-9 * cos[1.68821537711 + 2655.5683724738 * tau] + 2.72e-9 * cos[1.65708415457 + 3060.8259223474 * tau] + 2.83e-9 * cos[2.8870971609 + 35.4247226521 * tau] + 2.14e-9 * cos[5.83569926578 + 544.6688186216 * tau] + 2.16e-9 * cos[0.5220766798 + 2228.9701815978 * tau] + 2.17e-9 * cos[3.46278526461 + 2950.619601128 * tau] + 2.21e-9 * cos[4.32763468981 + 1677.9385755008 * tau] + 2.22e-9 * cos[4.78828764413 + 514.7131115676 * tau] + 3.13e-9 * cos[4.88085697819 + 528.2064923863 * tau] + 3.08e-9 * cos[2.67237933272 + 2957.7331481288 * tau] + 2.50e-9 * cos[0.42860925124 + 1969.2006632438 * tau] + 2.65e-9 * cos[4.93075479744 + 679.2541622292 * tau] + 2.89e-9 * cos[1.86070918711 + 21.3406410024 * tau] + 2.54e-9 * cos[2.98312992496 + 1134.1635287565 * tau] + 2.95e-9 * cos[1.84394223501 + 547.8502123593 * tau] + 3.06e-9 * cos[2.5028901737 + 511.5317178299 * tau] + 2.69e-9 * cos[1.06051406954 + 1585.1407420207 * tau] + 2.75e-9 * cos[3.34108666036 + 518.6452648307 * tau] + 2.68e-9 * cos[5.39275891813 + 1891.2376709388 * tau] + 3.70e-9 * cos[5.71572992274 + 531.1754378029 * tau] + 2.91e-9 * cos[5.8313407182 + 1148.2476104062 * tau] + 2.79e-9 * cos[1.60669121578 + 643.8294395771 * tau] + 2.92e-9 * cos[2.63594456361 + 415.5524906121 * tau] + 3.00e-9 * cos[3.70331799503 + 2634.2277314714 * tau] + 3.10e-9 * cos[3.45966511571 + 529.4785167735 * tau] + 3.10e-9 * cos[0.88102053266 + 529.9034134157 * tau] + 3.59e-9 * cos[0.82922836987 + 1059.3337460794 * tau] + 4.24e-9 * cos[2.7092967003 + 1038.0412891868 * tau] + 3.86e-9 * cos[2.15984900214 + 9153.9036160218 * tau] + 4.71e-9 * cos[6.05791940453 + 1471.7530270636 * tau] + 3.58e-9 * cos[5.94423960514 + 440.8252848776 * tau] + 4.43e-9 * cos[5.27513700376 + 1.4844727083 * tau] + 3.56e-9 * cos[2.66818105522 + 835.0371344873 * tau] + 3.59e-9 * cos[4.02704454075 + 1059.430114299 * tau] + 5.19e-9 * cos[0.54543519483 + 1061.829610744 * tau] + 4.15e-9 * cos[0.96548127237 + 2435.155730035 * tau] + 5.35e-9 * cos[4.80455380313 + 1593.0050485469 * tau] + 5.05e-9 * cos[5.36536256321 + 1057.8974574809 * tau] + 4.57e-9 * cos[4.17708652827 + 2104.5367663768 * tau] + 3.98e-9 * cos[1.40345870113 + 960.2213092337 * tau] + 5.20e-9 * cos[2.57406093768 + 535.107591066 * tau] + 4.54e-9 * cos[4.53321742354 + 1056.9342496344 * tau] + 5.28e-9 * cos[1.76471074936 + 524.2743391232 * tau] + 4.99e-9 * cos[4.13924061941 + 534.3568315406 * tau] + 4.28e-9 * cos[5.4480466029 + 11.0457002639 * tau] + 4.50e-9 * cos[5.02467015031 + 1048.3362299253 * tau] + 4.49e-9 * cos[3.71676131146 + 529.851023789 * tau] + 4.49e-9 * cos[0.62392433691 + 529.5309064002 * tau] + 4.93e-9 * cos[0.39160693598 + 224.3447957019 * tau] + 5.32e-9 * cos[0.20040217534 + 525.0250986486 * tau] + 4.96e-9 * cos[2.19398015038 + 1514.2912967165 * tau] + 5.70e-9 * cos[0.61976758791 + 540.7366653585 * tau] + 4.91e-9 * cos[3.63039940597 + 2531.1349572528 * tau] + 5.16e-9 * cos[3.69478866795 + 535.3200393871 * tau] + 5.24e-9 * cos[0.64710955846 + 524.0618908021 * tau] + 6.59e-9 * cos[0.62560671589 + 1512.8068240082 * tau] + 5.16e-9 * cos[1.09376390349 + 934.9485149682 * tau] + 5.18e-9 * cos[0.26343805959 + 551.031606097 * tau] + 6.02e-9 * cos[1.56074089013 + 454.9093665273 * tau] + 5.32e-9 * cos[2.62425372687 + 99.1606209555 * tau] + 5.44e-9 * cos[2.22227019273 + 2744.4340526908 * tau] + 5.13e-9 * cos[4.98337900151 + 302.164775655 * tau] + 5.25e-9 * cos[6.22318693939 + 539.9859058331 * tau] + 5.43e-9 * cos[0.26376529935 + 227.5261894396 * tau] + 6.63e-9 * cos[1.57092786811 + 6283.0758499914 * tau] + 6.63e-9 * cos[0.73722024843 + 5223.6939198022 * tau] + 6.68e-9 * cos[3.15607509055 + 533.8837507886 * tau] + 6.45e-9 * cos[5.10510349996 + 1361.5467058442 * tau] + 6.79e-9 * cos[1.18645749024 + 525.4981794006 * tau] + 8.01e-9 * cos[4.03984430862 + 1364.7280995819 * tau] + 6.56e-9 * cos[4.39568451439 + 519.3960243561 * tau] + 7.08e-9 * cos[4.00539820601 + 530.44172462 * tau] + 7.08e-9 * cos[0.33555577415 + 528.9402055692 * tau] + 7.11e-9 * cos[4.11107052823 + 2751.5475996916 * tau] + 8.68e-9 * cos[3.44331872364 + 569.0478410098 * tau] + 8.62e-9 * cos[0.87975657414 + 490.3340891794 * tau] + 7.26e-9 * cos[3.98337964395 + 2317.8358618148 * tau] + 7.61e-9 * cos[1.38163787157 + 532.6117264014 * tau] + 1.017e-8 * cos[5.55711112145 + 199.0720014364 * tau] + 7.70e-9 * cos[2.96062737592 + 526.7702037878 * tau] + 8.17e-9 * cos[5.93809619876 + 831.8557407496 * tau] + 9.20e-9 * cos[1.14672086939 + 963.4027029714 * tau] + 9.46e-9 * cos[3.9392774812 + 508.3503240922 * tau] + 9.48e-9 * cos[0.21552742733 + 750.1036075334 * tau] + 9.78e-9 * cos[0.25223689838 + 983.1158589136 * tau] + 1.124e-8 * cos[1.5956036748 + 3.1813937377 * tau] + 9.54e-9 * cos[3.86932544808 + 728.762966531 * tau] + 1.266e-8 * cos[3.04704446731 + 604.4725636619 * tau] + 1.009e-8 * cos[3.19608028376 + 2538.2485042536 * tau] + 1.226e-8 * cos[5.34003255221 + 3178.1457905676 * tau] + 1.050e-8 * cos[4.68011652614 + 1788.1448967202 * tau] + 1.056e-8 * cos[3.80579750957 + 76.2660712756 * tau] + 1.324e-8 * cos[2.23549334986 + 530.2122299564 * tau] + 1.223e-8 * cos[2.86681556337 + 1382.8873468466 * tau] + 1.230e-8 * cos[0.1955272822 + 305.3461693927 * tau] + 1.346e-8 * cos[3.2759149254 + 2641.3412784722 * tau] + 1.320e-8 * cos[1.33770977126 + 618.5566453116 * tau] + 1.594e-8 * cos[2.07556780757 + 1021.2488945514 * tau] + 1.451e-8 * cos[2.39804501178 + 2428.0421830342 * tau] + 1.325e-8 * cos[1.74025919863 + 529.1697002328 * tau] + 1.604e-8 * cos[1.98841031703 + 38.1330356378 * tau] + 1.393e-8 * cos[3.69324470827 + 2214.7430875962 * tau] + 1.579e-8 * cos[6.11640144795 + 1802.3719907218 * tau] + 1.667e-8 * cos[0.36037092553 + 10213.285546211 * tau] + 2.029e-8 * cos[3.97938086639 + 1056.2005364515 * tau] + 1.714e-8 * cos[4.12945878208 + 2001.4439921582 * tau] + 1.742e-8 * cos[4.49909767044 + 1258.4539316256 * tau] + 2.269e-8 * cos[1.30379329597 + 3.9321532631 * tau] + 2.527e-8 * cos[5.9445820295 + 909.8187330546 * tau] + 1.988e-8 * cos[2.85269577619 + 1574.8458012822 * tau] + 2.596e-8 * cos[3.30510149086 + 2324.9494088156 * tau] + 2.464e-8 * cos[1.1691330442 + 453.424893819 * tau] + 2.232e-8 * cos[0.26149880534 + 1062.5633239269 * tau] + 2.983e-8 * cos[3.2525120722 + 528.7277572481 * tau] + 2.837e-8 * cos[0.05987107395 + 1439.5096981492 * tau] + 2.727e-8 * cos[4.37679213321 + 149.5631971346 * tau] + 3.162e-8 * cos[1.2504841642 + 330.6189636582 * tau] + 2.975e-8 * cos[0.72268908074 + 530.6541729411 * tau] + 3.091e-8 * cos[0.16470256025 + 1699.2792165032 * tau] + 4.229e-8 * cos[2.23767157901 + 74.7815985673 * tau] + 3.457e-8 * cos[3.43865563497 + 1485.9801210652 * tau] + 3.409e-8 * cos[4.05398247269 + 1898.3512179396 * tau] + 3.763e-8 * cos[0.38865925413 + 529.6427809848 * tau] + 4.666e-8 * cos[5.88762905802 + 639.897286314 * tau] + 4.731e-8 * cos[6.16377350841 + 532.1386456494 * tau] + 3.762e-8 * cos[3.58647039394 + 529.7391492044 * tau] + 3.974e-8 * cos[1.33608029246 + 2125.8774073792 * tau] + 4.709e-8 * cos[1.84067645204 + 984.6003316219 * tau] + 4.010e-8 * cos[0.51530008355 + 1073.6090241908 * tau] + 4.737e-8 * cos[4.0930301685 + 527.2432845398 * tau] + 5.936e-8 * cos[4.32059910537 + 1063.3140834523 * tau] + 5.421e-8 * cos[4.08612438558 + 1685.0521225016 * tau] + 4.939e-8 * cos[0.73756716762 + 1905.4647649404 * tau] + 5.028e-8 * cos[0.72750312028 + 1055.4497769261 * tau] + 6.151e-8 * cos[2.69100382247 + 380.12776796 * tau] + 7.439e-8 * cos[2.94638292086 + 412.3710968744 * tau] + 8.771e-8 * cos[0.40456546655 + 220.4126424388 * tau] + 1.0632e-7 * cos[5.23487936086 + 95.9792272178 * tau] + 1.0179e-7 * cos[2.58691128827 + 117.3198682202 * tau] + 1.3505e-7 * cos[3.2812697576 + 1155.361157407 * tau] + 1.0815e-7 * cos[5.81958878617 + 1272.6810256272 * tau] + 1.0702e-7 * cos[3.70181397065 + 2221.856634597 * tau] + 1.1830e-7 * cos[4.76527836803 + 309.2783226558 * tau] + 1.1291e-7 * cos[0.98957560201 + 433.7117378768 * tau] + 1.1734e-7 * cos[2.83006431723 + 2008.557539159 * tau] + 1.1904e-7 * cos[3.09811974536 + 2111.6503133776 * tau] + 1.3396e-7 * cos[2.30539585502 + 853.196381752 * tau] + 1.7325e-7 * cos[1.61550009206 + 14.2270940016 * tau] + 1.5740e-7 * cos[1.15130330106 + 942.062061969 * tau] + 2.1314e-7 * cos[2.69476951059 + 1045.1548361876 * tau] + 1.6234e-7 * cos[4.83515727869 + 1368.660252845 * tau] + 1.7879e-7 * cos[3.08704395969 + 1795.258443721 * tau] + 2.1116e-7 * cos[4.96322972735 + 2648.454825473 * tau] + 2.4436e-7 * cos[6.10947656959 + 1169.5882514086 * tau] + 2.3202e-7 * cos[4.06473368575 + 526.5095713569 * tau] + 2.2841e-7 * cos[6.19262787685 + 532.8723588323 * tau] + 2.3255e-7 * cos[5.95197992848 + 838.9692877504 * tau] + 2.9209e-7 * cos[5.43145863011 + 206.1855484372 * tau] + 2.8353e-7 * cos[1.53532744749 + 625.6701923124 * tau] + 4.8831e-7 * cos[3.57260550671 + 533.6231183577 * tau] + 4.9691e-7 * cos[0.18649893085 + 543.9180590962 * tau] + 6.3456e-7 * cos[4.50073574333 + 735.8765135318 * tau] + 5.5194e-7 * cos[0.40176412035 + 525.7588118315 * tau] + 5.1986e-7 * cos[0.99007119033 + 1596.1864422846 * tau] + 5.5597e-7 * cos[0.37500753017 + 1375.7737998458 * tau] + 6.9935e-7 * cos[2.56006216424 + 956.2891559706 * tau] + 7.8650e-7 * cos[3.98318653238 + 1265.5674786264 * tau] + 0.00000103762 * cos[3.7010383811 + 515.463871093 * tau] + 0.0000010242 * cos[3.15293785436 + 1581.959348283 * tau] + 0.00000116379 * cos[1.38688232033 + 323.5054166574 * tau] + 0.00000103402 * cos[2.31878999565 + 1478.8665740644 * tau] + 0.0000013216 * cos[4.7781699067 + 742.9900605326 * tau] + 0.00000115038 * cos[5.04892295442 + 316.3918696566 * tau] + 0.00000123148 * cos[3.34968181384 + 1692.1656695024 * tau] + 0.00000351433 * cos[4.61062990714 + 2118.7638603784 * tau] + 0.00000431072 * cos[2.60825000494 + 419.4846438752 * tau] + 0.00000464449 * cos[1.17337249185 + 949.1756089698 * tau] + 0.00000558524 * cos[0.01354830508 + 846.0828347512 * tau] + 0.0000053167 * cos[2.70305954352 + 110.2063212194 * tau] + 0.00000835861 * cos[5.17881973234 + 103.0927742186 * tau] + 0.00000629223 * cos[0.64343282328 + 1066.49547719 * tau] + 0.0000068422 * cos[3.67808770098 + 213.299095438 * tau] + 0.00000944328 * cos[1.67522288396 + 426.598190876 * tau] + 0.0000076728 * cos[2.1547359406 + 632.7837393132 * tau] + 0.00000894088 * cos[1.75447429921 + 7.1135470008 * tau] + 0.00000941651 * cos[2.93619072405 + 1052.2683831884 * tau] + 0.0000110688 * cos[2.98534421928 + 1162.4747044078 * tau] + 0.00006437782 * cos[0.30627121409 + 536.8045120954 * tau] + 0.00006043996 * cos[4.25883108794 + 1589.0728952838 * tau] + 0.00008101427 * cos[3.60509573368 + 522.5774180938 * tau] + 0.00110090358 * cos[0.0 + 0.0 * tau] + 0.00109971634 * cos[3.90809347389 + 1059.3819301892 * tau] + 0.02268615703 * cos[3.55852606718 + 529.6909650946 * tau]; B1 = 7.8e-10 * cos[5.97323507836 + 1585.8915015461 * tau] + 7.2e-10 * cos[5.57619428876 + 530.44172462 * tau] + 7.2e-10 * cos[1.90578907085 + 528.9402055692 * tau] + 9.5e-10 * cos[3.30154605532 + 2317.8358618148 * tau] + 8.7e-10 * cos[6.23817512863 + 6283.0758499914 * tau] + 9.2e-10 * cos[2.44863388631 + 490.3340891794 * tau] + 8.4e-10 * cos[0.44180206332 + 1593.0050485469 * tau] + 1.03e-9 * cos[4.70399583323 + 305.3461693927 * tau] + 1.15e-9 * cos[3.59221021604 + 2015.6710861598 * tau] + 1.01e-9 * cos[0.15815934254 + 2655.5683724738 * tau] + 9.3e-10 * cos[5.8473777184 + 2324.9494088156 * tau] + 1.06e-9 * cos[6.08434275898 + 10.2949407385 * tau] + 1.02e-9 * cos[4.48856749557 + 2001.4439921582 * tau] + 1.15e-9 * cos[3.29206553804 + 3.9321532631 * tau] + 1.45e-9 * cos[2.94976686191 + 454.9093665273 * tau] + 1.33e-9 * cos[5.65694269884 + 76.2660712756 * tau] + 1.18e-9 * cos[5.38352943814 + 1891.2376709388 * tau] + 1.32e-9 * cos[3.98820790955 + 530.2122299564 * tau] + 1.33e-9 * cos[3.49297492409 + 529.1697002328 * tau] + 1.33e-9 * cos[5.43193972385 + 1603.2999892854 * tau] + 1.29e-9 * cos[6.15206333598 + 547.8502123593 * tau] + 1.30e-9 * cos[4.88155705493 + 2531.1349572528 * tau] + 1.43e-9 * cos[2.21577268292 + 1439.5096981492 * tau] + 1.33e-9 * cos[5.45026366125 + 2641.3412784722 * tau] + 1.84e-9 * cos[4.48850356629 + 604.4725636619 * tau] + 1.76e-9 * cos[5.64331384323 + 963.4027029714 * tau] + 1.82e-9 * cos[3.62401009613 + 38.1330356378 * tau] + 1.49e-9 * cos[1.06678990744 + 831.8557407496 * tau] + 1.52e-9 * cos[0.68077486546 + 1905.4647649404 * tau] + 1.68e-9 * cos[5.40141749419 + 524.2743391232 * tau] + 2.00e-9 * cos[1.48040474749 + 302.164775655 * tau] + 1.94e-9 * cos[0.57050756837 + 1361.5467058442 * tau] + 1.78e-9 * cos[4.51895208036 + 3178.1457905676 * tau] + 1.93e-9 * cos[4.35426216497 + 511.5317178299 * tau] + 1.90e-9 * cos[4.5461519326 + 2104.5367663768 * tau] + 1.96e-9 * cos[5.35950443033 + 2214.7430875962 * tau] + 2.88e-9 * cos[4.26655874393 + 1802.3719907218 * tau] + 2.70e-9 * cos[0.18549916939 + 21.3406410024 * tau] + 2.36e-9 * cos[4.63162956792 + 526.7702037878 * tau] + 3.06e-9 * cos[0.68420442848 + 380.12776796 * tau] + 2.35e-9 * cos[4.81644489422 + 535.107591066 * tau] + 2.97e-9 * cos[2.56584512211 + 530.6541729411 * tau] + 2.99e-9 * cos[1.43093538841 + 909.8187330546 * tau] + 3.60e-9 * cos[3.91050161665 + 74.7815985673 * tau] + 2.72e-9 * cos[2.3534696034 + 534.3568315406 * tau] + 3.40e-9 * cos[4.5653707022 + 750.1036075334 * tau] + 2.98e-9 * cos[5.09589374634 + 528.7277572481 * tau] + 2.82e-9 * cos[4.85996662231 + 1788.1448967202 * tau] + 3.10e-9 * cos[5.58150418981 + 2428.0421830342 * tau] + 3.01e-9 * cos[4.09378934049 + 440.8252848776 * tau] + 3.83e-9 * cos[6.12255867339 + 149.5631971346 * tau] + 4.76e-9 * cos[5.93625415892 + 527.2432845398 * tau] + 3.64e-9 * cos[3.35456685746 + 2221.856634597 * tau] + 3.89e-9 * cos[1.92698506631 + 525.0250986486 * tau] + 3.76e-9 * cos[5.42971857629 + 529.7391492044 * tau] + 4.51e-9 * cos[3.75869883836 + 984.6003316219 * tau] + 3.76e-9 * cos[2.23190744786 + 529.6427809848 * tau] + 4.58e-9 * cos[4.44604993015 + 1038.0412891868 * tau] + 4.73e-9 * cos[1.72405831407 + 532.1386456494 * tau] + 3.82e-9 * cos[4.86764073919 + 227.5261894396 * tau] + 4.15e-9 * cos[1.34693184108 + 1382.8873468466 * tau] + 4.69e-9 * cos[3.81715950042 + 2008.557539159 * tau] + 5.17e-9 * cos[0.05161181997 + 3.1813937377 * tau] + 4.94e-9 * cos[4.43417307482 + 539.9859058331 * tau] + 5.52e-9 * cos[4.8065772945 + 551.031606097 * tau] + 5.87e-9 * cos[1.37658820775 + 199.0720014364 * tau] + 6.07e-9 * cos[3.15707515246 + 618.5566453116 * tau] + 7.02e-9 * cos[5.04126574492 + 1685.0521225016 * tau] + 6.57e-9 * cos[5.63765568876 + 1898.3512179396 * tau] + 7.49e-9 * cos[6.1440086203 + 519.3960243561 * tau] + 1.002e-8 * cos[4.79949608524 + 1055.4497769261 * tau] + 1.083e-8 * cos[3.99886917926 + 1471.7530270636 * tau] + 1.438e-8 * cos[5.78105679279 + 1056.2005364515 * tau] + 1.092e-8 * cos[4.68797557406 + 1699.2792165032 * tau] + 1.165e-8 * cos[5.66275740881 + 508.3503240922 * tau] + 1.359e-8 * cos[5.16511980864 + 838.9692877504 * tau] + 1.333e-8 * cos[4.84260898693 + 1062.5633239269 * tau] + 1.510e-8 * cos[2.79374165455 + 1485.9801210652 * tau] + 1.614e-8 * cos[4.36839107221 + 728.762966531 * tau] + 1.916e-8 * cos[0.85150399517 + 1368.660252845 * tau] + 1.529e-8 * cos[5.81660291389 + 1258.4539316256 * tau] + 1.741e-8 * cos[4.58650290431 + 1574.8458012822 * tau] + 1.875e-8 * cos[5.81006158403 + 330.6189636582 * tau] + 1.645e-8 * cos[0.08830372958 + 1063.3140834523 * tau] + 2.011e-8 * cos[5.00936865256 + 412.3710968744 * tau] + 1.703e-8 * cos[6.12660562937 + 2125.8774073792 * tau] + 1.822e-8 * cos[1.98842964323 + 1375.7737998458 * tau] + 1.794e-8 * cos[4.60765219417 + 1272.6810256272 * tau] + 1.968e-8 * cos[0.57192251841 + 309.2783226558 * tau] + 2.466e-8 * cos[4.2227835543 + 2648.454825473 * tau] + 2.558e-8 * cos[5.46955948791 + 1795.258443721 * tau] + 2.425e-8 * cos[3.74438653232 + 742.9900605326 * tau] + 2.772e-8 * cos[5.09066125724 + 2111.6503133776 * tau] + 2.892e-8 * cos[4.9041891666 + 220.4126424388 * tau] + 3.360e-8 * cos[5.10133284081 + 1692.1656695024 * tau] + 3.091e-8 * cos[5.09115860882 + 1073.6090241908 * tau] + 3.859e-8 * cos[0.69640284662 + 853.196381752 * tau] + 3.704e-8 * cos[0.90226777963 + 95.9792272178 * tau] + 4.020e-8 * cos[5.50502127885 + 433.7117378768 * tau] + 4.615e-8 * cos[0.83374662294 + 117.3198682202 * tau] + 5.646e-8 * cos[3.40915964493 + 639.897286314 * tau] + 7.793e-8 * cos[3.84684930196 + 625.6701923124 * tau] + 8.884e-8 * cos[4.87430124264 + 1155.361157407 * tau] + 8.825e-8 * cos[1.55897920307 + 426.598190876 * tau] + 7.712e-8 * cos[2.99160389601 + 942.062061969 * tau] + 8.099e-8 * cos[4.20152809071 + 1169.5882514086 * tau] + 8.414e-8 * cos[3.9291045034 + 1478.8665740644 * tau] + 1.0542e-7 * cos[6.15533910933 + 14.2270940016 * tau] + 9.514e-8 * cos[2.02589667166 + 206.1855484372 * tau] + 1.1925e-7 * cos[4.30094564154 + 525.7588118315 * tau] + 1.1744e-7 * cos[1.80990486955 + 956.2891559706 * tau] + 1.3398e-7 * cos[4.30179033605 + 532.8723588323 * tau] + 1.5815e-7 * cos[4.43314786393 + 1045.1548361876 * tau] + 1.6698e-7 * cos[5.66663034948 + 1265.5674786264 * tau] + 1.6521e-7 * cos[5.89840100621 + 526.5095713569 * tau] + 1.7274e-7 * cos[5.65310656429 + 533.6231183577 * tau] + 2.4719e-7 * cos[3.94107395247 + 2118.7638603784 * tau] + 2.3156e-7 * cos[5.84829490183 + 323.5054166574 * tau] + 2.1015e-7 * cos[5.6295773141 + 1596.1864422846 * tau] + 3.1975e-7 * cos[4.92452714629 + 1581.959348283 * tau] + 3.6019e-7 * cos[6.10952578764 + 316.3918696566 * tau] + 4.5123e-7 * cos[1.89516645239 + 846.0828347512 * tau] + 4.6032e-7 * cos[0.53850360901 + 110.2063212194 * tau] + 3.6561e-7 * cos[4.69828392839 + 543.9180590962 * tau] + 6.0544e-7 * cos[5.44740084359 + 213.299095438 * tau] + 4.9915e-7 * cos[3.94799616572 + 735.8765135318 * tau] + 7.3875e-7 * cos[5.49958292155 + 515.463871093 * tau] + 7.6572e-7 * cos[0.61288981445 + 419.4846438752 * tau] + 8.1671e-7 * cos[5.07666097497 + 1162.4747044078 * tau] + 7.6599e-7 * cos[2.50522188662 + 103.0927742186 * tau] + 9.6667e-7 * cos[2.9142630409 + 949.1756089698 * tau] + 0.00000114128 * cos[3.4389727183 + 632.7837393132 * tau] + 0.00000150468 * cos[3.92721226087 + 1589.0728952838 * tau] + 0.00000196154 * cos[6.18554286642 + 7.1135470008 * tau] + 0.00000234264 * cos[5.18856099929 + 1066.49547719 * tau] + 0.00000346445 * cos[4.74595174109 + 1052.2683831884 * tau] + 0.00001694232 * cos[3.14159265359 + 0.0 * tau] + 0.00002211914 * cos[4.73477480209 + 536.8045120954 * tau] + 0.00003081364 * cos[5.47464296527 + 522.5774180938 * tau] + 0.00003230171 * cos[5.7794161934 + 1059.3819301892 * tau] + 0.00177351787 * cos[5.70166488486 + 529.6909650946 * tau]; B2 = 8.0e-10 * cos[0.62129648755 + 831.8557407496 * tau] + 8.9e-10 * cos[1.22926014128 + 1898.3512179396 * tau] + 1.02e-9 * cos[4.2760382797 + 1375.7737998458 * tau] + 1.23e-9 * cos[4.81268110532 + 21.3406410024 * tau] + 1.03e-9 * cos[4.6428710104 + 3.1813937377 * tau] + 1.14e-9 * cos[6.13907482464 + 1038.0412891868 * tau] + 1.10e-9 * cos[3.56263668146 + 227.5261894396 * tau] + 1.12e-9 * cos[2.62660288825 + 440.8252848776 * tau] + 1.61e-9 * cos[1.05926568614 + 1795.258443721 * tau] + 1.31e-9 * cos[1.79274504072 + 1063.3140834523 * tau] + 1.37e-9 * cos[2.91203499563 + 1699.2792165032 * tau] + 1.88e-9 * cos[0.97113663101 + 1685.0521225016 * tau] + 2.05e-9 * cos[1.20202002469 + 1056.2005364515 * tau] + 2.09e-9 * cos[5.82481690851 + 1471.7530270636 * tau] + 2.48e-9 * cos[2.96997778167 + 2648.454825473 * tau] + 2.38e-9 * cos[2.56643737684 + 539.9859058331 * tau] + 2.46e-9 * cos[2.61803442505 + 309.2783226558 * tau] + 2.35e-9 * cos[3.41850395941 + 199.0720014364 * tau] + 2.36e-9 * cos[1.946968422 + 1485.9801210652 * tau] + 3.01e-9 * cos[3.06868080871 + 1062.5633239269 * tau] + 3.09e-9 * cos[0.67399908949 + 2111.6503133776 * tau] + 2.80e-9 * cos[3.01441283033 + 551.031606097 * tau] + 3.12e-9 * cos[4.50639455819 + 2125.8774073792 * tau] + 4.38e-9 * cos[0.1655227729 + 1574.8458012822 * tau] + 4.15e-9 * cos[4.35372561905 + 330.6189636582 * tau] + 4.31e-9 * cos[2.20986254651 + 1368.660252845 * tau] + 4.30e-9 * cos[1.41830384501 + 412.3710968744 * tau] + 4.35e-9 * cos[1.65056479007 + 519.3960243561 * tau] + 4.32e-9 * cos[1.03719283016 + 1692.1656695024 * tau] + 5.53e-9 * cos[3.15511946637 + 220.4126424388 * tau] + 6.48e-9 * cos[5.32990375008 + 853.196381752 * tau] + 5.66e-9 * cos[5.36336098734 + 742.9900605326 * tau] + 6.19e-9 * cos[0.67923057477 + 838.9692877504 * tau] + 5.89e-9 * cos[1.23625943417 + 1258.4539316256 * tau] + 6.00e-9 * cos[1.82954494089 + 639.897286314 * tau] + 8.89e-9 * cos[6.07878453176 + 728.762966531 * tau] + 6.73e-9 * cos[1.26396626349 + 508.3503240922 * tau] + 7.58e-9 * cos[3.74770617289 + 433.7117378768 * tau] + 9.44e-9 * cos[4.055870535 + 206.1855484372 * tau] + 7.46e-9 * cos[5.53017890231 + 1478.8665740644 * tau] + 8.40e-9 * cos[2.89946334223 + 95.9792272178 * tau] + 1.086e-8 * cos[5.352791467 + 117.3198682202 * tau] + 1.138e-8 * cos[3.46420904745 + 1073.6090241908 * tau] + 1.198e-8 * cos[0.03252059731 + 956.2891559706 * tau] + 1.728e-8 * cos[2.24114678267 + 525.7588118315 * tau] + 1.823e-8 * cos[5.80106463776 + 625.6701923124 * tau] + 1.443e-8 * cos[2.38565505909 + 1169.5882514086 * tau] + 2.313e-8 * cos[0.87671613055 + 213.299095438 * tau] + 1.683e-8 * cos[1.42264195434 + 1265.5674786264 * tau] + 1.857e-8 * cos[1.19658907851 + 103.0927742186 * tau] + 2.019e-8 * cos[3.89985000464 + 846.0828347512 * tau] + 2.252e-8 * cos[0.3719643412 + 1155.361157407 * tau] + 2.143e-8 * cos[3.88727338786 + 426.598190876 * tau] + 2.155e-8 * cos[4.7799063714 + 942.062061969 * tau] + 3.061e-8 * cos[2.39880866911 + 532.8723588323 * tau] + 3.113e-8 * cos[2.48079280193 + 2118.7638603784 * tau] + 2.541e-8 * cos[3.98323842017 + 323.5054166574 * tau] + 2.904e-8 * cos[2.06041641723 + 316.3918696566 * tau] + 3.407e-8 * cos[0.42275631534 + 419.4846438752 * tau] + 3.277e-8 * cos[4.39650286553 + 14.2270940016 * tau] + 3.443e-8 * cos[1.38618954572 + 533.6231183577 * tau] + 3.593e-8 * cos[4.54080164408 + 110.2063212194 * tau] + 5.098e-8 * cos[6.03169795231 + 735.8765135318 * tau] + 4.547e-8 * cos[4.01953745202 + 1596.1864422846 * tau] + 4.564e-8 * cos[0.91811732585 + 1162.4747044078 * tau] + 5.037e-8 * cos[1.43444929374 + 526.5095713569 * tau] + 5.935e-8 * cos[0.52977760072 + 1581.959348283 * tau] + 6.078e-8 * cos[6.21089108431 + 1045.1548361876 * tau] + 1.0703e-7 * cos[4.88024222475 + 949.1756089698 * tau] + 1.2067e-7 * cos[5.22168932482 + 632.7837393132 * tau] + 1.3916e-7 * cos[2.92242387338 + 543.9180590962 * tau] + 2.2753e-7 * cos[4.27124052435 + 7.1135470008 * tau] + 2.9717e-7 * cos[1.92504171329 + 1589.0728952838 * tau] + 2.9314e-7 * cos[0.99088831805 + 515.463871093 * tau] + 4.6151e-7 * cos[3.48036895772 + 1066.49547719 * tau] + 7.3948e-7 * cos[0.40724675866 + 1052.2683831884 * tau] + 0.00000342226 * cos[1.44683789727 + 1059.3819301892 * tau] + 0.00000398951 * cos[2.89888666447 + 536.8045120954 * tau] + 0.00000813244 * cos[3.14159265359 + 0.0 * tau] + 0.00000742415 * cos[0.95691639003 + 522.5774180938 * tau] + 0.00008094051 * cos[1.46322843658 + 529.6909650946 * tau]; B3 = 9.8e-10 * cos[2.00704668688 + 1574.8458012822 * tau] + 8.8e-10 * cos[3.26874502411 + 213.299095438 * tau] + 9.5e-10 * cos[0.54905691533 + 1169.5882514086 * tau] + 1.14e-9 * cos[3.75170981478 + 117.3198682202 * tau] + 9.4e-10 * cos[3.05797832024 + 1265.5674786264 * tau] + 1.30e-9 * cos[1.37897716939 + 323.5054166574 * tau] + 1.05e-9 * cos[3.75192101775 + 316.3918696566 * tau] + 1.07e-9 * cos[5.48942805114 + 433.7117378768 * tau] + 1.17e-9 * cos[4.70141431381 + 95.9792272178 * tau] + 1.59e-9 * cos[2.60843864402 + 1162.4747044078 * tau] + 1.80e-9 * cos[6.07777744541 + 639.897286314 * tau] + 1.83e-9 * cos[4.34670868038 + 525.7588118315 * tau] + 2.08e-9 * cos[2.17540496886 + 1155.361157407 * tau] + 2.63e-9 * cos[0.55255030187 + 426.598190876 * tau] + 2.82e-9 * cos[3.11087801399 + 533.6231183577 * tau] + 2.95e-9 * cos[1.75924202728 + 1073.6090241908 * tau] + 3.00e-9 * cos[1.66936571536 + 625.6701923124 * tau] + 3.21e-9 * cos[4.40642025933 + 532.8723588323 * tau] + 3.10e-9 * cos[2.98017326384 + 508.3503240922 * tau] + 3.47e-9 * cos[5.7624428587 + 103.0927742186 * tau] + 4.09e-9 * cos[2.88147337106 + 110.2063212194 * tau] + 4.53e-9 * cos[3.18232334886 + 526.5095713569 * tau] + 4.54e-9 * cos[0.26977404624 + 942.062061969 * tau] + 4.99e-9 * cos[3.67985494258 + 419.4846438752 * tau] + 7.36e-9 * cos[1.52532370632 + 735.8765135318 * tau] + 6.23e-9 * cos[2.480562136 + 1596.1864422846 * tau] + 6.78e-9 * cos[2.36909615348 + 1581.959348283 * tau] + 8.76e-9 * cos[0.32927768725 + 1589.0728952838 * tau] + 7.31e-9 * cos[2.63748223583 + 14.2270940016 * tau] + 7.58e-9 * cos[0.30577920142 + 949.1756089698 * tau] + 9.45e-9 * cos[0.45261136388 + 632.7837393132 * tau] + 1.643e-8 * cos[1.77507208483 + 1045.1548361876 * tau] + 1.898e-8 * cos[2.28934054087 + 7.1135470008 * tau] + 2.798e-8 * cos[3.14159265359 + 0.0 * tau] + 3.627e-8 * cos[1.13028917221 + 543.9180590962 * tau] + 7.287e-8 * cos[4.25268318975 + 1059.3819301892 * tau] + 6.205e-8 * cos[1.7811582737 + 1066.49547719 * tau] + 8.067e-8 * cos[2.76729757621 + 515.463871093 * tau] + 1.0988e-7 * cos[2.31463561347 + 1052.2683831884 * tau] + 4.8694e-7 * cos[1.03689996685 + 536.8045120954 * tau] + 0.00000121738 * cos[2.733118372 + 522.5774180938 * tau] + 0.00000251624 * cos[3.38087923084 + 529.6909650946 * tau]; B4 = 1.12e-9 * cos[1.16718383135 + 14.2270940016 * tau] + 1.42e-9 * cos[5.69936472988 + 7.1135470008 * tau] + 1.47e-9 * cos[3.56490986181 + 1045.1548361876 * tau] + 2.82e-9 * cos[3.66807771223 + 1059.3819301892 * tau] + 5.12e-9 * cos[0.05803177475 + 1066.49547719 * tau] + 7.55e-9 * cos[5.59451554966 + 543.9180590962 * tau] + 1.322e-8 * cos[4.20117611581 + 1052.2683831884 * tau] + 1.833e-8 * cos[4.51807036227 + 515.463871093 * tau] + 3.422e-8 * cos[0.0 + 0.0 * tau] + 4.456e-8 * cos[5.43908581047 + 536.8045120954 * tau] + 5.370e-8 * cos[4.47427159142 + 529.6909650946 * tau] + 1.5050e-7 * cos[4.52956999637 + 522.5774180938 * tau]; B5 = 9.5e-10 * cos[1.29305954542 + 543.9180590962 * tau] + 1.29e-9 * cos[0.33959775247 + 529.6909650946 * tau] + 3.04e-9 * cos[3.27902945138 + 536.8045120954 * tau] + 3.68e-9 * cos[0.00874408003 + 515.463871093 * tau] + 1.445e-8 * cos[0.09198554072 + 522.5774180938 * tau]; R0 = 5.09e-9 * cos[5.53328407404 + 1128.534454464 * tau] + 4.74e-9 * cos[0.71146352197 + 2108.4689196399 * tau] + 4.48e-9 * cos[4.76565111029 + 284.1485407422 * tau] + 3.70e-9 * cos[4.90330687618 + 1436.5407527326 * tau] + 3.71e-9 * cos[6.15750793727 + 509.2440959695 * tau] + 4.05e-9 * cos[0.57785207581 + 107.2855599126 * tau] + 4.71e-9 * cos[6.24506463249 + 946.4672959841 * tau] + 3.78e-9 * cos[6.03765733432 + 1268.7488723641 * tau] + 3.95e-9 * cos[0.22367886581 + 51116.4243529592 * tau] + 3.91e-9 * cos[2.81753436573 + 5798.1464280374 * tau] + 4.44e-9 * cos[0.84873092377 + 1371.8416465827 * tau] + 4.83e-9 * cos[5.02142924458 + 857.1285350151 * tau] + 4.81e-9 * cos[6.21043578332 + 683.9894646444 * tau] + 4.02e-9 * cos[5.86200127054 + 927.8349679674 * tau] + 5.07e-9 * cos[3.61089992782 + 546.956440482 * tau] + 4.63e-9 * cos[1.93535321271 + 6275.9623029906 * tau] + 3.91e-9 * cos[1.261056127 + 8.0767548473 * tau] + 4.04e-9 * cos[5.49462012486 + 447.9388318784 * tau] + 4.46e-9 * cos[2.71248183031 + 31.492569389 * tau] + 4.78e-9 * cos[0.71264950607 + 1094.8066528413 * tau] + 4.12e-9 * cos[5.87495245826 + 6.9010986797 * tau] + 4.41e-9 * cos[6.06185501734 + 25.1297819136 * tau] + 4.04e-9 * cos[2.48633976473 + 519.656656787 * tau] + 5.55e-9 * cos[1.00328633255 + 141.2258098564 * tau] + 5.03e-9 * cos[5.28212300854 + 668.2084619653 * tau] + 4.01e-9 * cos[0.11519846139 + 970.5162499722 * tau] + 4.24e-9 * cos[4.1815011153 + 550.1378342197 * tau] + 4.33e-9 * cos[5.9368835084 + 1688.2335162393 * tau] + 5.48e-9 * cos[6.03429743373 + 9367.2027114598 * tau] + 4.97e-9 * cos[0.01579913593 + 1069.6768709277 * tau] + 4.09e-9 * cos[5.80053072411 + 9146.790069021 * tau] + 5.24e-9 * cos[5.0256292612 + 1090.4014188262 * tau] + 5.08e-9 * cos[1.16158524676 + 9.5612275556 * tau] + 4.12e-9 * cos[3.29630633921 + 7.3259953219 * tau] + 4.25e-9 * cos[1.67255823369 + 148.0787244263 * tau] + 4.29e-9 * cos[1.01299906509 + 4333.5069479746 * tau] + 4.29e-9 * cos[2.46287580628 + 3914.0223040994 * tau] + 5.66e-9 * cos[0.59740900184 + 350.3321196004 * tau] + 4.81e-9 * cos[2.32223226419 + 1357.6145525811 * tau] + 4.66e-9 * cos[2.43707405011 + 3362.9906980024 * tau] + 5.43e-9 * cos[2.05067702505 + 906.849787638 * tau] + 4.39e-9 * cos[1.33582802018 + 995.6460318858 * tau] + 4.90e-9 * cos[2.379888288 + 2225.7887878601 * tau] + 5.92e-9 * cos[0.32587740408 + 737.3609862401 * tau] + 4.34e-9 * cos[2.64411689486 + 748.406686504 * tau] + 5.95e-9 * cos[3.78181802545 + 6386.16862421 * tau] + 5.51e-9 * cos[2.13418546604 + 1440.9941708575 * tau] + 5.03e-9 * cos[0.13449993622 + 2015.6710861598 * tau] + 6.18e-9 * cos[0.72471290082 + 1291.4309737229 * tau] + 4.75e-9 * cos[2.69994471394 + 491.8185618877 * tau] + 4.39e-9 * cos[4.83198101064 + 50.4025761791 * tau] + 4.54e-9 * cos[2.88584538455 + 1987.2168981566 * tau] + 6.22e-9 * cos[2.29597570837 + 9999.986450773 * tau] + 4.81e-9 * cos[3.41035583659 + 3803.81598288 * tau] + 5.57e-9 * cos[6.1144397819 + 976.0023119128 * tau] + 4.81e-9 * cos[3.63292807076 + 5584.8473325994 * tau] + 5.17e-9 * cos[4.40400852026 + 2545.3620512544 * tau] + 5.01e-9 * cos[0.03408180117 + 1080.7225711916 * tau] + 5.57e-9 * cos[5.83542572008 + 9676.4810341156 * tau] + 5.44e-9 * cos[2.98747240952 + 4223.3006267552 * tau] + 4.49e-9 * cos[3.02583472996 + 5901.239202256 * tau] + 5.31e-9 * cos[0.30026207053 + 912.7876784712 * tau] + 5.40e-9 * cos[0.54791737146 + 51646.11531805379 * tau] + 4.83e-9 * cos[0.42979609421 + 735.828329422 * tau] + 6.32e-9 * cos[2.75028345792 + 334.5511169213 * tau] + 4.83e-9 * cos[3.63649121244 + 131.4039498699 * tau] + 4.59e-9 * cos[5.29870259698 + 1474.9344208013 * tau] + 5.43e-9 * cos[2.3970430832 + 9690.7081281172 * tau] + 4.58e-9 * cos[0.45056377876 + 1065.6017053127 * tau] + 4.91e-9 * cos[1.28535573072 + 247.2393453818 * tau] + 4.68e-9 * cos[3.50348554992 + 4841.8572720668 * tau] + 5.64e-9 * cos[3.81960833949 + 1059.5419888836 * tau] + 6.44e-9 * cos[3.00156986335 + 298.2326223919 * tau] + 6.22e-9 * cos[3.00013939606 + 2349.3284312038 * tau] + 5.05e-9 * cos[3.12494814307 + 1475.6851803267 * tau] + 5.25e-9 * cos[0.74584814988 + 736.8397213783 * tau] + 5.37e-9 * cos[3.67357440226 + 605.9570363702 * tau] + 6.51e-9 * cos[5.09951064975 + 531.3354964973 * tau] + 6.82e-9 * cos[0.87321578326 + 6069.7767545534 * tau] + 5.51e-9 * cos[1.91969778405 + 113.3877149571 * tau] + 5.52e-9 * cos[2.81774132958 + 344.7030453079 * tau] + 6.85e-9 * cos[1.95310431695 + 3156.8051495652 * tau] + 6.21e-9 * cos[3.98893673383 + 409.9234163196 * tau] + 5.00e-9 * cos[4.28937439066 + 5216.5803728014 * tau] + 6.19e-9 * cos[3.71554817226 + 2090.3096723752 * tau] + 6.54e-9 * cos[1.31181453784 + 878.3261636656 * tau] + 5.19e-9 * cos[3.1015709777 + 9161.0171630226 * tau] + 6.17e-9 * cos[5.732849857 + 745.4377410874 * tau] + 4.96e-9 * cos[2.43659402827 + 990.2294059144 * tau] + 5.04e-9 * cos[2.58550284 + 5378.6617841622 * tau] + 5.19e-9 * cos[6.27847163164 + 59.8037450403 * tau] + 6.97e-9 * cos[4.99042365686 + 12.5301729722 * tau] + 6.95e-9 * cos[2.44235086902 + 657.1627617014 * tau] + 5.26e-9 * cos[4.39778401928 + 546.1532913299 * tau] + 7.18e-9 * cos[0.48326672359 + 842.1506814881 * tau] + 5.38e-9 * cos[0.2815963768 + 153.4953503977 * tau] + 5.67e-9 * cos[5.13926871155 + 288.0806940053 * tau] + 5.16e-9 * cos[3.28562070858 + 734.9133056853 * tau] + 5.47e-9 * cos[1.18801926149 + 11506.7697697936 * tau] + 6.49e-9 * cos[0.95666735852 + 920.8644333185 * tau] + 5.30e-9 * cos[4.99510636441 + 9264.1099372412 * tau] + 6.30e-9 * cos[2.311831439 + 2729.4561991638 * tau] + 5.37e-9 * cos[5.72603965787 + 513.2286388593 * tau] + 5.64e-9 * cos[0.72677136494 + 1059.2218714948 * tau] + 5.26e-9 * cos[3.51641923371 + 0.7507595254 * tau] + 5.99e-9 * cos[3.59295739143 + 1144.3154571431 * tau] + 5.31e-9 * cos[1.0669554739 + 100.1720129118 * tau] + 5.62e-9 * cos[0.96641974928 + 1438.0252254409 * tau] + 6.19e-9 * cos[6.07865159203 + 46.470422916 * tau] + 5.34e-9 * cos[3.04076654796 + 7.1617311106 * tau] + 5.46e-9 * cos[2.34388967045 + 949.2237930796 * tau] + 5.50e-9 * cos[5.50701003577 + 1432.3961511484 * tau] + 5.37e-9 * cos[1.52803865425 + 8094.5216858326 * tau] + 5.92e-9 * cos[3.07238123875 + 1446.62324515 * tau] + 5.40e-9 * cos[5.15775909675 + 1751.539531416 * tau] + 7.44e-9 * cos[2.33083237537 + 620.253566341 * tau] + 6.32e-9 * cos[3.67893818442 + 1065.0110044817 * tau] + 5.71e-9 * cos[0.8307014882 + 1570.9136480191 * tau] + 5.55e-9 * cos[0.18349908409 + 512.4254897072 * tau] + 5.60e-9 * cos[3.57141429379 + 5333.9002410216 * tau] + 5.74e-9 * cos[5.1923507414 + 104.0559820651 * tau] + 5.58e-9 * cos[1.17103892689 + 3576.2897934404 * tau] + 5.57e-9 * cos[3.45629457197 + 19896.8801273274 * tau] + 5.58e-9 * cos[3.36094471852 + 24498.8302462904 * tau] + 5.61e-9 * cos[3.8756591436 + 135.336103133 * tau] + 5.88e-9 * cos[0.65827893998 + 4642.7852706304 * tau] + 5.75e-9 * cos[4.50676079721 + 1230.1427559743 * tau] + 5.68e-9 * cos[1.75508433865 + 1077.5411774539 * tau] + 6.02e-9 * cos[5.28816527514 + 949.12742486 * tau] + 7.28e-9 * cos[2.73732195088 + 6.1503391543 * tau] + 5.94e-9 * cos[2.58839673551 + 849.2642284889 * tau] + 5.97e-9 * cos[6.13204711801 + 7.2736056952 * tau] + 6.92e-9 * cos[6.10931942233 + 12.7426212933 * tau] + 5.92e-9 * cos[3.29013906024 + 10103.0792249916 * tau] + 6.22e-9 * cos[6.11554348965 + 7.065362891 * tau] + 6.02e-9 * cos[5.56403449542 + 1587.5884225755 * tau] + 8.10e-9 * cos[1.9770108449 + 860.3099287528 * tau] + 6.93e-9 * cos[4.66190836234 + 3384.3313390048 * tau] + 5.88e-9 * cos[0.08236113246 + 4164.311989613 * tau] + 7.77e-9 * cos[3.08786050361 + 441.576044403 * tau] + 5.97e-9 * cos[3.03921014345 + 6.9534883064 * tau] + 6.81e-9 * cos[2.33844767741 + 501.2367770914 * tau] + 6.66e-9 * cos[5.71697262323 + 661.0949149645 * tau] + 6.14e-9 * cos[3.87231597482 + 767.3690829208 * tau] + 6.63e-9 * cos[4.80713895807 + 991.7138786227 * tau] + 6.73e-9 * cos[4.87494072856 + 103.0445901088 * tau] + 8.47e-9 * cos[5.56263749391 + 4429.4861751924 * tau] + 6.86e-9 * cos[2.51807576494 + 638.4128136057 * tau] + 7.88e-9 * cos[0.21278801649 + 313.9441891018 * tau] + 6.97e-9 * cos[4.18082589322 + 1.6969210294 * tau] + 6.87e-9 * cos[3.81221717134 + 73.297125859 * tau] + 8.26e-9 * cos[1.46026926041 + 2199.7652340692 * tau] + 6.30e-9 * cos[2.86895754523 + 633.5344988386 * tau] + 6.39e-9 * cos[1.86699974431 + 6172.869528772 * tau] + 6.44e-9 * cos[5.36935176134 + 835.7878940127 * tau] + 6.86e-9 * cos[0.27079898498 + 11.7794134468 * tau] + 6.51e-9 * cos[5.02431301146 + 528.0464336919 * tau] + 6.40e-9 * cos[5.44039474349 + 632.0329797878 * tau] + 7.83e-9 * cos[4.37652961667 + 105.5404547734 * tau] + 7.95e-9 * cos[4.54081089118 + 1457.525933062 * tau] + 6.42e-9 * cos[1.86741704507 + 1053.9653042178 * tau] + 6.36e-9 * cos[0.83411828974 + 711.4974911436 * tau] + 6.37e-9 * cos[6.13121700151 + 4752.9915918498 * tau] + 6.38e-9 * cos[4.21760246824 + 1064.0477966352 * tau] + 8.12e-9 * cos[1.30325352179 + 1055.1891444952 * tau] + 6.62e-9 * cos[4.13533996643 + 733.428832977 * tau] + 8.59e-9 * cos[2.50530106631 + 782.3469364478 * tau] + 6.43e-9 * cos[2.46566726278 + 1049.8207026336 * tau] + 6.52e-9 * cos[3.41422919445 + 650.9429865779 * tau] + 8.18e-9 * cos[1.41973280302 + 580.0935412737 * tau] + 6.68e-9 * cos[4.93815253692 + 5172.476235725 * tau] + 6.70e-9 * cos[2.67625974048 + 1012.9115072732 * tau] + 8.06e-9 * cos[4.64475158248 + 533.8355666788 * tau] + 6.73e-9 * cos[6.1161858051 + 738.3241940866 * tau] + 7.03e-9 * cos[2.89202252444 + 63.7358983034 * tau] + 8.63e-9 * cos[3.98700238575 + 686.958410061 * tau] + 7.01e-9 * cos[1.72139817505 + 5230.807466803 * tau] + 8.46e-9 * cos[1.47557828604 + 898.7730327907 * tau] + 8.32e-9 * cos[5.1436278981 + 1054.7160637432 * tau] + 8.53e-9 * cos[4.74476428852 + 951.6232895246 * tau] + 6.75e-9 * cos[1.78690909614 + 103.1409583284 * tau] + 6.87e-9 * cos[2.65457835371 + 1567.7322542814 * tau] + 7.27e-9 * cos[1.56150632966 + 4319.279853973 * tau] + 8.11e-9 * cos[3.23726191865 + 121.2520214833 * tau] + 7.08e-9 * cos[1.09492310353 + 248.7238180901 * tau] + 8.56e-9 * cos[2.58042139486 + 2803.8079146044 * tau] + 7.96e-9 * cos[1.08794807212 + 987.3086446076 * tau] + 8.54e-9 * cos[5.47701506544 + 2818.035008606 * tau] + 8.88e-9 * cos[1.89634795578 + 707.5653378805 * tau] + 8.38e-9 * cos[3.81585420192 + 986.0848043302 * tau] + 7.57e-9 * cos[0.7744041433 + 977.4867846211 * tau] + 8.08e-9 * cos[5.81725174908 + 1087.6931058405 * tau] + 7.25e-9 * cos[2.1877377301 + 1176.7017984094 * tau] + 9.16e-9 * cos[6.02908368648 + 7.8643065262 * tau] + 8.83e-9 * cos[5.26813169286 + 1542.6024723678 * tau] + 9.62e-9 * cos[1.48376004549 + 1062.302691496 * tau] + 8.90e-9 * cos[4.10819809692 + 1060.1326897146 * tau] + 9.94e-9 * cos[5.163913701 + 10316.3783204296 * tau] + 7.26e-9 * cos[5.28930472464 + 1304.9243545416 * tau] + 9.44e-9 * cos[0.40327408174 + 1140.38330388 * tau] + 7.25e-9 * cos[2.81220410314 + 3597.6304344428 * tau] + 7.71e-9 * cos[0.12101982692 + 635.70450062 * tau] + 7.52e-9 * cos[5.8236047289 + 701.936263588 * tau] + 7.48e-9 * cos[3.01376405927 + 5481.7545583808 * tau] + 8.00e-9 * cos[0.10663079153 + 4532.578949411 * tau] + 9.67e-9 * cos[3.20618313117 + 9050.8108418032 * tau] + 9.24e-9 * cos[4.41952345708 + 5746.271337896 * tau] + 8.44e-9 * cos[0.2263096449 + 1123.1178284926 * tau] + 9.10e-9 * cos[0.99542530366 + 5760.4984318976 * tau] + 8.44e-9 * cos[0.00976249584 + 628.5909536192 * tau] + 9.48e-9 * cos[0.77931728039 + 25551.09862947879 * tau] + 8.20e-9 * cos[4.14947931572 + 1884.124123938 * tau] + 9.12e-9 * cos[2.69124310451 + 946.727928415 * tau] + 9.08e-9 * cos[2.82093327912 + 3046.5988283458 * tau] + 9.53e-9 * cos[0.58786779132 + 627.3671133418 * tau] + 8.13e-9 * cos[0.45441968195 + 4694.0029547076 * tau] + 8.20e-9 * cos[1.86002542644 + 629.8629780064 * tau] + 7.88e-9 * cos[0.51622458293 + 526.9826521089 * tau] + 9.74e-9 * cos[3.67667471757 + 25565.3257234804 * tau] + 8.37e-9 * cos[1.49510080792 + 1025.4416802454 * tau] + 9.89e-9 * cos[1.55623875216 + 1493.093668066 * tau] + 8.55e-9 * cos[6.06969867736 + 446.3113468182 * tau] + 8.10e-9 * cos[5.47935192896 + 525.5463635104 * tau] + 8.08e-9 * cos[1.09148925587 + 683.1863154923 * tau] + 8.42e-9 * cos[3.20535945596 + 1670.8250285 * tau] + 9.66e-9 * cos[6.25512226434 + 700.4517908797 * tau] + 9.61e-9 * cos[5.69327275886 + 498.1983957056 * tau] + 8.75e-9 * cos[0.8777553711 + 4326.3934009738 * tau] + 8.60e-9 * 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0.00000290869 * cos[3.89339143564 + 1471.7530270636 * tau] + 0.00000445003 * cos[0.14623567024 + 14.2270940016 * tau] + 0.00000469965 * cos[2.81896276101 + 1795.258443721 * tau] + 0.00000496066 * cos[5.53005947761 + 380.12776796 * tau] + 0.00000435805 * cos[2.60272129748 + 95.9792272178 * tau] + 0.00000614784 * cos[2.27624915604 + 942.062061969 * tau] + 0.00000457859 * cos[0.1272269451 + 1375.7737998458 * tau] + 0.00000542221 * cos[0.28360266386 + 525.7588118315 * tau] + 0.0000056212 * cos[0.08095987241 + 543.9180590962 * tau] + 0.00000812036 * cos[5.94091899141 + 909.8187330546 * tau] + 0.00000653981 * cos[3.38150775269 + 1692.1656695024 * tau] + 0.00000620798 * cos[4.82284338962 + 956.2891559706 * tau] + 0.00000821465 * cos[1.59342534396 + 1898.3512179396 * tau] + 0.00000655289 * cos[2.79065604219 + 1685.0521225016 * tau] + 0.00000727162 * cos[3.98824686402 + 1155.361157407 * tau] + 0.00001014959 * cos[1.38673237666 + 454.9093665273 * tau] + 0.00000998579 * cos[2.8720894011 + 309.2783226558 * tau] + 0.000007767 * cos[3.6769695469 + 728.762966531 * tau] + 0.00000885708 * cos[4.14785948471 + 533.6231183577 * tau] + 0.00000961072 * cos[4.54876989805 + 2118.7638603784 * tau] + 0.0000121681 * cos[1.80171561024 + 110.2063212194 * tau] + 0.00001230708 * cos[1.89042979701 + 323.5054166574 * tau] + 0.00001479484 * cos[2.68026191372 + 1478.8665740644 * tau] + 0.00001610549 * cos[3.08867789275 + 1368.660252845 * tau] + 0.00002127644 * cos[6.1275146175 + 742.9900605326 * tau] + 0.00001911876 * cos[0.85621927419 + 412.3710968744 * tau] + 0.00002616955 * cos[2.00993967129 + 1581.959348283 * tau] + 0.00002499966 * cos[4.55182055941 + 838.9692877504 * tau] + 0.00004170012 * cos[2.01605033912 + 515.463871093 * tau] + 0.0000413689 * cos[2.72219979684 + 625.6701923124 * tau] + 0.00003502519 * cos[0.56531297394 + 1066.49547719 * tau] + 0.00005477093 * cos[5.65729325169 + 639.897286314 * tau] + 0.00006137755 * cos[6.26417542514 + 846.0828347512 * tau] + 0.00007057978 * cos[2.18184753111 + 1265.5674786264 * tau] + 0.00007894539 * cos[2.47907551404 + 426.598190876 * tau] + 0.00009161431 * cos[4.41352618935 + 213.299095438 * tau] + 0.00012749004 * cos[2.71550102862 + 1052.2683831884 * tau] + 0.00009703346 * cos[1.90669572402 + 206.1855484372 * tau] + 0.000130326 * cos[2.96043055741 + 1162.4747044078 * tau] + 0.0002394734 * cos[0.27457854894 + 7.1135470008 * tau] + 0.0002228371 * cos[4.19362773546 + 1589.0728952838 * tau] + 0.00023453209 * cos[3.54023147303 + 735.8765135318 * tau] + 0.00030135275 * cos[2.16132058449 + 949.1756089698 * tau] + 0.0002913462 * cos[1.6775924371 + 103.0927742186 * tau] + 0.00065517227 * cos[5.97995850843 + 316.3918696566 * tau] + 0.00072062869 * cos[0.21465694745 + 536.8045120954 * tau] + 0.00086792941 * cos[0.71001090609 + 419.4846438752 * tau] + 0.00187647391 * cos[2.07590380082 + 522.5774180938 * tau] + 0.00282029465 * cos[2.57419879933 + 632.7837393132 * tau] + 0.00610599902 * cos[3.84115365602 + 1059.3819301892 * tau] + 0.2520932702 * cos[3.49108640015 + 529.6909650946 * tau] + 5.20887429471 * cos[0.0 + 0.0 * tau]; R1 = 4.16e-9 * cos[3.81408093105 + 3156.8051495652 * tau] + 3.92e-9 * cos[1.86527946688 + 885.4397106664 * tau] + 4.11e-9 * cos[4.31566962034 + 757.2171545342 * tau] + 4.27e-9 * cos[3.21176085113 + 977.4867846211 * tau] + 3.86e-9 * cos[4.81320787761 + 970.5162499722 * tau] + 3.99e-9 * cos[4.67075122011 + 234.6397364404 * tau] + 3.98e-9 * cos[4.91510709622 + 4120.2078525366 * tau] + 4.34e-9 * cos[3.59362426939 + 3259.8979237838 * tau] + 4.26e-9 * cos[3.12237794195 + 12566.1516999828 * tau] + 4.11e-9 * cos[3.21727542472 + 1475.6851803267 * tau] + 4.53e-9 * cos[3.09458004153 + 1059.430114299 * tau] + 4.47e-9 * cos[0.03952029309 + 245.5424243524 * tau] + 5.05e-9 * cos[1.49028912471 + 3782.4753418776 * tau] + 4.02e-9 * cos[5.88926765351 + 1570.9136480191 * tau] + 4.03e-9 * cos[0.34381388674 + 32.2433289144 * tau] + 4.12e-9 * cos[2.9812544633 + 554.0699874828 * tau] + 4.18e-9 * cos[5.15499986314 + 1173.5204046717 * tau] + 4.11e-9 * cos[2.95117124177 + 4326.3934009738 * tau] + 4.10e-9 * cos[1.24248975309 + 5069.3834615064 * tau] + 4.64e-9 * cos[2.90444584145 + 398.1440028728 * tau] + 4.22e-9 * cos[5.12631540623 + 944.9828232758 * tau] + 4.30e-9 * cos[1.28652623263 + 505.3119427064 * tau] + 4.43e-9 * cos[3.39246520261 + 1152.1797636693 * tau] + 5.63e-9 * cos[6.19175228344 + 1884.124123938 * tau] + 4.30e-9 * cos[0.94519103478 + 6.3627874754 * tau] + 4.49e-9 * cos[0.72330388784 + 2758.6611466924 * tau] + 4.35e-9 * cos[5.34355963629 + 560.7104537316 * tau] + 5.10e-9 * cos[5.81591864532 + 529.5309064002 * tau] + 4.49e-9 * cos[5.24955106938 + 10213.285546211 * tau] + 4.33e-9 * cos[2.55336268329 + 1064.0477966352 * tau] + 5.92e-9 * cos[2.91424148255 + 8624.2126509272 * tau] + 4.88e-9 * cos[3.71681959056 + 447.9388318784 * tau] + 6.14e-9 * cos[5.42289673768 + 2090.3096723752 * tau] + 4.39e-9 * cos[4.14986379679 + 1151.4290041439 * tau] + 4.61e-9 * cos[0.16951411708 + 26087.9031415742 * tau] + 4.44e-9 * cos[5.06219342598 + 7.8643065262 * tau] + 4.46e-9 * cos[5.53828660924 + 2332.0629558164 * tau] + 5.51e-9 * cos[0.13794958618 + 1912.5783119412 * tau] + 4.53e-9 * cos[6.17995938655 + 1059.3337460794 * tau] + 4.57e-9 * cos[1.80238019931 + 3281.2385647862 * tau] + 4.58e-9 * cos[3.86646994292 + 11.3063326948 * tau] + 5.62e-9 * cos[3.73437025868 + 2015.6710861598 * tau] + 4.81e-9 * cos[2.99681040149 + 9153.9036160218 * tau] + 4.93e-9 * cos[5.52699906925 + 512.2824773553 * tau] + 5.82e-9 * cos[3.51934668795 + 1056.9342496344 * tau] + 4.80e-9 * cos[0.30754294369 + 528.9402055692 * tau] + 4.89e-9 * cos[6.26855707323 + 3693.6096616606 * tau] + 5.10e-9 * cos[2.6255703127 + 529.851023789 * tau] + 5.93e-9 * cos[5.86079640612 + 524.0618908021 * tau] + 5.76e-9 * cos[1.22846846364 + 1514.2912967165 * tau] + 5.49e-9 * cos[4.34579166146 + 3046.5988283458 * tau] + 4.92e-9 * cos[4.83275232 + 9492.1463150048 * tau] + 5.82e-9 * cos[0.4454094886 + 113.3877149571 * tau] + 5.87e-9 * cos[3.30651435298 + 600.5404103988 * tau] + 4.96e-9 * cos[1.29000001439 + 927.8349679674 * tau] + 6.40e-9 * cos[3.10239233469 + 11.0457002639 * tau] + 5.59e-9 * cos[4.48852017557 + 531.1754378029 * tau] + 6.74e-9 * cos[1.47570122611 + 4694.0029547076 * tau] + 5.08e-9 * cos[2.1358430071 + 1.6969210294 * tau] + 5.94e-9 * cos[2.13375704438 + 121.2520214833 * tau] + 6.24e-9 * cos[0.02693303471 + 1493.093668066 * tau] + 6.85e-9 * cos[4.18539472904 + 46.470422916 * tau] + 6.92e-9 * cos[3.1322902553 + 7.6348118626 * tau] + 6.16e-9 * cos[2.08837621877 + 10.0343083076 * tau] + 6.59e-9 * cos[2.41470950463 + 195.1398481733 * tau] + 6.28e-9 * cos[4.65037810102 + 6275.9623029906 * tau] + 5.58e-9 * cos[4.37217796469 + 1057.8974574809 * tau] + 5.60e-9 * cos[1.40733893388 + 446.3113468182 * tau] + 6.14e-9 * cos[2.48275371627 + 25551.09862947879 * tau] + 6.22e-9 * cos[1.98136818407 + 25565.3257234804 * tau] + 7.52e-9 * cos[0.4606370015 + 635.231419868 * tau] + 5.65e-9 * cos[0.99416346033 + 1894.4190646765 * tau] + 6.67e-9 * cos[4.22974611158 + 4539.6924964118 * tau] + 6.26e-9 * cos[3.53146082217 + 3067.9394693482 * tau] + 6.29e-9 * cos[1.75272560843 + 92.0470739547 * tau] + 6.51e-9 * cos[4.14419317491 + 2847.5268269094 * tau] + 7.17e-9 * cos[1.8234906449 + 3171.0322435668 * tau] + 6.00e-9 * cos[3.20918322285 + 1098.7388061044 * tau] + 6.24e-9 * cos[0.61631100566 + 1176.7017984094 * tau] + 8.14e-9 * cos[4.8957879117 + 1567.7322542814 * tau] + 6.78e-9 * cos[2.45013730979 + 5760.4984318976 * tau] + 8.27e-9 * cos[5.94231186039 + 1457.525933062 * tau] + 6.38e-9 * cos[2.18896270346 + 313.2104759189 * tau] + 6.52e-9 * cos[5.79409889124 + 1061.829610744 * tau] + 6.33e-9 * cos[4.37183361444 + 5.4166259714 * tau] + 8.38e-9 * cos[4.51386507097 + 1069.6768709277 * tau] + 8.02e-9 * cos[4.18688054701 + 5753.3848848968 * tau] + 6.27e-9 * cos[3.03666956129 + 2840.4132799086 * tau] + 7.02e-9 * cos[6.10412979847 + 4635.6717236296 * tau] + 6.35e-9 * cos[5.75373871128 + 429.7795846137 * tau] + 6.56e-9 * cos[0.60909845504 + 835.7878940127 * tau] + 6.43e-9 * cos[1.40239510103 + 9161.0171630226 * tau] + 6.77e-9 * cos[4.27891183416 + 25028.521211385 * tau] + 7.09e-9 * cos[3.71117647887 + 3686.4961146598 * tau] + 6.98e-9 * cos[5.43712520216 + 565.1156877467 * tau] + 7.59e-9 * cos[5.4535868657 + 9683.5945811164 * tau] + 6.63e-9 * cos[5.27704405712 + 4532.578949411 * tau] + 7.56e-9 * cos[4.28312053897 + 2803.8079146044 * tau] + 7.57e-9 * cos[3.78079814332 + 2818.035008606 * tau] + 7.81e-9 * cos[1.25357484582 + 202.2533951741 * tau] + 9.06e-9 * cos[2.47189948442 + 3274.1250177854 * tau] + 7.71e-9 * cos[3.87410612014 + 9690.7081281172 * tau] + 6.92e-9 * cos[2.63705354662 + 6.592282139 * tau] + 7.11e-9 * cos[4.82250918143 + 11.7794134468 * tau] + 7.24e-9 * cos[6.08692841992 + 2281.2304965106 * tau] + 7.64e-9 * cos[4.91747674296 + 1670.8250285 * tau] + 7.00e-9 * cos[1.72050221502 + 775.233389447 * tau] + 8.10e-9 * cos[4.69425300466 + 2228.9701815978 * tau] + 7.67e-9 * cos[3.33725133157 + 99.1606209555 * tau] + 9.54e-9 * cos[2.94534072982 + 462.0229135281 * tau] + 7.59e-9 * cos[3.82014112009 + 6283.0758499914 * tau] + 7.85e-9 * cos[0.57841470897 + 850.0149880143 * tau] + 8.42e-9 * cos[3.39449778904 + 484.444382456 * tau] + 7.90e-9 * cos[2.88034567513 + 938.1299087059 * tau] + 7.41e-9 * cos[1.32379374647 + 530.2122299564 * tau] + 8.21e-9 * cos[3.53889274951 + 498.6714764576 * tau] + 8.92e-9 * cos[5.36446426391 + 827.9235874865 * tau] + 8.20e-9 * cos[0.99821486743 + 373.0142209592 * tau] + 7.99e-9 * cos[2.08457026425 + 77734.01845962799 * tau] + 8.46e-9 * cos[3.0287839349 + 5746.271337896 * tau] + 1.053e-8 * cos[5.23433104008 + 842.1506814881 * tau] + 9.33e-9 * cos[0.30976125598 + 685.4739373527 * tau] + 7.99e-9 * cos[1.6042649759 + 5223.6939198022 * tau] + 7.90e-9 * cos[0.11493626208 + 460.5384408198 * tau] + 1.106e-8 * cos[2.60444312553 + 209.3669421749 * tau] + 8.64e-9 * cos[1.83217006136 + 4.665866446 * tau] + 8.09e-9 * cos[4.14122746067 + 114.1384744825 * tau] + 8.08e-9 * cos[0.48295590141 + 3377.217792004 * tau] + 1.131e-8 * cos[5.46382510304 + 224.3447957019 * tau] + 8.94e-9 * cos[0.2694082187 + 2655.5683724738 * tau] + 9.23e-9 * cos[4.44469169065 + 9676.4810341156 * tau] + 9.38e-9 * cos[5.42471506763 + 1585.1407420207 * tau] + 1.078e-8 * cos[4.78329116086 + 2730.2069586892 * tau] + 8.96e-9 * cos[0.22222521202 + 746.9222137957 * tau] + 9.24e-9 * cos[2.31939900786 + 327.4375699205 * tau] + 1.011e-8 * cos[0.30814674949 + 1593.0050485469 * tau] + 9.47e-9 * cos[0.50856414717 + 842.9014410135 * tau] + 1.165e-8 * cos[1.56030440737 + 630.3360587584 * tau] + 8.84e-9 * cos[4.69777781327 + 960.2213092337 * tau] + 1.191e-8 * cos[2.25249961404 + 106.2741679563 * tau] + 1.136e-8 * cos[2.2656859095 + 525.4981794006 * tau] + 1.060e-8 * cos[3.18542176646 + 447.7958195265 * tau] + 9.53e-9 * cos[2.83352026342 + 3583.4033404412 * tau] + 1.083e-8 * cos[4.8837390981 + 1166.4068576709 * tau] + 9.65e-9 * cos[5.63719524421 + 1603.2999892854 * tau] + 1.007e-8 * cos[4.11504050436 + 501.2367770914 * tau] + 9.81e-9 * cos[3.15500987023 + 70.8494453042 * tau] + 1.002e-8 * cos[5.5521611741 + 337.732510659 * tau] + 1.061e-8 * cos[2.44580706826 + 1048.3362299253 * tau] + 1.361e-8 * cos[3.46603373194 + 107.0249274817 * tau] + 1.343e-8 * cos[0.29600445633 + 860.3099287528 * tau] + 1.037e-8 * cos[5.48955598976 + 1585.8915015461 * tau] + 1.072e-8 * cos[0.07132659992 + 1070.4276304531 * tau] + 1.083e-8 * cos[3.57026506855 + 2943.5060541272 * tau] + 1.078e-8 * cos[5.2399179294 + 1159.2933106701 * tau] + 1.123e-8 * cos[1.45270581179 + 533.8837507886 * tau] + 1.458e-8 * cos[5.19315120878 + 1592.2542890215 * tau] + 1.100e-8 * cos[1.74769285223 + 497.4476361802 * tau] + 1.195e-8 * cos[4.16301075999 + 203.0041546995 * tau] + 1.114e-8 * cos[3.5333963729 + 483.2205421786 * tau] + 1.149e-8 * cos[3.91142023857 + 99.9113804809 * tau] + 1.482e-8 * cos[0.83066678204 + 529.1697002328 * tau] + 1.541e-8 * cos[3.51095241498 + 2751.5475996916 * tau] + 1.243e-8 * cos[0.29239666059 + 597.3590166611 * tau] + 1.558e-8 * cos[6.17808619637 + 983.1158589136 * tau] + 1.329e-8 * cos[0.88314574243 + 916.9322800554 * tau] + 1.320e-8 * cos[5.80675430384 + 387.2413149608 * tau] + 1.244e-8 * cos[2.83383980283 + 124.433415221 * tau] + 1.401e-8 * cos[4.81225317549 + 1251.3403846248 * tau] + 1.498e-8 * cos[0.17285954362 + 1141.1340634054 * tau] + 1.390e-8 * cos[3.76737324192 + 1165.6560981455 * tau] + 1.802e-8 * cos[2.23019296374 + 2854.6403739102 * tau] + 1.707e-8 * cos[6.28253681644 + 18.1592472647 * tau] + 1.605e-8 * cos[4.27993020192 + 2531.1349572528 * tau] + 1.460e-8 * cos[4.00706825185 + 3370.1042450032 * tau] + 1.377e-8 * cos[0.10015418633 + 490.3340891794 * tau] + 1.459e-8 * cos[3.32546061506 + 1041.2226829245 * tau] + 1.574e-8 * cos[1.89565809136 + 437.6438911399 * tau] + 1.387e-8 * cos[2.52840497309 + 530.44172462 * tau] + 1.615e-8 * cos[1.45018725033 + 902.7051860538 * tau] + 1.772e-8 * cos[5.82549274759 + 909.8187330546 * tau] + 1.548e-8 * cos[3.48799710267 + 934.9485149682 * tau] + 1.656e-8 * cos[6.0966708974 + 530.6541729411 * tau] + 1.557e-8 * cos[5.43779802371 + 81.7521332162 * tau] + 1.439e-8 * cos[4.26513521887 + 526.7702037878 * tau] + 1.440e-8 * cos[4.37872256685 + 3178.1457905676 * tau] + 1.897e-8 * cos[3.79973291113 + 953.1077622329 * tau] + 1.628e-8 * cos[5.24285773388 + 1354.4331588434 * tau] + 1.539e-8 * cos[0.37324921979 + 319.5732633943 * tau] + 1.542e-8 * cos[1.12520322326 + 1021.2488945514 * tau] + 1.525e-8 * cos[4.08789824989 + 1158.5425511447 * tau] + 1.550e-8 * cos[0.64264572959 + 312.4597163935 * tau] + 1.595e-8 * cos[1.18530167095 + 38.1330356378 * tau] + 1.662e-8 * cos[0.27359627181 + 454.9093665273 * tau] + 1.582e-8 * cos[5.84373095005 + 547.8502123593 * tau] + 1.634e-8 * cos[2.98113068812 + 945.2434557067 * tau] + 1.898e-8 * cos[2.71948262975 + 952.3570027075 * tau] + 1.933e-8 * cos[2.49162437046 + 2957.7331481288 * tau] + 2.095e-8 * cos[2.67732367556 + 529.7391492044 * tau] + 2.060e-8 * cos[5.04785330873 + 2413.8150890326 * tau] + 1.729e-8 * cos[4.26127896267 + 724.8308132679 * tau] + 1.655e-8 * cos[0.78809717175 + 3060.8259223474 * tau] + 1.660e-8 * cos[2.34370903423 + 528.7277572481 * tau] + 2.119e-8 * cos[0.41049593984 + 1279.794572628 * tau] + 1.712e-8 * cos[4.02986641257 + 731.9443602687 * tau] + 1.807e-8 * cos[3.17208959472 + 2524.021410252 * tau] + 2.121e-8 * cos[3.92430797099 + 2435.155730035 * tau] + 2.074e-8 * cos[5.85386852879 + 532.6117264014 * tau] + 2.286e-8 * cos[2.93885172004 + 76.2660712756 * tau] + 1.877e-8 * cos[3.26978877187 + 3267.0114707846 * tau] + 1.955e-8 * cos[5.49000238006 + 1439.5096981492 * tau] + 1.923e-8 * cos[4.75088270631 + 535.107591066 * tau] + 1.969e-8 * cos[5.37427735384 + 142.4496501338 * tau] + 2.305e-8 * cos[1.6122066569 + 604.4725636619 * tau] + 2.089e-8 * cos[4.18463193132 + 945.9942152321 * tau] + 2.021e-8 * cos[3.81308146017 + 2627.1141844706 * tau] + 2.095e-8 * cos[5.76269812349 + 529.6427809848 * tau] + 2.441e-8 * cos[2.63840901843 + 760.25553592 * tau] + 2.036e-8 * cos[4.84043420813 + 1049.0869894507 * tau] + 2.666e-8 * cos[3.92538056951 + 210.1177017003 * tau] + 2.623e-8 * cos[5.82647427958 + 732.6951197941 * tau] + 2.372e-8 * cos[4.19741177512 + 217.2312487011 * tau] + 2.268e-8 * cos[5.5224811056 + 524.2743391232 * tau] + 2.251e-8 * cos[4.2159824736 + 739.0579072695 * tau] + 2.614e-8 * cos[3.17862099921 + 527.2432845398 * tau] + 2.683e-8 * cos[4.24641945773 + 3053.7123753466 * tau] + 2.635e-8 * cos[5.25517910535 + 532.1386456494 * tau] + 2.869e-8 * cos[1.31799241974 + 611.4430983108 * tau] + 3.566e-8 * cos[1.63400343968 + 525.0250986486 * tau] + 2.901e-8 * cos[0.91012525424 + 984.6003316219 * tau] + 3.401e-8 * cos[2.74761862893 + 2641.3412784722 * tau] + 3.580e-8 * cos[5.29481665335 + 2097.423219376 * tau] + 3.442e-8 * cos[4.34217280083 + 305.3461693927 * tau] + 3.421e-8 * cos[3.38512615384 + 149.5631971346 * tau] + 3.185e-8 * cos[2.69708590442 + 561.934294009 * tau] + 3.623e-8 * cos[4.64011531952 + 2214.7430875962 * tau] + 3.329e-8 * cos[5.50043586719 + 739.8086667949 * tau] + 3.339e-8 * cos[4.85708402591 + 295.0512286542 * tau] + 4.394e-8 * cos[0.18808423412 + 824.7421937488 * tau] + 3.437e-8 * cos[4.26164443643 + 10.2949407385 * tau] + 3.488e-8 * cos[5.33792561596 + 458.8415197904 * tau] + 4.221e-8 * cos[2.37721579949 + 2538.2485042536 * tau] + 3.818e-8 * cos[1.14800596289 + 74.7815985673 * tau] + 3.677e-8 * cos[2.19480200527 + 534.3568315406 * tau] + 3.667e-8 * cos[4.12268925541 + 440.8252848776 * tau] + 3.695e-8 * cos[1.03127824978 + 2744.4340526908 * tau] + 4.559e-8 * cos[4.23723998745 + 227.5261894396 * tau] + 3.765e-8 * cos[3.42751259825 + 2950.619601128 * tau] + 4.304e-8 * cos[4.60536378943 + 647.0108333148 * tau] + 4.034e-8 * cos[4.09631702747 + 430.5303441391 * tau] + 5.476e-8 * cos[5.63198569698 + 618.5566453116 * tau] + 4.073e-8 * cos[1.1301490318 + 415.5524906121 * tau] + 4.471e-8 * cos[1.47603161897 + 408.4389436113 * tau] + 4.718e-8 * cos[4.55578336947 + 2737.32050569 * tau] + 4.526e-8 * cos[4.07729737127 + 2310.722314814 * tau] + 4.627e-8 * cos[3.34644534691 + 2207.6295405954 * tau] + 4.681e-8 * cos[4.61057119508 + 643.8294395771 * tau] + 6.187e-8 * cos[3.87193497099 + 191.9584544356 * tau] + 5.224e-8 * cos[0.18468411116 + 117.3198682202 * tau] + 4.989e-8 * cos[1.3515369468 + 1382.8873468466 * tau] + 5.460e-8 * cos[4.91084384602 + 835.0371344873 * tau] + 5.119e-8 * cos[0.06942832171 + 1063.3140834523 * tau] + 5.876e-8 * cos[4.23153077453 + 539.9859058331 * tau] + 5.133e-8 * cos[6.2164691798 + 963.4027029714 * tau] + 6.598e-8 * cos[5.55348005731 + 1781.0313497194 * tau] + 7.305e-8 * cos[3.02062127734 + 416.3032501375 * tau] + 6.504e-8 * cos[4.56908431757 + 1038.0412891868 * tau] + 5.936e-8 * cos[2.5831223512 + 569.0478410098 * tau] + 6.243e-8 * cos[6.13691919694 + 2125.8774073792 * tau] + 6.173e-8 * cos[3.65617162985 + 621.7380390493 * tau] + 6.794e-8 * cos[2.90878831415 + 2324.9494088156 * tau] + 6.214e-8 * cos[4.46490158256 + 551.031606097 * tau] + 6.464e-8 * cos[1.39173466879 + 422.6660376129 * tau] + 7.226e-8 * cos[4.97823884383 + 1898.3512179396 * tau] + 7.083e-8 * cos[4.99096728816 + 1055.4497769261 * tau] + 7.293e-8 * cos[4.97763580465 + 1699.2792165032 * tau] + 6.904e-8 * cos[5.96616555709 + 540.7366653585 * tau] + 9.468e-8 * cos[4.33472161983 + 1802.3719907218 * tau] + 8.552e-8 * cos[4.53818617984 + 21.3406410024 * tau] + 8.912e-8 * cos[4.80973516711 + 1062.5633239269 * tau] + 8.867e-8 * cos[1.85684753622 + 750.1036075334 * tau] + 8.078e-8 * cos[1.29246272894 + 2428.0421830342 * tau] + 8.126e-8 * cos[3.72977106954 + 2634.2277314714 * tau] + 8.952e-8 * cos[4.79407952752 + 2420.9286360334 * tau] + 8.620e-8 * cos[5.16374493158 + 1056.2005364515 * tau] + 1.0131e-7 * cos[2.76432756215 + 423.4167971383 * tau] + 9.728e-8 * cos[4.38837468002 + 1994.3304451574 * tau] + 1.0487e-7 * cos[0.49850799841 + 453.424893819 * tau] + 1.1351e-7 * cos[2.5760688623 + 511.5317178299 * tau] + 1.3121e-7 * cos[5.83845065644 + 1464.6394800628 * tau] + 1.1221e-7 * cos[3.55311861205 + 1891.2376709388 * tau] + 1.4348e-7 * cos[2.74177797727 + 2221.856634597 * tau] + 1.1166e-7 * cos[4.62623267608 + 636.7158925763 * tau] + 1.1836e-7 * cos[4.08486322993 + 2648.454825473 * tau] + 1.2272e-7 * cos[3.37671053917 + 635.9651330509 * tau] + 1.2459e-7 * cos[1.58587053146 + 2111.6503133776 * tau] + 1.5740e-7 * cos[2.93038271684 + 1905.4647649404 * tau] + 1.3499e-7 * cos[1.38539534821 + 518.6452648307 * tau] + 1.8481e-7 * cos[6.03032762264 + 330.6189636582 * tau] + 1.3728e-7 * cos[4.87623389735 + 629.6023455755 * tau] + 1.4575e-7 * cos[5.50832843322 + 721.6494195302 * tau] + 1.4499e-7 * cos[3.63339836845 + 628.8515860501 * tau] + 1.5337e-7 * cos[2.92700926091 + 2008.557539159 * tau] + 1.6671e-7 * cos[5.42931676507 + 88.865680217 * tau] + 1.7031e-7 * cos[4.01843356903 + 2317.8358618148 * tau] + 1.8869e-7 * cos[5.05259402407 + 2104.5367663768 * tau] + 1.8427e-7 * cos[3.765221783 + 1485.9801210652 * tau] + 1.9528e-7 * cos[5.10596326232 + 1073.6090241908 * tau] + 1.9925e-7 * cos[4.62967500111 + 1677.9385755008 * tau] + 2.0499e-7 * cos[4.32881495378 + 3.1813937377 * tau] + 2.2604e-7 * cos[0.19173890105 + 380.12776796 * tau] + 2.7025e-7 * cos[6.09669947903 + 1148.2476104062 * tau] + 2.4778e-7 * cos[2.7290789741 + 405.2575498736 * tau] + 2.5180e-7 * cos[4.33777727362 + 519.3960243561 * tau] + 2.9332e-7 * cos[5.16619257786 + 3.9321532631 * tau] + 3.6296e-7 * cos[3.84995284393 + 1574.8458012822 * tau] + 3.5611e-7 * cos[1.76205571128 + 1795.258443721 * tau] + 3.8263e-7 * cos[5.33025236797 + 1788.1448967202 * tau] + 4.9395e-7 * cos[4.01422828967 + 220.4126424388 * tau] + 3.7695e-7 * cos[4.26767539209 + 2001.4439921582 * tau] + 4.2172e-7 * cos[1.22404278447 + 853.196381752 * tau] + 4.3554e-7 * cos[4.94441642712 + 1361.5467058442 * tau] + 5.0597e-7 * cos[4.8560316177 + 1375.7737998458 * tau] + 5.5769e-7 * cos[4.75141241141 + 302.164775655 * tau] + 5.2338e-7 * cos[5.53074272117 + 433.7117378768 * tau] + 5.5319e-7 * cos[0.35180851191 + 316.3918696566 * tau] + 8.2132e-7 * cos[3.80763015979 + 508.3503240922 * tau] + 8.5766e-7 * cos[0.07906707372 + 831.8557407496 * tau] + 7.7854e-7 * cos[5.56722651753 + 1471.7530270636 * tau] + 0.00000100164 * cos[5.24693885858 + 1265.5674786264 * tau] + 7.9552e-7 * cos[2.71898473954 + 1692.1656695024 * tau] + 8.0536e-7 * cos[4.11311699583 + 1258.4539316256 * tau] + 0.00000110638 * cos[3.62504147403 + 1272.6810256272 * tau] + 9.1608e-7 * cos[4.52965592121 + 1685.0521225016 * tau] + 9.8527e-7 * cos[5.72833991647 + 1596.1864422846 * tau] + 0.00000115313 * cos[4.46741278152 + 1581.959348283 * tau] + 0.00000121861 * cos[4.40581788491 + 1169.5882514086 * tau] + 0.00000123851 * cos[2.04290370696 + 1478.8665740644 * tau] + 0.00000132076 * cos[4.51187950811 + 525.7588118315 * tau] + 0.00000133483 * cos[1.32245735855 + 110.2063212194 * tau] + 0.00000146335 * cos[6.12958365535 + 533.6231183577 * tau] + 0.00000170225 * cos[4.84647488867 + 526.5095713569 * tau] + 0.0000020019 * cos[4.43888814441 + 1045.1548361876 * tau] + 0.00000196005 * cos[3.75877587139 + 199.0720014364 * tau] + 0.00000197134 * cos[3.70551461394 + 2118.7638603784 * tau] + 0.00000180134 * cos[4.40165491159 + 532.8723588323 * tau] + 0.00000183504 * cos[4.26526769703 + 95.9792272178 * tau] + 0.00000246603 * cos[3.92313823537 + 942.062061969 * tau] + 0.00000203217 * cos[5.59995425432 + 1155.361157407 * tau] + 0.00000220084 * cos[4.84210964963 + 1368.660252845 * tau] + 0.00000260753 * cos[5.34290306101 + 846.0828347512 * tau] + 0.00000347378 * cos[4.68148808722 + 14.2270940016 * tau] + 0.00000401738 * cos[4.60528841541 + 309.2783226558 * tau] + 0.00000337555 * cos[3.1678195112 + 956.2891559706 * tau] + 0.00000484689 * cos[2.46882793186 + 949.1756089698 * tau] + 0.00000415894 * cos[5.36836018215 + 728.762966531 * tau] + 0.00000567076 * cos[4.57655414712 + 742.9900605326 * tau] + 0.00000444683 * cos[0.40281181402 + 323.5054166574 * tau] + 0.00000468895 * cos[4.70973463481 + 543.9180590962 * tau] + 0.00000676928 * cos[6.2495347979 + 838.9692877504 * tau] + 0.00000806404 * cos[2.6775080138 + 632.7837393132 * tau] + 0.00000740996 * cos[2.17094630558 + 1162.4747044078 * tau] + 0.00001024802 * cos[2.55432643018 + 412.3710968744 * tau] + 0.00001049866 * cos[3.16113622955 + 213.299095438 * tau] + 0.00001641257 * cos[4.41628669824 + 625.6701923124 * tau] + 0.00001646182 * cos[5.30953510947 + 1066.49547719 * tau] + 0.00002100507 * cos[3.92762682306 + 639.897286314 * tau] + 0.00002676575 * cos[4.33052878699 + 1052.2683831884 * tau] + 0.00002806064 * cos[3.7422369358 + 515.463871093 * tau] + 0.00002412207 * cos[1.46947308304 + 426.598190876 * tau] + 0.00002600003 * cos[3.63435101622 + 206.1855484372 * tau] + 0.00003403605 * cos[3.34688537997 + 1589.0728952838 * tau] + 0.00003203446 * cos[5.21083285476 + 735.8765135318 * tau] + 0.00003175763 * cos[2.79297987071 + 103.0927742186 * tau] + 0.0000916636 * cos[4.75979408587 + 7.1135470008 * tau] + 0.0001184719 * cos[2.41329588176 + 419.4846438752 * tau] + 0.00041390257 * cos[0.0 + 0.0 * tau] + 0.00031185167 * cos[4.88276663526 + 536.8045120954 * tau] + 0.00053443592 * cos[3.89717644226 + 522.5774180938 * tau] + 0.00061661771 * cos[3.00076251018 + 1059.3819301892 * tau] + 0.01271801596 * cos[2.64937511122 + 529.6909650946 * tau]; R2 = 3.78e-9 * cos[0.8612245094 + 525.0250986486 * tau] + 4.00e-9 * cos[3.13887720912 + 540.7366653585 * tau] + 4.58e-9 * cos[4.91616403047 + 3067.9394693482 * tau] + 5.33e-9 * cos[5.61415688189 + 2524.021410252 * tau] + 5.15e-9 * cos[3.54549816613 + 3178.1457905676 * tau] + 5.33e-9 * cos[4.77083438961 + 3473.1970192218 * tau] + 4.04e-9 * cos[2.77840802846 + 7.1617311106 * tau] + 5.19e-9 * cos[2.43126348834 + 3686.4961146598 * tau] + 5.16e-9 * cos[3.89424540015 + 2516.9078632512 * tau] + 4.97e-9 * cos[0.30985248432 + 2428.0421830342 * tau] + 4.29e-9 * cos[0.16627197188 + 74.7815985673 * tau] + 4.47e-9 * cos[3.51498961805 + 18.1592472647 * tau] + 5.28e-9 * cos[5.81786945766 + 2627.1141844706 * tau] + 4.67e-9 * cos[5.9234342384 + 203.0041546995 * tau] + 4.90e-9 * cos[1.57324553106 + 1251.3403846248 * tau] + 5.10e-9 * cos[5.35664230912 + 9.5612275556 * tau] + 4.76e-9 * cos[2.17592053936 + 149.5631971346 * tau] + 4.83e-9 * cos[3.03782387056 + 3281.2385647862 * tau] + 6.51e-9 * cos[5.12199308959 + 3156.8051495652 * tau] + 5.39e-9 * cos[5.33214565622 + 2751.5475996916 * tau] + 5.11e-9 * cos[3.2855327837 + 4.665866446 * tau] + 5.41e-9 * cos[6.19275150397 + 1987.2168981566 * tau] + 5.34e-9 * cos[0.99911551571 + 462.0229135281 * tau] + 5.38e-9 * cos[4.92334194042 + 447.7958195265 * tau] + 5.63e-9 * cos[5.99845316446 + 1049.0869894507 * tau] + 6.21e-9 * cos[1.2446288744 + 3803.81598288 * tau] + 5.71e-9 * cos[2.98435419019 + 1262.3860848887 * tau] + 7.01e-9 * cos[4.23431087374 + 9683.5945811164 * tau] + 5.53e-9 * cos[1.85211127676 + 453.424893819 * tau] + 7.79e-9 * cos[2.38608991574 + 3267.0114707846 * tau] + 7.82e-9 * cos[2.52401202862 + 3679.382567659 * tau] + 6.62e-9 * cos[2.2176897639 + 2015.6710861598 * tau] + 7.34e-9 * cos[0.72837704619 + 1354.4331588434 * tau] + 5.73e-9 * cos[2.42701822581 + 739.0579072695 * tau] + 6.67e-9 * cos[0.89885058003 + 106.2741679563 * tau] + 7.41e-9 * cos[5.9317166201 + 2634.2277314714 * tau] + 7.46e-9 * cos[1.12371143332 + 739.8086667949 * tau] + 8.13e-9 * cos[6.01229270247 + 2214.7430875962 * tau] + 7.18e-9 * cos[4.83684196454 + 860.3099287528 * tau] + 8.66e-9 * cos[3.02831268213 + 3046.5988283458 * tau] + 7.39e-9 * cos[1.14609907817 + 2641.3412784722 * tau] + 6.70e-9 * cos[5.44169923277 + 107.0249274817 * tau] + 8.25e-9 * cos[2.70770030205 + 3370.1042450032 * tau] + 7.29e-9 * cos[0.65312263578 + 2538.2485042536 * tau] + 6.61e-9 * cos[5.99578306627 + 501.2367770914 * tau] + 6.71e-9 * cos[1.19532387143 + 124.433415221 * tau] + 7.58e-9 * cos[2.1935071986 + 9690.7081281172 * tau] + 7.64e-9 * cos[6.11686539353 + 9676.4810341156 * tau] + 7.73e-9 * cos[0.77131695762 + 5760.4984318976 * tau] + 9.10e-9 * cos[0.08774541571 + 2737.32050569 * tau] + 7.80e-9 * cos[4.6946331693 + 5746.271337896 * tau] + 8.80e-9 * cos[1.14789972199 + 952.3570027075 * tau] + 7.63e-9 * cos[3.9852755963 + 337.732510659 * tau] + 8.11e-9 * cos[5.00475553271 + 319.5732633943 * tau] + 9.52e-9 * cos[1.5535577742 + 2324.9494088156 * tau] + 1.000e-8 * cos[1.34667100304 + 732.6951197941 * tau] + 7.89e-9 * cos[3.91035208173 + 10213.285546211 * tau] + 1.188e-8 * cos[0.75698357968 + 2097.423219376 * tau] + 8.74e-9 * cos[6.01240284465 + 511.5317178299 * tau] + 8.74e-9 * cos[5.21903196047 + 2207.6295405954 * tau] + 9.08e-9 * cos[2.54355964041 + 6283.0758499914 * tau] + 9.38e-9 * cos[6.18136092771 + 945.9942152321 * tau] + 9.37e-9 * cos[1.0308327676 + 81.7521332162 * tau] + 9.46e-9 * cos[5.59968097387 + 99.9113804809 * tau] + 1.072e-8 * cos[3.86169004168 + 1603.2999892854 * tau] + 1.259e-8 * cos[1.19687222266 + 1063.3140834523 * tau] + 1.108e-8 * cos[4.22655117757 + 934.9485149682 * tau] + 1.186e-8 * cos[5.98943062173 + 2310.722314814 * tau] + 1.126e-8 * cos[4.199896736 + 547.8502123593 * tau] + 1.129e-8 * cos[1.5903029132 + 380.12776796 * tau] + 1.422e-8 * cos[0.17649746278 + 2420.9286360334 * tau] + 1.797e-8 * cos[3.00776822706 + 2648.454825473 * tau] + 1.445e-8 * cos[0.08308050305 + 1382.8873468466 * tau] + 1.885e-8 * cos[2.78775930564 + 1802.3719907218 * tau] + 1.868e-8 * cos[1.12487729469 + 618.5566453116 * tau] + 2.098e-8 * cos[1.04559231028 + 1781.0313497194 * tau] + 2.026e-8 * cos[4.61781314145 + 423.4167971383 * tau] + 1.646e-8 * cos[5.88662636573 + 2317.8358618148 * tau] + 1.606e-8 * cos[5.76205763975 + 117.3198682202 * tau] + 1.622e-8 * cos[3.51892791175 + 1055.4497769261 * tau] + 1.624e-8 * cos[2.42139677881 + 10.2949407385 * tau] + 1.622e-8 * cos[0.36650974375 + 1056.2005364515 * tau] + 1.667e-8 * cos[2.32455940876 + 440.8252848776 * tau] + 1.611e-8 * cos[5.83466560322 + 422.6660376129 * tau] + 1.814e-8 * cos[1.60250861074 + 2008.557539159 * tau] + 2.547e-8 * cos[1.2390835309 + 2221.856634597 * tau] + 1.854e-8 * cos[4.71794950485 + 2125.8774073792 * tau] + 2.324e-8 * cos[1.94960720763 + 824.7421937488 * tau] + 1.880e-8 * cos[3.14403615586 + 611.4430983108 * tau] + 1.940e-8 * cos[0.29170673525 + 2111.6503133776 * tau] + 1.904e-8 * cos[3.43534792123 + 647.0108333148 * tau] + 1.927e-8 * cos[0.32286661566 + 295.0512286542 * tau] + 1.989e-8 * cos[0.29206371261 + 636.7158925763 * tau] + 2.468e-8 * cos[0.06551346218 + 750.1036075334 * tau] + 2.529e-8 * cos[2.39697505835 + 227.5261894396 * tau] + 2.077e-8 * cos[3.32602157426 + 1699.2792165032 * tau] + 2.579e-8 * cos[0.03256542251 + 1898.3512179396 * tau] + 2.328e-8 * cos[4.28236795066 + 963.4027029714 * tau] + 2.263e-8 * cos[6.19233486371 + 1994.3304451574 * tau] + 2.187e-8 * cos[1.71707514653 + 628.8515860501 * tau] + 2.659e-8 * cos[4.8245997422 + 416.3032501375 * tau] + 2.174e-8 * cos[5.32613824409 + 1891.2376709388 * tau] + 2.614e-8 * cos[0.55149554149 + 2104.5367663768 * tau] + 2.590e-8 * cos[3.24430559059 + 1062.5633239269 * tau] + 3.174e-8 * cos[5.54870592599 + 191.9584544356 * tau] + 3.410e-8 * cos[2.44624067925 + 539.9859058331 * tau] + 3.103e-8 * cos[6.22971614425 + 2001.4439921582 * tau] + 3.226e-8 * cos[6.18716071251 + 1038.0412891868 * tau] + 3.270e-8 * cos[1.18744032691 + 1905.4647649404 * tau] + 4.409e-8 * cos[1.2812775105 + 1464.6394800628 * tau] + 3.314e-8 * cos[0.55067236587 + 1795.258443721 * tau] + 3.627e-8 * cos[2.71151441113 + 551.031606097 * tau] + 4.230e-8 * cos[1.61046658091 + 635.9651330509 * tau] + 4.239e-8 * cos[0.40758287124 + 629.6023455755 * tau] + 5.307e-8 * cos[0.85008578245 + 1788.1448967202 * tau] + 4.692e-8 * cos[0.86220230505 + 3.9321532631 * tau] + 4.664e-8 * cos[2.28007273876 + 1485.9801210652 * tau] + 4.930e-8 * cos[0.04683167622 + 1677.9385755008 * tau] + 5.079e-8 * cos[2.97991736844 + 1375.7737998458 * tau] + 5.163e-8 * cos[2.79219166952 + 21.3406410024 * tau] + 7.037e-8 * cos[4.44127496638 + 330.6189636582 * tau] + 6.110e-8 * cos[2.50080005128 + 3.1813937377 * tau] + 9.135e-8 * cos[1.51210840939 + 1148.2476104062 * tau] + 7.320e-8 * cos[0.89341249264 + 721.6494195302 * tau] + 7.451e-8 * cos[0.88421084942 + 88.865680217 * tau] + 7.833e-8 * cos[0.17920601344 + 1685.0521225016 * tau] + 7.828e-8 * cos[0.65241611799 + 1478.8665740644 * tau] + 8.958e-8 * cos[6.26708748901 + 519.3960243561 * tau] + 8.314e-8 * cos[5.60169732564 + 1574.8458012822 * tau] + 8.701e-8 * cos[3.52167876799 + 1073.6090241908 * tau] + 8.977e-8 * cos[1.60328709409 + 1692.1656695024 * tau] + 1.0163e-7 * cos[0.99504635158 + 1471.7530270636 * tau] + 9.633e-8 * cos[6.01002272123 + 853.196381752 * tau] + 1.1979e-7 * cos[2.22872778682 + 220.4126424388 * tau] + 1.1695e-7 * cos[4.44394618065 + 405.2575498736 * tau] + 1.1945e-7 * cos[0.40671403646 + 1361.5467058442 * tau] + 1.3072e-7 * cos[0.79468040717 + 110.2063212194 * tau] + 1.2804e-7 * cos[3.90044242142 + 433.7117378768 * tau] + 1.7025e-7 * cos[0.53383755278 + 1368.660252845 * tau] + 1.9859e-7 * cos[0.064538258 + 1581.959348283 * tau] + 2.1295e-7 * cos[0.54429472455 + 1265.5674786264 * tau] + 2.1407e-7 * cos[4.35468497204 + 316.3918696566 * tau] + 1.7085e-7 * cos[5.89188996975 + 1258.4539316256 * tau] + 1.7581e-7 * cos[4.14974757919 + 846.0828347512 * tau] + 2.1714e-7 * cos[1.88820231818 + 1272.6810256272 * tau] + 1.9906e-7 * cos[1.16072627347 + 533.6231183577 * tau] + 1.9991e-7 * cos[0.04328951895 + 949.1756089698 * tau] + 2.9347e-7 * cos[1.7858969235 + 831.8557407496 * tau] + 2.2705e-7 * cos[0.17830004133 + 302.164775655 * tau] + 2.7477e-7 * cos[2.64841266238 + 2118.7638603784 * tau] + 2.7039e-7 * cos[2.80607741398 + 1169.5882514086 * tau] + 2.6330e-7 * cos[4.26891877269 + 1596.1864422846 * tau] + 2.8412e-7 * cos[2.87835720211 + 525.7588118315 * tau] + 2.9944e-7 * cos[0.93641735919 + 1155.361157407 * tau] + 4.4282e-7 * cos[0.27118152557 + 526.5095713569 * tau] + 4.4548e-7 * cos[5.52445621411 + 508.3503240922 * tau] + 3.9833e-7 * cos[5.94566506227 + 95.9792272178 * tau] + 5.1904e-7 * cos[5.58435625607 + 942.062061969 * tau] + 5.0057e-7 * cos[2.72063162317 + 532.8723588323 * tau] + 6.6572e-7 * cos[5.47307178077 + 199.0720014364 * tau] + 6.1649e-7 * cos[6.10137889854 + 1045.1548361876 * tau] + 5.6203e-7 * cos[0.95534810533 + 1162.4747044078 * tau] + 8.0328e-7 * cos[2.98122361797 + 742.9900605326 * tau] + 7.0451e-7 * cos[1.50988357484 + 213.299095438 * tau] + 7.5198e-7 * cos[1.60495195911 + 956.2891559706 * tau] + 8.3469e-7 * cos[0.05834873484 + 309.2783226558 * tau] + 9.4565e-7 * cos[1.70498041073 + 838.9692877504 * tau] + 8.6025e-7 * cos[5.14434751994 + 323.5054166574 * tau] + 0.00000113535 * cos[0.78713911289 + 728.762966531 * tau] + 0.00000138606 * cos[2.93235671606 + 14.2270940016 * tau] + 0.0000025729 * cos[0.96295364983 + 632.7837393132 * tau] + 0.00000199807 * cos[4.42884165317 + 103.0927742186 * tau] + 0.00000200783 * cos[3.06850623368 + 543.9180590962 * tau] + 0.00000229777 * cos[0.70530766213 + 735.8765135318 * tau] + 0.00000332578 * cos[0.00328961161 + 426.598190876 * tau] + 0.0000027992 * cos[4.26162555827 + 412.3710968744 * tau] + 0.00000342048 * cos[6.09922969324 + 1052.2683831884 * tau] + 0.00000362943 * cos[5.36761847267 + 206.1855484372 * tau] + 0.00000339043 * cos[6.12690864038 + 625.6701923124 * tau] + 0.0000049792 * cos[3.14159265359 + 0.0 * tau] + 0.00000377316 * cos[2.24248352873 + 1589.0728952838 * tau] + 0.0000042657 * cos[2.22753101795 + 639.897286314 * tau] + 0.00000406453 * cos[3.78250730354 + 1066.49547719 * tau] + 0.00000964466 * cos[5.48031822015 + 515.463871093 * tau] + 0.00000836267 * cos[4.19889881718 + 419.4846438752 * tau] + 0.00001860833 * cos[2.97682139367 + 7.1135470008 * tau] + 0.00005314006 * cos[1.83835109712 + 1059.3819301892 * tau] + 0.00007029864 * cos[3.27476965833 + 536.8045120954 * tau] + 0.00008251618 * cos[5.77773935444 + 522.5774180938 * tau] + 0.00079644833 * cos[1.35865896596 + 529.6909650946 * tau]; R3 = 5.06e-9 * cos[0.18719982992 + 10.2949407385 * tau] + 4.06e-9 * cos[3.93940190897 + 316.3918696566 * tau] + 4.24e-9 * cos[2.80194129521 + 81.7521332162 * tau] + 4.40e-9 * cos[5.98661963879 + 934.9485149682 * tau] + 4.96e-9 * cos[5.77087043616 + 1478.8665740644 * tau] + 5.08e-9 * cos[2.50298248836 + 2207.6295405954 * tau] + 4.65e-9 * cos[4.35550844067 + 1692.1656695024 * tau] + 5.46e-9 * cos[1.9577490573 + 1677.9385755008 * tau] + 6.97e-9 * cos[2.27179476322 + 1699.2792165032 * tau] + 5.41e-9 * cos[2.32424368689 + 1471.7530270636 * tau] + 5.31e-9 * cos[2.04824376019 + 295.0512286542 * tau] + 5.64e-9 * cos[1.92775967119 + 2634.2277314714 * tau] + 5.55e-9 * cos[2.18233983981 + 1062.5633239269 * tau] + 6.36e-9 * cos[4.40777238491 + 1382.8873468466 * tau] + 6.36e-9 * cos[5.51001645505 + 2413.8150890326 * tau] + 5.75e-9 * cos[6.13756590872 + 1279.794572628 * tau] + 6.43e-9 * cos[2.48127580335 + 1265.5674786264 * tau] + 7.41e-9 * cos[5.79934203525 + 1485.9801210652 * tau] + 6.94e-9 * cos[0.67080348659 + 440.8252848776 * tau] + 7.62e-9 * cos[2.25149516048 + 2538.2485042536 * tau] + 8.50e-9 * cos[0.94145487094 + 191.9584544356 * tau] + 8.02e-9 * cos[0.20759322884 + 1141.1340634054 * tau] + 8.76e-9 * cos[4.52127091462 + 750.1036075334 * tau] + 8.91e-9 * cos[0.59692950778 + 539.9859058331 * tau] + 7.71e-9 * cos[2.39070707004 + 2317.8358618148 * tau] + 7.89e-9 * cos[3.2338089325 + 2125.8774073792 * tau] + 9.08e-9 * cos[3.6880404733 + 824.7421937488 * tau] + 8.97e-9 * cos[4.9107363027 + 1670.8250285 * tau] + 1.136e-8 * cos[1.78981738432 + 1581.959348283 * tau] + 8.23e-9 * cos[4.86559196955 + 611.4430983108 * tau] + 8.92e-9 * cos[2.92543286761 + 1368.660252845 * tau] + 1.084e-8 * cos[1.07011164067 + 227.5261894396 * tau] + 9.83e-9 * cos[4.17198081351 + 2627.1141844706 * tau] + 1.372e-8 * cos[0.67467128629 + 551.031606097 * tau] + 1.001e-8 * cos[2.70272799283 + 519.3960243561 * tau] + 1.355e-8 * cos[1.17462112647 + 1038.0412891868 * tau] + 1.146e-8 * cos[2.54505851138 + 846.0828347512 * tau] + 1.207e-8 * cos[1.15774089269 + 1574.8458012822 * tau] + 1.671e-8 * cos[0.44352103086 + 533.6231183577 * tau] + 1.229e-8 * cos[3.01987279595 + 963.4027029714 * tau] + 1.629e-8 * cos[0.47376028854 + 526.5095713569 * tau] + 1.710e-8 * cos[2.70850417287 + 330.6189636582 * tau] + 2.003e-8 * cos[3.16520599208 + 1148.2476104062 * tau] + 1.520e-8 * cos[0.11641358425 + 949.1756089698 * tau] + 1.710e-8 * cos[1.98372066321 + 525.7588118315 * tau] + 1.910e-8 * cos[2.25964760758 + 1361.5467058442 * tau] + 1.670e-8 * cos[4.46255717328 + 853.196381752 * tau] + 1.955e-8 * cos[2.70341589777 + 721.6494195302 * tau] + 2.040e-8 * cos[2.16463966964 + 433.7117378768 * tau] + 1.980e-8 * cos[2.54989377864 + 88.865680217 * tau] + 2.006e-8 * cos[5.9448738836 + 110.2063212194 * tau] + 2.491e-8 * cos[0.35125020737 + 1272.6810256272 * tau] + 2.128e-8 * cos[1.51119399925 + 1258.4539316256 * tau] + 2.104e-8 * cos[1.06751462671 + 21.3406410024 * tau] + 2.387e-8 * cos[5.97080671477 + 1162.4747044078 * tau] + 2.189e-8 * cos[1.58907745204 + 2118.7638603784 * tau] + 2.274e-8 * cos[0.09211517505 + 632.7837393132 * tau] + 2.289e-8 * cos[1.94941487274 + 1073.6090241908 * tau] + 2.410e-8 * cos[0.42627205128 + 220.4126424388 * tau] + 2.442e-8 * cos[1.86965213405 + 532.8723588323 * tau] + 2.943e-8 * cos[2.32831075458 + 1155.361157407 * tau] + 3.551e-8 * cos[6.10714791535 + 405.2575498736 * tau] + 3.869e-8 * cos[5.99495313698 + 213.299095438 * tau] + 3.969e-8 * cos[1.21290005054 + 1169.5882514086 * tau] + 4.632e-8 * cos[2.82934545414 + 1596.1864422846 * tau] + 6.834e-8 * cos[3.45228722967 + 831.8557407496 * tau] + 5.577e-8 * cos[1.37980792905 + 95.9792272178 * tau] + 7.178e-8 * cos[0.92022189637 + 942.062061969 * tau] + 7.442e-8 * cos[1.28047007623 + 742.9900605326 * tau] + 6.672e-8 * cos[1.87004905364 + 302.164775655 * tau] + 9.301e-8 * cos[3.45126812476 + 838.9692877504 * tau] + 9.812e-8 * cos[6.26016859519 + 103.0927742186 * tau] + 1.0554e-7 * cos[6.27845112678 + 956.2891559706 * tau] + 1.1160e-7 * cos[1.79041437555 + 309.2783226558 * tau] + 1.5023e-7 * cos[0.89136998434 + 199.0720014364 * tau] + 1.2319e-7 * cos[2.60952614503 + 735.8765135318 * tau] + 1.1654e-7 * cos[3.55513510121 + 323.5054166574 * tau] + 1.2969e-7 * cos[1.5023378855 + 1045.1548361876 * tau] + 1.4466e-7 * cos[0.96040197071 + 508.3503240922 * tau] + 2.0804e-7 * cos[2.50071243814 + 728.762966531 * tau] + 3.3531e-7 * cos[0.84784977903 + 206.1855484372 * tau] + 3.0023e-7 * cos[4.63236245032 + 426.598190876 * tau] + 3.1195e-7 * cos[1.04290245896 + 1589.0728952838 * tau] + 3.3816e-7 * cos[1.66671706951 + 1052.2683831884 * tau] + 3.7477e-7 * cos[1.1826276233 + 14.2270940016 * tau] + 4.2824e-7 * cos[6.11689609099 + 419.4846438752 * tau] + 4.6935e-7 * cos[1.57864237959 + 625.6701923124 * tau] + 5.1079e-7 * cos[5.98016364677 + 412.3710968744 * tau] + 5.7653e-7 * cos[0.52580117593 + 639.897286314 * tau] + 5.7827e-7 * cos[1.41389745339 + 543.9180590962 * tau] + 8.9729e-7 * cos[3.14159265359 + 0.0 * tau] + 6.9078e-7 * cos[2.26885282314 + 1066.49547719 * tau] + 0.00000221512 * cos[0.95225226237 + 515.463871093 * tau] + 0.00000254893 * cos[1.19625473533 + 7.1135470008 * tau] + 0.00000341593 * cos[0.52296542656 + 1059.3819301892 * tau] + 0.00000915666 * cos[1.41329676116 + 522.5774180938 * tau] + 0.00001073239 * cos[1.6732134576 + 536.8045120954 * tau] + 0.00003519257 * cos[6.05800633846 + 529.6909650946 * tau]; R4 = 5.21e-9 * cos[0.24011424451 + 433.7117378768 * tau] + 4.91e-9 * cos[1.52912023181 + 405.2575498736 * tau] + 6.31e-9 * cos[1.83863158533 + 10.2949407385 * tau] + 6.12e-9 * cos[1.59320941864 + 3.1813937377 * tau] + 5.12e-9 * cos[4.44485521707 + 110.2063212194 * tau] + 5.84e-9 * cos[3.82243061802 + 618.5566453116 * tau] + 5.43e-9 * cos[5.26057584439 + 21.3406410024 * tau] + 5.53e-9 * cos[0.85896003802 + 330.6189636582 * tau] + 5.34e-9 * cos[1.83172084748 + 647.0108333148 * tau] + 6.67e-9 * cos[3.72432305249 + 88.865680217 * tau] + 7.65e-9 * cos[5.311472577 + 551.031606097 * tau] + 7.71e-9 * cos[2.19893222018 + 942.062061969 * tau] + 6.81e-9 * cos[2.8450717434 + 191.9584544356 * tau] + 6.56e-9 * cos[3.53022740783 + 302.164775655 * tau] + 7.12e-9 * cos[0.4965589703 + 1073.6090241908 * tau] + 7.88e-9 * cos[2.42252866885 + 117.3198682202 * tau] + 9.66e-9 * cos[5.47457968043 + 220.4126424388 * tau] + 7.88e-9 * cos[1.47515450553 + 1272.6810256272 * tau] + 9.55e-9 * cos[0.66801367802 + 1361.5467058442 * tau] + 9.16e-9 * cos[1.87129662931 + 1148.2476104062 * tau] + 8.70e-9 * cos[5.793878135 + 1169.5882514086 * tau] + 9.16e-9 * cos[3.17245716108 + 508.3503240922 * tau] + 1.161e-8 * cos[5.16181311538 + 831.8557407496 * tau] + 1.039e-8 * cos[4.41904942302 + 956.2891559706 * tau] + 1.697e-8 * cos[0.0 + 0.0 * tau] + 1.522e-8 * cos[1.33432648232 + 1596.1864422846 * tau] + 1.823e-8 * cos[1.89432426038 + 419.4846438752 * tau] + 1.805e-8 * cos[2.60030006919 + 199.0720014364 * tau] + 1.673e-8 * cos[2.81399290364 + 206.1855484372 * tau] + 2.114e-8 * cos[3.11758855774 + 1045.1548361876 * tau] + 2.268e-8 * cos[6.22195938856 + 1589.0728952838 * tau] + 2.562e-8 * cos[2.89802035072 + 426.598190876 * tau] + 2.593e-8 * cos[4.16090412984 + 728.762966531 * tau] + 2.911e-8 * cos[3.40334805052 + 1052.2683831884 * tau] + 5.377e-8 * cos[3.33501947275 + 625.6701923124 * tau] + 6.978e-8 * cos[1.42751292055 + 412.3710968744 * tau] + 6.271e-8 * cos[5.12286932534 + 639.897286314 * tau] + 8.107e-8 * cos[5.68228065707 + 14.2270940016 * tau] + 9.287e-8 * cos[0.76813946494 + 1066.49547719 * tau] + 1.2612e-7 * cos[6.01560416057 + 543.9180590962 * tau] + 1.7650e-7 * cos[5.40012536918 + 1059.3819301892 * tau] + 2.6694e-7 * cos[5.69142588558 + 7.1135470008 * tau] + 3.7883e-7 * cos[2.73326611144 + 515.463871093 * tau] + 8.2650e-7 * cos[3.29754909408 + 522.5774180938 * tau] + 0.00000113458 * cos[4.24858855779 + 529.6909650946 * tau] + 0.00000128628 * cos[0.08419309557 + 536.8045120954 * tau]; R5 = 1.033e-8 * cos[4.50671820436 + 529.6909650946 * tau] + 1.240e-8 * cos[3.77981722506 + 14.2270940016 * tau] + 1.612e-8 * cos[4.13222808529 + 1059.3819301892 * tau] + 1.590e-8 * cos[5.49312796166 + 1066.49547719 * tau] + 1.875e-8 * cos[3.69357495838 + 7.1135470008 * tau] + 1.908e-8 * cos[4.29659647286 + 543.9180590962 * tau] + 2.079e-8 * cos[5.56781555864 + 515.463871093 * tau] + 4.255e-8 * cos[5.9151622917 + 522.5774180938 * tau] + 1.1188e-7 * cos[4.75249399945 + 536.8045120954 * tau]; L = ((L0 + L1 tau + L2 tau^2 + L3 tau^3 + L4 tau^4 + L5 tau^5) radians) mod circle B = ((B0 + B1 tau + B2 tau^2 + B3 tau^3 + B4 tau^4 + B5 tau^5) radians) mod circle R = (R0 + R1 tau + R2 tau^2 + R3 tau^3 + R4 tau^4 + R5 tau^5) au return [L, B, R] } // // Saturn // // This function calculates the heliocentric coordinates of Saturn // referred to the mean equinox *of the date*. You may want to convert this // to another coordinate system, such as FK5. // // arguments: // d: the date/time to be calculated for // // returns: // [L, B, R] // // Where // L is the heliocentric longitude, // B is the heliocentric latitude // R is the distance from the sun. class var SaturnHeliocentricCoordinates = {|d| tau = meeusT[d] / 10 L0 = 7.2e-10 * cos[5.15715918322 + 110.1581371096 * tau] + 9.9e-10 * cos[0.15018241445 + 186.2117600641 * tau] + 7.2e-10 * cos[0.99858616883 + 280.2163874791 * tau] + 8.9e-10 * cos[5.85818860151 + 807.9497991134 * tau] + 9.4e-10 * cos[4.99996904753 + 378.6432952517 * tau] + 7.6e-10 * cos[1.78743197928 + 171.6545976624 * tau] + 7.4e-10 * cos[5.81587984729 + 316.4400537664 * tau] + 7.5e-10 * cos[2.77117107886 + 255.8373650909 * tau] + 8.1e-10 * cos[5.29639775054 + 111.1695290659 * tau] + 1.02e-9 * cos[2.11516755277 + 206.9363079626 * tau] + 8.7e-10 * cos[0.76830756075 + 201.9927627432 * tau] + 7.8e-10 * cos[5.5034351258 + 262.8078997398 * tau] + 8.1e-10 * cos[3.57727166766 + 205.9731001161 * tau] + 1.06e-9 * cos[2.29520624233 + 799.6124118352 * tau] + 8.2e-10 * cos[4.78557953017 + 195.7729876197 * tau] + 8.6e-10 * cos[0.97633784601 + 200.0352092829 * tau] + 8.2e-10 * cos[5.19618475111 + 1467.8208738005 * tau] + 8.2e-10 * cos[2.85558603378 + 318.8395502114 * tau] + 9.3e-10 * cos[5.76287499885 + 203.8979265768 * tau] + 8.8e-10 * cos[0.36828594935 + 444.1242986943 * tau] + 8.6e-10 * cos[4.50969293872 + 625.8826406335 * tau] + 1.11e-9 * cos[0.61102669309 + 1089.129394439 * tau] + 8.6e-10 * cos[4.57481701854 + 636.9765250072 * tau] + 9.3e-10 * cos[5.30395179617 + 222.7002642992 * tau] + 9.9e-10 * cos[4.375834924 + 640.4185511758 * tau] + 9.1e-10 * cos[4.84054379386 + 215.3048330081 * tau] + 1.00e-9 * cos[5.14847283436 + 226.7924762567 * tau] + 9.1e-10 * cos[6.22628300117 + 211.2933578679 * tau] + 1.27e-9 * cos[0.14136936897 + 2332.0629558164 * tau] + 9.8e-10 * cos[2.90784721214 + 199.9657733137 * tau] + 1.01e-9 * cos[4.77041950285 + 427.8702152632 * tau] + 1.04e-9 * cos[4.61148354671 + 220.5245170234 * tau] + 1.05e-9 * cos[3.48222097813 + 5863.5912061162 * tau] + 1.01e-9 * cos[3.86043866859 + 198.1087935899 * tau] + 1.15e-9 * cos[0.49160291262 + 517.1607921224 * tau] + 9.9e-10 * cos[0.16310526294 + 394.3548619616 * tau] + 9.9e-10 * cos[0.90073463816 + 586.3133163972 * tau] + 1.27e-9 * cos[4.89006771254 + 162.0933701068 * tau] + 1.01e-9 * cos[4.88259474274 + 425.3261664888 * tau] + 1.08e-9 * cos[2.46872857126 + 83.3796182764 * tau] + 9.8e-10 * cos[2.36210526249 + 634.2682120215 * tau] + 1.26e-9 * cos[3.95743516129 + 566.600160455 * tau] + 1.11e-9 * cos[5.01192320232 + 220.2001941177 * tau] + 1.27e-9 * cos[2.97263950543 + 498.9321088885 * tau] + 1.19e-9 * cos[3.03461367061 + 528.2064923863 * tau] + 1.22e-9 * cos[4.77182119272 + 604.4725636619 * tau] + 1.42e-9 * cos[6.14666228712 + 3340.6124266998 * tau] + 1.39e-9 * cos[2.21086387259 + 9573.388259897 * tau] + 1.15e-9 * cos[0.05845336809 + 631.8205314667 * tau] + 1.09e-9 * cos[1.38979633175 + 325.9530972122 * tau] + 1.09e-9 * cos[6.20303291896 + 220.3007678542 * tau] + 1.10e-9 * cos[2.37032413718 + 439.9315130003 * tau] + 1.23e-9 * cos[3.97560160218 + 499.895316735 * tau] + 1.34e-9 * cos[1.19058772772 + 502.8642621516 * tau] + 1.35e-9 * cos[2.69789181467 + 455.1699989582 * tau] + 1.16e-9 * cos[4.3480144872 + 418.9633790134 * tau] + 1.17e-9 * cos[3.13382984215 + 426.4381321816 * tau] + 1.17e-9 * cos[0.23611722307 + 426.7582495704 * tau] + 1.39e-9 * cos[6.02467582226 + 429.3065038617 * tau] + 1.37e-9 * cos[0.76499603885 + 476.1069951778 * tau] + 1.45e-9 * cos[5.85121885906 + 221.8971151471 * tau] + 1.21e-9 * cos[1.59513269211 + 184.8449074348 * tau] + 1.25e-9 * cos[4.60433583965 + 6076.8903015542 * tau] + 1.57e-9 * cos[4.56655940808 + 251.1714986449 * tau] + 1.40e-9 * cos[4.36785639279 + 207.0793203145 * tau] + 1.32e-9 * cos[2.39662455993 + 184.7272873558 * tau] + 1.58e-9 * cos[2.57990141197 + 369.9758395734 * tau] + 1.27e-9 * cos[1.48966646069 + 856.3777754897 * tau] + 1.34e-9 * cos[1.41837795083 + 3906.9087570986 * tau] + 1.40e-9 * cos[3.62845435388 + 423.8898778903 * tau] + 1.32e-9 * cos[4.98075995751 + 238.5718897035 * tau] + 1.28e-9 * cos[1.49742950959 + 45.2465826386 * tau] + 1.64e-9 * cos[1.68236348359 + 707.5653378805 * tau] + 1.32e-9 * cos[1.60614108449 + 1372.5924061081 * tau] + 1.40e-9 * cos[0.35530248121 + 219.5188705615 * tau] + 1.33e-9 * cos[5.70724173596 + 469.7271613599 * tau] + 1.58e-9 * cos[2.93809799392 + 211.6545640353 * tau] + 1.81e-9 * cos[0.78652249647 + 657.1627617014 * tau] + 1.74e-9 * cos[3.07450555579 + 64.9597385808 * tau] + 1.37e-9 * cos[3.494384829 + 212.4959462859 * tau] + 1.37e-9 * cos[1.28925665885 + 214.1022445901 * tau] + 1.89e-9 * cos[0.07069084691 + 1585.8915015461 * tau] + 1.71e-9 * cos[4.87848878292 + 354.5249052944 * tau] + 1.71e-9 * cos[3.34185265551 + 3067.9394693482 * tau] + 1.78e-9 * cos[5.34566184657 + 272.5815756165 * tau] + 1.57e-9 * cos[2.34913118792 + 5959.570433334 * tau] + 1.43e-9 * cos[3.42760427364 + 520.129737539 * tau] + 1.98e-9 * cos[3.14620903981 + 640.8604941605 * tau] + 1.54e-9 * cos[0.37169915171 + 285.1117485887 * tau] + 1.73e-9 * cos[1.9152883635 + 3487.4241132234 * tau] + 1.87e-9 * cos[3.17592113403 + 842.9014410135 * tau] + 1.67e-9 * cos[2.96547549589 + 1201.831580323 * tau] + 1.49e-9 * cos[2.69519361988 + 203.2647871304 * tau] + 1.45e-9 * cos[0.8967219869 + 632.831923423 * tau] + 1.69e-9 * cos[3.18325334507 + 757.8078553652 * tau] + 1.56e-9 * cos[3.05331862578 + 913.7508863177 * tau] + 1.70e-9 * cos[1.7077956077 + 493.303034596 * tau] + 1.61e-9 * cos[2.9630000889 + 152.7445908723 * tau] + 1.74e-9 * cos[2.88817750136 + 25668.418497699 * tau] + 1.88e-9 * cos[2.04023570497 + 1127.0499817557 * tau] + 1.95e-9 * cos[5.33376523453 + 1130.2313754934 * tau] + 1.58e-9 * cos[4.30854435851 + 633.7469471597 * tau] + 1.77e-9 * cos[4.68148789757 + 2921.1277828246 * tau] + 1.54e-9 * cos[4.54479813612 + 1239.5439248355 * tau] + 1.59e-9 * cos[3.10978439502 + 230.7075831773 * tau] + 1.84e-9 * cos[4.05878767739 + 976.7360250957 * tau] + 1.86e-9 * cos[5.72093247348 + 664.2763087022 * tau] + 1.56e-9 * cos[5.68482948401 + 649.4585138696 * tau] + 2.03e-9 * cos[5.91820261629 + 971.1069508032 * tau] + 1.56e-9 * cos[2.78001360754 + 1567.7322542814 * tau] + 1.57e-9 * cos[5.67235483479 + 77837.11123384659 * tau] + 1.51e-9 * cos[5.80616069064 + 680.0573113813 * tau] + 1.55e-9 * cos[0.02889842368 + 1357.6145525811 * tau] + 1.59e-9 * cos[2.00727485442 + 702.1487119091 * tau] + 1.58e-9 * cos[5.58628906712 + 42.3258213318 * tau] + 1.84e-9 * cos[6.19913208096 + 731.6837278378 * tau] + 1.84e-9 * cos[3.31730160238 + 1578.0271950199 * tau] + 2.06e-9 * cos[1.62702696825 + 389.9496279465 * tau] + 1.56e-9 * cos[1.61558494091 + 110.2545053292 * tau] + 1.53e-9 * cos[3.8300620821 + 318.679491517 * tau] + 1.67e-9 * cos[3.19767851189 + 635.231419868 * tau] + 1.70e-9 * cos[3.46903106526 + 1304.9243545416 * tau] + 1.85e-9 * cos[0.75718598244 + 1286.9081196288 * tau] + 1.85e-9 * cos[3.01715709315 + 55.8715917772 * tau] + 1.79e-9 * cos[5.74376301842 + 924.0458270562 * tau] + 1.60e-9 * cos[4.08093018212 + 632.7355552034 * tau] + 2.12e-9 * cos[5.98406058023 + 432.7485300303 * tau] + 1.58e-9 * cos[4.23116519562 + 821.703812363 * tau] + 1.74e-9 * cos[4.61279044571 + 223.3334037456 * tau] + 1.68e-9 * cos[0.3705510874 + 10007.0999977738 * tau] + 1.82e-9 * cos[5.26192506263 + 968.1380053866 * tau] + 1.56e-9 * cos[3.42359004405 + 241.7532834412 * tau] + 1.58e-9 * cos[4.7546243761 + 1534.7381658416 * tau] + 2.00e-9 * cos[5.54644533685 + 308.3151148093 * tau] + 2.06e-9 * cos[3.02518737424 + 1141.1340634054 * tau] + 1.60e-9 * cos[1.28778451384 + 962.5089310941 * tau] + 1.66e-9 * cos[2.8393687284 + 3553.9115221378 * tau] + 2.00e-9 * cos[4.33954193534 + 1364.7280995819 * tau] + 1.97e-9 * cos[1.43444932583 + 347.3631741838 * tau] + 2.01e-9 * cos[2.68411933635 + 795.6802585721 * tau] + 1.76e-9 * cos[1.0985763266 + 531.978586955 * tau] + 1.81e-9 * cos[2.20017945285 + 1049.0869894507 * tau] + 1.74e-9 * cos[0.94052578814 + 632.0329797878 * tau] + 1.72e-9 * cos[5.41410693088 + 2306.7901615509 * tau] + 1.84e-9 * cos[2.8746109364 + 398.1440028728 * tau] + 1.89e-9 * cos[0.28191962964 + 1175.8080265321 * tau] + 2.04e-9 * cos[6.12072939658 + 9360.089164459 * tau] + 1.66e-9 * cos[0.02413278965 + 224.6054281328 * tau] + 1.70e-9 * cos[1.30946662341 + 837.6972633632 * tau] + 1.66e-9 * cos[1.5859635437 + 1379.7059531089 * tau] + 1.87e-9 * cos[4.12687876136 + 9985.7593567714 * tau] + 1.70e-9 * cos[1.55680702386 + 1670.8250285 * tau] + 1.76e-9 * cos[2.08816807487 + 670.916774951 * tau] + 1.67e-9 * cos[6.22608046965 + 108.50940019 * tau] + 1.82e-9 * cos[0.76058628096 + 504.561183181 * tau] + 2.08e-9 * cos[4.68942071563 + 5429.8794682394 * tau] + 1.68e-9 * cos[0.65008064023 + 1493.093668066 * tau] + 1.88e-9 * cos[0.97173474238 + 1080.7225711916 * tau] + 2.11e-9 * cos[4.27999470527 + 1127.2624300768 * tau] + 2.02e-9 * cos[2.43755817264 + 812.1425848074 * tau] + 2.20e-9 * cos[2.89866380776 + 322.6116447801 * tau] + 1.74e-9 * cos[6.18833529233 + 3576.2897934404 * tau] + 2.13e-9 * cos[6.08436923028 + 271.61836777 * tau] + 2.29e-9 * cos[1.22330638216 + 2906.900688823 * tau] + 2.06e-9 * cos[0.38552475035 + 857.1285350151 * tau] + 1.77e-9 * cos[3.62811326217 + 326.6868103951 * tau] + 1.86e-9 * cos[3.13663606153 + 433.663553767 * tau] + 1.86e-9 * cos[4.48925201018 + 611.4430983108 * tau] + 1.95e-9 * cos[2.20599546209 + 66.1835788582 * tau] + 2.00e-9 * cos[0.68398141887 + 2015.6710861598 * tau] + 1.79e-9 * cos[4.55153097409 + 97.4636999261 * tau] + 2.01e-9 * cos[0.5021968074 + 36.3879304986 * tau] + 1.86e-9 * cos[4.55663748319 + 347.4113582936 * tau] + 1.79e-9 * cos[1.6650299905 + 244.791664827 * tau] + 1.95e-9 * cos[1.62629576534 + 364.3467652809 * tau] + 1.92e-9 * cos[1.36630036429 + 904.4021070832 * tau] + 2.10e-9 * cos[5.12097279511 + 3494.5376602242 * tau] + 2.01e-9 * cos[1.34290804373 + 1012.9115072732 * tau] + 1.92e-9 * cos[3.83148077309 + 666.723989257 * tau] + 1.89e-9 * cos[1.8424761039 + 434.6749457233 * tau] + 1.99e-9 * cos[4.70077509959 + 1276.6131788903 * tau] + 2.49e-9 * cos[3.47840802421 + 1045.8885493705 * tau] + 2.42e-9 * cos[3.41613986919 + 864.2420820159 * tau] + 1.83e-9 * cos[2.20151176434 + 35.1640902212 * tau] + 2.45e-9 * cos[0.76762638475 + 5643.1785636774 * tau] + 2.03e-9 * cos[0.16707173895 + 535.9107402181 * tau] + 1.86e-9 * cos[4.79530535895 + 843.6351541964 * tau] + 2.03e-9 * cos[3.88000057282 + 419.4364597654 * tau] + 2.03e-9 * cos[3.00078001542 + 1385.174968707 * tau] + 2.37e-9 * cos[2.1400737388 + 2700.7151403858 * tau] + 1.94e-9 * cos[2.83197251801 + 263.7016716171 * tau] + 2.55e-9 * cos[6.1179075155 + 763.4369296577 * tau] + 2.45e-9 * cos[3.94368773869 + 769.8167634756 * tau] + 2.03e-9 * cos[0.25518217825 + 4002.8879843164 * tau] + 2.06e-9 * cos[5.17010664247 + 253.4591205053 * tau] + 2.37e-9 * cos[1.24961141369 + 882.9438460018 * tau] + 2.21e-9 * cos[6.27951545913 + 1596.1864422846 * tau] + 2.24e-9 * cos[3.45391027762 + 1190.0351205337 * tau] + 2.32e-9 * cos[1.76503818816 + 354.2642728635 * tau] + 2.05e-9 * cos[1.04616771894 + 448.6895914038 * tau] + 2.47e-9 * cos[2.91348766248 + 689.6185389369 * tau] + 1.94e-9 * cos[5.59582424111 + 426.3375584451 * tau] + 2.39e-9 * cos[4.63640382863 + 868.7167520002 * tau] + 2.66e-9 * cos[1.45514683392 + 109.2431133729 * tau] + 1.97e-9 * cos[5.79126360809 + 639.9454704238 * tau] + 2.01e-9 * cos[1.49980256114 + 827.9235874865 * tau] + 1.97e-9 * cos[2.5938418852 + 639.8491022042 * tau] + 1.97e-9 * cos[0.58292199999 + 156.6767441354 * tau] + 1.94e-9 * cos[4.05730813129 + 426.8588233069 * tau] + 2.00e-9 * cos[0.90438804926 + 47.061123747 * tau] + 1.98e-9 * cos[0.91019549387 + 1310.3933701397 * tau] + 2.50e-9 * cos[0.32142312427 + 25448.00585526019 * tau] + 2.03e-9 * cos[5.48660442144 + 557.0389328994 * tau] + 2.50e-9 * cos[5.44391862722 + 1254.5217783625 * tau] + 2.01e-9 * cos[2.67485193508 + 1546.5346256309 * tau] + 2.36e-9 * cos[4.13547185065 + 348.635198571 * tau] + 2.01e-9 * cos[1.11891338895 + 97.4155158163 * tau] + 2.72e-9 * cos[6.27135287672 + 990.2294059144 * tau] + 2.58e-9 * cos[1.50724315598 + 1759.8337210689 * tau] + 2.05e-9 * cos[1.94472028389 + 650.1922270525 * tau] + 2.64e-9 * cos[2.58516335032 + 2527.2028039897 * tau] + 2.15e-9 * cos[2.24139383226 + 661.2379273164 * tau] + 2.71e-9 * cos[3.98364990268 + 453.6855262499 * tau] + 2.68e-9 * cos[3.43326489941 + 598.8434893694 * tau] + 2.15e-9 * cos[0.74685271552 + 1008.9793540101 * tau] + 2.74e-9 * cos[0.63572336701 + 679.2541622292 * tau] + 2.22e-9 * cos[4.51639912193 + 304.1223291153 * tau] + 2.08e-9 * cos[4.61303945066 + 668.2084619653 * tau] + 2.63e-9 * cos[0.58255768951 + 386.9806825299 * tau] + 2.83e-9 * cos[0.35013012349 + 1269.4996318895 * tau] + 2.23e-9 * cos[0.36862624591 + 81.8951455681 * tau] + 2.15e-9 * cos[3.55148746518 + 1097.0942747017 * tau] + 2.66e-9 * cos[2.30028827109 + 314.9073969483 * tau] + 2.12e-9 * cos[2.45582771491 + 1164.7623262682 * tau] + 2.47e-9 * cos[4.17284927352 + 950.1388168163 * tau] + 2.79e-9 * cos[2.65446123759 + 134.1122628556 * tau] + 2.76e-9 * cos[1.09325899753 + 544.5087599272 * tau] + 2.48e-9 * cos[5.48523310249 + 638.9340784675 * tau] + 2.95e-9 * cos[3.18346450625 + 1050.9963588012 * tau] + 2.17e-9 * cos[4.93010394323 + 281.1795953256 * tau] + 2.92e-9 * cos[3.12099513976 + 47.6942631934 * tau] + 2.20e-9 * cos[0.94624116595 + 316.5037442412 * tau] + 2.63e-9 * cos[1.85502475341 + 608.877797677 * tau] + 2.99e-9 * cos[3.71741328977 + 1123.1178284926 * tau] + 2.86e-9 * cos[6.10513234736 + 484.7050148869 * tau] + 2.26e-9 * cos[1.60308230318 + 316.279995072 * tau] + 2.49e-9 * cos[1.97767956861 + 589.4947101349 * tau] + 2.36e-9 * cos[4.10002766188 + 6467.9257579616 * tau] + 2.58e-9 * cos[2.41510535278 + 550.1378342197 * tau] + 2.28e-9 * cos[4.89094697746 + 1181.4371008246 * tau] + 3.17e-9 * cos[4.74907646809 + 420.005908737 * tau] + 2.34e-9 * cos[1.63365119249 + 3590.516887442 * tau] + 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cos[5.08547245125 + 3480.3105662226 * tau] + 1.529e-8 * cos[5.58893570479 + 212.0270710508 * tau] + 1.528e-8 * cos[1.00328674046 + 3053.7123753466 * tau] + 1.501e-8 * cos[4.18415120927 + 194.1766403268 * tau] + 1.843e-8 * cos[0.02435960281 + 102.1295663721 * tau] + 1.556e-8 * cos[1.12431826916 + 230.8252032563 * tau] + 1.765e-8 * cos[5.14740716994 + 107.2855599126 * tau] + 1.926e-8 * cos[4.66519027283 + 353.301065017 * tau] + 1.896e-8 * cos[3.38169845451 + 2324.9494088156 * tau] + 1.543e-8 * cos[0.81384993001 + 2310.722314814 * tau] + 1.695e-8 * cos[3.53314158403 + 627.3671133418 * tau] + 1.737e-8 * cos[1.49651330833 + 25.8634950965 * tau] + 1.799e-8 * cos[5.01592570405 + 731.9443602687 * tau] + 2.081e-8 * cos[6.03810192844 + 916.9322800554 * tau] + 1.569e-8 * cos[6.10089581118 + 106.0135355254 * tau] + 1.744e-8 * cos[1.83791106739 + 1044.4040766622 * tau] + 1.604e-8 * cos[2.48973273967 + 55.6591434561 * tau] + 1.706e-8 * cos[3.35213628354 + 103.0445901088 * tau] + 2.202e-8 * cos[3.88125957017 + 427.5613987225 * tau] + 2.116e-8 * cos[2.90186702031 + 486.4019359163 * tau] + 1.633e-8 * cos[0.16030477876 + 18.9100067901 * tau] + 1.767e-8 * cos[1.45800271562 + 16.6747745564 * tau] + 2.236e-8 * cos[3.01959133214 + 105.5404547734 * tau] + 2.035e-8 * cos[3.85188859267 + 672.1406152284 * tau] + 1.873e-8 * cos[2.26516020863 + 1781.0313497194 * tau] + 1.863e-8 * cos[4.68613642432 + 286.596221297 * tau] + 1.906e-8 * cos[5.30639447218 + 405.9912630565 * tau] + 2.307e-8 * cos[3.29544714308 + 569.0478410098 * tau] + 1.710e-8 * cos[0.6351540758 + 181.0557665236 * tau] + 1.715e-8 * cos[0.26601715797 + 103.1409583284 * tau] + 1.730e-8 * cos[2.21039276178 + 416.3032501375 * tau] + 2.146e-8 * cos[4.41415180481 + 184.0941479094 * tau] + 1.838e-8 * cos[0.06310147657 + 436.1594184316 * tau] + 1.750e-8 * cos[0.82378244287 + 220.4608265486 * tau] + 1.910e-8 * cos[3.72504487558 + 104.0559820651 * tau] + 1.767e-8 * cos[3.84003619647 + 213.1390367436 * tau] + 1.767e-8 * cos[0.94232357739 + 213.4591541324 * tau] + 1.866e-8 * cos[3.90535444843 + 220.364458329 * tau] + 2.213e-8 * cos[3.42223891884 + 533.6231183577 * tau] + 1.807e-8 * cos[6.1542731617 + 5.8415226136 * tau] + 2.127e-8 * cos[0.4475492931 + 216.0074084237 * tau] + 2.269e-8 * cos[3.36100653157 + 696.5196376166 * tau] + 1.867e-8 * cos[5.70943358261 + 19.1224551112 * tau] + 2.221e-8 * cos[4.34506511014 + 556.5176680376 * tau] + 2.304e-8 * cos[0.11816226543 + 3060.8259223474 * tau] + 1.871e-8 * cos[2.14579836453 + 135.336103133 * tau] + 1.963e-8 * cos[5.63940648232 + 454.9093665273 * tau] + 1.883e-8 * cos[4.75777119721 + 115.6229471908 * tau] + 2.092e-8 * cos[4.33481587531 + 210.5907824523 * tau] + 2.409e-8 * cos[1.55291842382 + 112.6540017742 * tau] + 2.314e-8 * cos[2.92766120608 + 170.7608257851 * tau] + 2.378e-8 * cos[3.45446288811 + 241.8709035202 * tau] + 2.172e-8 * cos[1.41622302638 + 23.5758732361 * tau] + 2.063e-8 * cos[0.75916097286 + 472.1748419147 * tau] + 1.949e-8 * cos[3.13157993205 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cos[1.64147367403 + 565.1156877467 * tau] + 2.0871e-7 * cos[5.79126331864 + 2531.1349572528 * tau] + 1.9128e-7 * cos[5.77772013766 + 213.8203602998 * tau] + 2.2380e-7 * cos[5.92299908546 + 173.9422195228 * tau] + 1.8034e-7 * cos[6.11382719947 + 210.3783341312 * tau] + 2.1446e-7 * cos[0.72034565528 + 1258.4539316256 * tau] + 2.0638e-7 * cos[5.22128727027 + 6.592282139 * tau] + 2.2978e-7 * cos[3.20140795404 + 208.633228992 * tau] + 2.2878e-7 * cos[6.10452832642 + 177.8743727859 * tau] + 2.3307e-7 * cos[3.97357729211 + 483.2205421786 * tau] + 2.0157e-7 * cos[5.06708675157 + 617.8058857862 * tau] + 2.3735e-7 * cos[2.54365387567 + 76.2660712756 * tau] + 2.4397e-7 * cos[3.08740396398 + 145.6310438715 * tau] + 2.0659e-7 * cos[0.67091805084 + 2317.8358618148 * tau] + 2.0392e-7 * cos[2.8241390926 + 429.7795846137 * tau] + 2.5673e-7 * cos[4.36038885283 + 32.2433289144 * tau] + 2.6185e-7 * cos[5.41311252822 + 140.001969579 * tau] + 2.2562e-7 * cos[5.24009182383 + 212.7778305762 * tau] + 2.9376e-7 * cos[0.14742155778 + 131.4039498699 * tau] + 3.1025e-7 * cos[0.37190053329 + 703.6331846174 * tau] + 2.3153e-7 * cos[2.10054506119 + 1788.1448967202 * tau] + 3.1775e-7 * cos[5.59198119173 + 6069.7767545534 * tau] + 2.2974e-7 * cos[3.6581775177 + 207.6700211455 * tau] + 2.6976e-7 * cos[0.06705123981 + 205.2223405907 * tau] + 3.2017e-7 * cos[5.22260660455 + 92.0470739547 * tau] + 2.4277e-7 * cos[3.93966553574 + 414.0680179038 * tau] + 2.8050e-7 * cos[5.64447420566 + 128.9562693151 * tau] + 3.1745e-7 * cos[5.49798599565 + 56.6223513026 * tau] + 2.6657e-7 * cos[4.56713198392 + 7.065362891 * tau] + 2.7480e-7 * cos[6.22702216249 + 1.2720243872 * tau] + 3.0324e-7 * cos[5.30369950147 + 33.9402499438 * tau] + 3.2650e-7 * cos[0.66372395761 + 692.5874843535 * tau] + 3.4885e-7 * cos[4.46095761791 + 214.2623032845 * tau] + 3.7699e-7 * cos[4.51997049537 + 24.3790223882 * tau] + 2.7187e-7 * cos[1.89731951902 + 1045.1548361876 * tau] + 2.7679e-7 * cos[1.45663979401 + 7.1617311106 * tau] + 3.7769e-7 * cos[3.69666903716 + 1272.6810256272 * tau] + 3.2644e-7 * cos[0.81204701486 + 1795.258443721 * tau] + 3.0433e-7 * cos[0.72335287989 + 222.8603229936 * tau] + 3.2812e-7 * cos[0.53649479713 + 107.0249274817 * tau] + 2.9032e-7 * cos[1.19660544505 + 404.5067903482 * tau] + 3.6388e-7 * cos[6.00586032647 + 18.1592472647 * tau] + 3.0880e-7 * cos[6.13525703832 + 417.0369633204 * tau] + 3.1755e-7 * cos[1.69273634405 + 0.1600586944 * tau] + 3.4825e-7 * cos[1.01566605408 + 203.0041546995 * tau] + 4.3764e-7 * cos[3.93043802956 + 525.4981794006 * tau] + 4.3402e-7 * cos[1.37363944007 + 563.6312150384 * tau] + 3.7902e-7 * cos[1.19795851115 + 2.7083129857 * tau] + 4.4746e-7 * cos[1.12488341174 + 6.1503391543 * tau] + 3.8005e-7 * cos[0.31313803095 + 423.4167971383 * tau] + 3.6344e-7 * cos[3.93295730315 + 213.2509113282 * tau] + 3.5468e-7 * cos[4.18603772925 + 215.7467759928 * tau] + 3.6345e-7 * cos[0.84756992711 + 213.3472795478 * tau] + 3.9722e-7 * cos[1.63259419913 + 1066.49547719 * tau] + 4.2362e-7 * cos[1.90070070955 + 430.5303441391 * tau] + 4.7016e-7 * cos[4.59934671151 + 437.6438911399 * tau] + 5.4165e-7 * cos[0.78154835399 + 191.9584544356 * tau] + 4.5860e-7 * cos[0.54229721801 + 212.3358875915 * tau] + 5.0145e-7 * cos[6.03164759907 + 2214.7430875962 * tau] + 3.9915e-7 * cos[5.713786529 + 408.4389436113 * tau] + 4.2544e-7 * cos[3.81793980322 + 330.6189636582 * tau] + 4.3452e-7 * cos[2.52602011714 + 288.0806940053 * tau] + 6.0556e-7 * cos[2.68715551585 + 388.4651552382 * tau] + 4.5126e-7 * cos[0.93109376473 + 2001.4439921582 * tau] + 6.1080e-7 * cos[1.50295092063 + 210.8514148832 * tau] + 4.7199e-7 * cos[2.02515248245 + 312.1990839626 * tau] + 4.9288e-7 * cos[2.38641424063 + 1471.7530270636 * tau] + 5.5170e-7 * cos[0.9679744615 + 942.062061969 * tau] + 5.0514e-7 * cos[4.26749346978 + 99.1606209555 * tau] + 5.4492e-7 * cos[2.45674090515 + 22.0914005278 * tau] + 5.3011e-7 * cos[3.18480701697 + 8.0767548473 * tau] + 5.2939e-7 * cos[5.51392725227 + 0.2606324309 * tau] + 6.3664e-7 * cos[3.31749528708 + 62.2514255951 * tau] + 7.9021e-7 * cos[4.45154941586 + 35.4247226521 * tau] + 6.9313e-7 * cos[3.43979731402 + 515.463871093 * tau] + 6.2539e-7 * cos[2.58713611532 + 422.6660376129 * tau] + 6.3153e-7 * cos[3.49493353034 + 479.2883889155 * tau] + 7.5765e-7 * cos[1.61410487792 + 284.1485407422 * tau] + 6.5682e-7 * cos[2.02165559602 + 142.4496501338 * tau] + 6.6501e-7 * cos[0.02677580336 + 70.8494453042 * tau] + 6.8090e-7 * cos[0.7341546099 + 1478.8665740644 * tau] + 8.8772e-7 * cos[3.86334563977 + 278.5194664497 * tau] + 6.9760e-7 * cos[3.71029022489 + 14.977853527 * tau] + 7.0409e-7 * cos[4.86846451411 + 0.2124483211 * tau] + 7.1633e-7 * cos[5.1094074343 + 65.2203710117 * tau] + 7.3888e-7 * cos[5.08914205084 + 1375.7737998458 * tau] + 8.2363e-7 * cos[3.05469876064 + 440.8252848776 * tau] + 9.6330e-7 * cos[2.8331918921 + 275.5505210331 * tau] + 7.5491e-7 * cos[2.18045274099 + 728.762966531 * tau] + 0.00000100631 * cos[4.96513666539 + 269.9214467406 * tau] + 9.6987e-7 * cos[4.53666595763 + 302.164775655 * tau] + 8.3461e-7 * cos[2.28972767279 + 628.8515860501 * tau] + 8.3791e-7 * cos[5.48810655641 + 0.1118745846 * tau] + 9.1430e-7 * cos[1.8752157751 + 38.1330356378 * tau] + 0.0000010657 * cos[4.01156608514 + 956.2891559706 * tau] + 0.00000112437 * cos[1.10502663534 + 191.2076949102 * tau] + 0.00000103956 * cos[2.19210363069 + 88.865680217 * tau] + 8.9949e-7 * cos[5.80392934702 + 114.1384744825 * tau] + 0.00000124969 * cos[6.27737805832 + 1898.3512179396 * tau] + 0.00000110399 * cos[0.1660402409 + 1.4844727083 * tau] + 0.00000109275 * cos[3.43812715686 + 536.8045120954 * tau] + 0.00000118156 * cos[5.340729339 + 554.0699874828 * tau] + 0.00000102702 * cos[1.19748124058 + 1685.0521225016 * tau] + 0.00000113747 * cos[5.59427544714 + 1059.3819301892 * tau] + 0.00000122373 * cos[1.97588777199 + 4.665866446 * tau] + 0.00000149299 * cos[5.73594349789 + 52.6901980395 * tau] + 0.00000117283 * cos[2.67920400584 + 1155.361157407 * tau] + 0.00000131283 * cos[4.06828961903 + 10.2949407385 * tau] + 0.00000139666 * cos[4.29450260069 + 21.3406410024 * tau] + 0.00000147526 * cos[1.53529320509 + 5.6290742925 * tau] + 0.00000164541 * cos[0.4400551752 + 5.4166259714 * tau] + 0.00000146068 * cos[6.23102544071 + 195.1398481733 * tau] + 0.00000183511 * cos[0.97254952728 + 4.192785694 * tau] + 0.0000018469 * cos[3.50344404958 + 149.5631971346 * tau] + 0.00000173914 * cos[1.86305806814 + 0.7507595254 * tau] + 0.00000207659 * cos[1.283022189 + 39.3568759152 * tau] + 0.00000226609 * cos[4.91003163138 + 12.5301729722 * tau] + 0.00000182454 * cos[5.49122292426 + 2.9207613068 * tau] + 0.00000208655 * cos[1.34516255304 + 625.6701923124 * tau] + 0.00000207663 * cos[0.48349820488 + 1162.4747044078 * tau] + 0.000002045 * cos[6.010822066 + 265.9892934775 * tau] + 0.00000277775 * cos[0.40020408926 + 211.8146227297 * tau] + 0.00000220225 * cos[4.20422424873 + 200.7689224658 * tau] + 0.00000286688 * cos[2.37043745859 + 351.8165923087 * tau] + 0.00000249116 * cos[1.47010534421 + 1368.660252845 * tau] + 0.00000330196 * cos[0.24715617844 + 1581.959348283 * tau] + 0.00000321543 * cos[2.57182354537 + 647.0108333148 * tau] + 0.00000372308 * cos[2.27819108625 + 217.2312487011 * tau] + 0.00000322185 * cos[0.96137456104 + 203.7378678824 * tau] + 0.00000309001 * cos[3.49486734909 + 216.4804891757 * tau] + 0.00000343475 * cos[0.24604039134 + 0.5212648618 * tau] + 0.00000347413 * cos[1.53928227764 + 340.7708920448 * tau] + 0.00000451827 * cos[1.04436664241 + 490.3340891794 * tau] + 0.00000354944 * cos[3.0128648303 + 838.9692877504 * tau] + 0.00000478054 * cos[2.96488054338 + 137.0330241624 * tau] + 0.00000546358 * cos[2.12678554211 + 350.3321196004 * tau] + 0.00000448542 * cos[1.28990416161 + 127.4717966068 * tau] + 0.00000474279 * cos[5.47527185987 + 742.9900605326 * tau] + 0.00000542643 * cos[1.51824320514 + 9.5612275556 * tau] + 0.00000529861 * cos[4.44938897119 + 117.3198682202 * tau] + 0.00000624904 * cos[0.97046831256 + 210.1177017003 * tau] + 0.00000579857 * cos[3.09259007048 + 74.7815985673 * tau] + 0.00000852677 * cos[3.42141350697 + 175.1660598002 * tau] + 0.00000743584 * cos[5.25276954625 + 224.3447957019 * tau] + 0.0000063398 * cos[2.29889903023 + 412.3710968744 * tau] + 0.00000748811 * cos[2.14398149298 + 853.196381752 * tau] + 0.0000065447 * cos[1.59889331515 + 0.0481841098 * tau] + 0.00000686965 * cos[1.74714407827 + 1052.2683831884 * tau] + 0.00000789205 * cos[5.00745123149 + 0.9632078465 * tau] + 0.00000956752 * cos[0.50740889886 + 1265.5674786264 * tau] + 0.00001087237 * cos[4.18343232481 + 2.4476805548 * tau] + 0.00000848643 * cos[3.19149825839 + 209.3669421749 * tau] + 0.00001017258 * cos[3.71698151814 + 227.5261894396 * tau] + 0.00001123515 * cos[2.83726793572 + 415.5524906121 * tau] + 0.00001580641 * cos[4.3726631412 + 309.2783226558 * tau] + 0.00001391336 * cos[4.02331978116 + 323.5054166574 * tau] + 0.00001640183 * cos[5.50504966218 + 846.0828347512 * tau] + 0.00001758143 * cos[3.26580514774 + 522.5774180938 * tau] + 0.0000326949 * cos[0.77491895787 + 949.1756089698 * tau] + 0.00002461172 * cos[2.03163631205 + 735.8765135318 * tau] + 0.00003873696 * cos[3.22282692566 + 138.5174968707 * tau] + 0.00002953815 * cos[0.98280385206 + 95.9792272178 * tau] + 0.00004005862 * cos[2.24479893937 + 63.7358983034 * tau] + 0.00004592541 * cos[0.61976424374 + 199.0720014364 * tau] + 0.00005019658 * cos[3.17787919533 + 433.7117378768 * tau] + 0.00006126308 * cos[1.76328499656 + 277.0349937414 * tau] + 0.00005227771 * cos[4.2078316238 + 3.1813937377 * tau] + 0.00005863207 * cos[0.23657028777 + 529.6909650946 * tau] + 0.00010725066 * cos[3.12939596466 + 202.2533951741 * tau] + 0.00013005305 * cos[5.98119067061 + 11.0457002639 * tau] + 0.00015053509 * cos[2.71670027883 + 639.897286314 * tau] + 0.00013160308 * cos[4.44891180176 + 14.2270940016 * tau] + 0.00014609562 * cos[1.56518573691 + 3.9321532631 * tau] + 0.000158203 * cos[0.9380895376 + 632.7837393132 * tau] + 0.00014906995 * cos[5.76903283845 + 316.3918696566 * tau] + 0.00016573583 * cos[0.43719123541 + 419.4846438752 * tau] + 0.00023990338 * cos[4.6697693486 + 110.2063212194 * tau] + 0.00079271288 * cos[3.8400707853 + 220.4126424388 * tau] + 0.00206816296 * cos[0.24658366938 + 103.0927742186 * tau] + 0.00350769223 * cos[3.30329903015 + 426.598190876 * tau] + 0.00398379386 * cos[0.52112025957 + 206.1855484372 * tau] + 0.01414150958 * cos[4.58581515873 + 7.1135470008 * tau] + 0.1110765978 * cos[3.96205090194 + 213.299095438 * tau] + 0.87401354029 * cos[0.0 + 0.0 * tau]; L1 = 7.9e-10 * cos[3.53267171729 + 969.6224780949 * tau] + 7.8e-10 * cos[5.5981938746 + 364.3467652809 * tau] + 8.7e-10 * cos[3.1247719509 + 857.1285350151 * tau] + 7.6e-10 * cos[1.66929798365 + 196.0336200506 * tau] + 9.9e-10 * cos[4.6889585175 + 448.6895914038 * tau] + 7.5e-10 * cos[4.58892231446 + 394.3548619616 * tau] + 8.1e-10 * cos[1.12279793521 + 420.4478517217 * tau] + 9.8e-10 * cos[1.59923557478 + 484.7050148869 * tau] + 9.9e-10 * cos[2.68841109007 + 219.891377577 * tau] + 1.05e-9 * cos[0.58624363205 + 481.7360694703 * tau] + 9.5e-10 * cos[1.19504849611 + 460.5384408198 * tau] + 8.0e-10 * cos[2.69565238975 + 540.7366653585 * tau] + 8.9e-10 * cos[5.3599093223 + 214.1928673153 * tau] + 8.0e-10 * cos[0.86872596168 + 233.9060232575 * tau] + 1.03e-9 * cos[1.70625660572 + 213.1390367436 * tau] + 9.7e-10 * cos[5.95268532215 + 1044.4040766622 * tau] + 1.03e-9 * cos[5.09172929383 + 213.4591541324 * tau] + 9.0e-10 * cos[0.59788492023 + 227.3137411185 * tau] + 1.06e-9 * cos[3.7358621165 + 220.9339073006 * tau] + 1.15e-9 * cos[3.37508073115 + 313.9441891018 * tau] + 1.19e-9 * cos[2.33636675091 + 318.8395502114 * tau] + 9.6e-10 * cos[4.46689094543 + 401.3253966105 * tau] + 9.7e-10 * cos[1.13534710734 + 387.2413149608 * tau] + 9.5e-10 * cos[4.10658529323 + 10213.285546211 * tau] + 1.02e-9 * cos[3.95315219638 + 361.3778198643 * tau] + 1.06e-9 * cos[0.5562366257 + 114.3991069134 * tau] + 1.24e-9 * cos[1.8711081514 + 850.0149880143 * tau] + 1.05e-9 * cos[2.31570619675 + 200.5564741447 * tau] + 1.18e-9 * cos[0.6344825351 + 369.9758395734 * tau] + 1.42e-9 * cos[6.24626256472 + 299.1263942692 * tau] + 1.08e-9 * cos[5.36873170289 + 3377.217792004 * tau] + 1.19e-9 * cos[1.04688666457 + 462.0229135281 * tau] + 1.23e-9 * cos[4.59695145319 + 216.0074084237 * tau] + 1.28e-9 * cos[2.13986068877 + 2751.5475996916 * tau] + 1.13e-9 * cos[0.68933513038 + 450.9772132642 * tau] + 1.32e-9 * cos[1.76335093671 + 432.0148168474 * tau] + 1.14e-9 * cos[5.46519773276 + 552.5855147745 * tau] + 1.43e-9 * cos[0.67951827513 + 425.8474313506 * tau] + 1.32e-9 * cos[3.44682160054 + 156.6767441354 * tau] + 1.29e-9 * cos[4.92592016162 + 1286.9081196288 * tau] + 1.20e-9 * cos[4.62897224203 + 203.2647871304 * tau] + 1.19e-9 * cos[3.12572799769 + 238.5718897035 * tau] + 1.60e-9 * cos[1.85888551524 + 201.5196819912 * tau] + 1.23e-9 * cos[2.20103444636 + 210.5907824523 * tau] + 1.58e-9 * cos[4.64622526567 + 427.3489504014 * tau] + 1.58e-9 * cos[2.67557086253 + 2531.1349572528 * tau] + 1.55e-9 * cos[5.3231361873 + 2015.6710861598 * tau] + 1.33e-9 * cos[4.74095454922 + 0.0481841098 * tau] + 1.71e-9 * cos[4.16825100469 + 213.0384630071 * tau] + 1.74e-9 * cos[3.98677435872 + 1049.0869894507 * tau] + 1.58e-9 * cos[1.79872341304 + 326.6868103951 * tau] + 1.53e-9 * cos[3.29559426243 + 391.1734682239 * tau] + 1.39e-9 * cos[1.39047667205 + 1261.6353253633 * tau] + 1.40e-9 * cos[0.70476909062 + 640.8604941605 * tau] + 1.42e-9 * cos[3.53823120158 + 212.0270710508 * tau] + 1.47e-9 * cos[5.74795037748 + 856.3777754897 * tau] + 1.47e-9 * cos[4.48377791879 + 81.8951455681 * tau] + 1.49e-9 * cos[3.60682821788 + 205.6642835754 * tau] + 1.44e-9 * cos[4.82956915076 + 453.424893819 * tau] + 1.98e-9 * cos[1.15631374887 + 2957.7331481288 * tau] + 1.86e-9 * cos[1.37307151419 + 292.0128472684 * tau] + 1.60e-9 * cos[2.62483919699 + 353.301065017 * tau] + 1.46e-9 * cos[1.97663966745 + 9360.089164459 * tau] + 1.55e-9 * cos[0.92480392431 + 282.6640680339 * tau] + 1.67e-9 * cos[1.86485857353 + 393.4610900843 * tau] + 2.01e-9 * cos[4.38095931887 + 418.0001711669 * tau] + 1.75e-9 * cos[0.20216461467 + 384.0599212231 * tau] + 1.54e-9 * cos[1.66553954375 + 115.6229471908 * tau] + 1.67e-9 * cos[2.68872854428 + 423.6774295692 * tau] + 2.15e-9 * cos[1.88276472005 + 220.364458329 * tau] + 1.56e-9 * cos[2.81916058733 + 428.0826635843 * tau] + 1.95e-9 * cos[4.83926717598 + 1596.1864422846 * tau] + 1.67e-9 * cos[3.71345214172 + 1056.2005364515 * tau] + 1.92e-9 * cos[0.26639534884 + 295.1942410061 * tau] + 1.61e-9 * cos[2.88623631474 + 184.8449074348 * tau] + 1.60e-9 * cos[0.55319954265 + 5429.8794682394 * tau] + 1.72e-9 * cos[1.94132177757 + 3259.8979237838 * tau] + 1.76e-9 * cos[6.12029409039 + 181.806526049 * tau] + 1.96e-9 * cos[2.70333585839 + 774.4826299216 * tau] + 1.89e-9 * cos[0.31221126958 + 420.9691165835 * tau] + 1.65e-9 * cos[2.26267552932 + 406.954470903 * tau] + 1.66e-9 * cos[5.01778115937 + 354.9979860464 * tau] + 1.95e-9 * cos[0.92088046109 + 551.031606097 * tau] + 2.21e-9 * cos[4.49141283681 + 913.0001267923 * tau] + 1.84e-9 * cos[5.19723697138 + 835.7878940127 * tau] + 1.71e-9 * cos[5.0250074269 + 93.531546663 * tau] + 1.75e-9 * cos[0.04701598422 + 107.7586406646 * tau] + 2.22e-9 * cos[2.23360866067 + 2435.155730035 * tau] + 2.00e-9 * cos[1.17340443616 + 4952.0635932862 * tau] + 2.21e-9 * cos[2.25887876254 + 355.7487455718 * tau] + 1.84e-9 * cos[4.66807336402 + 1251.3403846248 * tau] + 2.42e-9 * cos[4.69869158516 + 1141.1340634054 * tau] + 1.81e-9 * cos[2.83211558346 + 1262.3860848887 * tau] + 1.81e-9 * cos[3.61567262848 + 9786.687355335 * tau] + 2.01e-9 * cos[4.23447633663 + 1493.093668066 * tau] + 1.94e-9 * cos[3.29560033731 + 1670.8250285 * tau] + 2.01e-9 * cos[2.71380671608 + 586.3133163972 * tau] + 2.28e-9 * cos[2.15266015145 + 55.1378785943 * tau] + 1.94e-9 * cos[2.37167703302 + 3370.1042450032 * tau] + 2.10e-9 * cos[1.47873602747 + 205.4347889118 * tau] + 1.92e-9 * cos[6.15674105214 + 611.4430983108 * tau] + 1.99e-9 * cos[3.91291687807 + 418.5214360287 * tau] + 1.87e-9 * cos[0.8553719223 + 273.8536000037 * tau] + 1.92e-9 * cos[5.26739976413 + 504.561183181 * tau] + 2.27e-9 * cos[1.31845358943 + 230.7075831773 * tau] + 2.66e-9 * cos[0.69665031373 + 2854.6403739102 * tau] + 1.93e-9 * cos[4.24606721746 + 141.6988906084 * tau] + 1.97e-9 * cos[4.61055255182 + 464.7312265138 * tau] + 2.28e-9 * cos[5.66209641464 + 1699.2792165032 * tau] + 2.02e-9 * cos[3.57670882297 + 334.5511169213 * tau] + 2.09e-9 * cos[1.46554109301 + 952.3570027075 * tau] + 2.10e-9 * cos[1.91489853604 + 938.1299087059 * tau] + 2.04e-9 * cos[3.0857941046 + 67.6680515665 * tau] + 2.06e-9 * cos[5.35971491902 + 3060.8259223474 * tau] + 2.16e-9 * cos[1.25531205533 + 477.8039162072 * tau] + 2.12e-9 * cos[2.07343849515 + 1357.6145525811 * tau] + 2.14e-9 * cos[2.80190604605 + 373.9079928365 * tau] + 2.16e-9 * cos[0.1222123618 + 28.5718080822 * tau] + 2.09e-9 * cos[0.94525938634 + 864.2420820159 * tau] + 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8.3463e-7 * cos[3.11269504725 + 625.6701923124 * tau] + 8.6600e-7 * cos[1.21951325061 + 440.8252848776 * tau] + 9.7584e-7 * cos[4.72845436677 + 838.9692877504 * tau] + 9.2482e-7 * cos[3.94755499926 + 88.865680217 * tau] + 9.3909e-7 * cos[3.48397279899 + 1052.2683831884 * tau] + 0.00000108862 * cos[6.16141072262 + 415.5524906121 * tau] + 0.00000127838 * cos[4.09533471247 + 217.2312487011 * tau] + 0.00000131364 * cos[3.44108355646 + 742.9900605326 * tau] + 0.00000136328 * cos[2.28580246629 + 10.2949407385 * tau] + 0.00000167131 * cos[2.59745202658 + 21.3406410024 * tau] + 0.00000172891 * cos[4.07695221044 + 846.0828347512 * tau] + 0.00000191667 * cos[2.96512946582 + 224.3447957019 * tau] + 0.00000280911 * cos[5.74398845416 + 2.4476805548 * tau] + 0.00000230493 * cos[1.64428879621 + 216.4804891757 * tau] + 0.00000265801 * cos[0.54344631312 + 647.0108333148 * tau] + 0.00000289429 * cos[2.73263080235 + 117.3198682202 * tau] + 0.00000352489 * cos[2.31707079463 + 632.7837393132 * tau] + 0.00000331933 * cos[2.86077699882 + 210.1177017003 * tau] + 0.00000335936 * cos[3.77173072712 + 735.8765135318 * tau] + 0.00000339724 * cos[3.63396398752 + 316.3918696566 * tau] + 0.00000343826 * cos[3.95854178574 + 412.3710968744 * tau] + 0.0000040763 * cos[1.29949556676 + 209.3669421749 * tau] + 0.0000041701 * cos[2.11708169277 + 323.5054166574 * tau] + 0.00000478501 * cos[4.98776987984 + 522.5774180938 * tau] + 0.00000468377 * cos[4.61707843907 + 63.7358983034 * tau] + 0.00000486843 * cos[6.03998200305 + 853.196381752 * tau] + 0.00000627603 * cos[6.11088227167 + 309.2783226558 * tau] + 0.00000649654 * cos[6.17418093659 + 202.2533951741 * tau] + 0.00000705587 * cos[4.4168924933 + 529.6909650946 * tau] + 0.00000921683 * cos[1.9608983425 + 227.5261894396 * tau] + 0.00001249348 * cos[2.62803737519 + 95.9792272178 * tau] + 0.00001953036 * cos[3.563946833 + 11.0457002639 * tau] + 0.00003071382 * cos[2.3273931775 + 199.0720014364 * tau] + 0.000033022 * cos[1.26256486715 + 433.7117378768 * tau] + 0.00003384684 * cos[2.41694251653 + 3.1813937377 * tau] + 0.0000376863 * cos[3.6496563146 + 3.9321532631 * tau] + 0.00004056325 * cos[2.92166618776 + 110.2063212194 * tau] + 0.00004803325 * cos[2.44194097666 + 419.4846438752 * tau] + 0.00006939233 * cos[0.40493079985 + 639.897286314 * tau] + 0.00010511706 * cos[2.748803928 + 14.2270940016 * tau] + 0.00019941734 * cos[1.27954662736 + 103.0927742186 * tau] + 0.00040254586 * cos[2.0412825709 + 220.4126424388 * tau] + 0.0010767877 * cos[2.27769911872 + 206.1855484372 * tau] + 0.0009832303 * cos[1.08070061328 + 426.598190876 * tau] + 0.00564347566 * cos[2.88500136429 + 7.1135470008 * tau] + 0.01296855005 * cos[1.82820544701 + 213.299095438 * tau] + 213.54295595986 * cos[0.0 + 0.0 * tau]; L2 = 7.1e-10 * cos[3.64551577433 + 198.321241911 * tau] + 7.3e-10 * cos[4.85923277221 + 2118.7638603784 * tau] + 7.7e-10 * cos[1.89354243952 + 556.5176680376 * tau] + 8.0e-10 * cos[0.78975763683 + 204.7010757289 * tau] + 7.9e-10 * cos[3.18693585419 + 320.3240229197 * tau] + 7.9e-10 * cos[3.42790361067 + 417.0369633204 * tau] + 7.7e-10 * cos[2.96973341607 + 431.264057322 * tau] + 8.2e-10 * cos[4.16358350281 + 9793.8009023358 * tau] + 8.0e-10 * cos[2.13136842916 + 421.93232443 * tau] + 9.0e-10 * cos[2.08722491981 + 2111.6503133776 * tau] + 9.1e-10 * cos[1.2616009317 + 212.7778305762 * tau] + 8.3e-10 * cos[2.81499116485 + 776.9303104764 * tau] + 8.6e-10 * cos[2.7391730018 + 5863.5912061162 * tau] + 8.4e-10 * cos[3.34470673492 + 67.6680515665 * tau] + 8.2e-10 * cos[6.06283262812 + 210.3783341312 * tau] + 8.2e-10 * cos[3.73605217214 + 207.6700211455 * tau] + 1.12e-9 * cos[1.14387590923 + 1802.3719907218 * tau] + 9.1e-10 * cos[0.35318362186 + 312.4597163935 * tau] + 9.6e-10 * cos[3.98832609364 + 289.5651667136 * tau] + 8.8e-10 * cos[5.26121947108 + 395.578702239 * tau] + 9.1e-10 * cos[1.75367948574 + 213.8203602998 * tau] + 9.1e-10 * cos[2.50716605179 + 121.2520214833 * tau] + 1.12e-9 * cos[2.39181495831 + 217.491881132 * tau] + 1.14e-9 * cos[0.25990388555 + 398.1440028728 * tau] + 1.34e-9 * cos[3.58244908862 + 849.2642284889 * tau] + 1.06e-9 * cos[0.12820734703 + 188.0263011725 * tau] + 1.08e-9 * cos[3.95650672786 + 570.7447620392 * tau] + 1.17e-9 * cos[0.76464798684 + 479.2883889155 * tau] + 1.13e-9 * cos[2.79541965778 + 235.3904959658 * tau] + 1.46e-9 * cos[1.88627500632 + 211.8146227297 * tau] + 1.25e-9 * cos[2.07143636845 + 425.1137181677 * tau] + 1.62e-9 * cos[3.17058130506 + 213.3472795478 * tau] + 1.33e-9 * cos[0.06530337135 + 218.7157214094 * tau] + 1.41e-9 * cos[6.14293754333 + 1795.258443721 * tau] + 1.65e-9 * cos[6.06456216591 + 732.6951197941 * tau] + 1.33e-9 * cos[2.31915371262 + 156.6767441354 * tau] + 1.62e-9 * cos[0.8861012919 + 216.2198567448 * tau] + 1.49e-9 * cos[4.81749019484 + 945.9942152321 * tau] + 1.62e-9 * cos[6.25601818345 + 213.2509113282 * tau] + 1.49e-9 * cos[3.13274908516 + 9573.388259897 * tau] + 1.74e-9 * cos[6.23077892653 + 3384.3313390048 * tau] + 1.69e-9 * cos[4.28090123029 + 305.3461693927 * tau] + 1.50e-9 * cos[0.63076983213 + 1478.8665740644 * tau] + 1.53e-9 * cos[1.23776248578 + 2413.8150890326 * tau] + 1.56e-9 * cos[4.16290662749 + 572.2292347475 * tau] + 1.95e-9 * cos[4.50165508529 + 2214.7430875962 * tau] + 1.73e-9 * cos[5.19933564968 + 1354.4331588434 * tau] + 1.70e-9 * cos[5.98716489326 + 643.8294395771 * tau] + 1.70e-9 * cos[2.30821101766 + 429.0458714308 * tau] + 1.72e-9 * cos[1.65385549578 + 916.9322800554 * tau] + 1.80e-9 * cos[4.96266204107 + 1670.8250285 * tau] + 1.62e-9 * cos[1.1568304295 + 519.3960243561 * tau] + 1.70e-9 * cos[1.05408992106 + 526.5095713569 * tau] + 1.72e-9 * cos[3.4697130692 + 501.3797894433 * tau] + 1.71e-9 * cos[4.32615182967 + 291.262087743 * tau] + 1.70e-9 * cos[2.75006619605 + 710.7467316182 * tau] + 1.78e-9 * cos[0.84588580004 + 128.3655684841 * tau] + 2.14e-9 * cos[4.64286758581 + 2317.8358618148 * tau] + 2.10e-9 * cos[5.04017633795 + 2420.9286360334 * tau] + 2.13e-9 * cos[0.50441377637 + 934.9485149682 * tau] + 2.18e-9 * cos[5.79277335862 + 2221.856634597 * tau] + 2.12e-9 * cos[4.52370676085 + 2310.722314814 * tau] + 2.04e-9 * cos[3.38137545713 + 699.7010313543 * tau] + 2.03e-9 * cos[0.13969067385 + 1485.9801210652 * tau] + 2.03e-9 * cos[4.13011580915 + 2627.1141844706 * tau] + 2.36e-9 * cos[0.0799874286 + 1141.1340634054 * tau] + 2.08e-9 * cos[3.08549771485 + 41.6444977756 * tau] + 1.92e-9 * cos[5.13697232918 + 329.7251917809 * tau] + 2.24e-9 * cos[4.34612745705 + 1382.8873468466 * tau] + 2.01e-9 * cos[3.36504567824 + 1080.7225711916 * tau] + 2.05e-9 * cos[2.93169866171 + 1596.1864422846 * tau] + 2.04e-9 * cos[0.88373842674 + 31.492569389 * tau] + 2.34e-9 * cos[1.65314711167 + 554.0699874828 * tau] + 2.12e-9 * cos[5.85248164087 + 546.956440482 * tau] + 2.20e-9 * cos[3.93526603081 + 319.5732633943 * tau] + 2.49e-9 * cos[3.14202895058 + 144.1465711632 * tau] + 2.27e-9 * cos[4.87285356383 + 661.2379273164 * tau] + 2.73e-9 * cos[0.66599369335 + 2008.557539159 * tau] + 3.37e-9 * cos[4.97764462199 + 175.1660598002 * tau] + 2.53e-9 * cos[1.80130756458 + 5643.1785636774 * tau] + 3.06e-9 * cos[0.36127922606 + 824.7421937488 * tau] + 2.47e-9 * cos[2.92754257675 + 219.4494345923 * tau] + 3.33e-9 * cos[2.04835822938 + 561.1835344836 * tau] + 2.55e-9 * cos[3.93981592051 + 181.0557665236 * tau] + 2.77e-9 * cos[3.0875091688 + 621.7380390493 * tau] + 2.78e-9 * cos[3.08964256591 + 778.4147831847 * tau] + 2.62e-9 * cos[0.91887592474 + 245.5424243524 * tau] + 2.66e-9 * cos[4.1371611132 + 601.7642506762 * tau] + 2.92e-9 * cos[3.97858181479 + 472.1748419147 * tau] + 3.30e-9 * cos[5.7977692276 + 650.9429865779 * tau] + 2.81e-9 * cos[2.66463042095 + 1286.9081196288 * tau] + 2.87e-9 * cos[0.97698377929 + 685.4739373527 * tau] + 2.95e-9 * cos[1.816388339 + 1493.093668066 * tau] + 3.15e-9 * cos[4.96371610197 + 757.2171545342 * tau] + 2.77e-9 * cos[5.73995694175 + 92.7978334801 * tau] + 3.89e-9 * cos[5.76841276132 + 39.3568759152 * tau] + 3.26e-9 * cos[3.67854047003 + 963.4027029714 * tau] + 2.96e-9 * cos[1.97705648834 + 9779.5738083342 * tau] + 2.95e-9 * cos[1.93253015677 + 436.1594184316 * tau] + 3.11e-9 * cos[3.5374455623 + 251.4321310758 * tau] + 3.10e-9 * cos[1.41032075652 + 273.1028404783 * tau] + 3.16e-9 * cos[0.54074780109 + 444.7574381407 * tau] + 3.37e-9 * cos[0.68198429948 + 45.5766510387 * tau] + 4.28e-9 * cos[4.63722058283 + 1898.3512179396 * tau] + 3.15e-9 * cos[0.52272202855 + 5849.3641121146 * tau] + 3.18e-9 * cos[5.22020784209 + 142.4496501338 * tau] + 3.11e-9 * cos[3.77477255556 + 1891.2376709388 * tau] + 3.55e-9 * cos[2.80560859177 + 344.7030453079 * tau] + 3.21e-9 * cos[2.1718603297 + 10213.285546211 * tau] + 3.23e-9 * cos[3.86700993914 + 576.1613880106 * tau] + 3.22e-9 * cos[0.80223983857 + 6283.0758499914 * tau] + 4.19e-9 * cos[5.26851686707 + 85.8272988312 * tau] + 3.41e-9 * cos[5.92928351979 + 26.826702943 * tau] + 3.61e-9 * cos[5.20616019966 + 629.6023455755 * tau] + 4.41e-9 * cos[5.68196668399 + 1781.0313497194 * tau] + 3.79e-9 * cos[5.56429091578 + 131.5469622218 * tau] + 3.70e-9 * cos[5.46144813372 + 1038.0412891868 * tau] + 4.22e-9 * cos[2.67975581832 + 77.962992305 * tau] + 4.28e-9 * cos[5.35375368944 + 2104.5367663768 * tau] + 3.56e-9 * cos[3.10092792842 + 842.1506814881 * tau] + 4.20e-9 * cos[5.69797398044 + 225.8292684102 * tau] + 3.79e-9 * cos[0.92901327825 + 767.3690829208 * tau] + 4.71e-9 * cos[0.67360047481 + 207.8824694666 * tau] + 3.68e-9 * cos[0.35674031808 + 214.2623032845 * tau] + 4.67e-9 * cos[0.54876489832 + 404.5067903482 * tau] + 3.85e-9 * cos[0.91582119643 + 160.6088973985 * tau] + 4.01e-9 * cos[4.60258908692 + 1994.3304451574 * tau] + 3.93e-9 * cos[6.26835522096 + 241.7532834412 * tau] + 3.86e-9 * cos[5.00762729432 + 388.4651552382 * tau] + 3.95e-9 * cos[2.86309689622 + 212.3358875915 * tau] + 3.95e-9 * cos[3.50478374207 + 129.9194771616 * tau] + 4.04e-9 * cos[0.91401255827 + 114.1384744825 * tau] + 5.69e-9 * cos[3.68547825941 + 350.3321196004 * tau] + 4.07e-9 * cos[3.79376013938 + 24.3790223882 * tau] + 4.08e-9 * cos[3.06057772788 + 424.1505103212 * tau] + 4.10e-9 * cos[4.22147787617 + 867.4234757536 * tau] + 5.37e-9 * cos[2.59376221736 + 313.2104759189 * tau] + 4.24e-9 * cos[4.89778948357 + 636.7158925763 * tau] + 4.62e-9 * cos[0.71358186864 + 258.8757464767 * tau] + 4.56e-9 * cos[3.18303484133 + 218.9281697305 * tau] + 4.54e-9 * cos[2.48128029368 + 9786.687355335 * tau] + 5.40e-9 * cos[0.87230551412 + 1692.1656695024 * tau] + 4.75e-9 * cos[1.06025557585 + 5856.4776591154 * tau] + 5.11e-9 * cos[4.70719837179 + 2001.4439921582 * tau] + 4.77e-9 * cos[3.56642391994 + 563.6312150384 * tau] + 5.04e-9 * cos[3.80930996688 + 168.0525127994 * tau] + 6.03e-9 * cos[3.26888470585 + 208.633228992 * tau] + 5.41e-9 * cos[0.30589337713 + 98.8999885246 * tau] + 5.74e-9 * cos[5.98607898826 + 1905.4647649404 * tau] + 5.37e-9 * cos[6.170316576 + 182.279606801 * tau] + 6.26e-9 * cos[5.26580317026 + 436.8931316145 * tau] + 5.18e-9 * cos[5.41992758537 + 312.1990839626 * tau] + 5.24e-9 * cos[1.53830423608 + 195.8906076987 * tau] + 6.97e-9 * cos[0.00715950269 + 1169.5882514086 * tau] + 5.41e-9 * cos[1.22296838713 + 62.2514255951 * tau] + 5.81e-9 * cos[3.87669679805 + 565.1156877467 * tau] + 5.55e-9 * cos[4.95858934298 + 358.9301393095 * tau] + 7.40e-9 * cos[6.00053422445 + 337.732510659 * tau] + 6.38e-9 * cos[4.86195439622 + 357.4456666012 * tau] + 8.09e-9 * cos[5.94893988352 + 1464.6394800628 * tau] + 6.63e-9 * cos[5.74837848383 + 721.6494195302 * tau] + 6.41e-9 * cos[0.67588390141 + 46.470422916 * tau] + 7.86e-9 * cos[4.49318079175 + 643.0786800517 * tau] + 6.91e-9 * cos[0.21330089609 + 99.1606209555 * tau] + 6.75e-9 * cos[5.62875135263 + 17.2654753874 * tau] + 6.56e-9 * cos[3.77718582702 + 217.964961884 * tau] + 6.73e-9 * cos[3.75650667651 + 203.7378678824 * tau] + 6.86e-9 * cos[2.88543836068 + 92.0470739547 * tau] + 8.70e-9 * cos[0.77106152694 + 113.3877149571 * tau] + 7.07e-9 * cos[3.66631544506 + 347.8844390456 * tau] + 9.08e-9 * cos[5.01046293458 + 1581.959348283 * tau] + 7.65e-9 * cos[2.50840146722 + 343.2185725996 * tau] + 7.45e-9 * cos[4.84266000843 + 76.2660712756 * tau] + 7.34e-9 * cos[2.35356586018 + 120.358249606 * tau] + 7.73e-9 * cos[5.82270096882 + 416.3032501375 * tau] + 7.35e-9 * cos[2.28191723259 + 1162.4747044078 * tau] + 9.03e-9 * cos[5.58963782799 + 1788.1448967202 * tau] + 7.45e-9 * cos[3.97279299984 + 1574.8458012822 * tau] + 8.28e-9 * cos[2.21940849017 + 333.657345044 * tau] + 8.62e-9 * cos[4.79998518474 + 1677.9385755008 * tau] + 1.008e-8 * cos[4.91325851448 + 750.1036075334 * tau] + 1.082e-8 * cos[4.52832816548 + 635.9651330509 * tau] + 1.002e-8 * cos[1.38543153271 + 483.2205421786 * tau] + 9.09e-9 * cos[4.5176938536 + 38.1330356378 * tau] + 9.42e-9 * cos[2.4346522346 + 222.8603229936 * tau] + 1.033e-8 * cos[1.08781255146 + 184.8449074348 * tau] + 9.53e-9 * cos[4.20749172571 + 288.0806940053 * tau] + 9.45e-9 * cos[4.68155456977 + 362.8622925726 * tau] + 1.110e-8 * cos[1.19713920197 + 618.5566453116 * tau] + 9.56e-9 * cos[2.66256831556 + 134.5853436076 * tau] + 1.014e-8 * cos[2.40759054741 + 703.6331846174 * tau] + 1.159e-8 * cos[0.71823181781 + 508.3503240922 * tau] + 9.79e-9 * cos[1.58571463442 + 1375.7737998458 * tau] + 1.352e-8 * cos[2.27575429523 + 9999.986450773 * tau] + 1.010e-8 * cos[3.39689646619 + 1073.6090241908 * tau] + 1.120e-8 * cos[4.95656566453 + 1685.0521225016 * tau] + 1.420e-8 * cos[0.85079202155 + 6069.7767545534 * tau] + 1.217e-8 * cos[6.23528359211 + 1589.0728952838 * tau] + 1.122e-8 * cos[2.6057103027 + 1279.794572628 * tau] + 1.192e-8 * cos[3.52219428945 + 497.4476361802 * tau] + 1.205e-8 * cos[2.83373725021 + 200.7689224658 * tau] + 1.664e-8 * cos[6.23834873469 + 1148.2476104062 * tau] + 1.298e-8 * cos[5.84254169775 + 543.9180590962 * tau] + 1.355e-8 * cos[2.91219493604 + 215.7467759928 * tau] + 1.352e-8 * cos[0.71405348653 + 28.4541880032 * tau] + 1.560e-8 * cos[5.97095003614 + 430.5303441391 * tau] + 1.490e-8 * cos[0.4835240494 + 340.7708920448 * tau] + 1.609e-8 * cos[3.74893709671 + 628.8515860501 * tau] + 1.595e-8 * cos[5.61962698786 + 447.9388318784 * tau] + 2.133e-8 * cos[5.2340984872 + 1265.5674786264 * tau] + 1.956e-8 * cos[5.87006093798 + 1471.7530270636 * tau] + 1.707e-8 * cos[1.3586459328 + 231.4583427027 * tau] + 1.921e-8 * cos[4.51790997496 + 138.5174968707 * tau] + 1.760e-8 * cos[4.13532689228 + 107.0249274817 * tau] + 1.820e-8 * cos[5.05340615445 + 1361.5467058442 * tau] + 1.835e-8 * cos[4.15379879659 + 1258.4539316256 * tau] + 2.570e-8 * cos[5.12167203704 + 265.9892934775 * tau] + 2.089e-8 * cos[3.48276230686 + 10007.0999977738 * tau] + 2.090e-8 * cos[1.12304173562 + 9992.8729037722 * tau] + 2.288e-8 * cos[3.1400061932 + 22.0914005278 * tau] + 2.718e-8 * cos[3.37801252354 + 408.4389436113 * tau] + 2.183e-8 * cos[5.94985336393 + 145.6310438715 * tau] + 2.221e-8 * cos[2.05930402282 + 6076.8903015542 * tau] + 2.221e-8 * cos[5.98277491515 + 6062.6632075526 * tau] + 2.357e-8 * cos[5.83099000562 + 106.2741679563 * tau] + 2.289e-8 * cos[4.76825865118 + 351.8165923087 * tau] + 2.595e-8 * cos[3.59007068361 + 131.4039498699 * tau] + 2.461e-8 * cos[1.5852287676 + 32.2433289144 * tau] + 2.457e-8 * cos[3.89612890177 + 210.8514148832 * tau] + 2.623e-8 * cos[5.15237415384 + 1368.660252845 * tau] + 3.454e-8 * cos[4.77197610696 + 423.4167971383 * tau] + 2.672e-8 * cos[1.87612402267 + 295.0512286542 * tau] + 2.800e-8 * cos[0.32727938074 + 191.2076949102 * tau] + 2.895e-8 * cos[3.13473183482 + 70.8494453042 * tau] + 3.688e-8 * cos[0.15467406177 + 437.6438911399 * tau] + 4.063e-8 * cos[0.29084229143 + 831.8557407496 * tau] + 3.246e-8 * cos[1.56761884227 + 1059.3819301892 * tau] + 3.946e-8 * cos[0.36500928968 + 12.5301729722 * tau] + 3.579e-8 * cos[0.20402442077 + 1272.6810256272 * tau] + 3.407e-8 * cos[4.28514461015 + 99.9113804809 * tau] + 3.714e-8 * cos[0.40648076787 + 137.0330241624 * tau] + 4.602e-8 * cos[6.13908576681 + 1155.361157407 * tau] + 3.755e-8 * cos[4.93065184796 + 52.6901980395 * tau] + 3.923e-8 * cos[6.09732996823 + 81.7521332162 * tau] + 3.905e-8 * cos[3.30270187305 + 490.3340891794 * tau] + 4.887e-8 * cos[3.20022991216 + 277.0349937414 * tau] + 4.223e-8 * cos[2.89014939299 + 56.6223513026 * tau] + 4.098e-8 * cos[5.308512622 + 1045.1548361876 * tau] + 4.130e-8 * cos[4.68673560379 + 74.7815985673 * tau] + 5.453e-8 * cos[5.53868222772 + 949.1756089698 * tau] + 5.621e-8 * cos[0.29694719379 + 127.4717966068 * tau] + 4.509e-8 * cos[4.40688707557 + 942.062061969 * tau] + 4.727e-8 * cos[2.27461984667 + 18.1592472647 * tau] + 4.757e-8 * cos[4.92804854717 + 654.1243803156 * tau] + 5.676e-8 * cos[6.0223568215 + 223.5940361765 * tau] + 5.711e-8 * cos[0.01824076994 + 124.433415221 * tau] + 6.082e-8 * cos[5.93416924841 + 405.2575498736 * tau] + 5.779e-8 * cos[4.2938089111 + 415.5524906121 * tau] + 7.550e-8 * cos[4.03401153929 + 9.5612275556 * tau] + 5.935e-8 * cos[5.40967847103 + 149.5631971346 * tau] + 6.353e-8 * cos[4.46211130731 + 284.1485407422 * tau] + 7.730e-8 * cos[5.24602742309 + 429.7795846137 * tau] + 7.238e-8 * cos[5.39724715258 + 1052.2683831884 * tau] + 8.287e-8 * cos[2.13990364272 + 269.9214467406 * tau] + 1.0240e-7 * cos[4.9873665607 + 422.6660376129 * tau] + 9.490e-8 * cos[0.46379969328 + 956.2891559706 * tau] + 1.0072e-7 * cos[0.25709351996 + 330.6189636582 * tau] + 1.0601e-7 * cos[3.20327613035 + 1066.49547719 * tau] + 9.962e-8 * cos[4.15472049127 + 860.3099287528 * tau] + 1.1718e-7 * cos[3.12098483554 + 846.0828347512 * tau] + 1.1013e-7 * cos[5.60207982774 + 728.762966531 * tau] + 1.4068e-7 * cos[0.206752937 + 838.9692877504 * tau] + 1.1154e-7 * cos[5.9221684478 + 536.8045120954 * tau] + 1.6040e-7 * cos[0.57886320845 + 515.463871093 * tau] + 1.1940e-7 * cos[0.12620714199 + 234.6397364404 * tau] + 1.2236e-7 * cos[4.71789723976 + 203.0041546995 * tau] + 1.3744e-7 * cos[3.764971673 + 195.1398481733 * tau] + 1.7130e-7 * cos[1.62593421274 + 742.9900605326 * tau] + 1.7511e-7 * cos[4.90014736798 + 625.6701923124 * tau] + 2.0108e-7 * cos[5.94364609981 + 217.2312487011 * tau] + 2.6558e-7 * cos[0.83256214407 + 224.3447957019 * tau] + 2.4631e-7 * cos[5.6556472857 + 735.8765135318 * tau] + 3.1150e-7 * cos[4.16379537691 + 191.9584544356 * tau] + 3.1573e-7 * cos[1.67190022213 + 302.164775655 * tau] + 3.2140e-7 * cos[0.07050050346 + 63.7358983034 * tau] + 4.2330e-7 * cos[5.70768187703 + 88.865680217 * tau] + 4.5293e-7 * cos[1.66856699796 + 202.2533951741 * tau] + 4.5827e-7 * cos[5.69296621745 + 440.8252848776 * tau] + 5.3281e-7 * cos[2.74730541387 + 529.6909650946 * tau] + 6.7184e-7 * cos[0.45648612616 + 522.5774180938 * tau] + 6.6459e-7 * cos[0.48297940601 + 10.2949407385 * tau] + 6.0647e-7 * cos[4.8751785019 + 632.7837393132 * tau] + 8.4860e-7 * cos[5.73472777961 + 209.3669421749 * tau] + 6.3696e-7 * cos[0.35179804917 + 323.5054166574 * tau] + 9.5659e-7 * cos[2.91093561539 + 316.3918696566 * tau] + 8.2727e-7 * cos[6.05030934786 + 216.4804891757 * tau] + 7.4857e-7 * cos[4.76178468163 + 210.1177017003 * tau] + 8.1948e-7 * cos[1.02477558315 + 117.3198682202 * tau] + 9.5227e-7 * cos[5.62561150598 + 412.3710968744 * tau] + 0.00000100967 * cos[0.892704931 + 21.3406410024 * tau] + 0.00000105415 * cos[4.90003203599 + 647.0108333148 * tau] + 0.00000117008 * cos[3.88120915956 + 853.196381752 * tau] + 0.00000129494 * cos[1.5658688417 + 309.2783226558 * tau] + 0.00000161571 * cos[1.3813914942 + 11.0457002639 * tau] + 0.00000273739 * cos[4.28841011784 + 95.9792272178 * tau] + 0.000004251 * cos[0.20935499279 + 227.5261894396 * tau] + 0.00000456914 * cos[1.26840971349 + 110.2063212194 * tau] + 0.00000549329 * cos[5.57303134242 + 3.9321532631 * tau] + 0.00000633582 * cos[4.38825410036 + 419.4846438752 * tau] + 0.00001044754 * cos[4.04206453611 + 199.0720014364 * tau] + 0.00001020079 * cos[0.63369182642 + 3.1813937377 * tau] + 0.00001081967 * cos[5.6913035167 + 433.7117378768 * tau] + 0.00001164684 * cos[4.60942128971 + 639.897286314 * tau] + 0.00001215527 * cos[2.91860042123 + 103.0927742186 * tau] + 0.00004265368 * cos[1.0459555663 + 14.2270940016 * tau] + 0.00010604979 * cos[5.40963595885 + 426.598190876 * tau] + 0.00010631396 * cos[0.25778277414 + 220.4126424388 * tau] + 0.00015276909 * cos[4.06492007503 + 206.1855484372 * tau] + 0.00090592251 * cos[0.0 + 0.0 * tau] + 0.00091920844 * cos[0.07425261094 + 213.299095438 * tau] + 0.00116441181 * cos[1.17987850633 + 7.1135470008 * tau]; L3 = 7.6e-10 * cos[3.33892447677 + 195.8906076987 * tau] + 7.2e-10 * cos[3.74361312157 + 1485.9801210652 * tau] + 9.1e-10 * cos[4.53336314765 + 241.7532834412 * tau] + 9.1e-10 * cos[2.05796248692 + 210.8514148832 * tau] + 9.3e-10 * cos[3.36746275886 + 483.2205421786 * tau] + 1.14e-9 * cos[2.640557371 + 362.8622925726 * tau] + 1.06e-9 * cos[1.04047809351 + 1162.4747044078 * tau] + 1.08e-9 * cos[4.251257865 + 145.6310438715 * tau] + 1.54e-9 * cos[1.54587199996 + 1464.6394800628 * tau] + 1.85e-9 * cos[4.74969742128 + 319.5732633943 * tau] + 1.54e-9 * cos[3.60622857548 + 650.9429865779 * tau] + 1.76e-9 * cos[1.29002070623 + 490.3340891794 * tau] + 1.52e-9 * cos[0.05796022559 + 32.2433289144 * tau] + 1.75e-9 * cos[4.14605894816 + 2090.3096723752 * tau] + 1.60e-9 * cos[1.23508694599 + 1596.1864422846 * tau] + 1.62e-9 * cos[2.5148834502 + 430.5303441391 * tau] + 1.99e-9 * cos[0.70725247497 + 2420.9286360334 * tau] + 1.99e-9 * cos[1.54991619669 + 1471.7530270636 * tau] + 2.36e-9 * cos[4.64388694899 + 1905.4647649404 * tau] + 2.01e-9 * cos[0.46214583002 + 2854.6403739102 * tau] + 1.78e-9 * cos[2.91685344537 + 74.7815985673 * tau] + 2.10e-9 * cos[4.19139167658 + 2221.856634597 * tau] + 1.81e-9 * cos[2.13821830481 + 416.3032501375 * tau] + 2.44e-9 * cos[5.5157208457 + 231.4583427027 * tau] + 2.15e-9 * cos[0.8886764788 + 1038.0412891868 * tau] + 2.12e-9 * cos[1.25688162158 + 1773.9178027186 * tau] + 2.14e-9 * cos[3.57607524509 + 934.9485149682 * tau] + 2.03e-9 * cos[4.12623986247 + 337.732510659 * tau] + 2.27e-9 * cos[0.43324651601 + 2737.32050569 * tau] + 2.29e-9 * cos[5.5791753484 + 2943.5060541272 * tau] + 1.97e-9 * cos[6.16682223437 + 1258.4539316256 * tau] + 2.21e-9 * cos[2.07880035795 + 824.7421937488 * tau] + 2.47e-9 * cos[0.93125798111 + 52.6901980395 * tau] + 2.47e-9 * cos[0.10102936687 + 99.9113804809 * tau] + 2.37e-9 * cos[3.35941544147 + 436.8931316145 * tau] + 2.51e-9 * cos[0.61933213502 + 2413.8150890326 * tau] + 2.06e-9 * cos[1.81129778306 + 497.4476361802 * tau] + 2.56e-9 * cos[0.37673546414 + 1279.794572628 * tau] + 2.72e-9 * cos[1.12208982319 + 1788.1448967202 * tau] + 2.69e-9 * cos[3.18157515051 + 750.1036075334 * tau] + 2.46e-9 * cos[2.29214585472 + 867.4234757536 * tau] + 2.61e-9 * cos[1.55058302472 + 1457.525933062 * tau] + 2.70e-9 * cos[2.56774718753 + 643.0786800517 * tau] + 2.67e-9 * cos[0.31623829657 + 1677.9385755008 * tau] + 2.64e-9 * cos[3.00987438634 + 661.2379273164 * tau] + 2.96e-9 * cos[0.89576757167 + 2104.5367663768 * tau] + 2.42e-9 * cos[1.52154324392 + 70.8494453042 * tau] + 2.95e-9 * cos[0.35280179538 + 2730.2069586892 * tau] + 2.54e-9 * cos[3.00353256829 + 618.5566453116 * tau] + 2.51e-9 * cos[3.12046701975 + 1382.8873468466 * tau] + 2.71e-9 * cos[2.4566315646 + 415.5524906121 * tau] + 3.22e-9 * cos[1.1862880501 + 721.6494195302 * tau] + 3.25e-9 * cos[1.78816356937 + 1148.2476104062 * tau] + 3.38e-9 * cos[0.69100012338 + 1361.5467058442 * tau] + 3.72e-9 * cos[1.0372391139 + 313.2104759189 * tau] + 2.98e-9 * cos[2.28594631393 + 635.9651330509 * tau] + 3.05e-9 * cos[5.34154702988 + 131.4039498699 * tau] + 3.03e-9 * cos[2.4158474733 + 127.4717966068 * tau] + 3.40e-9 * cos[1.8332577031 + 1141.1340634054 * tau] + 3.09e-9 * cos[1.42279282226 + 6062.6632075526 * tau] + 3.09e-9 * cos[0.33610530663 + 6076.8903015542 * tau] + 4.09e-9 * cos[1.21858750514 + 1052.2683831884 * tau] + 3.07e-9 * cos[1.82185086955 + 628.8515860501 * tau] + 3.89e-9 * cos[1.46170367972 + 1073.6090241908 * tau] + 4.33e-9 * cos[1.69090148012 + 1155.361157407 * tau] + 3.47e-9 * cos[0.59237194522 + 22.0914005278 * tau] + 3.75e-9 * cos[1.22747948298 + 2324.9494088156 * tau] + 4.21e-9 * cos[4.05836524024 + 543.9180590962 * tau] + 3.88e-9 * cos[2.57589594168 + 508.3503240922 * tau] + 4.37e-9 * cos[5.40220619672 + 408.4389436113 * tau] + 4.84e-9 * cos[4.8836606072 + 1272.6810256272 * tau] + 5.21e-9 * cos[3.43013038466 + 149.5631971346 * tau] + 5.32e-9 * cos[6.25762144463 + 1059.3819301892 * tau] + 5.43e-9 * cos[2.86326941725 + 184.8449074348 * tau] + 7.02e-9 * cos[1.64585301418 + 423.4167971383 * tau] + 7.85e-9 * cos[2.40767785311 + 203.0041546995 * tau] + 6.51e-9 * cos[6.17565900032 + 942.062061969 * tau] + 7.09e-9 * cos[4.27064410504 + 437.6438911399 * tau] + 7.87e-9 * cos[0.80410269937 + 1045.1548361876 * tau] + 9.08e-9 * cos[2.02119147951 + 831.8557407496 * tau] + 8.00e-9 * cos[4.71386673963 + 56.6223513026 * tau] + 9.43e-9 * cos[3.31480217015 + 18.1592472647 * tau] + 8.86e-9 * cos[3.83754799777 + 447.9388318784 * tau] + 9.06e-9 * cos[0.71155526266 + 846.0828347512 * tau] + 9.43e-9 * cos[2.75813531246 + 284.1485407422 * tau] + 1.318e-8 * cos[2.33460998999 + 217.2312487011 * tau] + 1.323e-8 * cos[1.38492882986 + 735.8765135318 * tau] + 1.018e-8 * cos[3.72599601656 + 295.0512286542 * tau] + 1.245e-8 * cos[3.8810975277 + 269.9214467406 * tau] + 1.446e-8 * cos[2.10575519127 + 838.9692877504 * tau] + 1.304e-8 * cos[5.02409881054 + 956.2891559706 * tau] + 1.286e-8 * cos[1.66154726117 + 63.7358983034 * tau] + 1.623e-8 * cos[6.03706764648 + 742.9900605326 * tau] + 1.460e-8 * cos[1.57663426355 + 81.7521332162 * tau] + 1.720e-8 * cos[5.82865773356 + 195.1398481733 * tau] + 1.481e-8 * cos[0.37916705169 + 316.3918696566 * tau] + 2.090e-8 * cos[4.15631351317 + 223.5940361765 * tau] + 2.194e-8 * cos[1.18918501013 + 1066.49547719 * tau] + 1.846e-8 * cos[4.1522598545 + 536.8045120954 * tau] + 1.868e-8 * cos[3.09383546177 + 422.6660376129 * tau] + 1.979e-8 * cos[1.02981005658 + 728.762966531 * tau] + 2.018e-8 * cos[3.06693569701 + 654.1243803156 * tau] + 2.296e-8 * cos[3.34809165905 + 429.7795846137 * tau] + 2.154e-8 * cos[1.35488209144 + 405.2575498736 * tau] + 1.965e-8 * cos[4.39525359412 + 124.433415221 * tau] + 2.850e-8 * cos[0.5860439501 + 529.6909650946 * tau] + 2.421e-8 * cos[4.76621391814 + 330.6189636582 * tau] + 2.213e-8 * cos[3.19814958289 + 202.2533951741 * tau] + 2.543e-8 * cos[0.42393884183 + 625.6701923124 * tau] + 2.583e-8 * cos[4.93447677059 + 224.3447957019 * tau] + 3.701e-8 * cos[3.14159265359 + 0.0 * tau] + 3.229e-8 * cos[2.20309400066 + 860.3099287528 * tau] + 3.602e-8 * cos[2.30677010956 + 515.463871093 * tau] + 6.327e-8 * cos[2.25492722762 + 522.5774180938 * tau] + 5.449e-8 * cos[4.64268475485 + 234.6397364404 * tau] + 5.864e-8 * cos[1.05621157685 + 210.1177017003 * tau] + 6.697e-8 * cos[0.38198725552 + 632.7837393132 * tau] + 7.580e-8 * cos[4.87736913157 + 323.5054166574 * tau] + 8.650e-8 * cos[3.39335369698 + 302.164775655 * tau] + 1.0389e-7 * cos[3.94838736947 + 209.3669421749 * tau] + 1.0548e-7 * cos[5.92906266269 + 191.9584544356 * tau] + 1.1453e-7 * cos[5.57520615096 + 11.0457002639 * tau] + 1.7919e-7 * cos[4.20376505349 + 216.4804891757 * tau] + 1.2947e-7 * cos[1.18068953942 + 88.865680217 * tau] + 1.8262e-7 * cos[4.96738415934 + 10.2949407385 * tau] + 1.9014e-7 * cos[1.91614237463 + 853.196381752 * tau] + 1.5763e-7 * cos[5.61667809625 + 117.3198682202 * tau] + 1.6208e-7 * cos[3.89825272754 + 440.8252848776 * tau] + 1.7879e-7 * cos[3.31913418974 + 309.2783226558 * tau] + 1.8101e-7 * cos[1.02506397063 + 412.3710968744 * tau] + 2.5029e-7 * cos[0.9880817074 + 3.9321532631 * tau] + 2.8025e-7 * cos[3.01235311514 + 647.0108333148 * tau] + 3.8746e-7 * cos[5.83386199529 + 110.2063212194 * tau] + 4.0205e-7 * cos[5.9642026672 + 95.9792272178 * tau] + 4.0437e-7 * cos[5.47298059144 + 21.3406410024 * tau] + 6.3365e-7 * cos[0.22850089497 + 419.4846438752 * tau] + 6.1630e-7 * cos[4.74287052463 + 103.0927742186 * tau] + 0.00000151352 * cos[2.73594641861 + 639.897286314 * tau] + 0.00000131409 * cos[4.74327544615 + 227.5261894396 * tau] + 0.00000165641 * cos[5.11641150216 + 3.1813937377 * tau] + 0.00000236975 * cos[5.76826451465 + 199.0720014364 * tau] + 0.00000239377 * cos[3.86088273439 + 433.7117378768 * tau] + 0.00001066581 * cos[3.60816533142 + 426.598190876 * tau] + 0.00001162041 * cos[5.61973132428 + 14.2270940016 * tau] + 0.00001465687 * cos[5.91326678323 + 206.1855484372 * tau] + 0.00001906524 * cos[4.76082050205 + 220.4126424388 * tau] + 0.00004249793 * cos[4.58539675603 + 213.299095438 * tau] + 0.00016038734 * cos[5.73945377424 + 7.1135470008 * tau]; L4 = 8.8e-10 * cos[4.48383632427 + 423.4167971383 * tau] + 9.6e-10 * cos[2.93247663741 + 224.3447957019 * tau] + 1.46e-9 * cos[6.1651969664 + 316.3918696566 * tau] + 1.52e-9 * cos[1.91404443241 + 942.062061969 * tau] + 1.50e-9 * cos[3.48436135302 + 956.2891559706 * tau] + 1.48e-9 * cos[2.28313808274 + 295.0512286542 * tau] + 1.56e-9 * cos[3.02120117572 + 1781.0313497194 * tau] + 1.75e-9 * cos[5.75326979098 + 1073.6090241908 * tau] + 1.78e-9 * cos[3.67593243311 + 831.8557407496 * tau] + 2.18e-9 * cos[0.40426546037 + 867.4234757536 * tau] + 1.77e-9 * cos[5.02663339078 + 203.0041546995 * tau] + 1.68e-9 * cos[0.69946458053 + 824.7421937488 * tau] + 1.85e-9 * cos[1.08713469614 + 742.9900605326 * tau] + 1.90e-9 * cos[2.326931712 + 223.5940361765 * tau] + 1.76e-9 * cos[1.26161895188 + 422.6660376129 * tau] + 1.91e-9 * cos[4.39064160974 + 1574.8458012822 * tau] + 2.62e-9 * cos[2.48322150677 + 625.6701923124 * tau] + 2.18e-9 * cos[2.61967125327 + 536.8045120954 * tau] + 2.61e-9 * cos[2.04564143519 + 1677.9385755008 * tau] + 2.23e-9 * cos[3.57980034401 + 1155.361157407 * tau] + 2.86e-9 * cos[2.57895004576 + 1045.1548361876 * tau] + 2.35e-9 * cos[3.67049647573 + 1148.2476104062 * tau] + 3.33e-9 * cos[2.94355912397 + 728.762966531 * tau] + 2.91e-9 * cos[3.18885372262 + 1464.6394800628 * tau] + 3.12e-9 * cos[1.40962796637 + 429.7795846137 * tau] + 3.20e-9 * cos[3.18332026736 + 529.6909650946 * tau] + 3.32e-9 * cos[4.12464206608 + 838.9692877504 * tau] + 4.42e-9 * cos[3.38933498625 + 81.7521332162 * tau] + 4.15e-9 * cos[3.12435410343 + 330.6189636582 * tau] + 4.88e-9 * cos[3.20329778617 + 405.2575498736 * tau] + 4.69e-9 * cos[1.26889429317 + 654.1243803156 * tau] + 4.07e-9 * cos[5.4451597099 + 1066.49547719 * tau] + 4.42e-9 * cos[2.23500083592 + 447.9388318784 * tau] + 5.59e-9 * cos[2.1711006053 + 124.433415221 * tau] + 6.39e-9 * cos[0.29772678242 + 860.3099287528 * tau] + 6.30e-9 * cos[2.37952532019 + 632.7837393132 * tau] + 6.16e-9 * cos[4.03194472161 + 522.5774180938 * tau] + 6.48e-9 * cos[2.28591710303 + 209.3669421749 * tau] + 6.13e-9 * cos[4.19052656353 + 515.463871093 * tau] + 7.63e-9 * cos[4.83197222448 + 210.1177017003 * tau] + 7.65e-9 * cos[3.44501766503 + 323.5054166574 * tau] + 1.211e-8 * cos[1.54685246534 + 191.9584544356 * tau] + 1.805e-8 * cos[2.23816036743 + 216.4804891757 * tau] + 1.921e-8 * cos[2.82884328662 + 234.6397364404 * tau] + 1.769e-8 * cos[5.19176876406 + 302.164775655 * tau] + 2.225e-8 * cos[3.77689198137 + 117.3198682202 * tau] + 1.862e-8 * cos[5.07955457727 + 309.2783226558 * tau] + 2.574e-8 * cos[0.39246854091 + 103.0927742186 * tau] + 2.638e-8 * cos[0.00255721254 + 853.196381752 * tau] + 2.796e-8 * cos[3.00730249564 + 88.865680217 * tau] + 2.871e-8 * cos[2.77203153866 + 412.3710968744 * tau] + 3.229e-8 * cos[4.09278077834 + 110.2063212194 * tau] + 4.463e-8 * cos[2.11783225176 + 440.8252848776 * tau] + 5.608e-8 * cos[1.1560709574 + 647.0108333148 * tau] + 4.470e-8 * cos[1.45120818748 + 95.9792272178 * tau] + 5.690e-8 * cos[2.41995290633 + 419.4846438752 * tau] + 9.444e-8 * cos[3.71485300868 + 21.3406410024 * tau] + 1.5111e-7 * cos[0.82897064529 + 639.897286314 * tau] + 3.1219e-7 * cos[3.0109418409 + 227.5261894396 * tau] + 4.0060e-7 * cos[2.04644897412 + 433.7117378768 * tau] + 3.7699e-7 * cos[1.23795458356 + 199.0720014364 * tau] + 6.8390e-7 * cos[1.72120953337 + 426.598190876 * tau] + 0.00000113953 * cos[3.14159265359 + 0.0 * tau] + 0.00000109598 * cos[1.51515739251 + 206.1855484372 * tau] + 0.00000149418 * cos[2.74110824208 + 213.299095438 * tau] + 0.00000236344 * cos[3.90241428075 + 14.2270940016 * tau] + 0.00000257107 * cos[2.98436499013 + 220.4126424388 * tau] + 0.00001661894 * cos[3.99826248978 + 7.1135470008 * tau]; L5 = 1.02e-9 * cos[0.49450039082 + 117.3198682202 * tau] + 8.9e-10 * cos[1.3637107038 + 412.3710968744 * tau] + 1.55e-9 * cos[4.70433216164 + 860.3099287528 * tau] + 1.66e-9 * cos[2.40063312194 + 515.463871093 * tau] + 2.58e-9 * cos[5.10074489186 + 95.9792272178 * tau] + 1.99e-9 * cos[0.88505901097 + 309.2783226558 * tau] + 2.66e-9 * cos[1.11384528244 + 234.6397364404 * tau] + 2.42e-9 * cos[2.05052677361 + 323.5054166574 * tau] + 3.92e-9 * cos[5.69922389094 + 654.1243803156 * tau] + 3.46e-9 * cos[4.31847547394 + 853.196381752 * tau] + 5.04e-9 * cos[4.77955496203 + 419.4846438752 * tau] + 5.49e-9 * cos[4.87733288264 + 88.865680217 * tau] + 1.007e-8 * cos[3.14159265359 + 0.0 * tau] + 1.038e-8 * cos[0.23516951637 + 440.8252848776 * tau] + 7.60e-9 * cos[0.69475544472 + 302.164775655 * tau] + 7.56e-9 * cos[6.17716234487 + 191.9584544356 * tau] + 9.32e-9 * cos[5.56741549127 + 647.0108333148 * tau] + 1.279e-8 * cos[5.27612561266 + 639.897286314 * tau] + 1.617e-8 * cos[6.25265362286 + 213.299095438 * tau] + 2.861e-8 * cos[4.28710932685 + 206.1855484372 * tau] + 3.057e-8 * cos[2.97372046322 + 199.0720014364 * tau] + 3.677e-8 * cos[6.22669694355 + 426.598190876 * tau] + 5.318e-8 * cos[0.23550400093 + 433.7117378768 * tau] + 5.818e-8 * cos[1.21584270184 + 227.5261894396 * tau] + 2.7546e-7 * cos[1.19868150215 + 220.4126424388 * tau] + 3.4190e-7 * cos[2.16250652689 + 14.2270940016 * tau] + 0.00000123615 * cos[2.25923345732 + 7.1135470008 * tau]; B0 = 8.3e-10 * cos[0.11133738383 + 402.2191684878 * tau] + 7.2e-10 * cos[4.85259171933 + 392.6579409322 * tau] + 8.0e-10 * cos[0.88468467902 + 856.3777754897 * tau] + 7.5e-10 * cos[2.8912265661 + 806.725958836 * tau] + 8.0e-10 * cos[4.11576173565 + 774.4826299216 * tau] + 9.8e-10 * cos[2.07334671974 + 639.8491022042 * tau] + 9.4e-10 * cos[4.30151510535 + 3377.217792004 * tau] + 1.00e-9 * cos[3.62925349363 + 426.7100654606 * tau] + 8.4e-10 * cos[5.83905303748 + 426.3857425549 * tau] + 8.6e-10 * cos[1.51247258028 + 760.25553592 * tau] + 9.3e-10 * cos[5.32943472274 + 432.0148168474 * tau] + 8.5e-10 * cos[4.28770375688 + 135.5485514541 * tau] + 8.4e-10 * cos[3.00961145133 + 426.8106391971 * tau] + 8.0e-10 * cos[5.71035549752 + 361.3778198643 * tau] + 1.10e-9 * cos[2.03622569317 + 642.3449668688 * tau] + 9.7e-10 * cos[5.09373549436 + 92.0470739547 * tau] + 8.0e-10 * cos[3.03551986945 + 409.9234163196 * tau] + 8.4e-10 * cos[0.14646013561 + 681.5417840896 * tau] + 1.05e-9 * cos[2.66415710279 + 460.5384408198 * tau] + 8.5e-10 * cos[5.20920130934 + 562.1467423301 * tau] + 8.4e-10 * cos[2.20217125255 + 909.8187330546 * tau] + 8.3e-10 * cos[6.12100285205 + 380.12776796 * tau] + 1.09e-9 * cos[2.82817225044 + 468.2426886516 * tau] + 9.4e-10 * cos[0.54205024076 + 423.6292454594 * tau] + 9.6e-10 * cos[0.59816870672 + 714.6788848813 * tau] + 1.06e-9 * cos[4.19443004843 + 486.4019359163 * tau] + 9.4e-10 * cos[1.16749092536 + 5643.1785636774 * tau] + 9.3e-10 * cos[5.35954173624 + 334.5511169213 * tau] + 1.07e-9 * cos[4.38879925113 + 412.5835451955 * tau] + 9.8e-10 * cos[5.27107833435 + 639.9454704238 * tau] + 9.5e-10 * cos[4.26135357007 + 540.7366653585 * tau] + 1.15e-9 * cos[5.22953781515 + 1119.1856752295 * tau] + 9.7e-10 * cos[1.27914551364 + 2847.5268269094 * tau] + 1.37e-9 * cos[2.20269111622 + 7.1617311106 * tau] + 1.00e-9 * cos[5.21941099517 + 426.4863162914 * tau] + 9.9e-10 * cos[5.92199927896 + 411.620337349 * tau] + 1.12e-9 * cos[5.53802838779 + 381.3516082374 * tau] + 1.01e-9 * cos[2.5339241033 + 640.8604941605 * tau] + 1.02e-9 * cos[5.90112611078 + 99.9113804809 * tau] + 1.09e-9 * cos[4.4384872728 + 405.9912630565 * tau] + 1.10e-9 * cos[4.86686492403 + 2914.0142358238 * tau] + 1.15e-9 * cos[2.26043201622 + 1781.0313497194 * tau] + 1.16e-9 * cos[2.82742160564 + 450.9772132642 * tau] + 1.04e-9 * cos[1.91139383428 + 472.1748419147 * tau] + 1.22e-9 * cos[4.96246567897 + 638.9340784675 * tau] + 1.13e-9 * cos[2.57036693965 + 462.0229135281 * tau] + 1.18e-9 * cos[5.47495367121 + 2957.7331481288 * tau] + 1.47e-9 * cos[1.52324472511 + 552.5855147745 * tau] + 1.12e-9 * cos[2.20667724213 + 395.578702239 * tau] + 1.09e-9 * cos[3.00005651288 + 420.4478517217 * tau] + 1.11e-9 * cos[5.53230411085 + 857.1285350151 * tau] + 1.12e-9 * cos[4.14736642579 + 422.405405182 * tau] + 1.14e-9 * cos[2.06120434865 + 952.0963702766 * tau] + 1.11e-9 * cos[4.51520219898 + 1699.2792165032 * tau] + 1.29e-9 * cos[5.42665311725 + 2538.2485042536 * tau] + 1.16e-9 * cos[4.71488890981 + 1130.2313754934 * tau] + 1.27e-9 * cos[0.47350572907 + 6.592282139 * tau] + 1.47e-9 * cos[4.9819929177 + 850.0149880143 * tau] + 1.51e-9 * cos[2.39413061881 + 2524.021410252 * tau] + 1.22e-9 * cos[5.82973501131 + 990.2294059144 * tau] + 1.23e-9 * cos[5.9848439397 + 477.8039162072 * tau] + 1.27e-9 * cos[6.19372294369 + 59.8037450403 * tau] + 1.20e-9 * cos[4.59083886034 + 339.2864193365 * tau] + 1.46e-9 * cos[3.7123287785 + 546.956440482 * tau] + 1.21e-9 * cos[1.19957548726 + 572.2292347475 * tau] + 1.29e-9 * cos[4.67730374872 + 913.9633346388 * tau] + 1.22e-9 * cos[4.75728514255 + 2854.6403739102 * tau] + 1.29e-9 * cos[2.75851443754 + 480.7728616238 * tau] + 1.28e-9 * cos[5.83700968658 + 2324.9494088156 * tau] + 1.25e-9 * cos[3.41796878361 + 1802.3719907218 * tau] + 1.53e-9 * cos[3.07590434707 + 3480.3105662226 * tau] + 1.65e-9 * cos[1.94881873062 + 107.0249274817 * tau] + 1.35e-9 * cos[1.27192121638 + 92.940845832 * tau] + 1.39e-9 * cos[0.79924371385 + 166.828672522 * tau] + 1.38e-9 * cos[4.20096561019 + 731.9443602687 * tau] + 1.43e-9 * cos[4.15264164139 + 31.019488637 * tau] + 1.52e-9 * cos[4.29475572258 + 555.5544601911 * tau] + 1.44e-9 * cos[3.95680110579 + 300.6108669775 * tau] + 1.77e-9 * cos[0.43196690516 + 140.001969579 * tau] + 1.46e-9 * cos[5.26789260159 + 7.065362891 * tau] + 1.72e-9 * cos[4.15145223592 + 2.9689454166 * tau] + 1.52e-9 * cos[1.01453902153 + 2840.4132799086 * tau] + 1.41e-9 * cos[3.88995778619 + 454.9093665273 * tau] + 1.41e-9 * cos[5.66801998888 + 120.358249606 * tau] + 1.45e-9 * cos[0.93414637377 + 1994.3304451574 * tau] + 1.60e-9 * cos[2.51522796187 + 3127.3133312618 * tau] + 1.98e-9 * cos[3.54289000289 + 533.6231183577 * tau] + 1.92e-9 * cos[0.90945359875 + 214.1928673153 * tau] + 1.92e-9 * cos[3.98017256784 + 212.4053235607 * tau] + 1.56e-9 * cos[2.03601440129 + 217.4436970222 * tau] + 1.52e-9 * cos[0.85558875667 + 570.7447620392 * tau] + 1.61e-9 * cos[4.98020340619 + 2648.454825473 * tau] + 1.60e-9 * cos[2.85370771355 + 209.1544938538 * tau] + 1.60e-9 * cos[4.18196878816 + 3340.6124266998 * tau] + 1.85e-9 * cos[5.49802440713 + 205.6642835754 * tau] + 2.08e-9 * cos[4.50537355579 + 24.3790223882 * tau] + 1.53e-9 * cos[6.06094547271 + 561.1835344836 * tau] + 1.75e-9 * cos[4.95121713507 + 1905.4647649404 * tau] + 1.55e-9 * cos[1.36669731999 + 206.9363079626 * tau] + 1.55e-9 * cos[6.02684189458 + 1286.9081196288 * tau] + 1.55e-9 * cos[6.24092514222 + 464.7312265138 * tau] + 1.57e-9 * cos[1.35908014451 + 51.2057253312 * tau] + 1.78e-9 * cos[4.55557913565 + 46.470422916 * tau] + 1.58e-9 * cos[5.92242110049 + 96.8729990951 * tau] + 1.60e-9 * cos[0.13309484488 + 431.264057322 * tau] + 1.66e-9 * cos[5.85452227121 + 637.4496057592 * tau] + 1.64e-9 * cos[3.50682537694 + 1382.8873468466 * tau] + 1.88e-9 * cos[2.9283680984 + 227.3137411185 * tau] + 1.81e-9 * cos[3.62483757675 + 233.9060232575 * tau] + 1.78e-9 * cos[2.01622328964 + 705.1176573257 * tau] + 1.79e-9 * cos[6.15189171649 + 2.9207613068 * tau] + 1.89e-9 * cos[1.27260556263 + 192.6921676185 * tau] + 2.25e-9 * cos[0.14271906959 + 131.4039498699 * tau] + 2.17e-9 * cos[2.6450996717 + 2207.6295405954 * tau] + 1.91e-9 * cos[4.20221553993 + 556.5176680376 * tau] + 2.46e-9 * cos[3.55891849574 + 1251.3403846248 * tau] + 2.22e-9 * cos[2.90133577623 + 205.4347889118 * tau] + 2.15e-9 * cos[4.52373060846 + 3060.8259223474 * tau] + 1.86e-9 * cos[2.81416016738 + 569.0478410098 * tau] + 1.81e-9 * cos[1.25381796494 + 2737.32050569 * tau] + 2.05e-9 * cos[1.98151360584 + 199.2844497575 * tau] + 1.81e-9 * cos[1.89151852263 + 6.1503391543 * tau] + 1.91e-9 * cos[1.05067348453 + 702.1487119091 * tau] + 1.92e-9 * cos[1.67985944172 + 1677.9385755008 * tau] + 1.91e-9 * cos[2.07106909876 + 756.3233826569 * tau] + 2.37e-9 * cos[5.05443109284 + 254.9435932136 * tau] + 1.99e-9 * cos[2.035087089 + 757.2171545342 * tau] + 1.99e-9 * cos[2.56046317223 + 264.5048207692 * tau] + 2.19e-9 * cos[3.46267185338 + 1182.9215735329 * tau] + 1.97e-9 * cos[2.65338829617 + 864.2420820159 * tau] + 1.99e-9 * cos[3.53454927143 + 219.6618829134 * tau] + 2.32e-9 * cos[1.86083014117 + 221.1634019642 * tau] + 2.18e-9 * cos[1.7185910151 + 0.9632078465 * tau] + 2.10e-9 * cos[2.56849303008 + 593.426863398 * tau] + 2.09e-9 * cos[2.97542058241 + 273.1028404783 * tau] + 2.17e-9 * cos[4.03234048538 + 835.0371344873 * tau] + 2.23e-9 * cos[2.49651288358 + 1464.6394800628 * tau] + 2.10e-9 * cos[2.8782376161 + 214.7353840365 * tau] + 2.10e-9 * cos[2.01138855049 + 211.8628068395 * tau] + 2.18e-9 * cos[1.46057992688 + 2531.1349572528 * tau] + 2.17e-9 * cos[3.9632856194 + 894.8408795276 * tau] + 2.29e-9 * cos[3.91975580405 + 182.279606801 * tau] + 2.35e-9 * cos[0.29884419224 + 14.0146456805 * tau] + 2.93e-9 * cos[5.91401607974 + 14.977853527 * tau] + 2.38e-9 * cos[3.52738705554 + 267.4737661858 * tau] + 2.21e-9 * cos[0.48302467341 + 153.4953503977 * tau] + 2.46e-9 * cos[1.83689902078 + 214.9960164674 * tau] + 2.36e-9 * cos[5.79560286324 + 280.9671470045 * tau] + 2.85e-9 * cos[4.76303256917 + 54.1746707478 * tau] + 2.78e-9 * cos[2.81667003542 + 87.3117715395 * tau] + 2.42e-9 * cos[0.98744748894 + 282.4516197128 * tau] + 2.39e-9 * cos[2.09516779457 + 292.0128472684 * tau] + 2.85e-9 * cos[5.69474711283 + 220.9339073006 * tau] + 3.03e-9 * cos[3.96772261614 + 934.9485149682 * tau] + 2.60e-9 * cos[5.99216785208 + 20.6069278195 * tau] + 2.43e-9 * cos[3.13047989401 + 525.7588118315 * tau] + 2.44e-9 * cos[3.52504227332 + 184.9879197867 * tau] + 3.39e-9 * cos[1.03883773894 + 32.2433289144 * tau] + 2.94e-9 * cos[4.29399534634 + 4.192785694 * tau] + 3.40e-9 * cos[1.29378813067 + 329.7251917809 * tau] + 2.75e-9 * cos[0.91628212149 + 849.2642284889 * tau] + 2.58e-9 * cos[0.43205106363 + 2634.2277314714 * tau] + 3.45e-9 * cos[5.37083374878 + 428.0826635843 * tau] + 3.23e-9 * cos[1.17502395659 + 815.0633461142 * tau] + 2.63e-9 * cos[6.11559198968 + 2428.0421830342 * tau] + 2.93e-9 * cos[1.32452002382 + 159.1244246902 * tau] + 2.74e-9 * cos[2.72607352851 + 145.6310438715 * tau] + 2.96e-9 * cos[3.04457317761 + 211.6021744086 * tau] + 2.74e-9 * cos[5.03981944861 + 458.8415197904 * tau] + 3.15e-9 * cos[6.24003908326 + 465.9550667912 * tau] + 2.80e-9 * cos[5.41630221077 + 1493.093668066 * tau] + 2.80e-9 * cos[1.29728455136 + 241.6102710893 * tau] + 2.96e-9 * cos[0.3033252409 + 1055.4497769261 * tau] + 2.88e-9 * cos[6.16001418475 + 969.6224780949 * tau] + 3.98e-9 * cos[6.03822674845 + 432.2272651685 * tau] + 2.89e-9 * cos[2.0537143135 + 214.5229357154 * tau] + 2.89e-9 * cos[2.83591185309 + 212.0752551606 * tau] + 3.03e-9 * cos[4.9396287369 + 373.9079928365 * tau] + 2.91e-9 * cos[3.2597776278 + 494.2662424425 * tau] + 3.08e-9 * cos[2.84912656825 + 487.3651437628 * tau] + 3.10e-9 * cos[0.31232452686 + 427.3489504014 * tau] + 3.12e-9 * cos[5.29291124448 + 347.8844390456 * tau] + 3.93e-9 * cos[0.56487847337 + 128.9562693151 * tau] + 4.05e-9 * cos[1.87470341223 + 114.3991069134 * tau] + 3.26e-9 * cos[1.62373774313 + 5.6290742925 * tau] + 3.98e-9 * cos[2.08900381937 + 4.665866446 * tau] + 4.05e-9 * cos[2.91366762549 + 1891.2376709388 * tau] + 3.59e-9 * cos[5.62797136991 + 78.7137518304 * tau] + 3.28e-9 * cos[1.48618893585 + 2420.9286360334 * tau] + 3.28e-9 * cos[6.07106596408 + 710.7467316182 * tau] + 3.34e-9 * cos[1.8426099474 + 1361.5467058442 * tau] + 3.58e-9 * 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cos[0.10756875163 + 252.6559713532 * tau] + 4.927e-8 * cos[3.81806549732 + 225.8292684102 * tau] + 5.200e-8 * cos[3.32827437636 + 515.463871093 * tau] + 5.621e-8 * cos[0.81869581274 + 52.6901980395 * tau] + 4.883e-8 * cos[1.94823282939 + 195.1398481733 * tau] + 4.920e-8 * cos[3.85622235967 + 173.9422195228 * tau] + 4.960e-8 * cos[1.04628615559 + 12.5301729722 * tau] + 5.341e-8 * cos[3.45755372717 + 203.7378678824 * tau] + 5.851e-8 * cos[4.81776629912 + 1.4844727083 * tau] + 5.661e-8 * cos[1.4698271355 + 265.9892934775 * tau] + 5.466e-8 * cos[3.21737829505 + 234.6397364404 * tau] + 7.421e-8 * cos[4.19354269508 + 9.5612275556 * tau] + 7.567e-8 * cos[2.68446523795 + 191.2076949102 * tau] + 7.444e-8 * cos[5.41859596459 + 213.8203602998 * tau] + 6.014e-8 * cos[5.58952234348 + 425.1137181677 * tau] + 8.079e-8 * cos[0.42574715104 + 554.0699874828 * tau] + 5.808e-8 * cos[5.01602242794 + 479.2883889155 * tau] + 5.841e-8 * cos[2.35829915285 + 750.1036075334 * tau] + 6.319e-8 * cos[1.17328438271 + 1265.5674786264 * tau] + 6.318e-8 * cos[1.87388481013 + 654.1243803156 * tau] + 7.753e-8 * cos[6.2366454907 + 1478.8665740644 * tau] + 6.610e-8 * cos[6.14944028835 + 417.0369633204 * tau] + 7.985e-8 * cos[2.20794292064 + 362.8622925726 * tau] + 8.137e-8 * cos[3.98500592467 + 85.8272988312 * tau] + 7.409e-8 * cos[2.03506679104 + 288.0806940053 * tau] + 7.439e-8 * cos[4.92597321442 + 212.7778305762 * tau] + 8.518e-8 * cos[4.51649648578 + 3.1813937377 * tau] + 8.470e-8 * cos[1.97890349826 + 625.6701923124 * tau] + 8.706e-8 * cos[2.58144528603 + 1155.361157407 * tau] + 1.0367e-7 * cos[1.85278552549 + 350.3321196004 * tau] + 1.2058e-7 * cos[0.441492427 + 222.8603229936 * tau] + 1.0072e-7 * cos[1.33197220789 + 565.1156877467 * tau] + 1.0263e-7 * cos[2.17423692422 + 76.2660712756 * tau] + 1.0600e-7 * cos[3.84358958373 + 138.5174968707 * tau] + 1.0585e-7 * cos[6.1763342593 + 200.7689224658 * tau] + 1.1374e-7 * cos[1.45300927024 + 1368.660252845 * tau] + 1.4173e-7 * cos[3.57477564831 + 213.2509113282 * tau] + 1.2565e-7 * cos[1.03178071173 + 563.6312150384 * tau] + 1.3344e-7 * cos[2.37136126257 + 429.7795846137 * tau] + 1.9027e-7 * cos[6.27326062836 + 423.4167971383 * tau] + 1.4169e-7 * cos[0.48937283445 + 213.3472795478 * tau] + 1.7065e-7 * cos[0.16611115812 + 212.3358875915 * tau] + 1.5517e-7 * cos[4.54798410406 + 956.2891559706 * tau] + 1.9100e-7 * cos[2.97699096081 + 137.0330241624 * tau] + 1.6551e-7 * cos[1.66649120724 + 38.1330356378 * tau] + 2.0935e-7 * cos[0.14356167048 + 430.5303441391 * tau] + 1.7824e-7 * cos[2.28524493886 + 388.4651552382 * tau] + 1.7635e-7 * cos[6.19715516746 + 703.6331846174 * tau] + 1.7103e-7 * cos[3.89784279922 + 214.2623032845 * tau] + 1.9509e-7 * cos[2.81857577372 + 127.4717966068 * tau] + 2.0813e-7 * cos[3.51084686918 + 330.6189636582 * tau] + 2.3631e-7 * cos[3.07427204313 + 215.7467759928 * tau] + 2.3600e-7 * cos[4.11386961467 + 3.9321532631 * tau] + 2.3460e-7 * cos[0.98962849901 + 210.8514148832 * tau] + 2.3516e-7 * cos[2.74936525342 + 838.9692877504 * tau] + 2.6980e-7 * cos[1.2715481681 + 860.3099287528 * tau] + 3.6833e-7 * cos[6.27769966148 + 1162.4747044078 * tau] + 3.1633e-7 * cos[4.14722153007 + 437.6438911399 * tau] + 3.3787e-7 * cos[1.14073392951 + 949.1756089698 * tau] + 3.4313e-7 * cos[5.97994514798 + 412.3710968744 * tau] + 3.4270e-7 * cos[2.45740470599 + 422.6660376129 * tau] + 3.5055e-7 * cos[1.71279210041 + 1052.2683831884 * tau] + 3.6323e-7 * cos[1.63348365121 + 628.8515860501 * tau] + 3.8304e-7 * cos[5.29151303843 + 1059.3819301892 * tau] + 4.8243e-7 * cos[2.1821183743 + 74.7815985673 * tau] + 4.8864e-7 * cos[5.78725874107 + 95.9792272178 * tau] + 5.6598e-7 * cos[2.60963391288 + 440.8252848776 * tau] + 6.1734e-7 * cos[0.67728106562 + 1066.49547719 * tau] + 6.8040e-7 * cos[2.18002263974 + 351.8165923087 * tau] + 7.4302e-7 * cos[2.8937653962 + 149.5631971346 * tau] + 6.9261e-7 * cos[4.92378633635 + 309.2783226558 * tau] + 7.2952e-7 * cos[3.0598848237 + 536.8045120954 * tau] + 8.0593e-7 * cos[1.3169275015 + 277.0349937414 * tau] + 9.6376e-7 * cos[4.48164339766 + 117.3198682202 * tau] + 0.00000114218 * cos[0.96261442133 + 210.1177017003 * tau] + 0.00000115524 * cos[3.10891547171 + 216.4804891757 * tau] + 0.0000013924 * cos[4.59535168021 + 14.2270940016 * tau] + 0.00000121669 * cos[3.11537140876 + 522.5774180938 * tau] + 0.00000140585 * cos[0.64417620299 + 490.3340891794 * tau] + 0.00000134884 * cos[5.24500819605 + 742.9900605326 * tau] + 0.0000013914 * cos[1.9982199094 + 735.8765135318 * tau] + 0.00000207213 * cos[0.73021462851 + 199.0720014364 * tau] + 0.00000178958 * cos[2.95361514672 + 63.7358983034 * tau] + 0.00000208522 * cos[2.12003893769 + 415.5524906121 * tau] + 0.00000215354 * cos[5.94982610103 + 846.0828347512 * tau] + 0.00000236442 * cos[2.13887472281 + 11.0457002639 * tau] + 0.00000314225 * cos[0.4651027241 + 217.2312487011 * tau] + 0.00000284494 * cos[4.88648481625 + 224.3447957019 * tau] + 0.0000031938 * cos[3.6257155098 + 209.3669421749 * tau] + 0.00000316063 * cos[1.99716764199 + 647.0108333148 * tau] + 0.00000399675 * cos[3.35891413961 + 227.5261894396 * tau] + 0.00000552313 * cos[5.13149109045 + 202.2533951741 * tau] + 0.00000707645 * cos[3.80302329547 + 323.5054166574 * tau] + 0.0000094205 * cos[1.39646678088 + 853.196381752 * tau] + 0.00000969071 * cos[5.20434966103 + 632.7837393132 * tau] + 0.00001060298 * cos[5.63099292414 + 529.6909650946 * tau] + 0.00001506129 * cos[6.01304536144 + 103.0927742186 * tau] + 0.00003432125 * cos[2.73255752123 + 433.7117378768 * tau] + 0.00004788392 * cos[4.9651292742 + 110.2063212194 * tau] + 0.00004807587 * cos[5.43305315602 + 316.3918696566 * tau] + 0.00006993564 * cos[4.73604689179 + 7.1135470008 * tau] + 0.00009916668 * cos[5.79003189405 + 419.4846438752 * tau] + 0.0001473407 * cos[2.1184659787 + 639.897286314 * tau] + 0.00034116063 * cos[0.57297307844 + 206.1855484372 * tau] + 0.00030863357 * cos[3.48441504465 + 220.4126424388 * tau] + 0.00084745939 * cos[0.0 + 0.0 * tau] + 0.00240348303 * cos[2.8523848939 + 426.598190876 * tau] + 0.0433067804 * cos[3.60284428399 + 213.299095438 * tau]; B1 = 8.7e-10 * cos[2.71469794199 + 617.8058857862 * tau] + 9.1e-10 * cos[5.97938003596 + 556.5176680376 * tau] + 7.2e-10 * cos[2.05164614795 + 2634.2277314714 * tau] + 8.0e-10 * cos[0.22601918692 + 427.5613987225 * tau] + 7.8e-10 * cos[6.0384119105 + 835.0371344873 * tau] + 8.2e-10 * cos[3.23546757052 + 198.321241911 * tau] + 8.0e-10 * cos[5.74264101239 + 213.5115437591 * tau] + 8.0e-10 * cos[2.28889729136 + 213.0866471169 * tau] + 1.03e-9 * cos[3.20558404998 + 312.1990839626 * tau] + 8.8e-10 * cos[3.81144552178 + 1788.1448967202 * tau] + 8.5e-10 * cos[0.4589634906 + 1382.8873468466 * tau] + 8.9e-10 * cos[6.24541644164 + 661.2379273164 * tau] + 8.5e-10 * cos[4.93878023673 + 2.4476805548 * tau] + 9.9e-10 * cos[3.60670326134 + 776.9303104764 * tau] + 8.9e-10 * cos[4.61331934339 + 431.264057322 * tau] + 9.2e-10 * cos[5.48700119144 + 767.3690829208 * tau] + 9.0e-10 * cos[4.63029999228 + 228.276948965 * tau] + 1.19e-9 * cos[3.62785705509 + 248.7238180901 * tau] + 1.03e-9 * cos[1.88058957173 + 99.1606209555 * tau] + 9.5e-10 * cos[1.66925524906 + 213.1872208534 * tau] + 9.5e-10 * cos[0.07909774752 + 213.4109700226 * tau] + 1.22e-9 * cos[4.40757611742 + 778.4147831847 * tau] + 1.33e-9 * cos[2.3829063407 + 2111.6503133776 * tau] + 1.27e-9 * cos[3.88189432056 + 98.8999885246 * tau] + 1.29e-9 * cos[5.1393694616 + 849.2642284889 * tau] + 1.13e-9 * cos[4.05600865495 + 1286.9081196288 * tau] + 1.09e-9 * cos[6.14289264597 + 151.0476698429 * tau] + 1.11e-9 * cos[1.44669239244 + 2531.1349572528 * tau] + 1.08e-9 * cos[0.45464469172 + 1802.3719907218 * tau] + 1.17e-9 * cos[4.78666549046 + 601.7642506762 * tau] + 1.16e-9 * cos[6.11600926571 + 558.0021407459 * tau] + 1.25e-9 * cos[4.50999471095 + 2317.8358618148 * tau] + 1.20e-9 * cos[0.70795300239 + 81.7521332162 * tau] + 1.25e-9 * cos[5.87007326241 + 963.4027029714 * tau] + 1.17e-9 * cos[3.43819501459 + 436.1594184316 * tau] + 1.34e-9 * cos[3.49720535944 + 488.8496164711 * tau] + 1.29e-9 * cos[0.05327999225 + 211.8146227297 * tau] + 1.68e-9 * cos[4.63122081226 + 1891.2376709388 * tau] + 1.23e-9 * cos[2.28640485589 + 1898.3512179396 * tau] + 1.67e-9 * cos[1.97508934614 + 62.2514255951 * tau] + 1.38e-9 * cos[1.0308057361 + 4.665866446 * tau] + 1.46e-9 * cos[3.95687956474 + 421.93232443 * tau] + 1.44e-9 * cos[0.96056164245 + 214.7835681463 * tau] + 1.31e-9 * cos[5.85409245557 + 175.1660598002 * tau] + 1.44e-9 * cos[4.61003572124 + 121.2520214833 * tau] + 1.36e-9 * cos[4.20279658293 + 710.7467316182 * tau] + 1.57e-9 * cos[3.22870773657 + 1493.093668066 * tau] + 1.37e-9 * cos[1.45135867137 + 131.5469622218 * tau] + 1.61e-9 * cos[5.8336852375 + 181.0557665236 * tau] + 1.41e-9 * cos[4.73916921092 + 501.3797894433 * tau] + 1.65e-9 * cos[2.62993712087 + 525.4981794006 * tau] + 1.66e-9 * cos[5.32531835813 + 2001.4439921582 * tau] + 1.74e-9 * cos[2.80423114755 + 1781.0313497194 * tau] + 1.55e-9 * cos[5.3519412342 + 576.1613880106 * tau] + 1.88e-9 * cos[4.29343910228 + 1471.7530270636 * tau] + 1.91e-9 * cos[2.28724146195 + 2435.155730035 * tau] + 1.58e-9 * cos[2.78517362162 + 2008.557539159 * tau] + 2.00e-9 * cos[1.89409546254 + 2420.9286360334 * tau] + 1.85e-9 * cos[3.73859309582 + 114.1384744825 * tau] + 1.78e-9 * cos[6.05669760153 + 206.1373643274 * tau] + 1.83e-9 * cos[5.09056895026 + 220.4608265486 * tau] + 2.28e-9 * cos[5.00073557208 + 1574.8458012822 * tau] + 2.23e-9 * cos[2.34400676548 + 1677.9385755008 * tau] + 2.24e-9 * cos[4.42406538277 + 251.4321310758 * tau] + 2.40e-9 * cos[2.93712394928 + 916.9322800554 * tau] + 2.52e-9 * cos[5.10097595426 + 1258.4539316256 * tau] + 1.91e-9 * cos[1.51642829677 + 6069.7767545534 * tau] + 1.96e-9 * cos[2.73629728926 + 214.0498549634 * tau] + 1.96e-9 * cos[1.01284131123 + 114.3991069134 * tau] + 2.34e-9 * cos[2.43423283339 + 1692.1656695024 * tau] + 2.53e-9 * cos[2.08074949572 + 252.6559713532 * tau] + 2.30e-9 * cos[5.93560798508 + 618.5566453116 * tau] + 2.01e-9 * cos[4.52152562223 + 508.3503240922 * tau] + 2.30e-9 * cos[4.63171743406 + 107.0249274817 * tau] + 2.11e-9 * cos[2.82699627326 + 106.2741679563 * tau] + 2.54e-9 * cos[4.51652534648 + 1148.2476104062 * tau] + 2.18e-9 * cos[2.16069250901 + 177.8743727859 * tau] + 2.44e-9 * cos[5.3632797601 + 245.5424243524 * tau] + 2.28e-9 * cos[1.19253095837 + 1589.0728952838 * tau] + 2.27e-9 * cos[3.10352674343 + 1361.5467058442 * tau] + 3.19e-9 * cos[4.68828119248 + 1155.361157407 * tau] + 2.67e-9 * cos[4.72606312146 + 696.5196376166 * tau] + 3.11e-9 * cos[6.27145060602 + 207.1487562837 * tau] + 2.55e-9 * cos[4.1408660503 + 284.1485407422 * tau] + 3.31e-9 * cos[5.62133883922 + 9.5612275556 * tau] + 3.48e-9 * cos[0.98872551635 + 70.8494453042 * tau] + 2.87e-9 * cos[2.60486363576 + 113.3877149571 * tau] + 2.69e-9 * cos[6.00323720265 + 934.9485149682 * tau] + 3.05e-9 * cos[2.65927043884 + 355.7487455718 * tau] + 3.55e-9 * cos[5.44570491928 + 1685.0521225016 * tau] + 2.81e-9 * cos[0.77791302266 + 757.2171545342 * tau] + 2.94e-9 * cos[2.18552193901 + 444.7574381407 * tau] + 2.91e-9 * cos[3.12019266878 + 217.491881132 * tau] + 3.91e-9 * cos[2.59385552893 + 1795.258443721 * tau] + 3.05e-9 * cos[0.8240442342 + 1485.9801210652 * tau] + 3.30e-9 * cos[0.62529198264 + 358.9301393095 * tau] + 3.19e-9 * cos[4.31850876624 + 219.4494345923 * tau] + 4.05e-9 * cos[5.93402105921 + 173.9422195228 * tau] + 3.54e-9 * cos[2.79123486392 + 1581.959348283 * tau] + 3.69e-9 * cos[1.60095273908 + 56.6223513026 * tau] + 5.17e-9 * cos[3.44547026103 + 12.5301729722 * tau] + 4.43e-9 * cos[1.11051326413 + 425.1137181677 * tau] + 3.83e-9 * cos[3.58419227076 + 1045.1548361876 * tau] + 4.00e-9 * cos[5.1721647847 + 414.0680179038 * tau] + 3.92e-9 * cos[0.41137926465 + 302.164775655 * tau] + 4.69e-9 * cos[5.22622034028 + 942.062061969 * tau] + 4.77e-9 * cos[2.42483193385 + 216.2198567448 * tau] + 5.36e-9 * cos[1.08779067908 + 344.7030453079 * tau] + 4.42e-9 * cos[2.10204008144 + 416.3032501375 * tau] + 5.19e-9 * cos[0.61616177345 + 436.8931316145 * tau] + 4.76e-9 * cos[4.78513362967 + 218.9281697305 * tau] + 5.20e-9 * cos[1.15131866397 + 337.732510659 * tau] + 4.48e-9 * cos[0.57491120802 + 22.0914005278 * tau] + 5.66e-9 * cos[4.44740324446 + 429.0458714308 * tau] + 4.67e-9 * cos[4.47217820662 + 235.3904959658 * tau] + 6.44e-9 * cos[2.10955154583 + 1272.6810256272 * tau] + 5.02e-9 * cos[4.97423814367 + 212.5483359126 * tau] + 5.13e-9 * cos[2.5652596784 + 404.5067903482 * tau] + 5.82e-9 * cos[0.18811617696 + 1.4844727083 * tau] + 6.24e-9 * cos[2.30585779534 + 643.8294395771 * tau] + 7.01e-9 * cos[1.20410854661 + 479.2883889155 * tau] + 6.35e-9 * cos[4.76109030475 + 831.8557407496 * tau] + 6.02e-9 * cos[0.85288769518 + 225.8292684102 * tau] + 6.92e-9 * cos[0.87072324976 + 213.8203602998 * tau] + 7.57e-9 * cos[2.15030650611 + 207.8824694666 * tau] + 7.22e-9 * cos[0.04119071457 + 269.9214467406 * tau] + 6.33e-9 * cos[3.46145143241 + 18.1592472647 * tau] + 8.41e-9 * cos[2.46995220838 + 1375.7737998458 * tau] + 6.95e-9 * cos[1.32062509205 + 1169.5882514086 * tau] + 6.74e-9 * cos[5.63961963995 + 867.4234757536 * tau] + 8.38e-9 * cos[4.68035046143 + 288.0806940053 * tau] + 6.58e-9 * cos[0.32331118921 + 621.7380390493 * tau] + 7.69e-9 * cos[4.47368582271 + 52.6901980395 * tau] + 6.76e-9 * cos[4.436062709 + 842.1506814881 * tau] + 6.95e-9 * cos[0.37889317398 + 212.7778305762 * tau] + 6.91e-9 * cos[2.31682364985 + 160.6088973985 * tau] + 7.26e-9 * cos[4.52598413209 + 565.1156877467 * tau] + 7.03e-9 * cos[2.41479303782 + 10.2949407385 * tau] + 1.012e-8 * cos[5.97140626297 + 643.0786800517 * tau] + 7.95e-9 * cos[5.54574074566 + 76.2660712756 * tau] + 7.31e-9 * cos[0.81660632103 + 142.4496501338 * tau] + 9.11e-9 * cos[1.06795057723 + 650.9429865779 * tau] + 8.34e-9 * cos[6.12384852532 + 209.106309744 * tau] + 9.46e-9 * cos[5.72987725592 + 1368.660252845 * tau] + 9.71e-9 * cos[2.89404568581 + 563.6312150384 * tau] + 9.24e-9 * cos[3.64210508536 + 222.8603229936 * tau] + 7.81e-9 * cos[4.61973017912 + 424.1505103212 * tau] + 8.78e-9 * cos[6.24981924813 + 265.9892934775 * tau] + 8.29e-9 * cos[4.94182950387 + 497.4476361802 * tau] + 8.79e-9 * cos[1.19585734916 + 417.0369633204 * tau] + 1.005e-8 * cos[2.72373040634 + 1478.8665740644 * tau] + 8.87e-9 * cos[2.84483069917 + 191.9584544356 * tau] + 1.163e-8 * cos[6.00108996618 + 191.2076949102 * tau] + 1.012e-8 * cos[1.3721722064 + 636.7158925763 * tau] + 1.111e-8 * cos[0.70962013461 + 447.9388318784 * tau] + 1.067e-8 * cos[5.34734443894 + 207.6700211455 * tau] + 1.568e-8 * cos[1.89939852487 + 212.3358875915 * tau] + 1.251e-8 * cos[1.46674521697 + 218.7157214094 * tau] + 1.449e-8 * cos[4.00934078371 + 195.1398481733 * tau] + 1.236e-8 * cos[3.03659580871 + 838.9692877504 * tau] + 1.295e-8 * cos[2.46089213219 + 200.7689224658 * tau] + 1.164e-8 * cos[1.39531381032 + 210.3783341312 * tau] + 1.316e-8 * cos[5.30963570131 + 213.2509113282 * tau] + 1.563e-8 * cos[4.88438049382 + 208.633228992 * tau] + 1.287e-8 * cos[2.82247279651 + 231.4583427027 * tau] + 1.406e-8 * cos[0.34582712649 + 85.8272988312 * tau] + 1.291e-8 * cos[2.6233380107 + 554.0699874828 * tau] + 1.483e-8 * cos[0.91111666841 + 543.9180590962 * tau] + 1.307e-8 * cos[5.41748323885 + 217.964961884 * tau] + 1.321e-8 * cos[2.91534782718 + 1265.5674786264 * tau] + 1.317e-8 * cos[2.22386203585 + 213.3472795478 * tau] + 1.498e-8 * cos[5.87094430469 + 362.8622925726 * tau] + 1.405e-8 * cos[4.07880624509 + 728.762966531 * tau] + 1.645e-8 * cos[5.59115773632 + 483.2205421786 * tau] + 1.577e-8 * cos[4.02973226017 + 388.4651552382 * tau] + 1.583e-8 * cos[3.46882532865 + 38.1330356378 * tau] + 1.497e-8 * cos[3.1302689321 + 703.6331846174 * tau] + 1.786e-8 * cos[5.78644477326 + 635.9651330509 * tau] + 1.920e-8 * cos[3.77935901504 + 350.3321196004 * tau] + 1.582e-8 * cos[5.63360832372 + 214.2623032845 * tau] + 1.890e-8 * cos[0.41025631859 + 127.4717966068 * tau] + 1.851e-8 * cos[2.4547040929 + 340.7708920448 * tau] + 1.843e-8 * cos[0.22126910774 + 750.1036075334 * tau] + 2.202e-8 * cos[5.93027042684 + 1052.2683831884 * tau] + 1.635e-8 * cos[1.20387813348 + 88.865680217 * tau] + 1.769e-8 * cos[4.82294294946 + 1073.6090241908 * tau] + 2.088e-8 * cos[1.85721384366 + 138.5174968707 * tau] + 1.797e-8 * cos[1.56879308343 + 124.433415221 * tau] + 2.074e-8 * cos[1.65731069687 + 137.0330241624 * tau] + 2.146e-8 * cos[0.87500689888 + 408.4389436113 * tau] + 2.398e-8 * cos[3.99421633537 + 1279.794572628 * tau] + 2.168e-8 * cos[2.91805928238 + 203.0041546995 * tau] + 2.304e-8 * cos[2.73123930535 + 21.3406410024 * tau] + 2.992e-8 * cos[5.06312015437 + 515.463871093 * tau] + 2.644e-8 * cos[5.62559379305 + 203.7378678824 * tau] + 2.933e-8 * cos[2.06057834252 + 956.2891559706 * tau] + 3.522e-8 * cos[1.16093567319 + 223.5940361765 * tau] + 3.145e-8 * cos[2.51404811765 + 1162.4747044078 * tau] + 4.568e-8 * cos[4.33599514584 + 628.8515860501 * tau] + 3.554e-8 * cos[4.98621474362 + 3.9321532631 * tau] + 3.643e-8 * cos[1.73267151007 + 1059.3819301892 * tau] + 3.811e-8 * cos[2.63992803111 + 3.1813937377 * tau] + 3.959e-8 * cos[5.63505813057 + 210.8514148832 * tau] + 5.134e-8 * cos[3.81149834833 + 74.7815985673 * tau] + 6.824e-8 * cos[1.52456408861 + 437.6438911399 * tau] + 6.647e-8 * cos[3.90879134581 + 351.8165923087 * tau] + 5.994e-8 * cos[0.02442871989 + 654.1243803156 * tau] + 5.791e-8 * cos[5.36720639912 + 735.8765135318 * tau] + 6.056e-8 * cos[1.491150111 + 234.6397364404 * tau] + 7.251e-8 * cos[5.97098186912 + 149.5631971346 * tau] + 6.547e-8 * cos[3.01351967549 + 949.1756089698 * tau] + 8.958e-8 * cos[0.46482448501 + 429.7795846137 * tau] + 8.245e-8 * cos[4.68121931659 + 215.7467759928 * tau] + 8.079e-8 * cos[2.41931187953 + 430.5303441391 * tau] + 9.644e-8 * cos[1.74586356703 + 330.6189636582 * tau] + 1.2710e-7 * cos[0.29501589197 + 422.6660376129 * tau] + 9.946e-8 * cos[3.11650057543 + 625.6701923124 * tau] + 1.3027e-7 * cos[3.21731634178 + 277.0349937414 * tau] + 1.1883e-7 * cos[1.87308666696 + 423.4167971383 * tau] + 1.3137e-7 * cos[2.45991904379 + 490.3340891794 * tau] + 1.2832e-7 * cos[4.88898877901 + 522.5774180938 * tau] + 1.2842e-7 * cos[2.27059911053 + 742.9900605326 * tau] + 1.4601e-7 * cos[1.0075370497 + 536.8045120954 * tau] + 1.5316e-7 * cos[1.22393617996 + 63.7358983034 * tau] + 1.4947e-7 * cos[1.34302610607 + 95.9792272178 * tau] + 2.0851e-7 * cos[1.4099927374 + 309.2783226558 * tau] + 1.8100e-7 * cos[5.56392353608 + 860.3099287528 * tau] + 2.7128e-7 * cos[4.44228739187 + 11.0457002639 * tau] + 2.2805e-7 * cos[4.12923703368 + 415.5524906121 * tau] + 2.7282e-7 * cos[4.64744847591 + 1066.49547719 * tau] + 3.3114e-7 * cos[1.3055708001 + 412.3710968744 * tau] + 3.2164e-7 * cos[1.18676132343 + 846.0828347512 * tau] + 3.4041e-7 * cos[2.83971297997 + 117.3198682202 * tau] + 3.6163e-7 * cos[1.81851057689 + 224.3447957019 * tau] + 4.6386e-7 * cos[0.81534705304 + 440.8252848776 * tau] + 6.1024e-7 * cos[1.25273412095 + 209.3669421749 * tau] + 6.5161e-7 * cos[1.25527521313 + 216.4804891757 * tau] + 5.9281e-7 * cos[1.82410768234 + 323.5054166574 * tau] + 6.8658e-7 * cos[1.65537623146 + 202.2533951741 * tau] + 8.1010e-7 * cos[2.86038377187 + 14.2270940016 * tau] + 8.1759e-7 * cos[2.75839171353 + 210.1177017003 * tau] + 0.00000109839 * cos[2.45695551627 + 217.2312487011 * tau] + 0.0000015822 * cos[5.20850125766 + 110.2063212194 * tau] + 0.00000166237 * cos[2.44351613165 + 199.0720014364 * tau] + 0.00000127731 * cos[1.20711452525 + 529.6909650946 * tau] + 0.00000172359 * cos[0.05215146556 + 647.0108333148 * tau] + 0.00000297726 * cos[0.91909206723 + 632.7837393132 * tau] + 0.0000027509 * cos[3.88864137336 + 103.0927742186 * tau] + 0.00000292185 * cos[5.3157425127 + 853.196381752 * tau] + 0.00000284386 * cos[1.61881754773 + 227.5261894396 * tau] + 0.0000085263 * cos[0.43572078997 + 316.3918696566 * tau] + 0.00001290595 * cos[2.9177085709 + 7.1135470008 * tau] + 0.00001455309 * cos[0.85161616532 + 433.7117378768 * tau] + 0.00002716647 * cos[5.91166664787 + 639.897286314 * tau] + 0.00003757161 * cos[1.25429514018 + 419.4846438752 * tau] + 0.00009643981 * cos[1.6967466012 + 220.4126424388 * tau] + 0.00014800587 * cos[2.3058606052 + 206.1855484372 * tau] + 0.00018571607 * cos[6.09919206378 + 426.598190876 * tau] + 0.00049478641 * cos[3.14159265359 + 0.0 * tau] + 0.00397554998 * cos[5.33289992556 + 213.299095438 * tau]; B2 = 7.2e-10 * cos[5.47328223678 + 337.732510659 * tau] + 8.1e-10 * cos[1.16732337173 + 217.964961884 * tau] + 8.5e-10 * cos[0.18997660997 + 1258.4539316256 * tau] + 7.8e-10 * cos[3.17395501851 + 497.4476361802 * tau] + 8.0e-10 * cos[5.09103451442 + 340.7708920448 * tau] + 8.9e-10 * cos[2.54351587616 + 85.8272988312 * tau] + 1.11e-9 * cos[0.11975665259 + 831.8557407496 * tau] + 9.0e-10 * cos[2.09300085806 + 621.7380390493 * tau] + 9.5e-10 * cos[4.92115458463 + 650.9429865779 * tau] + 9.9e-10 * cos[4.57241894541 + 643.8294395771 * tau] + 1.31e-9 * cos[0.11496484259 + 1898.3512179396 * tau] + 1.20e-9 * cos[3.26968058035 + 1478.8665740644 * tau] + 1.25e-9 * cos[4.82446274394 + 436.8931316145 * tau] + 1.50e-9 * cos[5.71949902293 + 618.5566453116 * tau] + 1.49e-9 * cos[0.85459831932 + 1375.7737998458 * tau] + 1.36e-9 * cos[3.38453909352 + 1155.361157407 * tau] + 1.20e-9 * cos[3.70151294359 + 416.3032501375 * tau] + 1.37e-9 * cos[5.50046852846 + 1169.5882514086 * tau] + 1.43e-9 * cos[2.31969979791 + 18.1592472647 * tau] + 2.17e-9 * cos[4.65210162713 + 750.1036075334 * tau] + 2.20e-9 * cos[1.03443668151 + 483.2205421786 * tau] + 1.72e-9 * cos[3.8317349403 + 1581.959348283 * tau] + 1.83e-9 * cos[3.38184740572 + 636.7158925763 * tau] + 2.46e-9 * cos[5.62469599682 + 351.8165923087 * tau] + 1.91e-9 * cos[0.17807919948 + 628.8515860501 * tau] + 2.57e-9 * cos[3.69107889837 + 867.4234757536 * tau] + 2.38e-9 * cos[0.49997895983 + 10.2949407385 * tau] + 2.38e-9 * cos[4.02925601887 + 643.0786800517 * tau] + 2.29e-9 * cos[4.19748765966 + 1265.5674786264 * tau] + 2.88e-9 * cos[1.32449995239 + 203.7378678824 * tau] + 2.37e-9 * cos[1.27761853769 + 231.4583427027 * tau] + 3.09e-9 * cos[5.4492117596 + 543.9180590962 * tau] + 2.54e-9 * cos[0.16694559092 + 195.1398481733 * tau] + 2.59e-9 * cos[3.76206113036 + 635.9651330509 * tau] + 2.62e-9 * cos[2.04320741578 + 1471.7530270636 * tau] + 2.90e-9 * cos[3.99300398632 + 1162.4747044078 * tau] + 3.28e-9 * cos[0.11893501088 + 956.2891559706 * tau] + 3.77e-9 * cos[5.20131800999 + 74.7815985673 * tau] + 4.04e-9 * cos[4.58953258519 + 302.164775655 * tau] + 3.80e-9 * cos[5.28045750432 + 1052.2683831884 * tau] + 4.58e-9 * cos[1.17998315936 + 210.8514148832 * tau] + 4.94e-9 * cos[4.04363805503 + 490.3340891794 * tau] + 4.82e-9 * cos[4.68234512154 + 838.9692877504 * tau] + 5.03e-9 * cos[5.73762297081 + 728.762966531 * tau] + 5.19e-9 * cos[1.76641574095 + 1279.794572628 * tau] + 5.89e-9 * cos[5.79268515755 + 63.7358983034 * tau] + 5.11e-9 * cos[2.86838724347 + 408.4389436113 * tau] + 5.26e-9 * cos[2.24947851818 + 1059.3819301892 * tau] + 6.98e-9 * cos[2.91371419321 + 1073.6090241908 * tau] + 7.12e-9 * cos[6.05964117622 + 11.0457002639 * tau] + 5.79e-9 * cos[0.65329445948 + 3.1813937377 * tau] + 6.69e-9 * cos[0.08457977809 + 215.7467759928 * tau] + 6.04e-9 * cos[2.95749705544 + 88.865680217 * tau] + 6.94e-9 * cos[5.23748122403 + 447.9388318784 * tau] + 8.10e-9 * cos[0.46198177342 + 515.463871093 * tau] + 6.90e-9 * cos[5.44243765037 + 437.6438911399 * tau] + 7.12e-9 * cos[4.45550701473 + 191.9584544356 * tau] + 6.93e-9 * cos[6.03599130692 + 124.433415221 * tau] + 9.39e-9 * cos[1.35429452093 + 742.9900605326 * tau] + 8.68e-9 * cos[4.84623483952 + 949.1756089698 * tau] + 1.105e-8 * cos[1.01595427676 + 21.3406410024 * tau] + 1.231e-8 * cos[0.2511593188 + 3.9321532631 * tau] + 1.172e-8 * cos[4.71017775994 + 203.0041546995 * tau] + 1.607e-8 * cos[5.535995501 + 224.3447957019 * tau] + 1.457e-8 * cos[4.47767649852 + 430.5303441391 * tau] + 1.550e-8 * cos[5.60375604692 + 223.5940361765 * tau] + 1.814e-8 * cos[5.05675881426 + 277.0349937414 * tau] + 1.758e-8 * cos[5.53430456858 + 536.8045120954 * tau] + 2.304e-8 * cos[6.25081073546 + 330.6189636582 * tau] + 2.112e-8 * cos[4.55964179603 + 422.6660376129 * tau] + 2.419e-8 * cos[0.02986335489 + 415.5524906121 * tau] + 2.610e-8 * cos[3.29126967191 + 95.9792272178 * tau] + 2.573e-8 * cos[0.22467245054 + 522.5774180938 * tau] + 2.817e-8 * cos[4.47516563908 + 654.1243803156 * tau] + 2.831e-8 * cos[4.81642822334 + 429.7795846137 * tau] + 2.578e-8 * cos[5.63610668746 + 735.8765135318 * tau] + 3.387e-8 * cos[6.04222745633 + 234.6397364404 * tau] + 3.398e-8 * cos[3.76732731354 + 423.4167971383 * tau] + 3.612e-8 * cos[4.79935735435 + 625.6701923124 * tau] + 4.231e-8 * cos[3.02212363572 + 846.0828347512 * tau] + 6.192e-8 * cos[3.61231886519 + 860.3099287528 * tau] + 5.590e-8 * cos[2.47783944511 + 1066.49547719 * tau] + 6.648e-8 * cos[5.55714129949 + 209.3669421749 * tau] + 5.891e-8 * cos[3.58260177246 + 309.2783226558 * tau] + 6.312e-8 * cos[1.16121321336 + 117.3198682202 * tau] + 6.599e-8 * cos[0.28766025146 + 323.5054166574 * tau] + 7.963e-8 * cos[3.3151242392 + 202.2533951741 * tau] + 1.1567e-7 * cos[2.5267992841 + 529.6909650946 * tau] + 1.3613e-7 * cos[2.99904334066 + 412.3710968744 * tau] + 1.6840e-7 * cos[5.68112084135 + 216.4804891757 * tau] + 1.5742e-7 * cos[4.25767226302 + 103.0927742186 * tau] + 1.8263e-7 * cos[0.85391476786 + 110.2063212194 * tau] + 1.9532e-7 * cos[5.30779711223 + 440.8252848776 * tau] + 2.0511e-7 * cos[4.35095844197 + 217.2312487011 * tau] + 2.3969e-7 * cos[1.11595912146 + 14.2270940016 * tau] + 2.8602e-7 * cos[4.52978327558 + 210.1177017003 * tau] + 4.1373e-7 * cos[3.15927770079 + 853.196381752 * tau] + 4.8961e-7 * cos[4.43390206741 + 647.0108333148 * tau] + 5.1927e-7 * cos[2.88364833898 + 632.7837393132 * tau] + 7.1242e-7 * cos[4.14754353431 + 199.0720014364 * tau] + 9.2961e-7 * cos[1.97994412845 + 316.3918696566 * tau] + 0.0000010398 * cos[6.15730992966 + 227.5261894396 * tau] + 0.00000139393 * cos[1.04272623499 + 7.1135470008 * tau] + 0.00000219335 * cos[3.82841533795 + 639.897286314 * tau] + 0.00000329632 * cos[5.27899210039 + 433.7117378768 * tau] + 0.00000365042 * cos[5.09928680706 + 426.598190876 * tau] + 0.00000705842 * cos[3.03914308836 + 419.4846438752 * tau] + 0.00001346067 * cos[0.0 + 0.0 * tau] + 0.00001627158 * cos[6.181899395 + 220.4126424388 * tau] + 0.00003719555 * cos[3.99833475829 + 206.1855484372 * tau] + 0.00020629977 * cos[0.50482422817 + 213.299095438 * tau]; B3 = 8.4e-10 * cos[4.10158366806 + 224.3447957019 * tau] + 8.5e-10 * cos[1.18898817378 + 728.762966531 * tau] + 7.7e-10 * cos[6.04074586787 + 838.9692877504 * tau] + 8.5e-10 * cos[5.11102520704 + 3.9321532631 * tau] + 8.4e-10 * cos[2.53842533109 + 422.6660376129 * tau] + 1.10e-9 * cos[2.21197473966 + 515.463871093 * tau] + 9.7e-10 * cos[0.91303450276 + 1073.6090241908 * tau] + 1.00e-9 * cos[0.03596545368 + 949.1756089698 * tau] + 1.51e-9 * cos[3.82010884134 + 536.8045120954 * tau] + 1.45e-9 * cos[4.79689259614 + 88.865680217 * tau] + 1.94e-9 * cos[4.21193801453 + 124.433415221 * tau] + 2.04e-9 * cos[1.54683820621 + 209.3669421749 * tau] + 2.84e-9 * cos[0.66224572127 + 203.0041546995 * tau] + 3.05e-9 * cos[5.97746884029 + 302.164775655 * tau] + 2.31e-9 * cos[4.15697626494 + 110.2063212194 * tau] + 2.58e-9 * cos[3.69110118716 + 447.9388318784 * tau] + 2.41e-9 * cos[1.7033512018 + 522.5774180938 * tau] + 2.45e-9 * cos[5.8161825325 + 423.4167971383 * tau] + 2.81e-9 * cos[1.14133888637 + 735.8765135318 * tau] + 3.67e-9 * cos[5.0319092968 + 846.0828347512 * tau] + 3.84e-9 * cos[4.48187414769 + 330.6189636582 * tau] + 3.77e-9 * cos[5.25624813434 + 95.9792272178 * tau] + 3.32e-9 * cos[5.4937089057 + 21.3406410024 * tau] + 3.79e-9 * cos[3.74436004151 + 223.5940361765 * tau] + 5.05e-9 * cos[4.51905764563 + 323.5054166574 * tau] + 3.90e-9 * cos[6.11288036049 + 191.9584544356 * tau] + 4.62e-9 * cos[4.17742567173 + 529.6909650946 * tau] + 5.09e-9 * cos[2.86079833766 + 429.7795846137 * tau] + 8.97e-9 * cos[2.65577866867 + 654.1243803156 * tau] + 7.73e-9 * cos[5.4836198199 + 202.2533951741 * tau] + 7.13e-9 * cos[0.21700311697 + 625.6701923124 * tau] + 7.33e-9 * cos[0.59842720676 + 1066.49547719 * tau] + 7.95e-9 * cos[5.69026441157 + 117.3198682202 * tau] + 1.157e-8 * cos[5.75027789902 + 309.2783226558 * tau] + 1.217e-8 * cos[4.30778838827 + 234.6397364404 * tau] + 1.435e-8 * cos[1.69177141453 + 860.3099287528 * tau] + 1.991e-8 * cos[6.10867071657 + 217.2312487011 * tau] + 2.173e-8 * cos[3.71982274459 + 216.4804891757 * tau] + 2.851e-8 * cos[0.62679207578 + 103.0927742186 * tau] + 3.548e-8 * cos[4.7129937089 + 412.3710968744 * tau] + 5.542e-8 * cos[3.51756747774 + 440.8252848776 * tau] + 4.501e-8 * cos[1.2242441901 + 853.196381752 * tau] + 4.881e-8 * cos[5.63719730884 + 14.2270940016 * tau] + 5.778e-8 * cos[0.01680378777 + 210.1177017003 * tau] + 6.002e-8 * cos[4.80055225135 + 632.7837393132 * tau] + 7.085e-8 * cos[3.45518372721 + 316.3918696566 * tau] + 9.590e-8 * cos[2.54901825866 + 647.0108333148 * tau] + 1.0874e-7 * cos[5.37344546547 + 7.1135470008 * tau] + 1.8081e-7 * cos[1.99321433229 + 639.897286314 * tau] + 2.0551e-7 * cos[5.85313509872 + 199.0720014364 * tau] + 2.5661e-7 * cos[4.40167213109 + 227.5261894396 * tau] + 5.1548e-7 * cos[3.42149490328 + 433.7117378768 * tau] + 4.2369e-7 * cos[2.38073239056 + 426.598190876 * tau] + 9.1884e-7 * cos[4.84104208217 + 419.4846438752 * tau] + 0.00000187838 * cos[4.33779804809 + 220.4126424388 * tau] + 0.00000398051 * cos[0.0 + 0.0 * tau] + 0.0000063235 * cos[5.69778316807 + 206.1855484372 * tau] + 0.00000666252 * cos[1.99006340181 + 213.299095438 * tau]; B4 = 1.15e-9 * cos[0.44589613974 + 110.2063212194 * tau] + 1.15e-9 * cos[5.03884718594 + 117.3198682202 * tau] + 1.12e-9 * cos[0.85526419268 + 654.1243803156 * tau] + 1.00e-9 * cos[1.98534903594 + 625.6701923124 * tau] + 1.59e-9 * cos[5.95049154821 + 216.4804891757 * tau] + 1.72e-9 * cos[6.09682874401 + 860.3099287528 * tau] + 2.36e-9 * cos[2.11084590211 + 210.1177017003 * tau] + 1.97e-9 * cos[5.39156324804 + 316.3918696566 * tau] + 2.70e-9 * cos[2.50125594913 + 234.6397364404 * tau] + 3.43e-9 * cos[5.86413875355 + 853.196381752 * tau] + 5.09e-9 * cos[0.31432285584 + 412.3710968744 * tau] + 4.56e-9 * cos[0.47338193402 + 632.7837393132 * tau] + 6.55e-9 * cos[3.49486258327 + 7.1135470008 * tau] + 6.82e-9 * cos[3.8484109818 + 14.2270940016 * tau] + 1.145e-8 * cos[1.72041928134 + 440.8252848776 * tau] + 1.075e-8 * cos[6.18092274059 + 639.897286314 * tau] + 1.424e-8 * cos[0.66988083613 + 647.0108333148 * tau] + 1.487e-8 * cos[1.43096671616 + 426.598190876 * tau] + 4.775e-8 * cos[2.63498295487 + 227.5261894396 * tau] + 4.660e-8 * cos[1.2823563957 + 199.0720014364 * tau] + 6.164e-8 * cos[1.56186379537 + 433.7117378768 * tau] + 9.005e-8 * cos[0.38441424927 + 419.4846438752 * tau] + 1.1844e-7 * cos[3.14159265359 + 0.0 * tau] + 1.7143e-7 * cos[2.48073200414 + 220.4126424388 * tau] + 3.1660e-7 * cos[3.12218745098 + 213.299095438 * tau] + 8.0384e-7 * cos[1.11918414679 + 206.1855484372 * tau]; B5 = 8.9e-10 * cos[0.5839686453 + 213.299095438 * tau] + 8.8e-10 * cos[6.17828532308 + 440.8252848776 * tau] + 9.1e-10 * cos[5.81659714144 + 7.1135470008 * tau] + 9.8e-10 * cos[5.10622131539 + 647.0108333148 * tau] + 4.45e-9 * cos[2.38630799074 + 419.4846438752 * tau] + 5.88e-9 * cos[0.78008666397 + 227.5261894396 * tau] + 5.83e-9 * cos[5.96456944075 + 433.7117378768 * tau] + 9.67e-9 * cos[3.14159265359 + 0.0 * tau] + 7.72e-9 * cos[2.99484124049 + 199.0720014364 * tau] + 1.014e-8 * cos[0.5118721027 + 220.4126424388 * tau] + 7.895e-8 * cos[2.81927558645 + 206.1855484372 * tau]; R0 = 7.35e-9 * cos[3.05650026582 + 66.9172920411 * tau] + 8.27e-9 * cos[2.59300433753 + 232.942815411 * tau] + 8.23e-9 * cos[3.50224755884 + 877.5754041402 * tau] + 6.89e-9 * cos[6.14296395253 + 622.4887985747 * tau] + 6.84e-9 * cos[4.8844227063 + 2545.3620512544 * tau] + 7.05e-9 * cos[0.57839934869 + 1053.7528558967 * tau] + 8.20e-9 * cos[1.87877245664 + 499.895316735 * tau] + 7.67e-9 * cos[0.1208184965 + 485.8806710545 * tau] + 7.14e-9 * cos[5.38707933404 + 567.8240007324 * tau] + 6.90e-9 * cos[5.8668131138 + 316.1794213355 * tau] + 6.94e-9 * cos[3.07863807714 + 316.6043179777 * tau] + 6.92e-9 * cos[3.38736418117 + 6489.2613984286 * tau] + 8.28e-9 * cos[5.86080569334 + 845.1196269047 * tau] + 8.04e-9 * cos[1.079984374 + 89.0086925689 * tau] + 6.95e-9 * cos[4.78088165969 + 10419.4710946482 * tau] + 8.61e-9 * cos[1.84312374221 + 984.6003316219 * tau] + 7.47e-9 * cos[1.40599730465 + 782.3469364478 * tau] + 7.31e-9 * cos[6.11847213487 + 1239.5439248355 * tau] + 7.55e-9 * cos[3.94580797273 + 451.7279727896 * tau] + 8.09e-9 * cos[3.56474059969 + 845.3320752258 * tau] + 7.05e-9 * cos[5.40102118863 + 1193.9672737968 * tau] + 7.70e-9 * cos[5.89605163084 + 156.6767441354 * tau] + 7.24e-9 * cos[2.30837674225 + 949.12742486 * tau] + 8.14e-9 * cos[5.19337022083 + 948.2124011233 * tau] + 9.70e-9 * cos[2.32204039048 + 566.600160455 * tau] + 7.22e-9 * cos[4.16734185316 + 232.2091022281 * tau] + 7.88e-9 * cos[0.99170388242 + 121.8427223143 * tau] + 7.22e-9 * cos[3.96121088528 + 1474.9344208013 * tau] + 7.20e-9 * cos[0.4096104103 + 522.6256022036 * tau] + 8.32e-9 * cos[4.19686348297 + 29.2049475286 * tau] + 7.51e-9 * cos[0.92289775523 + 1884.124123938 * tau] + 7.83e-9 * cos[4.50805467439 + 1151.4290041439 * tau] + 8.52e-9 * cos[3.11058720799 + 232.4215505492 * tau] + 7.29e-9 * cos[4.94931618796 + 476.1069951778 * tau] + 7.97e-9 * cos[5.14322789256 + 473.659314623 * tau] + 8.51e-9 * cos[6.1227286454 + 1475.6851803267 * tau] + 1.033e-8 * cos[1.0013799327 + 134.1122628556 * tau] + 7.53e-9 * cos[0.04254534997 + 1534.7381658416 * tau] + 8.99e-9 * cos[1.85252071775 + 835.7878940127 * tau] + 7.84e-9 * cos[1.14096100609 + 551.031606097 * tau] + 7.55e-9 * cos[4.90024080821 + 532.8723588323 * tau] + 9.39e-9 * cos[3.68460642343 + 817.7716590999 * tau] + 8.95e-9 * cos[5.83218231202 + 4539.6924964118 * tau] + 9.29e-9 * cos[0.71906225883 + 740.2817475469 * tau] + 8.18e-9 * cos[2.5260962654 + 26301.2022370122 * tau] + 8.39e-9 * cos[5.68124142701 + 2620.0006374698 * tau] + 7.63e-9 * cos[0.05577842075 + 846.131018861 * tau] + 9.62e-9 * cos[0.30590569897 + 229.340730548 * tau] + 8.45e-9 * cos[4.21602090805 + 2648.454825473 * tau] + 7.74e-9 * cos[3.7605063931 + 219.1406180516 * tau] + 7.86e-9 * cos[3.84829878956 + 194.3890886479 * tau] + 9.97e-9 * cos[0.24589891452 + 439.9315130003 * tau] + 1.092e-8 * cos[0.5815374794 + 203.2647871304 * tau] + 9.77e-9 * cos[1.50925667031 + 186.472392495 * tau] + 9.66e-9 * cos[4.55013458162 + 9360.089164459 * tau] + 1.067e-8 * cos[4.69271921916 + 559.6990617753 * tau] + 8.51e-9 * cos[4.64229745145 + 4105.980758535 * tau] + 8.87e-9 * cos[4.23752031714 + 3553.9115221378 * tau] + 8.42e-9 * cos[5.04957483651 + 444.1242986943 * tau] + 7.91e-9 * cos[2.21809404489 + 110.4187695405 * tau] + 7.93e-9 * cos[5.01131700831 + 109.9938728983 * tau] + 8.62e-9 * cos[3.24167644516 + 427.8702152632 * tau] + 9.05e-9 * cos[5.43093361027 + 236.8749686741 * tau] + 9.58e-9 * cos[1.35525670354 + 1201.831580323 * tau] + 8.15e-9 * cos[5.95428642326 + 321.0577361026 * tau] + 8.87e-9 * cos[3.46938383985 + 1748.788020805 * tau] + 8.62e-9 * cos[3.35273419872 + 425.3261664888 * tau] + 8.41e-9 * cos[2.42616504698 + 625.8826406335 * tau] + 8.21e-9 * cos[0.74694467095 + 1152.1797636693 * tau] + 9.21e-9 * cos[0.18441593712 + 3803.81598288 * tau] + 8.78e-9 * cos[2.67671626912 + 688.6553310904 * tau] + 8.68e-9 * cos[1.89151676387 + 627.1546650207 * tau] + 8.28e-9 * cos[0.28399876908 + 338.4832701844 * tau] + 8.51e-9 * cos[5.14029961564 + 802.7938055729 * tau] + 9.82e-9 * cos[3.39082880963 + 521.6142102473 * tau] + 8.53e-9 * cos[6.23618175592 + 938.8806682313 * tau] + 1.036e-8 * cos[3.11936047271 + 5429.8794682394 * tau] + 8.56e-9 * cos[0.81593288669 + 907.3710524998 * tau] + 1.158e-8 * cos[3.33343863758 + 6290.1893969922 * tau] + 8.36e-9 * cos[3.02501867546 + 387.2413149608 * tau] + 9.18e-9 * cos[0.21424702155 + 373.0142209592 * tau] + 1.037e-8 * cos[5.91424823262 + 11.3063326948 * tau] + 8.61e-9 * cos[5.69790389801 + 103.843533744 * tau] + 9.57e-9 * cos[3.1291404701 + 628.5909536192 * tau] + 1.190e-8 * cos[5.5896536965 + 2810.9214616052 * tau] + 8.60e-9 * cos[0.49220052417 + 64.9597385808 * tau] + 1.158e-8 * cos[5.4332220911 + 1089.129394439 * tau] + 8.66e-9 * cos[4.04792682992 + 522.529233984 * tau] + 9.35e-9 * cos[1.45887009044 + 1042.9196039539 * tau] + 8.64e-9 * cos[4.71917415767 + 620.253566341 * tau] + 1.218e-8 * cos[0.18349810348 + 1090.4014188262 * tau] + 1.235e-8 * cos[1.23871819142 + 357.2332182801 * tau] + 9.10e-9 * cos[4.08904906301 + 3333.498879699 * tau] + 9.96e-9 * cos[0.76740358631 + 733.428832977 * tau] + 1.029e-8 * cos[4.90620832171 + 19.1224551112 * tau] + 1.226e-8 * cos[3.52834223937 + 80.4106728598 * tau] + 1.004e-8 * cos[1.73116475997 + 10316.3783204296 * tau] + 9.67e-9 * cos[5.86215202069 + 13.3333221243 * tau] + 8.90e-9 * cos[2.12933822393 + 3384.3313390048 * tau] + 1.130e-8 * cos[5.49282680494 + 92.940845832 * tau] + 9.26e-9 * cos[3.35110915055 + 635.70450062 * tau] + 8.90e-9 * cos[4.03192782386 + 1314.3255234028 * tau] + 1.042e-8 * cos[1.10027795842 + 1518.2234499796 * tau] + 8.93e-9 * cos[5.25155704274 + 475.3562356524 * tau] + 9.24e-9 * cos[5.70601816488 + 614.8369403696 * tau] + 1.138e-8 * cos[2.92901543353 + 1037.2905296614 * tau] + 1.224e-8 * cos[1.73535287415 + 5120.6011455836 * tau] + 8.95e-9 * cos[6.09245508513 + 316.551928351 * tau] + 1.005e-8 * cos[6.12431717236 + 6275.9623029906 * tau] + 1.008e-8 * cos[5.78024010734 + 502.8642621516 * tau] + 8.97e-9 * cos[2.81660605059 + 316.2318109622 * tau] + 9.64e-9 * cos[3.609037159 + 3281.2385647862 * tau] + 9.65e-9 * cos[4.98927479154 + 394.3548619616 * tau] + 1.039e-8 * cos[2.40020830681 + 6475.0393049624 * tau] + 9.15e-9 * cos[5.96624579967 + 1987.2168981566 * tau] + 9.15e-9 * cos[4.87266214195 + 18.9100067901 * tau] + 1.132e-8 * cos[4.5542002715 + 1912.5783119412 * tau] + 1.092e-8 * cos[4.51789158271 + 532.1386456494 * tau] + 1.134e-8 * cos[5.87478488618 + 6058.7310542895 * tau] + 9.77e-9 * cos[1.26684849112 + 104.5772469269 * tau] + 9.38e-9 * cos[1.18273838991 + 254.3528923826 * tau] + 9.12e-9 * cos[4.14451390992 + 469.7271613599 * tau] + 9.28e-9 * cos[5.22236951137 + 1173.5204046717 * tau] + 9.79e-9 * cos[3.74615289445 + 700.4517908797 * tau] + 9.82e-9 * cos[3.02842195594 + 347.4113582936 * tau] + 1.079e-8 * cos[4.95981991427 + 631.8205314667 * tau] + 1.024e-8 * cos[1.90798238649 + 1175.8080265321 * tau] + 9.89e-9 * cos[4.11575312649 + 413.8555695827 * tau] + 1.011e-8 * cos[5.42685471402 + 110.7275860812 * tau] + 9.81e-9 * cos[2.37620383333 + 35.212274331 * tau] + 1.009e-8 * cos[6.15037679495 + 401.3253966105 * tau] + 1.082e-8 * cos[0.99548769517 + 4.1446015842 * tau] + 9.67e-9 * cos[1.56852913547 + 157.6399519819 * tau] + 1.006e-8 * cos[5.89037944896 + 10007.0999977738 * tau] + 1.138e-8 * cos[4.31859245106 + 98.4269077726 * tau] + 1.060e-8 * cos[4.36236322604 + 633.305004175 * tau] + 1.142e-8 * cos[1.06057209808 + 369.9758395734 * tau] + 9.76e-9 * cos[1.05304205075 + 8.3373872782 * tau] + 9.53e-9 * cos[0.79704964354 + 16.4623262353 * tau] + 9.86e-9 * cos[3.71830385737 + 1235.6117715724 * tau] + 1.166e-8 * cos[6.14999706886 + 737.3128021303 * tau] + 1.096e-8 * cos[3.04685199735 + 608.404716925 * tau] + 9.65e-9 * cos[0.05396772193 + 962.5089310941 * tau] + 1.171e-8 * cos[0.42265751679 + 10011.0321510369 * tau] + 9.67e-9 * cos[3.84645372731 + 604.4725636619 * tau] + 1.342e-8 * cos[1.55614528399 + 498.9321088885 * tau] + 1.218e-8 * cos[4.61739999906 + 990.2294059144 * tau] + 1.041e-8 * cos[2.36429894351 + 821.5437536686 * tau] + 1.050e-8 * cos[3.26096036982 + 159.7151255212 * tau] + 1.050e-8 * cos[3.88449467091 + 632.2624744514 * tau] + 9.71e-9 * cos[3.38563950019 + 306.0969289181 * tau] + 9.76e-9 * cos[1.83523959034 + 5.8897067234 * tau] + 1.108e-8 * cos[1.28177889943 + 294.3004691288 * tau] + 1.004e-8 * cos[5.33434806968 + 46.2097904851 * tau] + 1.174e-8 * cos[5.43253033568 + 849.2642284889 * tau] + 1.174e-8 * cos[6.04352585298 + 225.0785088848 * tau] + 1.275e-8 * cos[1.95417923977 + 757.8078553652 * tau] + 9.90e-9 * cos[1.32621236288 + 1268.7488723641 * tau] + 1.002e-8 * cos[1.39171012432 + 1251.3403846248 * tau] + 1.033e-8 * cos[3.75433174131 + 414.8187774292 * tau] + 9.99e-9 * cos[5.95030119388 + 3906.9087570986 * tau] + 1.178e-8 * cos[0.47169015111 + 495.9631634719 * tau] + 1.014e-8 * cos[5.79119811472 + 6460.8122109608 * tau] + 1.327e-8 * cos[4.758850089 + 321.808495628 * tau] + 1.318e-8 * cos[0.6026917613 + 1123.1178284926 * tau] + 1.214e-8 * cos[0.81213286478 + 1773.9178027186 * tau] + 1.004e-8 * cos[3.5425959786 + 754.0357607965 * tau] + 1.028e-8 * cos[5.9212831945 + 108.50940019 * tau] + 9.96e-9 * cos[1.60533807224 + 426.4381321816 * tau] + 9.96e-9 * cos[4.99081076034 + 426.7582495704 * tau] + 1.108e-8 * cos[5.88857586823 + 657.1627617014 * tau] + 1.064e-8 * cos[4.65334775068 + 201.9927627432 * tau] + 1.402e-8 * cos[4.82957073563 + 883.7951792637 * tau] + 1.197e-8 * cos[0.79148395839 + 9580.5018068978 * tau] + 1.008e-8 * cos[5.19594380826 + 316.1312372257 * tau] + 1.065e-8 * cos[3.98884050015 + 683.1863154923 * tau] + 1.398e-8 * cos[1.55232715558 + 25771.5112719176 * tau] + 1.322e-8 * cos[2.81015928946 + 223.3334037456 * tau] + 1.072e-8 * cos[0.73647405514 + 1482.7987273275 * tau] + 1.112e-8 * cos[6.07617329506 + 870.4618571394 * tau] + 1.082e-8 * cos[4.07686503205 + 1245.172999128 * tau] + 1.415e-8 * cos[4.85796248007 + 2332.0629558164 * tau] + 1.061e-8 * cos[3.38604454777 + 27.0873353739 * tau] + 1.083e-8 * cos[5.04862249728 + 629.8629780064 * tau] + 1.064e-8 * cos[5.95222326171 + 1144.3154571431 * tau] + 1.382e-8 * cos[0.51603096285 + 774.0095491696 * tau] + 1.181e-8 * cos[5.22299379363 + 1459.9565672743 * tau] + 1.252e-8 * cos[5.28238896229 + 6080.8224548173 * tau] + 1.069e-8 * cos[2.37188773221 + 848.530515306 * tau] + 1.027e-8 * cos[0.16330222064 + 229.7614216733 * tau] + 1.122e-8 * cos[5.7216130664 + 78263.70942472259 * tau] + 1.251e-8 * cos[1.16783030789 + 455.1699989582 * tau] + 1.047e-8 * cos[4.58416926615 + 89.7594520943 * tau] + 1.127e-8 * cos[0.84707518843 + 48.7580447764 * tau] + 1.190e-8 * cos[4.49552956868 + 429.3065038617 * tau] + 1.293e-8 * cos[0.02397468965 + 2723.0934116884 * tau] + 1.087e-8 * cos[4.81206824168 + 109.6850563576 * tau] + 1.078e-8 * cos[1.75579678521 + 1457.525933062 * tau] + 1.095e-8 * cos[0.97418295319 + 1159.2933106701 * tau] + 1.080e-8 * cos[3.49168860514 + 847.0460425977 * tau] + 1.087e-8 * cos[5.46774426742 + 494.4786907636 * tau] + 1.175e-8 * cos[0.91096377814 + 740.0692992258 * tau] + 1.080e-8 * cos[3.96349373526 + 118.8737768977 * tau] + 1.217e-8 * cos[2.49656109071 + 311.7260032106 * tau] + 1.188e-8 * cos[2.10062104535 + 423.8898778903 * tau] + 1.127e-8 * cos[3.6345849801 + 582.3811631341 * tau] + 1.058e-8 * cos[0.73824266822 + 670.916774951 * tau] + 1.265e-8 * cos[5.85587479852 + 82.8583534146 * tau] + 1.055e-8 * cos[5.5372537326 + 1578.7779545453 * tau] + 1.248e-8 * cos[0.21625135029 + 101.6083015103 * tau] + 1.277e-8 * cos[5.42029902662 + 9996.0542975099 * tau] + 1.464e-8 * cos[4.54056066665 + 1248.1419445446 * tau] + 1.094e-8 * cos[5.12244388591 + 314.3861320865 * tau] + 1.082e-8 * cos[1.966110692 + 3700.7232086614 * tau] + 1.295e-8 * cos[2.32056477953 + 10003.9186040361 * tau] + 1.216e-8 * cos[0.49809632153 + 1178.9894202698 * tau] + 1.146e-8 * cos[0.18236094571 + 6386.16862421 * tau] + 1.108e-8 * cos[6.03201954623 + 206.4461808681 * tau] + 1.136e-8 * cos[1.35127769399 + 205.9249160063 * tau] + 1.098e-8 * cos[3.75659421786 + 318.3976072267 * tau] + 1.085e-8 * cos[1.15969472512 + 398.2870152247 * tau] + 1.373e-8 * cos[0.89371361814 + 799.6124118352 * tau] + 1.142e-8 * cos[5.36157631813 + 199.0238173266 * tau] + 1.224e-8 * cos[4.2299482253 + 827.1728279611 * tau] + 1.085e-8 * cos[0.70231952018 + 1166.4068576709 * tau] + 1.347e-8 * cos[4.11616699496 + 97.4636999261 * tau] + 1.304e-8 * cos[5.24544813643 + 5650.2921106782 * tau] + 1.527e-8 * cos[1.09983755253 + 683.0262567979 * tau] + 1.150e-8 * cos[4.6914056969 + 1.2720243872 * tau] + 1.177e-8 * cos[3.88159541809 + 128.3655684841 * tau] + 1.109e-8 * cos[2.9580840286 + 1091.6252591036 * tau] + 1.314e-8 * cos[0.15326588489 + 493.303034596 * tau] + 1.114e-8 * cos[3.43048279234 + 771.3012361839 * tau] + 1.425e-8 * cos[2.65840274172 + 1253.7710188371 * tau] + 1.136e-8 * cos[3.13253323524 + 611.4430983108 * tau] + 1.244e-8 * cos[1.93187654929 + 623.2225117576 * tau] + 1.142e-8 * cos[4.35845106342 + 1834.6153196362 * tau] + 1.163e-8 * cos[5.75528918663 + 2303.6087678132 * tau] + 1.131e-8 * cos[1.56474593118 + 196.8367692027 * tau] + 1.366e-8 * cos[3.99684537321 + 6065.8446012903 * tau] + 1.470e-8 * cos[1.58708185256 + 409.1897031367 * tau] + 1.228e-8 * cos[4.55057016747 + 680.0573113813 * tau] + 1.385e-8 * cos[0.89711064123 + 6073.7089078165 * tau] + 1.145e-8 * cos[2.26067253357 + 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cos[0.33845094634 + 214.9436268407 * tau] + 1.884e-8 * cos[4.2444781245 + 13.4933808187 * tau] + 1.651e-8 * cos[3.20586624475 + 281.1795953256 * tau] + 1.686e-8 * cos[2.12870436615 + 491.5579294568 * tau] + 1.733e-8 * cos[5.96815907422 + 837.6972633632 * tau] + 1.939e-8 * cos[3.43927826945 + 102.5715093568 * tau] + 1.669e-8 * cos[4.44620549295 + 4319.279853973 * tau] + 2.334e-8 * cos[1.51845210531 + 170.0100662597 * tau] + 1.744e-8 * cos[3.4525618329 + 238.5718897035 * tau] + 1.698e-8 * cos[0.72475212282 + 295.1942410061 * tau] + 1.790e-8 * cos[4.8006297772 + 3576.2897934404 * tau] + 1.831e-8 * cos[3.69768852728 + 172.4577468145 * tau] + 1.792e-8 * cos[0.00514800434 + 827.9235874865 * tau] + 1.897e-8 * cos[0.6433475825 + 55.6591434561 * tau] + 2.227e-8 * cos[4.58488941022 + 271.61836777 * tau] + 2.221e-8 * cos[4.8221041383 + 1585.8915015461 * tau] + 1.824e-8 * cos[0.85822155861 + 639.8491022042 * tau] + 1.807e-8 * cos[0.76057354967 + 66.1835788582 * tau] + 1.928e-8 * cos[2.64393870433 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cos[1.19671359858 + 209.1544938538 * tau] + 2.113e-8 * cos[2.19787343926 + 449.232108125 * tau] + 2.906e-8 * cos[3.75374302356 + 428.0826635843 * tau] + 2.826e-8 * cos[1.01974994073 + 87.3117715395 * tau] + 2.111e-8 * cos[4.24637589094 + 96.8729990951 * tau] + 2.523e-8 * cos[1.75026771081 + 1578.0271950199 * tau] + 2.529e-8 * cos[3.07975959821 + 774.4826299216 * tau] + 2.344e-8 * cos[0.35844885568 + 217.4436970222 * tau] + 2.314e-8 * cos[6.13104971819 + 2730.2069586892 * tau] + 2.227e-8 * cos[1.15684015463 + 227.3137411185 * tau] + 2.425e-8 * cos[0.84789834075 + 550.1378342197 * tau] + 2.245e-8 * cos[5.67078632283 + 6467.9257579616 * tau] + 2.116e-8 * cos[4.76181734842 + 765.8846102125 * tau] + 2.131e-8 * cos[0.61211416273 + 335.1418177523 * tau] + 2.452e-8 * cos[4.35251210402 + 1382.8873468466 * tau] + 2.122e-8 * cos[4.04560058177 + 118.0706277456 * tau] + 2.964e-8 * cos[5.96264929181 + 465.9550667912 * tau] + 2.343e-8 * cos[2.86472924644 + 207.0793203145 * tau] + 2.448e-8 * 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cos[5.72610904534 + 322.0209439491 * tau] + 2.917e-8 * cos[0.96774661857 + 100.3844612329 * tau] + 2.276e-8 * cos[1.96882478275 + 212.4959462859 * tau] + 2.276e-8 * cos[6.04688191978 + 214.1022445901 * tau] + 3.213e-8 * cos[4.4932046169 + 432.2272651685 * tau] + 2.616e-8 * cos[0.11849676899 + 133.1008708993 * tau] + 2.873e-8 * cos[1.10206537875 + 7.8643065262 * tau] + 2.310e-8 * cos[4.86442292404 + 3259.8979237838 * tau] + 2.318e-8 * cos[6.27716072818 + 317.142629182 * tau] + 2.297e-8 * cos[1.38016674676 + 425.8474313506 * tau] + 2.632e-8 * cos[1.41253794767 + 211.6545640353 * tau] + 2.427e-8 * cos[2.0462785074 + 124.5028511902 * tau] + 2.326e-8 * cos[1.42604031905 + 131.5469622218 * tau] + 2.908e-8 * cos[5.38534195293 + 315.1680293792 * tau] + 3.183e-8 * cos[6.15742006608 + 109.2431133729 * tau] + 3.295e-8 * cos[0.81766682522 + 705.1176573257 * tau] + 3.074e-8 * cos[1.71462387764 + 256.5881246163 * tau] + 2.592e-8 * cos[3.32836551071 + 110.1581371096 * tau] + 2.803e-8 * cos[2.55280894914 + 505.3119427064 * tau] + 2.416e-8 * cos[3.76296045457 + 77.7505439839 * tau] + 2.434e-8 * cos[3.71460437051 + 4216.1870797544 * tau] + 2.439e-8 * cos[5.14733660159 + 303.8616966844 * tau] + 2.805e-8 * cos[5.62255444533 + 1699.2792165032 * tau] + 2.634e-8 * cos[2.299955338 + 519.3960243561 * tau] + 3.297e-8 * cos[1.33975572602 + 305.6068018236 * tau] + 2.654e-8 * cos[1.36744710395 + 460.5384408198 * tau] + 2.945e-8 * cos[1.06452531856 + 732.6951197941 * tau] + 2.521e-8 * cos[3.3216047231 + 136.0698163159 * tau] + 2.534e-8 * cos[5.00311256556 + 431.264057322 * tau] + 2.461e-8 * cos[4.68211868869 + 2840.4132799086 * tau] + 2.648e-8 * cos[1.90547819027 + 88.1149206916 * tau] + 2.900e-8 * cos[1.20691455948 + 462.0229135281 * tau] + 2.561e-8 * cos[0.54160683162 + 107.7586406646 * tau] + 2.959e-8 * cos[3.35623851523 + 273.8536000037 * tau] + 2.987e-8 * cos[0.82758128867 + 45.5766510387 * tau] + 2.603e-8 * cos[4.3153279088 + 561.934294009 * tau] + 3.140e-8 * cos[5.4079027758 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* cos[3.53529781673 + 960.2213092337 * tau] + 4.067e-8 * cos[4.6659260313 + 106.0135355254 * tau] + 5.387e-8 * cos[2.03693287651 + 2435.155730035 * tau] + 4.353e-8 * cos[3.78587101731 + 1171.875873269 * tau] + 4.167e-8 * cos[5.9472576207 + 316.4400537664 * tau] + 4.976e-8 * cos[0.50639895683 + 511.5317178299 * tau] + 4.192e-8 * cos[0.16603430914 + 958.576777831 * tau] + 5.782e-8 * cos[3.55197606731 + 25874.6040461362 * tau] + 5.095e-8 * cos[3.40640608336 + 427.1194557378 * tau] + 4.327e-8 * cos[1.4540722938 + 409.9234163196 * tau] + 4.525e-8 * cos[1.88735156553 + 103.0445901088 * tau] + 4.897e-8 * cos[4.90011892854 + 102.1295663721 * tau] + 4.504e-8 * cos[1.68251875362 + 196.0336200506 * tau] + 5.643e-8 * cos[1.5272433648 + 105.5404547734 * tau] + 4.524e-8 * cos[5.09539085552 + 103.1409583284 * tau] + 5.617e-8 * cos[6.27593478237 + 112.6540017742 * tau] + 4.917e-8 * cos[0.48641512683 + 3274.1250177854 * tau] + 5.366e-8 * cos[3.54867806985 + 107.2855599126 * tau] + 4.944e-8 * cos[2.16189522746 + 104.0559820651 * tau] + 4.968e-8 * cos[2.53258931342 + 980.6681783588 * tau] + 5.949e-8 * cos[0.29956165181 + 524.0137066923 * tau] + 4.896e-8 * cos[3.6778653184 + 240.125798381 * tau] + 4.650e-8 * cos[3.7102912129 + 305.0855369618 * tau] + 5.086e-8 * cos[1.73392381835 + 337.732510659 * tau] + 4.858e-8 * cos[5.21378840436 + 3686.4961146598 * tau] + 5.161e-8 * cos[0.14436456585 + 2413.8150890326 * tau] + 5.399e-8 * cos[4.57611449409 + 238.9019581036 * tau] + 4.782e-8 * cos[1.56813683227 + 420.9691165835 * tau] + 6.408e-8 * cos[1.1668741968 + 268.9582388941 * tau] + 4.728e-8 * cos[0.23421038001 + 1063.3140834523 * tau] + 6.373e-8 * cos[1.4129634646 + 606.7601855223 * tau] + 5.933e-8 * cos[2.74003948393 + 219.891377577 * tau] + 5.284e-8 * cos[1.96024672163 + 1182.9215735329 * tau] + 4.847e-8 * cos[3.76991373317 + 423.6774295692 * tau] + 4.857e-8 * cos[2.61373582429 + 66.70484372 * tau] + 5.225e-8 * cos[4.65463431385 + 310.7146112543 * tau] + 4.931e-8 * 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cos[5.80475568528 + 251.4321310758 * tau] + 4.1539e-7 * cos[0.08136234251 + 210.3301500214 * tau] + 3.4514e-7 * cos[1.8260750069 + 380.12776796 * tau] + 3.8671e-7 * cos[4.39617126814 + 18.1592472647 * tau] + 3.2722e-7 * cos[1.06640549236 + 252.6559713532 * tau] + 3.9035e-7 * cos[3.73870591196 + 3163.918696566 * tau] + 3.2584e-7 * cos[2.22713131846 + 319.5732633943 * tau] + 3.3049e-7 * cos[4.86593901955 + 209.106309744 * tau] + 3.4796e-7 * cos[2.24780137629 + 487.3651437628 * tau] + 3.9361e-7 * cos[3.4573071999 + 241.6102710893 * tau] + 3.6509e-7 * cos[1.6882677575 + 22.0914005278 * tau] + 3.3967e-7 * cos[5.31264617621 + 206.233732547 * tau] + 3.4213e-7 * cos[0.73077393007 + 750.1036075334 * tau] + 4.0763e-7 * cos[4.08408559215 + 621.7380390493 * tau] + 4.1092e-7 * cos[2.4726489737 + 237.6781178262 * tau] + 3.4583e-7 * cos[5.62555932761 + 99.9113804809 * tau] + 4.8733e-7 * cos[5.32762223699 + 3127.3133312618 * tau] + 3.7992e-7 * cos[2.06495914285 + 247.2393453818 * tau] + 4.2949e-7 * cos[0.39856812529 + 357.4456666012 * tau] + 4.6509e-7 * cos[2.06623129884 + 2008.557539159 * tau] + 4.1089e-7 * cos[4.92252591399 + 1891.2376709388 * tau] + 4.4960e-7 * cos[5.35721924134 + 218.9281697305 * tau] + 5.0135e-7 * cos[5.75914508514 + 320.3240229197 * tau] + 5.3882e-7 * cos[4.97905460628 + 134.5853436076 * tau] + 3.9793e-7 * cos[4.00870764324 + 12.5301729722 * tau] + 4.3345e-7 * cos[1.83707598036 + 106.2741679563 * tau] + 5.6157e-7 * cos[2.07214273531 + 124.433415221 * tau] + 4.7767e-7 * cos[2.39260015876 + 207.8824694666 * tau] + 4.1532e-7 * cos[0.74488808688 + 125.9873238985 * tau] + 5.2629e-7 * cos[3.7923062907 + 343.2185725996 * tau] + 5.8829e-7 * cos[4.23073947869 + 700.6642392008 * tau] + 4.9643e-7 * cos[5.20789299388 + 2744.4340526908 * tau] + 5.5914e-7 * cos[4.29520232351 + 329.7251917809 * tau] + 4.4521e-7 * cos[5.55987055442 + 264.5048207692 * tau] + 4.4905e-7 * cos[1.77616995803 + 223.5940361765 * tau] + 4.6678e-7 * cos[2.44960215701 + 207.1487562837 * tau] + 4.5970e-7 * cos[4.97297391881 + 198.321241911 * tau] + 4.6316e-7 * cos[4.8622664277 + 2950.619601128 * tau] + 4.8457e-7 * cos[3.15166418511 + 216.2198567448 * tau] + 5.8742e-7 * cos[2.62270940799 + 225.8292684102 * tau] + 5.4335e-7 * cos[1.07179534996 + 362.8622925726 * tau] + 4.6289e-7 * cos[2.6403845348 + 10.2949407385 * tau] + 4.6359e-7 * cos[2.09430260266 + 212.5483359126 * tau] + 6.2711e-7 * cos[4.40120079629 + 214.7835681463 * tau] + 4.9368e-7 * cos[4.90341763553 + 217.491881132 * tau] + 4.7539e-7 * cos[3.92925402178 + 199.2844497575 * tau] + 4.9537e-7 * cos[3.22831070579 + 333.657345044 * tau] + 4.9783e-7 * cos[3.93453970179 + 192.6921676185 * tau] + 5.4414e-7 * cos[3.71479080197 + 344.7030453079 * tau] + 6.4940e-7 * cos[2.44739629174 + 267.4737661858 * tau] + 7.3760e-7 * cos[3.57045342615 + 1.4844727083 * tau] + 7.3581e-7 * cos[3.72292337326 + 92.0470739547 * tau] + 5.7987e-7 * cos[5.4726912434 + 347.8844390456 * tau] + 5.5306e-7 * cos[1.60456896521 + 543.0242872189 * tau] + 6.4090e-7 * cos[4.09854757476 + 327.4375699205 * tau] + 5.7101e-7 * cos[6.26689214029 + 2420.9286360334 * tau] + 5.5012e-7 * cos[3.85865703217 + 342.2553647531 * tau] + 7.3124e-7 * cos[4.37810889148 + 425.1137181677 * tau] + 6.4236e-7 * cos[1.28586474622 + 1148.2476104062 * tau] + 5.8123e-7 * cos[6.05732868566 + 1677.9385755008 * tau] + 6.0786e-7 * cos[5.12026947473 + 756.3233826569 * tau] + 6.3488e-7 * cos[2.01740971153 + 234.6397364404 * tau] + 6.6533e-7 * cos[1.08034871114 + 339.2864193365 * tau] + 7.1557e-7 * cos[0.01212415296 + 565.1156877467 * tau] + 6.4824e-7 * cos[0.09343869325 + 9.5612275556 * tau] + 6.5835e-7 * cos[2.46869725001 + 280.9671470045 * tau] + 6.6529e-7 * cos[4.75053522835 + 70.8494453042 * tau] + 8.6015e-7 * cos[2.3010372727 + 85.8272988312 * tau] + 7.0317e-7 * cos[4.0425370727 + 173.9422195228 * tau] + 7.6693e-7 * cos[3.15240783008 + 767.3690829208 * tau] + 8.2580e-7 * cos[1.52823217919 + 145.6310438715 * tau] + 7.2514e-7 * cos[4.63213873657 + 245.5424243524 * tau] + 9.5266e-7 * cos[2.51506908152 + 2.4476805548 * tau] + 7.1010e-7 * cos[0.99334817658 + 405.2575498736 * tau] + 9.6584e-7 * cos[4.84438390997 + 131.4039498699 * tau] + 8.7077e-7 * cos[1.33390590052 + 1905.4647649404 * tau] + 9.1872e-7 * cos[2.9497760532 + 35.4247226521 * tau] + 9.3308e-7 * cos[0.73846639887 + 831.1049812242 * tau] + 8.8376e-7 * cos[3.86800515885 + 140.001969579 * tau] + 8.3961e-7 * cos[4.60845858022 + 177.8743727859 * tau] + 9.1240e-7 * cos[3.96942332591 + 2847.5268269094 * tau] + 8.1951e-7 * cos[1.66499731549 + 62.2514255951 * tau] + 8.8796e-7 * cos[4.0576630675 + 128.9562693151 * tau] + 8.5609e-7 * cos[0.03354346966 + 860.3099287528 * tau] + 9.4109e-7 * cos[2.39786381418 + 483.2205421786 * tau] + 9.5885e-7 * cos[5.44594259071 + 2428.0421830342 * tau] + 9.0659e-7 * cos[4.20908809746 + 213.8203602998 * tau] + 0.00000110191 * cos[2.43656081234 + 355.7487455718 * tau] + 8.9021e-7 * cos[5.38791571457 + 107.0249274817 * tau] + 8.4023e-7 * cos[1.18337717265 + 429.7795846137 * tau] + 0.00000112532 * cos[5.03109281265 + 703.6331846174 * tau] + 9.9249e-7 * cos[5.13816222131 + 1574.8458012822 * tau] + 8.5829e-7 * cos[4.54545085982 + 210.3783341312 * tau] + 9.6507e-7 * cos[2.56002066845 + 1692.1656695024 * tau] + 9.6852e-7 * cos[4.19928280035 + 305.3461693927 * tau] + 0.00000109097 * cos[1.63231061493 + 208.633228992 * tau] + 9.7743e-7 * cos[5.12231845599 + 2634.2277314714 * tau] + 0.00000108642 * cos[2.85492389024 + 21.3406410024 * tau] + 0.00000107447 * cos[3.67064138701 + 212.7778305762 * tau] + 0.00000104427 * cos[3.63671899047 + 65.2203710117 * tau] + 0.00000125186 * cos[4.78354048063 + 205.2223405907 * tau] + 0.00000112238 * cos[0.26221759151 + 2104.5367663768 * tau] + 0.00000132106 * cos[2.85902597898 + 312.4597163935 * tau] + 0.00000108747 * cos[2.09282278191 + 207.6700211455 * tau] + 0.00000143441 * cos[0.9981735772 + 76.2660712756 * tau] + 0.00000120093 * cos[0.04329750542 + 1361.5467058442 * tau] + 0.00000128877 * cos[2.55338644107 + 414.0680179038 * tau] + 0.00000176864 * cos[2.30323752987 + 9999.986450773 * tau] + 0.00000145727 * cos[1.56565192483 + 831.8557407496 * tau] + 0.00000165478 * cos[2.89132196119 + 214.2623032845 * tau] + 0.00000172824 * cos[1.8492099409 + 1589.0728952838 * tau] + 0.00000137491 * cos[5.43912787991 + 222.8603229936 * tau] + 0.00000145127 * cos[5.08176368814 + 423.4167971383 * tau] + 0.00000187935 * cos[6.07916265661 + 563.6312150384 * tau] + 0.00000150077 * cos[4.40663921925 + 417.0369633204 * tau] + 0.00000183041 * cos[5.66851947172 + 2111.6503133776 * tau] + 0.00000175108 * cos[5.71404465044 + 1066.49547719 * tau] + 0.00000162305 * cos[5.73050678664 + 203.0041546995 * tau] + 0.0000016325 * cos[3.4583251728 + 617.8058857862 * tau] + 0.00000191514 * cos[2.95906900704 + 437.6438911399 * tau] + 0.00000177585 * cos[0.38155817719 + 430.5303441391 * tau] + 0.00000230892 * cos[5.49463421262 + 191.9584544356 * tau] + 0.00000165707 * cos[2.63679789706 + 215.7467759928 * tau] + 0.0000017201 * cos[2.36537801012 + 213.2509113282 * tau] + 0.00000214398 * cos[4.20253525974 + 2531.1349572528 * tau] + 0.00000169865 * cos[2.8566755401 + 99.1606209555 * tau] + 0.00000171915 * cos[5.56318632797 + 213.3472795478 * tau] + 0.00000236639 * cos[0.90802744873 + 1375.7737998458 * tau] + 0.00000197093 * cos[3.9014194285 + 52.6901980395 * tau] + 0.0000024144 * cos[1.1252586811 + 388.4651552382 * tau] + 0.00000179673 * cos[4.41045924362 + 408.4389436113 * tau] + 0.00000222155 * cos[5.94588016768 + 39.3568759152 * tau] + 0.00000218536 * cos[5.25607043545 + 212.3358875915 * tau] + 0.00000186835 * cos[6.03591766061 + 404.5067903482 * tau] + 0.00000207567 * cos[5.38126259725 + 2317.8358618148 * tau] + 0.00000205571 * cos[0.95755250527 + 288.0806940053 * tau] + 0.00000242911 * cos[5.37187983246 + 1258.4539316256 * tau] + 0.00000277257 * cos[5.31917702012 + 692.5874843535 * tau] + 0.00000226121 * cos[0.37495223398 + 142.4496501338 * tau] + 0.00000292103 * cos[6.2142061192 + 210.8514148832 * tau] + 0.000003033 * cos[0.87946670205 + 6069.7767545534 * tau] + 0.00000224592 * cos[0.54754005675 + 1788.1448967202 * tau] + 0.00000275814 * cos[0.47832439352 + 38.1330356378 * tau] + 0.00000223729 * cos[2.28129446763 + 330.6189636582 * tau] + 0.00000234018 * cos[4.22756813216 + 114.1384744825 * tau] + 0.00000341117 * cos[2.3758524725 + 525.4981794006 * tau] + 0.00000342968 * cos[5.85600322299 + 1795.258443721 * tau] + 0.00000295331 * cos[0.67144493789 + 88.865680217 * tau] + 0.0000026249 * cos[0.31753439818 + 1045.1548361876 * tau] + 0.00000294444 * cos[0.42577061903 + 312.1990839626 * tau] + 0.00000288298 * cos[1.12160250272 + 422.6660376129 * tau] + 0.00000385974 * cos[1.99700402508 + 1272.6810256272 * tau] + 0.00000340627 * cos[0.89091104306 + 628.8515860501 * tau] + 0.00000339763 * cos[1.40198657693 + 440.8252848776 * tau] + 0.00000427459 * cos[0.05741344372 + 284.1485407422 * tau] + 0.00000489825 * cos[5.80631420383 + 191.2076949102 * tau] + 0.0000049434 * cos[2.28626675074 + 278.5194664497 * tau] + 0.00000452848 * cos[3.00349117198 + 302.164775655 * tau] + 0.00000517196 * cos[4.44310450526 + 2214.7430875962 * tau] + 0.00000405434 * cos[1.64001413521 + 536.8045120954 * tau] + 0.00000472572 * cos[1.8819858466 + 515.463871093 * tau] + 0.00000534397 * cos[1.26443331367 + 275.5505210331 * tau] + 0.00000553128 * cos[3.41088600844 + 269.9214467406 * tau] + 0.00000451817 * cos[5.64468459871 + 2001.4439921582 * tau] + 0.00000470086 * cos[0.8384775504 + 1471.7530270636 * tau] + 0.00000487689 * cos[2.79373616806 + 3.1813937377 * tau] + 0.0000048223 * cos[1.84070179496 + 479.2883889155 * tau] + 0.00000626382 * cos[5.9420823259 + 1478.8665740644 * tau] + 0.0000061774 * cos[5.62092000007 + 942.062061969 * tau] + 0.0000065985 * cos[4.66635439533 + 195.1398481733 * tau] + 0.00000664481 * cos[0.60297724821 + 728.762966531 * tau] + 0.00000932434 * cos[3.66980793184 + 554.0699874828 * tau] + 0.00000985869 * cos[2.25992849742 + 956.2891559706 * tau] + 0.00000998462 * cos[2.63131596867 + 200.7689224658 * tau] + 0.00001099037 * cos[1.81765118601 + 149.5631971346 * tau] + 0.00001295553 * cos[4.69184139933 + 1898.3512179396 * tau] + 0.00001315042 * cos[5.11202572637 + 211.8146227297 * tau] + 0.00001020922 * cos[5.91233512844 + 1685.0521225016 * tau] + 0.00001071399 * cos[1.13567265104 + 1155.361157407 * tau] + 0.00001207053 * cos[0.7528593316 + 351.8165923087 * tau] + 0.00001277489 * cos[2.98412586423 + 1059.3819301892 * tau] + 0.00001126667 * cos[4.46707803791 + 265.9892934775 * tau] + 0.00001149773 * cos[5.74021249703 + 1162.4747044078 * tau] + 0.00001304089 * cos[0.77235613966 + 647.0108333148 * tau] + 0.00001472392 * cos[1.40064915651 + 137.0330241624 * tau] + 0.00001817186 * cos[5.77713225779 + 490.3340891794 * tau] + 0.00001781165 * cos[0.76314388077 + 217.2312487011 * tau] + 0.00001395109 * cos[5.93669404929 + 127.4717966068 * tau] + 0.00001474547 * cos[5.6767046113 + 203.7378678824 * tau] + 0.00001462631 * cos[1.92588134017 + 216.4804891757 * tau] + 0.00001610859 * cos[1.17302463549 + 74.7815985673 * tau] + 0.00001888436 * cos[0.02968443389 + 3.9321532631 * tau] + 0.00001861397 * cos[5.93361638244 + 625.6701923124 * tau] + 0.00001740254 * cos[2.34657043464 + 309.2783226558 * tau] + 0.00002024483 * cos[5.05411271271 + 11.0457002639 * tau] + 0.00002173959 * cos[0.01508587396 + 340.7708920448 * tau] + 0.00002881181 * cos[0.17960757891 + 853.196381752 * tau] + 0.00002406138 * cos[2.96559220267 + 117.3198682202 * tau] + 0.00002448325 * cos[6.18412386316 + 1368.660252845 * tau] + 0.0000250763 * cos[3.53851863255 + 742.9900605326 * tau] + 0.00003400616 * cos[0.55386747515 + 350.3321196004 * tau] + 0.00003460943 * cos[1.85088802878 + 175.1660598002 * tau] + 0.00003419551 * cos[4.94549148887 + 1581.959348283 * tau] + 0.00002976033 * cos[5.68467931117 + 210.1177017003 * tau] + 0.00002885348 * cos[1.38764077631 + 838.9692877504 * tau] + 0.00003376457 * cos[3.69528478828 + 224.3447957019 * tau] + 0.00003688132 * cos[0.7801613317 + 412.3710968744 * tau] + 0.00004043988 * cos[1.64010323863 + 209.3669421749 * tau] + 0.00004695746 * cos[2.14919036956 + 227.5261894396 * tau] + 0.00005307481 * cos[0.5973753405 + 63.7358983034 * tau] + 0.00005850443 * cos[1.45519636076 + 415.5524906121 * tau] + 0.00006770621 * cos[3.00433479284 + 14.2270940016 * tau] + 0.00006465967 * cos[0.17733160145 + 1052.2683831884 * tau] + 0.00009796061 * cos[5.20475863996 + 1265.5674786264 * tau] + 0.00007752769 * cos[5.85191318903 + 95.9792272178 * tau] + 0.00012884128 * cos[1.64892310393 + 138.5174968707 * tau] + 0.00011380261 * cos[1.73105746566 + 522.5774180938 * tau] + 0.00011993314 * cos[5.98051421881 + 846.0828347512 * tau] + 0.00014296479 * cos[2.60433537909 + 323.5054166574 * tau] + 0.00015298457 * cos[3.05943652881 + 529.6909650946 * tau] + 0.00020746678 * cos[5.33255667599 + 199.0720014364 * tau] + 0.00020839118 * cos[1.5210259064 + 433.7117378768 * tau] + 0.00020936573 * cos[0.46349163993 + 735.8765135318 * tau] + 0.00032401718 * cos[5.47084606947 + 949.1756089698 * tau] + 0.00034143794 * cos[0.19518550682 + 277.0349937414 * tau] + 0.00048913044 * cos[1.55733388472 + 202.2533951741 * tau] + 0.0006105335 * cos[0.94037761156 + 639.897286314 * tau] + 0.00069007015 * cos[5.94099622447 + 419.4846438752 * tau] + 0.00108974737 * cos[3.29313595577 + 110.2063212194 * tau] + 0.00140617548 * cos[5.70406652991 + 632.7837393132 * tau] + 0.00361778433 * cos[3.13904303264 + 7.1135470008 * tau] + 0.00371684449 * cos[2.27114833428 + 220.4126424388 * tau] + 0.00547506899 * cos[5.01532628454 + 103.0927742186 * tau] + 0.00821891059 * cos[5.93520025371 + 316.3918696566 * tau] + 0.01464663959 * cos[1.64763045468 + 426.598190876 * tau] + 0.01873679934 * cos[5.23549605091 + 206.1855484372 * tau] + 0.52921382465 * cos[2.39226219733 + 213.299095438 * tau] + 9.55758135801 * cos[0.0 + 0.0 * tau]; R1 = 7.21e-9 * cos[1.62872794201 + 2200.5159935946 * tau] + 9.39e-9 * cos[1.85473712038 + 5062.2699145056 * tau] + 9.39e-9 * cos[0.46037763932 + 5488.8681053816 * tau] + 8.37e-9 * cos[1.00844734156 + 4127.3213995374 * tau] + 7.29e-9 * cos[2.81779134868 + 419.532827985 * tau] + 7.46e-9 * cos[4.08997409526 + 849.2642284889 * tau] + 7.35e-9 * cos[1.54083195463 + 201.9927627432 * tau] + 7.22e-9 * cos[4.14075205197 + 225.0785088848 * tau] + 7.11e-9 * cos[0.00981284716 + 2115.5824666407 * tau] + 7.06e-9 * cos[2.22974712805 + 29.2049475286 * tau] + 7.08e-9 * cos[0.69014726046 + 1048.3362299253 * tau] + 7.05e-9 * cos[0.4494244575 + 219.6618829134 * tau] + 7.30e-9 * cos[4.98865345688 + 705.1176573257 * tau] + 7.39e-9 * cos[3.57172839746 + 775.233389447 * tau] + 7.21e-9 * cos[6.05392551158 + 91.7864415238 * tau] + 7.76e-9 * cos[5.54603607568 + 3171.0322435668 * tau] + 7.29e-9 * cos[0.4417199071 + 898.7730327907 * tau] + 7.67e-9 * cos[1.11806243753 + 2847.5268269094 * tau] + 8.54e-9 * cos[2.56811257488 + 432.7485300303 * tau] + 8.49e-9 * cos[5.27994730935 + 74.6385862154 * tau] + 7.70e-9 * cos[4.67090683753 + 16.6747745564 * tau] + 8.52e-9 * cos[1.03470840672 + 2620.0006374698 * tau] + 8.51e-9 * cos[3.64678001195 + 348.635198571 * tau] + 7.67e-9 * cos[2.46787654531 + 402.2191684878 * tau] + 8.82e-9 * cos[1.49559638306 + 760.25553592 * tau] + 8.19e-9 * cos[0.98885784755 + 960.2213092337 * tau] + 8.58e-9 * cos[4.02964773169 + 41.6444977756 * tau] + 8.10e-9 * cos[5.87689161549 + 561.934294009 * tau] + 7.82e-9 * cos[3.98153416585 + 702.1487119091 * tau] + 7.84e-9 * cos[1.6923516277 + 477.8039162072 * tau] + 9.33e-9 * cos[1.40166917666 + 287.9376816534 * tau] + 8.00e-9 * cos[1.4704267746 + 969.6224780949 * tau] + 8.19e-9 * cos[5.55683690482 + 462.0229135281 * tau] + 9.76e-9 * cos[3.09106001923 + 2332.0629558164 * tau] + 8.54e-9 * cos[1.91765015557 + 622.4887985747 * tau] + 8.33e-9 * cos[5.39754715806 + 159.7151255212 * tau] + 8.91e-9 * cos[1.36817544763 + 700.4517908797 * tau] + 8.70e-9 * cos[1.06968760644 + 51.2057253312 * tau] + 1.007e-8 * cos[2.73615455688 + 4841.8572720668 * tau] + 8.33e-9 * cos[3.0330222784 + 532.8723588323 * tau] + 9.34e-9 * cos[3.52355235083 + 10220.3990932118 * tau] + 1.123e-8 * cos[4.07401922216 + 3693.6096616606 * tau] + 8.54e-9 * cos[1.63255087291 + 328.2407190726 * tau] + 8.73e-9 * cos[5.7843339302 + 480.7728616238 * tau] + 8.88e-9 * cos[2.6095759299 + 1912.5783119412 * tau] + 9.95e-9 * cos[2.0345788549 + 6290.1893969922 * tau] + 1.020e-8 * cos[5.53181822898 + 0.0481841098 * tau] + 9.42e-9 * cos[3.86810837922 + 238.4288773516 * tau] + 9.31e-9 * cos[2.09868057209 + 205.6642835754 * tau] + 1.186e-8 * cos[4.46262000755 + 465.9550667912 * tau] + 1.160e-8 * cos[5.80630916592 + 460.5384408198 * tau] + 9.51e-9 * cos[4.23581224839 + 92.940845832 * tau] + 1.164e-8 * cos[5.05392864346 + 263.7016716171 * tau] + 9.18e-9 * cos[1.73738789723 + 223.3334037456 * tau] + 9.69e-9 * cos[1.93369993197 + 525.7588118315 * tau] + 9.53e-9 * cos[3.40787141587 + 244.791664827 * tau] + 9.60e-9 * cos[1.9018000528 + 1159.2933106701 * tau] + 9.54e-9 * cos[3.88548755058 + 171.6545976624 * tau] + 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3.0757e-7 * cos[1.47903923433 + 1677.9385755008 * tau] + 4.2053e-7 * cos[4.830179518 + 288.0806940053 * tau] + 3.3041e-7 * cos[1.9796484643 + 142.4496501338 * tau] + 3.1777e-7 * cos[5.19036499973 + 76.2660712756 * tau] + 3.9752e-7 * cos[0.28412706854 + 131.4039498699 * tau] + 3.6521e-7 * cos[0.63453270366 + 52.6901980395 * tau] + 4.2770e-7 * cos[2.98582069454 + 1148.2476104062 * tau] + 3.4962e-7 * cos[4.68487505703 + 38.1330356378 * tau] + 3.9302e-7 * cos[0.56257369109 + 1574.8458012822 * tau] + 4.0136e-7 * cos[5.18161452756 + 1478.8665740644 * tau] + 4.9511e-7 * cos[3.79960349195 + 215.7467759928 * tau] + 5.4179e-7 * cos[0.28360076018 + 124.433415221 * tau] + 4.6691e-7 * cos[2.17322569098 + 312.1990839626 * tau] + 4.7916e-7 * cos[0.83929741626 + 10.2949407385 * tau] + 5.5166e-7 * cos[4.59491533823 + 628.8515860501 * tau] + 5.0648e-7 * cos[6.26867505289 + 223.5940361765 * tau] + 4.9320e-7 * cos[4.17243429807 + 138.5174968707 * tau] + 6.5579e-7 * cos[0.05539079332 + 1589.0728952838 * tau] + 6.7074e-7 * cos[5.45365870159 + 200.7689224658 * tau] + 6.0456e-7 * cos[2.25094790113 + 1788.1448967202 * tau] + 6.8945e-7 * cos[2.47127505057 + 949.1756089698 * tau] + 6.7006e-7 * cos[0.06872766216 + 408.4389436113 * tau] + 6.1601e-7 * cos[1.09332288242 + 2001.4439921582 * tau] + 6.3812e-7 * cos[1.7505149818 + 1361.5467058442 * tau] + 6.6433e-7 * cos[2.68414462465 + 405.2575498736 * tau] + 7.3332e-7 * cos[0.62505906432 + 1375.7737998458 * tau] + 7.2057e-7 * cos[5.58013290518 + 429.7795846137 * tau] + 7.0447e-7 * cos[0.87698401733 + 423.4167971383 * tau] + 7.0639e-7 * cos[0.7319151392 + 437.6438911399 * tau] + 7.2227e-7 * cos[4.3798463038 + 860.3099287528 * tau] + 9.7389e-7 * cos[3.26245865063 + 831.8557407496 * tau] + 9.7986e-7 * cos[2.56085956186 + 191.2076949102 * tau] + 8.2663e-7 * cos[0.28181414606 + 234.6397364404 * tau] + 9.5934e-7 * cos[0.79463744168 + 1258.4539316256 * tau] + 0.00000107527 * cos[4.31870663477 + 210.8514148832 * tau] + 0.00000103169 * cos[0.38175114761 + 203.7378678824 * tau] + 0.00000100277 * cos[3.61360169153 + 1066.49547719 * tau] + 0.00000126538 * cos[3.00310970076 + 277.0349937414 * tau] + 0.00000127831 * cos[2.53876158952 + 1471.7530270636 * tau] + 0.00000129476 * cos[1.14344730612 + 21.3406410024 * tau] + 0.00000153391 * cos[0.26968607873 + 1272.6810256272 * tau] + 0.00000136013 * cos[5.01678984678 + 351.8165923087 * tau] + 0.00000140977 * cos[1.27099900689 + 203.0041546995 * tau] + 0.00000139834 * cos[1.3528295939 + 1685.0521225016 * tau] + 0.0000014063 * cos[2.02069760726 + 1045.1548361876 * tau] + 0.00000157687 * cos[2.99559914619 + 340.7708920448 * tau] + 0.00000152461 * cos[5.43886711695 + 422.6660376129 * tau] + 0.00000151526 * cos[0.52928231044 + 330.6189636582 * tau] + 0.00000169743 * cos[4.63464467495 + 284.1485407422 * tau] + 0.00000154809 * cos[1.19720845085 + 265.9892934775 * tau] + 0.00000165515 * cos[5.99775895715 + 536.8045120954 * tau] + 0.00000174651 * cos[3.44560172182 + 137.0330241624 * tau] + 0.00000181645 * cos[4.93431600689 + 74.7815985673 * tau] + 0.00000182802 * cos[2.67913220473 + 127.4717966068 * tau] + 0.00000194973 * cos[4.56665009915 + 846.0828347512 * tau] + 0.00000222077 * cos[5.1319321205 + 269.9214467406 * tau] + 0.00000246245 * cos[0.90730313861 + 191.9584544356 * tau] + 0.00000264047 * cos[1.28547685567 + 1059.3819301892 * tau] + 0.00000215368 * cos[3.56535574833 + 490.3340891794 * tau] + 0.00000244864 * cos[1.04493438899 + 942.062061969 * tau] + 0.00000294324 * cos[2.81632778983 + 11.0457002639 * tau] + 0.00000316777 * cos[3.58395655749 + 515.463871093 * tau] + 0.00000264864 * cos[5.82860588985 + 149.5631971346 * tau] + 0.00000264971 * cos[2.42670902733 + 88.865680217 * tau] + 0.00000291173 * cos[2.83129427918 + 1155.361157407 * tau] + 0.00000277783 * cos[0.26007031431 + 195.1398481733 * tau] + 0.00000321611 * cos[0.97931764923 + 3.1813937377 * tau] + 0.00000362772 * cos[4.70691652867 + 302.164775655 * tau] + 0.00000335526 * cos[1.61614647174 + 1368.660252845 * tau] + 0.00000395004 * cos[0.53349091102 + 956.2891559706 * tau] + 0.00000344777 * cos[5.88787577835 + 440.8252848776 * tau] + 0.00000356117 * cos[2.30312127651 + 728.762966531 * tau] + 0.00000413017 * cos[4.59334402271 + 415.5524906121 * tau] + 0.00000502886 * cos[2.12958819475 + 3.9321532631 * tau] + 0.00000599236 * cos[2.54924174765 + 217.2312487011 * tau] + 0.000006496 * cos[1.7248948616 + 742.9900605326 * tau] + 0.0000065821 * cos[4.1436293098 + 309.2783226558 * tau] + 0.00000612961 * cos[3.03307306767 + 63.7358983034 * tau] + 0.00000739892 * cos[1.38225356694 + 625.6701923124 * tau] + 0.00000784866 * cos[3.06377517461 + 838.9692877504 * tau] + 0.00000897512 * cos[0.98343776092 + 529.6909650946 * tau] + 0.00000874215 * cos[1.40224683864 + 224.3447957019 * tau] + 0.00000881827 * cos[1.88471724478 + 1052.2683831884 * tau] + 0.00000966012 * cos[0.47991379141 + 632.7837393132 * tau] + 0.00000954403 * cos[5.15173410519 + 647.0108333148 * tau] + 0.00001091088 * cos[0.07527246854 + 216.4804891757 * tau] + 0.00001203085 * cos[1.86654673794 + 316.3918696566 * tau] + 0.0000131559 * cos[1.25296446023 + 117.3198682202 * tau] + 0.00001339511 * cos[4.30801821806 + 853.196381752 * tau] + 0.00001581446 * cos[1.29191789712 + 210.1177017003 * tau] + 0.00001941309 * cos[6.02393385142 + 209.3669421749 * tau] + 0.00001987689 * cos[2.45054204795 + 412.3710968744 * tau] + 0.00003081408 * cos[3.43662557418 + 522.5774180938 * tau] + 0.00002909411 * cos[4.60679154788 + 202.2533951741 * tau] + 0.00002856006 * cos[2.16731405366 + 735.8765135318 * tau] + 0.00003252084 * cos[1.25853470491 + 95.9792272178 * tau] + 0.00004247455 * cos[0.39299384543 + 227.5261894396 * tau] + 0.00004869308 * cos[0.86793894213 + 323.5054166574 * tau] + 0.00005396699 * cos[1.28852405908 + 14.2270940016 * tau] + 0.00013876565 * cos[0.75886204364 + 199.0720014364 * tau] + 0.00012892827 * cos[5.94330258435 + 433.7117378768 * tau] + 0.00018839639 * cos[1.60819563173 + 110.2063212194 * tau] + 0.00019952612 * cos[1.17560125007 + 419.4846438752 * tau] + 0.00020928189 * cos[5.0924565447 + 639.897286314 * tau] + 0.00049621111 * cos[6.0174446958 + 103.0927742186 * tau] + 0.00143891176 * cos[1.40744864239 + 7.1135470008 * tau] + 0.0018626154 * cos[3.14159265359 + 0.0 * tau] + 0.00188491375 * cos[0.47215719444 + 220.4126424388 * tau] + 0.00341394136 * cos[5.7963577396 + 426.598190876 * tau] + 0.00506577574 * cos[0.71114650941 + 206.1855484372 * tau] + 0.06182981282 * cos[0.25843515034 + 213.299095438 * tau]; R2 = 7.45e-9 * cos[6.22304530635 + 1269.4996318895 * tau] + 7.39e-9 * cos[3.33688408107 + 953.1077622329 * tau] + 6.83e-9 * cos[2.68825142163 + 151.0476698429 * tau] + 7.25e-9 * cos[1.96643065215 + 220.4608265486 * tau] + 7.90e-9 * cos[0.48073040004 + 4017.115078318 * tau] + 8.35e-9 * cos[3.482878557 + 84.9335269539 * tau] + 8.05e-9 * cos[0.0718719391 + 556.5176680376 * tau] + 7.39e-9 * cos[2.12749199443 + 1176.7017984094 * tau] + 7.17e-9 * cos[2.68899513085 + 228.276948965 * tau] + 7.27e-9 * cos[0.39191881243 + 1493.093668066 * tau] + 7.16e-9 * cos[3.74192651696 + 3053.7123753466 * tau] + 7.28e-9 * cos[1.30997967935 + 511.5317178299 * tau] + 8.16e-9 * cos[4.98990432666 + 4209.0735327536 * tau] + 1.024e-8 * cos[1.9156492556 + 229.9738699944 * tau] + 7.50e-9 * cos[5.48554383902 + 173.9422195228 * tau] + 7.39e-9 * cos[2.27110740297 + 2303.6087678132 * tau] + 9.68e-9 * cos[3.02618272726 + 2634.2277314714 * tau] + 7.47e-9 * cos[6.05374861925 + 211.8146227297 * tau] + 8.01e-9 * cos[0.46947170994 + 3466.083472221 * tau] + 8.01e-9 * cos[1.863831191 + 3039.485281345 * tau] + 7.88e-9 * cos[0.14287187051 + 916.9322800554 * tau] + 9.07e-9 * cos[0.94781730418 + 525.7588118315 * tau] + 7.60e-9 * cos[0.4486053353 + 425.6349830295 * tau] + 9.69e-9 * cos[4.78071024754 + 326.6868103951 * tau] + 8.14e-9 * cos[4.19303098086 + 831.1049812242 * tau] + 9.50e-9 * cos[5.97621460162 + 196.6243208816 * tau] + 7.70e-9 * cos[2.40292326155 + 576.1613880106 * tau] + 8.31e-9 * cos[0.69937251013 + 421.93232443 * tau] + 7.83e-9 * cos[1.14229319753 + 540.7366653585 * tau] + 7.82e-9 * cos[4.50471317138 + 980.6681783588 * tau] + 8.81e-9 * cos[2.39697554334 + 289.5651667136 * tau] + 7.91e-9 * cos[2.14989417962 + 2620.0006374698 * tau] + 8.78e-9 * cos[1.82164034386 + 135.336103133 * tau] + 7.96e-9 * cos[0.4434366454 + 486.4019359163 * tau] + 8.72e-9 * cos[3.02363724703 + 306.0969289181 * tau] + 1.033e-8 * cos[5.48677848094 + 3995.7744373156 * tau] + 8.13e-9 * cos[5.18401872205 + 214.7835681463 * tau] + 9.26e-9 * cos[2.01158276144 + 417.0369633204 * tau] + 8.22e-9 * cos[5.55083534581 + 739.0579072695 * tau] + 1.100e-8 * cos[2.18435744407 + 1699.2792165032 * tau] + 8.65e-9 * cos[6.12821112133 + 245.5424243524 * tau] + 1.062e-8 * cos[5.13323858077 + 2751.5475996916 * tau] + 9.63e-9 * cos[4.96065454054 + 699.7010313543 * tau] + 8.82e-9 * cos[6.12045540405 + 519.3960243561 * tau] + 1.166e-8 * cos[1.61085609717 + 5849.3641121146 * tau] + 9.07e-9 * cos[1.34912454077 + 685.4739373527 * tau] + 9.10e-9 * cos[4.59825926062 + 380.12776796 * tau] + 1.241e-8 * cos[4.31971543677 + 230.7075831773 * tau] + 1.148e-8 * cos[3.31015591733 + 5856.4776591154 * tau] + 1.079e-8 * cos[3.61750956217 + 2097.423219376 * tau] + 1.039e-8 * cos[0.48694895443 + 525.4981794006 * tau] + 9.70e-9 * cos[2.89031410383 + 1987.2168981566 * tau] + 1.182e-8 * cos[3.69482624364 + 2854.6403739102 * tau] + 1.144e-8 * cos[0.5039478414 + 3906.9087570986 * tau] + 1.161e-8 * cos[4.90854984994 + 10206.1719992102 * tau] + 1.165e-8 * cos[4.58588490135 + 732.6951197941 * tau] + 1.193e-8 * cos[5.17722376816 + 98.8999885246 * tau] + 9.97e-9 * cos[1.19323192891 + 710.7467316182 * tau] + 1.035e-8 * cos[5.34279429465 + 327.4375699205 * tau] + 1.167e-8 * cos[5.68899703631 + 479.2883889155 * tau] + 1.391e-8 * cos[4.73554028436 + 398.1440028728 * tau] + 1.037e-8 * cos[4.07846687083 + 156.6767441354 * tau] + 1.295e-8 * cos[4.70261675421 + 9786.687355335 * tau] + 1.140e-8 * cos[5.33720637097 + 114.1384744825 * tau] + 1.044e-8 * cos[0.30512759901 + 436.1594184316 * tau] + 1.467e-8 * cos[1.16228775027 + 621.7380390493 * tau] + 1.217e-8 * cos[3.8983534984 + 209.106309744 * tau] + 1.237e-8 * cos[0.08698781252 + 526.5095713569 * tau] + 1.129e-8 * cos[1.08860603834 + 842.1506814881 * tau] + 1.312e-8 * cos[3.70149813509 + 2111.6503133776 * tau] + 1.349e-8 * cos[3.21102203937 + 175.1660598002 * tau] + 1.350e-8 * cos[2.8723562232 + 142.4496501338 * tau] + 1.304e-8 * cos[0.3733792328 + 3473.1970192218 * tau] + 1.190e-8 * cos[1.94993809928 + 501.3797894433 * tau] + 1.356e-8 * cos[2.28121627817 + 601.7642506762 * tau] + 1.357e-8 * cos[0.93175963411 + 217.491881132 * tau] + 1.286e-8 * cos[5.72360160371 + 298.2326223919 * tau] + 1.202e-8 * cos[2.88792018909 + 2413.8150890326 * tau] + 1.228e-8 * cos[3.29059284057 + 661.2379273164 * tau] + 1.343e-8 * cos[5.79995727295 + 9793.8009023358 * tau] + 1.401e-8 * cos[6.13250261735 + 1802.3719907218 * tau] + 1.252e-8 * cos[2.14513440216 + 1055.4497769261 * tau] + 1.259e-8 * cos[0.35924965717 + 334.5511169213 * tau] + 1.312e-8 * cos[1.68811514551 + 2207.6295405954 * tau] + 1.271e-8 * cos[5.70165238307 + 2.9207613068 * tau] + 1.286e-8 * cos[2.12891372062 + 251.4321310758 * tau] + 1.310e-8 * cos[1.98714265058 + 563.6312150384 * tau] + 1.516e-8 * cos[4.99488503706 + 1162.4747044078 * tau] + 1.315e-8 * cos[4.73430848989 + 241.7532834412 * tau] + 1.411e-8 * cos[4.36399216092 + 5863.5912061162 * tau] + 1.490e-8 * cos[2.68459799437 + 207.1487562837 * tau] + 1.485e-8 * cos[0.49674043855 + 120.358249606 * tau] + 1.408e-8 * cos[0.80461100746 + 1585.1407420207 * tau] + 1.681e-8 * cos[4.97526853273 + 2008.557539159 * tau] + 1.752e-8 * cos[2.70090942746 + 12.7426212933 * tau] + 1.410e-8 * cos[0.68747644676 + 429.0458714308 * tau] + 1.428e-8 * cos[3.25039966249 + 945.9942152321 * tau] + 1.474e-8 * cos[0.33626790634 + 213.8203602998 * tau] + 1.476e-8 * cos[6.12782257368 + 212.7778305762 * tau] + 1.444e-8 * cos[5.56032454849 + 128.3655684841 * tau] + 1.420e-8 * cos[2.07339356364 + 198.321241911 * tau] + 1.542e-8 * cos[5.51223038941 + 204.7010757289 * tau] + 1.683e-8 * cos[3.43534671475 + 2428.0421830342 * tau] + 1.446e-8 * cos[1.7810458992 + 1382.8873468466 * tau] + 1.618e-8 * cos[5.72513459206 + 1485.9801210652 * tau] + 1.477e-8 * cos[5.9027026057 + 1.4844727083 * tau] + 1.911e-8 * cos[0.1772431914 + 12.5301729722 * tau] + 1.621e-8 * cos[3.29992957653 + 1670.8250285 * tau] + 1.874e-8 * cos[4.12861627986 + 225.8292684102 * tau] + 1.551e-8 * cos[2.15558953807 + 207.6700211455 * tau] + 1.589e-8 * cos[1.1577344835 + 235.3904959658 * tau] + 1.862e-8 * cos[3.01276783582 + 2317.8358618148 * tau] + 1.681e-8 * cos[3.55136706992 + 1354.4331588434 * tau] + 1.578e-8 * cos[4.50941374663 + 210.3783341312 * tau] + 1.654e-8 * cos[6.14450664508 + 554.0699874828 * tau] + 1.759e-8 * cos[5.34657858395 + 45.5766510387 * tau] + 1.900e-8 * cos[2.90295578617 + 2310.722314814 * tau] + 1.781e-8 * cos[2.8588015334 + 636.7158925763 * tau] + 1.758e-8 * cos[5.05088656436 + 214.2623032845 * tau] + 2.064e-8 * cos[4.84900344498 + 1141.1340634054 * tau] + 1.693e-8 * cos[1.95360003617 + 129.9194771616 * tau] + 1.709e-8 * cos[5.55913931846 + 92.7978334801 * tau] + 1.726e-8 * cos[1.31878655393 + 219.4494345923 * tau] + 1.848e-8 * cos[2.24194286719 + 168.0525127994 * tau] + 2.231e-8 * cos[5.42548168745 + 207.8824694666 * tau] + 1.755e-8 * cos[2.73425330428 + 291.262087743 * tau] + 2.236e-8 * cos[5.17945392885 + 99.1606209555 * tau] + 1.904e-8 * cos[4.60953896857 + 182.279606801 * tau] + 1.799e-8 * cos[2.06541260431 + 144.1465711632 * tau] + 1.933e-8 * cos[1.68771499202 + 350.3321196004 * tau] + 2.236e-8 * cos[4.22073549375 + 2221.856634597 * tau] + 2.128e-8 * cos[3.95329215734 + 1795.258443721 * tau] + 1.850e-8 * cos[3.57830449726 + 329.7251917809 * tau] + 1.852e-8 * cos[1.58508015515 + 424.1505103212 * tau] + 1.898e-8 * cos[1.30987536388 + 212.3358875915 * tau] + 2.498e-8 * cos[3.57572154405 + 2420.9286360334 * tau] + 1.920e-8 * cos[4.25647211328 + 546.956440482 * tau] + 1.937e-8 * cos[5.67082364247 + 28.4541880032 * tau] + 1.973e-8 * cos[2.28886138203 + 2627.1141844706 * tau] + 2.394e-8 * cos[3.46386258552 + 6275.9623029906 * tau] + 2.037e-8 * cos[4.63481160778 + 188.0263011725 * tau] + 2.124e-8 * cos[1.61210282593 + 218.9281697305 * tau] + 2.704e-8 * cos[2.88483697319 + 643.0786800517 * tau] + 2.492e-8 * cos[2.96129217279 + 2214.7430875962 * tau] + 2.693e-8 * cos[3.6215945647 + 436.8931316145 * tau] + 2.087e-8 * cos[3.37293958793 + 320.3240229197 * tau] + 2.250e-8 * cos[2.60474848767 + 305.3461693927 * tau] + 2.607e-8 * cos[5.10250482155 + 824.7421937488 * tau] + 2.679e-8 * cos[1.6897140187 + 208.633228992 * tau] + 2.129e-8 * cos[3.32497715011 + 358.9301393095 * tau] + 2.214e-8 * cos[3.37726228553 + 22.0914005278 * tau] + 2.316e-8 * cos[4.08445262041 + 131.5469622218 * tau] + 2.632e-8 * cos[1.12706218927 + 344.7030453079 * tau] + 2.385e-8 * cos[4.74063881551 + 218.7157214094 * tau] + 3.088e-8 * cos[0.40656113014 + 561.1835344836 * tau] + 2.993e-8 * cos[3.96957827454 + 9999.986450773 * tau] + 2.371e-8 * cos[0.89591351822 + 121.2520214833 * tau] + 3.116e-8 * cos[2.67220972004 + 52.6901980395 * tau] + 3.036e-8 * cos[2.5542667535 + 6069.7767545534 * tau] + 2.923e-8 * cos[4.21481009033 + 650.9429865779 * tau] + 2.889e-8 * cos[1.66674437398 + 213.3472795478 * tau] + 2.752e-8 * cos[5.0898453993 + 1169.5882514086 * tau] + 2.523e-8 * cos[5.30458920892 + 444.7574381407 * tau] + 2.876e-8 * cos[4.74720607366 + 213.2509113282 * tau] + 2.740e-8 * cos[5.73784096806 + 160.6088973985 * tau] + 3.245e-8 * cos[3.87540558646 + 85.8272988312 * tau] + 2.665e-8 * cos[2.31576422128 + 565.1156877467 * tau] + 2.626e-8 * cos[6.12701960244 + 273.1028404783 * tau] + 3.081e-8 * cos[5.6003473733 + 216.2198567448 * tau] + 2.683e-8 * cos[0.00956197492 + 195.8906076987 * tau] + 2.986e-8 * cos[0.88783591586 + 1279.794572628 * tau] + 2.884e-8 * cos[2.38477237305 + 181.0557665236 * tau] + 3.034e-8 * cos[5.46288652854 + 258.8757464767 * tau] + 3.072e-8 * cos[5.00675625396 + 312.4597163935 * tau] + 3.144e-8 * cos[1.61185684069 + 1073.6090241908 * tau] + 3.907e-8 * cos[4.1176719178 + 1781.0313497194 * tau] + 4.014e-8 * cos[5.17826893553 + 404.5067903482 * tau] + 3.199e-8 * cos[3.92123638342 + 1038.0412891868 * tau] + 2.881e-8 * cos[3.9081065024 + 312.1990839626 * tau] + 3.125e-8 * cos[4.09203641264 + 1478.8665740644 * tau] + 3.682e-8 * cos[3.78966280284 + 2104.5367663768 * tau] + 3.573e-8 * cos[5.5509724081 + 113.3877149571 * tau] + 3.026e-8 * cos[2.19331614526 + 217.964961884 * tau] + 3.389e-8 * cos[4.20503159673 + 337.732510659 * tau] + 3.180e-8 * cos[2.46319174788 + 867.4234757536 * tau] + 4.004e-8 * cos[5.45434102599 + 1692.1656695024 * tau] + 3.163e-8 * cos[1.26040995242 + 134.5853436076 * tau] + 3.118e-8 * cos[2.18465627368 + 1891.2376709388 * tau] + 3.260e-8 * cos[1.97623748027 + 203.7378678824 * tau] + 3.364e-8 * cos[3.27821747958 + 357.4456666012 * tau] + 3.399e-8 * cos[3.5183335608 + 629.6023455755 * tau] + 3.399e-8 * cos[0.54882815021 + 10213.285546211 * tau] + 3.827e-8 * cos[3.1204122849 + 635.9651330509 * tau] + 3.480e-8 * cos[1.81622589595 + 70.8494453042 * tau] + 3.561e-8 * cos[5.46414552453 + 6283.0758499914 * tau] + 3.598e-8 * cos[0.05255328597 + 32.2433289144 * tau] + 3.555e-8 * cos[4.08436297683 + 430.5303441391 * tau] + 3.576e-8 * cos[3.48080143501 + 388.4651552382 * tau] + 3.753e-8 * cos[0.87719890943 + 703.6331846174 * tau] + 3.657e-8 * cos[3.24680246734 + 362.8622925726 * tau] + 4.916e-8 * cos[3.12316267561 + 1898.3512179396 * tau] + 4.035e-8 * cos[2.92972681787 + 1994.3304451574 * tau] + 4.133e-8 * cos[2.90478811425 + 107.0249274817 * tau] + 4.045e-8 * cos[2.87666810085 + 38.1330356378 * tau] + 4.125e-8 * cos[1.98204847532 + 347.8844390456 * tau] + 5.112e-8 * cos[4.50449287745 + 416.3032501375 * tau] + 4.142e-8 * cos[1.91878383159 + 497.4476361802 * tau] + 4.873e-8 * cos[5.92092913946 + 618.5566453116 * tau] + 4.378e-8 * cos[0.80241129896 + 222.8603229936 * tau] + 4.525e-8 * cos[2.68827745072 + 9992.8729037722 * tau] + 4.514e-8 * cos[0.95293919611 + 343.2185725996 * tau] + 4.775e-8 * cos[0.76197795755 + 333.657345044 * tau] + 4.811e-8 * cos[5.78388270496 + 184.8449074348 * tau] + 4.712e-8 * cos[1.26507812515 + 6062.6632075526 * tau] + 4.817e-8 * cos[3.11549733365 + 2001.4439921582 * tau] + 4.534e-8 * cos[1.19648682598 + 200.7689224658 * tau] + 5.048e-8 * cos[2.44627820757 + 628.8515860501 * tau] + 4.915e-8 * cos[6.17790518458 + 483.2205421786 * tau] + 4.820e-8 * cos[3.30043078578 + 76.2660712756 * tau] + 5.505e-8 * cos[1.13479635941 + 56.6223513026 * tau] + 5.089e-8 * cos[5.04845206653 + 10007.0999977738 * tau] + 5.498e-8 * cos[4.19972735173 + 721.6494195302 * tau] + 5.311e-8 * cos[3.6252084951 + 6076.8903015542 * tau] + 5.101e-8 * cos[2.63866058897 + 288.0806940053 * tau] + 5.727e-8 * cos[4.35383078313 + 1905.4647649404 * tau] + 5.753e-8 * cos[4.14268749228 + 543.9180590962 * tau] + 7.175e-8 * cos[4.37855723752 + 1464.6394800628 * tau] + 6.678e-8 * cos[5.43046031699 + 508.3503240922 * tau] + 6.837e-8 * cos[4.83481646949 + 319.5732633943 * tau] + 6.171e-8 * cos[2.84712795642 + 138.5174968707 * tau] + 5.978e-8 * cos[0.55276980086 + 18.1592472647 * tau] + 6.501e-8 * cos[3.78204726337 + 313.2104759189 * tau] + 6.489e-8 * cos[1.33782087599 + 215.7467759928 * tau] + 6.249e-8 * cos[4.5560367194 + 106.2741679563 * tau] + 6.367e-8 * cos[4.00239137708 + 447.9388318784 * tau] + 7.539e-8 * cos[3.29482043104 + 750.1036075334 * tau] + 6.691e-8 * cos[4.37253800717 + 145.6310438715 * tau] + 7.579e-8 * cos[3.68311134272 + 846.0828347512 * tau] + 8.240e-8 * cos[4.04095881407 + 1788.1448967202 * tau] + 7.337e-8 * cos[2.00393601815 + 131.4039498699 * tau] + 9.175e-8 * cos[3.40072244924 + 1581.959348283 * tau] + 7.587e-8 * cos[6.08171425316 + 231.4583427027 * tau] + 7.914e-8 * cos[2.35624291874 + 1574.8458012822 * tau] + 8.460e-8 * cos[3.22691940753 + 1677.9385755008 * tau] + 8.617e-8 * cos[2.81294528041 + 99.9113804809 * tau] + 1.1295e-7 * cos[5.47808960704 + 1375.7737998458 * tau] + 9.563e-8 * cos[3.17317920222 + 351.8165923087 * tau] + 1.0323e-7 * cos[3.34460279759 + 1685.0521225016 * tau] + 1.0077e-7 * cos[5.20426583827 + 340.7708920448 * tau] + 1.3470e-7 * cos[1.90280407135 + 408.4389436113 * tau] + 1.4382e-7 * cos[4.68720080027 + 1148.2476104062 * tau] + 1.0614e-7 * cos[5.02845923229 + 137.0330241624 * tau] + 1.3963e-7 * cos[3.04990968366 + 423.4167971383 * tau] + 1.0673e-7 * cos[5.05234757424 + 191.2076949102 * tau] + 1.3449e-7 * cos[4.88710089777 + 437.6438911399 * tau] + 1.1193e-7 * cos[4.54981248285 + 81.7521332162 * tau] + 1.5424e-7 * cos[5.01335704925 + 127.4717966068 * tau] + 1.2959e-7 * cos[4.62359706368 + 1589.0728952838 * tau] + 1.5120e-7 * cos[3.59558424278 + 265.9892934775 * tau] + 1.2023e-7 * cos[2.32917797741 + 210.8514148832 * tau] + 1.2586e-7 * cos[3.13794576887 + 74.7815985673 * tau] + 1.3458e-7 * cos[0.32327889681 + 295.0512286542 * tau] + 1.7692e-7 * cos[4.31141612385 + 1471.7530270636 * tau] + 2.1099e-7 * cos[3.62102032955 + 1265.5674786264 * tau] + 1.6097e-7 * cos[1.73396878598 + 490.3340891794 * tau] + 1.7261e-7 * cos[3.49414816663 + 1361.5467058442 * tau] + 1.7062e-7 * cos[3.27669927228 + 654.1243803156 * tau] + 1.9713e-7 * cos[2.52194629263 + 1258.4539316256 * tau] + 2.1639e-7 * cos[1.03836302307 + 11.0457002639 * tau] + 2.7187e-7 * cos[1.66347897738 + 277.0349937414 * tau] + 2.2108e-7 * cos[2.76092021113 + 415.5524906121 * tau] + 2.6332e-7 * cos[4.4525327339 + 223.5940361765 * tau] + 2.4305e-7 * cos[5.31133255082 + 10.2949407385 * tau] + 3.3011e-7 * cos[4.96879544579 + 831.8557407496 * tau] + 2.9963e-7 * cos[3.66312205813 + 429.7795846137 * tau] + 2.6283e-7 * cos[4.81567477177 + 124.433415221 * tau] + 2.5829e-7 * cos[3.54946335477 + 1368.660252845 * tau] + 3.5202e-7 * cos[5.94478241578 + 1059.3819301892 * tau] + 2.9658e-7 * cos[1.58886982096 + 1066.49547719 * tau] + 3.9430e-7 * cos[3.50858482049 + 422.6660376129 * tau] + 3.0218e-7 * cos[4.3518629447 + 405.2575498736 * tau] + 3.1373e-7 * cos[4.84075951849 + 1272.6810256272 * tau] + 3.0412e-7 * cos[2.48140171991 + 860.3099287528 * tau] + 4.1073e-7 * cos[4.57870454147 + 1155.361157407 * tau] + 3.3576e-7 * cos[3.80465978802 + 149.5631971346 * tau] + 3.5285e-7 * cos[2.90795856092 + 284.1485407422 * tau] + 3.7583e-7 * cos[4.18924633757 + 536.8045120954 * tau] + 3.8398e-7 * cos[3.73966157784 + 1045.1548361876 * tau] + 5.2847e-7 * cos[3.92623831484 + 949.1756089698 * tau] + 4.1357e-7 * cos[3.73496404402 + 316.3918696566 * tau] + 4.4858e-7 * cos[0.56460613593 + 269.9214467406 * tau] + 4.1649e-7 * cos[4.79014211005 + 63.7358983034 * tau] + 5.0635e-7 * cos[2.77318570728 + 942.062061969 * tau] + 5.2940e-7 * cos[5.07780548444 + 330.6189636582 * tau] + 5.5979e-7 * cos[4.8410842286 + 234.6397364404 * tau] + 5.6987e-7 * cos[3.14666549033 + 203.0041546995 * tau] + 6.2541e-7 * cos[2.18445116349 + 195.1398481733 * tau] + 6.4088e-7 * cos[5.81235002453 + 529.6909650946 * tau] + 6.5168e-7 * cos[3.77713343518 + 1052.2683831884 * tau] + 6.9228e-7 * cos[4.04901237761 + 3.9321532631 * tau] + 9.6412e-7 * cos[6.25859229567 + 742.9900605326 * tau] + 8.1468e-7 * cos[5.10897365253 + 956.2891559706 * tau] + 7.8609e-7 * cos[5.72525447528 + 21.3406410024 * tau] + 0.00000108701 * cos[5.29310899841 + 515.463871093 * tau] + 9.3852e-7 * cos[4.38395529912 + 217.2312487011 * tau] + 0.00000119053 * cos[5.55385105975 + 224.3447957019 * tau] + 0.00000110709 * cos[4.77853798276 + 838.9692877504 * tau] + 9.7235e-7 * cos[4.01832604356 + 728.762966531 * tau] + 0.00000131975 * cos[5.93293968941 + 309.2783226558 * tau] + 0.00000100367 * cos[5.46056190585 + 3.1813937377 * tau] + 0.00000133076 * cos[2.5935046942 + 191.9584544356 * tau] + 0.00000123189 * cos[4.18895309647 + 88.865680217 * tau] + 0.00000147779 * cos[0.13614300541 + 302.164775655 * tau] + 0.00000153656 * cos[3.13470530382 + 625.6701923124 * tau] + 0.00000180143 * cos[3.59704903955 + 632.7837393132 * tau] + 0.00000178474 * cos[4.09716541453 + 440.8252848776 * tau] + 0.00000206854 * cos[4.02188336738 + 735.8765135318 * tau] + 0.00000204494 * cos[0.0877484859 + 202.2533951741 * tau] + 0.00000405018 * cos[4.17294157872 + 209.3669421749 * tau] + 0.00000325598 * cos[2.26867601656 + 853.196381752 * tau] + 0.00000431485 * cos[5.17825414612 + 522.5774180938 * tau] + 0.00000390627 * cos[4.48106176893 + 216.4804891757 * tau] + 0.0000035635 * cos[3.19152043942 + 210.1177017003 * tau] + 0.00000360882 * cos[3.27703082368 + 647.0108333148 * tau] + 0.00000373838 * cos[5.83435991809 + 117.3198682202 * tau] + 0.00000546115 * cos[4.12854181522 + 412.3710968744 * tau] + 0.00000705936 * cos[2.97081280098 + 95.9792272178 * tau] + 0.0000092384 * cos[5.46392422737 + 323.5054166574 * tau] + 0.00002326801 * cos[0.0 + 0.0 * tau] + 0.00001956896 * cos[4.92448618045 + 227.5261894396 * tau] + 0.00002187621 * cos[5.85545832218 + 14.2270940016 * tau] + 0.00002208457 * cos[6.27588858707 + 110.2063212194 * tau] + 0.00002556363 * cos[2.85065721526 + 419.4846438752 * tau] + 0.0000296399 * cos[1.37206248846 + 103.0927742186 * tau] + 0.0000378937 * cos[3.09771025067 + 639.897286314 * tau] + 0.00004720909 * cos[2.47527992423 + 199.0720014364 * tau] + 0.0000414165 * cos[4.10670940823 + 433.7117378768 * tau] + 0.00029645554 * cos[5.96310264282 + 7.1135470008 * tau] + 0.00043220894 * cos[3.86940443794 + 426.598190876 * tau] + 0.00049766792 * cos[4.9716815087 + 220.4126424388 * tau] + 0.0007192276 * cos[2.50069994874 + 206.1855484372 * tau] + 0.00436902464 * cos[4.78671673044 + 213.299095438 * tau]; R3 = 6.91e-9 * cos[3.13193109668 + 56.6223513026 * tau] + 7.72e-9 * cos[1.15596098579 + 3053.7123753466 * tau] + 7.17e-9 * cos[5.92144324994 + 1685.0521225016 * tau] + 8.31e-9 * cos[5.87457134912 + 1368.660252845 * tau] + 1.024e-8 * cos[4.23352869513 + 1802.3719907218 * tau] + 7.65e-9 * cos[4.7003367494 + 1670.8250285 * tau] + 7.95e-9 * cos[2.3817813581 + 2228.9701815978 * tau] + 9.90e-9 * cos[5.32604038017 + 2428.0421830342 * tau] + 7.79e-9 * cos[2.28434811609 + 1478.8665740644 * tau] + 8.09e-9 * cos[2.89742868175 + 2008.557539159 * tau] + 8.43e-9 * cos[1.23731248821 + 74.7815985673 * tau] + 8.66e-9 * cos[3.1625926563 + 2207.6295405954 * tau] + 8.88e-9 * cos[5.98816755324 + 2524.021410252 * tau] + 8.51e-9 * cos[0.09360495322 + 628.8515860501 * tau] + 1.035e-8 * cos[4.05664979327 + 231.4583427027 * tau] + 9.59e-9 * cos[0.74479087918 + 16.6747745564 * tau] + 1.082e-8 * cos[4.48298283322 + 2214.7430875962 * tau] + 8.72e-9 * cos[6.26261969664 + 2.4476805548 * tau] + 8.79e-9 * cos[2.65659265685 + 145.6310438715 * tau] + 8.78e-9 * cos[2.96591300878 + 934.9485149682 * tau] + 8.80e-9 * cos[1.92224908504 + 483.2205421786 * tau] + 1.072e-8 * cos[5.41838042079 + 1279.794572628 * tau] + 1.030e-8 * cos[1.08973644893 + 362.8622925726 * tau] + 9.46e-9 * cos[6.25968535931 + 2015.6710861598 * tau] + 1.070e-8 * cos[4.80334493874 + 1987.2168981566 * tau] + 1.230e-8 * cos[1.41325962069 + 2634.2277314714 * tau] + 9.69e-9 * cos[5.90752273481 + 265.9892934775 * tau] + 1.116e-8 * cos[3.78039049056 + 1375.7737998458 * tau] + 1.218e-8 * cos[0.47504349592 + 824.7421937488 * tau] + 1.082e-8 * cos[3.7258944551 + 131.4039498699 * tau] + 1.046e-8 * cos[5.85060227045 + 215.7467759928 * tau] + 1.076e-8 * cos[0.79465514815 + 127.4717966068 * tau] + 1.145e-8 * cos[3.10797488346 + 2200.5159935946 * tau] + 1.377e-8 * cos[5.58271514873 + 1382.8873468466 * tau] + 1.071e-8 * cos[0.04888943982 + 63.7358983034 * tau] + 1.274e-8 * cos[2.29089799814 + 2420.9286360334 * tau] + 1.178e-8 * cos[2.97062300389 + 241.7532834412 * tau] + 1.145e-8 * cos[5.13093399117 + 25.2727942655 * tau] + 1.458e-8 * cos[1.50198846753 + 430.5303441391 * tau] + 1.122e-8 * cos[3.9553722427 + 1891.2376709388 * tau] + 1.126e-8 * cos[4.70052329245 + 113.3877149571 * tau] + 1.124e-8 * cos[1.79624810407 + 618.5566453116 * tau] + 1.352e-8 * cos[0.69945139243 + 867.4234757536 * tau] + 1.469e-8 * cos[5.35285153471 + 1354.4331588434 * tau] + 1.665e-8 * cos[0.02551523913 + 423.4167971383 * tau] + 1.312e-8 * cos[3.79347668996 + 1567.7322542814 * tau] + 1.482e-8 * cos[0.99340744053 + 643.0786800517 * tau] + 1.462e-8 * cos[3.28599831588 + 1884.124123938 * tau] + 1.805e-8 * cos[1.50973093681 + 750.1036075334 * tau] + 1.442e-8 * cos[5.32547705924 + 2538.2485042536 * tau] + 1.507e-8 * cos[3.84895122542 + 1251.3403846248 * tau] + 1.585e-8 * cos[5.96841377266 + 1781.0313497194 * tau] + 1.391e-8 * cos[4.1202502856 + 1574.8458012822 * tau] + 1.645e-8 * cos[2.95335775161 + 437.6438911399 * tau] + 1.456e-8 * cos[0.85374460914 + 415.5524906121 * tau] + 1.771e-8 * cos[6.11741716855 + 1073.6090241908 * tau] + 1.566e-8 * cos[6.15328100324 + 490.3340891794 * tau] + 1.809e-8 * cos[1.82317819973 + 436.8931316145 * tau] + 1.659e-8 * cos[2.57526072926 + 2090.3096723752 * tau] + 1.492e-8 * cos[0.26624235633 + 497.4476361802 * tau] + 1.577e-8 * cos[0.55789908488 + 2324.9494088156 * tau] + 1.617e-8 * cos[1.75479346067 + 195.8906076987 * tau] + 1.541e-8 * cos[0.60765337379 + 210.8514148832 * tau] + 1.838e-8 * cos[5.59464577559 + 1038.0412891868 * tau] + 1.963e-8 * cos[6.17814558628 + 1464.6394800628 * tau] + 1.946e-8 * cos[6.23355845623 + 1471.7530270636 * tau] + 1.913e-8 * cos[5.17436386408 + 2854.6403739102 * tau] + 1.743e-8 * cos[4.57646237847 + 1994.3304451574 * tau] + 1.900e-8 * cos[2.41000566465 + 131.5469622218 * tau] + 2.389e-8 * cos[5.73399981234 + 313.2104759189 * tau] + 1.893e-8 * cos[5.62352727352 + 11.0457002639 * tau] + 1.886e-8 * cos[0.53809070779 + 635.9651330509 * tau] + 1.935e-8 * cos[2.41463084855 + 337.732510659 * tau] + 2.490e-8 * cos[4.24017800021 + 1059.3819301892 * tau] + 1.990e-8 * cos[0.51565577383 + 416.3032501375 * tau] + 2.324e-8 * cos[5.87500715503 + 721.6494195302 * tau] + 2.585e-8 * cos[2.31346415454 + 543.9180590962 * tau] + 2.450e-8 * cos[3.22118361135 + 319.5732633943 * tau] + 2.536e-8 * cos[3.71412120849 + 408.4389436113 * tau] + 2.337e-8 * cos[1.30362271569 + 184.8449074348 * tau] + 2.881e-8 * cos[5.40535671721 + 1361.5467058442 * tau] + 2.608e-8 * cos[2.99591016813 + 1589.0728952838 * tau] + 2.790e-8 * cos[4.97199778427 + 1677.9385755008 * tau] + 2.763e-8 * cos[0.92363342001 + 508.3503240922 * tau] + 3.146e-8 * cos[0.19215180096 + 1148.2476104062 * tau] + 2.977e-8 * cos[1.8938734255 + 149.5631971346 * tau] + 3.019e-8 * cos[2.19411778004 + 447.9388318784 * tau] + 2.915e-8 * cos[5.64342950039 + 3.9321532631 * tau] + 3.773e-8 * cos[6.01157059552 + 1052.2683831884 * tau] + 3.951e-8 * cos[0.11124996745 + 1155.361157407 * tau] + 3.655e-8 * cos[0.05832123987 + 81.7521332162 * tau] + 3.268e-8 * cos[4.32777516976 + 1258.4539316256 * tau] + 4.450e-8 * cos[0.9247780859 + 203.0041546995 * tau] + 4.264e-8 * cos[3.23245736673 + 1272.6810256272 * tau] + 5.649e-8 * cos[0.82784598388 + 217.2312487011 * tau] + 6.189e-8 * cos[6.0143382752 + 1066.49547719 * tau] + 5.544e-8 * cos[2.46823271699 + 536.8045120954 * tau] + 6.556e-8 * cos[3.42459866876 + 10.2949407385 * tau] + 5.034e-8 * cos[2.12020038657 + 295.0512286542 * tau] + 5.564e-8 * cos[4.18123189068 + 529.6909650946 * tau] + 5.589e-8 * cos[1.14518720694 + 284.1485407422 * tau] + 6.119e-8 * cos[2.33960392135 + 269.9214467406 * tau] + 7.934e-8 * cos[4.20112367712 + 195.1398481733 * tau] + 7.693e-8 * cos[0.43769724671 + 831.8557407496 * tau] + 6.817e-8 * cos[4.83084424818 + 316.3918696566 * tau] + 8.067e-8 * cos[4.48457709292 + 742.9900605326 * tau] + 6.970e-8 * cos[1.51811695028 + 422.6660376129 * tau] + 7.058e-8 * cos[5.47394786065 + 1045.1548361876 * tau] + 7.564e-8 * cos[1.45635107202 + 654.1243803156 * tau] + 8.652e-8 * cos[1.75808100881 + 429.7795846137 * tau] + 9.243e-8 * cos[2.57034547708 + 223.5940361765 * tau] + 1.0091e-7 * cos[0.28268774007 + 838.9692877504 * tau] + 7.482e-8 * cos[4.50669216436 + 942.062061969 * tau] + 1.0023e-7 * cos[0.58247011625 + 860.3099287528 * tau] + 8.737e-8 * cos[4.65432480769 + 632.7837393132 * tau] + 9.144e-8 * cos[2.93557421591 + 124.433415221 * tau] + 1.0500e-7 * cos[6.06911092266 + 405.2575498736 * tau] + 1.1551e-7 * cos[5.99093726182 + 735.8765135318 * tau] + 9.978e-8 * cos[1.58791582772 + 202.2533951741 * tau] + 1.1082e-7 * cos[3.41719974793 + 956.2891559706 * tau] + 1.1090e-7 * cos[3.37212682914 + 224.3447957019 * tau] + 1.3437e-7 * cos[3.36479898106 + 330.6189636582 * tau] + 1.6927e-7 * cos[3.52771580455 + 3.1813937377 * tau] + 1.8009e-7 * cos[1.45593152612 + 309.2783226558 * tau] + 1.7485e-7 * cos[5.73135068691 + 728.762966531 * tau] + 2.5070e-7 * cos[0.73137425284 + 515.463871093 * tau] + 2.0824e-7 * cos[4.92570695678 + 625.6701923124 * tau] + 2.4976e-7 * cos[3.06249709014 + 234.6397364404 * tau] + 2.8209e-7 * cos[5.77193013961 + 210.1177017003 * tau] + 4.0671e-7 * cos[0.6884518321 + 522.5774180938 * tau] + 3.2243e-7 * cos[4.01146349387 + 21.3406410024 * tau] + 3.8089e-7 * cos[5.94455115525 + 88.865680217 * tau] + 4.0498e-7 * cos[1.83836569765 + 302.164775655 * tau] + 5.4829e-7 * cos[0.30526468471 + 853.196381752 * tau] + 4.9536e-7 * cos[2.38854232908 + 209.3669421749 * tau] + 4.5145e-7 * cos[4.37317047297 + 191.9584544356 * tau] + 6.2198e-7 * cos[2.31239345505 + 440.8252848776 * tau] + 8.4347e-7 * cos[2.63462379693 + 216.4804891757 * tau] + 7.2601e-7 * cos[4.15395598507 + 117.3198682202 * tau] + 9.3078e-7 * cos[1.43531270909 + 647.0108333148 * tau] + 0.00000102146 * cos[4.70974422803 + 95.9792272178 * tau] + 0.00000101215 * cos[5.81884137755 + 412.3710968744 * tau] + 0.00000121442 * cos[3.76831374104 + 323.5054166574 * tau] + 0.00000149508 * cos[3.201994444 + 103.0927742186 * tau] + 0.0000018825 * cos[4.59003889007 + 110.2063212194 * tau] + 0.00000229472 * cos[4.69838526383 + 419.4846438752 * tau] + 0.00000393174 * cos[0.0 + 0.0 * tau] + 0.00000483181 * cos[1.17345973258 + 639.897286314 * tau] + 0.00000596639 * cos[4.13455753351 + 14.2270940016 * tau] + 0.00000606121 * cos[3.17458570534 + 227.5261894396 * tau] + 0.00000907332 * cos[2.28344368029 + 433.7117378768 * tau] + 0.00001070788 * cos[4.20360341236 + 199.0720014364 * tau] + 0.00003879041 * cos[2.01056445995 + 426.598190876 * tau] + 0.00004087129 * cos[4.22406927376 + 7.1135470008 * tau] + 0.00006908677 * cos[4.35174889353 + 206.1855484372 * tau] + 0.00008923581 * cos[3.19144205755 + 220.4126424388 * tau] + 0.00020315005 * cos[3.02186626038 + 213.299095438 * tau]; R4 = 7.16e-9 * cos[1.11042181341 + 1169.5882514086 * tau] + 9.69e-9 * cos[1.00708261792 + 1045.1548361876 * tau] + 7.80e-9 * cos[2.72125404102 + 508.3503240922 * tau] + 8.17e-9 * cos[4.92838813598 + 56.6223513026 * tau] + 1.050e-8 * cos[1.59202481523 + 735.8765135318 * tau] + 9.85e-9 * cos[3.05768671768 + 1574.8458012822 * tau] + 9.50e-9 * cos[5.3608071329 + 316.3918696566 * tau] + 1.164e-8 * cos[5.9695798184 + 195.1398481733 * tau] + 1.301e-8 * cos[1.64867038984 + 17.4084877393 * tau] + 1.125e-8 * cos[0.89062692183 + 721.6494195302 * tau] + 1.409e-8 * cos[0.72254420236 + 536.8045120954 * tau] + 1.487e-8 * cos[2.11906469507 + 529.6909650946 * tau] + 1.190e-8 * cos[1.89600567803 + 956.2891559706 * tau] + 1.133e-8 * cos[1.11512973946 + 838.9692877504 * tau] + 1.505e-8 * cos[5.95520747253 + 422.6660376129 * tau] + 1.600e-8 * cos[5.41185167676 + 824.7421937488 * tau] + 1.902e-8 * cos[2.00472814984 + 831.8557407496 * tau] + 1.772e-8 * cos[0.81879250825 + 223.5940361765 * tau] + 1.641e-8 * cos[3.0246830755 + 184.8449074348 * tau] + 1.672e-8 * cos[1.39635398184 + 224.3447957019 * tau] + 1.809e-8 * cos[0.09057839517 + 942.062061969 * tau] + 2.180e-8 * cos[0.72761059998 + 625.6701923124 * tau] + 2.248e-8 * cos[0.49319150178 + 447.9388318784 * tau] + 2.020e-8 * cos[3.89394929749 + 1066.49547719 * tau] + 2.110e-8 * cos[0.75462855247 + 295.0512286542 * tau] + 2.127e-8 * cos[6.14648095022 + 429.7795846137 * tau] + 2.220e-8 * cos[3.28087994088 + 203.0041546995 * tau] + 3.088e-8 * cos[1.32258934286 + 728.762966531 * tau] + 2.464e-8 * cos[1.19167306488 + 124.433415221 * tau] + 3.099e-8 * cos[0.75235436533 + 209.3669421749 * tau] + 4.005e-8 * cos[1.59858435636 + 405.2575498736 * tau] + 3.220e-8 * cos[2.72684237392 + 522.5774180938 * tau] + 4.447e-8 * cos[4.97415112184 + 860.3099287528 * tau] + 4.364e-8 * cos[5.97349927933 + 654.1243803156 * tau] + 3.676e-8 * cos[3.29899839673 + 210.1177017003 * tau] + 4.364e-8 * cos[1.59622746023 + 330.6189636582 * tau] + 4.410e-8 * cos[0.02211643085 + 191.9584544356 * tau] + 6.059e-8 * cos[5.1677444874 + 103.0927742186 * tau] + 4.834e-8 * cos[2.58836294602 + 515.463871093 * tau] + 9.552e-8 * cos[3.14159265359 + 0.0 * tau] + 8.360e-8 * cos[1.27239488455 + 234.6397364404 * tau] + 7.823e-8 * cos[4.48688804175 + 853.196381752 * tau] + 7.674e-8 * cos[3.59367715368 + 302.164775655 * tau] + 8.970e-8 * cos[0.68301278041 + 216.4804891757 * tau] + 9.246e-8 * cos[1.5649631283 + 88.865680217 * tau] + 9.233e-8 * cos[2.28127318068 + 21.3406410024 * tau] + 1.1320e-7 * cos[0.21785507019 + 95.9792272178 * tau] + 1.1133e-7 * cos[2.4630482599 + 117.3198682202 * tau] + 1.4724e-7 * cos[0.29905316786 + 419.4846438752 * tau] + 1.2708e-7 * cos[2.09349305926 + 323.5054166574 * tau] + 1.4074e-7 * cos[1.30343550656 + 412.3710968744 * tau] + 1.8954e-7 * cos[5.85626429118 + 647.0108333148 * tau] + 1.6668e-7 * cos[0.52920774279 + 440.8252848776 * tau] + 1.5745e-7 * cos[2.90112466278 + 110.2063212194 * tau] + 4.7332e-7 * cos[5.56857488676 + 639.897286314 * tau] + 0.00000121033 * cos[2.40527320817 + 14.2270940016 * tau] + 0.00000150339 * cos[0.4797016714 + 433.7117378768 * tau] + 0.00000145113 * cos[1.44211060143 + 227.5261894396 * tau] + 0.00000170171 * cos[5.95926972384 + 199.0720014364 * tau] + 0.00000267736 * cos[0.18659206741 + 426.598190876 * tau] + 0.00000426664 * cos[2.46924890293 + 7.1135470008 * tau] + 0.00000516121 * cos[6.2397356833 + 206.1855484372 * tau] + 0.00000707796 * cos[1.16153570102 + 213.299095438 * tau] + 0.0000120205 * cos[1.41499446465 + 220.4126424388 * tau]; R5 = 8.37e-9 * cos[5.04769794123 + 124.433415221 * tau] + 7.98e-9 * cos[0.37452846153 + 28.4541880032 * tau] + 1.141e-8 * cos[0.15741228205 + 412.3710968744 * tau] + 8.96e-9 * cos[5.22791858719 + 216.4804891757 * tau] + 1.285e-8 * cos[5.82563377753 + 234.6397364404 * tau] + 1.102e-8 * cos[5.98011943842 + 3.1813937377 * tau] + 1.678e-8 * cos[0.0 + 0.0 * tau] + 1.560e-8 * cos[0.85608042681 + 515.463871093 * tau] + 2.028e-8 * cos[0.56025552769 + 117.3198682202 * tau] + 1.591e-8 * cos[2.67009215574 + 853.196381752 * tau] + 2.052e-8 * cos[3.31663577368 + 95.9792272178 * tau] + 1.950e-8 * cos[5.3272924778 + 302.164775655 * tau] + 2.338e-8 * cos[3.69553554327 + 88.865680217 * tau] + 2.883e-8 * cos[3.18003019204 + 419.4846438752 * tau] + 3.303e-8 * cos[4.07190859545 + 647.0108333148 * tau] + 3.759e-8 * cos[4.89624165044 + 440.8252848776 * tau] + 2.917e-8 * cos[0.48665273315 + 323.5054166574 * tau] + 3.136e-8 * cos[4.65661021909 + 191.9584544356 * tau] + 4.876e-8 * cos[3.61448275002 + 639.897286314 * tau] + 7.257e-8 * cos[4.62966127155 + 213.299095438 * tau] + 1.3364e-7 * cos[4.5882699637 + 426.598190876 * tau] + 1.4097e-7 * cos[2.67074280191 + 206.1855484372 * tau] + 1.3537e-7 * cos[1.45669521408 + 199.0720014364 * tau] + 2.0223e-7 * cos[4.95136801768 + 433.7117378768 * tau] + 1.9923e-7 * cos[0.67370653385 + 14.2270940016 * tau] + 2.6698e-7 * cos[5.91428528629 + 227.5261894396 * tau] + 3.2273e-7 * cos[0.69256228602 + 7.1135470008 * tau] + 0.00000128612 * cos[5.91282565136 + 220.4126424388 * tau]; L = ((L0 + L1 tau + L2 tau^2 + L3 tau^3 + L4 tau^4 + L5 tau^5) radians) mod circle B = ((B0 + B1 tau + B2 tau^2 + B3 tau^3 + B4 tau^4 + B5 tau^5) radians) mod circle R = (R0 + R1 tau + R2 tau^2 + R3 tau^3 + R4 tau^4 + R5 tau^5) au return [L, B, R] } // // Uranus // // This function calculates the heliocentric coordinates of Uranus // referred to the mean equinox *of the date*. You may want to convert this // to another coordinate system, such as FK5. // // arguments: // d: the date/time to be calculated for // // returns: // [L, B, R] // // Where // L is the heliocentric longitude, // B is the heliocentric latitude // R is the distance from the sun. class var UranusHeliocentricCoordinates = {|d| tau = meeusT[d] / 10 L0 = 1.36e-9 * cos[2.80772094137 + 374.4986936675 * tau] + 1.17e-9 * cos[5.37802827323 + 293.7097682978 * tau] + 1.14e-9 * cos[4.48142283161 + 224.8660605637 * tau] + 1.15e-9 * cos[4.38951350436 + 343.2185725996 * tau] + 1.27e-9 * cos[2.3830922723 + 208.8456773131 * tau] + 1.31e-9 * cos[5.76525548944 + 75.4359898731 * tau] + 1.17e-9 * cos[5.4864227361 + 437.6438911399 * tau] + 1.34e-9 * cos[1.5227717792 + 154.6710065653 * tau] + 1.19e-9 * cos[1.48229220689 + 237.4174853953 * tau] + 1.68e-9 * cos[4.7316454297 + 108.7218485111 * tau] + 1.34e-9 * cos[1.35779558361 + 249.9476583675 * tau] + 1.33e-9 * cos[2.95376828791 + 75.1541055828 * tau] + 1.38e-9 * cos[4.68330115148 + 517.1607921224 * tau] + 1.63e-9 * cos[0.99316178485 + 94.4253185403 * tau] + 1.37e-9 * cos[4.77137510538 + 73.4571845534 * tau] + 1.73e-9 * cos[5.03552846066 + 415.2918581812 * tau] + 1.28e-9 * cos[1.75773421717 + 77.7023598741 * tau] + 1.37e-9 * cos[2.88313323946 + 765.8846102125 * tau] + 1.32e-9 * cos[3.15466226029 + 523.4711899711 * tau] + 1.64e-9 * cos[5.37129563471 + 457.3570470821 * tau] + 1.53e-9 * cos[0.11158566352 + 138.6293714553 * tau] + 1.70e-9 * cos[2.97437423989 + 3191.0492295652 * tau] + 1.45e-9 * cos[1.72582731815 + 302.3772239761 * tau] + 1.72e-9 * cos[2.01712700688 + 973.554631358 * tau] + 1.62e-9 * cos[0.60896273267 + 73.0364934281 * tau] + 1.92e-9 * cos[6.19629054455 + 312.1990839626 * tau] + 1.54e-9 * cos[3.37462128317 + 138.4056222861 * tau] + 1.55e-9 * cos[2.07144269719 + 91.2439248026 * tau] + 1.60e-9 * cos[3.16134209902 + 70.0462961521 * tau] + 1.81e-9 * cos[4.75684139861 + 71.1582618449 * tau] + 1.95e-9 * cos[3.09114364733 + 294.3004691288 * tau] + 1.72e-9 * cos[2.8842064282 + 233.533516242 * tau] + 2.04e-9 * cos[3.47423038287 + 564.8550553158 * tau] + 1.79e-9 * cos[0.35410767087 + 421.2297490144 * tau] + 1.98e-9 * cos[2.80749830888 + 225.3080035484 * tau] + 1.47e-9 * cos[4.74903152642 + 73.3453099688 * tau] + 1.53e-9 * cos[3.77492020946 + 768.8535556291 * tau] + 1.56e-9 * cos[1.296434692 + 216.2680408546 * tau] + 1.47e-9 * cos[2.15517092627 + 73.2489417492 * tau] + 1.72e-9 * cos[2.97938676702 + 327.4375699205 * tau] + 1.58e-9 * cos[0.81666479221 + 987.5692770385 * tau] + 2.03e-9 * cos[0.68701289007 + 1363.2436268736 * tau] + 2.06e-9 * cos[0.83764718449 + 104.8378793578 * tau] + 1.59e-9 * cos[3.62343846627 + 73.9784494152 * tau] + 2.19e-9 * cos[1.96273394194 + 313.6835566709 * tau] + 2.19e-9 * cos[1.63985385568 + 630.3360587584 * tau] + 1.60e-9 * cos[4.20015913513 + 433.7117378768 * tau] + 1.72e-9 * cos[1.45073604378 + 995.6460318858 * tau] + 1.70e-9 * cos[2.58526747515 + 1515.7757694248 * tau] + 1.94e-9 * cos[6.07381783144 + 520.129737539 * tau] + 2.16e-9 * cos[1.54874566441 + 1060.8664028975 * tau] + 1.70e-9 * cos[1.614053401 + 1512.8068240082 * tau] + 2.11e-9 * cos[1.72999855867 + 10213.285546211 * tau] + 1.76e-9 * cos[3.85133296117 + 605.9570363702 * tau] + 1.72e-9 * cos[0.91255921858 + 210.8514148832 * tau] + 2.10e-9 * cos[2.49819501106 + 128.4350044533 * tau] + 2.25e-9 * cos[4.81504648561 + 88.274979386 * tau] + 2.33e-9 * cos[0.63169996424 + 980.6681783588 * tau] + 1.75e-9 * cos[5.85737374379 + 170.7126416753 * tau] + 1.77e-9 * cos[3.87122035013 + 389.6889955156 * tau] + 2.21e-9 * cos[2.88670838151 + 238.9019581036 * tau] + 1.93e-9 * cos[4.48974066435 + 172.1971143836 * tau] + 2.23e-9 * cos[2.57722930616 + 981.6313862053 * tau] + 2.40e-9 * cos[0.71559872262 + 525.7588118315 * tau] + 2.05e-9 * cos[0.3383968395 + 143.3434220111 * tau] + 2.26e-9 * cos[1.66139333004 + 1366.2125722902 * tau] + 2.23e-9 * cos[0.98087204684 + 627.3671133418 * tau] + 2.01e-9 * cos[1.23733749784 + 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2.086e-8 * cos[0.44287700052 + 10.2949407385 * tau] + 2.055e-8 * cos[0.05798973044 + 205.2223405907 * tau] + 2.222e-8 * cos[4.36573603431 + 468.2426886516 * tau] + 2.010e-8 * cos[1.49945418027 + 29.226199388 * tau] + 2.121e-8 * cos[2.00302088316 + 106.0135355254 * tau] + 2.222e-8 * cos[0.96973865202 + 39.0962434843 * tau] + 1.873e-8 * cos[5.5539980591 + 175.1660598002 * tau] + 2.258e-8 * cos[5.32927779367 + 908.3342603463 * tau] + 2.058e-8 * cos[1.69362390174 + 65.8747623175 * tau] + 2.663e-8 * cos[5.43112910549 + 3265.8308281325 * tau] + 2.606e-8 * cos[0.43601023323 + 439.782755154 * tau] + 1.904e-8 * cos[3.45282024423 + 472.1748419147 * tau] + 2.471e-8 * cos[3.51033894778 + 8.5980197091 * tau] + 1.910e-8 * cos[0.27727117649 + 69.1525242748 * tau] + 2.282e-8 * cos[2.79530897096 + 22.633917249 * tau] + 1.967e-8 * cos[5.43918682709 + 199.2844497575 * tau] + 1.974e-8 * cos[5.79881978458 + 11.1575748485 * tau] + 2.416e-8 * cos[4.11932546205 + 332.8060117821 * tau] + 2.717e-8 * 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+ 2.6989e-7 * cos[6.27711247734 + 28.5718080822 * tau] + 2.5848e-7 * cos[0.54461409359 + 41.6444977756 * tau] + 2.6233e-7 * cos[3.63172504384 + 490.3340891794 * tau] + 2.9915e-7 * cos[3.87358632506 + 259.5088859231 * tau] + 3.4472e-7 * cos[1.07907945481 + 191.2076949102 * tau] + 2.6530e-7 * cos[4.48265986115 + 373.9079928365 * tau] + 2.7323e-7 * cos[2.10164372072 + 209.3669421749 * tau] + 3.5361e-7 * cos[3.7225869003 + 692.5874843535 * tau] + 3.5442e-7 * cos[1.96652806541 + 835.0371344873 * tau] + 3.6279e-7 * cos[1.66586085405 + 258.0244132148 * tau] + 2.7577e-7 * cos[2.18261286374 + 125.9873238985 * tau] + 3.9775e-7 * cos[6.05600836903 + 293.188503436 * tau] + 3.4795e-7 * cos[0.39363490236 + 1.3725981237 * tau] + 4.1695e-7 * cos[3.82438031124 + 81.0013736908 * tau] + 3.1865e-7 * cos[5.50961503408 + 72.3339180125 * tau] + 3.2538e-7 * cos[4.21625657443 + 200.7689224658 * tau] + 4.0024e-7 * cos[0.69889667397 + 218.4069048687 * tau] + 3.4827e-7 * cos[1.02792863024 + 203.7378678824 * tau] + 3.8669e-7 * cos[5.58941074168 + 99.1606209555 * tau] + 3.4229e-7 * cos[2.93967782207 + 140.001969579 * tau] + 4.0088e-7 * cos[4.57333927519 + 46.2097904851 * tau] + 4.6087e-7 * cos[4.36201639577 + 75.7448064138 * tau] + 3.8640e-7 * cos[3.43597050177 + 153.4953503977 * tau] + 3.7581e-7 * cos[6.06822931932 + 211.8146227297 * tau] + 4.5382e-7 * cos[0.48053933052 + 14.0146456805 * tau] + 5.8112e-7 * cos[1.58629352171 + 60.7669528868 * tau] + 5.7894e-7 * cos[2.66877593418 + 381.6122406683 * tau] + 5.3744e-7 * cos[5.51890986247 + 128.9562693151 * tau] + 5.0289e-7 * cos[1.12279384633 + 20.6069278195 * tau] + 5.7634e-7 * cos[3.67180685401 + 51.2057253312 * tau] + 6.1661e-7 * cos[3.18604743524 + 77.2292791221 * tau] + 5.7291e-7 * cos[1.63015165542 + 143.6253063014 * tau] + 5.5307e-7 * cos[1.49636544147 + 71.6002048296 * tau] + 7.3387e-7 * cos[4.27603448634 + 87.3117715395 * tau] + 7.6568e-7 * cos[4.5872111034 + 6.2197751235 * tau] + 6.9060e-7 * cos[4.43934854374 + 39.3568759152 * tau] + 7.2726e-7 * cos[2.84892775693 + 462.0229135281 * tau] + 6.2310e-7 * cos[0.16901376623 + 479.2883889155 * tau] + 7.4341e-7 * cos[6.24271323846 + 447.7958195265 * tau] + 8.4604e-7 * cos[5.88725183325 + 256.5399405065 * tau] + 6.9927e-7 * cos[3.76102749315 + 131.4039498699 * tau] + 6.9965e-7 * cos[0.87476081875 + 305.3461693927 * tau] + 7.0303e-7 * cos[1.18986880009 + 66.70484372 * tau] + 8.8810e-7 * cos[0.52481330563 + 181.7583419392 * tau] + 8.4502e-7 * cos[0.36887189574 + 186.2117600641 * tau] + 7.9919e-7 * cos[3.00974084247 + 297.6419215609 * tau] + 7.4667e-7 * cos[4.63177552576 + 69.3649725959 * tau] + 0.00000103562 * cos[1.45770270246 + 24.3790223882 * tau] + 8.5876e-7 * cos[1.70649435603 + 82.8583534146 * tau] + 0.00000109376 * cos[5.70581833286 + 77.962992305 * tau] + 7.9858e-7 * cos[1.0144682918 + 6.592282139 * tau] + 9.4226e-7 * cos[3.9426632826 + 74.8934731519 * tau] + 0.00000110163 * cos[2.02685778976 + 554.0699874828 * tau] + 8.2978e-7 * cos[2.92828718445 + 265.9892934775 * tau] + 9.4741e-7 * cos[0.90674090409 + 74.6697239827 * tau] + 0.00000103277 * cos[0.68095301267 + 14.977853527 * tau] + 0.00000104414 * cos[5.02820888813 + 0.7507595254 * tau] + 0.0000012384 * cos[1.37359990336 + 7.1135470008 * tau] + 0.00000143058 * cos[1.29995487555 + 35.4247226521 * tau] + 0.00000138585 * cos[4.25994786673 + 909.8187330546 * tau] + 0.00000139453 * cos[5.385977234 + 32.1951448046 * tau] + 0.00000146653 * cos[1.26300172265 + 59.8037450403 * tau] + 0.00000162792 * cos[3.05029377666 + 112.9146342051 * tau] + 0.00000171968 * cos[5.67952685533 + 219.891377577 * tau] + 0.00000164588 * cos[1.42379714838 + 106.9767433719 * tau] + 0.00000173145 * cos[1.53860728054 + 160.6088973985 * tau] + 0.00000181934 * cos[3.53624029238 + 79.2350166922 * tau] + 0.00000192998 * cos[0.91616058506 + 453.424893819 * tau] + 0.00000193652 * cos[1.88800122606 + 456.3938392356 * tau] + 0.000001703 * cos[3.67717520688 + 5.4166259714 * tau] + 0.00000168648 * cos[5.87874000882 + 18.1592472647 * tau] + 0.00000199146 * cos[0.9563415501 + 152.5321425512 * tau] + 0.00000158028 * cos[0.73811997211 + 54.1746707478 * tau] + 0.00000187474 * cos[1.31924326253 + 0.1600586944 * tau] + 0.00000207828 * cos[5.5802057004 + 68.8437077341 * tau] + 0.00000222588 * cos[2.84309380331 + 0.2606324309 * tau] + 0.00000216549 * cos[6.14211862702 + 5.9378908332 * tau] + 0.00000224097 * cos[0.51574863468 + 84.3428261229 * tau] + 0.00000201963 * cos[1.29693040865 + 0.0481841098 * tau] + 0.00000219621 * cos[1.92212987979 + 67.6680515665 * tau] + 0.00000251792 * cos[1.63696775578 + 221.3758502853 * tau] + 0.0000021648 * cos[4.77847481363 + 340.7708920448 * tau] + 0.00000294172 * cos[5.83916826225 + 39.6175083461 * tau] + 0.00000239334 * cos[2.35045874708 + 137.0330241624 * tau] + 0.00000249229 * cos[4.74617120584 + 225.8292684102 * tau] + 0.00000300379 * cos[5.64353974146 + 22.0914005278 * tau] + 0.00000398996 * cos[0.33810765436 + 415.5524906121 * tau] + 0.00000378609 * cos[2.34975805006 + 56.6223513026 * tau] + 0.00000309885 * cos[5.83301304674 + 145.6310438715 * tau] + 0.00000433532 * cos[5.52142978255 + 183.2428146475 * tau] + 0.00000395614 * cos[5.87039580949 + 351.8165923087 * tau] + 0.00000483219 * cos[2.10553990154 + 0.9632078465 * tau] + 0.00000471288 * cos[1.40664336447 + 184.7272873558 * tau] + 0.00000467211 * cos[0.41484068933 + 145.1097790097 * tau] + 0.00000404891 * cos[5.98689011389 + 8.0767548473 * tau] + 0.00000606827 * cos[5.43209728952 + 529.6909650946 * tau] + 0.0000055937 * cos[3.35776737704 + 0.5212648618 * tau] + 0.00000524495 * cos[2.01276706996 + 299.1263942692 * tau] + 0.00000627562 * cos[0.18210181975 + 984.6003316219 * tau] + 0.00000653401 * cos[0.96586909116 + 78.7137518304 * tau] + 0.00000707875 * cos[5.18285226584 + 213.299095438 * tau] + 0.00001090461 * cos[1.77501638912 + 12.5301729722 * tau] + 0.00001072008 * cos[0.23564502877 + 62.2514255951 * tau] + 0.00001244342 * cos[0.91612680579 + 2.4476805548 * tau] + 0.00001150993 * cos[4.17898207045 + 33.6796175129 * tau] + 0.00000946195 * cos[1.19249463066 + 127.4717966068 * tau] + 0.00001220998 * cos[0.19901396193 + 108.4612160802 * tau] + 0.000013721 * cos[4.19641615561 + 111.4301614968 * tau] + 0.00001281641 * cos[0.54269869505 + 222.8603229936 * tau] + 0.00001533223 * cos[2.58593414266 + 52.6901980395 * tau] + 0.00001150416 * cos[0.93344454002 + 3.1813937377 * tau] + 0.00001284183 * cos[3.11346336879 + 202.2533951741 * tau] + 0.0000166691 * cos[3.62744580852 + 380.12776796 * tau] + 0.00001376208 * cos[2.04281409054 + 65.2203710117 * tau] + 0.00001991726 * cos[4.92437290826 + 277.0349937414 * tau] + 0.00002148599 * cos[0.60745800902 + 38.1330356378 * tau] + 0.00002051209 * cos[1.51773563459 + 0.1118745846 * tau] + 0.0000227279 * cos[4.36600802756 + 70.3281804424 * tau] + 0.0000292241 * cos[5.3523674338 + 85.8272988312 * tau] + 0.00003144093 * cos[4.75199307603 + 77.7505439839 * tau] + 0.00003490352 * cos[5.48305567292 + 146.594251718 * tau] + 0.00002926671 * cos[4.62903695486 + 9.5612275556 * tau] + 0.00003354607 * cos[1.06549008887 + 4.4534181249 * tau] + 0.0000405185 * cos[2.27754158724 + 151.0476698429 * tau] + 0.0000422017 * cos[3.23328535514 + 70.8494453042 * tau] + 0.00007545543 * cos[5.23626440666 + 109.9456887885 * tau] + 0.00009527487 * cos[2.95516893093 + 35.1640902212 * tau] + 0.00010997934 * cos[0.48865493179 + 138.5174968707 * tau] + 0.00011162535 * cos[5.82681993692 + 224.3447957019 * tau] + 0.00014613471 * cos[4.73732047977 + 3.9321532631 * tau] + 0.00017818665 * cos[1.74436982544 + 36.6485629295 * tau] + 0.00021078897 * cos[4.36059465144 + 148.0787244263 * tau] + 0.00025710505 * cos[6.11379842935 + 454.9093665273 * tau] + 0.00026468869 * cos[3.14152087888 + 71.8126531507 * tau] + 0.00061950714 * cos[2.85098907565 + 11.0457002639 * tau] + 0.00061998592 * cos[2.26952040469 + 2.9689454166 * tau] + 0.00068892609 * cos[6.09292489045 + 76.2660712756 * tau] + 0.00070328499 * cos[5.39254431993 + 63.7358983034 * tau] + 0.00272328132 * cos[3.35823710524 + 149.5631971346 * tau] + 0.00365981718 * cos[1.89962189068 + 73.297125859 * tau] + 0.01504247826 * cos[3.62719262195 + 1.4844727083 * tau] + 0.09260408252 * cos[0.8910642153 + 74.7815985673 * tau] + 5.48129294299 * cos[0.0 + 0.0 * tau]; L1 = 1.29e-9 * cos[2.87574897902 + 156.1554792736 * tau] + 1.67e-9 * cos[2.7460416758 + 69.1525242748 * tau] + 1.44e-9 * cos[2.5905808501 + 217.2312487011 * tau] + 1.63e-9 * cos[1.97665571311 + 221.1634019642 * tau] + 1.74e-9 * cos[3.03279013213 + 298.2326223919 * tau] + 1.31e-9 * cos[1.01359934164 + 175.1660598002 * tau] + 1.50e-9 * cos[4.66632209585 + 306.830642101 * tau] + 1.68e-9 * cos[5.81402201452 + 149.45132255 * tau] + 1.53e-9 * cos[0.48549989656 + 144.8973306886 * tau] + 1.44e-9 * cos[5.81835834612 + 75.5323580927 * tau] + 1.45e-9 * cos[5.51404722738 + 280.9671470045 * tau] + 1.56e-9 * cos[4.92094728667 + 68.1893164283 * tau] + 1.70e-9 * cos[2.18067759964 + 66.1835788582 * tau] + 1.93e-9 * cos[1.64715944768 + 91.4563731237 * tau] + 2.19e-9 * cos[4.17413407057 + 303.8616966844 * tau] + 1.62e-9 * cos[1.30776665222 + 248.7238180901 * tau] + 1.87e-9 * cos[6.22165475247 + 294.6729761443 * tau] + 1.79e-9 * cos[4.12060524413 + 310.1720945331 * tau] + 1.69e-9 * cos[0.59358171769 + 983.1158589136 * tau] + 1.91e-9 * cos[4.24841510229 + 4.665866446 * tau] + 2.03e-9 * cos[5.04975483055 + 457.8783119439 * tau] + 2.21e-9 * cos[3.2033980767 + 463.5073862364 * tau] + 2.26e-9 * cos[2.74516124394 + 446.3113468182 * tau] + 2.21e-9 * cos[2.23218400256 + 460.5384408198 * tau] + 2.40e-9 * cos[2.71609791875 + 227.5261894396 * tau] + 2.33e-9 * cos[5.98739382153 + 219.891377577 * tau] + 2.26e-9 * cos[3.71637531808 + 449.2802922348 * tau] + 2.24e-9 * cos[1.94589447357 + 593.426863398 * tau] + 2.37e-9 * cos[4.79666486485 + 377.1588225434 * tau] + 2.44e-9 * cos[5.85987959874 + 507.5995645668 * tau] + 2.61e-9 * cos[4.64354183979 + 535.3200393871 * tau] + 2.40e-9 * cos[0.48471871511 + 172.1971143836 * tau] + 2.67e-9 * cos[4.05985113852 + 75.3028634291 * tau] + 2.62e-9 * cos[2.69623862046 + 167.7224443993 * tau] + 2.34e-9 * cos[6.06783988023 + 147.1155165798 * tau] + 3.21e-9 * cos[3.4686482782 + 372.4235201282 * tau] + 2.61e-9 * cos[2.20643594285 + 73.0846775379 * tau] + 2.40e-9 * cos[2.84888261768 + 44.0921783304 * tau] + 2.98e-9 * cos[5.75927878031 + 902.7051860538 * tau] + 2.46e-9 * cos[1.2518623362 + 134.0640787458 * tau] + 2.65e-9 * cos[4.93584097286 + 831.1049812242 * tau] + 2.80e-9 * cos[1.15452517706 + 986.0848043302 * tau] + 2.58e-9 * cos[5.81453094409 + 630.3360587584 * tau] + 2.53e-9 * cos[0.50457429429 + 316.3918696566 * tau] + 3.05e-9 * cos[1.55983861329 + 49.7212526229 * tau] + 2.67e-9 * cos[4.90554019072 + 681.5417840896 * tau] + 2.74e-9 * cos[2.88347680082 + 233.9060232575 * tau] + 2.57e-9 * cos[1.60206491208 + 369.0820676961 * tau] + 3.61e-9 * cos[4.30140629884 + 198.321241911 * tau] + 2.88e-9 * cos[2.78232740152 + 1812.5239191084 * tau] + 2.64e-9 * cos[5.47114459575 + 133.1008708993 * tau] + 2.66e-9 * cos[3.07331582044 + 193.655375465 * tau] + 2.83e-9 * cos[5.95865378023 + 362.8622925726 * tau] + 2.63e-9 * cos[0.16921968622 + 124.5028511902 * tau] + 2.87e-9 * cos[1.01918432834 + 905.8865797915 * tau] + 2.78e-9 * cos[3.38339026214 + 346.3999663373 * tau] + 2.98e-9 * cos[3.99595366039 + 451.9404211107 * tau] + 3.08e-9 * cos[1.38454900684 + 375.3924655448 * tau] + 2.67e-9 * cos[0.96560769114 + 90.8232336773 * tau] + 2.70e-9 * cos[2.12904548682 + 778.4147831847 * tau] + 2.69e-9 * cos[0.14585942744 + 142.6620984549 * tau] + 3.16e-9 * cos[1.89686876211 + 228.276948965 * tau] + 3.11e-9 * cos[5.5968659072 + 271.4059194489 * tau] + 3.10e-9 * cos[3.75000484412 + 253.5709950899 * tau] + 3.20e-9 * cos[4.86151247369 + 448.6895914038 * tau] + 3.00e-9 * cos[5.93285242876 + 124.2904028691 * tau] + 2.80e-9 * cos[0.67871105907 + 312.4597163935 * tau] + 3.19e-9 * cos[5.09582764612 + 285.6330134505 * tau] + 2.85e-9 * cos[0.97965330777 + 113.8778420516 * tau] + 2.94e-9 * cos[2.84554743359 + 267.4737661858 * tau] + 2.83e-9 * cos[4.63187254084 + 332.1728723357 * tau] + 2.84e-9 * cos[2.88222063053 + 384.0599212231 * tau] + 3.23e-9 * cos[1.888454518 + 192.6921676185 * tau] + 3.27e-9 * cos[1.87637598331 + 207.8824694666 * tau] + 3.10e-9 * cos[5.08120849869 + 376.1956146969 * tau] + 3.35e-9 * cos[4.78622577105 + 109.3125493421 * tau] + 3.29e-9 * cos[1.82999432252 + 706.8145783551 * tau] + 3.06e-9 * cos[1.71903179875 + 394.3548619616 * tau] + 3.27e-9 * cos[5.07873875355 + 189.7232222019 * tau] + 3.20e-9 * cos[0.81846631878 + 610.6923387854 * tau] + 3.19e-9 * cos[4.38123849114 + 154.979823106 * tau] + 3.46e-9 * cos[4.15815107375 + 282.6640680339 * tau] + 3.76e-9 * cos[1.74845257914 + 545.4719677737 * tau] + 3.18e-9 * cos[4.53066393124 + 350.3321196004 * tau] + 3.78e-9 * cos[5.75737470182 + 916.9322800554 * tau] + 3.27e-9 * cos[3.40081544565 + 309.2783226558 * tau] + 3.70e-9 * cos[2.19402183275 + 562.6680071919 * tau] + 3.69e-9 * cos[2.1518588972 + 555.5544601911 * tau] + 3.83e-9 * cos[3.20416581825 + 79.4474650133 * tau] + 3.89e-9 * cos[2.41268196916 + 381.6122406683 * tau] + 4.33e-9 * cos[1.90504858871 + 123.5396433437 * tau] + 3.40e-9 * cos[1.3466636056 + 34.2008823747 * tau] + 3.52e-9 * cos[2.76374792259 + 295.1942410061 * tau] + 3.81e-9 * cos[3.38777292581 + 114.9416236346 * tau] + 3.59e-9 * cos[2.62171903648 + 162.8965192589 * tau] + 3.61e-9 * cos[5.683933914 + 353.301065017 * tau] + 3.50e-9 * cos[1.24205287122 + 97.4155158163 * tau] + 3.44e-9 * cos[0.20350283971 + 184.0941479094 * tau] + 3.86e-9 * cos[4.76483292968 + 268.4369740323 * tau] + 4.13e-9 * cos[2.41518097006 + 483.2205421786 * tau] + 3.48e-9 * cos[0.35176743482 + 46.470422916 * tau] + 4.16e-9 * cos[2.54190330826 + 255.0554677982 * tau] + 3.66e-9 * cos[2.92275490656 + 291.262087743 * tau] + 4.31e-9 * cos[3.83885208954 + 254.9435932136 * tau] + 3.92e-9 * cos[5.44355925956 + 26.0235537909 * tau] + 4.40e-9 * cos[0.36380766054 + 367.9701020033 * tau] + 4.09e-9 * cos[4.21780704807 + 181.0557665236 * tau] + 4.61e-9 * cos[3.5796125479 + 187.6962327724 * tau] + 3.67e-9 * cos[5.39331524988 + 874.3940104025 * tau] + 3.83e-9 * cos[2.63486938783 + 685.4739373527 * tau] + 4.65e-9 * cos[5.72323435231 + 183.2428146475 * tau] + 4.22e-9 * cos[1.02056886848 + 468.2426886516 * tau] + 3.84e-9 * cos[2.48712922138 + 210.3301500214 * tau] + 4.01e-9 * cos[0.55271143649 + 95.3885263868 * tau] + 4.30e-9 * cos[2.39159932023 + 39.0962434843 * tau] + 4.15e-9 * cos[1.5229107152 + 497.4476361802 * tau] + 4.25e-9 * cos[3.50702044406 + 180.2738692309 * tau] + 4.21e-9 * cos[5.47567810199 + 104.0077979553 * tau] + 3.96e-9 * cos[3.98515136901 + 31.2319369581 * tau] + 4.04e-9 * cos[5.18855270166 + 22.633917249 * tau] + 4.12e-9 * cos[5.69502940499 + 92.3077063856 * tau] + 5.00e-9 * cos[4.34235307579 + 166.828672522 * tau] + 4.28e-9 * cos[1.02564850231 + 469.1364605289 * tau] + 4.43e-9 * cos[4.58896013561 + 149.6750717192 * tau] + 4.68e-9 * cos[0.97688759019 + 760.25553592 * tau] + 5.01e-9 * cos[0.18290112601 + 331.3215390738 * tau] + 4.51e-9 * cos[4.5091120102 + 142.1408335931 * tau] + 4.22e-9 * cos[4.61520857062 + 40.1600250673 * tau] + 5.72e-9 * cos[5.40379754526 + 278.5194664497 * tau] + 5.69e-9 * cos[0.84686482736 + 260.9933586314 * tau] + 5.38e-9 * cos[2.39420182072 + 339.2864193365 * tau] + 4.41e-9 * cos[2.82271922049 + 32.7164096664 * tau] + 4.65e-9 * cos[0.31777753866 + 756.3233826569 * tau] + 5.43e-9 * cos[2.61197342701 + 451.7279727896 * tau] + 4.42e-9 * cos[2.15938034999 + 173.6815870919 * tau] + 4.44e-9 * cos[2.94093732205 + 692.5874843535 * tau] + 4.50e-9 * cos[1.94933296558 + 148.5999892881 * tau] + 5.44e-9 * cos[0.04821904056 + 114.3991069134 * tau] + 5.49e-9 * cos[1.43219978325 + 171.6545976624 * tau] + 4.60e-9 * cos[5.75982407113 + 89.7594520943 * tau] + 4.58e-9 * cos[1.99730631732 + 275.5505210331 * tau] + 4.89e-9 * cos[2.96084966272 + 385.7568422525 * tau] + 4.60e-9 * cos[3.76890954025 + 342.2553647531 * tau] + 5.71e-9 * cos[6.01195273302 + 47.061123747 * tau] + 4.72e-9 * 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108.4612160802 * tau] + 2.1780e-7 * cos[0.93285892393 + 213.299095438 * tau] + 1.9246e-7 * cos[3.55645739672 + 54.1746707478 * tau] + 2.2995e-7 * cos[2.24925345862 + 111.4301614968 * tau] + 2.6605e-7 * cos[6.14640604128 + 299.1263942692 * tau] + 2.1672e-7 * cos[2.80556379586 + 69.3649725959 * tau] + 2.5373e-7 * cos[5.73584678604 + 380.12776796 * tau] + 2.5753e-7 * cos[4.99362028417 + 137.0330241624 * tau] + 2.9206e-7 * cos[1.14722640419 + 462.0229135281 * tau] + 2.9866e-7 * cos[1.65980844667 + 447.7958195265 * tau] + 2.6627e-7 * cos[5.54127301037 + 131.4039498699 * tau] + 2.8947e-7 * cos[4.51867390414 + 84.3428261229 * tau] + 3.0811e-7 * cos[5.49591403863 + 59.8037450403 * tau] + 3.4996e-7 * cos[5.08034112149 + 38.1330356378 * tau] + 3.8544e-7 * cos[4.91519003848 + 222.8603229936 * tau] + 3.1454e-7 * cos[5.62015632303 + 984.6003316219 * tau] + 3.0608e-7 * cos[5.46414592601 + 160.6088973985 * tau] + 3.6116e-7 * cos[5.89964278801 + 33.6796175129 * tau] + 3.5524e-7 * cos[3.32784616138 + 71.6002048296 * tau] + 3.5605e-7 * cos[3.29197259183 + 8.0767548473 * tau] + 4.4339e-7 * cos[5.90865821911 + 7.1135470008 * tau] + 4.2534e-7 * cos[5.72357370899 + 5.4166259714 * tau] + 4.7267e-7 * cos[3.54312460519 + 351.8165923087 * tau] + 5.9173e-7 * cos[3.70413919082 + 67.6680515665 * tau] + 6.8570e-7 * cos[4.05071895264 + 77.962992305 * tau] + 7.2047e-7 * cos[6.04545933578 + 70.3281804424 * tau] + 8.0530e-7 * cos[2.64124743934 + 22.0914005278 * tau] + 8.7549e-7 * cos[6.15520787584 + 202.2533951741 * tau] + 8.8202e-7 * cos[3.99035787994 + 18.1592472647 * tau] + 0.00000101718 * cos[6.03385875009 + 0.1118745846 * tau] + 0.00000102022 * cos[4.18754517993 + 145.6310438715 * tau] + 0.00000115546 * cos[3.73224603791 + 65.2203710117 * tau] + 0.00000121452 * cos[4.1483920492 + 127.4717966068 * tau] + 0.00000153515 * cos[4.65186885939 + 35.1640902212 * tau] + 0.00000151984 * cos[2.9421732689 + 77.7505439839 * tau] + 0.00000143464 * cos[2.59049246726 + 62.2514255951 * tau] + 0.00000183762 * cos[0.28371004654 + 151.0476698429 * tau] + 0.0000015467 * cos[5.59083925605 + 4.4534181249 * tau] + 0.00000189068 * cos[4.20242881378 + 56.6223513026 * tau] + 0.00000158029 * cos[2.90931969498 + 0.9632078465 * tau] + 0.00000205585 * cos[2.36263144251 + 2.4476805548 * tau] + 0.00000171084 * cos[3.00060075287 + 78.7137518304 * tau] + 0.0000017992 * cos[5.68367730922 + 12.5301729722 * tau] + 0.00000317084 * cos[5.57855232072 + 52.6901980395 * tau] + 0.00000353752 * cos[2.58324496886 + 148.0787244263 * tau] + 0.00000347735 * cos[2.45372261286 + 9.5612275556 * tau] + 0.00000426554 * cos[4.73126059388 + 71.8126531507 * tau] + 0.000004456 * cos[3.72300400331 + 224.3447957019 * tau] + 0.00000449798 * cos[4.13826237508 + 138.5174968707 * tau] + 0.00000481671 * cos[2.98401996914 + 85.8272988312 * tau] + 0.00000766954 * cos[1.99555409575 + 73.297125859 * tau] + 0.00000791206 * cos[5.43641224143 + 3.1813937377 * tau] + 0.00001232727 * cos[1.58634458237 + 70.8494453042 * tau] + 0.000019266 * cos[0.53013080152 + 2.9689454166 * tau] + 0.00002283777 * cos[4.17367533997 + 76.2660712756 * tau] + 0.00003899105 * cos[0.46483574024 + 3.9321532631 * tau] + 0.00007841715 * cos[1.31983607251 + 149.5631971346 * tau] + 0.00008265977 * cos[1.5022003511 + 63.7358983034 * tau] + 0.00009257828 * cos[0.42844639064 + 11.0457002639 * tau] + 0.00024456413 * cos[1.71255705309 + 1.4844727083 * tau] + 0.00154458244 * cos[5.24201658072 + 74.7815985673 * tau] + 75.02543121646 * cos[0.0 + 0.0 * tau]; L2 = 1.42e-9 * cos[5.03489222377 + 536.8045120954 * tau] + 1.31e-9 * cos[2.73236351123 + 522.5774180938 * tau] + 1.80e-9 * cos[0.80198096578 + 183.2428146475 * tau] + 1.67e-9 * cos[1.1964352228 + 39.6175083461 * tau] + 1.39e-9 * cos[2.99832472431 + 211.8146227297 * tau] + 1.85e-9 * cos[4.7160017678 + 108.4612160802 * tau] + 1.98e-9 * cos[5.72107161521 + 453.424893819 * tau] + 2.14e-9 * cos[2.9438876558 + 184.7272873558 * tau] + 2.30e-9 * cos[0.35983101967 + 109.9456887885 * tau] + 2.63e-9 * cos[1.52366362053 + 146.3818033969 * tau] + 2.20e-9 * cos[5.12386263728 + 479.2883889155 * tau] + 2.38e-9 * cos[1.14634663242 + 288.0806940053 * tau] + 2.61e-9 * cos[0.09830739366 + 991.7138786227 * tau] + 2.52e-9 * cos[5.76728095309 + 235.3904959658 * tau] + 2.48e-9 * cos[5.72379940676 + 79.2350166922 * tau] + 2.71e-9 * cos[4.82853730065 + 561.1835344836 * tau] + 2.95e-9 * cos[0.43376026627 + 373.9079928365 * tau] + 2.63e-9 * cos[3.49309481771 + 440.6822725257 * tau] + 2.71e-9 * cos[0.59225635449 + 1894.4190646765 * tau] + 2.84e-9 * cos[2.42261530322 + 546.956440482 * tau] + 2.70e-9 * cos[2.7937834555 + 977.4867846211 * tau] + 3.39e-9 * cos[1.65968150805 + 142.4496501338 * tau] + 2.75e-9 * cos[0.62680026669 + 31.492569389 * tau] + 2.84e-9 * cos[2.0943747648 + 129.9194771616 * tau] + 3.07e-9 * cos[1.65925943351 + 99.1606209555 * tau] + 3.20e-9 * cos[0.74685222907 + 347.8844390456 * tau] + 3.35e-9 * cos[5.29062985955 + 13.3333221243 * tau] + 3.68e-9 * cos[6.20331898497 + 456.3938392356 * tau] + 3.45e-9 * cos[2.98021540638 + 429.7795846137 * tau] + 3.79e-9 * cos[2.75940848661 + 81.8951455681 * tau] + 3.70e-9 * cos[3.21958844151 + 387.2413149608 * tau] + 5.04e-9 * cos[1.95816731769 + 415.5524906121 * tau] + 3.83e-9 * cos[1.91679738697 + 5.6290742925 * tau] + 3.87e-9 * cos[2.82547341355 + 200.7689224658 * tau] + 4.32e-9 * cos[1.04604024916 + 125.9873238985 * tau] + 5.20e-9 * cos[5.72828536642 + 111.4301614968 * tau] + 4.58e-9 * cos[0.91654899383 + 373.0142209592 * tau] + 4.55e-9 * cos[5.45520675 + 333.657345044 * tau] + 4.91e-9 * cos[2.2612339868 + 152.0108776894 * tau] + 4.25e-9 * cos[1.04692398351 + 19.643719973 * tau] + 4.66e-9 * cos[6.05585106742 + 70.1157321213 * tau] + 4.45e-9 * cos[2.60797570173 + 96.8729990951 * tau] + 5.00e-9 * cos[3.49663062387 + 128.9562693151 * tau] + 5.31e-9 * cos[4.2253465745 + 29.2049475286 * tau] + 5.57e-9 * cos[0.98387565952 + 225.8292684102 * tau] + 4.66e-9 * cos[5.13219663072 + 297.6419215609 * tau] + 4.77e-9 * cos[4.25420753202 + 365.9006739584 * tau] + 5.21e-9 * cos[5.21561656321 + 206.1855484372 * tau] + 4.83e-9 * cos[3.52583593251 + 144.1465711632 * tau] + 4.91e-9 * cos[0.85765309118 + 565.1156877467 * tau] + 4.89e-9 * cos[4.80633294199 + 159.1244246902 * tau] + 5.36e-9 * cos[4.52808465499 + 220.4126424388 * tau] + 5.18e-9 * cos[3.19086220901 + 152.5321425512 * tau] + 5.42e-9 * cos[5.97968975563 + 146.594251718 * tau] + 6.56e-9 * cos[2.34273264083 + 38.1330356378 * tau] + 5.65e-9 * cos[4.92645232089 + 35.4247226521 * tau] + 5.90e-9 * cos[1.73778850095 + 8.0767548473 * tau] + 6.58e-9 * cos[0.75636229109 + 76.4785195967 * tau] + 6.39e-9 * cos[5.16714934188 + 23.5758732361 * tau] + 6.06e-9 * cos[0.15052747979 + 28.3111756513 * tau] + 6.55e-9 * cos[3.85415269764 + 16.6747745564 * tau] + 6.03e-9 * cos[1.10391172652 + 55.1378785943 * tau] + 6.87e-9 * cos[2.0286634204 + 33.6796175129 * tau] + 7.50e-9 * cos[2.33167721991 + 358.9301393095 * tau] + 7.22e-9 * cos[3.10001033669 + 422.6660376129 * tau] + 8.84e-9 * cos[1.99930014838 + 265.9892934775 * tau] + 7.59e-9 * cos[3.77564054479 + 80.1982245387 * tau] + 7.81e-9 * cos[0.7422311595 + 408.4389436113 * tau] + 7.91e-9 * cos[2.38927423348 + 58.1068240109 * tau] + 9.24e-9 * cos[2.11096444289 + 14.0146456805 * tau] + 7.96e-9 * cos[6.170668463 + 344.7030453079 * tau] + 8.13e-9 * cos[4.08930465981 + 14.2270940016 * tau] + 8.21e-9 * cos[0.27134156683 + 191.2076949102 * tau] + 8.43e-9 * cos[6.12869288891 + 49.5088043018 * tau] + 9.64e-9 * cos[2.46471453524 + 380.12776796 * tau] + 9.52e-9 * cos[2.1083748084 + 20.6069278195 * tau] + 8.72e-9 * cos[3.49659835508 + 340.7708920448 * tau] + 1.046e-8 * cos[4.81299135934 + 116.4260963429 * tau] + 9.74e-9 * cos[2.85233132493 + 222.8603229936 * tau] + 1.142e-8 * cos[4.64615099782 + 152.7445908723 * tau] + 1.117e-8 * cos[2.62506108047 + 72.3339180125 * tau] + 1.430e-8 * cos[4.68022239016 + 299.1263942692 * tau] + 1.160e-8 * cos[1.03320781667 + 153.4953503977 * tau] + 1.273e-8 * cos[5.87964059822 + 60.5545045657 * tau] + 1.238e-8 * cos[2.65969680342 + 134.5853436076 * tau] + 1.239e-8 * cos[4.63223076077 + 92.940845832 * tau] + 1.418e-8 * cos[1.15843502159 + 213.299095438 * tau] + 1.494e-8 * cos[6.04572758571 + 87.3117715395 * tau] + 1.671e-8 * cos[6.28283232471 + 277.0349937414 * tau] + 1.543e-8 * cos[2.15414338268 + 70.3281804424 * tau] + 2.073e-8 * cos[1.24032244487 + 35.1640902212 * tau] + 1.725e-8 * cos[6.25703202673 + 41.6444977756 * tau] + 1.583e-8 * cos[2.90536212187 + 51.2057253312 * tau] + 1.597e-8 * cos[0.48807990368 + 137.0330241624 * tau] + 1.622e-8 * cos[5.07964536529 + 209.3669421749 * tau] + 2.005e-8 * cos[3.87177765185 + 195.1398481733 * tau] + 1.864e-8 * cos[5.70354779393 + 54.1746707478 * tau] + 2.105e-8 * cos[2.32047802326 + 120.358249606 * tau] + 2.064e-8 * cos[4.34647674542 + 984.6003316219 * tau] + 2.228e-8 * cos[1.38937510191 + 284.1485407422 * tau] + 2.249e-8 * cos[5.07693376112 + 14.977853527 * tau] + 2.307e-8 * cos[2.69282373897 + 84.3428261229 * tau] + 2.498e-8 * cos[1.04819496324 + 69.3649725959 * tau] + 2.664e-8 * cos[5.36121614612 + 269.9214467406 * tau] + 3.596e-8 * cos[4.57256025582 + 454.9093665273 * tau] + 3.033e-8 * cos[6.14532331482 + 77.2292791221 * tau] + 3.036e-8 * cos[3.32062892682 + 160.6088973985 * tau] + 3.149e-8 * cos[3.83590892865 + 45.5766510387 * tau] + 3.673e-8 * cos[1.76315074166 + 351.8165923087 * tau] + 3.979e-8 * cos[0.67629577193 + 77.7505439839 * tau] + 4.845e-8 * cos[1.20298837109 + 71.8126531507 * tau] + 5.065e-8 * cos[3.36477113418 + 4.4534181249 * tau] + 5.969e-8 * cos[5.61147374852 + 148.0787244263 * tau] + 5.155e-8 * cos[1.05810305746 + 131.4039498699 * tau] + 5.111e-8 * cos[3.52374555791 + 59.8037450403 * tau] + 6.003e-8 * cos[5.72500086735 + 462.0229135281 * tau] + 6.109e-8 * cos[3.36320161279 + 447.7958195265 * tau] + 5.718e-8 * cos[1.8293391534 + 202.2533951741 * tau] + 6.013e-8 * cos[4.51836836347 + 151.0476698429 * tau] + 6.087e-8 * cos[5.44611674384 + 65.2203710117 * tau] + 8.387e-8 * cos[5.50115930045 + 67.6680515665 * tau] + 7.160e-8 * cos[1.24903906391 + 5.4166259714 * tau] + 1.0476e-7 * cos[5.16453084068 + 71.6002048296 * tau] + 8.668e-8 * cos[4.25550086984 + 7.1135470008 * tau] + 1.1010e-7 * cos[0.0849627437 + 127.4717966068 * tau] + 1.0466e-7 * cos[4.45556032593 + 62.2514255951 * tau] + 1.2012e-7 * cos[0.01941361902 + 22.0914005278 * tau] + 1.6777e-7 * cos[3.46631344086 + 12.5301729722 * tau] + 2.0578e-7 * cos[2.16918786539 + 224.3447957019 * tau] + 2.1392e-7 * cos[2.39880709309 + 77.962992305 * tau] + 1.7226e-7 * cos[2.53537183199 + 145.6310438715 * tau] + 2.2491e-7 * cos[5.99320728691 + 138.5174968707 * tau] + 2.2135e-7 * cos[4.81730808582 + 78.7137518304 * tau] + 2.9423e-7 * cos[5.09818697708 + 73.297125859 * tau] + 2.4292e-7 * cos[2.10702559049 + 18.1592472647 * tau] + 3.3029e-7 * cos[0.86388149962 + 9.5612275556 * tau] + 3.7403e-7 * cos[4.46228598032 + 2.9689454166 * tau] + 4.4530e-7 * cos[0.81152639478 + 85.8272988312 * tau] + 4.4753e-7 * cos[3.90904910523 + 2.4476805548 * tau] + 3.8222e-7 * cos[1.78467827781 + 52.6901980395 * tau] + 5.3504e-7 * cos[1.44225240953 + 76.2660712756 * tau] + 4.9401e-7 * cos[6.03101301723 + 56.6223513026 * tau] + 0.00000181904 * cos[6.21763603405 + 70.8494453042 * tau] + 0.00000238835 * cos[5.85806638405 + 149.5631971346 * tau] + 0.00000257521 * cos[3.69059216858 + 3.1813937377 * tau] + 0.00000529473 * cos[4.92348433826 + 1.4844727083 * tau] + 0.00000541532 * cos[2.27573907424 + 3.9321532631 * tau] + 0.00000551533 * cos[3.25814281023 + 63.7358983034 * tau] + 0.00000769129 * cos[4.52561041823 + 11.0457002639 * tau] + 0.00002357636 * cos[2.26014661705 + 74.7815985673 * tau] + 0.00053033277 * cos[0.0 + 0.0 * tau]; L3 = 1.56e-9 * cos[2.90936922804 + 153.4953503977 * tau] + 1.49e-9 * cos[0.13764106563 + 71.8126531507 * tau] + 1.45e-9 * cos[2.75632381347 + 92.940845832 * tau] + 2.04e-9 * cos[5.81663798296 + 373.0142209592 * tau] + 2.36e-9 * cos[4.65292396535 + 387.2413149608 * tau] + 3.58e-9 * cos[1.10916640253 + 333.657345044 * tau] + 2.68e-9 * cos[3.24615387968 + 536.8045120954 * tau] + 3.00e-9 * cos[1.13119175675 + 160.6088973985 * tau] + 2.76e-9 * cos[3.44212110991 + 202.2533951741 * tau] + 3.82e-9 * cos[5.93515231196 + 45.5766510387 * tau] + 3.43e-9 * cos[4.01891371998 + 546.956440482 * tau] + 3.38e-9 * cos[5.94221536204 + 284.1485407422 * tau] + 3.45e-9 * cos[3.05968942771 + 561.1835344836 * tau] + 3.72e-9 * cos[0.73596518002 + 269.9214467406 * tau] + 4.14e-9 * cos[4.3290428762 + 120.358249606 * tau] + 4.63e-9 * cos[1.58927254512 + 151.0476698429 * tau] + 6.87e-9 * cos[2.93752748595 + 131.4039498699 * tau] + 7.22e-9 * cos[1.05856935832 + 138.5174968707 * tau] + 7.18e-9 * cos[0.34600103024 + 5.6290742925 * tau] + 8.08e-9 * cos[5.06374463008 + 447.7958195265 * tau] + 8.11e-9 * cos[3.98323855938 + 462.0229135281 * tau] + 9.11e-9 * cos[2.18921999026 + 127.4717966068 * tau] + 1.225e-8 * cos[3.93406822032 + 22.0914005278 * tau] + 1.475e-8 * cos[5.19957293069 + 73.297125859 * tau] + 1.613e-8 * cos[0.48764377311 + 71.6002048296 * tau] + 1.333e-8 * cos[1.25032115614 + 12.5301729722 * tau] + 1.363e-8 * cos[4.86983744746 + 224.3447957019 * tau] + 2.156e-8 * cos[5.65647821519 + 9.5612275556 * tau] + 1.946e-8 * cos[2.67997393431 + 7.1135470008 * tau] + 2.696e-8 * cos[0.37287796344 + 78.7137518304 * tau] + 2.328e-8 * cos[0.85770961794 + 145.6310438715 * tau] + 3.572e-8 * cos[0.95052448578 + 77.962992305 * tau] + 3.479e-8 * cos[4.12969359977 + 52.6901980395 * tau] + 3.488e-8 * cos[4.97622811775 + 85.8272988312 * tau] + 3.613e-8 * cos[5.39244611308 + 76.2660712756 * tau] + 4.271e-8 * cos[0.22777319552 + 18.1592472647 * tau] + 8.901e-8 * cos[1.57548871761 + 56.6223513026 * tau] + 1.9897e-7 * cos[2.31320314136 + 149.5631971346 * tau] + 2.1061e-7 * cos[4.54511486862 + 70.8494453042 * tau] + 2.4969e-7 * cos[4.88741307918 + 63.7358983034 * tau] + 4.5806e-7 * cos[0.0 + 0.0 * tau] + 4.5300e-7 * cos[2.0442379841 + 3.1813937377 * tau] + 4.3754e-7 * cos[2.95965039734 + 1.4844727083 * tau] + 5.2828e-7 * cos[2.3896406126 + 11.0457002639 * tau] + 6.8064e-7 * cos[4.12084267733 + 3.9321532631 * tau] + 0.00000120936 * cos[0.02418789918 + 74.7815985673 * tau]; L4 = 1.33e-9 * cos[4.35519131657 + 63.7358983034 * tau] + 1.71e-9 * cos[3.80393539303 + 149.5631971346 * tau] + 6.34e-9 * cos[4.65759668097 + 18.1592472647 * tau] + 1.217e-8 * cos[3.42199121826 + 56.6223513026 * tau] + 3.203e-8 * cos[0.34623003207 + 11.0457002639 * tau] + 5.599e-8 * cos[4.57882424417 + 74.7815985673 * tau] + 0.00000113855 * cos[3.14159265359 + 0.0 * tau]; L5 = 8.73e-9 * cos[3.14159265359 + 0.0 * tau]; B0 = 1.33e-9 * cos[3.16576403244 + 262.4778313397 * tau] + 1.20e-9 * cos[4.08565783859 + 154.979823106 * tau] + 1.25e-9 * cos[4.24724390191 + 248.7238180901 * tau] + 1.32e-9 * cos[4.52023845365 + 148.5999892881 * tau] + 1.34e-9 * cos[3.97421067761 + 228.7982138268 * tau] + 1.25e-9 * cos[5.28865037145 + 329.8370663655 * tau] + 1.41e-9 * cos[4.02238453909 + 350.3321196004 * tau] + 1.36e-9 * cos[4.00164375048 + 526.722019678 * tau] + 1.37e-9 * cos[6.20635855175 + 369.4545747116 * tau] + 1.44e-9 * cos[1.78180338482 + 531.1754378029 * tau] + 1.81e-9 * cos[0.39521867351 + 0.9632078465 * tau] + 1.66e-9 * cos[3.24028819042 + 173.9422195228 * tau] + 1.65e-9 * cos[1.87245210311 + 310.1720945331 * tau] + 1.75e-9 * cos[3.72163733058 + 150.0844619964 * tau] + 1.86e-9 * cos[3.85070006482 + 46.2097904851 * tau] + 1.80e-9 * cos[4.7037703687 + 518.6452648307 * tau] + 2.46e-9 * cos[6.15106498377 + 6.2197751235 * tau] + 1.99e-9 * cos[3.21010368905 + 7.4223635415 * tau] + 2.59e-9 * cos[2.78974616768 + 144.1465711632 * tau] + 1.94e-9 * cos[5.11344829813 + 1215.1649024473 * tau] + 2.03e-9 * cos[2.38070591912 + 275.5505210331 * tau] + 2.28e-9 * cos[2.33602531859 + 150.5264049811 * tau] + 2.07e-9 * cos[6.13936312021 + 344.7030453079 * tau] + 2.02e-9 * cos[1.37341689387 + 302.0953396858 * tau] + 2.26e-9 * cos[0.72248476212 + 45.5766510387 * tau] + 2.24e-9 * cos[3.04829549918 + 1439.5096981492 * tau] + 2.10e-9 * cos[5.84975171904 + 147.1155165798 * tau] + 2.67e-9 * cos[0.15744446718 + 10213.285546211 * tau] + 2.17e-9 * cos[4.33845164683 + 269.9214467406 * tau] + 2.45e-9 * cos[4.69742022955 + 316.3918696566 * tau] + 2.23e-9 * cos[2.04168197187 + 370.9390474199 * tau] + 3.04e-9 * cos[5.68101077712 + 189.1807054807 * tau] + 2.23e-9 * cos[5.35785607671 + 983.1158589136 * tau] + 2.28e-9 * cos[0.72608678727 + 233.9060232575 * tau] + 2.44e-9 * cos[6.0064485364 + 295.1942410061 * tau] + 3.19e-9 * cos[4.2421988104 + 328.3525936572 * tau] + 2.33e-9 * cos[0.50933224249 + 462.0229135281 * tau] + 2.42e-9 * cos[1.37720813333 + 121.2520214833 * tau] + 2.48e-9 * cos[6.19516038159 + 1134.1635287565 * tau] + 2.45e-9 * cos[1.04008534095 + 1332.4847706675 * tau] + 2.48e-9 * cos[2.17741598681 + 611.5861106627 * tau] + 3.24e-9 * cos[5.57191515554 + 501.3797894433 * tau] + 3.09e-9 * cos[1.97045147502 + 543.0242872189 * tau] + 2.89e-9 * cos[3.85492516765 + 209.3669421749 * tau] + 2.93e-9 * cos[5.44464406156 + 477.9157907918 * tau] + 2.73e-9 * cos[4.22941219477 + 391.1734682239 * tau] + 2.78e-9 * cos[3.85507901929 + 760.25553592 * tau] + 2.83e-9 * cos[1.88910019831 + 24.3790223882 * tau] + 3.08e-9 * cos[3.50154864071 + 30.7106720963 * tau] + 2.83e-9 * cos[1.81773059325 + 647.0108333148 * tau] + 3.28e-9 * cos[3.47252263966 + 73.4090004436 * tau] + 2.99e-9 * cos[6.04121646505 + 332.8060117821 * tau] + 2.92e-9 * cos[5.11578046796 + 375.3924655448 * tau] + 3.18e-9 * cos[0.09996195379 + 69.3649725959 * tau] + 3.26e-9 * cos[6.09140263554 + 456.3938392356 * tau] + 3.76e-9 * cos[1.28856348513 + 155.7829722581 * tau] + 3.88e-9 * cos[0.88856038803 + 483.2205421786 * tau] + 3.81e-9 * cos[4.61366060949 + 329.7251917809 * tau] + 4.07e-9 * cos[2.00853504718 + 679.2541622292 * tau] + 3.42e-9 * cos[5.27187859255 + 28.5718080822 * tau] + 4.75e-9 * cos[0.17507881032 + 120.358249606 * tau] + 4.27e-9 * cos[5.08349119654 + 367.9701020033 * tau] + 3.87e-9 * cos[0.5661931048 + 602.9880909536 * tau] + 4.91e-9 * cos[5.58913582973 + 68.5618234438 * tau] + 3.69e-9 * cos[1.82533858431 + 334.2904844904 * tau] + 3.68e-9 * cos[4.08526832792 + 1589.0728952838 * tau] + 4.13e-9 * cos[0.03813081773 + 103.0927742186 * tau] + 3.83e-9 * cos[5.54541241459 + 419.4846438752 * tau] + 5.36e-9 * cos[1.8261477226 + 114.1384744825 * tau] + 4.78e-9 * cos[2.41106642594 + 358.9301393095 * tau] + 4.10e-9 * cos[5.30637634877 + 95.3885263868 * tau] + 5.06e-9 * cos[2.05348204197 + 373.0142209592 * tau] + 4.32e-9 * cos[4.20907682097 + 278.5194664497 * tau] + 4.74e-9 * cos[3.03149617428 + 286.596221297 * tau] + 4.08e-9 * cos[5.69107313998 + 284.1485407422 * tau] + 4.18e-9 * cos[5.21379084769 + 35.4247226521 * tau] + 5.01e-9 * cos[4.79997295899 + 306.830642101 * tau] + 4.45e-9 * cos[2.50076311432 + 905.8865797915 * tau] + 5.12e-9 * cos[5.86200059955 + 293.188503436 * tau] + 5.85e-9 * cos[4.67924542643 + 88.7962442478 * tau] + 4.68e-9 * cos[0.55881267334 + 23.5758732361 * tau] + 4.85e-9 * cos[6.21247575899 + 5.4166259714 * tau] + 4.75e-9 * cos[0.53480492526 + 303.8616966844 * tau] + 4.70e-9 * cos[1.30184316812 + 228.276948965 * tau] + 5.73e-9 * cos[2.46311368783 + 81.0013736908 * tau] + 5.17e-9 * cos[4.97759795528 + 387.2413149608 * tau] + 4.81e-9 * cos[5.81647231299 + 134.5853436076 * tau] + 4.85e-9 * cos[2.36317665443 + 448.6895914038 * tau] + 5.44e-9 * cos[2.9991051278 + 152.7445908723 * tau] + 5.93e-9 * cos[5.40734033998 + 692.5874843535 * tau] + 6.49e-9 * cos[5.74895589744 + 141.4864422873 * tau] + 5.06e-9 * cos[4.94619342366 + 81.3738807063 * tau] + 5.30e-9 * cos[3.51385025328 + 291.7040307277 * tau] + 5.54e-9 * cos[2.78135114877 + 14.0146456805 * tau] + 5.48e-9 * cos[3.75628845322 + 617.8058857862 * tau] + 5.50e-9 * cos[2.90625551534 + 68.1893164283 * tau] + 5.93e-9 * cos[1.89556258897 + 203.7378678824 * tau] + 6.51e-9 * cos[2.80626026285 + 50.4025761791 * tau] + 6.50e-9 * cos[4.56215718085 + 216.9224321604 * tau] + 7.47e-9 * cos[5.07639466593 + 89.7594520943 * tau] + 7.98e-9 * cos[0.90969731665 + 152.0108776894 * tau] + 7.49e-9 * cos[5.56828487823 + 2.4476805548 * tau] + 6.12e-9 * cos[2.01741578932 + 195.1398481733 * tau] + 6.63e-9 * cos[5.32574112049 + 142.1408335931 * tau] + 7.05e-9 * cos[2.94649553712 + 60.7669528868 * tau] + 7.74e-9 * cos[0.42035450706 + 565.1156877467 * tau] + 6.31e-9 * cos[1.97807297205 + 639.897286314 * tau] + 6.71e-9 * cos[5.96862039131 + 135.5485514541 * tau] + 6.41e-9 * cos[5.77408891198 + 110.2063212194 * tau] + 6.91e-9 * cos[3.58561635364 + 362.8622925726 * tau] + 7.30e-9 * cos[2.25510749124 + 453.424893819 * tau] + 7.23e-9 * cos[4.75905991606 + 331.3215390738 * tau] + 6.73e-9 * cos[2.65544175682 + 75.5323580927 * tau] + 6.82e-9 * cos[5.16479782395 + 74.0308390419 * tau] + 6.89e-9 * cos[1.84748347121 + 41.6444977756 * tau] + 7.15e-9 * cos[5.56313177065 + 146.3818033969 * tau] + 7.06e-9 * cos[5.80210566917 + 157.6399519819 * tau] + 1.021e-8 * cos[1.79905869707 + 3.1813937377 * tau] + 7.99e-9 * cos[4.11425365829 + 125.9873238985 * tau] + 8.00e-9 * cos[3.2091293209 + 28.3111756513 * tau] + 7.65e-9 * cos[3.4545453366 + 214.7835681463 * tau] + 9.52e-9 * cos[3.00456073496 + 14.977853527 * tau] + 9.99e-9 * cos[0.33400530567 + 404.5067903482 * tau] + 9.56e-9 * cos[5.76811833839 + 128.9562693151 * tau] + 9.11e-9 * cos[6.23753038018 + 200.7689224658 * tau] + 9.14e-9 * cos[0.00764291274 + 536.8045120954 * tau] + 9.21e-9 * cos[3.07729879788 + 8.0767548473 * tau] + 1.001e-8 * cos[5.49914631698 + 256.5399405065 * tau] + 9.70e-9 * cos[1.71236273285 + 115.8835796217 * tau] + 1.238e-8 * cos[1.73023505315 + 149.6750717192 * tau] + 9.62e-9 * cos[3.30343472839 + 255.0554677982 * tau] + 1.018e-8 * cos[6.20393099094 + 835.0371344873 * tau] + 1.113e-8 * cos[3.87133607367 + 39.3568759152 * tau] + 1.380e-8 * cos[3.76141611602 + 92.940845832 * tau] + 1.263e-8 * cos[2.87116663203 + 74.6215398729 * tau] + 1.248e-8 * cos[3.13312504066 + 67.3592350258 * tau] + 1.181e-8 * cos[4.39598416757 + 180.2738692309 * tau] + 1.207e-8 * cos[3.67288675913 + 20.6069278195 * tau] + 1.495e-8 * cos[0.74986873597 + 75.0422309982 * tau] + 1.180e-8 * cos[0.79882196802 + 116.4260963429 * tau] + 1.342e-8 * cos[5.11117141196 + 51.2057253312 * tau] + 1.278e-8 * cos[4.53585702916 + 294.6729761443 * tau] + 1.269e-8 * cos[0.84167691738 + 767.3690829208 * tau] + 1.244e-8 * cos[4.97789913094 + 149.45132255 * tau] + 1.366e-8 * cos[2.15288773765 + 162.0933701068 * tau] + 1.374e-8 * cos[4.398979932 + 260.9933586314 * tau] + 1.260e-8 * cos[5.50922979275 + 74.9416572617 * tau] + 1.360e-8 * cos[2.89305157919 + 74.7334144575 * tau] + 1.709e-8 * cos[3.63188407264 + 554.0699874828 * tau] + 1.398e-8 * cos[0.33827838973 + 142.4496501338 * tau] + 1.364e-8 * cos[4.56045715617 + 42.5864537627 * tau] + 1.360e-8 * cos[5.4869124027 + 74.8297826771 * tau] + 1.577e-8 * cos[4.3802093672 + 80.7194894005 * tau] + 1.504e-8 * cos[1.34653259405 + 74.5209661364 * tau] + 1.711e-8 * cos[3.44237080993 + 522.5774180938 * tau] + 1.614e-8 * cos[3.39986066169 + 230.5645708254 * tau] + 1.519e-8 * cos[0.94716867229 + 372.4235201282 * tau] + 1.524e-8 * cos[6.05374020264 + 99.1606209555 * tau] + 1.766e-8 * cos[5.24239122261 + 105.4922706636 * tau] + 1.857e-8 * cos[1.66304484985 + 984.6003316219 * tau] + 1.745e-8 * cos[3.22821992592 + 218.4069048687 * tau] + 1.719e-8 * cos[2.22526635038 + 479.2883889155 * tau] + 1.833e-8 * cos[1.95824865568 + 81.8951455681 * tau] + 2.039e-8 * cos[2.97351088965 + 191.2076949102 * tau] + 2.480e-8 * cos[0.63321072542 + 187.6962327724 * tau] + 1.916e-8 * cos[1.60538526374 + 80.1982245387 * tau] + 2.061e-8 * cos[4.50102695788 + 5.9378908332 * tau] + 2.485e-8 * cos[3.5543384699 + 96.8729990951 * tau] + 2.071e-8 * cos[1.97429082033 + 18.1592472647 * tau] + 2.635e-8 * cos[0.53987945692 + 211.8146227297 * tau] + 2.206e-8 * cos[3.06995275892 + 59.8037450403 * tau] + 2.643e-8 * cos[3.9683272968 + 381.6122406683 * tau] + 2.633e-8 * cos[2.28385552693 + 32.1951448046 * tau] + 2.631e-8 * cos[1.55153254691 + 154.0166152595 * tau] + 2.555e-8 * cos[2.97023907145 + 378.6432952517 * tau] + 2.394e-8 * cos[2.21483198491 + 54.1746707478 * tau] + 2.474e-8 * cos[3.81319259323 + 7.1135470008 * tau] + 2.814e-8 * cos[3.96708337625 + 82.8583534146 * tau] + 3.747e-8 * cos[0.82999983666 + 74.2603337055 * tau] + 2.917e-8 * cos[4.21615078632 + 258.0244132148 * tau] + 3.285e-8 * cos[0.00780313833 + 75.7448064138 * tau] + 3.069e-8 * cos[4.49065085092 + 66.70484372 * tau] + 3.303e-8 * cos[2.09359507373 + 73.8183907208 * tau] + 3.190e-8 * cos[5.68929316349 + 235.3904959658 * tau] + 3.038e-8 * cos[4.68314286209 + 159.1244246902 * tau] + 3.390e-8 * cos[0.53497504164 + 206.1855484372 * tau] + 3.472e-8 * cos[0.3473799838 + 131.4039498699 * tau] + 3.943e-8 * cos[4.95136058926 + 265.9892934775 * tau] + 3.517e-8 * cos[5.44397685665 + 628.8515860501 * tau] + 3.445e-8 * cos[5.91769433069 + 296.1574488526 * tau] + 3.764e-8 * cos[5.2005209056 + 227.3137411185 * tau] + 3.812e-8 * cos[3.10475682509 + 181.7583419392 * tau] + 3.807e-8 * cos[2.24787582155 + 909.8187330546 * tau] + 3.796e-8 * cos[1.26231186682 + 75.3028634291 * tau] + 4.853e-8 * cos[2.03383592524 + 415.5524906121 * tau] + 5.692e-8 * cos[3.7656346318 + 67.6680515665 * tau] + 4.975e-8 * cos[4.06722486039 + 143.6253063014 * tau] + 6.419e-8 * cos[0.44895727879 + 140.001969579 * tau] + 4.950e-8 * cos[4.99672086239 + 219.891377577 * tau] + 5.309e-8 * cos[2.65421183211 + 300.6108669775 * tau] + 5.595e-8 * cos[5.68643434536 + 259.5088859231 * tau] + 6.772e-8 * cos[4.09374798222 + 137.0330241624 * tau] + 6.211e-8 * cos[0.58222518453 + 340.7708920448 * tau] + 6.394e-8 * cos[3.51142812432 + 220.4126424388 * tau] + 6.490e-8 * cos[0.88434578474 + 288.0806940053 * tau] + 6.947e-8 * cos[3.31871016057 + 56.6223513026 * tau] + 7.513e-8 * cos[2.982659701 + 114.3991069134 * tau] + 7.696e-8 * cos[3.25189037096 + 71.6002048296 * tau] + 8.302e-8 * cos[5.19247905162 + 77.2292791221 * tau] + 7.797e-8 * cos[5.11771906359 + 77.962992305 * tau] + 8.472e-8 * cos[3.36885457285 + 72.3339180125 * tau] + 1.1352e-7 * cos[2.12645777694 + 68.8437077341 * tau] + 9.978e-8 * cos[5.83600622359 + 604.4725636619 * tau] + 8.646e-8 * cos[4.18351923569 + 12.5301729722 * tau] + 1.2093e-7 * cos[2.53736362742 + 9.5612275556 * tau] + 9.127e-8 * cos[5.11093790809 + 153.4953503977 * tau] + 1.0107e-7 * cos[0.92911975959 + 65.2203710117 * tau] + 1.0030e-7 * cos[1.74828757238 + 22.0914005278 * tau] + 1.1838e-7 * cos[5.96756415681 + 87.3117715395 * tau] + 1.0553e-7 * cos[3.78602881738 + 490.3340891794 * tau] + 1.3803e-7 * cos[5.70712120608 + 74.8934731519 * tau] + 1.0232e-7 * cos[6.18772866993 + 373.9079928365 * tau] + 1.0360e-7 * cos[4.75567608732 + 183.2428146475 * tau] + 1.1450e-7 * cos[3.98177764866 + 106.9767433719 * tau] + 1.0741e-7 * cos[3.73401569675 + 1059.3819301892 * tau] + 1.1463e-7 * cos[5.73391138419 + 41.1019810544 * tau] + 1.3819e-7 * cos[2.67163927171 + 74.6697239827 * tau] + 1.6000e-7 * cos[1.95535748902 + 186.2117600641 * tau] + 1.5142e-7 * cos[2.91786832554 + 426.598190876 * tau] + 2.1348e-7 * cos[1.01350946382 + 33.6796175129 * tau] + 1.9768e-7 * cos[5.77906142568 + 305.3461693927 * tau] + 2.0299e-7 * cos[1.06070151806 + 454.9093665273 * tau] + 1.9789e-7 * cos[4.72260849557 + 297.6419215609 * tau] + 1.9137e-7 * cos[1.30214105578 + 62.2514255951 * tau] + 2.2373e-7 * cos[5.73687615457 + 4.4534181249 * tau] + 1.9826e-7 * cos[2.5933418223 + 84.3428261229 * tau] + 2.1418e-7 * cos[0.63722900407 + 277.0349937414 * tau] + 2.4315e-7 * cos[5.48987913644 + 79.2350166922 * tau] + 2.4635e-7 * cos[1.11645461259 + 3.9321532631 * tau] + 2.4277e-7 * cos[2.84989187496 + 127.4717966068 * tau] + 2.7574e-7 * cos[3.7006426696 + 36.6485629295 * tau] + 3.2028e-7 * cos[1.29160071142 + 145.6310438715 * tau] + 3.7336e-7 * cos[4.02053241202 + 52.6901980395 * tau] + 3.1315e-7 * cos[2.71969470781 + 145.1097790097 * tau] + 3.3073e-7 * cos[3.61378095742 + 221.3758502853 * tau] + 3.5140e-7 * cos[4.00111634363 + 112.9146342051 * tau] + 4.1346e-7 * cos[3.22134319551 + 160.6088973985 * tau] + 3.9157e-7 * cos[2.17108251341 + 351.8165923087 * tau] + 3.8591e-7 * cos[5.17394663303 + 202.2533951741 * tau] + 4.4470e-7 * cos[2.74408231138 + 152.5321425512 * tau] + 5.4255e-7 * cos[3.35166579613 + 184.7272873558 * tau] + 5.7502e-7 * cos[2.67039425415 + 108.4612160802 * tau] + 7.1172e-7 * cos[0.83343269975 + 109.9456887885 * tau] + 7.2617e-7 * cos[0.20564696113 + 225.8292684102 * tau] + 8.6163e-7 * cos[0.70262506622 + 39.6175083461 * tau] + 0.00000106441 * cos[0.94103112994 + 70.3281804424 * tau] + 0.00000116363 * cos[5.73877190007 + 70.8494453042 * tau] + 0.00000102049 * cos[2.61876256513 + 78.7137518304 * tau] + 0.00000144064 * cos[5.96239326415 + 35.1640902212 * tau] + 0.00000160368 * cos[5.33635436463 + 111.4301614968 * tau] + 0.00000173667 * cos[1.93654269131 + 380.12776796 * tau] + 0.00000174895 * cos[1.23550262213 + 146.594251718 * tau] + 0.00000179935 * cos[3.72487952673 + 299.1263942692 * tau] + 0.00000244698 * cos[0.78795150326 + 2.9689454166 * tau] + 0.00000215838 * cos[1.5912170494 + 38.1330356378 * tau] + 0.00000232649 * cos[2.25716421383 + 222.8603229936 * tau] + 0.0000046263 * cos[0.74256727574 + 85.8272988312 * tau] + 0.00000434625 * cos[0.34065281858 + 77.7505439839 * tau] + 0.00000522309 * cos[3.3208519477 + 138.5174968707 * tau] + 0.00000436843 * cos[3.38082524317 + 529.6909650946 * tau] + 0.00000430668 * cos[3.55445034854 + 213.299095438 * tau] + 0.00000420265 * cos[5.21279984788 + 11.0457002639 * tau] + 0.00000760624 * cos[6.14000431923 + 71.8126531507 * tau] + 0.00000924055 * cos[4.03822927853 + 151.0476698429 * tau] + 0.00001522172 * cos[0.27960386377 + 63.7358983034 * tau] + 0.00002010257 * cos[6.05550401088 + 148.0787244263 * tau] + 0.00002972318 * cos[2.24367035538 + 1.4844727083 * tau] + 0.00003259455 * cos[1.2611938596 + 224.3447957019 * tau] + 0.00009926151 * cos[0.57630387917 + 73.297125859 * tau] + 0.00009963744 * cos[1.61603876357 + 76.2660712756 * tau] + 0.00061601203 * cos[3.14159265359 + 0.0 * tau] + 0.00062341405 * cos[5.08111175856 + 149.5631971346 * tau] + 0.01346277639 * cos[2.61877810545 + 74.7815985673 * tau]; B1 = 1.54e-9 * cos[4.18369977366 + 39.3568759152 * tau] + 1.21e-9 * cos[6.0823907637 + 260.9933586314 * tau] + 1.21e-9 * cos[2.13544759505 + 209.3669421749 * tau] + 1.18e-9 * cos[1.50613822829 + 344.7030453079 * tau] + 1.18e-9 * cos[4.2264078889 + 75.5323580927 * tau] + 1.46e-9 * cos[5.0820733036 + 294.6729761443 * tau] + 1.19e-9 * cos[0.45375065997 + 74.0308390419 * tau] + 1.22e-9 * cos[1.20639876458 + 5.4166259714 * tau] + 1.24e-9 * cos[0.42063711585 + 149.45132255 * tau] + 1.34e-9 * cos[3.22507836958 + 479.2883889155 * tau] + 1.36e-9 * cos[2.51083022906 + 372.4235201282 * tau] + 1.50e-9 * cos[0.92771324396 + 404.5067903482 * tau] + 1.59e-9 * cos[4.91721631097 + 143.6253063014 * tau] + 1.73e-9 * cos[5.59700344643 + 68.8437077341 * tau] + 1.94e-9 * cos[0.06960211137 + 42.5864537627 * tau] + 1.74e-9 * cos[3.15418942153 + 228.276948965 * tau] + 2.13e-9 * cos[2.29528235429 + 32.1951448046 * tau] + 1.94e-9 * cos[4.17282454759 + 116.4260963429 * tau] + 2.01e-9 * cos[4.54140547837 + 20.6069278195 * tau] + 2.12e-9 * cos[0.51761494342 + 74.9416572617 * tau] + 2.13e-9 * cos[4.16218259902 + 74.6215398729 * tau] + 2.52e-9 * cos[2.04143912495 + 75.0422309982 * tau] + 2.53e-9 * cos[2.63817804331 + 74.5209661364 * tau] + 2.29e-9 * cos[4.18462288684 + 74.7334144575 * tau] + 2.29e-9 * cos[0.49529839431 + 74.8297826771 * tau] + 2.80e-9 * cos[1.73679618032 + 265.9892934775 * tau] + 2.34e-9 * cos[0.27679874465 + 33.1371007917 * tau] + 2.57e-9 * cos[1.82441994046 + 230.5645708254 * tau] + 2.75e-9 * cos[5.35665949805 + 80.7194894005 * tau] + 2.48e-9 * cos[4.90614051989 + 41.6444977756 * tau] + 2.97e-9 * cos[1.16538119842 + 146.3818033969 * tau] + 3.38e-9 * cos[2.8464576889 + 154.0166152595 * tau] + 2.50e-9 * cos[1.23231297183 + 703.6331846174 * tau] + 2.88e-9 * cos[4.42249612833 + 195.1398481733 * tau] + 3.23e-9 * cos[4.90410549341 + 258.0244132148 * tau] + 2.73e-9 * cos[3.29483889428 + 387.2413149608 * tau] + 2.72e-9 * cos[3.91340553608 + 617.8058857862 * tau] + 2.82e-9 * cos[3.70093718573 + 108.4612160802 * tau] + 3.14e-9 * cos[4.68400251693 + 14.977853527 * tau] + 3.18e-9 * cos[0.7017635951 + 181.7583419392 * tau] + 3.15e-9 * cos[2.44922921309 + 187.6962327724 * tau] + 2.98e-9 * cos[1.71815652029 + 235.3904959658 * tau] + 3.51e-9 * cos[6.24769322491 + 5.9378908332 * tau] + 3.53e-9 * cos[0.48749845867 + 128.9562693151 * tau] + 3.01e-9 * cos[4.46417652272 + 536.8045120954 * tau] + 3.06e-9 * cos[0.15517399606 + 159.1244246902 * tau] + 3.60e-9 * cos[1.47248643716 + 378.6432952517 * tau] + 3.33e-9 * cos[0.3201483795 + 2.4476805548 * tau] + 4.19e-9 * cos[2.80644155875 + 72.3339180125 * tau] + 4.55e-9 * cos[5.15414537021 + 522.5774180938 * tau] + 5.09e-9 * cos[5.83556856314 + 191.2076949102 * tau] + 3.78e-9 * cos[1.91873737843 + 202.2533951741 * tau] + 4.56e-9 * cos[2.44190834824 + 381.6122406683 * tau] + 4.45e-9 * cos[0.33164113115 + 227.3137411185 * tau] + 4.13e-9 * cos[5.36482818305 + 82.8583534146 * tau] + 4.45e-9 * cos[2.51784247184 + 604.4725636619 * tau] + 4.89e-9 * cos[1.83419944488 + 92.940845832 * tau] + 5.19e-9 * cos[2.01872911223 + 142.4496501338 * tau] + 6.22e-9 * cos[2.2180194485 + 211.8146227297 * tau] + 5.29e-9 * cos[2.35940463062 + 7.1135470008 * tau] + 6.35e-9 * cos[2.21125075603 + 74.2603337055 * tau] + 6.11e-9 * cos[0.97629869063 + 296.1574488526 * tau] + 6.10e-9 * cos[6.07202921132 + 219.891377577 * tau] + 5.90e-9 * cos[4.17885957237 + 300.6108669775 * tau] + 6.00e-9 * cos[4.42462853209 + 415.5524906121 * tau] + 7.27e-9 * cos[0.02846968582 + 66.70484372 * tau] + 6.37e-9 * cos[2.64378420008 + 75.3028634291 * tau] + 8.60e-9 * cos[0.21225398802 + 3.1813937377 * tau] + 8.72e-9 * cos[0.30134022304 + 12.5301729722 * tau] + 8.79e-9 * cos[1.82006610038 + 73.8183907208 * tau] + 6.56e-9 * cos[6.16899483115 + 96.8729990951 * tau] + 8.22e-9 * cos[0.01949759759 + 18.1592472647 * tau] + 7.86e-9 * cos[5.18884635415 + 114.3991069134 * tau] + 7.09e-9 * cos[3.18853632737 + 80.1982245387 * tau] + 7.08e-9 * cos[0.00007309836 + 81.8951455681 * tau] + 8.81e-9 * cos[4.31294603221 + 9.5612275556 * tau] + 8.20e-9 * cos[0.78610123063 + 259.5088859231 * tau] + 8.51e-9 * cos[0.95029849401 + 909.8187330546 * tau] + 9.61e-9 * cos[5.48175535705 + 490.3340891794 * tau] + 1.189e-8 * cos[0.90595784409 + 33.6796175129 * tau] + 1.096e-8 * cos[1.63909426062 + 41.1019810544 * tau] + 1.065e-8 * cos[4.15616015505 + 288.0806940053 * tau] + 1.439e-8 * cos[0.99170994448 + 74.8934731519 * tau] + 1.068e-8 * cos[1.51430678116 + 373.9079928365 * tau] + 1.317e-8 * cos[1.91178535183 + 140.001969579 * tau] + 1.495e-8 * cos[5.55621838458 + 67.6680515665 * tau] + 1.405e-8 * cos[2.43582184515 + 87.3117715395 * tau] + 1.358e-8 * cos[5.85111427068 + 183.2428146475 * tau] + 1.453e-8 * cos[2.22988903923 + 206.1855484372 * tau] + 1.463e-8 * cos[5.14953143442 + 84.3428261229 * tau] + 1.459e-8 * cos[6.17427145114 + 426.598190876 * tau] + 1.522e-8 * cos[1.00801468633 + 75.7448064138 * tau] + 1.428e-8 * cos[0.31508367934 + 137.0330241624 * tau] + 1.659e-8 * cos[5.86539712478 + 454.9093665273 * tau] + 1.496e-8 * cos[1.72084298116 + 220.4126424388 * tau] + 1.661e-8 * cos[4.84483054269 + 62.2514255951 * tau] + 1.759e-8 * cos[2.10240976488 + 131.4039498699 * tau] + 1.861e-8 * cos[3.75619999278 + 145.1097790097 * tau] + 2.103e-8 * cos[4.27438518414 + 22.0914005278 * tau] + 2.265e-8 * cos[1.41055702214 + 4.4534181249 * tau] + 2.157e-8 * cos[2.10150995852 + 127.4717966068 * tau] + 2.661e-8 * cos[0.53230319176 + 79.2350166922 * tau] + 2.299e-8 * cos[3.57748029365 + 186.2117600641 * tau] + 2.212e-8 * cos[2.88960413468 + 277.0349937414 * tau] + 2.541e-8 * cos[0.40106060407 + 77.2292791221 * tau] + 2.247e-8 * cos[4.24726481845 + 36.6485629295 * tau] + 2.544e-8 * cos[5.25903565788 + 56.6223513026 * tau] + 2.563e-8 * cos[4.15665405963 + 305.3461693927 * tau] + 2.505e-8 * cos[0.04576283378 + 297.6419215609 * tau] + 2.788e-8 * cos[4.24118032837 + 74.6697239827 * tau] + 3.114e-8 * cos[0.10537144899 + 112.9146342051 * tau] + 3.758e-8 * cos[3.94715595219 + 351.8165923087 * tau] + 3.481e-8 * cos[0.64108927026 + 153.4953503977 * tau] + 3.738e-8 * cos[4.75287390209 + 70.3281804424 * tau] + 4.894e-8 * cos[6.01164167429 + 160.6088973985 * tau] + 4.711e-8 * cos[4.24289069791 + 152.5321425512 * tau] + 4.192e-8 * cos[3.29643787103 + 77.962992305 * tau] + 4.840e-8 * cos[4.86390682412 + 221.3758502853 * tau] + 4.768e-8 * cos[5.90574941745 + 145.6310438715 * tau] + 6.089e-8 * cos[1.31830108565 + 52.6901980395 * tau] + 6.451e-8 * cos[4.98294064391 + 71.6002048296 * tau] + 7.410e-8 * cos[1.17879753422 + 65.2203710117 * tau] + 6.584e-8 * cos[5.50417589189 + 35.1640902212 * tau] + 8.082e-8 * cos[4.69064168719 + 184.7272873558 * tau] + 7.660e-8 * cos[1.8110846285 + 225.8292684102 * tau] + 9.405e-8 * cos[2.76950513184 + 39.6175083461 * tau] + 1.0249e-7 * cos[2.3127880772 + 109.9456887885 * tau] + 1.0847e-7 * cos[2.66326308043 + 3.9321532631 * tau] + 1.9411e-7 * cos[3.83015453768 + 38.1330356378 * tau] + 1.9102e-7 * cos[1.09213276596 + 111.4301614968 * tau] + 2.0408e-7 * cos[3.70179681605 + 70.8494453042 * tau] + 1.9590e-7 * cos[5.37213500014 + 299.1263942692 * tau] + 2.2992e-7 * cos[2.48887389394 + 146.594251718 * tau] + 2.0094e-7 * cos[5.9308563351 + 529.6909650946 * tau] + 2.6222e-7 * cos[0.41620628369 + 380.12776796 * tau] + 2.6977e-7 * cos[5.33695500294 + 213.299095438 * tau] + 3.0297e-7 * cos[2.56371683644 + 2.9689454166 * tau] + 3.1959e-7 * cos[3.77446207748 + 222.8603229936 * tau] + 4.1912e-7 * cos[1.21476607434 + 11.0457002639 * tau] + 5.3690e-7 * cos[1.70455769943 + 77.7505439839 * tau] + 4.1377e-7 * cos[4.45476669141 + 78.7137518304 * tau] + 5.5573e-7 * cos[3.40135416354 + 85.8272988312 * tau] + 8.3493e-7 * cos[3.59152795558 + 71.8126531507 * tau] + 0.00000112432 * cos[5.57299891505 + 151.0476698429 * tau] + 0.00000110888 * cos[5.32888676461 + 138.5174968707 * tau] + 0.00000154336 * cos[3.78575467747 + 63.7358983034 * tau] + 0.00000307214 * cos[1.25456766737 + 148.0787244263 * tau] + 0.00000450639 * cos[3.77656180977 + 1.4844727083 * tau] + 0.00000399847 * cos[2.84767037795 + 224.3447957019 * tau] + 0.00001374449 * cos[0.0 + 0.0 * tau] + 0.0000136886 * cos[3.06861722047 + 76.2660712756 * tau] + 0.00001725703 * cos[2.12193159895 + 73.297125859 * tau] + 0.0000856323 * cos[0.33819986165 + 149.5631971346 * tau] + 0.00206366162 * cos[4.12394311407 + 74.7815985673 * tau]; B2 = 1.16e-9 * cos[6.26646620658 + 220.4126424388 * tau] + 1.27e-9 * cos[6.17908901556 + 62.2514255951 * tau] + 1.34e-9 * cos[1.29065526326 + 206.1855484372 * tau] + 1.40e-9 * cos[0.2871476287 + 221.3758502853 * tau] + 1.74e-9 * cos[4.76111441901 + 277.0349937414 * tau] + 1.55e-9 * cos[3.5539324911 + 18.1592472647 * tau] + 1.70e-9 * cos[2.75844544119 + 73.8183907208 * tau] + 1.79e-9 * cos[2.69065316892 + 145.6310438715 * tau] + 1.93e-9 * cos[2.2641693816 + 75.7448064138 * tau] + 1.97e-9 * cos[1.56602555362 + 9.5612275556 * tau] + 2.22e-9 * cos[0.0411188355 + 184.7272873558 * tau] + 2.64e-9 * cos[1.82574036051 + 77.2292791221 * tau] + 2.16e-9 * cos[5.80700510713 + 74.6697239827 * tau] + 2.15e-9 * cos[3.88195737361 + 131.4039498699 * tau] + 2.63e-9 * cos[1.59203582407 + 84.3428261229 * tau] + 2.27e-9 * cos[2.74138067839 + 12.5301729722 * tau] + 2.39e-9 * cos[4.7767930608 + 87.3117715395 * tau] + 2.50e-9 * cos[3.58780257084 + 202.2533951741 * tau] + 3.06e-9 * cos[1.10359318443 + 70.8494453042 * tau] + 3.16e-9 * cos[3.93430525759 + 52.6901980395 * tau] + 3.36e-9 * cos[4.23512034174 + 35.1640902212 * tau] + 2.88e-9 * cos[0.47061435406 + 22.0914005278 * tau] + 3.38e-9 * cos[5.14594268587 + 3.1813937377 * tau] + 3.08e-9 * cos[6.26508780547 + 70.3281804424 * tau] + 3.26e-9 * cos[4.5292001243 + 39.6175083461 * tau] + 4.21e-9 * cos[2.16819778071 + 56.6223513026 * tau] + 4.81e-9 * cos[2.81511187371 + 160.6088973985 * tau] + 4.57e-9 * cos[3.96543219832 + 454.9093665273 * tau] + 5.57e-9 * cos[3.13408880388 + 65.2203710117 * tau] + 4.86e-9 * cos[2.05237757516 + 299.1263942692 * tau] + 5.43e-9 * cos[2.40369406419 + 153.4953503977 * tau] + 5.86e-9 * cos[4.00404667232 + 109.9456887885 * tau] + 5.96e-9 * cos[5.39265533517 + 127.4717966068 * tau] + 6.33e-9 * cos[0.41074353315 + 213.299095438 * tau] + 8.68e-9 * cos[5.55175791193 + 38.1330356378 * tau] + 8.58e-9 * cos[2.78728745263 + 111.4301614968 * tau] + 1.025e-8 * cos[4.33698643491 + 2.9689454166 * tau] + 9.77e-9 * cos[1.52652616357 + 77.962992305 * tau] + 1.146e-8 * cos[1.95280464754 + 529.6909650946 * tau] + 1.205e-8 * cos[5.05109252937 + 380.12776796 * tau] + 1.103e-8 * cos[5.54212014132 + 222.8603229936 * tau] + 1.183e-8 * cos[3.68471361409 + 77.7505439839 * tau] + 1.394e-8 * cos[4.13126838571 + 146.594251718 * tau] + 2.585e-8 * cos[0.41383633246 + 71.6002048296 * tau] + 2.353e-8 * cos[4.23069776466 + 3.9321532631 * tau] + 2.555e-8 * cos[1.44444215715 + 151.0476698429 * tau] + 3.488e-8 * cos[3.53472172445 + 11.0457002639 * tau] + 3.816e-8 * cos[6.28224514574 + 85.8272988312 * tau] + 4.729e-8 * cos[5.16274174929 + 71.8126531507 * tau] + 8.299e-8 * cos[6.26655615197 + 78.7137518304 * tau] + 1.0122e-7 * cos[5.00290894862 + 224.3447957019 * tau] + 1.4261e-7 * cos[2.84517742687 + 148.0787244263 * tau] + 1.3963e-7 * cos[5.07234043994 + 63.7358983034 * tau] + 1.4793e-7 * cos[0.87983715652 + 138.5174968707 * tau] + 2.0107e-7 * cos[5.46264485369 + 1.4844727083 * tau] + 4.5419e-7 * cos[4.87822046064 + 76.2660712756 * tau] + 9.4969e-7 * cos[3.84237569809 + 73.297125859 * tau] + 0.00000286265 * cos[2.17729776353 + 149.5631971346 * tau] + 0.00000556926 * cos[0.0 + 0.0 * tau] + 0.00009211656 * cos[5.80044305785 + 74.7815985673 * tau]; B3 = 1.70e-9 * cos[2.93672195979 + 11.0457002639 * tau] + 1.68e-9 * cos[4.67745630044 + 70.8494453042 * tau] + 1.80e-9 * cos[5.55657564049 + 3.9321532631 * tau] + 2.03e-9 * cos[0.60406901282 + 71.8126531507 * tau] + 2.72e-9 * cos[4.00684090176 + 85.8272988312 * tau] + 4.67e-9 * cos[4.42872012006 + 148.0787244263 * tau] + 5.90e-9 * cos[0.80206040001 + 1.4844727083 * tau] + 6.40e-9 * cos[1.87238784591 + 71.6002048296 * tau] + 1.087e-8 * cos[0.28687213135 + 76.2660712756 * tau] + 1.183e-8 * cos[2.58856450374 + 138.5174968707 * tau] + 1.265e-8 * cos[1.66795295537 + 78.7137518304 * tau] + 1.602e-8 * cos[1.05657834344 + 63.7358983034 * tau] + 3.361e-8 * cos[5.77804694935 + 73.297125859 * tau] + 6.154e-8 * cos[4.00663614486 + 149.5631971346 * tau] + 1.1048e-7 * cos[3.14159265359 + 0.0 * tau] + 0.00000267832 * cos[1.25097888291 + 74.7815985673 * tau]; B4 = 3.00e-9 * cos[3.14159265359 + 0.0 * tau] + 5.719e-8 * cos[2.85499529315 + 74.7815985673 * tau]; R0 = 2.420e-8 * cos[3.66436222896 + 3.6233367224 * tau] + 2.317e-8 * cos[6.27946729049 + 493.0424021651 * tau] + 2.181e-8 * cos[5.39048760967 + 318.679491517 * tau] + 2.402e-8 * cos[4.47942458428 + 569.0478410098 * tau] + 2.579e-8 * cos[1.76841912074 + 710.7467316182 * tau] + 2.195e-8 * cos[4.94038065567 + 1222.2784494481 * tau] + 2.260e-8 * cos[3.85026258012 + 753.1419889192 * tau] + 2.445e-8 * cos[2.29979337782 + 280.2163874791 * tau] + 2.228e-8 * cos[3.33159258912 + 1257.7031721002 * tau] + 2.670e-8 * cos[3.48404619442 + 123.0183784819 * tau] + 2.423e-8 * cos[4.24559706691 + 27.7417266797 * tau] + 2.846e-8 * cos[0.02430566936 + 563.3705826075 * tau] + 3.074e-8 * cos[1.16740737548 + 58.6280888727 * tau] + 3.089e-8 * cos[5.69639540598 + 537.3952129264 * tau] + 2.301e-8 * cos[2.47762267951 + 107.918699359 * tau] + 2.260e-8 * cos[6.23958645351 + 400.5746370851 * tau] + 2.280e-8 * cos[2.52476606956 + 156.6767441354 * tau] + 2.307e-8 * cos[4.07685834192 + 78.9262001515 * tau] + 2.332e-8 * cos[3.19371804203 + 683.0262567979 * tau] + 2.465e-8 * cos[1.4924267283 + 141.6988906084 * tau] + 2.608e-8 * cos[3.11386505876 + 578.449009871 * tau] + 2.441e-8 * cos[5.19830386978 + 380.2396425446 * tau] + 2.685e-8 * cos[5.03687735302 + 763.2244813366 * tau] + 3.230e-8 * cos[5.65661970187 + 134.3728952865 * tau] + 2.768e-8 * cos[5.4225616879 + 482.2573343321 * tau] + 2.830e-8 * cos[5.70274947128 + 327.4375699205 * tau] + 3.027e-8 * cos[5.38233284458 + 44.0921783304 * tau] + 3.236e-8 * cos[3.47802643973 + 283.6272758804 * tau] + 3.220e-8 * cos[1.0629018794 + 388.7257876691 * tau] + 2.750e-8 * cos[1.29662662582 + 108.982480942 * tau] + 3.223e-8 * cos[2.57976952494 + 267.5856407704 * tau] + 2.427e-8 * cos[4.6491343131 + 392.6579409322 * tau] + 2.779e-8 * cos[1.54196175338 + 680.0573113813 * tau] + 2.877e-8 * cos[5.47506403197 + 1436.5407527326 * tau] + 2.667e-8 * cos[6.13733078138 + 161.4120465506 * tau] + 2.724e-8 * cos[5.73177362443 + 688.6553310904 * tau] + 2.929e-8 * cos[2.34725672182 + 273.1510245881 * tau] + 2.476e-8 * cos[1.55163657371 + 1234.1272988641 * tau] + 2.778e-8 * cos[4.97805873371 + 132.5796060375 * tau] + 2.547e-8 * cos[4.45612695304 + 901.2207133455 * tau] + 2.607e-8 * cos[3.51828908958 + 112.3933693433 * tau] + 3.502e-8 * cos[0.17203520151 + 371.5297482509 * tau] + 2.501e-8 * cos[0.50645055144 + 29.226199388 * tau] + 3.422e-8 * cos[6.18592254593 + 281.4884118663 * tau] + 3.091e-8 * cos[4.87979664891 + 582.641795565 * tau] + 2.857e-8 * cos[4.11031053901 + 2267.4332856357 * tau] + 2.975e-8 * cos[5.72770980032 + 1011.4270345649 * tau] + 2.530e-8 * cos[0.13809025963 + 591.9423906897 * tau] + 3.307e-8 * cos[3.31452419197 + 732.97125859 * tau] + 3.319e-8 * cos[5.98200177347 + 533.8355666788 * tau] + 3.001e-8 * cos[3.24181300229 + 1618.8685436434 * tau] + 3.016e-8 * cos[3.16691101108 + 385.7568422525 * tau] + 3.160e-8 * cos[4.82168102018 + 714.6788848813 * tau] + 2.586e-8 * cos[4.09771865336 + 1448.9108670104 * tau] + 2.902e-8 * cos[2.61388996483 + 115.3623147599 * tau] + 2.558e-8 * cos[5.07921716363 + 197.7999770492 * tau] + 3.180e-8 * cos[4.49938964982 + 694.8382229522 * tau] + 3.290e-8 * cos[1.35055242247 + 515.6763194141 * tau] + 2.619e-8 * cos[4.43681016753 + 949.1756089698 * tau] + 3.373e-8 * cos[5.52806001629 + 10210.3166007944 * tau] + 3.158e-8 * cos[4.58160924364 + 12492.8545741238 * tau] + 2.565e-8 * cos[3.47443238116 + 2042.4977891028 * tau] + 3.097e-8 * cos[5.47452034532 + 302.3772239761 * tau] + 3.260e-8 * cos[3.46047977615 + 74.1908977363 * tau] + 3.280e-8 * cos[1.75059058234 + 683.9894646444 * tau] + 2.600e-8 * cos[3.8010722697 + 70.6369969831 * tau] + 3.483e-8 * cos[1.97113718781 + 655.938921424 * tau] + 2.573e-8 * cos[4.41371056719 + 262.0571402144 * tau] + 2.711e-8 * cos[1.25250599577 + 52250.5878817157 * tau] + 2.679e-8 * cos[1.32002304425 + 236.1936451179 * tau] + 2.894e-8 * cos[2.2699912084 + 1615.8995982268 * tau] + 2.943e-8 * cos[3.58544468129 + 12489.8856287072 * tau] + 3.500e-8 * cos[4.41810854452 + 322.6116447801 * tau] + 3.678e-8 * cos[3.46436124301 + 26468.0309095342 * tau] + 2.699e-8 * cos[2.98043546816 + 27.7204748203 * tau] + 2.928e-8 * cos[5.73784691627 + 14.6690369863 * tau] + 2.722e-8 * cos[4.98348297926 + 754.0357607965 * tau] + 3.001e-8 * cos[2.45489658954 + 230.8252032563 * tau] + 3.008e-8 * cos[4.24451493185 + 170.1701249541 * tau] + 2.742e-8 * cos[6.24317126103 + 447.2051186955 * tau] + 2.939e-8 * cos[3.2631997985 + 130.552616608 * tau] + 3.261e-8 * cos[4.39228048501 + 75.3722993983 * tau] + 3.702e-8 * cos[0.66231252049 + 10101.8553847142 * tau] + 2.634e-8 * cos[5.61201014857 + 412.3710968744 * tau] + 2.975e-8 * cos[0.13746189123 + 9987.4562778008 * tau] + 3.584e-8 * cos[3.12196206517 + 108.7218485111 * tau] + 3.504e-8 * cos[4.10521239427 + 6280.1069045748 * tau] + 3.062e-8 * cos[1.93542241882 + 987.7817253596 * tau] + 2.960e-8 * cos[5.31788128818 + 1467.0701142751 * tau] + 3.338e-8 * cos[3.98641322371 + 488.5889840402 * tau] + 2.755e-8 * cos[5.43548338507 + 246.9787129509 * tau] + 2.707e-8 * cos[0.46257342768 + 1458.472094566 * tau] + 2.825e-8 * cos[1.24120423378 + 989.0537497468 * tau] + 2.747e-8 * cos[4.5747626302 + 226.6324175623 * tau] + 3.279e-8 * cos[6.13563821647 + 276.0717858949 * tau] + 3.306e-8 * cos[6.20620840278 + 11.5669651257 * tau] + 2.731e-8 * cos[0.9666341177 + 582.3811631341 * tau] + 3.620e-8 * cos[5.57691156197 + 10066.691294493 * tau] + 3.603e-8 * cos[2.72183511139 + 508.6264628881 * tau] + 2.836e-8 * cos[1.2077968366 + 1119.1856752295 * tau] + 3.485e-8 * cos[4.5320530238 + 676.2852168126 * tau] + 2.962e-8 * cos[2.29867992492 + 661.1586054393 * tau] + 3.509e-8 * cos[1.92501559437 + 343.4792050305 * tau] + 3.280e-8 * cos[0.74832416123 + 422.7142217227 * tau] + 2.797e-8 * cos[5.97725967979 + 2014.0265547571 * tau] + 2.865e-8 * cos[3.21935127992 + 3.8202786785 * tau] + 2.861e-8 * cos[2.19284349075 + 295.1942410061 * tau] + 2.818e-8 * cos[4.44508352472 + 369.342700127 * tau] + 3.657e-8 * cos[6.02755271763 + 340.8827666294 * tau] + 2.845e-8 * cos[0.34922064899 + 85.9391734158 * tau] + 2.865e-8 * cos[0.53734608663 + 273.8536000037 * tau] + 3.041e-8 * cos[2.14503983522 + 6604.958782124 * tau] + 3.378e-8 * cos[3.82658652472 + 25936.85547173129 * tau] + 3.091e-8 * cos[4.9194127978 + 221.1634019642 * tau] + 3.117e-8 * cos[0.76332399369 + 229.4526051326 * tau] + 3.056e-8 * cos[2.97000936733 + 250.6020496733 * tau] + 3.931e-8 * cos[5.52289695589 + 6171.6456884946 * tau] + 3.707e-8 * cos[4.14868763219 + 6136.4815982734 * tau] + 2.931e-8 * cos[0.78809830626 + 540.0553418023 * tau] + 3.470e-8 * cos[1.89084704021 + 44.6134431922 * tau] + 3.025e-8 * cos[1.19297242418 + 104.8378793578 * tau] + 2.923e-8 * cos[0.37358823115 + 6.4804075544 * tau] + 3.392e-8 * cos[3.0855211609 + 245.4942402426 * tau] + 2.814e-8 * cos[2.17260061398 + 191.3195694948 * tau] + 3.724e-8 * cos[4.94511644698 + 984.4884570373 * tau] + 3.846e-8 * cos[5.38315286213 + 980.146913497 * tau] + 3.842e-8 * cos[1.87994191354 + 299.7170951002 * tau] + 2.867e-8 * cos[5.17129632099 + 346.1875180162 * tau] + 4.030e-8 * cos[4.41794838679 + 772.5887669361 * tau] + 3.309e-8 * cos[3.10770680369 + 519.6084726772 * tau] + 2.940e-8 * cos[4.33606107945 + 78263.70942472259 * tau] + 3.488e-8 * cos[5.62713714766 + 3189.5647568569 * tau] + 3.534e-8 * cos[4.42464754991 + 46.470422916 * tau] + 3.796e-8 * cos[4.29502458131 + 164.5410506616 * tau] + 3.706e-8 * cos[2.47342147635 + 64.2571631652 * tau] + 2.899e-8 * cos[5.12928266291 + 448.3170843883 * tau] + 3.355e-8 * cos[5.45857968674 + 73.0846775379 * tau] + 3.181e-8 * cos[2.87968862974 + 9914.1591519418 * tau] + 3.173e-8 * cos[5.68964342749 + 4.192785694 * tau] + 3.798e-8 * cos[5.76464888795 + 586.377006872 * tau] + 3.235e-8 * cos[5.09681747179 + 464.9918589447 * tau] + 3.180e-8 * cos[1.03370427552 + 885.4397106664 * tau] + 3.194e-8 * cos[4.56998602897 + 1385.174968707 * tau] + 3.374e-8 * cos[0.4097440558 + 677.7696895209 * tau] + 3.918e-8 * cos[5.73859894835 + 94.4253185403 * tau] + 3.697e-8 * cos[0.89932694516 + 75.6329318292 * tau] + 4.138e-8 * cos[0.28927701421 + 517.1607921224 * tau] + 4.065e-8 * cos[3.53637930424 + 402.2191684878 * tau] + 3.226e-8 * cos[3.19780030434 + 377.6800874052 * tau] + 3.022e-8 * cos[2.08709314702 + 34.5309507748 * tau] + 3.141e-8 * cos[3.11768616608 + 6607.9277275406 * tau] + 3.334e-8 * cos[4.81681647959 + 597.3590166611 * tau] + 3.008e-8 * cos[0.64086342534 + 210.8514148832 * tau] + 3.032e-8 * cos[5.77852412826 + 612.1768114937 * tau] + 3.986e-8 * cos[1.0684287447 + 743.7932096847 * tau] + 3.738e-8 * cos[1.7675491018 + 384.5811860849 * tau] + 3.330e-8 * cos[1.76480149289 + 78.9743842613 * tau] + 3.562e-8 * cos[3.80604468765 + 1525.3369969804 * tau] + 3.622e-8 * cos[1.10742531477 + 2250.1678102483 * tau] + 3.547e-8 * cos[5.63096398237 + 440.8947208468 * tau] + 3.679e-8 * cos[1.10949079061 + 686.958410061 * tau] + 3.700e-8 * cos[0.67445695843 + 73.9302653054 * tau] + 3.580e-8 * cos[3.43130119859 + 912.7876784712 * tau] + 3.666e-8 * cos[4.2262033899 + 36.1754821775 * tau] + 3.593e-8 * cos[3.91831549069 + 10134.5717943806 * tau] + 3.457e-8 * cos[3.94796907904 + 444.8268741099 * tau] + 4.161e-8 * cos[5.39091883238 + 1363.2436268736 * tau] + 3.423e-8 * cos[5.07987216951 + 143.3434220111 * tau] + 3.215e-8 * cos[3.73878297941 + 335.7749571987 * tau] + 3.382e-8 * cos[1.45717307307 + 5983.9494557222 * tau] + 3.943e-8 * cos[4.6264154302 + 898.7730327907 * tau] + 3.330e-8 * cos[5.62171319933 + 1116.0042814918 * tau] + 3.525e-8 * cos[4.8031643597 + 429.7795846137 * tau] + 3.951e-8 * cos[1.60185888278 + 576.1613880106 * tau] + 4.357e-8 * cos[4.15105623366 + 10175.1525105732 * tau] + 3.777e-8 * cos[5.94890597104 + 873.1701701251 * tau] + 3.171e-8 * cos[4.85529878165 + 138.5656809805 * tau] + 3.663e-8 * cos[1.80556740809 + 31.5407534988 * tau] + 3.115e-8 * cos[5.67364420834 + 73.5577582899 * tau] + 3.684e-8 * cos[3.941740603 + 179.3106613844 * tau] + 3.934e-8 * cos[2.86731965547 + 832.0681890707 * tau] + 3.187e-8 * cos[1.62296832026 + 138.4693127609 * tau] + 4.227e-8 * cos[1.41381723926 + 41.7563723602 * tau] + 3.733e-8 * cos[2.55776517455 + 279.4826742962 * tau] + 3.506e-8 * cos[6.26633354904 + 545.2750258176 * tau] + 3.485e-8 * cos[3.26177495276 + 36.7604375141 * tau] + 4.211e-8 * cos[3.21876950029 + 761.7400086283 * tau] + 3.486e-8 * cos[0.22630227172 + 36.5366883449 * tau] + 3.212e-8 * cos[3.18682610058 + 1512.8068240082 * tau] + 4.180e-8 * cos[1.16833674781 + 514.5643537213 * tau] + 3.147e-8 * cos[5.05814757549 + 1521.4048437173 * tau] + 4.016e-8 * cos[2.48751669586 + 531.1754378029 * tau] + 4.124e-8 * cos[1.06751791085 + 388.4651552382 * tau] + 3.525e-8 * cos[2.56091667232 + 78114.14622758799 * tau] + 3.160e-8 * cos[1.06549289762 + 454.1586070019 * tau] + 3.345e-8 * cos[4.15802505352 + 1515.7757694248 * tau] + 3.305e-8 * cos[5.77382040863 + 10.5244354021 * tau] + 3.188e-8 * cos[1.74587038709 + 18.9100067901 * tau] + 3.270e-8 * cos[1.81146731641 + 34.2008823747 * tau] + 3.450e-8 * cos[0.08821515281 + 49.1787359017 * tau] + 3.568e-8 * cos[5.95965909592 + 460.8472573605 * tau] + 3.163e-8 * cos[1.65294183878 + 765.8846102125 * tau] + 3.530e-8 * cos[4.02075420346 + 388.2045228073 * tau] + 3.166e-8 * cos[1.24948126394 + 82.6459050935 * tau] + 3.669e-8 * cos[4.11456655271 + 409.9234163196 * tau] + 3.190e-8 * cos[4.87960158471 + 455.6601260527 * tau] + 3.772e-8 * cos[0.88810300052 + 10142.4361009068 * tau] + 3.638e-8 * cos[2.63250736806 + 455.1699989582 * tau] + 3.718e-8 * cos[3.27473813045 + 454.6487340964 * tau] + 3.215e-8 * cos[0.64628330219 + 887.7273325268 * tau] + 3.671e-8 * cos[1.99667387765 + 511.5317178299 * tau] + 3.518e-8 * cos[0.52105043625 + 262.8078997398 * tau] + 3.639e-8 * cos[4.85097208169 + 138.4056222861 * tau] + 3.828e-8 * cos[4.39751907192 + 586.3133163972 * tau] + 3.814e-8 * cos[2.49565462974 + 6204.362098161 * tau] + 3.512e-8 * cos[6.09122971288 + 70.5888128733 * tau] + 4.145e-8 * cos[5.58064267022 + 57.7980074702 * tau] + 3.249e-8 * cos[0.67719975914 + 74.0478853844 * tau] + 4.578e-8 * cos[4.7498051473 + 731.9443602687 * tau] + 3.320e-8 * cos[1.42938752044 + 454.9575506371 * tau] + 3.323e-8 * cos[4.51516827363 + 454.8611824175 * tau] + 4.378e-8 * cos[0.273460377 + 469.7271613599 * tau] + 4.512e-8 * cos[1.18350543284 + 170.7608257851 * tau] + 3.626e-8 * cos[5.35614681493 + 57.5161231799 * tau] + 3.435e-8 * cos[2.96178782926 + 995.6460318858 * tau] + 3.466e-8 * cos[1.91387688001 + 58.7399634573 * tau] + 4.623e-8 * cos[2.72836206211 + 6244.9428143536 * tau] + 3.818e-8 * cos[4.64162443046 + 71.9245277353 * tau] + 3.802e-8 * cos[4.09287840097 + 268.9582388941 * tau] + 3.422e-8 * cos[3.55674695079 + 256.4280659219 * tau] + 3.299e-8 * cos[5.13631478768 + 477.0007670551 * tau] + 3.803e-8 * cos[1.78948693511 + 251.1714986449 * tau] + 3.398e-8 * cos[1.6208634854 + 941.3113024436 * tau] + 4.279e-8 * cos[2.35436288262 + 562.6680071919 * tau] + 3.564e-8 * cos[1.57868308864 + 354.9979860464 * tau] + 3.501e-8 * cos[5.53309359866 + 594.9113361063 * tau] + 3.596e-8 * cos[5.33968666729 + 394.9455627926 * tau] + 3.493e-8 * cos[0.11837510368 + 1031.87390369 * tau] + 4.553e-8 * cos[1.09016692751 + 561.8861098992 * tau] + 4.098e-8 * cos[1.41920746453 + 559.6990617753 * tau] + 4.215e-8 * cos[0.84469743228 + 176.6505325085 * tau] + 3.997e-8 * cos[5.74857613262 + 6212.2264046872 * tau] + 3.587e-8 * cos[4.10186965494 + 343.2185725996 * tau] + 3.441e-8 * cos[2.56450835637 + 14.8177948326 * tau] + 4.171e-8 * cos[0.76417016678 + 623.4349600787 * tau] + 4.556e-8 * cos[3.41531360529 + 1140.38330388 * tau] + 3.390e-8 * cos[4.00215380112 + 74.9940468884 * tau] + 4.421e-8 * cos[1.51263319894 + 1610.2705239343 * tau] + 3.933e-8 * cos[4.55157642432 + 240.125798381 * tau] + 4.244e-8 * cos[3.75845344717 + 733.428832977 * tau] + 4.021e-8 * cos[5.68447974866 + 3.4902102784 * tau] + 3.444e-8 * cos[1.38488805947 + 117.3198682202 * tau] + 3.597e-8 * cos[1.02560564654 + 515.463871093 * tau] + 4.409e-8 * cos[0.16607520728 + 630.3360587584 * tau] + 4.021e-8 * cos[3.11274455034 + 377.4194549743 * tau] + 4.853e-8 * cos[0.95917381603 + 58.1705144857 * tau] + 3.481e-8 * cos[2.70828672792 + 818.574808252 * tau] + 3.775e-8 * cos[0.83052387256 + 827.9235874865 * tau] + 4.174e-8 * cos[5.82910805335 + 346.4481504471 * tau] + 4.492e-8 * cos[1.87283145714 + 141.1776257466 * tau] + 4.172e-8 * cos[0.75349427039 + 1500.0642027149 * tau] + 4.680e-8 * cos[3.8963125415 + 163.5778428151 * tau] + 4.310e-8 * cos[3.72983787822 + 673.316271396 * tau] + 4.373e-8 * cos[3.76648561161 + 74.1272072615 * tau] + 4.937e-8 * cos[5.49417275871 + 976.7360250957 * tau] + 4.023e-8 * cos[0.59685650686 + 91.2439248026 * tau] + 3.618e-8 * cos[4.84400847177 + 893.3564068193 * tau] + 4.304e-8 * cos[3.03122452327 + 1109.6244476739 * tau] + 4.648e-8 * cos[2.07482117651 + 1106.6555022573 * tau] + 3.700e-8 * cos[2.04103813925 + 63.2146334416 * tau] + 4.414e-8 * cos[0.358306616 + 168.3131452303 * tau] + 4.363e-8 * cos[6.01127167247 + 421.1815649046 * tau] + 4.373e-8 * cos[4.08948598951 + 75.4359898731 * tau] + 4.459e-8 * cos[5.76440378473 + 836.5216071956 * tau] + 4.894e-8 * cos[5.26621064696 + 601.5036182453 * tau] + 4.098e-8 * cos[2.39702785276 + 239.1625905345 * tau] + 3.812e-8 * cos[4.41246815759 + 1511.3223512999 * tau] + 4.098e-8 * cos[3.51214223942 + 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211.8146227297 * tau] + 0.00000436547 * cos[0.52802035072 + 209.3669421749 * tau] + 0.00000463608 * cos[1.43448297993 + 297.6419215609 * tau] + 0.00000449439 * cos[0.27981733949 + 617.8058857862 * tau] + 0.00000556672 * cos[1.07231961344 + 1059.3819301892 * tau] + 0.0000056987 * cos[1.6393093274 + 77.2292791221 * tau] + 0.00000575195 * cos[5.57862480486 + 2.4476805548 * tau] + 0.00000630252 * cos[4.46146214548 + 275.5505210331 * tau] + 0.00000495621 * cos[2.65094755989 + 200.7689224658 * tau] + 0.00000641914 * cos[2.71127457036 + 87.3117715395 * tau] + 0.00000598231 * cos[0.35815291076 + 269.9214467406 * tau] + 0.00000588 * cos[5.08252923316 + 186.2117600641 * tau] + 0.00000705482 * cos[0.45521177725 + 835.0371344873 * tau] + 0.00000710134 * cos[4.48972171999 + 293.188503436 * tau] + 0.00000593819 * cos[3.83805798523 + 32.1951448046 * tau] + 0.00000710276 * cos[4.21967260022 + 381.6122406683 * tau] + 0.00000544539 * cos[5.69375108253 + 203.7378678824 * tau] + 0.00000539825 * cos[6.20788667166 + 71.6002048296 * tau] + 0.00000651632 * cos[4.42340061551 + 18.1592472647 * tau] + 0.00000548672 * cos[5.6281149697 + 3.1813937377 * tau] + 0.00000710449 * cos[5.41605755095 + 218.4069048687 * tau] + 0.00000759004 * cos[2.13700057433 + 692.5874843535 * tau] + 0.00000575656 * cos[5.89552672641 + 66.70484372 * tau] + 0.00000699574 * cos[0.03987168068 + 143.6253063014 * tau] + 0.00000718559 * cos[4.00047509264 + 128.9562693151 * tau] + 0.00000593798 * cos[4.50074517056 + 8.0767548473 * tau] + 0.00000689708 * cos[3.08097059985 + 69.3649725959 * tau] + 0.00001071957 * cos[1.74286714339 + 528.2064923863 * tau] + 0.00000900363 * cos[2.37315925843 + 74.8934731519 * tau] + 0.00000844931 * cos[0.12943398585 + 82.8583534146 * tau] + 0.00001090681 * cos[4.15393813845 + 77.962992305 * tau] + 0.00000906468 * cos[5.62025869483 + 74.6697239827 * tau] + 0.00001249958 * cos[6.24484546141 + 160.6088973985 * tau] + 0.00001228314 * cos[5.9770333104 + 59.8037450403 * tau] + 0.00001477112 * cos[4.32214690647 + 256.5399405065 * tau] + 0.00001408514 * cos[4.41921749601 + 462.0229135281 * tau] + 0.00001438838 * cos[1.53046287618 + 447.7958195265 * tau] + 0.00001481746 * cos[5.66203046912 + 152.5321425512 * tau] + 0.00001506952 * cos[5.24186185583 + 181.7583419392 * tau] + 0.00001197439 * cos[2.52185744943 + 145.6310438715 * tau] + 0.00001248054 * cos[4.88984353601 + 479.2883889155 * tau] + 0.00001563447 * cos[1.47917835549 + 112.9146342051 * tau] + 0.00001248978 * cos[5.44027380866 + 54.1746707478 * tau] + 0.00001655866 * cos[1.96431297431 + 79.2350166922 * tau] + 0.00001403717 * cos[5.63563637532 + 4.4534181249 * tau] + 0.0000140139 * cos[1.39084023521 + 265.9892934775 * tau] + 0.0000163243 * cos[4.23061792837 + 22.0914005278 * tau] + 0.00001848655 * cos[2.91111759376 + 909.8187330546 * tau] + 0.0000158485 * cos[3.16267171762 + 225.8292684102 * tau] + 0.0000164292 * cos[0.35564102554 + 67.6680515665 * tau] + 0.0000182956 * cos[4.01105771632 + 68.8437077341 * tau] + 0.00001962974 * cos[0.0411473912 + 221.3758502853 * tau] + 0.00002182572 * cos[2.94040431638 + 305.3461693927 * tau] + 0.00001979394 * cos[6.12836181686 + 106.9767433719 * tau] + 0.0000236355 * cos[0.44253328372 + 554.0699874828 * tau] + 0.0000196251 * cos[5.24342224065 + 84.3428261229 * tau] + 0.00002538032 * cos[4.85457831993 + 131.4039498699 * tau] + 0.00002865128 * cos[0.30996903761 + 12.5301729722 * tau] + 0.00002937799 * cos[3.6765745093 + 140.001969579 * tau] + 0.00002962641 * cos[0.82977991995 + 56.6223513026 * tau] + 0.00003101743 * cos[4.14031063896 + 219.891377577 * tau] + 0.00003686787 * cos[2.48718116535 + 453.424893819 * tau] + 0.00002942239 * cos[0.42393808854 + 299.1263942692 * tau] + 0.00003781219 * cos[3.45840272873 + 456.3938392356 * tau] + 0.00002940492 * cos[2.14637460319 + 137.0330241624 * tau] + 0.00003919476 * cos[4.25015288873 + 39.6175083461 * tau] + 0.00003801606 * cos[6.10985558505 + 184.7272873558 * tau] + 0.00004079167 * cos[3.22064788674 + 340.7708920448 * tau] + 0.00005238103 * cos[2.62960141797 + 33.6796175129 * tau] + 0.00005444878 * cos[5.10575635361 + 145.1097790097 * tau] + 0.00007329454 * cos[3.9727752784 + 183.2428146475 * tau] + 0.00005524133 * cos[3.11499484161 + 9.5612275556 * tau] + 0.0000604637 * cos[5.67960948357 + 78.7137518304 * tau] + 0.00008402147 * cos[5.03877516489 + 415.5524906121 * tau] + 0.00007449125 * cos[0.79491905956 + 351.8165923087 * tau] + 0.0000842055 * cos[5.25350716616 + 222.8603229936 * tau] + 0.00009111446 * cos[4.99638600045 + 62.2514255951 * tau] + 0.00011852996 * cos[0.99342814582 + 52.6901980395 * tau] + 0.00012896507 * cos[2.62154018241 + 111.4301614968 * tau] + 0.00011959355 * cos[1.75044072173 + 984.6003316219 * tau] + 0.00011696085 * cos[3.29825599114 + 3.9321532631 * tau] + 0.00010792699 * cos[1.42104858472 + 213.299095438 * tau] + 0.00015502809 * cos[5.35405037603 + 38.1330356378 * tau] + 0.00011494701 * cos[0.43774027872 + 65.2203710117 * tau] + 0.00014701566 * cos[4.90434406648 + 108.4612160802 * tau] + 0.00012328151 * cos[5.96039150918 + 127.4717966068 * tau] + 0.00017900561 * cos[0.55455488605 + 2.9689454166 * tau] + 0.00020473163 * cos[2.79639811626 + 70.3281804424 * tau] + 0.00022637152 * cos[0.72519137745 + 529.6909650946 * tau] + 0.00025785805 * cos[3.78537741503 + 85.8272988312 * tau] + 0.0002562036 * cos[5.25656292802 + 380.12776796 * tau] + 0.00020471584 * cos[1.555889615 + 202.2533951741 * tau] + 0.00029156264 * cos[3.18056174556 + 77.7505439839 * tau] + 0.00030348875 * cos[0.70100446346 + 151.0476698429 * tau] + 0.0003675516 * cos[3.88648934736 + 146.594251718 * tau] + 0.00039025681 * cos[3.36234710692 + 277.0349937414 * tau] + 0.00046677322 * cos[1.39976563936 + 35.1640902212 * tau] + 0.00039009624 * cos[1.66971128869 + 70.8494453042 * tau] + 0.00089805842 * cos[3.66105366329 + 109.9456887885 * tau] + 0.00071424265 * cos[4.24509327405 + 224.3447957019 * tau] + 0.00093192359 * cos[0.17437193645 + 36.6485629295 * tau] + 0.00143705902 * cos[1.38368574483 + 11.0457002639 * tau] + 0.00161858251 * cos[2.79137863469 + 148.0787244263 * tau] + 0.00190521915 * cos[1.99809364502 + 1.4844727083 * tau] + 0.00243508222 * cos[1.57086595074 + 71.8126531507 * tau] + 0.00338525522 * cos[1.58002682946 + 138.5174968707 * tau] + 0.00496404171 * cos[1.40139934716 + 454.9093665273 * tau] + 0.00602248144 * cos[3.86003820462 + 63.7358983034 * tau] + 0.00649321851 * cos[4.52247298119 + 76.2660712756 * tau] + 0.02055653495 * cos[1.78295170028 + 149.5631971346 * tau] + 0.03440835545 * cos[0.32836098991 + 73.297125859 * tau] + 0.88784984055 * cos[5.60377526994 + 74.7815985673 * tau] + 19.21264847881 * cos[0.0 + 0.0 * tau]; R1 = 2.228e-8 * cos[1.4245214891 + 6219.339951688 * tau] + 2.185e-8 * cos[6.0799711998 + 63.6240237188 * tau] + 2.355e-8 * cos[0.48259604722 + 74.9416572617 * tau] + 2.492e-8 * cos[1.19872353228 + 383.0967133766 * tau] + 2.994e-8 * cos[2.83179016989 + 184.9879197867 * tau] + 2.211e-8 * cos[5.18239546182 + 59.2824801785 * tau] + 2.255e-8 * cos[3.3657444395 + 286.596221297 * tau] + 2.360e-8 * cos[4.12736987374 + 74.6215398729 * tau] + 2.272e-8 * cos[2.77069357315 + 515.463871093 * tau] + 2.629e-8 * cos[4.00618677646 + 26.0235537909 * tau] + 2.465e-8 * cos[0.26629856014 + 72.4939767069 * tau] + 3.008e-8 * cos[0.91409756228 + 2118.7638603784 * tau] + 3.008e-8 * cos[5.6595546366 + 1969.2006632438 * tau] + 2.747e-8 * cos[5.59085990261 + 388.7257876691 * tau] + 3.230e-8 * cos[0.01981320255 + 881.5075574033 * tau] + 2.395e-8 * cos[2.76580569447 + 768.8535556291 * tau] + 3.237e-8 * cos[3.19110274211 + 1887.3055176757 * tau] + 2.465e-8 * cos[1.3064877338 + 77.0692204277 * tau] + 2.669e-8 * cos[0.7334022821 + 73.0846775379 * tau] + 2.632e-8 * cos[0.635571102 + 227.5261894396 * tau] + 2.434e-8 * cos[4.9478467943 + 969.6224780949 * tau] + 3.005e-8 * cos[0.76247280223 + 75.6753704446 * tau] + 2.800e-8 * cos[2.60339313269 + 74.5209661364 * tau] + 3.296e-8 * cos[3.84350963765 + 511.5317178299 * tau] + 2.402e-8 * cos[4.38353347008 + 1303.2798231389 * tau] + 2.774e-8 * cos[6.26134027482 + 1022.3126761344 * tau] + 3.234e-8 * cos[2.45751141361 + 98.3574718034 * tau] + 3.110e-8 * cos[6.14956891318 + 118.8737768977 * tau] + 3.005e-8 * cos[0.81031349171 + 73.88782669 * tau] + 2.510e-8 * cos[3.35948960782 + 464.9918589447 * tau] + 2.604e-8 * cos[3.87350462519 + 74.0308390419 * tau] + 2.553e-8 * cos[1.25909246207 + 670.4960838257 * tau] + 2.430e-8 * cos[1.56119387576 + 136.0698163159 * tau] + 2.793e-8 * cos[2.00644423849 + 75.0422309982 * tau] + 2.663e-8 * cos[4.23321349902 + 421.1815649046 * tau] + 2.531e-8 * cos[3.50486296784 + 293.188503436 * tau] + 2.565e-8 * cos[1.64023845161 + 73.4090004436 * tau] + 2.504e-8 * cos[3.523948017 + 1183.6723330583 * tau] + 2.810e-8 * cos[6.06709915335 + 374.4986936675 * tau] + 3.322e-8 * cos[3.50108539407 + 82.6459050935 * tau] + 2.539e-8 * cos[0.46036497385 + 74.8297826771 * tau] + 2.744e-8 * cos[1.54445470732 + 28.5718080822 * tau] + 2.688e-8 * cos[2.16500211397 + 262.8078997398 * tau] + 2.797e-8 * cos[2.82242772664 + 2036.8687148103 * tau] + 2.539e-8 * cos[4.14968938109 + 74.7334144575 * tau] + 2.589e-8 * cos[1.83177157032 + 657.1627617014 * tau] + 2.857e-8 * cos[5.90256930211 + 525.2375469697 * tau] + 3.115e-8 * cos[5.10929689813 + 459.0539681115 * tau] + 3.582e-8 * cos[1.27992264402 + 987.5692770385 * tau] + 2.615e-8 * cos[2.25516923974 + 74.9940468884 * tau] + 2.897e-8 * cos[0.3737809018 + 582.3811631341 * tau] + 3.285e-8 * cos[1.9597262267 + 372.4235201282 * tau] + 2.581e-8 * cos[6.27329466695 + 908.3342603463 * tau] + 2.607e-8 * cos[4.72531286187 + 122.4758617607 * tau] + 2.785e-8 * cos[5.19343849039 + 144.8973306886 * tau] + 3.100e-8 * cos[5.4792852793 + 701.1855040626 * tau] + 3.289e-8 * cos[4.26401031509 + 544.5087599272 * tau] + 3.222e-8 * cos[4.76521772319 + 294.6729761443 * tau] + 2.653e-8 * cos[5.10283251074 + 118.0224436358 * tau] + 3.414e-8 * cos[4.93712749827 + 1140.38330388 * tau] + 2.730e-8 * cos[4.12217979791 + 600.5404103988 * tau] + 3.200e-8 * cos[1.88004939357 + 331.2096644892 * tau] + 2.660e-8 * cos[4.78670985324 + 362.8622925726 * tau] + 2.683e-8 * cos[3.88682711832 + 133.1008708993 * tau] + 3.107e-8 * cos[2.44919355737 + 4.665866446 * tau] + 3.128e-8 * cos[5.23384180625 + 424.1505103212 * tau] + 2.707e-8 * cos[3.60084311477 + 621.7380390493 * tau] + 2.863e-8 * cos[0.41519700992 + 894.8408795276 * tau] + 3.102e-8 * cos[0.4168444478 + 521.0929453855 * tau] + 3.379e-8 * cos[5.47448876584 + 1396.2206689709 * tau] + 3.041e-8 * cos[5.75641149588 + 409.9234163196 * tau] + 3.146e-8 * cos[5.19208910201 + 417.0369633204 * tau] + 2.733e-8 * cos[0.42373696972 + 354.9979860464 * tau] + 3.432e-8 * cos[2.8048316223 + 764.1876891831 * tau] + 2.839e-8 * cos[4.22662576295 + 990.2294059144 * tau] + 3.523e-8 * cos[5.12512607932 + 105.380396079 * tau] + 3.493e-8 * cos[0.98765698465 + 9988.9407505091 * tau] + 3.763e-8 * cos[3.28247771799 + 432.8179659995 * tau] + 3.725e-8 * cos[1.68366366742 + 683.9894646444 * tau] + 3.489e-8 * cos[1.86982946081 + 371.5297482509 * tau] + 2.801e-8 * cos[3.99301180541 + 10063.7223490764 * tau] + 3.114e-8 * cos[1.79734939525 + 414.0680179038 * tau] + 2.824e-8 * cos[0.87232289414 + 30.7106720963 * tau] + 2.831e-8 * cos[4.78996738581 + 820.0592809603 * tau] + 2.836e-8 * cos[0.62522723719 + 749.2098356561 * tau] + 3.110e-8 * cos[1.11431255827 + 1044.4040766622 * tau] + 3.926e-8 * cos[1.41612569694 + 346.1875180162 * tau] + 3.020e-8 * cos[2.64998251178 + 20.4468691251 * tau] + 4.077e-8 * cos[0.07273073033 + 1190.0351205337 * tau] + 3.142e-8 * cos[2.26934209337 + 517.1607921224 * tau] + 3.390e-8 * cos[1.18412112871 + 167.7224443993 * tau] + 3.725e-8 * cos[5.84743216544 + 6058.7310542895 * tau] + 4.049e-8 * cos[3.15153850922 + 833.552661779 * tau] + 2.953e-8 * cos[2.18721777019 + 597.3590166611 * tau] + 3.347e-8 * cos[4.14981703949 + 214.7835681463 * tau] + 3.377e-8 * cos[1.21382647091 + 162.8965192589 * tau] + 2.977e-8 * cos[0.6947862817 + 294.3004691288 * tau] + 3.610e-8 * cos[6.15486273902 + 171.6545976624 * tau] + 3.146e-8 * cos[2.18094827839 + 216.9224321604 * tau] + 2.996e-8 * cos[2.5915529362 + 6133.5126528568 * tau] + 3.528e-8 * cos[4.79818282081 + 406.954470903 * tau] + 3.024e-8 * cos[3.54567524563 + 94.4253185403 * tau] + 3.522e-8 * cos[2.5178203618 + 237.6781178262 * tau] + 3.582e-8 * cos[1.60170266832 + 1587.5884225755 * tau] + 3.269e-8 * cos[0.52855777633 + 450.4559484024 * tau] + 3.282e-8 * cos[1.91872815218 + 2349.3284312038 * tau] + 3.930e-8 * cos[2.09444900058 + 653.9813679637 * tau] + 3.538e-8 * cos[1.89746744103 + 280.9671470045 * tau] + 3.166e-8 * cos[2.16351748263 + 983.1158589136 * tau] + 3.780e-8 * cos[5.35722293289 + 328.2407190726 * tau] + 3.350e-8 * cos[5.63661413371 + 444.8268741099 * tau] + 3.846e-8 * cos[3.76849990033 + 8.5980197091 * tau] + 3.961e-8 * cos[4.53281422377 + 916.9322800554 * tau] + 4.196e-8 * cos[4.26442082589 + 381.6122406683 * tau] + 3.403e-8 * cos[6.0379258317 + 199.2844497575 * tau] + 3.311e-8 * cos[1.25616383318 + 233.9060232575 * tau] + 3.182e-8 * cos[0.3660331511 + 449.4927405559 * tau] + 3.613e-8 * cos[1.94737668557 + 661.0949149645 * tau] + 3.242e-8 * cos[2.62760698007 + 6.592282139 * tau] + 3.435e-8 * cos[0.52794358986 + 141.4864422873 * tau] + 3.266e-8 * cos[3.57072306171 + 17.2654753874 * tau] + 3.242e-8 * cos[4.68868636498 + 978.9712573294 * tau] + 3.677e-8 * cos[5.31389484415 + 141.6988906084 * tau] + 3.253e-8 * cos[5.22412177835 + 425.1137181677 * tau] + 3.337e-8 * cos[6.23473900765 + 9947.0556815321 * tau] + 3.295e-8 * cos[2.97049569593 + 15.1903018481 * tau] + 3.545e-8 * cos[4.41886084391 + 1293.8786542777 * tau] + 4.128e-8 * cos[3.06165703109 + 377.1588225434 * tau] + 3.321e-8 * cos[4.19289134366 + 114.1384744825 * tau] + 3.328e-8 * cos[2.93840719007 + 535.9107402181 * tau] + 3.644e-8 * cos[5.82023483708 + 586.3133163972 * tau] + 3.527e-8 * cos[0.2037157647 + 394.3548619616 * tau] + 4.723e-8 * cos[4.16947683948 + 219.891377577 * tau] + 3.867e-8 * cos[2.08559458308 + 457.3570470821 * tau] + 4.312e-8 * cos[0.38740046308 + 988.532484885 * tau] + 4.707e-8 * cos[4.56309173897 + 47.061123747 * tau] + 3.807e-8 * cos[4.21821126511 + 196.6243208816 * tau] + 3.599e-8 * cos[2.07986409347 + 47.6942631934 * tau] + 3.687e-8 * cos[5.18698183343 + 993.198351331 * tau] + 3.702e-8 * cos[3.86923731076 + 981.6313862053 * tau] + 3.628e-8 * cos[2.11511417759 + 73.1852512744 * tau] + 3.475e-8 * cos[4.44351326599 + 384.0599212231 * tau] + 3.487e-8 * cos[2.12239114397 + 316.3918696566 * tau] + 3.597e-8 * cos[3.65066955203 + 976.0023119128 * tau] + 3.962e-8 * cos[5.33706246667 + 43.2890291783 * tau] + 3.524e-8 * cos[3.75716903766 + 473.068613792 * tau] + 3.505e-8 * cos[3.5390238439 + 520.129737539 * tau] + 4.496e-8 * cos[2.10358455875 + 838.218528225 * tau] + 3.567e-8 * cos[4.08542270507 + 433.7117378768 * tau] + 3.575e-8 * cos[4.31199276037 + 572.2292347475 * tau] + 3.685e-8 * cos[3.26448469664 + 170.7608257851 * tau] + 4.232e-8 * cos[4.31629167726 + 446.3113468182 * tau] + 3.747e-8 * cos[3.04126115463 + 142.1408335931 * tau] + 4.371e-8 * cos[3.74322467592 + 376.1956146969 * tau] + 4.932e-8 * cos[0.36238909407 + 123.5396433437 * tau] + 3.776e-8 * cos[2.89171052095 + 27.0873353739 * tau] + 3.843e-8 * cos[4.02615028031 + 104.0077979553 * tau] + 4.732e-8 * cos[0.87519409311 + 255.0554677982 * tau] + 3.812e-8 * cos[2.48508006441 + 25.2727942655 * tau] + 4.138e-8 * cos[3.80344455465 + 460.5384408198 * tau] + 4.456e-8 * cos[1.74674336635 + 95.9792272178 * tau] + 5.337e-8 * cos[2.36556705745 + 477.8039162072 * tau] + 5.086e-8 * cos[2.8523551874 + 28.3111756513 * tau] + 4.617e-8 * cos[5.89829880253 + 303.8616966844 * tau] + 3.854e-8 * cos[6.13547145503 + 34.2008823747 * tau] + 4.057e-8 * cos[1.67333716577 + 7.4223635415 * tau] + 4.217e-8 * cos[0.73383451512 + 497.4476361802 * tau] + 3.943e-8 * cos[3.31312639875 + 107.4980082337 * tau] + 4.604e-8 * cos[4.77631056831 + 463.5073862364 * tau] + 4.871e-8 * cos[4.61331971606 + 258.0244132148 * 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3.8953e-7 * cos[5.49236040328 + 200.7689224658 * tau] + 3.3788e-7 * cos[3.68407945156 + 66.9172920411 * tau] + 3.3234e-7 * cos[1.38358507432 + 74.6697239827 * tau] + 3.8535e-7 * cos[4.95064283065 + 92.940845832 * tau] + 3.8855e-7 * cos[0.74239364306 + 347.8844390456 * tau] + 4.2597e-7 * cos[1.260887373 + 1514.2912967165 * tau] + 3.8385e-7 * cos[2.0600322013 + 333.657345044 * tau] + 3.8325e-7 * cos[3.61946898382 + 173.9422195228 * tau] + 4.1948e-7 * cos[2.51050760642 + 24.3790223882 * tau] + 3.9983e-7 * cos[5.09525356576 + 35.4247226521 * tau] + 4.1472e-7 * cos[2.33730376429 + 277.0349937414 * tau] + 4.8628e-7 * cos[3.62817742782 + 81.0013736908 * tau] + 4.1987e-7 * cos[0.04620500196 + 128.9562693151 * tau] + 4.9493e-7 * cos[5.84619560979 + 112.9146342051 * tau] + 4.3772e-7 * cos[3.03713403879 + 20.6069278195 * tau] + 4.8023e-7 * cos[1.97249712347 + 288.0806940053 * tau] + 4.6361e-7 * cos[5.35115472594 + 152.7445908723 * tau] + 4.9109e-7 * cos[0.94061875871 + 99.1606209555 * tau] + 5.6964e-7 * cos[0.84114552694 + 146.594251718 * tau] + 5.1821e-7 * cos[1.75832999538 + 8.0767548473 * tau] + 5.1303e-7 * cos[0.36772379136 + 206.1855484372 * tau] + 4.9491e-7 * cos[4.25534603275 + 5.4166259714 * tau] + 5.4968e-7 * cos[1.60146090981 + 14.977853527 * tau] + 5.0934e-7 * cos[0.526385342 + 490.3340891794 * tau] + 5.2909e-7 * cos[4.44819701196 + 426.598190876 * tau] + 5.8123e-7 * cos[5.33480562448 + 220.4126424388 * tau] + 5.2835e-7 * cos[5.20100035142 + 358.9301393095 * tau] + 5.2597e-7 * cos[3.5049223397 + 125.9873238985 * tau] + 5.9073e-7 * cos[1.55568469603 + 456.3938392356 * tau] + 5.2474e-7 * cos[6.08562717749 + 404.5067903482 * tau] + 5.4427e-7 * cos[3.72545550857 + 7.1135470008 * tau] + 6.2301e-7 * cos[3.23773103318 + 422.6660376129 * tau] + 6.3361e-7 * cos[4.19159979468 + 184.7272873558 * tau] + 6.2000e-7 * cos[4.39369268007 + 453.424893819 * tau] + 5.9913e-7 * cos[0.60110866128 + 74.8934731519 * tau] + 6.4973e-7 * cos[1.55845503407 + 106.9767433719 * tau] + 6.1594e-7 * cos[3.90006698249 + 4.4534181249 * tau] + 7.1619e-7 * cos[3.71213491656 + 408.4389436113 * tau] + 6.3556e-7 * cos[1.93742986679 + 41.6444977756 * tau] + 8.4566e-7 * cos[5.56037336584 + 344.7030453079 * tau] + 7.1585e-7 * cos[3.93906647867 + 153.4953503977 * tau] + 7.0733e-7 * cos[2.38450718488 + 60.7669528868 * tau] + 7.2142e-7 * cos[4.30505812564 + 565.1156877467 * tau] + 0.00000100209 * cos[4.94084867643 + 120.358249606 * tau] + 8.4612e-7 * cos[0.6166245601 + 116.4260963429 * tau] + 7.7592e-7 * cos[1.63628139623 + 479.2883889155 * tau] + 7.5795e-7 * cos[3.78559826812 + 75.7448064138 * tau] + 8.6249e-7 * cos[0.53131085736 + 145.1097790097 * tau] + 7.6207e-7 * cos[4.20384370842 + 73.8183907208 * tau] + 7.7395e-7 * cos[0.08281157747 + 45.5766510387 * tau] + 8.4583e-7 * cos[5.72473747348 + 68.8437077341 * tau] + 9.7398e-7 * cos[3.81380841075 + 152.5321425512 * tau] + 9.3452e-7 * cos[3.09274255916 + 77.2292791221 * tau] + 0.00000106679 * cos[1.22996874093 + 225.8292684102 * tau] + 0.00000103739 * cos[2.57553519741 + 191.2076949102 * tau] + 9.3825e-7 * cos[5.01823592717 + 51.2057253312 * tau] + 0.00000104772 * cos[4.43616414428 + 305.3461693927 * tau] + 9.5326e-7 * cos[4.02880266738 + 82.8583534146 * tau] + 0.00000106419 * cos[0.69799543514 + 2.4476805548 * tau] + 0.00000105741 * cos[0.17067407327 + 79.2350166922 * tau] + 0.00000103862 * cos[1.81622936156 + 72.3339180125 * tau] + 0.00000104218 * cos[2.92152185788 + 134.5853436076 * tau] + 0.00000127913 * cos[2.40333045173 + 39.6175083461 * tau] + 0.00000117171 * cos[0.39649791652 + 87.3117715395 * tau] + 0.00000137012 * cos[0.40323866041 + 195.1398481733 * tau] + 0.00000150563 * cos[1.98966326297 + 54.1746707478 * tau] + 0.00000162563 * cos[4.3405435361 + 33.6796175129 * tau] + 0.00000153102 * cos[5.21761881347 + 209.3669421749 * tau] + 0.00000196179 * cos[4.77152996605 + 299.1263942692 * tau] + 0.00000205946 * cos[1.53379817229 + 284.1485407422 * tau] + 0.00000211691 * cos[0.68027381802 + 111.4301614968 * tau] + 0.00000188515 * cos[4.41307507326 + 265.9892934775 * tau] + 0.00000234153 * cos[0.27825220612 + 108.4612160802 * tau] + 0.00000200648 * cos[1.24861003313 + 69.3649725959 * tau] + 0.00000272355 * cos[3.38363105223 + 222.8603229936 * tau] + 0.0000023829 * cos[2.04879982674 + 269.9214467406 * tau] + 0.00000254591 * cos[3.50411592815 + 38.1330356378 * tau] + 0.0000022171 * cos[3.64727173951 + 137.0330241624 * tau] + 0.00000224731 * cos[3.90961468562 + 160.6088973985 * tau] + 0.00000259465 * cos[3.92053708924 + 59.8037450403 * tau] + 0.00000255585 * cos[2.95695013627 + 84.3428261229 * tau] + 0.00000268913 * cos[6.24069521597 + 340.7708920448 * tau] + 0.00000405881 * cos[1.229617276 + 22.0914005278 * tau] + 0.00000348345 * cos[1.74874852104 + 71.6002048296 * tau] + 0.00000372947 * cos[5.05141251694 + 529.6909650946 * tau] + 0.000003388 * cos[2.53820897704 + 18.1592472647 * tau] + 0.00000444352 * cos[2.15558291251 + 67.6680515665 * tau] + 0.00000380908 * cos[3.85089591694 + 3.1813937377 * tau] + 0.00000487336 * cos[0.70614146398 + 380.12776796 * tau] + 0.0000049428 * cos[0.46291078127 + 145.6310438715 * tau] + 0.0000046008 * cos[4.22302465979 + 12.5301729722 * tau] + 0.00000530364 * cos[5.91655309045 + 213.299095438 * tau] + 0.00000561839 * cos[2.7177815898 + 462.0229135281 * tau] + 0.00000527794 * cos[5.15136007084 + 2.9689454166 * tau] + 0.00000623602 * cos[0.8625307382 + 9.5612275556 * tau] + 0.0000068747 * cos[2.49912565674 + 77.962992305 * tau] + 0.0000057471 * cos[3.23070708457 + 447.7958195265 * tau] + 0.00000646851 * cos[4.4729042291 + 70.3281804424 * tau] + 0.00000604362 * cos[0.90717667985 + 984.6003316219 * tau] + 0.00000744445 * cos[3.07640148939 + 35.1640902212 * tau] + 0.00000861867 * cos[5.05530802218 + 351.8165923087 * tau] + 0.00001032731 * cos[0.26459059027 + 131.4039498699 * tau] + 0.00000992085 * cos[2.17168865909 + 65.2203710117 * tau] + 0.00001508028 * cos[5.05996325425 + 151.0476698429 * tau] + 0.0000122822 * cos[1.04703640149 + 62.2514255951 * tau] + 0.00001403237 * cos[1.36985349744 + 77.7505439839 * tau] + 0.00001489525 * cos[2.67559167316 + 56.6223513026 * tau] + 0.00001413112 * cos[4.57461892062 + 202.2533951741 * tau] + 0.00001583766 * cos[1.43045619196 + 78.7137518304 * tau] + 0.00001644719 * cos[2.65349313124 + 127.4717966068 * tau] + 0.00002429445 * cos[3.99440122468 + 52.6901980395 * tau] + 0.00002564251 * cos[0.98076846352 + 148.0787244263 * tau] + 0.00003578446 * cos[2.31160668309 + 224.3447957019 * tau] + 0.0000306001 * cos[0.15321893225 + 1.4844727083 * tau] + 0.00003926694 * cos[3.15513991323 + 71.8126531507 * tau] + 0.00003228835 * cos[5.25499602896 + 3.9321532631 * tau] + 0.00003505936 * cos[2.58354048851 + 138.5174968707 * tau] + 0.000042438 * cos[1.41692350371 + 85.8272988312 * tau] + 0.00007496775 * cos[0.42360033283 + 73.297125859 * tau] + 0.00011405346 * cos[0.01848461561 + 70.8494453042 * tau] + 0.00024059649 * cos[3.14159265359 + 0.0 * tau] + 0.00021468152 * cos[2.6017670427 + 76.2660712756 * tau] + 0.00020857262 * cos[5.24625494219 + 11.0457002639 * tau] + 0.00068626972 * cos[6.13411265052 + 149.5631971346 * tau] + 0.00071212085 * cos[6.22601006675 + 63.7358983034 * tau] + 0.0147989637 * cos[3.67205705317 + 74.7815985673 * tau]; R2 = 3.053e-8 * cos[5.35047433775 + 681.5417840896 * tau] + 2.236e-8 * cos[6.10115874045 + 140.001969579 * tau] + 2.568e-8 * cos[1.09886876369 + 913.0001267923 * tau] + 2.334e-8 * cos[5.18878243102 + 1059.3819301892 * tau] + 2.446e-8 * cos[5.7384638154 + 535.9107402181 * tau] + 2.407e-8 * cos[3.07343136742 + 391.1734682239 * tau] + 2.606e-8 * cos[4.36605237304 + 1080.5795588397 * tau] + 2.736e-8 * cos[1.87107584495 + 529.6909650946 * tau] + 2.613e-8 * cos[5.68333838067 + 24.3790223882 * tau] + 3.369e-8 * cos[3.17071565345 + 108.4612160802 * tau] + 2.646e-8 * cos[3.81808560938 + 550.8885937451 * tau] + 2.689e-8 * cos[4.16436463826 + 235.3904959658 * tau] + 2.677e-8 * cos[0.76342313946 + 486.4019359163 * tau] + 2.571e-8 * cos[5.92862393284 + 89.7594520943 * tau] + 3.450e-8 * cos[2.12911756067 + 685.4739373527 * tau] + 2.756e-8 * cos[4.6267249884 + 1357.6145525811 * tau] + 2.753e-8 * cos[0.39468041761 + 33.6796175129 * tau] + 2.925e-8 * cos[1.43646759644 + 381.6122406683 * tau] + 3.365e-8 * cos[3.67691210011 + 661.0949149645 * tau] + 2.857e-8 * cos[3.08706426922 + 216.4804891757 * tau] + 2.730e-8 * cos[1.98552777251 + 82.8583534146 * tau] + 2.763e-8 * cos[4.27510031656 + 350.3321196004 * tau] + 2.857e-8 * cos[4.71106805785 + 218.9281697305 * tau] + 2.728e-8 * cos[5.29491477549 + 125.9873238985 * tau] + 2.831e-8 * cos[2.52728803131 + 867.2804634017 * tau] + 2.965e-8 * cos[0.3929499553 + 25.2727942655 * tau] + 2.883e-8 * cos[2.44983947531 + 135.336103133 * tau] + 3.082e-8 * cos[4.20145474081 + 146.594251718 * tau] + 2.881e-8 * cos[0.50481204892 + 305.3461693927 * tau] + 3.257e-8 * cos[2.49339546514 + 451.7279727896 * tau] + 3.138e-8 * cos[0.52367930477 + 1094.8066528413 * tau] + 3.467e-8 * cos[2.17484439267 + 554.0699874828 * tau] + 3.015e-8 * cos[6.02967446446 + 291.262087743 * tau] + 3.284e-8 * cos[5.59170577331 + 472.1748419147 * tau] + 3.531e-8 * cos[4.49372794858 + 881.5075574033 * tau] + 3.472e-8 * cos[4.93521260607 + 411.620337349 * tau] + 3.110e-8 * cos[3.63187411723 + 16.6747745564 * tau] + 3.055e-8 * cos[1.70878161343 + 639.897286314 * tau] + 3.062e-8 * cos[1.27089879603 + 200.7689224658 * tau] + 3.051e-8 * cos[4.54953369151 + 980.6681783588 * tau] + 3.055e-8 * cos[2.60120354415 + 433.7117378768 * tau] + 3.266e-8 * cos[2.24754480216 + 73.8183907208 * tau] + 3.783e-8 * cos[5.29835962126 + 369.0820676961 * tau] + 3.184e-8 * cos[0.07709843451 + 1514.2912967165 * tau] + 3.201e-8 * cos[2.76459652868 + 248.7238180901 * tau] + 3.274e-8 * cos[3.86236880159 + 42.5382696529 * tau] + 3.336e-8 * cos[0.89628904042 + 469.1364605289 * tau] + 4.352e-8 * cos[2.09804374929 + 404.5067903482 * tau] + 3.432e-8 * cos[2.55614913808 + 258.8757464767 * tau] + 3.513e-8 * cos[4.49630054276 + 376.1956146969 * tau] + 3.648e-8 * cos[5.59395544992 + 774.4826299216 * tau] + 4.524e-8 * cos[2.86819565712 + 129.9194771616 * tau] + 3.469e-8 * cos[0.79054323335 + 983.1158589136 * tau] + 3.576e-8 * cos[3.24526237368 + 230.5645708254 * tau] + 3.567e-8 * cos[4.71986443303 + 6.9010986797 * tau] + 4.385e-8 * cos[0.620576801 + 827.1728279611 * tau] + 3.861e-8 * cos[1.343943837 + 535.3200393871 * tau] + 4.039e-8 * cos[0.60924359087 + 152.0108776894 * tau] + 3.710e-8 * cos[5.15385470848 + 490.3340891794 * tau] + 3.939e-8 * cos[5.27301148162 + 521.0929453855 * tau] + 3.737e-8 * cos[5.28319518103 + 353.301065017 * tau] + 4.553e-8 * cos[0.01384318412 + 298.2326223919 * tau] + 5.316e-8 * cos[4.07970979457 + 111.4301614968 * tau] + 3.870e-8 * cos[4.43713601497 + 141.6988906084 * tau] + 3.861e-8 * cos[3.19886211335 + 159.1244246902 * tau] + 3.842e-8 * cos[2.60024827897 + 426.598190876 * tau] + 5.017e-8 * cos[2.99521887648 + 29.2049475286 * tau] + 3.984e-8 * cos[5.7717840641 + 288.0806940053 * tau] + 4.045e-8 * cos[6.07362424798 + 19.643719973 * tau] + 5.125e-8 * cos[1.40553011416 + 144.1465711632 * tau] + 4.194e-8 * cos[1.6498626717 + 128.9562693151 * tau] + 4.190e-8 * cos[4.37674804409 + 79.2350166922 * tau] + 4.255e-8 * cos[3.55373860346 + 479.2883889155 * tau] + 5.743e-8 * cos[0.66226484448 + 38.1330356378 * tau] + 5.842e-8 * cos[0.92039543147 + 20.6069278195 * tau] + 5.722e-8 * cos[0.89523844278 + 81.8951455681 * tau] + 4.457e-8 * cos[0.45775730382 + 33.1371007917 * tau] + 4.454e-8 * cos[2.30288945184 + 312.4597163935 * tau] + 5.005e-8 * cos[0.3663056595 + 60.7669528868 * tau] + 5.302e-8 * cos[1.83522660093 + 124.2904028691 * tau] + 4.602e-8 * cos[1.69262282455 + 152.5321425512 * tau] + 5.183e-8 * cos[3.25775152471 + 561.1835344836 * tau] + 4.967e-8 * cos[4.79184817938 + 387.2413149608 * tau] + 5.007e-8 * cos[4.25821412289 + 522.5774180938 * tau] + 5.790e-8 * cos[3.39593613152 + 458.090760265 * tau] + 5.310e-8 * cos[6.14059082194 + 39.6175083461 * tau] + 5.174e-8 * cos[4.13873402677 + 132.8884225782 * tau] + 5.340e-8 * cos[3.730731164 + 23.5758732361 * tau] + 5.924e-8 * cos[5.48443563529 + 76.4785195967 * tau] + 5.766e-8 * cos[0.34229025692 + 536.8045120954 * tau] + 5.428e-8 * cos[0.85181859845 + 546.956440482 * tau] + 5.162e-8 * cos[4.36457872885 + 977.4867846211 * tau] + 5.272e-8 * cos[5.06746739956 + 440.6822725257 * tau] + 5.710e-8 * cos[2.23566160404 + 80.1982245387 * tau] + 5.966e-8 * cos[2.48916255408 + 373.0142209592 * tau] + 5.608e-8 * cos[0.66268449799 + 58.1068240109 * tau] + 5.816e-8 * cos[4.63029217647 + 49.5088043018 * tau] + 5.799e-8 * cos[0.82465326137 + 142.4496501338 * tau] + 6.131e-8 * cos[0.05596259493 + 99.1606209555 * tau] + 9.012e-8 * cos[6.0534362253 + 146.3818033969 * tau] + 6.479e-8 * cos[2.99461362786 + 380.12776796 * tau] + 8.065e-8 * cos[2.25930653257 + 206.1855484372 * tau] + 6.596e-8 * cos[1.18068235818 + 96.8729990951 * tau] + 7.106e-8 * cos[1.5059848847 + 991.7138786227 * tau] + 9.647e-8 * cos[0.38872626737 + 415.5524906121 * tau] + 9.874e-8 * cos[5.9652614366 + 35.1640902212 * tau] + 8.472e-8 * cos[3.91387041805 + 333.657345044 * tau] + 8.763e-8 * cos[5.8151944012 + 153.4953503977 * tau] + 8.335e-8 * cos[4.48600419464 + 70.1157321213 * tau] + 7.830e-8 * cos[0.90313686798 + 222.8603229936 * tau] + 8.064e-8 * cos[5.71681525179 + 55.1378785943 * tau] + 8.276e-8 * cos[2.27408171672 + 299.1263942692 * tau] + 8.319e-8 * cos[3.71723808749 + 14.977853527 * tau] + 8.508e-8 * cos[5.24741470216 + 347.8844390456 * tau] + 8.844e-8 * cos[6.00894470528 + 5.4166259714 * tau] + 1.0284e-7 * cos[1.1860258206 + 344.7030453079 * tau] + 8.986e-8 * cos[5.18839740735 + 225.8292684102 * tau] + 9.279e-8 * cos[2.43997351068 + 565.1156877467 * tau] + 9.655e-8 * cos[3.05950236129 + 2.9689454166 * tau] + 1.1332e-7 * cos[1.07613885149 + 72.3339180125 * tau] + 1.0175e-7 * cos[0.32936886913 + 70.3281804424 * tau] + 1.1573e-7 * cos[4.16500659139 + 60.5545045657 * tau] + 1.1680e-7 * cos[3.73278249629 + 220.4126424388 * tau] + 1.2045e-7 * cos[3.23910807852 + 116.4260963429 * tau] + 1.1826e-7 * cos[4.65645290272 + 41.6444977756 * tau] + 1.1449e-7 * cos[2.02645622099 + 7.1135470008 * tau] + 1.2898e-7 * cos[4.43242192513 + 87.3117715395 * tau] + 1.1996e-7 * cos[5.10426418352 + 191.2076949102 * tau] + 1.6442e-7 * cos[0.40190549188 + 265.9892934775 * tau] + 1.3450e-7 * cos[1.53176996919 + 422.6660376129 * tau] + 1.2467e-7 * cos[1.33213558369 + 51.2057253312 * tau] + 1.2890e-7 * cos[3.03270380745 + 92.940845832 * tau] + 1.3286e-7 * cos[1.26285812368 + 134.5853436076 * tau] + 1.3328e-7 * cos[5.25179190495 + 137.0330241624 * tau] + 1.3872e-7 * cos[3.38531100784 + 358.9301393095 * tau] + 1.4806e-7 * cos[5.43824503068 + 408.4389436113 * tau] + 1.6053e-7 * cos[3.64619586667 + 152.7445908723 * tau] + 1.7196e-7 * cos[4.36852462522 + 54.1746707478 * tau] + 1.6578e-7 * cos[1.85615182154 + 340.7708920448 * tau] + 1.6584e-7 * cos[4.77529536873 + 213.299095438 * tau] + 1.9961e-7 * cos[2.3207735618 + 2.4476805548 * tau] + 2.0816e-7 * cos[2.19643268155 + 45.5766510387 * tau] + 2.7650e-7 * cos[4.91488946525 + 277.0349937414 * tau] + 2.2679e-7 * cos[1.7143424397 + 160.6088973985 * tau] + 2.3037e-7 * cos[1.03776963677 + 84.3428261229 * tau] + 2.4372e-7 * cos[5.86680440531 + 69.3649725959 * tau] + 2.6097e-7 * cos[0.65978256272 + 120.358249606 * tau] + 2.8152e-7 * cos[4.57845964163 + 77.2292791221 * tau] + 2.7150e-7 * cos[3.53242984046 + 209.3669421749 * tau] + 3.1289e-7 * cos[2.26696307388 + 195.1398481733 * tau] + 3.1411e-7 * cos[4.59200004835 + 148.0787244263 * tau] + 4.1989e-7 * cos[2.09071623849 + 12.5301729722 * tau] + 3.6201e-7 * cos[5.40315761474 + 77.7505439839 * tau] + 3.7328e-7 * cos[5.91300114911 + 984.6003316219 * tau] + 4.4340e-7 * cos[5.89997845114 + 71.8126531507 * tau] + 4.2420e-7 * cos[6.13634453301 + 284.1485407422 * tau] + 4.2170e-7 * cos[2.61650997054 + 151.0476698429 * tau] + 4.3584e-7 * cos[1.92568752002 + 59.8037450403 * tau] + 4.8700e-7 * cos[3.74709235789 + 269.9214467406 * tau] + 5.8957e-7 * cos[5.55530463687 + 9.5612275556 * tau] + 6.3537e-7 * cos[3.96202309168 + 67.6680515665 * tau] + 5.0990e-7 * cos[3.86691997779 + 65.2203710117 * tau] + 7.1110e-7 * cos[6.10490061068 + 454.9093665273 * tau] + 6.4369e-7 * cos[3.39006689398 + 1.4844727083 * tau] + 5.7782e-7 * cos[4.90737420887 + 22.0914005278 * tau] + 6.1819e-7 * cos[3.29964272893 + 351.8165923087 * tau] + 0.00000103858 * cos[3.58561789629 + 71.6002048296 * tau] + 0.00000114066 * cos[4.7874187396 + 145.6310438715 * tau] + 8.8206e-7 * cos[2.93094837724 + 62.2514255951 * tau] + 8.9217e-7 * cos[0.23425778826 + 202.2533951741 * tau] + 9.1379e-7 * cos[0.67973399531 + 18.1592472647 * tau] + 9.8875e-7 * cos[6.15817742611 + 224.3447957019 * tau] + 0.0000011269 * cos[1.01361852218 + 462.0229135281 * tau] + 0.00000117452 * cos[4.93414907433 + 447.7958195265 * tau] + 0.00000148554 * cos[4.89840863841 + 127.4717966068 * tau] + 0.00000128834 * cos[2.08146849515 + 3.1813937377 * tau] + 0.00000215788 * cos[0.84812474187 + 77.962992305 * tau] + 0.00000219674 * cos[1.96418942891 + 131.4039498699 * tau] + 0.00000205449 * cos[3.24758017121 + 78.7137518304 * tau] + 0.00000286579 * cos[3.5335768327 + 73.297125859 * tau] + 0.00000272898 * cos[3.84707823651 + 138.5174968707 * tau] + 0.00000292097 * cos[0.20389012095 + 52.6901980395 * tau] + 0.00000389945 * cos[5.52673426377 + 85.8272988312 * tau] + 0.00000390371 * cos[4.49605283502 + 56.6223513026 * tau] + 0.00000500429 * cos[6.17229032223 + 76.2660712756 * tau] + 0.00000461009 * cos[0.76676632849 + 3.9321532631 * tau] + 0.00000770188 * cos[0.0 + 0.0 * tau] + 0.00001649559 * cos[3.0966007898 + 11.0457002639 * tau] + 0.00001433755 * cos[3.52119917947 + 149.5631971346 * tau] + 0.00001681903 * cos[4.64833551727 + 70.8494453042 * tau] + 0.00004727037 * cos[1.69901641488 + 63.7358983034 * tau] + 0.00022439904 * cos[0.6995311876 + 74.7815985673 * tau]; R3 = 2.213e-8 * cos[2.20360299816 + 465.9550667912 * tau] + 2.291e-8 * cos[4.814246016 + 536.8045120954 * tau] + 2.254e-8 * cos[5.77129530133 + 84.3428261229 * tau] + 2.323e-8 * cos[1.67918985468 + 358.9301393095 * tau] + 2.700e-8 * cos[2.77036653988 + 213.299095438 * tau] + 2.662e-8 * cos[1.98593312104 + 450.9772132642 * tau] + 3.054e-8 * cos[5.84310939105 + 160.6088973985 * tau] + 2.800e-8 * cos[0.79480255927 + 572.2292347475 * tau] + 2.744e-8 * cos[5.64674283515 + 134.5853436076 * tau] + 2.940e-8 * cos[6.03594958459 + 12.5301729722 * tau] + 3.605e-8 * cos[1.17366167402 + 153.4953503977 * tau] + 3.277e-8 * cos[1.40881404192 + 351.8165923087 * tau] + 3.950e-8 * cos[1.85721204932 + 152.7445908723 * tau] + 3.195e-8 * cos[2.98608971329 + 387.2413149608 * tau] + 3.497e-8 * cos[1.54139696251 + 148.0787244263 * tau] + 4.241e-8 * cos[3.95755998904 + 9.5612275556 * tau] + 3.808e-8 * cos[1.04818660873 + 92.940845832 * tau] + 3.582e-8 * cos[3.92592140377 + 124.2904028691 * tau] + 3.636e-8 * cos[1.99709010456 + 65.2203710117 * tau] + 5.201e-8 * cos[4.15791319343 + 195.1398481733 * tau] + 3.922e-8 * cos[1.88900691473 + 209.3669421749 * tau] + 4.160e-8 * cos[1.83820502779 + 72.3339180125 * tau] + 5.087e-8 * cos[0.77745294804 + 62.2514255951 * tau] + 4.692e-8 * cos[2.7840457544 + 120.358249606 * tau] + 5.022e-8 * cos[1.84154937974 + 202.2533951741 * tau] + 5.768e-8 * cos[4.22672716593 + 373.0142209592 * tau] + 8.101e-8 * cos[0.29563819537 + 127.4717966068 * tau] + 6.818e-8 * cos[0.01396812984 + 151.0476698429 * tau] + 6.459e-8 * cos[4.37142319461 + 284.1485407422 * tau] + 7.107e-8 * cos[5.43946774526 + 269.9214467406 * tau] + 8.121e-8 * cos[2.61579604319 + 22.0914005278 * tau] + 7.606e-8 * cos[1.44542030704 + 1.4844727083 * tau] + 1.0529e-7 * cos[3.58261852497 + 224.3447957019 * tau] + 1.1056e-7 * cos[6.03152659562 + 138.5174968707 * tau] + 1.5958e-7 * cos[5.19915553904 + 71.6002048296 * tau] + 1.7951e-7 * cos[0.0 + 0.0 * tau] + 1.5475e-7 * cos[2.97496547327 + 145.6310438715 * tau] + 1.5232e-7 * cos[3.85998573509 + 73.297125859 * tau] + 1.5441e-7 * cos[5.57271837433 + 462.0229135281 * tau] + 1.5767e-7 * cos[0.37116951743 + 447.7958195265 * tau] + 1.9390e-7 * cos[5.13477648625 + 18.1592472647 * tau] + 2.4569e-7 * cos[5.14034173566 + 78.7137518304 * tau] + 2.7464e-7 * cos[2.55126467481 + 52.6901980395 * tau] + 2.7663e-7 * cos[0.4283600147 + 3.1813937377 * tau] + 3.6377e-7 * cos[5.65035573017 + 77.962992305 * tau] + 2.9641e-7 * cos[3.44111535957 + 85.8272988312 * tau] + 3.2081e-7 * cos[3.5982517784 + 131.4039498699 * tau] + 3.4029e-7 * cos[3.81553325635 + 76.2660712756 * tau] + 5.4875e-7 * cos[2.59436811267 + 3.9321532631 * tau] + 7.2540e-7 * cos[0.99701907912 + 149.5631971346 * tau] + 7.1681e-7 * cos[0.02528455665 + 56.6223513026 * tau] + 0.00000104527 * cos[0.95807937648 + 11.0457002639 * tau] + 0.00000196408 * cos[2.98004616318 + 70.8494453042 * tau] + 0.00000212367 * cos[3.34255734999 + 63.7358983034 * tau] + 0.00001164382 * cos[4.73453291602 + 74.7815985673 * tau]; R4 = 3.093e-8 * cos[3.14159265359 + 0.0 * tau] + 2.288e-8 * cos[2.23425399117 + 440.6822725257 * tau] + 2.383e-8 * cos[6.21390585593 + 358.9301393095 * tau] + 2.309e-8 * cos[0.92380720934 + 145.6310438715 * tau] + 2.664e-8 * cos[0.44064577837 + 63.7358983034 * tau] + 3.361e-8 * cos[1.29695290266 + 85.8272988312 * tau] + 3.703e-8 * cos[5.22728581851 + 131.4039498699 * tau] + 6.728e-8 * cos[5.42924958121 + 149.5631971346 * tau] + 7.008e-8 * cos[5.08677527404 + 11.0457002639 * tau] + 9.887e-8 * cos[1.91399083603 + 56.6223513026 * tau] + 5.2996e-7 * cos[3.00838033088 + 74.7815985673 * tau]; L = ((L0 + L1 tau + L2 tau^2 + L3 tau^3 + L4 tau^4 + L5 tau^5) radians) mod circle B = ((B0 + B1 tau + B2 tau^2 + B3 tau^3 + B4 tau^4 ) radians) mod circle R = (R0 + R1 tau + R2 tau^2 + R3 tau^3 + R4 tau^4 ) au return [L, B, R] } // // Neptune // // This function calculates the heliocentric coordinates of Neptune // referred to the mean equinox *of the date*. You may want to convert this // to another coordinate system, such as FK5. // // arguments: // d: the date/time to be calculated for // // returns: // [L, B, R] // // Where // L is the heliocentric longitude, // B is the heliocentric latitude // R is the distance from the sun. class var NeptuneHeliocentricCoordinates = {|d| tau = meeusT[d] / 10 L0 = 7.2e-10 * cos[5.06852406179 + 249.9476583675 * tau] + 7.4e-10 * cos[4.92511651321 + 1549.4553869377 * tau] + 9.0e-10 * cos[0.60145818457 + 36.7604375141 * tau] + 8.4e-10 * cos[0.81316746605 + 170.7126416753 * tau] + 8.0e-10 * cos[1.73940577376 + 39.5056337615 * tau] + 8.0e-10 * cos[4.38832594589 + 10137.0194749354 * tau] + 8.1e-10 * cos[1.89134135215 + 36.6003788197 * tau] + 1.04e-9 * cos[0.20665642552 + 564.8550553158 * tau] + 1.09e-9 * cos[2.15905156247 + 289.5651667136 * tau] + 9.4e-10 * cos[4.21870300178 + 1024.217839968 * tau] + 1.09e-9 * cos[1.533275859 + 419.7452763061 * tau] + 9.3e-10 * cos[4.54014016637 + 36.6967470393 * tau] + 1.20e-9 * cos[3.78755085035 + 1057.8974574809 * tau] + 9.6e-10 * cos[3.86591534559 + 240.125798381 * tau] + 1.10e-9 * cos[5.25053027081 + 986.0848043302 * tau] + 1.41e-9 * cos[2.63342951123 + 381.6122406683 * tau] + 1.11e-9 * cos[6.18471578216 + 981.6313862053 * tau] + 1.24e-9 * cos[2.93225731024 + 179.6194779251 * tau] + 1.26e-9 * cos[5.77648809669 + 525.2375469697 * tau] + 1.41e-9 * cos[0.18423889807 + 131.4039498699 * tau] + 1.11e-9 * cos[0.77449448649 + 179.3588454942 * tau] + 1.22e-9 * cos[3.01323006886 + 70.8494453042 * tau] + 1.30e-9 * cos[3.04810765699 + 310.7146112543 * tau] + 1.28e-9 * cos[2.53394068407 + 276.7743613105 * tau] + 1.38e-9 * cos[1.22260849471 + 187.6962327724 * tau] + 1.37e-9 * cos[2.96534226337 + 6206.8097787158 * tau] + 1.76e-9 * cos[0.41626373842 + 222.8603229936 * tau] + 1.81e-9 * cos[2.9970479059 + 75.7448064138 * tau] + 1.45e-9 * cos[4.96888131586 + 1189.3014073508 * tau] + 1.88e-9 * cos[0.8210416155 + 10210.3166007944 * tau] + 1.46e-9 * cos[4.9957011266 + 142.6620984549 * tau] + 1.45e-9 * cos[2.81448128781 + 1512.8068240082 * tau] + 1.60e-9 * cos[4.77712663799 + 524.0137066923 * tau] + 1.68e-9 * cos[0.52839230204 + 487.1045113319 * tau] + 1.77e-9 * cos[3.49360697678 + 421.2297490144 * tau] + 2.05e-9 * cos[4.16096717573 + 711.4493070338 * tau] + 1.50e-9 * cos[5.42593657173 + 526.9826521089 * tau] + 1.51e-9 * cos[1.66981962338 + 116.5379709275 * tau] + 1.73e-9 * cos[5.15083799917 + 474.9468453752 * tau] + 1.98e-9 * cos[5.68125942959 + 6280.1069045748 * tau] + 1.81e-9 * cos[6.23699820519 + 355.9611938929 * tau] + 1.94e-9 * cos[1.13504964219 + 57.255490749 * tau] + 1.81e-9 * cos[2.1081456208 + 113.8778420516 * tau] + 1.93e-9 * cos[2.12636756833 + 20350.3050211464 * tau] + 1.72e-9 * cos[0.75085513952 + 267.5856407704 * tau] + 1.89e-9 * cos[1.11279570541 + 1127.2624300768 * tau] + 1.65e-9 * cos[0.97421918976 + 556.5176680376 * tau] + 1.94e-9 * cos[2.3766423145 + 944.9828232758 * tau] + 1.61e-9 * cos[5.96143146317 + 36.1272980677 * tau] + 1.73e-9 * cos[3.93200456456 + 238.9019581036 * tau] + 1.91e-9 * cos[1.68313683465 + 563.3705826075 * tau] + 1.65e-9 * cos[4.00537112057 + 493.5636670269 * tau] + 1.81e-9 * cos[1.43525075751 + 279.7433067271 * tau] + 1.87e-9 * cos[5.57685931698 + 266.1011680621 * tau] + 1.74e-9 * cos[1.95010708561 + 319.3126309634 * tau] + 1.77e-9 * cos[3.5068084179 + 207.3612046048 * tau] + 2.03e-9 * cos[5.11234865419 + 324.7292569348 * tau] + 2.09e-9 * cos[5.34065233845 + 13.642138665 * tau] + 1.92e-9 * cos[0.9697343412 + 304.2342036999 * tau] + 1.66e-9 * cos[5.4903813969 + 10135.5350022271 * tau] + 2.15e-9 * cos[1.92414563346 + 552.6973893591 * tau] + 1.88e-9 * cos[6.17288913873 + 535.3200393871 * tau] + 1.99e-9 * cos[0.06168021293 + 73.5577582899 * tau] + 2.00e-9 * cos[4.16839394758 + 285.1117485887 * tau] + 1.96e-9 * cos[1.95549714182 + 335.7749571987 * tau] + 1.74e-9 * cos[2.76155855705 + 49.1787359017 * tau] + 2.08e-9 * cos[2.65835778368 + 496.0113475817 * tau] + 1.76e-9 * cos[4.64462444674 + 315.1680293792 * tau] + 1.77e-9 * cos[0.03038098292 + 165.6048322446 * tau] + 1.77e-9 * cos[1.50027795761 + 9.449352971 * tau] + 1.92e-9 * cos[3.17719161639 + 343.4792050305 * tau] + 2.03e-9 * cos[0.74638490279 + 14.5571624017 * tau] + 2.14e-9 * cos[1.60213179145 + 11.3063326948 * tau] + 1.81e-9 * cos[1.65699502247 + 1627.2059309216 * tau] + 2.17e-9 * cos[2.45036922991 + 187.1749679106 * tau] + 2.27e-9 * cos[5.7298429854 + 1543.8263126452 * tau] + 2.09e-9 * cos[5.02893682321 + 364.559213602 * tau] + 2.38e-9 * cos[1.93340192445 + 500.1559491659 * tau] + 2.49e-9 * cos[1.57215637373 + 14.2270940016 * tau] + 2.43e-9 * cos[6.06808644973 + 154.0166152595 * tau] + 2.43e-9 * cos[4.35559878377 + 482.9599097477 * tau] + 1.89e-9 * cos[5.28135043909 + 377.1588225434 * tau] + 2.36e-9 * cos[3.95835282821 + 141.4864422873 * tau] + 2.11e-9 * cos[0.06484535455 + 215.4379594521 * tau] + 1.91e-9 * cos[3.72574595369 + 65.2203710117 * tau] + 2.60e-9 * cos[3.88543008475 + 513.079881013 * tau] + 2.58e-9 * cos[5.1244814878 + 608.877797677 * tau] + 2.75e-9 * cos[2.37619210741 + 2118.7638603784 * tau] + 2.19e-9 * cos[4.52300776062 + 1615.8995982268 * tau] + 2.38e-9 * cos[0.96169723853 + 497.1870037493 * tau] + 2.03e-9 * cos[5.44328656642 + 145.6310438715 * tau] + 2.51e-9 * cos[1.52353965506 + 6.8529145699 * tau] + 2.19e-9 * cos[5.67679857772 + 52099.5402118728 * tau] + 2.46e-9 * cos[0.37698964335 + 157.6399519819 * tau] + 2.80e-9 * cos[3.99993658196 + 674.8007441043 * tau] + 2.64e-9 * cos[5.70536379124 + 490.3340891794 * tau] + 2.32e-9 * cos[3.01948719112 + 10.9338256793 * tau] + 2.09e-9 * cos[4.35051470487 + 536.8045120954 * tau] + 2.43e-9 * cos[5.32730346969 + 485.9288551643 * tau] + 2.26e-9 * cos[3.8415296162 + 283.6272758804 * tau] + 2.30e-9 * cos[0.5404995153 + 532.6117264014 * tau] + 2.66e-9 * cos[0.99036038827 + 209.106309744 * tau] + 2.11e-9 * cos[4.04791980901 + 6205.3253060075 * tau] + 2.14e-9 * cos[1.45987216039 + 522.5774180938 * tau] + 2.72e-9 * cos[5.61149862463 + 148.3393568572 * tau] + 2.28e-9 * cos[2.48511565618 + 12566.1516999828 * tau] + 2.25e-9 * cos[3.86300359251 + 171.9846660625 * tau] + 2.74e-9 * cos[4.10829870815 + 518.3846323998 * tau] + 2.30e-9 * cos[6.13158632762 + 178.3474535379 * tau] + 2.38e-9 * cos[1.55647021369 + 79.889407998 * tau] + 2.94e-9 * cos[5.45249564193 + 206.1855484372 * tau] + 2.29e-9 * cos[2.25832077914 + 190.665178189 * tau] + 2.69e-9 * cos[6.09827783249 + 1654.0326338646 * tau] + 2.47e-9 * cos[1.74540930625 + 65.8747623175 * tau] + 2.65e-9 * cos[5.64967127743 + 326.8681209489 * tau] + 2.75e-9 * cos[5.04385701142 + 156.1554792736 * tau] + 2.34e-9 * cos[1.82700149824 + 52175.8062831484 * tau] + 2.63e-9 * cos[2.66670785888 + 464.7312265138 * tau] + 2.37e-9 * cos[0.32676889138 + 208.8456773131 * tau] + 3.06e-9 * cos[5.23085809622 + 45.2465826386 * tau] + 3.13e-9 * cos[5.45945846595 + 13.4933808187 * tau] + 3.15e-9 * cos[5.3488501304 + 183.7640795093 * tau] + 3.00e-9 * cos[0.1743570554 + 252.9166037841 * tau] + 2.54e-9 * cos[0.02963623277 + 117.36805233 * tau] + 3.25e-9 * cos[5.52669889053 + 441.2672278623 * tau] + 2.62e-9 * cos[2.3039000336 + 494.7393231945 * tau] + 2.90e-9 * cos[1.80003152563 + 101.8689339412 * tau] + 2.64e-9 * cos[0.83337660655 + 488.3765357191 * tau] + 2.65e-9 * cos[1.087366328 + 450.4559484024 * tau] + 3.24e-9 * cos[5.30240189273 + 457.617679513 * tau] + 3.08e-9 * cos[1.50185265748 + 77.2292791221 * tau] + 2.68e-9 * cos[5.02354540478 + 377.4194549743 * tau] + 2.66e-9 * cos[0.63672427386 + 79.1868325824 * tau] + 3.44e-9 * cos[1.4893099727 + 166.5680400911 * tau] + 2.88e-9 * cos[5.02487283285 + 1440.7335384266 * tau] + 2.89e-9 * cos[2.63591886391 + 55.7710180407 * tau] + 3.26e-9 * cos[2.46104924164 + 169.5369855077 * tau] + 3.31e-9 * cos[4.37715965811 + 180.7951340927 * tau] + 2.93e-9 * cos[2.56582281789 + 662.531203563 * tau] + 2.88e-9 * cos[1.48123872077 + 220.4126424388 * tau] + 3.08e-9 * cos[0.96082817124 + 21.1494445407 * tau] + 3.27e-9 * cos[2.91090790412 + 505.7850234584 * 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cos[3.67822620786 + 181.7583419392 * tau] + 2.4433e-7 * cos[4.55736848232 + 106.9767433719 * tau] + 2.8249e-7 * cos[4.13282446716 + 6.592282139 * tau] + 3.2279e-7 * cos[3.4575915122 + 30.7106720963 * tau] + 4.4714e-7 * cos[5.47302733614 + 176.6505325085 * tau] + 4.7565e-7 * cos[2.58404814824 + 219.891377577 * tau] + 4.7046e-7 * cos[4.498446604 + 173.6815870919 * tau] + 3.8659e-7 * cos[2.38685706479 + 2.9207613068 * tau] + 4.6858e-7 * cos[3.01699530327 + 498.6714764576 * tau] + 4.7728e-7 * cos[0.12906212461 + 484.444382456 * tau] + 3.9124e-7 * cos[1.6656935605 + 213.299095438 * tau] + 4.7229e-7 * cos[4.57373229818 + 46.2097904851 * tau] + 4.8276e-7 * cos[1.11259925628 + 112.9146342051 * tau] + 5.8488e-7 * cos[3.50106873945 + 145.1097790097 * tau] + 6.2570e-7 * cos[0.15028731465 + 182.279606801 * tau] + 6.4418e-7 * cos[3.5454101605 + 168.0525127994 * tau] + 7.1503e-7 * cos[5.29530386579 + 350.3321196004 * tau] + 8.1536e-7 * cos[5.19908046216 + 493.0424021651 * tau] + 8.6379e-7 * cos[4.22834506045 + 490.0734567485 * tau] + 7.7725e-7 * cos[4.16446516424 + 4.192785694 * tau] + 7.3938e-7 * cos[1.32805041516 + 529.6909650946 * tau] + 0.000001093 * cos[2.41599378049 + 183.2428146475 * tau] + 0.00000103305 * cos[0.04078966679 + 0.2606324309 * tau] + 0.00000103054 * cos[4.40441222 + 70.3281804424 * tau] + 9.7873e-7 * cos[2.80518260528 + 8.0767548473 * tau] + 0.00000101821 * cos[5.70539236951 + 0.1118745846 * tau] + 0.00000118672 * cos[3.67706204305 + 2.4476805548 * tau] + 0.00000148295 * cos[0.85948986145 + 111.4301614968 * tau] + 0.00000151401 * cos[2.1915309428 + 33.9402499438 * tau] + 0.00000170404 * cos[3.3239063065 + 108.4612160802 * tau] + 0.0000015018 * cos[2.99706110414 + 5.9378908332 * tau] + 0.00000251941 * cos[5.78166597292 + 388.4651552382 * tau] + 0.0000028217 * cos[2.24565579693 + 146.594251718 * tau] + 0.00000232887 * cos[2.50459795017 + 137.0330241624 * tau] + 0.00000244722 * cos[1.24693337933 + 9.5612275556 * tau] + 0.00000227079 * cos[1.79713054538 + 453.424893819 * tau] + 0.00000266605 * cos[4.88932609483 + 0.9632078465 * tau] + 0.00000340323 * cos[3.30369900416 + 77.7505439839 * tau] + 0.00000323004 * cos[2.24815188609 + 32.1951448046 * tau] + 0.00000287322 * cos[4.50523446022 + 0.0481841098 * tau] + 0.00000306338 * cos[0.49684039897 + 0.5212648618 * tau] + 0.00000345195 * cos[3.46186210169 + 41.1019810544 * tau] + 0.00000399552 * cos[0.34972342569 + 1021.2488945514 * tau] + 0.00000506206 * cos[5.74785370252 + 114.3991069134 * tau] + 0.00000744996 * cos[3.19032530145 + 71.8126531507 * tau] + 0.0000090024 * cos[2.07606702418 + 109.9456887885 * tau] + 0.00001433512 * cos[2.78340432711 + 74.7815985673 * tau] + 0.000022848 * cos[4.20606932559 + 4.4534181249 * tau] + 0.00003364818 * cos[1.03590121818 + 33.6796175129 * tau] + 0.00004216235 * cos[1.98711914364 + 73.297125859 * tau] + 0.00008994249 * cos[0.27462142569 + 175.1660598002 * tau] + 0.00009198582 * cos[4.93747059924 + 39.6175083461 * tau] + 0.00016482741 * cos[0.00007729261 + 491.5579294568 * tau] + 0.00033784734 * cos[1.24488865578 + 76.2660712756 * tau] + 0.00037714589 * cos[6.09221834946 + 35.1640902212 * tau] + 0.0004206445 * cos[5.41054991607 + 2.9689454166 * tau] + 0.00124531845 * cos[4.83008090682 + 36.6485629295 * tau] + 0.01019727662 * cos[0.4858092366 + 1.4844727083 * tau] + 0.01798475509 * cos[2.9010127305 + 38.1330356378 * tau] + 5.31188633047 * cos[0.0 + 0.0 * tau]; L1 = 7.4e-10 * cos[3.90678924318 + 1019.7644218431 * tau] + 8.4e-10 * cos[2.64687252518 + 536.8045120954 * tau] + 9.5e-10 * cos[0.2311185273 + 500.1559491659 * tau] + 9.7e-10 * cos[6.05634803604 + 482.9599097477 * tau] + 8.5e-10 * cos[3.16062141266 + 522.5774180938 * tau] + 9.5e-10 * cos[5.54259914856 + 497.1870037493 * tau] + 9.7e-10 * cos[0.74486741478 + 485.9288551643 * tau] + 1.06e-9 * cos[0.87068583107 + 1059.3819301892 * tau] + 1.08e-9 * cos[2.1037848588 + 494.5268748734 * tau] + 1.08e-9 * cos[1.03796693383 + 488.5889840402 * tau] + 1.16e-9 * cos[5.58946529961 + 35.685355083 * tau] + 1.12e-9 * cos[4.34485256988 + 138.5174968707 * tau] + 1.23e-9 * cos[4.46641157829 + 1022.7333672597 * tau] + 1.16e-9 * cos[6.06435563172 + 220.4126424388 * tau] + 1.29e-9 * cos[3.64795525602 + 183.7640795093 * tau] + 1.36e-9 * cos[1.8167245174 + 151.0476698429 * tau] + 1.35e-9 * cos[5.0751756178 + 426.598190876 * tau] + 1.34e-9 * cos[3.18868986487 + 166.5680400911 * tau] + 1.29e-9 * cos[2.6762505701 + 180.7951340927 * tau] + 1.21e-9 * cos[0.29300927469 + 206.1855484372 * tau] + 1.34e-9 * cos[4.16039455079 + 169.5369855077 * tau] + 1.27e-9 * cos[3.9872659971 + 84.3428261229 * tau] + 1.37e-9 * cos[2.14480243915 + 563.6312150384 * tau] + 1.40e-9 * cos[1.49826604627 + 386.9806825299 * tau] + 1.47e-9 * cos[1.8068917751 + 377.4194549743 * tau] + 1.47e-9 * cos[4.3095893074 + 157.6399519819 * tau] + 1.56e-9 * cos[0.6432152487 + 1029.8469142605 * tau] + 1.46e-9 * cos[5.70714579127 + 419.4846438752 * tau] + 1.52e-9 * cos[0.42398786475 + 274.0660483248 * tau] + 1.52e-9 * cos[3.35145509017 + 285.3723810196 * tau] + 1.83e-9 * cos[5.45168150656 + 218.4069048687 * tau] + 1.55e-9 * cos[3.25842414799 + 10251.4185818488 * tau] + 1.61e-9 * cos[1.21480182441 + 1024.4302882891 * tau] + 1.71e-9 * cos[0.66899426684 + 179.3106613844 * tau] + 1.61e-9 * cos[2.22215642318 + 574.9375477332 * tau] + 1.76e-9 * cos[3.86129425367 + 148.3393568572 * tau] + 1.64e-9 * cos[1.49614763046 + 63.7358983034 * tau] + 1.63e-9 * cos[3.88198848446 + 556.5176680376 * tau] + 1.66e-9 * cos[3.41009128748 + 81.3738807063 * tau] + 1.67e-9 * cos[3.94754384833 + 77.2292791221 * tau] + 1.73e-9 * cos[2.61090344107 + 389.9496279465 * tau] + 2.00e-9 * cos[6.12663205401 + 14.2270940016 * tau] + 1.71e-9 * cos[5.50633466316 + 179.0982130633 * tau] + 1.75e-9 * cos[4.49165234532 + 171.2339065371 * tau] + 2.02e-9 * cos[3.43517732411 + 45.2465826386 * tau] + 1.84e-9 * cos[2.24245977278 + 815.0633461142 * tau] + 1.89e-9 * cos[4.05785534221 + 120.9913890524 * tau] + 1.86e-9 * cos[2.50651218075 + 487.3651437628 * tau] + 2.24e-9 * cos[4.43751392203 + 639.897286314 * tau] + 2.01e-9 * cos[2.58746514605 + 119.5069163441 * tau] + 2.16e-9 * cos[5.4422591887 + 39.0962434843 * tau] + 2.56e-9 * cos[0.4207359846 + 23.9059416362 * tau] + 2.20e-9 * cos[2.30038816175 + 1052.2683831884 * tau] + 2.10e-9 * cos[4.53976756699 + 1093.322180133 * tau] + 2.38e-9 * cos[2.69801319489 + 882.9438460018 * tau] + 2.13e-9 * cos[1.64175339637 + 1089.129394439 * tau] + 2.12e-9 * cos[5.41931177641 + 64.9597385808 * tau] + 2.82e-9 * cos[1.48595620175 + 983.1158589136 * tau] + 2.30e-9 * cos[3.24571542922 + 1066.49547719 * tau] + 2.31e-9 * cos[2.47026250085 + 454.9093665273 * tau] + 2.87e-9 * cos[2.44403568436 + 16.6747745564 * tau] + 2.65e-9 * cos[0.62702473701 + 253.5709950899 * tau] + 2.39e-9 * cos[5.54080102299 + 911.042573332 * tau] + 2.57e-9 * cos[3.64119914774 + 446.3113468182 * tau] + 3.28e-9 * cos[0.50849285663 + 6206.8097787158 * tau] + 2.52e-9 * cos[3.12745026026 + 460.5384408198 * tau] + 2.66e-9 * cos[1.21002824826 + 505.7850234584 * tau] + 2.66e-9 * cos[3.09977370364 + 69.3649725959 * tau] + 2.90e-9 * cos[0.18636083306 + 143.6253063014 * tau] + 2.95e-9 * cos[2.4873753724 + 19.1224551112 * tau] + 2.88e-9 * cos[2.28755739359 + 47.6942631934 * tau] + 3.95e-9 * cos[1.93577214824 + 10137.0194749354 * tau] + 3.07e-9 * cos[5.39420288683 + 160.9389657986 * tau] + 2.96e-9 * cos[0.86351261285 + 149.5631971346 * tau] + 3.53e-9 * cos[1.10614174053 + 20.6069278195 * tau] + 3.72e-9 * cos[0.39980033572 + 494.7393231945 * tau] + 3.78e-9 * cos[2.74122401337 + 488.3765357191 * tau] + 3.90e-9 * cos[5.49512204296 + 350.3321196004 * tau] + 3.61e-9 * cos[0.29018303419 + 72.0732855816 * tau] + 4.24e-9 * cos[5.27159202779 + 181.7583419392 * tau] + 3.68e-9 * cos[3.53577440355 + 40.5807161926 * tau] + 3.52e-9 * cos[3.10952926034 + 135.5485514541 * tau] + 3.58e-9 * cos[3.69126616347 + 3.9321532631 * tau] + 3.69e-9 * cos[4.45577410338 + 6.9010986797 * tau] + 3.84e-9 * cos[5.60377408953 + 594.6507036754 * tau] + 4.62e-9 * cos[3.80436154644 + 343.2185725996 * tau] + 4.79e-9 * cos[5.55141744216 + 37.611770776 * tau] + 3.83e-9 * cos[1.90232196422 + 22.633917249 * tau] + 4.43e-9 * cos[3.39350946329 + 357.4456666012 * tau] + 4.24e-9 * cos[1.95736011325 + 477.3308354552 * tau] + 4.36e-9 * cos[2.41630174435 + 82.8583534146 * tau] + 5.24e-9 * cos[3.43316448349 + 38.6543004996 * tau] + 4.56e-9 * cos[4.44331571392 + 43.2408450685 * tau] + 5.26e-9 * cos[3.02138731705 + 5.6290742925 * tau] + 6.39e-9 * cos[0.68930265745 + 529.6909650946 * tau] + 5.21e-9 * cos[1.02371768017 + 415.2918581812 * tau] + 5.30e-9 * cos[5.61201247153 + 12.5301729722 * tau] + 5.95e-9 * cos[0.00857468445 + 42.5864537627 * tau] + 6.08e-9 * cos[4.60180625368 + 189.3931538018 * tau] + 6.24e-9 * cos[0.01567750666 + 28.5718080822 * tau] + 6.54e-9 * cos[1.13177751192 + 68.8437077341 * tau] + 7.14e-9 * cos[6.24797992301 + 106.9767433719 * tau] + 7.38e-9 * cos[3.5676601896 + 176.6505325085 * tau] + 8.25e-9 * cos[1.35568908148 + 129.9194771616 * tau] + 6.69e-9 * cos[4.50554989443 + 27.0873353739 * tau] + 7.93e-9 * cos[6.13086312116 + 567.8240007324 * tau] + 7.81e-9 * cos[0.10946327923 + 173.6815870919 * tau] + 7.27e-9 * cos[1.39718382835 + 213.299095438 * tau] + 7.11e-9 * cos[3.14189997439 + 278.2588340188 * tau] + 8.28e-9 * cos[4.060351946 + 115.8835796217 * tau] + 7.89e-9 * cos[0.37496785039 + 26.826702943 * tau] + 9.22e-9 * cos[5.12373360511 + 145.1097790097 * tau] + 8.52e-9 * cos[5.35508394316 + 144.1465711632 * tau] + 8.90e-9 * cos[0.87049255398 + 31.2319369581 * tau] + 9.94e-9 * cos[4.11489180313 + 4.665866446 * tau] + 9.40e-9 * cos[3.09103721222 + 62.2514255951 * tau] + 1.193e-8 * cos[4.63176675581 + 60.7669528868 * tau] + 9.98e-9 * cos[1.73689827444 + 1028.3624415522 * tau] + 9.83e-9 * cos[0.05345050384 + 7.4223635415 * tau] + 1.002e-8 * cos[1.85850922283 + 5.1078094307 * tau] + 1.038e-8 * cos[1.13470380744 + 1014.1353475506 * tau] + 1.034e-8 * cos[5.93741289103 + 32.7164096664 * tau] + 1.037e-8 * cos[4.89007314395 + 1.2720243872 * tau] + 1.053e-8 * cos[4.6037551683 + 79.2350166922 * tau] + 1.517e-8 * cos[3.12967210501 + 491.5579294568 * tau] + 1.176e-8 * cos[5.87266726996 + 5.4166259714 * tau] + 1.336e-8 * cos[3.28611928206 + 493.0424021651 * tau] + 1.207e-8 * cos[0.59525736062 + 312.1990839626 * tau] + 1.408e-8 * cos[6.13722948564 + 490.0734567485 * tau] + 1.468e-8 * cos[6.12983933526 + 1550.939859646 * tau] + 1.614e-8 * cos[0.42137145545 + 175.1660598002 * tau] + 1.876e-8 * cos[2.59784179105 + 33.9402499438 * tau] + 1.646e-8 * cos[3.34591387314 + 44.7253177768 * tau] + 1.644e-8 * cos[0.15855999051 + 152.5321425512 * tau] + 1.776e-8 * cos[3.86571077241 + 395.578702239 * tau] + 1.700e-8 * cos[3.91715254287 + 11.0457002639 * tau] + 2.018e-8 * cos[3.42245274178 + 31.019488637 * tau] + 1.859e-8 * cos[0.89409373259 + 24.1183899573 * tau] + 2.235e-8 * cos[2.38045158073 + 453.424893819 * tau] + 2.126e-8 * cos[0.54976393136 + 41.0537969446 * tau] + 2.075e-8 * cos[5.20632201951 + 30.7106720963 * tau] + 2.111e-8 * cos[5.93089610785 + 25.6028626656 * tau] + 2.894e-8 * cos[4.20148844767 + 381.3516082374 * tau] + 2.784e-8 * cos[4.95821114677 + 108.4612160802 * tau] + 2.398e-8 * cos[1.04343654629 + 6.592282139 * tau] + 2.403e-8 * cos[2.90637675099 + 601.7642506762 * tau] + 2.939e-8 * cos[4.86520586648 + 98.8999885246 * tau] + 3.233e-8 * cos[6.10303038418 + 70.3281804424 * tau] + 3.700e-8 * cos[5.25713252333 + 111.4301614968 * tau] + 4.845e-8 * cos[3.7105582375 + 112.9146342051 * tau] + 5.543e-8 * cos[2.24141557794 + 46.2097904851 * tau] + 6.992e-8 * cos[0.61688864282 + 2.9207613068 * tau] + 7.632e-8 * cos[5.51307048241 + 73.297125859 * tau] + 9.882e-8 * cos[6.08165628679 + 7.1135470008 * tau] + 8.968e-8 * cos[0.01758559103 + 8.0767548473 * tau] + 9.606e-8 * cos[1.88534821556 + 41.1019810544 * tau] + 9.581e-8 * cos[1.23188039594 + 5.9378908332 * tau] + 1.1725e-7 * cos[4.89255650674 + 71.8126531507 * tau] + 1.0720e-7 * cos[2.44148149225 + 4.192785694 * tau] + 1.5094e-7 * cos[3.9870525494 + 32.1951448046 * tau] + 1.5063e-7 * cos[4.9500389376 + 137.0330241624 * tau] + 1.8661e-7 * cos[1.31606255521 + 498.6714764576 * tau] + 1.9022e-7 * cos[1.82981144269 + 484.444382456 * tau] + 2.0205e-7 * cos[5.78945415677 + 1021.2488945514 * tau] + 2.4869e-7 * cos[4.7319306781 + 182.279606801 * tau] + 2.5507e-7 * cos[5.24526281928 + 168.0525127994 * tau] + 2.8742e-7 * cos[5.16732589024 + 2.4476805548 * tau] + 2.8866e-7 * cos[5.16877529164 + 9.5612275556 * tau] + 2.9871e-7 * cos[3.67043294114 + 388.4651552382 * tau] + 3.2216e-7 * cos[5.9041148968 + 77.7505439839 * tau] + 3.5368e-7 * cos[4.51676827545 + 74.7815985673 * tau] + 5.7355e-7 * cos[1.85767603384 + 114.3991069134 * tau] + 5.7069e-7 * cos[5.2164980497 + 0.5212648618 * tau] + 7.2684e-7 * cos[5.48724732699 + 36.6485629295 * tau] + 0.00000105747 * cos[2.7547932655 + 33.6796175129 * tau] + 0.00000106537 * cos[2.45126138334 + 4.4534181249 * tau] + 0.00000178623 * cos[3.45318524147 + 39.6175083461 * tau] + 0.00000604832 * cos[1.50477747549 + 35.1640902212 * tau] + 0.0000130584 * cos[3.67320813491 + 2.9689454166 * tau] + 0.00003334701 * cos[3.6819967602 + 76.2660712756 * tau] + 0.00015807148 * cos[2.27923488532 + 38.1330356378 * tau] + 0.00016604187 * cos[4.86319129565 + 1.4844727083 * tau] + 38.37687716731 * cos[0.0 + 0.0 * tau]; L2 = 7.6e-10 * cos[0.20932812381 + 453.424893819 * tau] + 1.04e-9 * cos[6.03262825314 + 529.6909650946 * tau] + 1.36e-9 * cos[2.75150881988 + 144.1465711632 * tau] + 1.51e-9 * cos[3.81621340568 + 146.594251718 * tau] + 1.82e-9 * cos[2.33457064554 + 152.5321425512 * tau] + 1.57e-9 * cos[5.89200571154 + 169.5369855077 * tau] + 1.69e-9 * cos[4.91086673212 + 166.5680400911 * tau] + 1.78e-9 * cos[0.34928799031 + 1028.3624415522 * tau] + 2.17e-9 * cos[1.46218158211 + 71.8126531507 * tau] + 1.73e-9 * cos[6.23717119485 + 493.0424021651 * tau] + 1.71e-9 * cos[1.61368476689 + 357.4456666012 * tau] + 1.82e-9 * cos[1.92429384025 + 183.7640795093 * tau] + 1.72e-9 * cos[0.59550457102 + 46.2097904851 * tau] + 1.72e-9 * cos[3.66036463613 + 477.3308354552 * tau] + 1.90e-9 * cos[5.57500985081 + 343.2185725996 * tau] + 1.84e-9 * cos[3.01962045713 + 1014.1353475506 * tau] + 2.27e-9 * cos[0.20028518978 + 60.7669528868 * tau] + 1.94e-9 * cos[2.37949641473 + 73.297125859 * tau] + 2.48e-9 * cos[5.85877831382 + 1059.3819301892 * tau] + 2.33e-9 * cos[3.16423779113 + 41.1019810544 * tau] + 1.91e-9 * cos[4.88786653062 + 39.6175083461 * tau] + 2.00e-9 * cos[0.52604535784 + 64.9597385808 * tau] + 2.45e-9 * cos[4.26572913391 + 220.4126424388 * tau] + 2.47e-9 * cos[2.89695614593 + 189.3931538018 * tau] + 2.59e-9 * cos[5.66033623678 + 112.9146342051 * tau] + 3.54e-9 * cos[1.30783918287 + 601.7642506762 * tau] + 3.75e-9 * cos[4.61250246774 + 8.0767548473 * tau] + 3.83e-9 * cos[5.48585528762 + 5.9378908332 * tau] + 4.46e-9 * cos[0.36647221351 + 98.8999885246 * tau] + 5.82e-9 * cos[5.25716719826 + 31.019488637 * tau] + 5.12e-9 * cos[6.22609200672 + 381.3516082374 * tau] + 4.97e-9 * cos[2.24615784762 + 395.578702239 * tau] + 6.64e-9 * cos[0.88101734307 + 4.192785694 * tau] + 1.124e-8 * cos[0.38710602242 + 137.0330241624 * tau] + 1.309e-8 * cos[4.52400192922 + 1021.2488945514 * tau] + 1.652e-8 * cos[2.55859494053 + 36.6485629295 * tau] + 2.204e-8 * cos[1.69321574906 + 77.7505439839 * tau] + 1.844e-8 * cos[5.12281562096 + 33.6796175129 * tau] + 2.451e-8 * cos[4.68586840176 + 491.5579294568 * tau] + 1.847e-8 * cos[3.48574435762 + 9.5612275556 * tau] + 2.211e-8 * cos[4.3799709224 + 7.1135470008 * tau] + 2.157e-8 * cos[1.89135758747 + 388.4651552382 * tau] + 3.255e-8 * cos[1.84921884906 + 175.1660598002 * tau] + 3.415e-8 * cos[0.55971639038 + 74.7815985673 * tau] + 2.966e-8 * cos[0.31002477611 + 4.4534181249 * tau] + 3.741e-8 * cos[5.90238217874 + 498.6714764576 * tau] + 3.925e-8 * cos[3.53214557374 + 484.444382456 * tau] + 4.288e-8 * cos[3.84351844003 + 114.3991069134 * tau] + 5.201e-8 * cos[3.02338671812 + 182.279606801 * tau] + 5.223e-8 * cos[0.67427930044 + 168.0525127994 * tau] + 9.057e-8 * cos[4.42544992035 + 35.1640902212 * tau] + 7.333e-8 * cos[0.5403330683 + 2.4476805548 * tau] + 2.3023e-7 * cos[1.21035596452 + 2.9689454166 * tau] + 0.0000027019 * cos[5.72143228148 + 76.2660712756 * tau] + 0.00000295693 * cos[1.85520292248 + 1.4844727083 * tau] + 0.00000281251 * cos[1.19084538887 + 38.1330356378 * tau] + 0.00053892649 * cos[0.0 + 0.0 * tau]; L3 = 1.49e-9 * cos[3.09327713923 + 35.1640902212 * tau] + 1.60e-9 * cos[5.63111039032 + 114.3991069134 * tau] + 2.06e-9 * cos[2.51012178002 + 74.7815985673 * tau] + 1.94e-9 * cos[2.05904114139 + 137.0330241624 * tau] + 3.01e-9 * cos[2.69253200796 + 7.1135470008 * tau] + 6.64e-9 * cos[0.55871435877 + 31.019488637 * tau] + 5.23e-9 * cos[4.16769839601 + 498.6714764576 * tau] + 5.37e-9 * cos[5.23632185196 + 484.444382456 * tau] + 7.15e-9 * cos[1.27409542804 + 182.279606801 * tau] + 7.41e-9 * cos[2.35936954597 + 168.0525127994 * tau] + 1.351e-8 * cos[4.93951495175 + 2.9689454166 * tau] + 1.1547e-7 * cos[6.11257808366 + 38.1330356378 * tau] + 1.4541e-7 * cos[1.35337075856 + 76.2660712756 * tau] + 1.2461e-7 * cos[6.04431418812 + 1.4844727083 * tau] + 3.1254e-7 * cos[0.0 + 0.0 * tau]; L4 = 6.05e-9 * cos[3.18211885677 + 76.2660712756 * tau] + 0.00000113998 * cos[3.14159265359 + 0.0 * tau]; L5 = 8.74e-9 * cos[3.14159265359 + 0.0 * tau]; B0 = 7.1e-10 * cos[1.5196198969 + 488.5889840402 * tau] + 7.5e-10 * cos[0.23453373368 + 63.7358983034 * tau] + 8.0e-10 * cos[1.58140274465 + 69.1525242748 * tau] + 9.4e-10 * cos[1.79320597168 + 493.0424021651 * tau] + 8.9e-10 * cos[1.02830167997 + 1021.2488945514 * tau] + 9.1e-10 * cos[5.84828809934 + 10137.0194749354 * tau] + 9.3e-10 * cos[0.63687810471 + 377.1588225434 * tau] + 9.5e-10 * cos[2.17636214523 + 101.8689339412 * tau] + 9.4e-10 * cos[0.54938580474 + 293.188503436 * tau] + 1.01e-9 * cos[4.71267656829 + 117.36805233 * tau] + 9.8e-10 * cos[0.44044795266 + 328.3525936572 * tau] + 1.02e-9 * cos[2.58735617801 + 450.4559484024 * tau] + 1.05e-9 * cos[0.65548440578 + 173.6815870919 * tau] + 1.10e-9 * cos[5.32587573069 + 240.125798381 * tau] + 1.14e-9 * cos[1.4889498028 + 253.5709950899 * tau] + 1.07e-9 * cos[0.66995358132 + 190.665178189 * tau] + 1.38e-9 * cos[2.80728175526 + 82.8583534146 * tau] + 1.44e-9 * cos[5.52229258454 + 14.0146456805 * tau] + 1.54e-9 * cos[1.86865302773 + 331.3215390738 * tau] + 1.22e-9 * cos[1.90676379802 + 418.2608035978 * tau] + 1.23e-9 * cos[0.05442220184 + 944.9828232758 * tau] + 1.40e-9 * cos[1.57962199954 + 75.7448064138 * tau] + 1.46e-9 * cos[2.53359213478 + 256.5399405065 * tau] + 1.26e-9 * cos[5.59769497652 + 179.3588454942 * tau] + 1.34e-9 * cos[1.29277093566 + 456.3938392356 * tau] + 1.55e-9 * cos[2.28260574227 + 142.1408335931 * tau] + 1.87e-9 * cos[4.96121139073 + 1589.0728952838 * tau] + 1.48e-9 * cos[4.85696640135 + 442.7517005706 * tau] + 1.56e-9 * cos[2.19452173251 + 274.0660483248 * tau] + 1.45e-9 * cos[2.13015521881 + 2042.4977891028 * tau] + 1.46e-9 * cos[5.08949604858 + 286.596221297 * tau] + 1.66e-9 * cos[5.50438043692 + 662.531203563 * tau] + 1.89e-9 * cos[4.8079103997 + 641.1211265914 * tau] + 1.53e-9 * cos[5.58405022784 + 252.0865223816 * tau] + 1.61e-9 * cos[5.65988283675 + 343.2185725996 * tau] + 1.78e-9 * cos[6.24797160202 + 316.3918696566 * tau] + 1.57e-9 * cos[4.42530429545 + 6206.8097787158 * tau] + 1.57e-9 * cos[1.02419759383 + 6283.0758499914 * tau] + 1.91e-9 * cos[0.37651439206 + 31.019488637 * tau] + 1.60e-9 * cos[4.23490438166 + 487.3651437628 * tau] + 1.62e-9 * cos[0.72021213236 + 11.0457002639 * tau] + 1.64e-9 * cos[4.14700645532 + 77.2292791221 * tau] + 1.72e-9 * cos[5.63262770743 + 7.1135470008 * tau] + 2.15e-9 * cos[3.78391259001 + 103.0927742186 * tau] + 1.93e-9 * cos[0.53675942386 + 60.7669528868 * tau] + 2.36e-9 * cos[3.12464145036 + 563.6312150384 * tau] + 1.90e-9 * cos[0.29169556516 + 291.7040307277 * tau] + 2.23e-9 * cos[5.52392277606 + 187.6962327724 * tau] + 2.32e-9 * cos[3.92583619589 + 1512.8068240082 * tau] + 2.00e-9 * cos[2.35215465744 + 605.9570363702 * tau] + 2.19e-9 * cos[1.3521271256 + 216.9224321604 * tau] + 2.17e-9 * cos[4.69210602828 + 406.1031376411 * tau] + 2.17e-9 * cos[2.93214905312 + 27.0873353739 * tau] + 2.62e-9 * cos[3.08384135298 + 6.592282139 * tau] + 2.38e-9 * cos[2.1852891655 + 219.891377577 * tau] + 2.79e-9 * cos[1.62614865256 + 294.6729761443 * tau] + 2.40e-9 * cos[4.13447692727 + 0.5212648618 * tau] + 2.30e-9 * cos[5.76570492457 + 12.5301729722 * tau] + 2.32e-9 * cos[0.37399822852 + 490.0734567485 * tau] + 2.35e-9 * cos[0.73189197665 + 10213.285546211 * tau] + 2.45e-9 * cos[0.64173616273 + 419.4846438752 * tau] + 2.47e-9 * cos[0.61040148804 + 186.2117600641 * tau] + 2.69e-9 * cos[5.72024180826 + 36.7604375141 * tau] + 3.20e-9 * cos[3.58085653166 + 45.2465826386 * tau] + 2.79e-9 * cos[0.25689162963 + 39.5056337615 * tau] + 2.98e-9 * cos[2.26790695187 + 639.897286314 * tau] + 3.02e-9 * cos[3.4570630628 + 100.3844612329 * tau] + 4.27e-9 * cos[5.15774894584 + 31.5407534988 * tau] + 3.41e-9 * cos[4.7919405168 + 110.2063212194 * tau] + 3.79e-9 * cos[2.16947487177 + 105.4922706636 * tau] + 3.54e-9 * cos[4.21526988674 + 0.9632078465 * tau] + 3.75e-9 * cos[0.15223869165 + 255.0554677982 * tau] + 3.87e-9 * cos[1.68488418788 + 183.2428146475 * tau] + 4.71e-9 * cos[0.92632922375 + 44.7253177768 * tau] + 4.46e-9 * cos[1.19167306357 + 180.2738692309 * tau] + 4.21e-9 * cos[3.24496387889 + 416.7763308895 * tau] + 4.58e-9 * cos[5.25325523118 + 80.7194894005 * tau] + 5.10e-9 * cos[1.3447857974 + 258.0244132148 * tau] + 4.75e-9 * cos[5.80072248338 + 7.4223635415 * tau] + 5.98e-9 * cos[5.39946724188 + 41.0537969446 * tau] + 5.96e-9 * cos[0.62390100715 + 35.212274331 * tau] + 5.84e-9 * cos[1.01405548136 + 536.8045120954 * tau] + 6.66e-9 * cos[1.39457824982 + 84.3428261229 * tau] + 7.66e-9 * cos[4.03399506246 + 522.5774180938 * tau] + 7.20e-9 * cos[0.0065100755 + 460.5384408198 * tau] + 7.19e-9 * cos[1.43795191278 + 8.0767548473 * tau] + 7.37e-9 * cos[3.40060492866 + 446.3113468182 * tau] + 7.95e-9 * cos[5.80519741659 + 149.5631971346 * tau] + 8.95e-9 * cos[0.2512386962 + 30.7106720963 * tau] + 7.77e-9 * cos[0.00175975222 + 218.4069048687 * tau] + 1.111e-8 * cos[0.65175024456 + 146.594251718 * tau] + 9.38e-9 * cos[2.43648356625 + 567.8240007324 * tau] + 9.41e-9 * cos[1.02993053785 + 221.3758502853 * tau] + 1.020e-8 * cos[0.98226686775 + 143.6253063014 * tau] + 9.63e-9 * cos[4.31733242907 + 151.0476698429 * tau] + 9.90e-9 * cos[3.41514319052 + 144.1465711632 * tau] + 9.99e-9 * cos[2.47463873948 + 312.1990839626 * tau] + 1.015e-8 * cos[0.53439848924 + 129.9194771616 * tau] + 1.207e-8 * cos[1.84658687853 + 251.4321310758 * tau] + 1.569e-8 * cos[2.43405967107 + 38.2449102224 * tau] + 1.192e-8 * cos[0.87275514483 + 42.3258213318 * tau] + 1.504e-8 * cos[5.80298577327 + 46.2097904851 * tau] + 1.487e-8 * cos[0.20211121607 + 30.0562807905 * tau] + 1.297e-8 * cos[5.06156596196 + 33.9402499438 * tau] + 1.575e-8 * cos[3.58964541604 + 38.0211610532 * tau] + 1.366e-8 * cos[1.52026779665 + 68.8437077341 * tau] + 1.387e-8 * cos[2.46149266117 + 138.5174968707 * tau] + 1.437e-8 * cos[1.48678704605 + 135.5485514541 * tau] + 1.595e-8 * cos[3.05266110075 + 38.3936680687 * tau] + 1.785e-8 * cos[2.42154818096 + 388.4651552382 * tau] + 1.595e-8 * cos[2.97147156093 + 37.8724032069 * tau] + 1.855e-8 * cos[5.61635630213 + 35.685355083 * tau] + 1.705e-8 * cos[6.13551142362 + 181.7583419392 * tau] + 1.814e-8 * cos[3.64699555185 + 220.4126424388 * tau] + 1.811e-8 * cos[0.40456996647 + 40.5807161926 * tau] + 2.180e-8 * cos[0.70099749844 + 206.1855484372 * tau] + 1.963e-8 * cos[6.01909114576 + 44.070926471 * tau] + 1.981e-8 * cos[0.46617960831 + 184.7272873558 * tau] + 2.342e-8 * cos[0.81387240947 + 4.192785694 * tau] + 2.502e-8 * cos[0.8598790435 + 106.9767433719 * tau] + 2.328e-8 * cos[5.19779918719 + 72.0732855816 * tau] + 2.537e-8 * cos[2.18628045751 + 454.9093665273 * tau] + 2.606e-8 * cos[1.20956732792 + 451.9404211107 * tau] + 3.762e-8 * cos[4.83940791709 + 491.5579294568 * tau] + 4.433e-8 * cos[1.23386935925 + 38.1812197476 * tau] + 4.440e-8 * cos[4.78977105547 + 38.084851528 * tau] + 4.710e-8 * cos[3.50929350767 + 38.6543004996 * tau] + 4.131e-8 * cos[4.40682554313 + 37.1698277913 * tau] + 4.091e-8 * cos[1.61787956945 + 39.0962434843 * tau] + 3.950e-8 * cos[2.74104636753 + 350.3321196004 * tau] + 4.429e-8 * cos[5.65995321659 + 98.8999885246 * tau] + 4.076e-8 * cos[6.00252170354 + 145.1097790097 * tau] + 4.119e-8 * cos[1.72779509865 + 28.5718080822 * tau] + 4.749e-8 * cos[2.51605725604 + 37.611770776 * tau] + 5.795e-8 * cos[5.07516716087 + 415.2918581812 * tau] + 4.289e-8 * cos[4.19647392821 + 47.6942631934 * tau] + 5.006e-8 * cos[4.60815664851 + 1059.3819301892 * tau] + 4.539e-8 * cos[5.581820987 + 175.1660598002 * tau] + 6.251e-8 * cos[2.41678769385 + 152.5321425512 * tau] + 6.391e-8 * cos[5.8464610106 + 148.0787244263 * tau] + 4.777e-8 * cos[0.75210194972 + 5.9378908332 * tau] + 6.169e-8 * cos[3.62098109648 + 983.1158589136 * tau] + 6.021e-8 * cos[6.20514068152 + 115.8835796217 * tau] + 7.087e-8 * cos[0.12535040656 + 109.9456887885 * tau] + 7.386e-8 * cos[3.00684933642 + 426.598190876 * tau] + 9.728e-8 * cos[5.30069593532 + 32.1951448046 * tau] + 9.664e-8 * cos[0.22455797403 + 79.2350166922 * tau] + 9.620e-8 * cos[0.03944255108 + 70.3281804424 * tau] + 1.1084e-7 * cos[5.88898793049 + 108.4612160802 * tau] + 3.0637e-7 * cos[0.93620571932 + 42.5864537627 * tau] + 4.1822e-7 * cos[5.94832001477 + 112.9146342051 * tau] + 4.1931e-7 * cos[5.41783694467 + 111.4301614968 * tau] + 6.7971e-7 * cos[4.66970781659 + 71.8126531507 * tau] + 5.1257e-7 * cos[1.95121181203 + 4.4534181249 * tau] + 9.8530e-7 * cos[4.16774829927 + 33.6796175129 * tau] + 0.00000140455 * cos[3.52969556376 + 137.0330241624 * tau] + 0.0000020559 * cos[4.25652348864 + 529.6909650946 * tau] + 0.00000279964 * cos[1.68165309699 + 77.7505439839 * tau] + 0.00000261647 * cos[3.76722704749 + 213.299095438 * tau] + 0.00000254333 * cos[3.27120499438 + 453.424893819 * tau] + 0.0000040183 * cos[4.16883287237 + 114.3991069134 * tau] + 0.00000588805 * cos[3.18655882497 + 2.9689454166 * tau] + 0.00000594878 * cos[2.12892708114 + 41.1019810544 * tau] + 0.00000605767 * cos[2.80246601405 + 73.297125859 * tau] + 0.00001015137 * cos[3.21561035875 + 35.1640902212 * tau] + 0.0000196754 * cos[4.37778195768 + 1.4844727083 * tau] + 0.00001999919 * cos[1.50998669505 + 74.7815985673 * tau] + 0.00015448133 * cos[3.50877080888 + 39.6175083461 * tau] + 0.0001535549 * cos[2.52123799481 + 36.6485629295 * tau] + 0.00027623609 * cos[0.0 + 0.0 * tau] + 0.00027780087 * cos[5.91271882843 + 76.2660712756 * tau] + 0.03088622933 * cos[1.44104372626 + 38.1330356378 * tau]; B1 = 8.4e-10 * cos[5.51669920239 + 8.0767548473 * tau] + 8.2e-10 * cos[3.18401661435 + 42.3258213318 * tau] + 1.11e-9 * cos[3.5622646377 + 181.7583419392 * tau] + 8.4e-10 * cos[1.35269684746 + 33.9402499438 * tau] + 9.3e-10 * cos[4.64183693718 + 106.9767433719 * tau] + 1.14e-9 * cos[4.37452353441 + 388.4651552382 * tau] + 9.9e-10 * cos[5.19920708255 + 135.5485514541 * tau] + 1.17e-9 * cos[5.35267669439 + 38.3936680687 * tau] + 1.18e-9 * cos[5.27114846878 + 37.8724032069 * tau] + 9.1e-10 * cos[2.38273591235 + 30.0562807905 * tau] + 1.24e-9 * cos[5.85160407534 + 1059.3819301892 * tau] + 1.27e-9 * cos[0.17176461812 + 138.5174968707 * tau] + 1.28e-9 * cos[1.51108932026 + 221.3758502853 * tau] + 1.25e-9 * cos[3.42713474801 + 251.4321310758 * tau] + 1.15e-9 * cos[4.73412534395 + 38.2449102224 * tau] + 1.16e-9 * cos[5.8897111359 + 38.0211610532 * tau] + 1.59e-9 * cos[3.46955908364 + 145.1097790097 * tau] + 1.23e-9 * cos[1.98250467171 + 46.2097904851 * tau] + 1.47e-9 * cos[2.10574339673 + 44.070926471 * tau] + 1.66e-9 * cos[1.16793600058 + 72.0732855816 * tau] + 1.98e-9 * cos[2.3077585288 + 146.594251718 * tau] + 1.79e-9 * cos[4.91458426239 + 451.9404211107 * tau] + 1.86e-9 * cos[3.24302117645 + 4.192785694 * tau] + 2.26e-9 * cos[6.17710997862 + 454.9093665273 * tau] + 2.05e-9 * cos[5.5393573202 + 536.8045120954 * tau] + 2.03e-9 * cos[6.02944475303 + 149.5631971346 * tau] + 3.19e-9 * cos[1.34097217817 + 184.7272873558 * tau] + 2.65e-9 * cos[5.26569823181 + 446.3113468182 * tau] + 2.98e-9 * cos[4.00532631258 + 39.0962434843 * tau] + 2.81e-9 * cos[3.81657117512 + 5.9378908332 * tau] + 2.74e-9 * cos[6.11504724934 + 522.5774180938 * tau] + 2.87e-9 * cos[2.183516518 + 491.5579294568 * tau] + 3.10e-9 * cos[0.51297445145 + 37.1698277913 * tau] + 4.14e-9 * cos[1.03543720726 + 70.3281804424 * tau] + 3.31e-9 * cos[4.48858774501 + 460.5384408198 * tau] + 3.41e-9 * cos[3.8726546907 + 35.685355083 * tau] + 3.28e-9 * cos[0.89613145346 + 38.084851528 * tau] + 3.27e-9 * cos[3.62341506247 + 38.1812197476 * tau] + 4.56e-9 * cos[3.19611413854 + 108.4612160802 * tau] + 3.66e-9 * cos[2.3975258536 + 129.9194771616 * tau] + 3.81e-9 * cos[6.11910193382 + 426.598190876 * tau] + 3.71e-9 * cos[2.74239666472 + 415.2918581812 * tau] + 4.49e-9 * cos[1.62191691011 + 144.1465711632 * tau] + 5.66e-9 * cos[1.80111775954 + 175.1660598002 * tau] + 5.33e-9 * cos[1.3478767794 + 47.6942631934 * tau] + 5.63e-9 * cos[1.84072805158 + 983.1158589136 * tau] + 7.16e-9 * cos[0.5578184701 + 350.3321196004 * tau] + 5.39e-9 * cos[2.06690307827 + 40.5807161926 * tau] + 5.37e-9 * cos[1.95986772922 + 220.4126424388 * tau] + 5.31e-9 * cos[2.969915305 + 98.8999885246 * tau] + 6.40e-9 * cos[2.46161252327 + 115.8835796217 * tau] + 7.26e-9 * cos[4.13829519132 + 28.5718080822 * tau] + 6.24e-9 * cos[2.79466003645 + 79.2350166922 * tau] + 6.90e-9 * cos[1.57381082857 + 38.6543004996 * tau] + 9.25e-9 * cos[2.40329074 + 206.1855484372 * tau] + 9.36e-9 * cos[1.1705498394 + 148.0787244263 * tau] + 9.44e-9 * cos[2.2177777205 + 109.9456887885 * tau] + 8.71e-9 * cos[4.81775882249 + 152.5321425512 * tau] + 1.150e-8 * cos[4.30568700024 + 37.611770776 * tau] + 1.989e-8 * cos[3.96637567224 + 42.5864537627 * tau] + 2.698e-8 * cos[1.92435531119 + 112.9146342051 * tau] + 2.957e-8 * cos[4.7753287121 + 4.4534181249 * tau] + 3.694e-8 * cos[0.94837702528 + 33.6796175129 * tau] + 4.383e-8 * cos[6.14147099615 + 71.8126531507 * tau] + 4.416e-8 * cos[1.25478204684 + 111.4301614968 * tau] + 1.0502e-7 * cos[1.20336443465 + 137.0330241624 * tau] + 1.2951e-7 * cos[6.17709713139 + 529.6909650946 * tau] + 1.8747e-7 * cos[0.90426522185 + 453.424893819 * tau] + 1.6949e-7 * cos[4.26463671859 + 77.7505439839 * tau] + 2.6399e-7 * cos[5.21566335936 + 213.299095438 * tau] + 3.7104e-7 * cos[5.75999349109 + 2.9689454166 * tau] + 4.2568e-7 * cos[0.30721737205 + 114.3991069134 * tau] + 3.7273e-7 * cos[4.89476629246 + 41.1019810544 * tau] + 5.1899e-7 * cos[5.05221791891 + 73.297125859 * tau] + 7.0285e-7 * cos[6.18782052139 + 35.1640902212 * tau] + 0.00000136448 * cos[0.47764957338 + 1.4844727083 * tau] + 0.00000147903 * cos[3.85766231348 + 74.7815985673 * tau] + 0.00001073298 * cos[6.08054240712 + 39.6175083461 * tau] + 0.000014333 * cos[3.14159265359 + 0.0 * tau] + 0.00001385733 * cos[4.82555548018 + 36.6485629295 * tau] + 0.0000180312 * cos[1.97576485377 + 76.2660712756 * tau] + 0.00227279214 * cos[3.8079308987 + 38.1330356378 * tau]; B2 = 1.04e-9 * cos[6.12597614674 + 144.1465711632 * tau] + 8.5e-10 * cos[0.43712705655 + 4.4534181249 * tau] + 1.16e-9 * cos[3.63838544843 + 112.9146342051 * tau] + 1.53e-9 * cos[2.87376446497 + 111.4301614968 * tau] + 1.66e-9 * cos[1.24877330835 + 220.4126424388 * tau] + 1.58e-9 * cos[4.63868656467 + 206.1855484372 * tau] + 2.74e-9 * cos[2.86650141006 + 33.6796175129 * tau] + 3.45e-9 * cos[1.80085651594 + 71.8126531507 * tau] + 4.82e-9 * cos[5.63056237954 + 137.0330241624 * tau] + 4.69e-9 * cos[5.87866293959 + 77.7505439839 * tau] + 4.96e-9 * cos[0.26552533921 + 41.1019810544 * tau] + 7.79e-9 * cos[2.07081431472 + 529.6909650946 * tau] + 7.66e-9 * cos[5.45279753249 + 453.424893819 * tau] + 1.223e-8 * cos[1.2311604303 + 2.9689454166 * tau] + 1.518e-8 * cos[0.37600329684 + 213.299095438 * tau] + 2.649e-8 * cos[0.65061457644 + 73.297125859 * tau] + 3.502e-8 * cos[2.39142672984 + 114.3991069134 * tau] + 4.309e-8 * cos[1.68126737666 + 35.1640902212 * tau] + 5.800e-8 * cos[2.25341847151 + 1.4844727083 * tau] + 6.472e-8 * cos[5.60736756575 + 74.7815985673 * tau] + 2.9915e-7 * cos[1.60671721861 + 39.6175083461 * tau] + 5.8646e-7 * cos[3.14159265359 + 0.0 * tau] + 7.1523e-7 * cos[0.4547668858 + 36.6485629295 * tau] + 7.8815e-7 * cos[3.62705474219 + 76.2660712756 * tau] + 0.00009690766 * cos[5.57123750291 + 38.1330356378 * tau]; B3 = 1.57e-9 * cos[3.9419536961 + 1.4844727083 * tau] + 1.55e-9 * cos[3.62376309338 + 35.1640902212 * tau] + 1.85e-9 * cos[1.04913770083 + 74.7815985673 * tau] + 2.42e-9 * cos[4.52650721578 + 114.3991069134 * tau] + 5.38e-9 * cos[3.21934211365 + 39.6175083461 * tau] + 2.393e-8 * cos[0.0 + 0.0 * tau] + 2.029e-8 * cos[5.33364321342 + 76.2660712756 * tau] + 2.274e-8 * cos[2.36805657126 + 36.6485629295 * tau] + 0.00000273423 * cos[1.01688979072 + 38.1330356378 * tau]; B4 = 5.728e-8 * cos[2.66872693322 + 38.1330356378 * tau]; B5 = 1.13e-9 * cos[4.70646877989 + 38.1330356378 * tau]; R0 = 2.231e-8 * cos[1.45038594906 + 196.5067008026 * tau] + 2.266e-8 * cos[5.91286000054 + 3.4902102784 * tau] + 2.820e-8 * cos[6.18522693724 + 556.5176680376 * tau] + 3.011e-8 * cos[0.16359500858 + 54.2865453324 * tau] + 2.339e-8 * cos[0.75318738767 + 478.8153081635 * tau] + 2.975e-8 * cos[0.48272389481 + 1052.4808315095 * tau] + 2.289e-8 * cos[1.18497528002 + 1552.4243323543 * tau] + 3.041e-8 * cos[5.55577674116 + 674.8007441043 * tau] + 2.491e-8 * cos[1.7023635707 + 445.3481389717 * tau] + 2.260e-8 * cos[2.3540491366 + 659.6104422562 * tau] + 2.203e-8 * cos[2.23336308907 + 481.2629887183 * tau] + 2.231e-8 * cos[4.48841493844 + 4.1446015842 * tau] + 2.884e-8 * cos[2.97813466834 + 383.0967133766 * tau] + 2.998e-8 * cos[1.097557153 + 1964.7472451189 * tau] + 2.718e-8 * cos[1.01823841209 + 215.9592243139 * tau] + 2.598e-8 * cos[4.82643304253 + 384.5811860849 * tau] + 2.379e-8 * cos[6.17876088396 + 467.6519878206 * tau] + 2.817e-8 * cos[2.73562306571 + 16.6747745564 * tau] + 2.392e-8 * cos[3.62837597194 + 439.1977998174 * tau] + 2.252e-8 * cos[0.87483094907 + 61.0275853177 * tau] + 3.067e-8 * cos[2.22206306288 + 248.4631856592 * tau] + 2.897e-8 * cos[0.54747024257 + 20350.3050211464 * tau] + 3.085e-8 * cos[5.84605938859 + 1192.2221686576 * tau] + 3.112e-8 * cos[0.89712836583 + 314.9073969483 * tau] + 2.319e-8 * cos[6.0551428147 + 525.7588118315 * tau] + 2.291e-8 * cos[5.81534758547 + 246.9787129509 * tau] + 2.691e-8 * cos[3.20679023131 + 463.5073862364 * tau] + 2.798e-8 * cos[3.06162629894 + 419.7452763061 * tau] + 2.493e-8 * cos[6.10541658597 + 1225.9499702803 * tau] + 2.919e-8 * cos[4.75889516601 + 1511.3223512999 * tau] + 2.511e-8 * cos[0.99467349084 + 266.1011680621 * tau] + 2.340e-8 * cos[4.44862573253 + 490.8071699314 * tau] + 2.323e-8 * cos[2.88799980853 + 533.6231183577 * tau] + 3.117e-8 * cos[2.76268894894 + 1473.1893156621 * tau] + 2.344e-8 * cos[1.83547256266 + 492.3086889822 * tau] + 3.033e-8 * cos[0.6715748869 + 292.4859280204 * tau] + 3.006e-8 * cos[0.9304890948 + 21.9795259432 * tau] + 2.537e-8 * cos[5.66681769885 + 21.1494445407 * tau] + 3.006e-8 * cos[3.66877796077 + 1476.1582610787 * tau] + 2.371e-8 * cos[4.79963943424 + 271.145287018 * tau] + 2.327e-8 * cos[4.10421417326 + 70.1157321213 * tau] + 3.148e-8 * cos[4.62079057738 + 233.533516242 * tau] + 3.240e-8 * cos[2.46676155925 + 1016.7954764265 * tau] + 2.506e-8 * cos[4.84043333582 + 943.4983505675 * tau] + 3.262e-8 * cos[0.01501002027 + 1545.3107853535 * tau] + 2.956e-8 * cos[5.22962139507 + 199.8538987291 * tau] + 2.736e-8 * cos[5.74320864965 + 1167.8431462694 * tau] + 2.415e-8 * cos[0.6944692367 + 489.5521918867 * tau] + 3.301e-8 * cos[5.83023910521 + 51.7751743028 * tau] + 3.340e-8 * cos[1.36950315448 + 384.2723695442 * tau] + 2.712e-8 * cos[5.79983621237 + 1587.5884225755 * tau] + 2.858e-8 * cos[2.36621678719 + 32.5039613453 * tau] + 3.175e-8 * cos[2.32600231924 + 339.2864193365 * tau] + 2.543e-8 * cos[5.30426930256 + 419.4846438752 * tau] + 3.300e-8 * cos[0.94221473935 + 58.1705144857 * tau] + 2.907e-8 * cos[5.58085498481 + 597.5714649822 * tau] + 2.430e-8 * cos[2.34595493263 + 450.4559484024 * tau] + 3.169e-8 * cos[5.84871429991 + 1049.5118860929 * tau] + 2.623e-8 * cos[0.54340876464 + 1586.1039498672 * tau] + 3.411e-8 * cos[2.24137878065 + 734.4557312983 * tau] + 2.728e-8 * cos[5.89052930055 + 213.9534867438 * tau] + 2.738e-8 * cos[4.75405645015 + 151.260118164 * tau] + 3.061e-8 * cos[5.05044834864 + 378.6432952517 * tau] + 2.648e-8 * cos[0.60243117586 + 70.5888128733 * tau] + 3.329e-8 * cos[2.71693827722 + 171.021458216 * tau] + 2.646e-8 * cos[3.64828423565 + 335.7749571987 * tau] + 2.971e-8 * cos[1.27359129352 + 530.914805372 * tau] + 2.553e-8 * cos[4.85437812287 + 488.8496164711 * tau] + 3.062e-8 * cos[4.88018345098 + 227.9681324243 * tau] + 2.812e-8 * cos[3.7424659412 + 2.0057375701 * tau] + 3.138e-8 * cos[4.50785484172 + 461.7622810972 * tau] + 3.143e-8 * cos[5.33170343283 + 1542.3418399369 * tau] + 2.589e-8 * cos[0.79196093766 + 1228.9189156969 * tau] + 2.490e-8 * cos[0.15301603966 + 78187.44335344699 * tau] + 3.095e-8 * cos[4.01459691667 + 1615.8995982268 * tau] + 3.025e-8 * cos[5.51446170055 + 369.4545747116 * tau] + 3.034e-8 * cos[4.48979734509 + 560.7104537316 * tau] + 2.633e-8 * cos[1.63640090603 + 170.7126416753 * tau] + 2.573e-8 * cos[2.01267457287 + 1514.2912967165 * tau] + 3.426e-8 * cos[4.73955481174 + 1050.9963588012 * tau] + 2.643e-8 * cos[5.24970673655 + 249.9476583675 * tau] + 2.763e-8 * cos[4.01095972177 + 448.9714756941 * tau] + 2.643e-8 * cos[1.99093797444 + 470.2172884544 * tau] + 2.779e-8 * cos[3.74527347899 + 494.0056100116 * tau] + 2.752e-8 * cos[3.08268180744 + 853.196381752 * tau] + 3.139e-8 * cos[5.9913425471 + 570.7447620392 * tau] + 2.913e-8 * cos[4.83296711477 + 515.936951845 * tau] + 3.090e-8 * cos[2.49453093252 + 14.6690369863 * tau] + 3.028e-8 * cos[3.75501312393 + 511.5954083047 * tau] + 2.808e-8 * cos[5.77870303237 + 1024.217839968 * tau] + 2.699e-8 * cos[5.4259779465 + 925.2696673336 * tau] + 3.045e-8 * cos[3.33515866438 + 921.0768816396 * tau] + 2.803e-8 * cos[1.23584865903 + 6643.0918177618 * tau] + 2.901e-8 * cos[3.3392480023 + 515.463871093 * tau] + 2.629e-8 * cos[2.0982440745 + 2713.4145640538 * tau] + 2.915e-8 * cos[1.4377362589 + 6604.958782124 * tau] + 2.915e-8 * cos[2.63627684599 + 6681.2248533996 * tau] + 3.341e-8 * cos[2.91360557418 + 304.2342036999 * tau] + 3.172e-8 * cos[1.11135762382 + 260.9933586314 * tau] + 3.742e-8 * cos[2.03372773652 + 8.5980197091 * tau] + 2.872e-8 * cos[5.00345974886 + 252.0865223816 * tau] + 3.757e-8 * cos[3.88223872147 + 495.702531041 * tau] + 3.489e-8 * cos[3.82213189319 + 625.9945152181 * tau] + 3.269e-8 * cos[0.4311977852 + 496.9745554282 * tau] + 2.680e-8 * cos[4.19379121323 + 13.184564278 * tau] + 2.847e-8 * cos[5.22951186538 + 661.0467308547 * tau] + 2.723e-8 * cos[4.37517047024 + 15.1903018481 * tau] + 2.702e-8 * cos[3.72061244391 + 946.4672959841 * tau] + 2.884e-8 * cos[4.05452029151 + 1.2238402774 * tau] + 2.727e-8 * cos[3.28234198801 + 483.4811746095 * tau] + 3.847e-8 * cos[2.40982343643 + 26086.4186688659 * tau] + 2.752e-8 * cos[4.53621078796 + 6206.8097787158 * tau] + 3.748e-8 * cos[4.84009347869 + 341.7340998913 * tau] + 3.226e-8 * cos[4.76711354367 + 6241.973868937 * tau] + 2.761e-8 * cos[4.05534163807 + 6283.0758499914 * tau] + 2.990e-8 * cos[5.62911695857 + 140.6563608848 * tau] + 2.776e-8 * cos[5.0182159483 + 8.9068362498 * tau] + 2.768e-8 * cos[4.38396269009 + 391.4341006548 * tau] + 3.643e-8 * cos[5.11977873355 + 452.2010535416 * tau] + 2.885e-8 * cos[6.01130634957 + 1097.514965827 * tau] + 3.552e-8 * cos[3.07180917863 + 240.3864308119 * tau] + 3.746e-8 * cos[0.33859914037 + 913.9633346388 * tau] + 3.276e-8 * cos[5.58544609667 + 950.920714109 * tau] + 3.276e-8 * cos[1.24440460327 + 874.6546428334 * tau] + 3.313e-8 * cos[2.70308129756 + 604.4725636619 * tau] + 3.110e-8 * cos[3.09203517638 + 235.933012687 * tau] + 3.905e-8 * cos[1.87748122254 + 1158.2819187138 * tau] + 2.994e-8 * cos[2.58599359402 + 178.086821107 * tau] + 2.966e-8 * cos[5.29808076929 + 31.9826964835 * tau] + 3.276e-8 * cos[4.26765608367 + 1189.3014073508 * tau] + 2.937e-8 * cos[0.6046967123 + 990.2294059144 * tau] + 3.605e-8 * cos[4.89955108152 + 1043.8828118004 * tau] + 3.030e-8 * cos[1.77996261146 + 156489.28581380738 * tau] + 3.312e-8 * cos[0.67710158807 + 977.4867846211 * tau] + 3.403e-8 * cos[1.10932483984 + 987.3086446076 * tau] + 3.863e-8 * cos[5.4604492857 + 332.8060117821 * tau] + 3.013e-8 * cos[0.92957285991 + 1515.7757694248 * tau] + 2.984e-8 * cos[1.8178065989 + 175.1178756904 * tau] + 3.294e-8 * cos[2.52694043155 + 1692.1656695024 * tau] + 2.992e-8 * cos[5.01304660316 + 175.21424391 * tau] + 3.288e-8 * cos[3.14692435376 + 347.3631741838 * tau] + 3.361e-8 * cos[4.31837298696 + 492.0791943186 * tau] + 3.330e-8 * cos[6.12470287875 + 10172.1835651566 * tau] + 2.959e-8 * cos[1.23012121982 + 2500.1154686158 * tau] + 3.837e-8 * cos[1.48519528444 + 10098.8864392976 * tau] + 3.650e-8 * cos[3.59798316565 + 192.8040422031 * tau] + 3.725e-8 * cos[1.52448613082 + 1058.109905802 * tau] + 3.350e-8 * cos[5.27474671017 + 80.7194894005 * tau] + 4.112e-8 * cos[0.90309319273 + 1087.6931058405 * tau] + 3.155e-8 * cos[3.40776789576 + 39.7293829307 * tau] + 4.175e-8 * cos[4.24327707038 + 381.6122406683 * tau] + 3.171e-8 * cos[4.49510885866 + 1439.2490657183 * tau] + 3.277e-8 * cos[2.71815883511 + 980.146913497 * tau] + 3.297e-8 * cos[5.46677712589 + 1442.2180111349 * tau] + 3.305e-8 * cos[1.4166687729 + 562.1467423301 * tau] + 3.383e-8 * cos[5.61838426864 + 699.2279506023 * tau] + 4.349e-8 * cos[0.07531141761 + 20426.571092422 * tau] + 3.427e-8 * cos[0.27003884843 + 2389.9091473964 * tau] + 3.258e-8 * cos[4.65131076542 + 696.2590051857 * tau] + 3.116e-8 * cos[5.2015916684 + 449.232108125 * tau] + 3.159e-8 * cos[1.04693380342 + 703.3725521865 * tau] + 4.373e-8 * cos[1.86209663434 + 73.5577582899 * tau] + 4.020e-8 * cos[2.69209723289 + 1439.4615140394 * tau] + 3.833e-8 * cos[0.87811168267 + 52.6901980395 * tau] + 3.917e-8 * cos[5.67905809516 + 1131.1945833399 * tau] + 3.804e-8 * cos[5.34897033476 + 523.7530742614 * tau] + 4.063e-8 * cos[0.0619283857 + 6168.676743078 * tau] + 4.428e-8 * cos[0.06728869735 + 491.2972970259 * tau] + 3.213e-8 * cos[2.97105590703 + 20386.95358407589 * tau] + 3.275e-8 * cos[0.98533127454 + 1344.7543112088 * tau] + 4.055e-8 * cos[1.34004288978 + 1054.9285120643 * tau] + 4.020e-8 * cos[0.07393243012 + 52136.18877480229 * tau] + 4.168e-8 * cos[5.39993754642 + 236.5024616586 * tau] + 4.431e-8 * cos[2.486474378 + 549.7284439425 * tau] + 3.934e-8 * cos[0.26992234338 + 1655.5171065729 * tau] + 4.639e-8 * cos[6.24618220184 + 821.3949958223 * tau] + 3.345e-8 * cos[3.94392179077 + 20389.92252949249 * tau] + 3.636e-8 * cos[5.31068934607 + 141.4864422873 * tau] + 3.694e-8 * cos[1.03218855688 + 481.4754370394 * tau] + 4.084e-8 * cos[3.50290269471 + 23.9059416362 * tau] + 4.084e-8 * cos[0.83813879869 + 52.3601296394 * tau] + 3.945e-8 * cos[3.60558877407 + 1589.0728952838 * tau] + 3.903e-8 * cos[5.31609723466 + 408.1783111804 * tau] + 3.781e-8 * cos[5.58125317044 + 1652.5481611563 * tau] + 3.788e-8 * cos[3.3222199584 + 3140.0127549298 * tau] + 3.853e-8 * cos[0.61321572401 + 12526.5341916367 * tau] + 4.513e-8 * cos[4.3892700249 + 425.1137181677 * tau] + 3.416e-8 * cos[0.68584132933 + 305.0855369618 * tau] + 3.965e-8 * cos[1.0548498824 + 75.7448064138 * tau] + 3.672e-8 * cos[2.87489628704 + 497.49582029 * tau] + 3.702e-8 * cos[2.08952561657 + 491.036664595 * tau] + 4.646e-8 * cos[5.71392540144 + 321.7603115182 * tau] + 3.639e-8 * cos[1.25605018211 + 2603.2082428344 * tau] + 4.796e-8 * cos[6.21059766333 + 491.8185618877 * tau] + 3.451e-8 * cos[2.97409317928 + 499.6346843041 * tau] + 4.234e-8 * cos[5.25112033465 + 194.2885149114 * tau] + 3.722e-8 * cos[0.27433061822 + 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69.3649725959 * tau] + 1.9072e-7 * cos[3.70882976684 + 164.1203595363 * tau] + 2.2628e-7 * cos[0.27205783433 + 666.723989257 * tau] + 1.9426e-7 * cos[2.04829970231 + 5.4166259714 * tau] + 2.0370e-7 * cos[1.86508317889 + 171.2339065371 * tau] + 2.0022e-7 * cos[4.99276451168 + 179.0982130633 * tau] + 1.6972e-7 * cos[3.0510514994 + 220.4126424388 * tau] + 2.2087e-7 * cos[4.81594755148 + 84.3428261229 * tau] + 2.3295e-7 * cos[5.93767742799 + 316.3918696566 * tau] + 1.8107e-7 * cos[5.35129342595 + 244.318584075 * tau] + 2.5389e-7 * cos[4.74025836522 + 1474.6737883704 * tau] + 2.1613e-7 * cos[3.32354204724 + 119.5069163441 * tau] + 2.5688e-7 * cos[2.00512719767 + 439.782755154 * tau] + 1.9640e-7 * cos[6.15701741238 + 35.212274331 * tau] + 1.9111e-7 * cos[2.59694457001 + 2080.6308247406 * tau] + 2.5496e-7 * cos[2.43810518614 + 351.8165923087 * tau] + 2.6520e-7 * cos[3.61427038042 + 367.9701020033 * tau] + 2.2885e-7 * cos[1.58977064672 + 189.3931538018 * tau] + 2.2498e-7 * cos[4.03487494425 + 19.1224551112 * tau] + 2.2355e-7 * cos[3.92220883921 + 5.1078094307 * tau] + 2.6333e-7 * cos[3.01556008632 + 365.0011565867 * tau] + 2.1942e-7 * cos[3.48416607882 + 69.1525242748 * tau] + 2.2632e-7 * cos[4.72511111292 + 81.3738807063 * tau] + 2.4056e-7 * cos[1.02801635413 + 41.7563723602 * tau] + 3.1464e-7 * cos[1.05065113524 + 100.3844612329 * tau] + 3.0634e-7 * cos[1.5934880656 + 348.8476468921 * tau] + 2.7173e-7 * cos[4.37944546475 + 142.1408335931 * tau] + 2.8997e-7 * cos[3.6492721021 + 253.5709950899 * tau] + 2.4122e-7 * cos[5.17089441917 + 129.9194771616 * tau] + 2.5152e-7 * cos[4.4986776032 + 34.2008823747 * tau] + 2.7465e-7 * cos[5.9954158789 + 206.1855484372 * tau] + 2.6341e-7 * cos[4.59559782754 + 106.0135355254 * tau] + 3.1356e-7 * cos[0.07746010366 + 12.5301729722 * tau] + 2.9976e-7 * cos[4.45759985804 + 22.633917249 * tau] + 3.8231e-7 * cos[6.26491054328 + 389.9496279465 * tau] + 3.8831e-7 * cos[4.67876780698 + 38.084851528 * tau] + 3.7500e-7 * cos[6.08687972441 + 35.4247226521 * tau] + 3.8768e-7 * cos[1.12288359393 + 38.1812197476 * tau] + 4.0879e-7 * cos[3.55292279438 + 331.3215390738 * tau] + 3.3734e-7 * cos[5.24400184426 + 67.3592350258 * tau] + 3.8967e-7 * cos[5.25866056502 + 386.9806825299 * tau] + 3.8931e-7 * cos[5.2669175327 + 415.2918581812 * tau] + 4.2612e-7 * cos[3.55270845713 + 38.6543004996 * tau] + 4.1275e-7 * cos[1.36370496322 + 31.2319369581 * tau] + 4.2139e-7 * cos[0.63375113663 + 343.2185725996 * tau] + 3.9465e-7 * cos[3.50565484069 + 357.4456666012 * tau] + 4.7762e-7 * cos[0.88083849566 + 3302.479391062 * tau] + 3.6912e-7 * cos[0.44771386183 + 30.0562807905 * tau] + 4.8205e-7 * cos[1.8419837301 + 403.1341922245 * tau] + 4.0745e-7 * cos[0.16043648294 + 79.2350166922 * tau] + 4.1429e-7 * cos[4.45464156759 + 37.1698277913 * tau] + 4.1639e-7 * cos[6.26847783513 + 32.7164096664 * tau] + 4.7655e-7 * cos[3.90701760087 + 63.7358983034 * tau] + 4.1889e-7 * cos[3.12343223889 + 29.226199388 * tau] + 5.1508e-7 * cos[0.09105540708 + 210.3301500214 * tau] + 4.2961e-7 * cos[5.40175361431 + 487.3651437628 * tau] + 5.3960e-7 * cos[2.91774494436 + 563.6312150384 * tau] + 4.9549e-7 * cos[0.64106656292 + 41.0537969446 * tau] + 4.3828e-7 * cos[6.04655696644 + 135.5485514541 * tau] + 5.3761e-7 * cos[2.79644687008 + 328.3525936572 * tau] + 5.5887e-7 * cos[1.06815733757 + 172.1971143836 * tau] + 5.6766e-7 * cos[0.45048868231 + 140.001969579 * tau] + 4.6900e-7 * cos[0.17048203552 + 7.4223635415 * tau] + 6.0540e-7 * cos[3.40316162416 + 294.6729761443 * tau] + 4.6356e-7 * cos[1.34735469284 + 451.9404211107 * tau] + 6.4062e-7 * cos[6.28297531806 + 7.1135470008 * tau] + 6.3290e-7 * cos[4.3942491003 + 807.9497991134 * tau] + 4.8819e-7 * cos[5.10789123481 + 64.9597385808 * tau] + 5.6722e-7 * cos[3.52318112447 + 216.9224321604 * tau] + 5.2887e-7 * cos[0.37458943972 + 27.0873353739 * tau] + 6.1268e-7 * cos[5.70228826765 + 178.1350052168 * tau] + 6.1135e-7 * cos[0.83712253227 + 1022.7333672597 * tau] + 6.1861e-7 * cos[4.78702599861 + 11.0457002639 * tau] + 7.4677e-7 * cos[4.8590449998 + 186.2117600641 * tau] + 7.0503e-7 * cos[0.08077330612 + 40.5807161926 * tau] + 6.1746e-7 * cos[6.16453667559 + 1019.7644218431 * tau] + 5.6174e-7 * cos[5.42986960794 + 911.042573332 * tau] + 5.6430e-7 * cos[5.15003563302 + 0.5212648618 * tau] + 5.5698e-7 * cos[3.89047249911 + 47.6942631934 * tau] + 6.3443e-7 * cos[4.39590123005 + 149.5631971346 * tau] + 5.7230e-7 * cos[0.81331949225 + 2.9207613068 * tau] + 7.8695e-7 * cos[1.0930757555 + 700.6642392008 * tau] + 5.7995e-7 * cos[0.86159785905 + 60.7669528868 * tau] + 7.4242e-7 * cos[3.14479101276 + 82.8583534146 * tau] + 9.0657e-7 * cos[1.69466970587 + 366.485629295 * tau] + 6.9133e-7 * cos[4.93031154435 + 1028.3624415522 * tau] + 8.9874e-7 * cos[3.25100749923 + 258.0244132148 * tau] + 7.7187e-7 * cos[4.2107675324 + 105.4922706636 * tau] + 7.0036e-7 * cos[2.39683345663 + 426.598190876 * tau] + 9.4822e-7 * cos[0.2066294394 + 456.3938392356 * tau] + 9.3718e-7 * cos[6.09873565184 + 526.722019678 * tau] + 7.5131e-7 * cos[5.88936524779 + 43.2408450685 * tau] + 9.7067e-7 * cos[2.62667400276 + 291.7040307277 * tau] + 0.00000107888 * cos[0.98700578434 + 1124.34166877 * tau] + 8.8968e-7 * cos[4.78109764779 + 144.1465711632 * tau] + 9.8685e-7 * cos[0.8957795271 + 488.5889840402 * tau] + 9.6919e-7 * cos[0.86184760695 + 1014.1353475506 * tau] + 0.00000109779 * cos[5.43147520571 + 494.5268748734 * tau] + 0.00000104667 * cos[0.94883561775 + 395.578702239 * tau] + 0.00000120939 * cos[1.92914010593 + 25.6028626656 * tau] + 0.00000111006 * cos[3.34276426767 + 180.2738692309 * tau] + 0.00000114252 * cos[0.25039919123 + 594.6507036754 * tau] + 0.00000124693 * cos[2.97042405451 + 251.4321310758 * tau] + 0.00000124095 * cos[3.1151675034 + 221.3758502853 * tau] + 9.7713e-7 * cos[2.59474415429 + 6.592282139 * tau] + 9.9356e-7 * cos[1.92888554099 + 28.5718080822 * tau] + 0.00000120529 * cos[3.08050145518 + 184.7272873558 * tau] + 0.00000122732 * cos[5.39399536941 + 62.2514255951 * tau] + 0.00000107363 * cos[3.26457701792 + 1059.3819301892 * tau] + 0.00000128823 * cos[3.25521535448 + 24.1183899573 * tau] + 0.00000113473 * cos[4.96286007991 + 148.0787244263 * tau] + 0.00000161011 * cos[5.16655038482 + 211.8146227297 * tau] + 0.00000137649 * cos[3.34900537767 + 0.9632078465 * tau] + 0.00000174413 * cos[1.53042999914 + 329.8370663655 * tau] + 0.00000177846 * cos[4.14773474853 + 10175.1525105732 * tau] + 0.00000182469 * cos[2.45244890571 + 255.0554677982 * tau] + 0.00000155323 * cos[3.28425127954 + 31.019488637 * tau] + 0.00000193455 * cos[1.5842528758 + 138.5174968707 * tau] + 0.00000162897 * cos[2.48946521653 + 4.192785694 * tau] + 0.00000163934 * cos[2.10166491786 + 2.4476805548 * tau] + 0.00000174089 * cos[5.55011789988 + 567.8240007324 * tau] + 0.00000246198 * cos[1.01506302015 + 141.2258098564 * tau] + 0.00000214523 * cos[3.6248028304 + 278.2588340188 * tau] + 0.00000239628 * cos[3.16441455173 + 143.6253063014 * tau] + 0.00000234479 * cos[0.59231043427 + 42.5864537627 * tau] + 0.00000293532 * cos[4.89079857814 + 528.2064923863 * tau] + 0.00000306 * cos[2.72475094464 + 6244.9428143536 * tau] + 0.00000248152 * cos[3.41078346726 + 37.611770776 * tau] + 0.00000251356 * cos[3.53992782846 + 312.1990839626 * tau] + 0.00000307439 * cos[0.31964571332 + 601.7642506762 * tau] + 0.00000345094 * cos[1.35905860594 + 293.188503436 * tau] + 0.00000309196 * cos[2.85452752153 + 72.0732855816 * tau] + 0.00000321429 * cos[1.50625025822 + 454.9093665273 * tau] + 0.00000291625 * cos[4.02398326341 + 68.8437077341 * tau] + 0.00000333311 * cos[5.75067616021 + 39.0962434843 * tau] + 0.00000267738 * cos[5.13323364247 + 112.9146342051 * tau] + 0.00000280556 * cos[4.54238271682 + 44.7253177768 * tau] + 0.00000314499 * cos[3.95932948594 + 381.3516082374 * tau] + 0.00000280062 * cos[1.54129714238 + 98.8999885246 * tau] + 0.00000355389 * cos[2.27847846648 + 218.4069048687 * tau] + 0.00000422485 * cos[5.53186169605 + 525.4981794006 * tau] + 0.00000382457 * cos[3.29965259685 + 983.1158589136 * tau] + 0.00000421011 * cos[1.89084929506 + 30.7106720963 * tau] + 0.0000040025 * cos[1.25609325435 + 8.0767548473 * tau] + 0.00000437096 * cos[2.27029212923 + 1550.939859646 * tau] + 0.00000530357 * cos[4.24059166485 + 111.4301614968 * tau] + 0.0000050204 * cos[1.38657803368 + 5.9378908332 * tau] + 0.00000704778 * cos[1.1873821088 + 256.5399405065 * tau] + 0.00000615781 * cos[2.97874625677 + 106.9767433719 * tau] + 0.00000731925 * cos[2.10447054189 + 181.7583419392 * tau] + 0.00000811186 * cos[3.0025888087 + 46.2097904851 * tau] + 0.00000835414 * cos[3.97066884218 + 114.3991069134 * tau] + 0.00001228304 * cos[1.59881465324 + 77.7505439839 * tau] + 0.0000112856 * cos[5.96661179805 + 9.5612275556 * tau] + 0.00001403377 * cos[6.07659416908 + 173.6815870919 * tau] + 0.0000139886 * cos[0.7622031762 + 176.6505325085 * tau] + 0.00001499193 * cos[1.01623299513 + 219.891377577 * tau] + 0.00001403029 * cos[4.58914203187 + 498.6714764576 * tau] + 0.00001435072 * cos[1.70005157785 + 484.444382456 * tau] + 0.00001654039 * cos[1.92782545887 + 145.1097790097 * tau] + 0.00001905254 * cos[1.72186472126 + 182.279606801 * tau] + 0.00001976522 * cos[5.1170304456 + 168.0525127994 * tau] + 0.00002087303 * cos[0.61858378281 + 33.9402499438 * tau] + 0.00002523132 * cos[0.48630800015 + 493.0424021651 * tau] + 0.00002530149 * cos[5.79839567009 + 490.0734567485 * tau] + 0.00002306293 * cos[2.80962935724 + 70.3281804424 * tau] + 0.00002878942 * cos[3.67415901855 + 350.3321196004 * tau] + 0.0000338093 * cos[0.84810683275 + 183.2428146475 * tau] + 0.00002635535 * cos[3.09755943422 + 213.299095438 * tau] + 0.00002881063 * cos[1.98600105123 + 137.0330241624 * tau] + 0.00004420804 * cos[1.74993796503 + 108.4612160802 * tau] + 0.0000435379 * cos[0.6798566237 + 32.1951448046 * tau] + 0.00004270202 * cos[3.41343865825 + 453.424893819 * tau] + 0.00004483492 * cos[2.90573457534 + 529.6909650946 * tau] + 0.00004839672 * cos[1.9068599107 + 41.1019810544 * tau] + 0.00005720852 * cos[2.59059512267 + 4.4534181249 * tau] + 0.000075718 * cos[1.07149263431 + 388.4651552382 * tau] + 0.00008394731 * cos[0.67816895547 + 146.594251718 * tau] + 0.00012011825 * cos[1.92062131635 + 1021.2488945514 * tau] + 0.00014229686 * cos[1.07786112902 + 74.7815985673 * tau] + 0.00016939242 * cos[1.59422166991 + 71.8126531507 * tau] + 0.00024593778 * cos[0.50801728204 + 109.9456887885 * tau] + 0.00046687838 * cos[5.74937810094 + 33.6796175129 * tau] + 0.00069791722 * cos[3.79617226928 + 2.9689454166 * tau] + 0.00100895397 * cos[0.37702748681 + 73.297125859 * tau] + 0.00121801825 * cos[5.79754444303 + 76.2660712756 * tau] + 0.00135134095 * cos[3.37220607384 + 39.6175083461 * tau] + 0.0027457197 * cos[1.84552256801 + 175.1660598002 * tau] + 0.00495725642 * cos[1.57105654815 + 491.5579294568 * tau] + 0.00537760613 * cos[4.52113902845 + 35.1640902212 * tau] + 0.00807830737 * cos[5.18592836167 + 1.4844727083 * tau] + 0.01691764281 * cos[3.25186138896 + 36.6485629295 * tau] + 0.2706225949 * cos[1.3299945893 + 38.1330356378 * tau] + 30.07013206102 * cos[0.0 + 0.0 * tau]; R1 = 2.621e-8 * cos[1.74442251671 + 35.212274331 * tau] + 2.962e-8 * cos[1.74151265966 + 2080.6308247406 * tau] + 2.324e-8 * cos[3.99503920129 + 481.2629887183 * tau] + 2.225e-8 * cos[5.75197574692 + 605.9570363702 * tau] + 2.895e-8 * cos[3.26202698812 + 1646.9190868638 * tau] + 2.795e-8 * cos[4.0426575258 + 255.0554677982 * tau] + 2.444e-8 * cos[3.87859489652 + 185.2485522176 * tau] + 2.537e-8 * cos[1.64802783144 + 519.6084726772 * tau] + 2.438e-8 * cos[5.19827220476 + 501.1191570124 * tau] + 2.386e-8 * cos[4.58400538443 + 615.9913446778 * tau] + 2.614e-8 * cos[1.51881085312 + 463.5073862364 * tau] + 2.556e-8 * cos[3.86921927085 + 487.1045113319 * tau] + 2.458e-8 * cos[1.20012815574 + 489.110248902 * tau] + 2.840e-8 * cos[1.34453183591 + 482.9599097477 * tau] + 2.901e-8 * cos[3.91891656185 + 10173.6680378649 * tau] + 2.554e-8 * cos[0.65945973992 + 67.3592350258 * tau] + 3.116e-8 * cos[2.20042242739 + 495.702531041 * tau] + 2.956e-8 * cos[5.76230870725 + 986.0848043302 * tau] + 3.030e-8 * cos[5.10152500393 + 367.9701020033 * tau] + 2.932e-8 * cos[1.80245810977 + 500.1559491659 * tau] + 2.834e-8 * cos[3.52926079424 + 457.8783119439 * tau] + 2.786e-8 * cos[0.83078219939 + 497.1870037493 * tau] + 3.062e-8 * cos[6.23776299963 + 419.4846438752 * tau] + 3.053e-8 * cos[2.49346960035 + 6243.4583416453 * tau] + 3.333e-8 * cos[3.25126857354 + 30.0562807905 * tau] + 2.720e-8 * cos[1.71836225398 + 364.559213602 * tau] + 2.878e-8 * cos[2.61946597178 + 488.5889840402 * tau] + 2.599e-8 * cos[4.86022081674 + 439.1977998174 * tau] + 2.630e-8 * cos[0.46957619348 + 1970.4245035212 * tau] + 2.673e-8 * cos[6.03366372927 + 196.5067008026 * tau] + 2.652e-8 * cos[3.35836234807 + 148.0787244263 * tau] + 3.170e-8 * cos[1.23078934548 + 10176.6369832815 * tau] + 3.020e-8 * cos[2.36422658177 + 290.2195580194 * tau] + 3.030e-8 * cos[3.698661491 + 532.6117264014 * tau] + 3.088e-8 * cos[2.29186342974 + 110.2063212194 * tau] + 2.989e-8 * cos[2.31620917965 + 485.9288551643 * tau] + 2.861e-8 * cos[6.17465663902 + 422.405405182 * tau] + 3.010e-8 * cos[0.24656411754 + 91.7864415238 * tau] + 3.659e-8 * cos[5.12211619716 + 79.2350166922 * tau] + 3.347e-8 * cos[6.09373507569 + 6246.4272870619 * tau] + 2.917e-8 * cos[2.74502617182 + 138.5174968707 * tau] + 2.823e-8 * cos[0.60712626756 + 214.7835681463 * tau] + 3.076e-8 * cos[6.04134449219 + 142.1408335931 * tau] + 3.946e-8 * cos[2.8884275967 + 151.260118164 * tau] + 3.267e-8 * cos[4.19718045293 + 518.3846323998 * tau] + 2.930e-8 * cos[6.15005257333 + 164.1203595363 * tau] + 3.388e-8 * cos[6.24936444215 + 535.3200393871 * tau] + 3.904e-8 * cos[3.01022809543 + 556.5176680376 * tau] + 3.126e-8 * cos[5.89472116854 + 105.4922706636 * tau] + 2.995e-8 * cos[3.34433305798 + 394.0942295307 * tau] + 3.085e-8 * cos[0.95725590904 + 109.9456887885 * tau] + 2.971e-8 * cos[0.31626092637 + 5.1078094307 * tau] + 2.948e-8 * cos[2.90769224206 + 391.4341006548 * tau] + 2.950e-8 * cos[1.99904237956 + 872.9095376942 * tau] + 3.901e-8 * cos[1.65463523144 + 210.3301500214 * tau] + 2.964e-8 * cos[3.66274645375 + 495.4900827199 * tau] + 3.295e-8 * cos[2.53821501556 + 4.665866446 * tau] + 2.998e-8 * cos[2.61728063127 + 487.6257761937 * tau] + 3.998e-8 * cos[3.38773325131 + 6283.0758499914 * tau] + 3.735e-8 * cos[0.98809808606 + 487.4133278726 * tau] + 3.465e-8 * cos[0.93152295589 + 2183.7235989592 * tau] + 3.392e-8 * cos[0.48037804731 + 521.0929453855 * tau] + 3.122e-8 * cos[0.48346644637 + 79.1868325824 * tau] + 3.136e-8 * cos[4.38015969606 + 385.4962098216 * tau] + 3.706e-8 * cos[2.79048710497 + 462.0229135281 * tau] + 3.154e-8 * cos[3.69356460843 + 470.2172884544 * tau] + 3.179e-8 * cos[3.40418030121 + 423.6292454594 * tau] + 3.389e-8 * cos[1.79454271219 + 1519.920371009 * tau] + 3.187e-8 * cos[0.08677634706 + 399.5108555021 * tau] + 3.337e-8 * cos[2.7250287632 + 481.4754370394 * tau] + 3.280e-8 * cos[3.62226152032 + 531.1754378029 * tau] + 3.230e-8 * cos[5.10786091356 + 69.1525242748 * tau] + 3.615e-8 * cos[3.68096122231 + 494.5268748734 * tau] + 3.294e-8 * cos[0.42088065654 + 22.633917249 * tau] + 4.217e-8 * cos[4.21677652639 + 1052.2683831884 * tau] + 3.976e-8 * cos[2.42476188945 + 106.0135355254 * tau] + 3.304e-8 * cos[1.49289552229 + 1505.6932770074 * tau] + 3.564e-8 * cos[4.36703678321 + 397.0631749473 * tau] + 3.629e-8 * cos[3.29053233846 + 447.7958195265 * tau] + 3.865e-8 * cos[4.76002199091 + 166.5680400911 * tau] + 4.047e-8 * cos[3.71041480907 + 1018.0675008137 * tau] + 3.456e-8 * cos[5.54052355058 + 846.0828347512 * tau] + 3.647e-8 * cos[3.98130320367 + 608.877797677 * tau] + 3.780e-8 * cos[6.03723468132 + 1022.7333672597 * tau] + 4.669e-8 * cos[4.38080962573 + 1066.49547719 * tau] + 3.941e-8 * cos[5.21895739331 + 183.7640795093 * tau] + 3.836e-8 * cos[1.02685786071 + 1018.2799491348 * tau] + 3.745e-8 * cos[4.24728135115 + 180.7951340927 * tau] + 3.988e-8 * cos[2.82832650224 + 134.1122628556 * tau] + 3.816e-8 * cos[3.93084933114 + 39.0962434843 * tau] + 3.714e-8 * cos[5.05021268365 + 292.4859280204 * tau] + 3.489e-8 * cos[4.28865448963 + 1025.1810478145 * tau] + 3.911e-8 * cos[3.01809123569 + 100.3844612329 * tau] + 3.721e-8 * cos[1.20062375429 + 1026.8779688439 * tau] + 3.901e-8 * cos[2.70874386576 + 14.0146456805 * tau] + 3.841e-8 * cos[1.6258092842 + 0.9632078465 * tau] + 4.067e-8 * cos[5.7316992896 + 169.5369855077 * tau] + 4.038e-8 * cos[2.82857942788 + 1661.1461808654 * tau] + 3.763e-8 * cos[4.29449373755 + 313.6835566709 * tau] + 5.182e-8 * cos[4.73444634983 + 382.8360809457 * tau] + 4.052e-8 * cos[5.00014006312 + 391.6465489759 * tau] + 5.071e-8 * cos[2.61075526868 + 1536.7127656444 * tau] + 5.559e-8 * cos[0.77714806229 + 1447.8470854274 * tau] + 3.961e-8 * cos[3.04953080906 + 1017.3167412883 * tau] + 3.957e-8 * cos[0.86846121055 + 171.9846660625 * tau] + 4.025e-8 * cos[2.40645188238 + 84.3428261229 * tau] + 4.012e-8 * cos[0.42559540783 + 104313.47953065898 * tau] + 5.257e-8 * cos[3.75263242432 + 379.8671355291 * tau] + 4.276e-8 * cos[3.6820508297 + 348.8476468921 * tau] + 4.029e-8 * cos[5.98399329775 + 178.3474535379 * tau] + 4.086e-8 * cos[0.14551174994 + 385.2837615005 * tau] + 4.287e-8 * cos[0.66340266603 + 1012.6508748423 * tau] + 4.398e-8 * cos[5.65312496227 + 3.9321532631 * tau] + 4.536e-8 * cos[2.45860473853 + 496.0113475817 * tau] + 5.845e-8 * cos[4.62301099402 + 1024.217839968 * tau] + 4.683e-8 * cos[2.14346624864 + 97.4155158163 * tau] + 4.430e-8 * cos[3.37768805833 + 377.4194549743 * tau] + 6.045e-8 * cos[5.68817982786 + 351.8165923087 * tau] + 5.639e-8 * cos[3.05596737234 + 983.1158589136 * tau] + 4.644e-8 * cos[1.87902594973 + 1433.6199914258 * tau] + 4.687e-8 * cos[2.2140115321 + 1029.8469142605 * tau] + 4.393e-8 * cos[4.18047835584 + 5.4166259714 * tau] + 4.559e-8 * cos[4.92224120952 + 285.3723810196 * tau] + 4.416e-8 * cos[3.05353893868 + 27.0873353739 * tau] + 5.485e-8 * cos[3.88088464259 + 218.4069048687 * tau] + 4.459e-8 * cos[1.3078482983 + 69.3649725959 * tau] + 4.711e-8 * cos[5.56542374115 + 42.3258213318 * tau] + 4.652e-8 * cos[5.10765073368 + 274.0660483248 * tau] + 4.918e-8 * cos[4.09031782903 + 488.3765357191 * tau] + 5.125e-8 * cos[5.38138329172 + 179.3106613844 * tau] + 4.722e-8 * cos[6.22814313946 + 63.7358983034 * tau] + 5.025e-8 * cos[4.21265519856 + 536.8045120954 * tau] + 5.119e-8 * cos[2.17338058771 + 494.7393231945 * tau] + 5.167e-8 * cos[5.2024661657 + 446.3113468182 * tau] + 5.005e-8 * cos[4.70632786971 + 460.5384408198 * tau] + 5.006e-8 * cos[2.37645082899 + 77.2292791221 * tau] + 6.422e-8 * cos[0.64684316894 + 350.3321196004 * tau] + 5.168e-8 * cos[4.73765992885 + 522.5774180938 * tau] + 5.129e-8 * cos[0.79394555531 + 179.0982130633 * tau] + 5.245e-8 * cos[6.06245070403 + 171.2339065371 * tau] + 5.346e-8 * cos[3.13071964722 + 386.9806825299 * tau] + 6.216e-8 * cos[4.79301628209 + 143.6253063014 * tau] + 6.115e-8 * cos[2.10934525342 + 697.743477894 * tau] + 5.562e-8 * cos[0.4161960215 + 563.6312150384 * tau] + 5.517e-8 * cos[3.8132579089 + 815.0633461142 * tau] + 6.431e-8 * cos[4.07813226506 + 35.685355083 * tau] + 6.751e-8 * cos[1.9686089447 + 45.2465826386 * tau] + 6.412e-8 * cos[2.41743702679 + 1059.3819301892 * tau] + 8.302e-8 * cos[3.85960902325 + 37.611770776 * tau] + 7.059e-8 * cos[5.99832463494 + 639.897286314 * tau] + 7.695e-8 * cos[5.13312500855 + 23.9059416362 * tau] + 6.720e-8 * cos[1.339360407 + 220.4126424388 * tau] + 6.357e-8 * cos[0.90093123522 + 487.3651437628 * tau] + 6.729e-8 * cos[3.98338053636 + 12.5301729722 * tau] + 7.897e-8 * cos[1.86554246391 + 38.6543004996 * tau] + 6.874e-8 * cos[0.83802906828 + 82.8583534146 * tau] + 6.979e-8 * cos[1.86753914872 + 206.1855484372 * tau] + 7.192e-8 * cos[0.82841201068 + 911.042573332 * tau] + 9.450e-8 * cos[0.27241261915 + 426.598190876 * tau] + 7.342e-8 * cos[1.62279119952 + 135.5485514541 * tau] + 7.440e-8 * cos[2.35731983047 + 11.0457002639 * tau] + 8.004e-8 * cos[2.78082277326 + 505.7850234584 * tau] + 7.645e-8 * cos[4.07503370297 + 389.9496279465 * tau] + 9.838e-8 * cos[1.494387636 + 47.6942631934 * tau] + 8.350e-8 * cos[2.82449631025 + 43.2408450685 * tau] + 9.873e-8 * cos[3.7651215808 + 181.7583419392 * tau] + 1.0392e-7 * cos[5.18877536013 + 42.5864537627 * tau] + 1.0114e-7 * cos[4.51164596694 + 28.5718080822 * tau] + 8.735e-8 * cos[5.80657503476 + 6.592282139 * tau] + 9.231e-8 * cos[0.6818097771 + 160.9389657986 * tau] + 9.207e-8 * cos[0.50092534158 + 64.9597385808 * tau] + 1.0518e-7 * cos[5.27281360238 + 2.9207613068 * tau] + 1.0085e-7 * cos[1.98102855874 + 40.5807161926 * tau] + 1.0826e-7 * cos[5.21826226871 + 26.826702943 * tau] + 1.0508e-7 * cos[4.35552732772 + 32.7164096664 * tau] + 1.1533e-7 * cos[0.89138506506 + 594.6507036754 * tau] + 1.1724e-7 * cos[5.5764726346 + 31.2319369581 * tau] + 1.2746e-7 * cos[3.52815836608 + 477.3308354552 * tau] + 1.5357e-7 * cos[4.20731277007 + 567.8240007324 * tau] + 1.3361e-7 * cos[5.8575108372 + 68.8437077341 * tau] + 1.4029e-7 * cos[0.5533633329 + 129.9194771616 * tau] + 1.5077e-7 * cos[3.66802659382 + 0.5212648618 * tau] + 1.9173e-7 * cos[2.20014267311 + 343.2185725996 * tau] + 1.5425e-7 * cos[4.38812302799 + 25.6028626656 * tau] + 2.0132e-7 * cos[3.29520553529 + 114.3991069134 * tau] + 1.6545e-7 * cos[1.69931816587 + 357.4456666012 * tau] + 1.7606e-7 * cos[1.60307551767 + 62.2514255951 * tau] + 1.9201e-7 * cos[4.65162168927 + 106.9767433719 * tau] + 1.8266e-7 * cos[6.17260374467 + 189.3931538018 * tau] + 1.8322e-7 * cos[1.98028683488 + 72.0732855816 * tau] + 2.4048e-7 * cos[1.00718363213 + 213.299095438 * tau] + 2.6958e-7 * cos[4.14294870704 + 453.424893819 * tau] + 2.0238e-7 * cos[5.61479765982 + 24.1183899573 * tau] + 2.4163e-7 * cos[3.56602004577 + 145.1097790097 * tau] + 2.3373e-7 * cos[1.64955088447 + 173.6815870919 * tau] + 2.1392e-7 * cos[0.86286397645 + 4.192785694 * tau] + 2.3727e-7 * cos[5.12044184469 + 176.6505325085 * tau] + 2.1283e-7 * cos[0.68957829113 + 251.4321310758 * tau] + 2.1369e-7 * cos[4.71270048898 + 278.2588340188 * tau] + 2.5958e-7 * cos[2.99724758632 + 60.7669528868 * tau] + 2.4944e-7 * cos[3.10083391185 + 144.1465711632 * tau] + 2.7475e-7 * cos[0.97228280623 + 33.9402499438 * tau] + 2.7756e-7 * cos[4.55583165091 + 7.1135470008 * tau] + 2.7048e-7 * cos[1.77647060739 + 44.7253177768 * tau] + 2.9991e-7 * cos[3.30769367603 + 1028.3624415522 * tau] + 3.0181e-7 * cos[3.63273193845 + 30.7106720963 * tau] + 3.6079e-7 * cos[4.87817494829 + 491.5579294568 * tau] + 3.2730e-7 * cos[5.22147683115 + 41.0537969446 * tau] + 3.1197e-7 * cos[2.70549944134 + 1014.1353475506 * tau] + 3.2360e-7 * cos[5.91123007786 + 5.9378908332 * tau] + 4.0619e-7 * cos[2.27237172464 + 529.6909650946 * tau] + 3.6284e-7 * cos[0.38187812797 + 77.7505439839 * tau] + 3.6267e-7 * cos[5.30764043577 + 312.1990839626 * tau] + 4.1099e-7 * cos[4.86312637841 + 493.0424021651 * tau] + 4.1170e-7 * cos[1.41999374753 + 490.0734567485 * tau] + 4.4102e-7 * cos[1.41744904844 + 1550.939859646 * tau] + 4.1744e-7 * cos[4.94257598763 + 31.019488637 * tau] + 4.8331e-7 * cos[1.98568593981 + 175.1660598002 * tau] + 4.1243e-7 * cos[4.73866592865 + 8.0767548473 * tau] + 4.4453e-7 * cos[3.61409723545 + 2.4476805548 * tau] + 5.3375e-7 * cos[5.43650770516 + 395.578702239 * tau] + 6.8377e-7 * cos[3.39509945953 + 108.4612160802 * tau] + 6.4724e-7 * cos[3.85477388838 + 73.297125859 * tau] + 6.8717e-7 * cos[4.52563942435 + 70.3281804424 * tau] + 8.6953e-7 * cos[5.77228651853 + 381.3516082374 * tau] + 6.8983e-7 * cos[1.46326969479 + 74.7815985673 * tau] + 7.2205e-7 * cos[4.47717435693 + 601.7642506762 * tau] + 8.3317e-7 * cos[3.25992461673 + 98.8999885246 * tau] + 9.3626e-7 * cos[0.66670888163 + 46.2097904851 * tau] + 0.00000132766 * cos[3.60157672619 + 9.5612275556 * tau] + 0.00000155438 * cos[0.36537064534 + 41.1019810544 * tau] + 0.00000203524 * cos[2.41820674409 + 32.1951448046 * tau] + 0.00000270526 * cos[3.27355867939 + 71.8126531507 * tau] + 0.00000264093 * cos[0.86220057976 + 4.4534181249 * tau] + 0.0000049019 * cos[3.46830928696 + 137.0330241624 * tau] + 0.0000056079 * cos[2.88685815667 + 498.6714764576 * tau] + 0.00000571622 * cos[3.40060785432 + 484.444382456 * tau] + 0.00000607183 * cos[1.0770650035 + 1021.2488945514 * tau] + 0.0000076003 * cos[0.02051033644 + 182.279606801 * tau] + 0.00000789908 * cos[0.5331548458 + 168.0525127994 * tau] + 0.0000089765 * cos[5.24122933533 + 388.4651552382 * tau] + 0.00001135773 * cos[3.91891199655 + 36.6485629295 * tau] + 0.00001603165 * cos[0.0 + 0.0 * tau] + 0.00001463924 * cos[1.18417031047 + 33.6796175129 * tau] + 0.00002154735 * cos[2.09431198086 + 2.9689454166 * tau] + 0.0000215315 * cos[5.16873840979 + 76.2660712756 * tau] + 0.0000270174 * cos[1.88140666779 + 39.6175083461 * tau] + 0.00008621863 * cos[6.2162895163 + 35.1640902212 * tau] + 0.00013220279 * cos[3.32015499895 + 1.4844727083 * tau] + 0.00236338502 * cos[0.70498011235 + 38.1330356378 * tau]; R2 = 2.253e-8 * cos[0.74334306011 + 976.0023119128 * tau] + 2.480e-8 * cos[4.59623030219 + 693.5506922 * tau] + 2.500e-8 * cos[0.7028227603 + 707.7777862016 * tau] + 2.342e-8 * cos[0.96469916587 + 1019.7644218431 * tau] + 2.511e-8 * cos[2.71606957319 + 179.0982130633 * tau] + 2.510e-8 * cos[4.12148891512 + 171.2339065371 * tau] + 2.541e-8 * cos[5.19427579702 + 1227.4344429886 * tau] + 2.578e-8 * cos[1.45603792456 + 1035.475988553 * tau] + 2.581e-8 * cos[3.55847612121 + 567.8240007324 * tau] + 2.597e-8 * cos[0.67759426519 + 312.1990839626 * tau] + 3.344e-8 * cos[5.61433537548 + 1124.34166877 * tau] + 3.113e-8 * cos[5.1262228869 + 426.598190876 * tau] + 2.773e-8 * cos[5.37132330836 + 251.4321310758 * tau] + 2.828e-8 * cos[1.32275775835 + 386.9806825299 * tau] + 3.527e-8 * cos[0.79317138165 + 274.0660483248 * tau] + 2.848e-8 * cos[6.17799253802 + 704.8570248948 * tau] + 3.843e-8 * cos[5.23002047199 + 350.3321196004 * tau] + 3.972e-8 * cos[1.07780371834 + 374.2380612366 * tau] + 2.966e-8 * cos[2.01608546009 + 822.176893115 * tau] + 3.925e-8 * cos[4.85736421123 + 60.7669528868 * tau] + 3.974e-8 * cos[5.9735178384 + 488.3765357191 * tau] + 4.008e-8 * cos[0.30663868827 + 494.7393231945 * tau] + 3.296e-8 * cos[1.07748822909 + 505.7850234584 * tau] + 4.142e-8 * cos[1.70293820961 + 983.1158589136 * tau] + 3.840e-8 * cos[3.7929038188 + 111.4301614968 * tau] + 3.727e-8 * cos[2.37977930658 + 160.9389657986 * tau] + 4.465e-8 * cos[3.01487041298 + 129.9194771616 * tau] + 3.891e-8 * cos[0.26338839265 + 1550.939859646 * tau] + 4.338e-8 * cos[0.51553847388 + 446.3113468182 * tau] + 4.536e-8 * cos[2.84337336954 + 7.1135470008 * tau] + 5.756e-8 * cos[2.23667359233 + 176.6505325085 * tau] + 4.606e-8 * cos[3.91970908886 + 587.5371566746 * tau] + 6.113e-8 * cos[6.18326155595 + 71.8126531507 * tau] + 4.747e-8 * cos[1.50608965076 + 73.297125859 * tau] + 4.751e-8 * cos[1.1805494827 + 169.5369855077 * tau] + 5.055e-8 * cos[0.19949888617 + 166.5680400911 * tau] + 4.787e-8 * cos[2.08260524745 + 41.1019810544 * tau] + 4.878e-8 * cos[3.52934357721 + 39.6175083461 * tau] + 5.503e-8 * cos[3.49522319102 + 183.7640795093 * tau] + 5.177e-8 * cos[5.23116646157 + 477.3308354552 * tau] + 5.523e-8 * cos[4.59041448911 + 1014.1353475506 * tau] + 5.628e-8 * cos[5.23383764266 + 46.2097904851 * tau] + 5.665e-8 * cos[6.25378258571 + 74.7815985673 * tau] + 7.782e-8 * cos[1.14341656235 + 1059.3819301892 * tau] + 6.554e-8 * cos[0.69397520733 + 144.1465711632 * tau] + 9.654e-8 * cos[0.0 + 0.0 * tau] + 8.076e-8 * cos[5.84268048311 + 220.4126424388 * tau] + 7.289e-8 * cos[1.6551952578 + 1028.3624415522 * tau] + 7.225e-8 * cos[1.92287508629 + 9.5612275556 * tau] + 7.417e-8 * cos[4.46775409796 + 189.3931538018 * tau] + 8.136e-8 * cos[4.96270726986 + 4.4534181249 * tau] + 8.527e-8 * cos[5.25134685897 + 2.4476805548 * tau] + 9.132e-8 * cos[2.34787658568 + 601.7642506762 * tau] + 1.1379e-7 * cos[1.18060018898 + 381.3516082374 * tau] + 1.3117e-7 * cos[5.09263515697 + 98.8999885246 * tau] + 1.3886e-7 * cos[3.59248623971 + 395.578702239 * tau] + 2.1099e-7 * cos[0.76843555176 + 36.6485629295 * tau] + 3.0484e-7 * cos[3.58259801313 + 33.6796175129 * tau] + 3.7080e-7 * cos[5.97288967681 + 2.9689454166 * tau] + 3.6450e-7 * cos[5.17130059988 + 137.0330241624 * tau] + 3.9330e-7 * cos[6.09521855958 + 1021.2488945514 * tau] + 4.9509e-7 * cos[4.06995509133 + 76.2660712756 * tau] + 7.7286e-7 * cos[0.01659281785 + 491.5579294568 * tau] + 6.4814e-7 * cos[3.4621406484 + 388.4651552382 * tau] + 9.9467e-7 * cos[3.41578558739 + 175.1660598002 * tau] + 0.00000127141 * cos[2.84786298079 + 35.1640902212 * tau] + 0.00000112429 * cos[1.19000583596 + 498.6714764576 * tau] + 0.0000011794 * cos[5.10295026024 + 484.444382456 * tau] + 0.00000156285 * cos[4.59414467342 + 182.279606801 * tau] + 0.00000163025 * cos[2.2387294713 + 168.0525127994 * tau] + 0.0000021757 * cos[0.3458182908 + 1.4844727083 * tau] + 0.00004247412 * cos[5.89910679117 + 38.1330356378 * tau]; R3 = 2.278e-8 * cos[3.66579603119 + 497.1870037493 * tau] + 2.874e-8 * cos[6.1964334054 + 815.0633461142 * tau] + 2.355e-8 * cos[5.77381398401 + 485.9288551643 * tau] + 2.690e-8 * cos[2.21096415618 + 446.3113468182 * tau] + 2.523e-8 * cos[1.7286988978 + 395.578702239 * tau] + 2.541e-8 * cos[4.79217120822 + 482.9599097477 * tau] + 2.644e-8 * cos[4.64542905401 + 500.1559491659 * tau] + 2.650e-8 * cos[5.76858449026 + 343.2185725996 * tau] + 3.246e-8 * cos[0.79381356193 + 536.8045120954 * tau] + 2.688e-8 * cos[1.87062743473 + 402.6922492398 * tau] + 3.269e-8 * cos[2.94301808574 + 76.2660712756 * tau] + 3.243e-8 * cos[1.8803566598 + 522.5774180938 * tau] + 3.198e-8 * cos[0.70197118575 + 1558.0534066468 * tau] + 3.681e-8 * cos[1.62865545676 + 388.4651552382 * tau] + 3.655e-8 * cos[5.91335292846 + 1007.0218005498 * tau] + 6.448e-8 * cos[5.19003066847 + 31.019488637 * tau] + 1.1867e-7 * cos[4.4028019271 + 1.4844727083 * tau] + 1.5623e-7 * cos[5.75702251906 + 498.6714764576 * tau] + 1.6233e-7 * cos[0.54226725872 + 484.444382456 * tau] + 2.1348e-7 * cos[2.86296778794 + 182.279606801 * tau] + 2.2380e-7 * cos[3.94830879358 + 168.0525127994 * tau] + 0.00000166297 * cos[4.55243893489 + 38.1330356378 * tau]; R4 = 2.295e-8 * cos[5.67776133184 + 168.0525127994 * tau] + 2.294e-8 * cos[1.10879658603 + 182.279606801 * tau] + 3.016e-8 * cos[1.03609346831 + 189.3931538018 * tau] + 3.154e-8 * cos[3.88192942366 + 505.7850234584 * tau] + 3.545e-8 * cos[4.78431259422 + 1028.3624415522 * tau] + 4.333e-8 * cos[0.10459484545 + 395.578702239 * tau] + 4.227e-8 * cos[2.40375758563 + 477.3308354552 * tau]; L = ((L0 + L1 tau + L2 tau^2 + L3 tau^3 + L4 tau^4 + L5 tau^5) radians) mod circle B = ((B0 + B1 tau + B2 tau^2 + B3 tau^3 + B4 tau^4 + B5 tau^5) radians) mod circle R = (R0 + R1 tau + R2 tau^2 + R3 tau^3 + R4 tau^4) au return [L, B, R] } // Magnitude functions that will be passed to the constructors. // These are the Astronomical Almanac formulas as given in Meeus, // p. 286. class var MercuryMagnitude = {|date| i = Planet.Mercury.phaseAngle[date] [L,B,R] = Planet.Mercury.getCoordinates[date] [L0, B0, R0] = Planet.Earth.getCoordinates[date] [x,y,z,dist] = distanceBetweenSphericalCoordinates[L, B, R, L0, B0, R0] id = i / degree return -0.42 + 5 log[R/au * dist/au] + 0.0380 id - 0.000273 id^2 + 0.000002 id^3 } class var VenusMagnitude = {|date| i = Planet.Venus.phaseAngle[date] [L,B,R] = Planet.Venus.getCoordinates[date] [L0, B0, R0] = Planet.Earth.getCoordinates[date] [x,y,z,dist] = distanceBetweenSphericalCoordinates[L, B, R, L0, B0, R0] id = i / degree return -4.40 + 5 log[R/au * dist/au] + 0.0009 id + 0.000239 id^2 - 0.00000065 id^3 } class var EarthMagnitude = {|date| return undef } class var MarsMagnitude = {|date| i = Planet.Mars.phaseAngle[date] [L,B,R] = Planet.Mars.getCoordinates[date] [L0, B0, R0] = Planet.Earth.getCoordinates[date] [x,y,z,dist] = distanceBetweenSphericalCoordinates[L, B, R, L0, B0, R0] id = i / degree return -1.52 + 5 log[R/au * dist/au] + 0.016 id } class var JupiterMagnitude = {|date| i = Planet.Jupiter.phaseAngle[date] [L,B,R] = Planet.Jupiter.getCoordinates[date] [L0, B0, R0] = Planet.Earth.getCoordinates[date] [x,y,z,dist] = distanceBetweenSphericalCoordinates[L, B, R, L0, B0, R0] id = i / degree return -9.40 + 5 log[R/au * dist/au] + 0.005 id } // The calculations for Saturn include terms for the ring, which make it // non-negligibly brighter. class var SaturnMagnitude = {|date| i = Planet.Saturn.phaseAngle[date] [L,B,R] = Planet.Saturn.getCoordinates[date] [L0, B0, R0] = Planet.Earth.getCoordinates[date] [x,y,z,dist] = distanceBetweenSphericalCoordinates[L, B, R, L0, B0, R0] // Calculate the position of the rings [deltaU, sB, P] = SaturnEphemeris[date] return -8.88 + 5 log[R/au * dist/au] + 0.044 abs[deltaU/degree] - 2.60 sin[abs[sB]] + 1.25 sin[sB]^2 } class var UranusMagnitude = {|date| i = Planet.Uranus.phaseAngle[date] [L,B,R] = Planet.Uranus.getCoordinates[date] [L0, B0, R0] = Planet.Earth.getCoordinates[date] [x,y,z,dist] = distanceBetweenSphericalCoordinates[L, B, R, L0, B0, R0] id = i / degree return -7.19 + 5 log[R/au * dist/au] } class var NeptuneMagnitude = {|date| i = Planet.Neptune.phaseAngle[date] [L,B,R] = Planet.Neptune.getCoordinates[date] [L0, B0, R0] = Planet.Earth.getCoordinates[date] [x,y,z,dist] = distanceBetweenSphericalCoordinates[L, B, R, L0, B0, R0] id = i / degree return -6.87 + 5 log[R/au * dist/au] } // PlutoMagnitude = -1.00 + 5 log[R/au * dist/au] /** Ephemeris for physical observations of Jupiter. See chapter 43 of Meeus. returns: [P, DS, DE, omega1, omega2] where P is the position angle of the northern axis of rotation. DS is the planetocentric declination of the Sun DE is the planetocentric declination of the Earth omega1 is the longitude of the central meridian for time system I omega2 is the longitude of the central meridian for time system II */ class JupiterEphemeris[date, debug = false] := { // Section 1 d = (JDE[date] - 2433282.5 days) / days T1 = d / 36525 alpha0 = (268.00 + 0.1061 T1) degrees delta0 = ( 64.50 - 0.0164 T1) degrees if debug { println["d = $d, T1=$T1"] println["alpha0 = " + (alpha0 -> "degrees")] println["delta0 = " + (delta0 -> "degrees")] } // Section 2 W1 = ((17.710 + 877.90003559 d) degrees) mod circle W2 = ((16.838 + 870.27003539 d) degrees) mod circle if debug { println["W1 = " + (W1 -> "degrees")] println["W2 = " + (W2 -> "degrees")] } // Section 3 [l0, b0, R] = Earth.getCoordinates[date] if debug { println["l0 = " + (l0->"degrees")] println["b0 = " + (b0->"degrees")] println["cos b0=" + cos[b0]] println["R = " + (R->"au")] } // Section 4 [l, b, r] = Jupiter.getCoordinates[date] if debug { println["l = " + (l->"degrees")] println["b = " + (b->"degrees")] println["r = " + (r->"au")] } // Section 5 // This uses the more complete equation 33.1 for distance (not the // simplified but similar one in eq. 42.2) but it shouldn't matter much // because b0 is probably very close to 0 which is why it was cut out of 42.2 [x,y,z,Delta] = distanceBetweenSphericalCoordinates[l, b, r, l0, b0, R] if debug { println["x = " + (x->"au")] println["y = " + (y->"au")] println["z = " + (z->"au")] println["Delta = " + (Delta->"au")] } // Section 6 deltal = -0.012990 degrees (Delta/au) / (r/au)^2 l = l + deltal if debug { println["deltal=" + (deltal->"degrees")] println["corrected l=" + (l->"degrees")] } // Section 7 [x,y,z,Delta] = distanceBetweenSphericalCoordinates[l, b, r, l0, b0, R] if debug { println["x = " + (x->"au")] println["y = " + (y->"au")] println["z = " + (z->"au")] println["Delta = " + (Delta->"au")] } // Section 8. This uses the higher-accuracy function 22.3 instead of 22.2 epsilon0 = meanObliquityOfEcliptic[date] if debug println["epsilon0 = " + (epsilon0 -> "degrees")] // Section 9. alphas = arctan[cos[epsilon0] sin[l] - sin[epsilon0] tan[b], cos[l]] deltas = arcsin[cos[epsilon0] sin[b] + sin[epsilon0] cos[b] sin[l]] if debug { println["alphas=" + (alphas->"degrees")] println["deltas=" + (deltas->"degrees")] } // Section 10 DS = arcsin[-sin[delta0] sin[deltas] - cos[delta0] cos[deltas] cos[alpha0 - alphas]] if debug println["DS=" + (DS->"degrees")] // Section 11 u = y cos[epsilon0] - z sin[epsilon0] v = y sin[epsilon0] + z cos[epsilon0] alpha = arctan[u, x] delta = arctan[v, sqrt[x^2 + u^2]] zeta = arctan[sin[delta0] cos[delta] cos[alpha0 - alpha] - sin[delta] cos[delta0], cos[delta] sin[alpha0 - alpha]] if debug { println["u=$u"] println["v=$v"] println["alpha=" + (alpha->"degrees")] println["delta=" + (delta->"degrees")] println["zeta= " + (zeta->"degrees")] } // Section 12 DE = arcsin[-sin[delta0] sin[delta] - cos[delta0] cos[delta] cos[alpha0 - alpha]] if debug println["DE=" + (DE->"degrees")] // Section 13 omega1 = (W1 - zeta - 5.07033 degrees (Delta / au)) mod circle omega2 = (W2 - zeta - 5.02626 degrees (Delta / au)) mod circle if debug { println["omega1=" + (omega1->"degrees")] println["omega2=" + (omega2->"degrees")] } // Section 14 C = 57.2958 degrees (2 r Delta + R^2 - r^2 - Delta^2) / (4 r Delta) C = C signum[sin[l - l0]] // Correct for sign omega1 = omega1 + C omega2 = omega2 + C if debug { println["C=" + (C->"degrees")] println["omega1=" + (omega1->"degrees")] println["omega2=" + (omega2->"degrees")] } // Section 15 [deltapsi, deltaepsilon] = highAccuracyNutation[date] epsilon = epsilon0 + deltaepsilon if debug { println["deltapsi =" + (deltapsi->"arcsec")] println["deltaepsilon=" + (deltaepsilon->"arcsec")] println["epsilon =" + (epsilon->"degrees")] } // Section 16 deltaalpha = 0.005693 degrees (cos[alpha] cos[l0] cos[epsilon] + sin[alpha] sin[l0]) / cos[delta] deltadelta = 0.005693 degrees (cos[l0] cos[epsilon] (tan[epsilon] cos[delta] - sin[alpha] sin[delta]) + cos[alpha] sin[delta] sin[l0]) alpha = (alpha + deltaalpha) mod circle delta = delta + deltadelta if debug { println["deltaalpha = " + (deltaalpha->"degrees")] println["deltadelta = " + (deltadelta->"degrees")] println["alpha = " + (alpha->"degrees")] println["delta = " + (delta->"degrees")] } // Section 17 // eq. 23.1 // THINK ABOUT: Unify this with the parts of // highAccuracyNutationInRADecl[date, ra, decl] // which aren't already done here alphaprime = alpha + (cos[epsilon] + sin[epsilon] sin[alpha] tan[delta]) deltapsi - (cos[alpha] tan[delta]) deltaepsilon deltaprime = delta + (sin[epsilon] cos[alpha]) deltapsi + (sin[alpha]) deltaepsilon alpha0prime = alpha0 + (cos[epsilon] + sin[epsilon] sin[alpha0] tan[delta0]) deltapsi - (cos[alpha0] tan[delta0]) deltaepsilon delta0prime = delta0 + (sin[epsilon] cos[alpha0]) deltapsi + (sin[alpha0]) deltaepsilon if debug { println["alphaprime = " + (alphaprime->"degrees")] println["deltaprime = " + (deltaprime->"degrees")] println["alpha0prime = " + (alpha0prime->"degrees")] println["delta0prime = " + (delta0prime->"degrees")] } // Section 18 // Eq. 42.4 P = arctan[cos[delta0prime] sin[alpha0prime - alphaprime], sin[delta0prime] cos[deltaprime] - cos[delta0prime] sin[deltaprime] cos[alpha0prime - alphaprime]] if debug println["P = " + (P->"degrees")] return [P, DS, DE, omega1, omega2] } /** This calculates the apparent positions of Jupiter's moons from Earth using the "E5" theory of the satellites due to Lieske. This is discussed in the "High accuracy" section in chapter 44 of Meeus. returns: an array of arrays of [X, Y, Z] coordinates of the position of moons I through IV as seen from Earth. The units are in multiples of jupiterradius_equatorial. X is the horizontal axis and measured positively to the west of Jupiter, with the x-axis coinciding with the equator of the planet. Y is the vertical axis and measured positively to the north of Jupiter, with the y-axis coinciding with Jupiter's rotation axis. Z is the depth component. If Z is negative, the planet is in front of Jupiter. */ class JupiterMoonsPosition[date] := { // Calculate geocentric coordinates of the Sun [L, B, R] = Planet.Earth.getCoordinates[date] sunSymbol = L + 180 degrees beta = -B // Calculate the heliocentric position of Jupiter [l, b, r] = Planet.Jupiter.getCoordinates[date] // Calculate the light time from Earth to Jupiter [x1, y1, z1, dist1] = Planet.Earth.apparentPosition[date, Planet.Jupiter] // Eq. 44.1 // To calculate relative to the sun (so we can predict eclipses, etc.) // we use R = 0 in these (see p. 315 in Meeus) x = r cos[b] cos[l] + R cos[sunSymbol] y = r cos[b] sin[l] + R sin[sunSymbol] z = r sin[b] + R sin[beta] // Eq. 44.2 dist = sqrt[x^2 + y^2 + z^2] long0 = arctan[y,x] beta0 = arctan[z, sqrt[x^2 + y^2]] tau = dist1 / c t = (JDE[date] - 2443000.5 days - tau) / day // Mean longitudes of the satellites l1 = (106.07719 + 203.488955790 t) degree l2 = (175.73161 + 101.374724735 t) degree l3 = (120.55883 + 50.317609207 t) degree l4 = ( 84.44459 + 21.571071177 t) degree // Longitudes of the perijoves p1 = ( 97.0881 + 0.16138586 t) degree p2 = (154.8663 + 0.04726307 t) degree p3 = (188.1840 + 0.00712734 t) degree p4 = (335.2868 + 0.00184000 t) degree // Longitudes of the nodes on the equatorial plane of Jupiter w1 = (312.3346 - 0.13279386 t) degree w2 = (100.4411 - 0.03263064 t) degree w3 = (119.1942 - 0.00717703 t) degree w4 = (322.6186 - 0.00175934 t) degree // Principal inequality in the longitude of Jupiter Gamma = 0.33033 degree * sin[(163.679 + 0.0010512 t) degree] + 0.03439 degree * sin[(34.486 - 0.0161713 t) degree] // Phase of free libration PhiL = (199.6766 + 0.17379190 t) degree // Longitude of the node of the equator of Jupiter on the ecliptic psi = (316.5182 - 0.00000208 t) degree // Mean anomalies of Jupiter and Saturn G = (30.23756 + 0.0830925701 t) degree + Gamma G1 = (31.97853 + 0.0334597339 t) degree // Longitude of the perihelion of Jupiter PIj = 13.469942 degree sigma = new array L = new array B = new array R = new array K = new array // Satellite I, Io sigma@1 = (+ 0.47259 * sin[2 (l1 - l2)] + - 0.03478 * sin[p3 - p4] + + 0.01081 * sin[l2 - 2 l3 + p3] + + 0.00738 * sin[PhiL] + + 0.00713 * sin[l2 - 2 l3 + p2] + - 0.00674 * sin[p1 + p3 - 2 PIj - 2 G] + + 0.00666 * sin[l2 - 2 l3 + p4] + + 0.00445 * sin[l1 - p3] + - 0.00354 * sin[l1 - l2] + - 0.00317 * sin[2 psi - 2 PIj] + + 0.00265 * sin[l1 - p4] + - 0.00186 * sin[G] + + 0.00162 * sin[p2 - p3] + + 0.00158 * sin[4 (l1 - l2)] + - 0.00155 * sin[l1 - l3] + - 0.00138 * sin[psi + w3 - 2 PIj - 2 G] + - 0.00115 * sin[2 (l1 - 2 l2 + w2)] + + 0.00089 * sin[p2 - p4] + + 0.00085 * sin[l1 + p3 - 2 PIj - 2 G] + + 0.00083 * sin[w2 - w3] + + 0.00053 * sin[psi - w2]) degree L@1 = l1 + sigma@1 B@1 = arctan[(+ 0.0006393 * sin[L@1 - w1] + + 0.0001825 * sin[L@1 - w2] + + 0.0000329 * sin[L@1 - w3] + - 0.0000311 * sin[L@1 - psi] + + 0.0000093 * sin[L@1 - w4] + + 0.0000075 * sin[3 L@1 - 4 l2 - 1.9927 sigma@1 + w2] + + 0.0000046 * sin[L@1 + psi - 2 PIj - 2 G])] // In equatorial radii of Jupiter R@1 = (5.90569 * (1.0 + - 0.0041339 * cos[2 (l1 - l2)] + - 0.0000387 * cos[l1 - p3] + - 0.0000214 * cos[l1 - p4] + + 0.0000170 * cos[l1 - l2] + - 0.0000131 * cos[4 (l1 - l2)] + + 0.0000106 * cos[l1 - l3] + - 0.0000066 * cos[l1 + p3 - 2 PIj - 2 G])) K@1 = 17295 // Satellite II, Europa sigma@2 = (+ 1.06476 * sin[2 (l2 - l3)] + + 0.04256 * sin[l1 - 2 l2 + p3] + + 0.03581 * sin[l2 - p3] + + 0.02395 * sin[l1 - 2 l2 + p4] + + 0.01984 * sin[l2 - p4] + - 0.01778 * sin[PhiL] + + 0.01654 * sin[l2 - p2] + + 0.01334 * sin[l2 - 2 l3 + p2] + + 0.01294 * sin[p3 - p4] + - 0.01142 * sin[l2 - l3] + - 0.01057 * sin[G] + - 0.00775 * sin[2 (psi - PIj)] + + 0.00524 * sin[2 (l1 - l2)] + - 0.00460 * sin[l1 - l3] + + 0.00316 * sin[psi - 2 G + w3 - 2 PIj] + - 0.00203 * sin[p1 + p3 - 2 PIj - 2 G] + + 0.00146 * sin[psi - w3] + - 0.00145 * sin[2 G] + + 0.00125 * sin[psi - w4] + - 0.00115 * sin[l1 - 2 l3 + p3] + - 0.00094 * sin[2 (l2 - w2)] + + 0.00086 * sin[2 (l1 - 2 l2 + w2)] + - 0.00086 * sin[5 * G1 - 2 G + 52.225 degree] + - 0.00078 * sin[l2 - l4] + - 0.00064 * sin[3 l3 - 7 l4 + 4 p4] + + 0.00064 * sin[p1 - p4] + - 0.00063 * sin[l1 - 2 l3 + p4] + + 0.00058 * sin[w3 - w4] + + 0.00056 * sin[2 (psi - PIj - G)] + + 0.00056 * sin[2 (l2 - l4)] + + 0.00055 * sin[2 (l1 - l3)] + + 0.00052 * sin[3 l3 - 7 l4 + p3 + 3 p4] + - 0.00043 * sin[l1 - p3] + + 0.00041 * sin[5.0 * (l2 - l3)] + + 0.00041 * sin[p4 - PIj] + + 0.00032 * sin[w2 - w3] + + 0.00032 * sin[2 (l3 - G - PIj)]) degree L@2 = l2 + sigma@2 B@2 = arctan[(+ 0.0081004 * sin[L@2 - w2] + + 0.0004512 * sin[L@2 - w3] + - 0.0003284 * sin[L@2 - psi] + + 0.0001160 * sin[L@2 - w4] + + 0.0000272 * sin[l1 - 2 l3 + 1.0146 sigma@2 + w2] + - 0.0000144 * sin[L@2 - w1] + + 0.0000143 * sin[L@2 + psi - 2 PIj - 2 G] + + 0.0000035 * sin[L@2 - psi + G] + - 0.0000028 * sin[l1 - 2 l3 + 1.0146 sigma@2 + w3])] R@2 = 9.39657 * (1.0 + + 0.0093848 * cos[l1 - l2] + - 0.0003116 * cos[l2 - p3] + - 0.0001744 * cos[l2 - p4] + - 0.0001442 * cos[l2 - p2] + + 0.0000553 * cos[l2 - l3] + + 0.0000523 * cos[l1 - l3] + - 0.0000290 * cos[2 (l1 - l2)] + + 0.0000164 * cos[2 (l2 - w2)] + + 0.0000107 * cos[l1 - 2 l3 + p3] + - 0.0000102 * cos[l2 - p1] + - 0.0000091 * cos[2 (l1 - l3)]) K@2 = 21819 // Satellite III, Ganymede sigma@3 = (+ 0.16490 * sin[l3 - p3] + + 0.09081 * sin[l3 - p4] + - 0.06907 * sin[l2 - l3] + + 0.03784 * sin[p3 - p4] + + 0.01846 * sin[2 (l3 - l4)] + - 0.01340 * sin[G] + - 0.01014 * sin[2 (psi - PIj)] + + 0.00704 * sin[l2 - 2 l3 + p3] + - 0.00620 * sin[l2 - 2 l3 + p2] + - 0.00541 * sin[l3 - l4] + + 0.00381 * sin[l2 - 2 l3 + p4] + + 0.00235 * sin[psi - w3] + + 0.00198 * sin[psi - w4] + + 0.00176 * sin[PhiL] + + 0.00130 * sin[3 (l3 - l4)] + + 0.00125 * sin[l1 - l3] + - 0.00119 * sin[5.0 * G1 - 2 G + 52.225 degrees] + + 0.00109 * sin[l1 - l2] + - 0.00100 * sin[3 l3 - 7 l4 + 4 p4] + + 0.00091 * sin[w3 - w4] + + 0.00080 * sin[3 l3 - 7 l4 + p3 + 3 p4] + - 0.00075 * sin[2 l2 - 3 l3 + p3] + + 0.00072 * sin[p1 + p3 - 2 PIj - 2 G] + + 0.00069 * sin[p4 - PIj] + - 0.00058 * sin[2 l3 - 3 l4 + p4] + - 0.00057 * sin[l3 - 2 l4 + p4] + + 0.00056 * sin[l3 + p3 - 2 PIj - 2 G] + - 0.00052 * sin[l2 - 2 l3 + p1] + - 0.00050 * sin[p2 - p3] + + 0.00048 * sin[l3 - 2 l4 + p3] + - 0.00045 * sin[2 l2 - 3 l3 + p4] + - 0.00041 * sin[p2 - p4] + - 0.00038 * sin[2 G] + - 0.00037 * sin[p3 - p4 + w3 - w4] + - 0.00032 * sin[3 l3 - 7 l4 + 2 p3 + 2 p4] + + 0.00030 * sin[4 (l3 - l4)] + + 0.00029 * sin[l3 + p4 - 2 PIj - 2 G] + - 0.00028 * sin[w3 + psi - 2 PIj - 2 G] + + 0.00026 * sin[l3 - PIj - G] + + 0.00024 * sin[l2 - 3 l3 + 2 l4] + + 0.00021 * sin[2 (l3 - PIj - G)] + - 0.00021 * sin[l3 - p2] + + 0.00017 * sin[2 (l3 - p3)]) degree L@3 = l3 + sigma@3 B@3 = arctan[(+ 0.0032402 * sin[L@3 - w3] + - 0.0016911 * sin[L@3 - psi] + + 0.0006847 * sin[L@3 - w4] + - 0.0002797 * sin[L@3 - w2] + + 0.0000321 * sin[L@3 + psi - 2 PIj - 2 G] + + 0.0000051 * sin[L@3 - psi + G] + - 0.0000045 * sin[L@3 - psi - G] + - 0.0000045 * sin[L@3 + psi - 2 PIj] + + 0.0000037 * sin[L@3 + psi - 2 PIj - 3 G] + + 0.0000030 * sin[2 l2 - 3 L@3 + 4.03 sigma@3 + w2] + - 0.0000021 * sin[2 l2 - 3 L@3 + 4.03 sigma@3 + w3])] R@3 = 14.98832 * (1.0 + - 0.0014388 * cos[l3 - p3] + - 0.0007919 * cos[l3 - p4] + + 0.0006342 * cos[l2 - l3] + - 0.0001761 * cos[2 (l3 - l4)] + + 0.0000294 * cos[l3 - l4] + - 0.0000156 * cos[3 (l3 - l4)] + + 0.0000156 * cos[l1 - l3] + - 0.0000153 * cos[l1 - l2] + + 0.0000070 * cos[2 l2 - 3 l3 + p3] + - 0.0000051 * cos[l3 + p3 - 2 PIj - 2 G]) K@3 = 27558 // Satellite IV, Callisto sigma@4 = (+ 0.84287 * sin[l4 - p4] + + 0.03431 * sin[p4 - p3] + - 0.03305 * sin[2 (psi - PIj)] + - 0.03211 * sin[G] + - 0.01862 * sin[l4 - p3] + + 0.01186 * sin[psi - w4] + + 0.00623 * sin[l4 + p4 - 2 G - 2 PIj] + + 0.00387 * sin[2 (l4 - p4)] + - 0.00284 * sin[5 * G1 - 2 G + 52.225 degree] + - 0.00234 * sin[2 (psi - p4)] + - 0.00223 * sin[l3 - l4] + - 0.00208 * sin[l4 - PIj] + + 0.00178 * sin[psi + w4 - 2 p4] + + 0.00134 * sin[p4 - PIj] + + 0.00125 * sin[2 (l4 - G - PIj)] + - 0.00117 * sin[2 G] + - 0.00112 * sin[2 (l3 - l4)] + + 0.00107 * sin[3 l3 - 7 l4 + 4 p4] + + 0.00102 * sin[l4 - G - PIj] + + 0.00096 * sin[2 l4 - psi - w4] + + 0.00087 * sin[2 (psi - w4)] + - 0.00085 * sin[3 l3 - 7 l4 + p3 + 3 p4] + + 0.00085 * sin[l3 - 2 l4 + p4] + - 0.00081 * sin[2 (l4 - psi)] + + 0.00071 * sin[l4 + p4 - 2 PIj - 3 G] + + 0.00061 * sin[l1 - l4] + - 0.00056 * sin[psi - w3] + - 0.00054 * sin[l3 - 2 l4 + p3] + + 0.00051 * sin[l2 - l4] + + 0.00042 * sin[2 (psi - G - PIj)] + + 0.00039 * sin[2 (p4 - w4)] + + 0.00036 * sin[psi + PIj - p4 - w4] + + 0.00035 * sin[2 G1 - G + 188.37 degree] + - 0.00035 * sin[l4 - p4 + 2 PIj - 2 psi] + - 0.00032 * sin[l4 + p4 - 2 PIj - G] + + 0.00030 * sin[2 G1 - 2 G + 149.15 degree] + + 0.00029 * sin[3 l3 - 7 l4 + 2 p3 + 2 p4] + + 0.00028 * sin[l4 - p4 + 2 psi - 2 PIj] + - 0.00028 * sin[2 (l4 - w4)] + - 0.00027 * sin[p3 - p4 + w3 - w4] + - 0.00026 * sin[5.0 * G1 - 3 G + 188.37 degree] + + 0.00025 * sin[w4 - w3] + - 0.00025 * sin[l2 - 3 l3 + 2 l4] + - 0.00023 * sin[3 (l3 - l4)] + + 0.00021 * sin[2 l4 - 2 PIj - 3 G] + - 0.00021 * sin[2 l3 - 3 l4 + p4] + + 0.00019 * sin[l4 - p4 - G] + - 0.00019 * sin[2 l4 - p3 - p4] + - 0.00018 * sin[l4 - p4 + G] + - 0.00016 * sin[l4 + p3 - 2 PIj - 2 G]) degree L@4 = l4 + sigma@4 B@4 = arctan[(- 0.0076579 * sin[L@4 - psi] + + 0.0044134 * sin[L@4 - w4] + - 0.0005112 * sin[L@4 - w3] + + 0.0000773 * sin[L@4 + psi - 2 PIj - 2 G] + + 0.0000104 * sin[L@4 - psi + G] + - 0.0000102 * sin[L@4 - psi - G] + + 0.0000088 * sin[L@4 + psi - 2 PIj - 3 G] + - 0.0000038 * sin[L@4 + psi - 2 PIj - G])] R@4 = 26.36273 * (1.0 + - 0.0073546 * cos[l4 - p4] + + 0.0001621 * cos[l4 - p3] + + 0.0000974 * cos[l3 - l4] + - 0.0000543 * cos[l4 + p4 - 2 PIj - 2 G] + - 0.0000271 * cos[2 (l4 - p4)] + + 0.0000182 * cos[l4 - PIj] + + 0.0000177 * cos[2 (l3 - l4)] + - 0.0000167 * cos[2 l4 - psi - w4] + + 0.0000167 * cos[psi - w4] + - 0.0000155 * cos[2 (l4 - PIj - G)] + + 0.0000142 * cos[2 (l4 - psi)] + + 0.0000105 * cos[l1 - l4] + + 0.0000092 * cos[l2 - l4] + - 0.0000089 * cos[l4 - PIj - G] + - 0.0000062 * cos[l4 + p4 - 2 PIj - 3 G] + + 0.0000048 * cos[2 (l4 - w4)]) K@4 = 36548 // println[sigma -> "deg"] T0 = (JDE[date] / day - 2433282.423) / 36525 // Precession in longitude from the epoch B1950.0 P = (1.3966626 T0 + 0.0003088 T0^2) degree for i=1 to 4 L@i = L@i + P psi = psi + P // T is the time in centuries since 1900.0 // This is sort of unclear in the text; unusual for Meeus T = (date - #1900#) / century // Inclination of Jupiter's axis of rotation on the orbital plane I = (3.120262 + 0.0006 T) degree X = new array Y = new array Z = new array for i = 1 to 4 { X@i = R@i cos[L@i - psi] cos[B@i] Y@i = R@i sin[L@i - psi] cos[B@i] Z@i = R@i sin[B@i] } // Consider a "fifth, fictitious satellite" situated at unit (in units of // Jupiter equatorial radii) distance from the center of Jupiter, above the // planet's north pole X@0 = 0 Y@0 = 0 Z@0 = 1 // We need Omega, the longitude of the node of Jupiter, referred to the // mean equinox of the date from Chapter 31 T = (JDE[date] / days - 2451545.0) / 36525 // eq. 31.1 Omega = (100.464407 + 1.0209774 T + 0.00040315 T^2 + 0.000000404 T^3) degree Phi = psi - Omega // We need the inclination of the orbit of Jupiter i from chapter 31 incl = (1.303267 - 0.0054965 T + 0.00000466 T^2 - 0.000000002 T^3) degree results = new array // We're doing all the following calculations for the 4 planets and the // fifth "fictitious" planet (at index 0) for i = 0 to 4 { // Rotation toward Jupiter's orbital plane A1 = X@i B1 = Y@i cos[I] - Z@i sin[I] C1 = Y@i sin[I] + Z@i cos[I] // Rotation towards the ascending node of the orbit of Jupiter A2 = A1 cos[Phi] - B1 sin[Phi] B2 = A1 sin[Phi] + B1 cos[Phi] C2 = C1 // Rotation towards the plane of the ecliptic A3 = A2 B3 = B2 cos[incl] - C2 sin[incl] C3 = B2 sin[incl] + C2 cos[incl] // Rotation toward the vernal equinox A4 = A3 cos[Omega] - B3 sin[Omega] B4 = A3 sin[Omega] + B3 cos[Omega] C4 = C3 A5 = A4 sin[long0] - B4 cos[long0] B5 = A4 cos[long0] + B4 sin[long0] C5 = C4 A6 = A5 B6 = C5 sin[beta0] + B5 cos[beta0] C6 = C5 cos[beta0] - B5 sin[beta0] // Calculated for the fifth fictitious planet. if i == 0 D = arctan[A6, C6] else { X@i = A6 cos[D] - C6 sin[D] Y@i = A6 sin[D] + C6 cos[D] Z@i = B6 // Now correct for differential light time X@i = X@i + abs[Z@i] / K@i sqrt[1 - (X@i / R@i)^2] // Calculate for the perspective effect // The 2095 is the number of Jupiter equatorial radii in an au. // A more correct modern figure is 2092.5 // given by au / jupiterradius_equatorial W = (dist/au) / ((dist/au) + Z@i/2095) X@i = X@i * W Y@i = Y@i * W results.push[[X@i, Y@i, Z@i]] // println["$i\t" + X@i + "\t" + Y@i + "\t" + Z@i] } } return results } /** Draw Jupiter and its moons rotated by the specified angle counterclockwise. */ class drawJupiterMoons[date, cx, cy, radius, angle=0 degrees, drawAxis=true, fillJupiter=false] := { results = JupiterMoonsPosition[date] g = new graphics g.save[] g.rotate[-angle, cx, cy] if drawAxis g.add[drawRotationAxis[cx, cy, radius * jupiterradius_polar / jupiterradius_equatorial, 0 deg]] if fillJupiter g.fillEllipseCenter[cx, cy, 2 radius, 2 radius * jupiterradius_polar / jupiterradius_equatorial] else g.drawEllipseCenter[cx, cy, 2 radius, 2 radius * jupiterradius_polar / jupiterradius_equatorial] for [x, y, z] = results g.fillEllipseCenter[cx + x radius, cy - y radius, .1 radius, .1 radius] g.restore[] return g } /** Draw Jupiter moons as they would be seen from a specific location on the surface of the earth. The zenith is up. */ class drawJupiterMoonsRelativeToZenith[date, lat, long, cx, cy, radius, drawAxis=true, fillJupiter=false] := { angle = JupiterAxisAngleRelativeToZenith[date, lat, long] return drawJupiterMoons[date, cx, cy, radius, angle, drawAxis, fillJupiter] } /** Draw Jupiter moons rotated relative to North. */ class drawJupiterMoonsRelativeToNorth[date, cx, cy, radius, drawAxis=true, fillJupiter=false] := { angle = JupiterAxisAngle[date] return drawJupiterMoons[date, cx, cy, radius, angle, drawAxis, fillJupiter] } /** Draw Jupiter moons without rotation. */ class drawJupiterMoonsUnrotated[date, cx, cy, radius, drawAxis=false, fillJupiter=false] := { return drawJupiterMoons[date, cx, cy, radius, 0 deg, drawAxis, fillJupiter] } // The position angle of Jupiter's axis of rotation (this is *not* the // illuminated axis,) reckoned eastward from the North Point of Jupiter. // (That is, relative to the earth's North/South // axis projected onto Jupiter's disc.) // See chapter 43 of Meeus. class JupiterAxisAngle[date] := { [axis] = JupiterEphemeris[date] return axis } /** Jupiter axis angle relative to the zenith. (this is *not* the illuminated axis,) reckoned eastward from the zenith. from the zenith. Note that this gives the direction *counterclockwise* from the zenith as seen from an observer standing on earth. The "eastward" terminology is confusing. */ class JupiterAxisAngleRelativeToZenith[date, lat, long, heightAboveSeaLevel = 0 m] := { axis = JupiterAxisAngle[date] [ra, decl, distance] = Planet.Jupiter.geocentricCoordinates[date] [ra, decl] = correctRADeclForParallax[date, ra, decl, lat, long, distance,heightAboveSeaLevel] q = parallacticAngle[date, lat, long, ra, decl] return axis - q } // Saturn Ephemeris calculations. See chapter 45 of Meeus. class SaturnEphemeris[date] := { T = meeusT[date] //println["T=$T"] // Step 1. These are equations 45.1 i = (28.075216 - 0.012998 T + 0.000004 T^2) degrees omega = (169.508470 + 1.394681 T + 0.000412 T^2) degrees //println["i=" + (i->"degrees")] //println["omega=" + (omega->"degrees")] // Step 2. [l0, b0, r0] = Planet.Earth.getCoordinates[date] //println["l0=" + (l0->"degrees")] //println["b0=" + (b0->"degrees")] //println["r0=" + (r0->"au")] // Steps 3 and 4 [x, y, z, d, L0prime, l, b, r] = Planet.Earth.apparentPosition[date, Planet.Saturn] //println["l=" + (l->"degrees")] //println["b=" + (b->"degrees")] //println["r=" + (r->"au")] //println["x=" + (x->"au")] //println["y=" + (y->"au")] //println["z=" + (z->"au")] //println["d=" + (d->"au")] // Step 5 lambda = arctan[y,x] beta = arctan[z, sqrt[x^2+y^2]] //println["lambda=" + (lambda->"degrees")] //println["beta=" + (beta->"degrees")] // Step 6 B = arcsin[sin[i] cos[beta] sin[lambda-omega] - cos[i] sin[beta]] aAxis = 375.35 arcsec / (d/au) bAxis = aAxis sin[abs[B]] //println["B=" + (B->"degrees")] //println["a=" + (aAxis->"arcsec")] //println["b=" + (bAxis->"arcsec")] // Step 7 N = (113.6655 + 0.8771 T) degrees //println["N=" + (N->"degrees")] rau = r/au lprime = l - (0.01759 degrees/rau) bprime = b - 0.000764 degrees cos[l-N]/rau //println["lprime=" + (lprime->"degrees")] //println["bprime=" + (bprime->"degrees")] // Step 8 Bprime = arcsin[sin[i] cos[bprime] sin[lprime-omega] - cos[i] sin[bprime]] //println["Bprime=" + (Bprime->"degrees")] // Step 9 U1 = arctan[sin[i] sin[bprime] + cos[i] cos[bprime] sin[lprime-omega], cos[bprime] cos[lprime-omega]] U2 = arctan[sin[i] sin[beta] + cos[i] cos[beta] sin[lambda-omega], cos[beta] cos[lambda-omega]] deltaU = abs[U1-U2] //println["U1=" + (U1->"degrees")] //println["U2=" + (U2->"degrees")] //println["deltaU=" + (deltaU->"degrees")] // Step 10 [deltapsi, deltaepsilon] = highAccuracyNutation[date] epsilon = trueObliquityOfEcliptic[date] //println["deltapsi = " + (deltapsi->"arcsec")] //println["deltaepsilon = " + (deltaepsilon->"arcsec")] //println["epsilon = " + (epsilon->"degrees")] // Step 11 lambda0 = omega - 90 degrees beta0 = 90 degrees - i //println["lambda0=" + (lambda0->"degrees")] //println["beta0 =" + (beta0->"degrees")] // Step 12 lambda = lambda + 0.005693 deg cos[l0-lambda] / cos[beta] beta = beta + 0.005693 deg sin[l0-lambda] sin[beta] //println["corrected lambda=" + ((lambda mod circle)->"degrees")] //println["corrected beta =" + (beta->"degrees")] // Step 13 lambda0 = lambda0 + deltapsi lambda = lambda + deltapsi //println["corrected lambda0=" + (lambda0->"degrees")] //println["corrected lambda= " + ((lambda mod circle)->"degrees")] // Step 14 [alpha0, delta0] = eclipticalToRADecl[lambda0, beta0, epsilon] [alpha, delta] = eclipticalToRADecl[lambda, beta, epsilon] //println["alpha0 =" + (alpha0->"degrees")] //println["delta0 =" + (delta0->"degrees")] //println["alpha =" + ((alpha mod circle)->"degrees")] //println["delta =" + (delta->"degrees")] // Step 15 P = arctan[cos[delta0] sin[alpha0 - alpha], sin[delta0] cos[delta] - cos[delta0] sin[delta] cos[alpha0-alpha]] //println["P = " + (P->"degrees")] return [deltaU, B, P, aAxis, bAxis] } // The position angle of Saturn's axis of rotation (this is *not* the // illuminated axis,) reckoned eastward from the North Point of Saturn. // (That is, relative to the earth's North/South // axis projected onto Saturn's disc.) // See chapter 45 of Meeus. class SaturnAxisAngle[date] := { [deltaU, B, P, a, b] = SaturnEphemeris[date] return P } /** Draw Saturn and its rings without rotated by the specified angle counterclockwise. You usually would call one of the methods following instead. */ class drawSaturn[date, cx, cy, radius, angle=0 degrees, drawAxis=false, fill=false] := { [deltaU, B, P, a, b] = SaturnEphemeris[date] g = new graphics g.save[] g.rotate[-angle, cx, cy] if fill g.fillEllipseCenter[cx, cy, 2 radius, 2 radius] // Draw planet filled else g.drawEllipseCenter[cx, cy, 2 radius, 2 radius] // Draw planet radiusAngle = Planet.Saturn.radiusAngle[date] scale = radius / radiusAngle // Outer edge of outer ring g.drawEllipseCenter[cx, cy, a scale, b scale] // inner edge of outer ring g.drawEllipseCenter[cx, cy, .8801 a scale, .8801 b scale] // Outer edge of inner ring g.drawEllipseCenter[cx, cy, .8599 a scale, .8599 b scale] // inner edge of inner ring g.drawEllipseCenter[cx, cy, .6650 a scale, .6650 b scale] g.restore[] return g } /** Draw Saturn as it would be seen from a specific location on the surface of the earth. The zenith is up. */ class drawSaturnRelativeToZenith[date, lat, long, cx, cy, radius, drawAxis=true, fill=false] := { P = SaturnAxisAngleRelativeToZenith[date, lat, long, 0 m] return drawSaturn[date, cx, cy, radius, P, drawAxis, fill] } /** Draw Saturn as it would be seen from a specific location on the surface of the earth. The zenith is up. */ class drawSaturnRelativeToNorth[date, cx, cy, radius, drawAxis=true, fill=false] := { P = SaturnAxisAngle[date] return drawSaturn[date, cx, cy, radius, P, drawAxis, fill] } /** Saturn axis angle relative to the zenith. (this is *not* the illuminated axis,) reckoned eastward from the zenith. from the zenith. Note that this gives the direction *counterclockwise* from the zenith as seen from an observer standing on earth. The "eastward" terminology is confusing. */ class SaturnAxisAngleRelativeToZenith[date, lat, long, heightAboveSeaLevel=0 m] := { P = SaturnAxisAngle[date] [ra, decl, distance] = Planet.Saturn.geocentricCoordinates[date] [ra, decl] = correctRADeclForParallax[date, ra, decl, lat, long, distance, heightAboveSeaLevel] q = parallacticAngle[date, lat, long, ra, decl] return P - q } class var Mercury = new Planet["Mercury", MercuryHeliocentricCoordinates, MercuryMagnitude, mercuryradius, mercurymass] class var Venus = new Planet["Venus", VenusHeliocentricCoordinates, VenusMagnitude, venusradius, venusmass] class var Earth = new Planet["Earth", EarthHeliocentricCoordinates, EarthMagnitude, earthradius, earthmass] class var Mars = new Planet["Mars", MarsHeliocentricCoordinates, MarsMagnitude, marsradius, marsmass] class var Jupiter = new Planet["Jupiter", JupiterHeliocentricCoordinates, JupiterMagnitude, jupiterradius, jupitermass] class var Saturn = new Planet["Saturn", SaturnHeliocentricCoordinates, SaturnMagnitude, saturnradius, saturnmass] class var Uranus = new Planet["Uranus", UranusHeliocentricCoordinates, UranusMagnitude, uranusradius, uranusmass] class var Neptune = new Planet["Neptune", NeptuneHeliocentricCoordinates, NeptuneMagnitude, neptuneradius, neptunemass] class var planets = [Planet.Mercury, Planet.Venus, Planet.Earth, Planet.Mars, Planet.Jupiter, Planet.Saturn, Planet.Uranus, Planet.Neptune] class var planetsMinusEarth = [Planet.Mercury, Planet.Venus, Planet.Mars, Planet.Jupiter, Planet.Saturn, Planet.Uranus, Planet.Neptune] } // End of Planet class. // Calculate the distance between planets given their // spherical coordinates. If using this for calculating geocentric // coordinates, the coordinates of earth should be the second set of // coordinates (L0, B0, R0). // arguments: // L, L0: heliocentric longitude // B, B0: heliocentric latitude // R, R0: distance from sun // // // returns: // [x,y,z,d] // Where x,y,z are the componentwise distances, and d is the total distance. distanceBetweenSphericalCoordinates[L, B, R, L0, B0, R0] := { // eq. 33.1 in Meeus x = R cos[B] cos[L] - R0 cos[B0] cos[L0] y = R cos[B] sin[L] - R0 cos[B0] sin[L0] z = R sin[B] - R0 sin[B0] d = sqrt[x^2 + y^2 + z^2] return [x,y,z,d] } // Returns the true distance between two planets at the specified date. trueDistance[date, fromPlanet is Planet, toPlanet is Planet] := { [L0, B0, R0] = fromPlanet.getCoordinates[date] // println["L0=$L0, B0=$B0, R0=$R0"] [L, B, R] = toPlanet.getCoordinates[date] // println["L=$L, B=$B, R=$R"] [x,y,z,d] = distanceBetweenSphericalCoordinates[L, B, R, L0, B0, R0] return d } // Returns the corrections to lambda and beta when converting between // heliocentric coordinates referred to the dynamical ecliptic to the FK5 // system. // returns: // [deltaL, deltaB] // Meeus eq. 32.3 correctionDynamicalToFK5[date, L, B] := { T = meeusT[date] Lprime = L - 1.397 degrees T - 0.00031 degrees T^2 deltaL = (0.09033 + 0.03916 cos[Lprime] + sin[Lprime]) arcsec deltaB = 0.03916 arcsec (cos[Lprime] - sin[Lprime]) return [deltaL, deltaB] } // Returns the high-accuracy *apparent* longitude of the sun, as seen from // earth, corrected for aberration and nutation. highAccuracySunApparentLongitude[date] := { [L,B,R] = Planet.Earth.getCoordinates[date] [deltapsi, deltaepsilon] = highAccuracyNutation[date] // See Meeus 25.10 which is noted to not really be exact, so we try // to make it more exact by calculating the eccentricity at the date. eccentricity = earthEccentricity[date] aberration = -20.49552 arcsec * (1 - eccentricity^2) / (R/au) // println["aberration is " + (aberration -> "arcsec")] FK5correction = -0.09033 arcsec // (Meeus 25.9) return L + aberration + deltapsi + FK5correction } // --------------------------------------------------------------------- "planets.frink included successfully"

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Alan Eliasen was born 20217 days, 13 hours, 9 minutes ago.