// 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] 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] } // 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 * cos[5.29985761538 + 175376.64639941938 * tau] + 7e-11 * cos[1.99199973963 + 88285.54670482199 * tau] + 7e-11 * cos[1.17954845926 + 209232.91609768818 * tau] + 7e-11 * cos[5.89987227798 + 53757.76563143139 * tau] + 6e-11 * cos[3.70620257597 + 182608.20844401857 * tau] + 6e-11 * cos[2.59291082745 + 52186.8519834123 * tau] + 6e-11 * cos[5.14998820697 + 130364.73410930368 * tau] + 7e-11 * cos[3.67760971466 + 229129.79622501558 * tau] + 6e-11 * cos[5.55141392261 + 207747.62539098498 * tau] + 6e-11 * cos[5.50261387027 + 26238.95081141709 * tau] + 6e-11 * cos[3.04358438526 + 83591.18553310538 * tau] + 6e-11 * cos[2.17221286567 + 27573.88326263939 * tau] + 7e-11 * cos[5.19369769843 + 91919.56991589899 * tau] + 6e-11 * cos[2.25676540184 + 118007.47305747319 * tau] + 8e-11 * cos[4.05701479596 + 60170.3347251726 * tau] + 6e-11 * cos[2.30839350284 + 27353.47062020059 * tau] + 7e-11 * cos[0.19039890992 + 117077.06600107178 * tau] + 8e-11 * cos[1.46359871781 + 74935.57376844239 * tau] + 6e-11 * cos[2.24614788518 + 131079.41299418498 * tau] + 6e-11 * cos[4.63624566094 + 57369.17334194619 * tau] + 6e-11 * cos[1.42098831764 + 26026.177166834 * tau] + 6e-11 * cos[1.4831694091 + 26191.68533015479 * tau] + 6e-11 * cos[3.27000773736 + 104557.79811473397 * tau] + 6e-11 * cos[0.04385251847 + 182634.99175191917 * tau] + 6e-11 * cos[4.54553590954 + 26235.9818660005 * tau] + 6e-11 * cos[3.92166942434 + 182402.02289558138 * tau] + 6e-11 * cos[6.2231897778 + 261988.40996783535 * tau] + 7e-11 * cos[1.85784871452 + 28096.46068073319 * tau] + 6e-11 * cos[2.25546242417 + 79955.87509422498 * tau] + 7e-11 * cos[0.89727780818 + 28213.78054895339 * tau] + 7e-11 * cos[5.46082675395 + 76352.50994150538 * tau] + 7e-11 * cos[4.68484570125 + 129971.55071751658 * tau] + 8e-11 * cos[3.9435380026 + 77929.85348395319 * tau] + 7e-11 * cos[5.55018242223 + 148532.89040742096 * tau] + 7e-11 * cos[0.78772735446 + 104044.0549453272 * tau] + 7e-11 * cos[4.38077281912 + 87648.55043279778 * tau] + 7e-11 * 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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 + 1243.4876016784 * tau] + 7e-11 * cos[0.15300257128 + 2014.9816717978 * tau] + 5e-11 * cos[2.79143401592 + 51315.49635439559 * tau] + 7e-11 * cos[2.08385155566 + 104819.57755665119 * tau] + 5e-11 * cos[6.03800330793 + 84944.93427812219 * tau] + 7e-11 * cos[6.25185953525 + 74935.57376844239 * tau] + 6e-11 * cos[2.7051772072 + 52492.19815280499 * tau] + 5e-11 * cos[6.28085632767 + 31415.379249957 * tau] + 7e-11 * cos[6.02219529486 + 156507.74908854539 * tau] + 6e-11 * cos[4.29792825666 + 52812.8025551726 * tau] + 6e-11 * cos[3.74091556543 + 155475.15046625677 * tau] + 8e-11 * cos[4.96432797037 + 52396.2189255872 * tau] + 6e-11 * cos[5.0693978209 + 51841.950342379 * tau] + 6e-11 * cos[2.61401898803 + 80382.47328510099 * tau] + 6e-11 * cos[5.03417122369 + 78786.28684281638 * tau] + 6e-11 * cos[0.36162525319 + 26823.77965510599 * tau] + 6e-11 * cos[0.15202166498 + 51859.41441349179 * tau] + 6e-11 * cos[6.23319937932 + 182619.20332637738 * tau] + 6e-11 * cos[3.65663654813 + 70383.6202713836 * tau] + 6e-11 * cos[3.99809593088 + 50380.54783942739 * tau] + 7e-11 * cos[2.89745929648 + 230239.17477710896 * tau] + 6e-11 * cos[3.49486002612 + 66653.15746634839 * tau] + 6e-11 * cos[4.09613031145 + 53867.97195265079 * tau] + 6e-11 * cos[3.6498851175 + 151199.94274106238 * tau] + 6e-11 * cos[4.08906102427 + 91919.56991589899 * tau] + 6e-11 * cos[2.04066112896 + 156534.53239644598 * tau] + 7e-11 * cos[3.15542325331 + 53029.0026649004 * tau] + 6e-11 * cos[3.48561717935 + 61560.64729122359 * tau] + 7e-11 * cos[0.762437199 + 183674.70392120858 * tau] + 7e-11 * cos[2.36435599398 + 58220.0348645238 * tau] + 6e-11 * cos[4.82915128356 + 79859.89586700719 * tau] + 7e-11 * cos[0.37969316028 + 102872.74599223239 * tau] + 6e-11 * cos[4.84865195534 + 213255.17862965238 * tau] + 7e-11 * cos[1.50054882304 + 78313.70604662679 * tau] + 6e-11 * cos[0.27837413876 + 76137.83201734339 * tau] + 7e-11 * cos[5.53062936347 + 917.9302859818 * tau] + 6e-11 * cos[4.22528261713 + 79330.20490191258 * tau] + 6e-11 * cos[4.9361756676 + 215473.93573383916 * tau] + 6e-11 * cos[0.45279066685 + 225687.22128005016 * tau] + 7e-11 * cos[2.39268679107 + 80596.9058175946 * tau] + 6e-11 * cos[0.30098706976 + 54824.2611086214 * tau] + 7e-11 * cos[4.32694078051 + 104248.51979207818 * tau] + 7e-11 * cos[4.68299502093 + 838.9692877504 * tau] + 7e-11 * cos[2.01982955946 + 176332.24614102798 * tau] + 7e-11 * cos[6.15588549143 + 75930.51303185058 * tau] + 7e-11 * cos[6.04804574225 + 103189.13786188899 * tau] + 6e-11 * cos[1.04156861985 + 104197.83375581198 * tau] + 8e-11 * cos[3.27628873745 + 183145.01295611398 * tau] + 7e-11 * cos[6.19019459405 + 37698.4550999484 * tau] + 7e-11 * cos[0.4481172726 + 104301.61594439259 * tau] + 6e-11 * cos[3.88021248158 + 104991.50985261079 * tau] + 8e-11 * cos[5.07207947299 + 202420.14928260217 * tau] + 7e-11 * cos[1.41908776548 + 39450.3528483734 * tau] + 6e-11 * cos[1.24806705522 + 181659.72224941078 * tau] + 8e-11 * cos[1.24101149187 + 128857.55635958798 * tau] + 7e-11 * 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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 * cos[4.37154457896 + 128220.75860368418 * tau] + 2e-11 * cos[6.06636386319 + 53242.3017603384 * tau] + 2e-11 * cos[5.42145220392 + 183570.92173262799 * tau] + 2e-11 * cos[5.56634055777 + 70269.18098269838 * tau] + 2e-11 * cos[5.84781134233 + 65831.6667743248 * tau] + 2e-11 * cos[2.93678015526 + 167850.08294774959 * tau] + 2e-11 * cos[0.06581745526 + 196137.07343261078 * tau] + 3e-11 * cos[5.36470448658 + 131395.11544947959 * tau] + 2e-11 * cos[5.31651763274 + 208173.53416749898 * tau] + 3e-11 * cos[4.72735160431 + 78149.27013603736 * tau] + 3e-11 * cos[5.0354242485 + 130443.39704322898 * tau] + 2e-11 * cos[1.78482957305 + 156531.30018480319 * tau] + 3e-11 * cos[0.5628939296 + 104347.73123093879 * tau] + 3e-11 * cos[1.94668130835 + 143005.66740785378 * tau] + 2e-11 * cos[1.12849064703 + 183724.70054311278 * tau] + 2e-11 * cos[5.43309839263 + 78903.60671103658 * tau] + 2e-11 * cos[0.72039482289 + 7994.5284420242 * tau] + 3e-11 * cos[2.91632245418 + 166740.70439565618 * tau] + 3e-11 * cos[3.36164307862 + 104778.21075717278 * tau] + 3e-11 * cos[4.68342323732 + 156507.74908854539 * tau] + 3e-11 * cos[5.37878648081 + 44295.7171298094 * tau] + 3e-11 * cos[6.21862713072 + 95247.70557217918 * tau] + 4e-11 * cos[1.67304824627 + 130419.8459469712 * tau] + 3e-11 * cos[2.55542640702 + 77829.99768684579 * tau] + 3e-11 * cos[2.53649995681 + 50579.61984086379 * tau] + 3e-11 * cos[4.59428408981 + 131548.89425996438 * tau] + 3e-11 * cos[5.23202292846 + 84546.78527471398 * tau] + 3e-11 * cos[2.66696150741 + 157586.80077963437 * tau] + 3e-11 * cos[0.40352872921 + 132028.58860315479 * tau] + 4e-11 * cos[6.26291139255 + 25021.4076643842 * tau] + 3e-11 * cos[4.76799924569 + 104138.31347085879 * tau] + 3e-11 * cos[4.90489886883 + 51749.20809227239 * tau] + 4e-11 * cos[1.40880562474 + 80382.47328510099 * tau] + 3e-11 * cos[5.72001402121 + 102762.53967101299 * tau] + 4e-11 * cos[2.45893471155 + 207643.84320240439 * tau] + 3e-11 * cos[1.53933182823 + 176953.98994186718 * tau] + 3e-11 * cos[2.8435468116 + 123200.84011627098 * tau] + 3e-11 * cos[2.32902857669 + 182085.63102592478 * tau] + 3e-11 * cos[3.83428144879 + 233681.74972207438 * tau] + 3e-11 * cos[5.94876130841 + 25035.6347583858 * tau] + 4e-11 * cos[6.22336284288 + 140652.80125408198 * tau] + 3e-11 * cos[6.23399386415 + 181659.72224941078 * tau] + 3e-11 * cos[0.60740481915 + 133882.09065283638 * tau] + 3e-11 * cos[1.97251042531 + 183145.01295611398 * tau] + 4e-11 * cos[5.42881221134 + 233731.74634397858 * tau] + 3e-11 * cos[3.86634858823 + 104371.28232719658 * tau] + 4e-11 * cos[5.24311464709 + 116917.76426627958 * tau] + 4e-11 * cos[0.21138526735 + 214364.55718174578 * tau] + 4e-11 * cos[5.67762508473 + 183674.70392120858 * tau] + 4e-11 * cos[2.73401660736 + 78417.48823520739 * tau] + 4e-11 * cos[2.31787867435 + 52815.7035694624 * tau] + 4e-11 * cos[6.15781348253 + 97112.93697469679 * tau] + 4e-11 * cos[0.94898112028 + 78378.14871340781 * tau] + 4e-11 * cos[5.58218314089 + 119116.85160956658 * tau] + 3e-11 * 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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] + 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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 + 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cos[5.94925007197 + 145204.75475114079 * tau] + 3.9e-10 * cos[3.40419666656 + 25551.09862947879 * tau] + 4.0e-10 * cos[5.63484527365 + 522.5774180938 * tau] + 4.9e-10 * cos[5.33653478407 + 99024.13645791399 * tau] + 3.7e-10 * cos[5.42828179354 + 28286.9904848612 * tau] + 3.8e-10 * cos[5.61891042604 + 143005.66740785378 * tau] + 3.7e-10 * cos[3.37388547918 + 1375.7737998458 * tau] + 4.1e-10 * cos[2.66264705448 + 233731.74634397858 * tau] + 3.8e-10 * cos[4.44293961717 + 29416.03879785439 * tau] + 4.6e-10 * cos[2.5352841036 + 50696.93970908399 * tau] + 3.9e-10 * cos[3.11194295827 + 25984.8103673556 * tau] + 5.3e-10 * cos[0.61042891791 + 53228.07466633679 * tau] + 4.0e-10 * cos[0.05181171325 + 123200.84011627098 * tau] + 4.1e-10 * cos[5.69167231584 + 24712.1293417284 * tau] + 4.5e-10 * cos[3.54092987543 + 50800.03248330259 * tau] + 4.6e-10 * cos[4.83387098498 + 110.2063212194 * tau] + 4.6e-10 * cos[3.39633739377 + 104505.39137678158 * tau] + 4.2e-10 * cos[4.61363107691 + 52492.19815280499 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+ 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 * cos[1.91910219792 + 140652.80125408198 * tau] + 1.1e-10 * cos[0.80279403389 + 130443.39704322898 * tau] + 1.3e-10 * cos[0.38784055589 + 54294.57014352679 * tau] + 1.3e-10 * cos[5.96105286469 + 49527.35145767539 * tau] + 1.1e-10 * cos[2.34762914711 + 214364.55718174578 * tau] + 1.2e-10 * cos[1.0377409492 + 116917.76426627958 * tau] + 1.1e-10 * cos[4.03645617358 + 26011.6370702986 * tau] + 1.1e-10 * cos[4.76973198116 + 157586.80077963437 * tau] + 1.2e-10 * cos[1.02715379165 + 130012.91751699499 * tau] + 1.2e-10 * cos[5.28144640817 + 26610.48055966799 * tau] + 1.1e-10 * cos[1.8737562471 + 97112.93697469679 * tau] + 1.4e-10 * cos[2.64166191335 + 42153.969003049 * tau] + 1.4e-10 * cos[0.65739903621 + 84546.78527471398 * tau] + 1.2e-10 * cos[0.50356687265 + 5327.4761083828 * tau] + 1.6e-10 * cos[3.76004077423 + 178063.36849396059 * tau] + 1.6e-10 * cos[0.54167157981 + 52061.36699446317 * tau] + 1.7e-10 * cos[3.00168933222 + 207593.84658050018 * tau] + 1.2e-10 * cos[0.9618285308 + 157057.10981453978 * tau] + 1.4e-10 * cos[1.32802909705 + 20760.4270331914 * tau] + 1.5e-10 * cos[6.26388997196 + 54509.0026760204 * tau] + 1.3e-10 * cos[3.72895039092 + 130419.8459469712 * tau] + 1.3e-10 * cos[4.75564434373 + 536.8045120954 * tau] + 1.3e-10 * cos[2.28140033187 + 26521.614879451 * tau] + 1.4e-10 * cos[5.26281612633 + 391318.54712361297 * tau] + 1.3e-10 * cos[4.45469253351 + 90695.75207512038 * tau] + 1.6e-10 * cos[0.08608453345 + 77410.51304297059 * tau] + 1.7e-10 * cos[3.44704905407 + 183724.70054311278 * tau] + 1.5e-10 * cos[4.43868814661 + 207643.84320240439 * tau] + 1.6e-10 * cos[0.34240403974 + 26081.27458267419 * tau] + 1.6e-10 * cos[0.62153007569 + 71980.63357473118 * tau] + 1.5e-10 * cos[3.36079341013 + 26241.681952059 * tau] + 1.6e-10 * cos[5.19489448771 + 52022.0274726636 * tau] + 1.4e-10 * cos[6.25912081869 + 102232.84870591838 * tau] + 1.4e-10 * cos[4.33486658309 + 18207.81398823521 * tau] + 1.4e-10 * cos[0.47578456087 + 104138.31347085879 * tau] + 1.5e-10 * cos[1.27735280723 + 103925.01437542078 * tau] + 1.7e-10 * cos[2.32026007183 + 53228.07466633679 * tau] + 1.7e-10 * cos[2.79032831551 + 124156.43985787958 * tau] + 1.6e-10 * cos[3.30923893089 + 26507.38778544939 * tau] + 1.7e-10 * cos[2.94915136654 + 18093.37469954999 * tau] + 1.4e-10 * cos[4.90677373859 + 632.7837393132 * tau] + 1.5e-10 * cos[5.8779684464 + 105940.68546158058 * tau] + 1.6e-10 * cos[3.51339563149 + 26094.53170047421 * tau] + 1.9e-10 * cos[1.88696722328 + 1581.959348283 * tau] + 1.5e-10 * cos[3.35297565546 + 58458.88213313979 * tau] + 1.7e-10 * cos[5.59546671313 + 60055.89543648739 * tau] + 1.5e-10 * cos[5.66501892458 + 7994.5284420242 * tau] + 1.8e-10 * cos[0.10505670252 + 52290.24557183361 * tau] + 1.7e-10 * cos[3.19413997784 + 2333.196392872 * tau] + 1.6e-10 * cos[1.39550514982 + 119116.85160956658 * tau] + 1.8e-10 * cos[3.89075237232 + 77844.22478084739 * tau] + 2.3e-10 * cos[3.47296935942 + 102132.85546210999 * tau] + 1.7e-10 * cos[4.6338502937 + 70269.18098269838 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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 + 177287.84588263658 * tau] + 2e-11 * cos[5.31625926462 + 24998.19435038059 * tau] + 2e-11 * cos[5.2466618317 + 24734.1543965574 * tau] + 2e-11 * cos[5.7673572032 + 25661.9943650602 * tau] + 2e-11 * cos[5.27165023098 + 75085.56363415498 * tau] + 2e-11 * cos[2.82219230315 + 63786.3582415226 * tau] + 2e-11 * cos[1.36339547692 + 6044.2285813754 * tau] + 2e-11 * cos[1.74283332135 + 76532.58707178998 * tau] + 2e-11 * cos[4.17768592199 + 51734.98099827079 * tau] + 2e-11 * cos[3.18370791629 + 207114.15223730978 * tau] + 3e-11 * cos[0.24921211552 + 25778.62481891839 * tau] + 2e-11 * cos[2.41940194318 + 104668.00443595338 * tau] + 2e-11 * cos[3.95708432187 + 1574.8458012822 * tau] + 3e-11 * cos[3.56621882535 + 154408.65498906678 * tau] + 2e-11 * cos[4.51215350981 + 52812.8025551726 * tau] + 2e-11 * cos[4.68312774052 + 49850.85687433279 * tau] + 2e-11 * cos[3.66265576771 + 26397.18146422999 * tau] + 2e-11 * cos[4.46567523081 + 31127.49138988719 * tau] + 3e-11 * cos[4.33101389874 + 220025.88923089796 * tau] + 3e-11 * cos[4.15733644316 + 51688.1715318942 * tau] + 2e-11 * cos[2.60597304148 + 26713.57333388659 * tau] + 2e-11 * cos[3.87492323552 + 199599.31813847595 * tau] + 2e-11 * cos[5.62335584014 + 28213.78054895339 * tau] + 2e-11 * cos[4.32859791317 + 1685.0521225016 * tau] + 2e-11 * cos[4.50734435605 + 25248.9338538238 * tau] + 3e-11 * cos[3.26197855217 + 156531.30018480319 * tau] + 2e-11 * cos[2.98805690719 + 26235.9818660005 * tau] + 3e-11 * cos[2.12660879166 + 42790.9652750732 * tau] + 2e-11 * cos[0.84094631125 + 163766.09444104518 * tau] + 3e-11 * cos[2.46305012048 + 133882.09065283638 * tau] + 3e-11 * cos[5.24568241255 + 6885.14988993081 * tau] + 2e-11 * cos[0.6354233409 + 1485.2907067032 * tau] + 2e-11 * cos[1.22333771717 + 76094.94894243999 * tau] + 3e-11 * cos[3.34404708133 + 130020.03106399579 * tau] + 3e-11 * cos[1.81280963372 + 104401.60918820098 * tau] + 2e-11 * cos[6.13024035669 + 104035.22069664019 * tau] + 3e-11 * cos[3.08628517069 + 4083.9885067044 * tau] + 2e-11 * cos[3.36639066096 + 42430.4857272918 * tau] + 3e-11 * cos[5.63901497713 + 106470.37642667518 * tau] + 2e-11 * cos[0.58190501461 + 27573.88326263939 * tau] + 3e-11 * cos[6.14366757538 + 48153.54375118419 * tau] + 3e-11 * cos[3.80600862869 + 25124.50043860279 * tau] + 3e-11 * cos[0.52188463522 + 52277.768801414 * tau] + 3e-11 * cos[1.5236169166 + 78265.19389743089 * tau] + 2e-11 * cos[3.49816744164 + 51092.7260508548 * tau] + 2e-11 * cos[1.31889013785 + 25572.43927048119 * tau] + 2e-11 * cos[4.22698039366 + 10681.2505365654 * tau] + 3e-11 * cos[3.9301871107 + 17098.43543614181 * tau] + 3e-11 * cos[5.9906150951 + 29864.334027309 * tau] + 3e-11 * cos[2.82299563379 + 53132.09543911899 * tau] + 2e-11 * cos[0.1288386868 + 149756.70824819959 * tau] + 3e-11 * cos[2.65726234287 + 13705.8571130806 * tau] + 3e-11 * cos[4.06250318984 + 97466.46267636596 * tau] + 3e-11 * cos[0.02228487734 + 1.4844727083 * tau] + 3e-11 * cos[4.98373933018 + 102129.75593169978 * tau] + 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+ 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 * cos[3.93444553575 + 50910.238804522 * tau] + 2e-11 * cos[5.73512271075 + 189853.99758261938 * tau] + 2e-11 * cos[3.38565068956 + 77726.90491262719 * tau] + 2e-11 * cos[4.0163819369 + 51868.2486621788 * tau] + 2e-11 * cos[2.87638496001 + 167850.08294774959 * tau] + 2e-11 * cos[4.34697979051 + 26404.2950112308 * tau] + 2e-11 * cos[2.38916713246 + 51226.63067417859 * tau] + 2e-11 * cos[0.20849484282 + 25754.0472008048 * tau] + 2e-11 * cos[6.2245179639 + 52252.07235442399 * tau] + 2e-11 * cos[1.81898501228 + 25771.5112719176 * tau] + 2e-11 * cos[1.62085169147 + 78149.27013603736 * tau] + 2e-11 * cos[4.0005881348 + 129799.61842155698 * tau] + 2e-11 * cos[1.22493486348 + 103498.41618454478 * tau] + 2e-11 * cos[6.06999395703 + 23919.1426592916 * tau] + 2e-11 * cos[2.05372686428 + 70383.6202713836 * tau] + 2e-11 * cos[0.70779949763 + 26667.590728573 * tau] + 2e-11 * cos[0.37783717379 + 53771.99272543299 * tau] + 2e-11 * cos[3.74140255139 + 52381.99183158559 * tau] + 2e-11 * cos[6.1353166559 + 129373.02023068098 * tau] + 2e-11 * cos[1.35964203538 + 3328.13565628019 * tau] + 2e-11 * cos[5.67927933196 + 103917.90082841998 * tau] + 2e-11 * cos[3.63338095338 + 51852.30086649099 * tau] + 2e-11 * cos[0.00715741623 + 130866.11389874699 * tau] + 2e-11 * cos[3.88808196008 + 16703.062133499 * tau] + 2e-11 * cos[5.09637370849 + 26823.77965510599 * tau] + 2e-11 * cos[1.26706232 + 58857.03113654799 * tau] + 2e-11 * cos[5.93910800197 + 78160.61665050399 * tau] + 2e-11 * cos[3.68035435205 + 52309.9153327334 * tau] + 2e-11 * cos[4.64642529286 + 60370.08161635699 * tau] + 2e-11 * cos[1.1348605474 + 52492.19815280499 * tau] + 2e-11 * cos[3.05065649587 + 102755.42612401219 * tau] + 2e-11 * cos[0.58667782465 + 128320.75184749259 * tau] + 2e-11 * cos[3.97278244291 + 52808.59002246159 * tau] + 2e-11 * cos[4.46926491505 + 25450.90686955 * tau] + 2e-11 * cos[0.45168929332 + 2111.6503133776 * tau] + 2e-11 * cos[2.35063735347 + 78109.93061423779 * tau] + 2e-11 * cos[2.73852323809 + 123200.84011627098 * tau] + 2e-11 * cos[2.27341561267 + 25953.79409198919 * tau] + 2e-11 * cos[5.8334620174 + 181026.24909573558 * tau] + 2e-11 * cos[2.47821765975 + 78114.14622758799 * tau] + 2e-11 * cos[4.43911582586 + 78270.33798362259 * tau] + 2e-11 * cos[0.10623356446 + 111590.28815789679 * tau] + 2e-11 * cos[4.87002033008 + 51859.41441349179 * tau] + 2e-11 * cos[3.73613869026 + 24601.92302050899 * tau] + 2e-11 * cos[3.82447809654 + 1162.4747044078 * tau] + 2e-11 * cos[1.98761216006 + 102018.41617342478 * tau] + 3e-11 * cos[1.73139148586 + 77741.13200662879 * tau] + 2e-11 * cos[3.78499822852 + 78731.674415077 * tau] + 2e-11 * cos[2.33240745085 + 157483.01859105378 * tau] + 2e-11 * cos[1.5932542826 + 206.1855484372 * tau] + 2e-11 * cos[5.58984236569 + 104202.04936916218 * tau] + 2e-11 * cos[4.18932113589 + 81591.84508100279 * tau] + 2e-11 * cos[0.25549281668 + 22909.7573510066 * tau] + 3e-11 * cos[3.59850686303 + 52396.2189255872 * tau] + 3e-11 * cos[0.82939608505 + 87253.17713015496 * tau] + 3e-11 * 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+ 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 + 10419.4710946482 * tau] + 1.02e-9 * cos[4.1794709773 + 2333.196392872 * tau] + 1.25e-9 * cos[0.11630302078 + 149.5631971346 * tau] + 1.21e-9 * cos[3.57602835443 + 45.1412196366 * tau] + 1.03e-9 * cos[0.0199204147 + 18300.69368504279 * tau] + 1.49e-9 * cos[0.09286508794 + 8144.2787113044 * tau] + 1.06e-9 * cos[1.43873202489 + 27682.1407441564 * tau] + 1.06e-9 * cos[2.04696932293 + 37674.9963942764 * tau] + 1.47e-9 * cos[2.11627427804 + 34363.365597556 * tau] + 1.43e-9 * cos[3.84026797958 + 14128.2427712456 * tau] + 1.26e-9 * cos[1.39497760964 + 966.9708774356 * tau] + 1.32e-9 * cos[1.4800976904 + 17085.9586657222 * tau] + 1.20e-9 * cos[0.88536981986 + 29573.361161443 * tau] + 1.54e-9 * cos[0.4708619096 + 28418.000004036 * tau] + 1.36e-9 * cos[3.09066368912 + 418.9243989006 * tau] + 1.63e-9 * cos[0.44241846674 + 20350.3050211464 * tau] + 1.26e-9 * cos[0.77391784606 + 49.9966219042 * tau] + 1.63e-9 * cos[5.59796070987 + 7576.560073574 * tau] + 1.66e-9 * cos[5.39219948035 + 41236.0387170672 * tau] + 1.69e-9 * cos[5.0434810943 + 73.297125859 * tau] + 1.52e-9 * cos[3.13035670092 + 29043.67019634839 * tau] + 1.50e-9 * cos[0.25029475344 + 290.972865866 * tau] + 1.35e-9 * cos[1.3480701392 + 53285.1848352418 * tau] + 1.26e-9 * cos[5.00217740223 + 27461.7108480654 * tau] + 1.76e-9 * cos[3.77298381177 + 66813.5648357332 * tau] + 1.54e-9 * cos[3.66827363753 + 276.7457718644 * tau] + 1.34e-9 * cos[5.75241675118 + 68050.42387851159 * tau] + 1.56e-9 * cos[6.01143316387 + 29057.89729034999 * tau] + 1.29e-9 * cos[3.95303623681 + 32858.61374281979 * tau] + 1.40e-9 * cos[2.90637712614 + 48947.6638706766 * tau] + 1.32e-9 * cos[5.35690599728 + 19624.7501612982 * tau] + 1.40e-9 * cos[5.2303960599 + 22645.32819660879 * tau] + 1.37e-9 * cos[1.66482327575 + 2636.725472637 * tau] + 1.41e-9 * cos[2.57248458154 + 13553.8979729108 * tau] + 1.40e-9 * cos[4.94595038686 + 9256.9963902404 * tau] + 1.54e-9 * cos[2.76536164654 + 28513.97923125379 * tau] + 1.59e-9 * cos[2.1113771357 + 19317.1925403286 * tau] + 1.46e-9 * cos[2.694529303 + 43071.8992890308 * tau] + 1.84e-9 * cos[2.46923348701 + 34596.3646546524 * tau] + 1.49e-9 * cos[4.49798039726 + 30831.3049047446 * tau] + 1.48e-9 * cos[2.94315921485 + 41654.9631159678 * tau] + 1.91e-9 * cos[0.82310353823 + 52670.0695933026 * tau] + 1.49e-9 * cos[2.1725998632 + 9929.4262273458 * tau] + 1.50e-9 * cos[2.11647586229 + 17248.4253018544 * tau] + 1.71e-9 * cos[4.58206324409 + 20447.3464879144 * tau] + 1.94e-9 * cos[5.95838706838 + 8617.0991039264 * tau] + 1.53e-9 * cos[0.07463240782 + 28528.2063252554 * tau] + 1.54e-9 * cos[3.90796293476 + 30213.258447757 * tau] + 1.63e-9 * cos[2.79665037814 + 41.5507909848 * tau] + 1.79e-9 * cos[0.90840065587 + 7880.08915333899 * tau] + 1.69e-9 * cos[1.78341902878 + 31022.7531708562 * tau] + 2.00e-9 * cos[3.8244321809 + 18314.9207790444 * tau] + 1.64e-9 * cos[3.25435371801 + 3914.9572250346 * tau] + 1.65e-9 * cos[2.88557908025 + 10207.7626219036 * tau] + 1.72e-9 * cos[5.29332132623 + 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+ 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 + 21393.5419698576 * tau] + 1.14e-9 * cos[5.16516114595 + 25685.872802808 * tau] + 1.19e-9 * cos[5.96432932413 + 1385.8952763362 * tau] + 1.59e-9 * cos[0.86086959274 + 221995.02880149524 * tau] + 1.18e-9 * cos[0.63846333239 + 6.0659156298 * tau] + 1.65e-9 * cos[4.06747587817 + 58953.145443294 * tau] + 1.65e-9 * cos[5.31654110459 + 16943.7627850338 * tau] + 1.53e-9 * cos[3.78801830344 + 17363.24742890899 * tau] + 1.48e-9 * cos[2.13439571118 + 491.6632924588 * tau] + 1.51e-9 * cos[0.46542099527 + 39609.6545831656 * tau] + 1.70e-9 * cos[4.41115280254 + 327574.51427678125 * tau] + 1.72e-9 * cos[1.98369595114 + 174242.4659640497 * tau] + 1.37e-9 * cos[0.86487461904 + 9924.8104215106 * tau] + 1.35e-9 * cos[3.12861731644 + 32217.2001810808 * tau] + 1.24e-9 * cos[2.83326217072 + 12566.2190102856 * tau] + 1.33e-9 * cos[5.65471067133 + 31.9723058168 * tau] + 1.45e-9 * cos[5.07330784304 + 87.30820453981 * tau] + 1.42e-9 * cos[5.87266532526 + 22476.73502749179 * tau] + 1.50e-9 * cos[5.86819430908 + 97238.62754448749 * tau] + 1.52e-9 * cos[5.28885894415 + 12669.2444742014 * tau] + 1.81e-9 * cos[4.22950689891 + 966.9708774356 * tau] + 1.34e-9 * cos[4.09472795832 + 6599.467719648 * tau] + 1.32e-9 * cos[3.05633896779 + 22490.9621214934 * tau] + 1.34e-9 * cos[3.09132862833 + 17.812522118 * tau] + 1.83e-9 * cos[5.43418358741 + 369.6998159404 * tau] + 1.65e-9 * cos[3.95288000638 + 6357.8574485587 * tau] + 1.69e-9 * cos[2.74893543762 + 26735.9452622132 * tau] + 1.40e-9 * cos[1.27748013377 + 107.6635239386 * tau] + 1.34e-9 * cos[4.79432636012 + 111.1866422876 * tau] + 1.42e-9 * cos[0.78678347839 + 12779.4507954208 * tau] + 1.46e-9 * cos[4.96885605695 + 57375.8019008462 * tau] + 1.47e-9 * cos[5.09968173403 + 661.232926781 * tau] + 1.41e-9 * cos[3.66871308723 + 26084.0218062162 * tau] + 1.48e-9 * cos[2.61640453469 + 17157.0618804718 * tau] + 1.40e-9 * cos[4.97612440269 + 158.9435177832 * tau] + 1.93e-9 * cos[5.92751083086 + 40879.4405046438 * tau] + 1.48e-9 * cos[0.23389236655 + 10021.8372800994 * tau] + 1.44e-9 * cos[1.07862546598 + 1265.5674786264 * tau] + 1.43e-9 * cos[3.28248547724 + 29.8214381488 * tau] + 1.43e-9 * cos[3.75708566606 + 58864.5439181463 * tau] + 1.56e-9 * cos[3.75650175503 + 12323.4230960088 * tau] + 1.46e-9 * cos[5.58021191726 + 412.3710968744 * tau] + 1.49e-9 * cos[2.65697593276 + 21.335640467 * tau] + 1.92e-9 * cos[1.33928820063 + 394.6258850592 * tau] + 1.75e-9 * cos[4.55671604437 + 239424.39025435288 * tau] + 1.50e-9 * cos[3.12999753018 + 799.8211251654 * tau] + 1.53e-9 * cos[1.24460848836 + 29826.3063546732 * tau] + 1.81e-9 * cos[4.12439203622 + 13341.6743113068 * tau] + 2.15e-9 * cos[0.20889073407 + 5621.8429232104 * tau] + 1.60e-9 * cos[6.23798383332 + 202.2533951741 * tau] + 1.65e-9 * cos[1.38698167064 + 4171.4255366138 * tau] + 1.92e-9 * cos[5.46153589821 + 6379.0550772092 * tau] + 2.12e-9 * cos[3.00233538977 + 12043.574281889 * tau] + 2.04e-9 * cos[0.42643085174 + 515.463871093 * tau] + 2.11e-9 * cos[5.73370637657 + 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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 + 7872.1487452752 * tau] + 4.9e-10 * cos[3.17757670611 + 6303.8512454838 * tau] + 4.2e-10 * cos[5.26377513431 + 26084.0218062162 * tau] + 5.7e-10 * cos[1.8641670701 + 25287.7237993998 * tau] + 4.8e-10 * cos[0.89551707131 + 56600.2792895222 * tau] + 4.5e-10 * cos[2.46230645202 + 51868.2486621788 * tau] + 4.6e-10 * cos[0.26142733448 + 11.0457002639 * tau] + 4.4e-10 * cos[2.57358208785 + 12964.300703391 * tau] + 4.5e-10 * cos[4.39613584445 + 433.7117378768 * tau] + 4.4e-10 * cos[0.80750593746 + 167283.76158766549 * tau] + 4.6e-10 * cos[2.41369976086 + 98068.53671630539 * tau] + 5.1e-10 * cos[1.23882053879 + 12539.853380183 * tau] + 4.6e-10 * cos[5.41431705539 + 33019.0211122046 * tau] + 4.9e-10 * cos[4.98223579027 + 10021.8372800994 * tau] + 5.4e-10 * cos[1.97301333704 + 23581.2581773176 * tau] + 4.7e-10 * cos[5.74015846442 + 12139.5535091068 * tau] + 5.0e-10 * cos[4.69825387775 + 28237.2334593894 * tau] + 5.0e-10 * cos[5.7438291744 + 19.66976089979 * tau] + 6.6e-10 * cos[3.64350022359 + 15265.8865193004 * tau] + 4.8e-10 * cos[0.70204553333 + 1162.4747044078 * tau] + 5.0e-10 * cos[0.42577644151 + 25685.872802808 * tau] + 6.7e-10 * cos[6.27917920454 + 22345.2603761082 * tau] + 5.2e-10 * cos[5.10673376738 + 17796.9591667858 * tau] + 7.0e-10 * cos[2.50592323465 + 31415.379249957 * tau] + 5.8e-10 * cos[3.13638677202 + 309.2783226558 * tau] + 5.2e-10 * cos[3.41177624177 + 23141.5583829246 * tau] + 5.1e-10 * cos[3.32803972907 + 56.8983749356 * tau] + 6.1e-10 * cos[0.14807288453 + 23013.5395395872 * tau] + 5.3e-10 * cos[0.45467549335 + 30666.1549584328 * tau] + 5.3e-10 * cos[3.61529270216 + 77.673770428 * tau] + 5.3e-10 * cos[3.17816599142 + 18451.07854656599 * tau] + 5.6e-10 * cos[3.20816844695 + 24889.5747959916 * tau] + 6.7e-10 * cos[2.53852336668 + 377.3736079158 * tau] + 7.0e-10 * cos[4.31243357502 + 19402.7969528166 * tau] + 7.3e-10 * cos[0.53299090807 + 2301.58581590939 * tau] + 5.7e-10 * cos[5.25043362558 + 20995.3929664494 * tau] + 5.7e-10 * cos[5.4512239985 + 12592.4500197826 * tau] + 6.8e-10 * cos[5.75884067555 + 21424.4666443034 * tau] + 6.5e-10 * cos[5.75757544877 + 52670.0695933026 * tau] + 6.5e-10 * cos[3.34580407184 + 51.28033786241 * tau] + 6.3e-10 * cos[4.09167842893 + 16062.1845261168 * tau] + 7.6e-10 * cos[3.29092216589 + 2942.4634232916 * tau] + 6.9e-10 * cos[0.96028230548 + 14919.0178537546 * tau] + 6.3e-10 * cos[4.53968787714 + 8982.810669309 * tau] + 7.1e-10 * cos[3.89435637865 + 22779.4372461938 * tau] + 7.8e-10 * cos[4.17011182047 + 1066.49547719 * tau] + 9.4e-10 * cos[3.62899392448 + 77713.7714681205 * tau] + 7.9e-10 * cos[5.15154513662 + 12323.4230960088 * tau] + 6.9e-10 * cos[5.41478093731 + 26735.9452622132 * tau] + 7.0e-10 * cos[2.66548322237 + 18875.525869774 * tau] + 6.9e-10 * cos[1.93625656075 + 135.62532501 * tau] + 6.9e-10 * cos[3.55746476593 + 4590.910180489 * tau] + 8.2e-10 * cos[3.48618399109 + 29088.811415985 * tau] + 9.0e-10 * cos[1.48869013606 + 15671.0817594066 * tau] + 7.7e-10 * cos[4.84846488388 + 22743.4093795164 * tau] + 7.4e-10 * cos[3.58814195051 + 11609.8625440122 * tau] + 7.8e-10 * cos[1.37531518377 + 21947.1113727 * tau] + 7.6e-10 * cos[3.21449884756 + 111.1866422876 * tau] + 8.1e-10 * cos[6.16619455699 + 1039.0266107904 * tau] + 7.6e-10 * cos[5.67183650604 + 14.2270940016 * tau] + 8.2e-10 * cos[5.86880116464 + 2787.0430238574 * tau] + 7.7e-10 * cos[3.3355519084 + 15720.8387848784 * tau] + 9.8e-10 * cos[1.39215287161 + 8662.240323563 * tau] + 8.1e-10 * cos[3.00657814365 + 2118.7638603784 * tau] + 9.4e-10 * cos[1.69615700473 + 23006.42599258639 * tau] + 8.2e-10 * cos[5.01340404594 + 22003.9146348698 * tau] + 8.8e-10 * cos[5.96980472191 + 107.6635239386 * tau] + 8.6e-10 * cos[1.13655027605 + 143571.32428481648 * tau] + 9.8e-10 * cos[1.0918183283 + 12043.574281889 * tau] + 8.9e-10 * cos[4.08082274765 + 22805.7355659936 * tau] + 1.21e-9 * cos[6.19860353182 + 9388.0059094152 * tau] + 1.13e-9 * cos[4.8332070787 + 16496.3613962024 * tau] + 8.9e-10 * cos[1.5426472031 + 20199.094959633 * tau] + 8.8e-10 * cos[2.21296088224 + 12721.572099417 * tau] + 1.02e-9 * cos[1.20493500565 + 23020.65308658799 * tau] + 1.23e-9 * cos[3.16062050433 + 9380.9596727172 * tau] + 9.2e-10 * cos[0.89217162285 + 29296.6153895786 * tau] + 9.7e-10 * cos[1.65579893894 + 533.2140834436 * tau] + 9.4e-10 * cos[5.01857894228 + 3128.3887650958 * tau] + 9.9e-10 * cos[3.56417337974 + 735.8765135318 * tau] + 9.7e-10 * cos[3.5091894021 + 5333.9002410216 * tau] + 1.10e-9 * cos[2.30582372873 + 16460.33352952499 * tau] + 1.06e-9 * cos[1.9608524841 + 74.7815985673 * tau] + 1.08e-9 * cos[1.08514212991 + 16858.4825329332 * tau] + 1.00e-9 * cos[3.52213872761 + 18052.9295431578 * tau] + 1.11e-9 * cos[5.16954029551 + 17782.7320727842 * tau] + 1.22e-9 * cos[4.23040027813 + 29.429508536 * tau] + 1.41e-9 * cos[3.18979826258 + 6262.300454499 * tau] + 1.09e-9 * cos[0.29269062317 + 16737.5772365966 * tau] + 1.07e-9 * cos[4.43556814486 + 18422.62935909819 * tau] + 1.07e-9 * cos[1.79272017026 + 13119.72110282519 * tau] + 1.50e-9 * cos[4.50631437136 + 2379.1644735716 * tau] + 1.44e-9 * cos[2.54869747042 + 227.476132789 * tau] + 1.28e-9 * cos[0.99794735107 + 8827.3902698748 * tau] + 1.08e-9 * cos[1.04936452145 + 11403.676995575 * tau] + 1.53e-9 * cos[2.46021790779 + 11933.3679606696 * tau] + 1.19e-9 * cos[5.08835797638 + 5481.2549188676 * tau] + 1.51e-9 * cos[2.68731829165 + 11769.8536931664 * tau] + 1.18e-9 * cos[0.81934438215 + 5331.3574437408 * tau] + 1.23e-9 * cos[2.83671175442 + 11919.140866668 * tau] + 1.41e-9 * cos[2.56889468729 + 1052.2683831884 * tau] + 1.27e-9 * cos[1.37618620001 + 14945.3161735544 * tau] + 1.22e-9 * cos[3.00813429479 + 19800.9459562248 * tau] + 1.19e-9 * cos[5.5214112345 + 709.9330485583 * tau] + 1.34e-9 * cos[3.11122937825 + 21954.15760939799 * tau] + 1.20e-9 * cos[5.91904349732 + 6206.8097787158 * tau] + 1.48e-9 * cos[3.02509280598 + 1551.045222648 * tau] + 1.23e-9 * cos[3.92815963256 + 17996.0311682222 * tau] + 1.59e-9 * cos[5.63954754618 + 5729.506447149 * tau] + 1.26e-9 * cos[3.47435905118 + 22483.84857449259 * tau] + 1.24e-9 * cos[2.36293551623 + 4933.2084403326 * tau] + 1.24e-9 * cos[5.81218025669 + 17256.6315363414 * tau] + 1.35e-9 * cos[0.06098110407 + 16723.350142595 * tau] + 1.41e-9 * cos[5.55739979498 + 10454.5013866052 * tau] + 1.47e-9 * cos[6.15106982168 + 9623.6882766912 * tau] + 1.44e-9 * cos[2.07312090485 + 25158.6017197654 * tau] + 1.31e-9 * cos[5.40912137746 + 2699.7348193176 * tau] + 1.42e-9 * cos[2.04464036087 + 20426.571092422 * tau] + 1.42e-9 * cos[1.4629013752 + 11087.2851259184 * tau] + 1.60e-9 * cos[5.95767264171 + 4701.1165017084 * tau] + 1.82e-9 * cos[0.44065530624 + 17253.04110768959 * tau] + 1.52e-9 * cos[2.84070476818 + 5650.2921106782 * tau] + 1.79e-9 * cos[3.58450811616 + 87.30820453981 * tau] + 1.83e-9 * cos[0.56281322071 + 13517.8701062334 * tau] + 1.58e-9 * cos[0.13519771874 + 13095.8426650774 * tau] + 1.60e-9 * cos[1.68164180475 + 15110.4661198662 * tau] + 1.68e-9 * cos[2.17671416605 + 27.4015560968 * tau] + 1.62e-9 * cos[3.30661909388 + 639.897286314 * tau] + 1.72e-9 * cos[1.45551888559 + 9225.539273283 * tau] + 2.15e-9 * cos[2.8125545456 + 7342.4577801806 * tau] + 1.86e-9 * cos[4.63080493407 + 10440.2742926036 * tau] + 1.87e-9 * cos[4.76483647432 + 4535.0594369244 * tau] + 1.77e-9 * cos[1.73429218289 + 154717.60988768269 * tau] + 1.85e-9 * cos[0.90960768344 + 18319.5365848796 * tau] + 1.88e-9 * cos[2.52667166175 + 6525.8044539654 * tau] + 1.95e-9 * cos[5.55015549753 + 6133.5126528568 * tau] + 2.04e-9 * cos[2.34615348695 + 266.6070417218 * tau] + 2.17e-9 * cos[6.27837036335 + 17267.26820169119 * tau] + 2.66e-9 * cos[1.00709566823 + 2388.8940204492 * tau] + 2.07e-9 * cos[6.10306282747 + 23543.23050468179 * tau] + 2.07e-9 * cos[3.07724246401 + 11.729352836 * tau] + 2.12e-9 * cos[2.13695625494 + 5849.3641121146 * tau] + 2.24e-9 * cos[4.68408089456 + 24072.9214697764 * tau] + 2.36e-9 * cos[5.4691507058 + 13916.0191096416 * tau] + 2.14e-9 * cos[4.03840869663 + 14314.1681130498 * tau] + 2.21e-9 * cos[3.03945240854 + 8635.9420037632 * tau] + 2.46e-9 * cos[1.10411690865 + 6282.0955289232 * tau] + 2.23e-9 * cos[2.00967043606 + 6172.869528772 * tau] + 2.30e-9 * cos[1.75927314884 + 9779.1086761254 * tau] + 2.62e-9 * cos[1.51070507866 + 12146.6670561076 * tau] + 2.63e-9 * cos[0.66348415419 + 21228.3920235458 * tau] + 2.39e-9 * cos[6.11855909114 + 11856.2186514245 * tau] + 2.46e-9 * cos[3.06168069935 + 110.2063212194 * tau] + 2.41e-9 * cos[0.99480969552 + 3634.6210245184 * tau] + 2.45e-9 * cos[5.70467521726 + 65147.6197681377 * tau] + 2.47e-9 * cos[3.84244798532 + 5429.8794682394 * tau] + 2.92e-9 * cos[1.98420020514 + 12132.439962106 * tau] + 2.59e-9 * cos[0.93882269387 + 5642.1982426092 * tau] + 2.88e-9 * cos[3.13401177517 + 12559.038152982 * tau] + 2.82e-9 * cos[5.0439983748 + 7477.522860216 * tau] + 2.63e-9 * cos[0.00538633678 + 4136.9104335162 * tau] + 2.68e-9 * cos[1.1390455063 + 12569.6748183318 * tau] + 3.28e-9 * cos[0.13837875384 + 11015.1064773348 * tau] + 2.96e-9 * cos[5.44152227481 + 17260.1546546904 * tau] + 3.43e-9 * cos[3.77164927143 + 6076.8903015542 * tau] + 3.07e-9 * cos[2.35299010924 + 170.6728706192 * tau] + 3.59e-9 * cos[6.22679790284 + 245.8316462294 * tau] + 3.36e-9 * cos[4.00205876835 + 3097.88382272579 * tau] + 3.41e-9 * cos[4.36522989934 + 7238.6755916 * tau] + 3.33e-9 * cos[5.54256205741 + 4686.8894077068 * tau] + 4.60e-9 * cos[5.19667219575 + 6284.0561710596 * tau] + 3.67e-9 * cos[1.32943839763 + 6283.0085396886 * tau] + 4.71e-9 * cos[0.86381834647 + 6069.7767545534 * tau] + 3.81e-9 * cos[4.30250406634 + 6062.6632075526 * tau] + 3.74e-9 * cos[5.01577520608 + 7.046236698 * tau] + 3.56e-9 * cos[3.84145204913 + 11712.9553182308 * tau] + 3.79e-9 * cos[0.37983009325 + 10177.2576795336 * tau] + 3.67e-9 * cos[0.88533542778 + 6283.14316029419 * tau] + 3.70e-9 * cos[3.84921354713 + 18073.7049386502 * tau] + 3.95e-9 * cos[1.87474483222 + 16200.7727245012 * tau] + 4.06e-9 * cos[5.21248452189 + 220.4126424388 * tau] + 4.73e-9 * cos[5.4995330697 + 5230.807466803 * tau] + 5.40e-9 * cos[1.29175137075 + 640.8776073822 * tau] + 5.26e-9 * cos[5.01697321546 + 5884.9268465832 * tau] + 5.83e-9 * cos[3.1892906781 + 4732.0306273434 * tau] + 5.97e-9 * cos[5.27668281777 + 10575.4066829418 * tau] + 5.28e-9 * cos[2.74936967681 + 3930.2096962196 * tau] + 4.85e-9 * cos[0.44467180946 + 12352.8526045448 * tau] + 6.88e-9 * cos[2.59683891779 + 3496.032826134 * tau] + 6.50e-9 * cos[1.13379656406 + 7058.5984613154 * tau] + 5.84e-9 * cos[5.54502568227 + 17298.1823273262 * tau] + 7.16e-9 * cos[2.65279791438 + 6309.3741697912 * tau] + 6.01e-9 * cos[0.73489602442 + 419.4846438752 * tau] + 6.85e-9 * cos[0.38876148682 + 15.252471185 * tau] + 7.04e-9 * cos[5.60738823665 + 3738.761430108 * tau] + 6.08e-9 * cos[5.63278508906 + 10984.1923516998 * tau] + 6.36e-9 * cos[4.28242193632 + 28.4491874678 * tau] + 6.85e-9 * cos[2.77592961854 + 20.7753954924 * tau] + 7.28e-9 * cos[5.20962563787 + 38.0276726358 * tau] + 8.06e-9 * cos[0.34218864254 + 9917.6968745098 * tau] + 7.49e-9 * cos[5.17890001805 + 10969.9652576982 * tau] + 7.72e-9 * cos[3.98369209464 + 955.5997416086 * tau] + 7.76e-9 * cos[2.57589093871 + 11371.7046897582 * tau] + 9.15e-9 * cos[5.41543742089 + 206.1855484372 * tau] + 7.65e-9 * cos[3.36312388424 + 36.0278666774 * tau] + 7.49e-9 * cos[4.962758033 + 6496.3749454294 * tau] + 7.58e-9 * cos[1.30034364248 + 103.0927742186 * tau] + 7.80e-9 * cos[2.39934293755 + 1589.0728952838 * tau] + 8.02e-9 * cos[3.88778875582 + 10973.55568635 * tau] + 1.110e-8 * cos[3.90096793825 + 11506.7697697936 * tau] + 9.57e-9 * cos[4.07673573735 + 6127.6554505572 * tau] + 8.83e-9 * cos[5.16833917651 + 11790.6290886588 * tau] + 9.10e-9 * cos[0.41727865299 + 7079.3738568078 * tau] + 9.62e-9 * cos[0.81771017882 + 3.881335358 * tau] + 1.025e-8 * cos[2.44688534235 + 1990.745017041 * tau] + 1.051e-8 * cos[3.75015946014 + 7860.4193924392 * tau] + 1.105e-8 * cos[5.31966001019 + 23.8784377478 * tau] + 1.118e-8 * 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 + 77736.78343050249 * tau] + 1.07e-9 * cos[6.2499898935 + 77690.75950573849 * tau] + 1.22e-9 * cos[5.77325634636 + 11919.140866668 * tau] + 1.29e-9 * cos[5.89187277327 + 12029.3471878874 * tau] + 1.09e-9 * cos[0.33808549034 + 11300.5842213564 * tau] + 1.03e-9 * cos[5.96518130595 + 6321.1035226272 * tau] + 1.34e-9 * cos[1.26539982939 + 5331.3574437408 * tau] + 1.07e-9 * cos[2.4281854414 + 5547.1993364596 * tau] + 1.37e-9 * cos[5.82029768354 + 44809.6502008634 * tau] + 1.44e-9 * cos[2.28899679126 + 12489.8856287072 * tau] + 1.19e-9 * cos[5.84644718278 + 12721.572099417 * tau] + 1.22e-9 * cos[0.34120688217 + 1162.4747044078 * tau] + 1.09e-9 * cos[3.26403795962 + 6819.8803620868 * tau] + 1.13e-9 * cos[3.58302904101 + 25685.872802808 * tau] + 1.11e-9 * cos[1.56305648432 + 17782.7320727842 * tau] + 1.37e-9 * cos[1.70657709294 + 12566.08438968 * tau] + 1.30e-9 * cos[2.80707316718 + 6016.4688082696 * tau] + 1.59e-9 * cos[2.43166592149 + 221995.02880149524 * tau] + 1.28e-9 * cos[0.71204006588 + 103.0927742186 * tau] + 1.53e-9 * cos[0.2686002995 + 245.8316462294 * tau] + 1.49e-9 * cos[5.61358280963 + 5729.506447149 * tau] + 1.17e-9 * cos[0.86065134175 + 6245.0481773556 * tau] + 1.23e-9 * cos[3.45660563754 + 6277.552925684 * tau] + 1.65e-9 * cos[2.496679246 + 58953.145443294 * tau] + 1.36e-9 * cos[2.48430783417 + 13341.6743113068 * tau] + 1.24e-9 * cos[1.65497607604 + 32217.2001810808 * tau] + 1.70e-9 * cos[5.98194913129 + 327574.51427678125 * tau] + 1.36e-9 * cos[4.15497742275 + 6311.5250374592 * tau] + 1.72e-9 * cos[0.4128996224 + 174242.4659640497 * tau] + 1.43e-9 * cos[5.74460279367 + 26087.9031415742 * tau] + 1.48e-9 * cos[2.85102145528 + 6418.1409300268 * tau] + 1.27e-9 * cos[0.00254936441 + 10027.9031957292 * tau] + 1.29e-9 * cos[0.75556744143 + 5017.508371365 * tau] + 1.32e-9 * cos[2.38417741883 + 6525.8044539654 * tau] + 1.51e-9 * cos[3.72338532649 + 12669.2444742014 * tau] + 1.53e-9 * cos[5.85203687779 + 6281.5913772831 * tau] + 1.31e-9 * cos[2.51859277344 + 6599.467719648 * tau] + 1.61e-9 * cos[1.15721259372 + 26735.9452622132 * tau] + 1.46e-9 * cos[2.43675816553 + 5881.4037282342 * tau] + 1.64e-9 * cos[2.39195095081 + 6357.8574485587 * tau] + 1.48e-9 * cos[1.76124372592 + 5888.4499649322 * tau] + 1.37e-9 * cos[3.52826010842 + 639.897286314 * tau] + 1.37e-9 * cos[1.26247412309 + 12566.2190102856 * tau] + 1.74e-9 * cos[0.08407293391 + 9380.9596727172 * tau] + 1.87e-9 * cos[1.23915444627 + 19402.7969528166 * tau] + 1.46e-9 * cos[5.10373877968 + 10770.8932562618 * tau] + 1.89e-9 * cos[5.07122281033 + 263.0839233728 * tau] + 1.51e-9 * cos[0.67417383554 + 2388.8940204492 * tau] + 1.44e-9 * cos[2.1315565512 + 26084.0218062162 * tau] + 1.71e-9 * cos[5.91302216729 + 6058.7310542895 * tau] + 1.44e-9 * cos[3.96947747592 + 6019.9919266186 * tau] + 2.01e-9 * cos[1.67701267433 + 2107.0345075424 * tau] + 1.65e-9 * cos[2.2713912876 + 10660.6869350424 * tau] + 1.46e-9 * cos[3.09506069735 + 4907.3020501456 * tau] + 1.57e-9 * cos[4.67695912235 + 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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 * tau] + 9.2e-10 * cos[6.23928508055 + 24491.4257925834 * tau] + 9.6e-10 * cos[0.72646224606 + 3152.68727893721 * tau] + 1.18e-9 * cos[3.82111723459 + 9072.6616711296 * tau] + 9.7e-10 * cos[2.5728079023 + 1747.6073781529 * tau] + 1.19e-9 * cos[3.9056157026 + 11346.7786206394 * tau] + 9.2e-10 * cos[3.58985964414 + 6724.9437657046 * tau] + 1.13e-9 * cos[3.93443805059 + 7167.1969061892 * tau] + 9.6e-10 * cos[5.4065991242 + 5749.8617665478 * tau] + 1.01e-9 * cos[3.00793005829 + 3528.5375744624 * tau] + 9.8e-10 * cos[1.89605054783 + 33406.124266998 * tau] + 1.15e-9 * cos[5.44548079869 + 11353.8921676402 * tau] + 9.3e-10 * cos[2.17945548408 + 16066.0658614748 * tau] + 1.10e-9 * cos[4.24859410294 + 3337.0720546986 * tau] + 9.4e-10 * cos[1.79812841802 + 20047.1976785478 * tau] + 9.5e-10 * cos[6.091860847 + 10037.0897512844 * tau] + 9.6e-10 * cos[3.08847844641 + 3468.6312700372 * tau] + 9.6e-10 * cos[4.29245810274 + 7906.59653807 * tau] + 1.09e-9 * cos[1.53428110338 + 16703.1294438018 * tau] + 1.12e-9 * cos[6.19137312195 + 6685.1570066627 * tau] + 9.6e-10 * cos[2.51396484677 + 3535.5838111604 * tau] + 9.6e-10 * cos[2.57929371627 + 12715.4388734844 * tau] + 1.12e-9 * cos[1.43537110436 + 16232.745030318 * tau] + 1.21e-9 * cos[3.14207351411 + 9278.8472195668 * tau] + 1.22e-9 * cos[4.18676567644 + 19617.07636932279 * tau] + 9.7e-10 * cos[4.94370173613 + 28109.214616052 * tau] + 9.9e-10 * cos[2.79139996703 + 17932.0242468212 * tau] + 1.07e-9 * cos[5.25025570307 + 63.7358983034 * tau] + 9.9e-10 * cos[0.72997085174 + 18977.1790830088 * tau] + 1.07e-9 * cos[4.86100312387 + 7899.550301372 * tau] + 1.00e-9 * cos[1.82077956276 + 12012.5822971404 * tau] + 1.12e-9 * cos[3.70888430091 + 10050.2864675672 * tau] + 1.20e-9 * cos[0.59116561391 + 31172.650645983 * tau] + 1.06e-9 * cos[5.08419485009 + 8742.0427074714 * tau] + 1.32e-9 * cos[2.97955203077 + 1250.8301963008 * tau] + 1.05e-9 * cos[6.16606590276 + 9175.7544453482 * tau] + 1.21e-9 * cos[6.08309355316 + 7100.7094972748 * tau] + 1.26e-9 * cos[1.82187459534 + 26887.3660497306 * tau] + 1.11e-9 * cos[5.12900291511 + 146.7944328714 * tau] + 1.13e-9 * cos[3.69200525056 + 44.6538332402 * tau] + 1.30e-9 * cos[4.10484632841 + 35.6077905838 * tau] + 1.16e-9 * cos[4.73049067619 + 13366.040135451 * tau] + 1.02e-9 * cos[2.97579561878 + 29822.7832363242 * tau] + 1.02e-9 * cos[1.20624870972 + 11986.6759069534 * tau] + 1.26e-9 * cos[0.03750399181 + 16.83220104979 * tau] + 1.07e-9 * cos[4.42117075795 + 7.130800653 * tau] + 1.04e-9 * cos[2.58832774275 + 14591.4118201214 * tau] + 1.34e-9 * cos[1.69834857217 + 183.869586902 * tau] + 1.33e-9 * cos[1.15811543786 + 816.6533262152 * tau] + 1.04e-9 * cos[1.02502614223 + 4878.8528626778 * tau] + 1.08e-9 * cos[5.22204692781 + 1556.5681469554 * tau] + 1.14e-9 * cos[0.62074562387 + 6151.5511419572 * tau] + 1.06e-9 * cos[0.75378922686 + 149.8974751268 * tau] + 1.13e-9 * cos[4.04786119569 + 6953.8978107512 * tau] + 1.07e-9 * cos[4.60288570375 + 1957.7250798532 * tau] + 1.25e-9 * 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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tau] + 1.15e-9 * cos[3.34121813462 + 10001.48196070061 * tau] + 1.17e-9 * cos[1.13528750738 + 4452.2546718018 * tau] + 1.24e-9 * cos[4.94608245253 + 12825.6451947038 * tau] + 1.53e-9 * cos[1.94292660454 + 6533.1461289733 * tau] + 1.33e-9 * cos[3.15773785434 + 1125.8693391036 * tau] + 1.53e-9 * cos[5.00372030984 + 14556.8967170238 * tau] + 1.17e-9 * cos[5.40635440024 + 688.6344828778 * tau] + 1.23e-9 * cos[2.42353206298 + 6.1332259326 * tau] + 1.36e-9 * cos[2.47757608387 + 10156.9023601348 * tau] + 1.51e-9 * cos[1.48428558337 + 9698.331863442 * tau] + 1.37e-9 * cos[4.78402836071 + 3613.2853840514 * tau] + 1.47e-9 * cos[1.8159027965 + 685.1113645288 * tau] + 1.19e-9 * cos[4.0170962999 + 14481.205498902 * tau] + 1.28e-9 * cos[4.4496605074 + 13465.5424810178 * tau] + 1.19e-9 * cos[1.2913911635 + 10544.4146981932 * tau] + 1.22e-9 * cos[0.1351137794 + 8322.5580635962 * tau] + 1.28e-9 * cos[0.12648796247 + 6681.6449294932 * tau] + 1.18e-9 * cos[1.17466010141 + 4606.1799053262 * tau] + 1.31e-9 * cos[4.47476808853 + 11776.8999298644 * tau] + 1.56e-9 * cos[4.6155626882 + 3354.8395207014 * tau] + 1.36e-9 * cos[4.01025697673 + 9797.4924843975 * tau] + 1.34e-9 * cos[1.53268827347 + 708.98980227659 * tau] + 1.55e-9 * cos[4.15655698197 + 56.3831860762 * tau] + 1.57e-9 * cos[1.79175545524 + 16489.763038061 * tau] + 1.25e-9 * cos[4.23213631052 + 15650.7937503106 * tau] + 1.22e-9 * cos[0.77282907794 + 4936.7988689844 * tau] + 1.34e-9 * cos[3.12718351732 + 8962.4726035624 * tau] + 1.21e-9 * cos[3.74135485334 + 10294.510237451 * tau] + 1.32e-9 * cos[6.25626202928 + 13227.3846267638 * tau] + 1.55e-9 * cos[5.47145482987 + 2.9689454166 * tau] + 1.27e-9 * cos[6.16695075115 + 10016.314355792 * tau] + 1.40e-9 * cos[1.54439148652 + 8219.4652893776 * tau] + 1.36e-9 * cos[2.04268940441 + 10654.6210194126 * tau] + 1.31e-9 * cos[1.72431469184 + 11925.2740926006 * tau] + 1.37e-9 * cos[4.94588047257 + 20995.3929664494 * tau] + 1.56e-9 * cos[5.24740844581 + 6645.1969867222 * tau] + 1.46e-9 * 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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1.63e-9 * cos[1.16606667991 + 4289.7880356696 * tau] + 1.74e-9 * cos[1.15216485688 + 6382.0984591304 * tau] + 2.01e-9 * cos[0.95077053594 + 29424.634232916 * tau] + 1.69e-9 * cos[5.45784867095 + 259.5608050238 * tau] + 1.64e-9 * cos[1.59200641542 + 386.4196505722 * tau] + 1.92e-9 * cos[4.62595272276 + 3336.6802734367 * tau] + 2.21e-9 * cos[3.82548751198 + 1954.7171503636 * tau] + 1.59e-9 * cos[5.59017475732 + 1442.2784624124 * tau] + 1.61e-9 * cos[2.94093367568 + 3370.0419352358 * tau] + 2.20e-9 * cos[3.90787704883 + 9638.9407478762 * tau] + 1.60e-9 * cos[0.21960307161 + 12942.965062924 * tau] + 1.59e-9 * cos[1.48046671186 + 249.9044607422 * tau] + 1.63e-9 * cos[4.23488695195 + 31968.9486527994 * tau] + 2.12e-9 * cos[2.32801112252 + 3232.9489027612 * tau] + 1.60e-9 * cos[2.83784244321 + 5888.4499649322 * tau] + 1.63e-9 * cos[2.0437336743 + 3347.2960905739 * tau] + 1.65e-9 * cos[3.8556911822 + 13207.029307365 * tau] + 1.71e-9 * cos[5.86158194602 + 625.6251361972 * tau] + 2.02e-9 * 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 * cos[3.57461078885 + 15121.102785216 * tau] + 1.77e-9 * cos[4.48104044431 + 8799.988713778 * tau] + 1.76e-9 * cos[3.66697456425 + 6688.2710900976 * tau] + 2.45e-9 * cos[4.20195166994 + 8436.2875031646 * tau] + 1.78e-9 * cos[0.53068485806 + 7366.2689076256 * tau] + 1.90e-9 * cos[0.10457198807 + 26087.9031415742 * tau] + 2.03e-9 * cos[0.28410501881 + 582.9989113784 * tau] + 1.78e-9 * cos[3.06961783443 + 1437.1756141986 * tau] + 2.42e-9 * cos[3.71426781511 + 3212.5935833624 * tau] + 2.53e-9 * cos[1.27099771143 + 309.2783226558 * tau] + 2.10e-9 * cos[2.30499661227 + 53.3079462838 * tau] + 2.08e-9 * cos[4.11480858445 + 1755.062649765 * tau] + 2.51e-9 * cos[5.57906426342 + 138.5881983844 * tau] + 1.99e-9 * cos[0.40088144456 + 7586.6815500644 * tau] + 2.14e-9 * cos[5.33581901309 + 955.2415245996 * tau] + 1.97e-9 * cos[0.48692287381 + 15106.8756912144 * tau] + 2.35e-9 * cos[1.11133081576 + 625.6701923124 * tau] + 1.98e-9 * cos[3.9911121623 + 10018.2468514476 * tau] + 1.96e-9 * cos[4.08789826861 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cos[0.14377701728 + 10014.7237330986 * tau] + 3.946e-8 * cos[5.81982010903 + 6261.7402095244 * tau] + 3.235e-8 * cos[3.90171358031 + 27.4015560968 * tau] + 3.300e-8 * cos[0.68865737747 + 149.5631971346 * tau] + 3.511e-8 * cos[1.95133364438 + 10177.2576795336 * tau] + 3.607e-8 * cos[4.24527056399 + 8329.671610597 * tau] + 3.445e-8 * cos[4.26610076208 + 3178.1457905676 * tau] + 4.466e-8 * cos[4.59188422424 + 5518.7501489918 * tau] + 3.975e-8 * cos[4.03441621102 + 1052.2683831884 * tau] + 4.422e-8 * cos[2.89974680697 + 6247.5131155228 * tau] + 3.734e-8 * cos[1.37011069213 + 3973.396166013 * tau] + 3.547e-8 * cos[1.87663674277 + 17395.2197347258 * tau] + 3.597e-8 * cos[6.07298181151 + 10818.1352869158 * tau] + 4.917e-8 * cos[6.25051681717 + 17654.7805397496 * tau] + 4.211e-8 * cos[3.87091723842 + 3312.163239232 * tau] + 4.576e-8 * cos[0.99344843456 + 6158.6474353058 * tau] + 4.906e-8 * cos[3.73078406569 + 1228.9621133222 * tau] + 4.820e-8 * cos[1.09025983917 + 13365.9728251482 * tau] + 4.153e-8 * cos[3.14497570817 + 8439.8779318164 * tau] + 4.046e-8 * cos[0.83826342101 + 10021.9045904022 * tau] + 5.403e-8 * cos[5.96867227489 + 3074.005384978 * tau] + 5.264e-8 * cos[5.40031180025 + 3355.8648978848 * tau] + 5.664e-8 * cos[0.50446281443 + 5305.4510535538 * tau] + 5.192e-8 * cos[3.63500646439 + 536.8045120954 * tau] + 4.220e-8 * cos[1.69427060019 + 13524.9163429314 * tau] + 4.164e-8 * cos[0.43798301495 + 1066.49547719 * tau] + 4.193e-8 * cos[0.19116539271 + 9830.3890139878 * tau] + 4.409e-8 * cos[1.3870873295 + 17256.6315363414 * tau] + 5.095e-8 * cos[1.12497131307 + 5331.3574437408 * tau] + 5.823e-8 * cos[2.39009621568 + 3302.479391062 * tau] + 4.631e-8 * cos[3.34058594066 + 3116.2676309979 * tau] + 5.438e-8 * cos[4.29256867866 + 3503.079062832 * tau] + 4.912e-8 * cos[1.70762118141 + 13358.9265884502 * tau] + 5.661e-8 * cos[0.75892958537 + 3120.199784261 * tau] + 5.773e-8 * cos[5.92316959013 + 640.8776073822 * tau] + 4.798e-8 * cos[4.63144694279 + 4569.574540022 * tau] + 5.093e-8 * cos[0.60873962999 + 8955.3418029094 * tau] + 5.773e-8 * cos[3.55190490896 + 8969.568896911 * tau] + 5.491e-8 * cos[3.42235890731 + 3134.4268782626 * tau] + 5.436e-8 * cos[6.18510045571 + 8425.6508378148 * tau] + 5.214e-8 * cos[0.01023839897 + 533.2140834436 * tau] + 5.182e-8 * cos[3.25459432228 + 2391.43681773 * tau] + 6.632e-8 * cos[3.48100908925 + 1118.7557921028 * tau] + 5.266e-8 * cos[4.51201042373 + 6144.4203413042 * tau] + 5.212e-8 * cos[3.48999909365 + 12935.8515159232 * tau] + 7.285e-8 * cos[0.52756973131 + 10575.4066829418 * tau] + 7.576e-8 * cos[6.16308742022 + 6531.661656265 * tau] + 5.725e-8 * cos[4.93042706875 + 2384.3232707292 * tau] + 5.770e-8 * cos[0.96127853878 + 13916.0191096416 * tau] + 6.103e-8 * cos[4.49866000852 + 6682.2051744678 * tau] + 6.307e-8 * cos[1.77830983983 + 2178.137722292 * tau] + 5.962e-8 * cos[3.01318151415 + 3369.0616141676 * tau] + 5.895e-8 * cos[0.77226207039 + 2699.7348193176 * tau] + 5.848e-8 * cos[4.30379700916 + 7875.6718636242 * tau] + 5.937e-8 * cos[4.22752447794 + 4459.3682188026 * tau] + 6.134e-8 * cos[3.16322441707 + 6680.2445323314 * tau] + 7.341e-8 * cos[4.95693808975 + 3767.2106175758 * tau] + 6.532e-8 * cos[1.24907069366 + 12964.300703391 * tau] + 8.180e-8 * cos[0.43967386003 + 2707.8286873866 * tau] + 6.144e-8 * cos[5.43713363624 + 1861.7458526354 * tau] + 6.296e-8 * cos[0.06976040737 + 1964.838626854 * tau] + 6.427e-8 * cos[6.03333185624 + 574.3447983348 * tau] + 8.392e-8 * cos[2.90734956761 + 43.718912305 * tau] + 6.188e-8 * cos[1.5784796785 + 3325.3599555148 * tau] + 6.697e-8 * cos[5.77315870484 + 5202.3582793352 * tau] + 6.666e-8 * cos[4.38910103043 + 66.4874089144 * tau] + 6.753e-8 * cos[1.58869332894 + 6836.6452528338 * tau] + 7.517e-8 * cos[1.24476310635 + 6894.5239488376 * tau] + 8.433e-8 * cos[3.1523973397 + 6525.8044539654 * tau] + 9.560e-8 * cos[4.33382353581 + 131.5419616864 * tau] + 8.478e-8 * cos[2.86886131803 + 9381.9399937854 * tau] + 1.0585e-7 * cos[0.89641284928 + 23384.2869868986 * tau] + 9.882e-8 * cos[2.69148019691 + 36.6053653042 * tau] + 8.499e-8 * cos[4.29275471153 + 0.4298831267 * tau] + 1.0041e-7 * cos[1.3829466683 + 3583.3410306738 * tau] + 1.0685e-7 * cos[4.33894776374 + 7740.6067835888 * tau] + 8.801e-8 * cos[3.97218590685 + 170.6728706192 * tau] + 1.2156e-7 * cos[4.42295240981 + 14712.317116458 * tau] + 9.779e-8 * cos[3.60056884868 + 206.1855484372 * tau] + 1.2733e-7 * cos[1.79883375851 + 13745.3462390224 * tau] + 9.146e-8 * cos[1.10220667397 + 9808.5381846614 * tau] + 9.720e-8 * cos[6.28282606427 + 9225.539273283 * tau] + 9.808e-8 * cos[5.83632873998 + 14314.1681130498 * tau] + 9.578e-8 * cos[4.89489266197 + 3230.4061054804 * tau] + 1.0565e-7 * cos[1.09061610786 + 12168.0026965746 * tau] + 1.0797e-7 * cos[1.37191539718 + 10419.9862835076 * tau] + 1.0645e-7 * cos[5.47696728127 + 419.4846438752 * tau] + 1.0925e-7 * cos[0.60397688999 + 5085.038411115 * tau] + 1.0639e-7 * cos[3.45016942919 + 639.897286314 * tau] + 1.4458e-7 * cos[4.38010658432 + 316.3918696566 * tau] + 1.2340e-7 * cos[2.52146766331 + 2906.900688823 * tau] + 1.1777e-7 * cos[5.727315509 + 0.42007609361 * tau] + 1.3274e-7 * cos[6.1780690534 + 1744.4259844152 * tau] + 1.2283e-7 * cos[3.16862882612 + 10021.8200264472 * tau] + 1.1890e-7 * cos[4.76593905835 + 5828.0284716476 * tau] + 1.1945e-7 * cos[5.47997890162 + 2921.1277828246 * tau] + 1.2283e-7 * cos[5.19940030635 + 10021.8545337516 * tau] + 1.2199e-7 * cos[1.73079687044 + 36.0278666774 * tau] + 1.2773e-7 * cos[0.10483085657 + 7234.794256242 * tau] + 1.6069e-7 * cos[2.36895958451 + 3265.8308281325 * tau] + 1.3403e-7 * cos[5.16920432994 + 10213.285546211 * tau] + 1.5846e-7 * cos[0.56901288692 + 103.0927742186 * tau] + 1.8038e-7 * cos[4.25391532 + 2487.4160449478 * tau] + 1.3714e-7 * cos[3.59050634457 + 15113.9892382152 * tau] + 1.6051e-7 * cos[3.79409950488 + 2118.7638603784 * tau] + 1.4023e-7 * cos[1.44218648988 + 10404.7338123226 * tau] + 1.4246e-7 * cos[0.59808746067 + 23.8784377478 * tau] + 1.3926e-7 * cos[5.40797129468 + 10973.55568635 * tau] + 1.4566e-7 * cos[3.45210993051 + 7373.3824546264 * tau] + 1.3547e-7 * cos[4.04152185347 + 4929.6853219836 * tau] + 1.6011e-7 * cos[1.54669633224 + 14054.607308026 * tau] + 1.3704e-7 * cos[2.5411701816 + 4933.2084403326 * tau] + 1.7555e-7 * cos[4.09197396097 + 74.7815985673 * tau] + 1.6772e-7 * cos[4.3973150711 + 15643.6802033098 * tau] + 1.9295e-7 * cos[3.23911854642 + 7.046236698 * tau] + 1.8113e-7 * cos[3.25756020453 + 3337.021998048 * tau] + 1.5816e-7 * cos[3.13240869691 + 59.3738619136 * tau] + 1.6042e-7 * cos[1.76786752521 + 3475.6775067352 * tau] + 2.0963e-7 * cos[4.27878216453 + 5099.2655051166 * tau] + 1.6648e-7 * cos[2.52823633184 + 14584.2982731206 * tau] + 2.2737e-7 * cos[4.98520896596 + 7632.9432596502 * tau] + 1.8422e-7 * cos[4.22535881468 + 2787.0430238574 * tau] + 1.6811e-7 * cos[5.48619684111 + 3.881335358 * tau] + 2.2604e-7 * cos[5.24082917494 + 3205.5473466644 * tau] + 2.2662e-7 * cos[3.95446324417 + 4989.0591838972 * tau] + 1.7709e-7 * cos[3.69742343974 + 3344.2028553516 * tau] + 2.3079e-7 * cos[4.74990214223 + 3347.7259737006 * tau] + 2.4378e-7 * cos[0.96994696413 + 632.7837393132 * tau] + 2.2542e-7 * cos[5.64861703438 + 2388.8940204492 * tau] + 2.5512e-7 * cos[3.43242352804 + 3443.7052009184 * tau] + 1.9849e-7 * cos[2.37668920745 + 10713.9948813262 * tau] + 2.7540e-7 * cos[6.08389942337 + 6674.1113063988 * tau] + 2.1343e-7 * cos[4.28218757863 + 4032.7700279266 * tau] + 2.0093e-7 * cos[1.08247416065 + 7064.1213856228 * tau] + 2.1530e-7 * cos[6.15388757177 + 3264.3463554242 * tau] + 2.0158e-7 * cos[3.67131504946 + 1758.6530784168 * tau] + 2.1202e-7 * cos[3.11824472284 + 2957.7158944766 * tau] + 2.2274e-7 * cos[0.72106133721 + 266.6070417218 * tau] + 2.2816e-7 * cos[3.52628212106 + 1648.4467571974 * tau] + 2.3764e-7 * cos[1.84058377256 + 12832.7587417046 * tau] + 2.7278e-7 * cos[4.55645328122 + 3361.3878221922 * tau] + 2.5637e-7 * cos[0.2496352342 + 522.5774180938 * tau] + 2.4554e-7 * cos[4.00323183088 + 11371.7046897582 * tau] + 2.6357e-7 * cos[1.34532646574 + 3496.032826134 * tau] + 2.5380e-7 * cos[0.52093116112 + 10.6366653498 * tau] + 3.4031e-7 * cos[2.59544082509 + 11769.8536931664 * tau] + 2.8686e-7 * cos[5.72055456734 + 7477.522860216 * tau] + 2.7584e-7 * cos[1.59691203058 + 7210.9158184942 * tau] + 3.3148e-7 * cos[1.14023770004 + 5.5229243074 * tau] + 3.8790e-7 * cos[1.35198498795 + 10018.3141617504 * tau] + 2.9007e-7 * cos[2.42707385674 + 3319.8370312074 * tau] + 3.3626e-7 * cos[6.11992401052 + 6489.776587288 * tau] + 3.7752e-7 * cos[4.15482955299 + 2803.8079146044 * tau] + 3.2561e-7 * cos[0.89250316888 + 6681.1575430968 * tau] + 3.1168e-7 * cos[3.98160912982 + 20.3553193988 * tau] + 3.7135e-7 * cos[0.68508150774 + 2818.035008606 * tau] + 3.2562e-7 * cos[0.48400659333 + 6681.2921637024 * tau] + 3.8206e-7 * cos[2.34835984063 + 162.4666361322 * tau] + 3.8352e-7 * cos[5.82880707426 + 3191.0492295652 * tau] + 4.5905e-7 * cos[0.28718981497 + 5614.7293762096 * tau] + 3.6716e-7 * cos[2.63720775102 + 692.1576012268 * tau] + 4.4174e-7 * cos[3.19529736702 + 5628.9564702112 * tau] + 3.9495e-7 * cos[5.6322539216 + 3097.88382272579 * tau] + 3.8107e-7 * cos[0.7340194632 + 10025.3603984484 * tau] + 4.0671e-7 * cos[3.13832621829 + 9595.2390892234 * tau] + 5.1678e-7 * cos[2.81307492682 + 3339.6321056316 * tau] + 5.5909e-7 * cos[3.46260833495 + 263.0839233728 * tau] + 5.6396e-7 * cos[1.68727150304 + 6872.6731195112 * tau] + 4.1939e-7 * cos[3.58326425115 + 8031.0922630584 * tau] + 4.1223e-7 * cos[6.02019329922 + 3894.1818295422 * tau] + 4.8542e-7 * cos[3.95670418719 + 4535.0594369244 * tau] + 4.5829e-7 * cos[0.78784235062 + 1990.745017041 * tau] + 6.3376e-7 * cos[0.91296240798 + 3553.9115221378 * tau] + 5.6629e-7 * cos[5.06250410206 + 15.252471185 * tau] + 5.1332e-7 * cos[4.14823636534 + 3341.592747768 * tau] + 5.5488e-7 * cos[4.6062546702 + 4292.3308329504 * tau] + 5.2256e-7 * cos[0.89941531307 + 9623.6882766912 * tau] + 6.1683e-7 * cos[6.16831509419 + 2274.1169495098 * tau] + 6.3314e-7 * cos[4.5277147047 + 426.598190876 * tau] + 6.6706e-7 * cos[0.73630620766 + 3723.508958923 * tau] + 6.8984e-7 * cos[3.76399731788 + 6041.3275670856 * tau] + 7.5034e-7 * cos[0.76643418252 + 6467.9257579616 * tau] + 8.3749e-7 * cos[3.2025613099 + 4690.4798363586 * tau] + 6.5320e-7 * cos[2.68118597578 + 28.4491874678 * tau] + 8.6751e-7 * cos[1.02092221563 + 7079.3738568078 * tau] + 6.8414e-7 * cos[2.73834914412 + 2288.3440435114 * tau] + 9.8946e-7 * cos[2.81481140371 + 6681.2075997474 * tau] + 7.3476e-7 * cos[2.18428012567 + 8429.2412664666 * tau] + 7.2091e-7 * cos[5.84672102525 + 5884.9268465832 * tau] + 7.1437e-7 * cos[2.80307550016 + 3185.1920272656 * tau] + 8.6931e-7 * cos[2.20186740523 + 11243.6858464208 * tau] + 8.4187e-7 * cos[3.9897072073 + 4399.994356889 * tau] + 0.00000104541 * cos[0.78535382076 + 8827.3902698748 * tau] + 9.8947e-7 * cos[4.8455829474 + 6681.2421070518 * tau] + 9.5592e-7 * cos[0.53954181149 + 20043.6745601988 * tau] + 0.0000010009 * 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 + 14.2270940016 * tau] + 1.30e-9 * cos[2.53454569863 + 11769.8536931664 * tau] + 1.01e-9 * cos[2.47217208753 + 7380.4960016272 * tau] + 1.39e-9 * cos[1.80936944447 + 12323.4230960088 * tau] + 1.01e-9 * cos[3.78636130664 + 10042.6126755918 * tau] + 1.02e-9 * cos[0.60100887043 + 10264.5658840734 * tau] + 1.05e-9 * cos[4.11662579413 + 6675.7019290922 * tau] + 1.33e-9 * cos[5.88513337452 + 5835.1420186484 * tau] + 1.04e-9 * cos[2.77582098882 + 38.1330356378 * tau] + 1.13e-9 * cos[5.20979306912 + 2125.8774073792 * tau] + 1.43e-9 * cos[3.53781769283 + 6518.7582172674 * tau] + 1.12e-9 * cos[1.64487733528 + 10001.061884607 * tau] + 1.04e-9 * cos[0.09799515047 + 30065.5118402982 * tau] + 1.04e-9 * cos[3.23074163851 + 3472.1543883862 * tau] + 1.15e-9 * cos[3.18885465852 + 2409.249339848 * tau] + 1.25e-9 * cos[0.33573243959 + 18849.2275499742 * tau] + 1.08e-9 * cos[4.10637483972 + 13553.8979729108 * tau] + 1.14e-9 * cos[4.80828825403 + 6657.3464156518 * tau] + 1.08e-9 * cos[4.89922372003 + 9588.1255422226 * tau] + 1.38e-9 * cos[4.47698517191 + 3326.3853326982 * tau] + 1.08e-9 * cos[3.17700641574 + 3448.2759506384 * tau] + 1.11e-9 * cos[4.05380946072 + 568.8218740274 * tau] + 1.10e-9 * cos[0.56398082486 + 661.232926781 * tau] + 1.52e-9 * cos[0.32620694442 + 3443.7052009184 * tau] + 1.29e-9 * cos[0.78419803719 + 3427.9206312396 * tau] + 1.16e-9 * cos[0.10434606071 + 13362.3823964964 * tau] + 1.18e-9 * cos[4.07281676691 + 418.504322807 * tau] + 1.46e-9 * cos[3.37351237411 + 1861.7458526354 * tau] + 1.55e-9 * cos[1.78154091696 + 21265.5231265202 * tau] + 1.14e-9 * cos[2.7487709147 + 6460.8122109608 * tau] + 1.19e-9 * cos[2.05840518265 + 15121.102785216 * tau] + 1.47e-9 * cos[6.22619740782 + 6040.3472460174 * tau] + 1.26e-9 * cos[2.00195272473 + 699.2711482276 * tau] + 1.16e-9 * cos[1.79450246249 + 647.0108333148 * tau] + 1.26e-9 * cos[3.80246508251 + 765.7930644464 * tau] + 1.44e-9 * cos[5.68526782434 + 8827.3902698748 * tau] + 1.25e-9 * cos[0.52719797619 + 2604.735913168 * tau] + 1.65e-9 * cos[2.02795177586 + 290.4854794696 * tau] + 1.51e-9 * cos[1.61342807879 + 1107.1388056848 * tau] + 1.33e-9 * cos[0.50941998058 + 3274.1250177854 * tau] + 1.22e-9 * cos[5.79901866314 + 1854.6323056346 * tau] + 1.21e-9 * cos[6.16922638434 + 20206.141196331 * tau] + 1.29e-9 * cos[4.92064308735 + 2540.7913015344 * tau] + 1.23e-9 * cos[3.61238958991 + 22324.9050567094 * tau] + 1.64e-9 * cos[1.87613918877 + 6709.6740408674 * tau] + 1.27e-9 * cos[5.73090203501 + 3340.19235060619 * tau] + 1.32e-9 * cos[2.81496895377 + 21795.21409161479 * tau] + 1.29e-9 * cos[1.78002583252 + 22743.4093795164 * tau] + 1.27e-9 * cos[5.5553408004 + 3368.0139827966 * tau] + 1.58e-9 * cos[1.48909254724 + 29.4918183034 * tau] + 1.47e-9 * cos[1.95810911154 + 5732.0492444298 * tau] + 1.35e-9 * cos[2.23311632892 + 15664.03552270859 * tau] + 1.73e-9 * cos[3.09922849765 + 12295.9542296092 * tau] + 1.31e-9 * cos[3.48156082643 + 367.2243289624 * tau] + 1.84e-9 * cos[4.61314496499 + 3329.97576135 * tau] + 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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 + 14421.8316369884 * tau] + 7.1e-10 * cos[4.82445647307 + 8542.970706035 * tau] + 5.7e-10 * cos[1.88614831237 + 18451.07854656599 * tau] + 5.6e-10 * cos[2.23565630779 + 20995.3929664494 * tau] + 5.7e-10 * cos[2.97448265957 + 21795.21409161479 * tau] + 5.7e-10 * cos[3.28105791201 + 206.1855484372 * tau] + 7.0e-10 * cos[2.51605694403 + 9638.9407478762 * tau] + 5.8e-10 * cos[5.64889513615 + 9945.5712088238 * tau] + 6.5e-10 * cos[4.49078808776 + 632.7837393132 * tau] + 6.2e-10 * cos[2.81689634717 + 6944.3087767724 * tau] + 6.8e-10 * cos[3.84252763135 + 6571.0185321802 * tau] + 5.9e-10 * cos[5.00150762621 + 6414.6178116778 * tau] + 6.2e-10 * cos[4.81389895867 + 20199.094959633 * tau] + 6.0e-10 * cos[5.83757395809 + 8646.0634802536 * tau] + 7.3e-10 * cos[0.93706647938 + 20735.83216142559 * tau] + 6.4e-10 * cos[4.61909647015 + 9886.772200064 * tau] + 6.3e-10 * cos[0.1890710618 + 30065.5118402982 * tau] + 8.7e-10 * cos[4.9783802188 + 1118.7557921028 * tau] + 6.9e-10 * cos[3.34387224268 + 11670.2840372968 * tau] + 6.5e-10 * cos[4.65423392949 + 2807.3983432562 * tau] + 6.7e-10 * cos[0.16600936321 + 22743.4093795164 * tau] + 6.6e-10 * cos[5.70059718737 + 33561.5446664322 * tau] + 6.6e-10 * cos[3.85497672006 + 19406.6782881746 * tau] + 7.8e-10 * cos[2.17362706851 + 30220.9322397324 * tau] + 7.6e-10 * cos[2.00296087293 + 224.3447957019 * tau] + 6.8e-10 * cos[5.03013252197 + 9070.1188738488 * tau] + 8.4e-10 * cos[0.16960920719 + 263.0839233728 * tau] + 6.9e-10 * cos[2.050189992 + 29424.634232916 * tau] + 6.9e-10 * cos[6.07427052412 + 26482.1708096244 * tau] + 6.8e-10 * cos[0.04775525953 + 2125.8774073792 * tau] + 7.4e-10 * cos[5.32032289064 + 11766.2632645146 * tau] + 9.8e-10 * cos[4.01577665825 + 6843.6914895318 * tau] + 7.5e-10 * cos[2.5934030534 + 1964.838626854 * tau] + 7.2e-10 * cos[3.89476829327 + 9380.9596727172 * tau] + 8.7e-10 * cos[2.11654357529 + 3450.8187479192 * tau] + 7.3e-10 * cos[0.10667695992 + 29822.7832363242 * tau] + 7.9e-10 * cos[1.79313426804 + 38.1330356378 * tau] + 8.4e-10 * cos[5.78647729498 + 5518.7501489918 * tau] + 1.03e-9 * cos[1.25691413032 + 3384.3313390048 * tau] + 1.04e-9 * cos[1.72206104768 + 3296.8935143948 * tau] + 9.1e-10 * cos[2.09965252231 + 949.1756089698 * tau] + 8.8e-10 * cos[5.46013317934 + 16460.33352952499 * tau] + 8.6e-10 * cos[0.41976545794 + 956.2891559706 * tau] + 8.9e-10 * cos[3.52977975496 + 9485.032768004 * tau] + 7.9e-10 * cos[1.50228636499 + 2111.6503133776 * tau] + 8.0e-10 * cos[4.61446168762 + 3914.9572250346 * tau] + 8.3e-10 * cos[2.96589752213 + 6652.7756659318 * tau] + 8.0e-10 * cos[0.4255098998 + 18052.9295431578 * tau] + 8.2e-10 * cos[0.01837230371 + 9499.2598620056 * tau] + 1.01e-9 * cos[5.94930983227 + 8425.6508378148 * tau] + 8.7e-10 * cos[4.51145821088 + 220.4126424388 * tau] + 8.5e-10 * cos[2.74791518135 + 3407.0998356142 * tau] + 8.4e-10 * cos[4.45487801845 + 6696.4773245846 * tau] + 1.10e-9 * cos[0.94707767481 + 3274.1250177854 * tau] + 1.02e-9 * cos[5.58754073056 + 2766.267628365 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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 * cos[2.15121245434 + 3311.1206083964 * tau] + 7.8e-10 * cos[5.38566529072 + 2655.5683724738 * tau] + 7.8e-10 * cos[4.29426812598 + 187.9251477626 * tau] + 8.2e-10 * cos[2.85633413428 + 14164.8136292454 * tau] + 8.6e-10 * cos[3.78659802914 + 1481.4093713452 * tau] + 9.1e-10 * cos[5.76229906142 + 2544.3316735356 * tau] + 8.4e-10 * cos[1.96289182788 + 14867.73751589219 * tau] + 7.9e-10 * cos[4.41964678009 + 151.0476698429 * tau] + 8.6e-10 * cos[1.19342535692 + 4029.2469095776 * tau] + 8.1e-10 * cos[1.65543714666 + 78263.70942472259 * tau] + 8.8e-10 * cos[3.29950478012 + 2655.501062171 * tau] + 9.3e-10 * cos[1.59775582035 + 5088.2198048527 * tau] + 8.4e-10 * cos[4.33209852801 + 51449.3242632782 * tau] + 1.05e-9 * cos[3.4784203613 + 3413.9095525588 * tau] + 8.3e-10 * cos[5.48462687348 + 4349.1618975832 * tau] + 8.1e-10 * cos[1.27062968985 + 4893.0799566794 * tau] + 8.1e-10 * cos[3.44420073782 + 148.0787244263 * tau] + 1.14e-9 * cos[2.83270741566 + 394.6258850592 * tau] + 8.7e-10 * cos[0.04840436087 + 23546.7536230308 * tau] + 9.5e-10 * cos[3.35452781355 + 661.232926781 * tau] + 8.7e-10 * cos[3.4967618964 + 4061.751657906 * tau] + 8.6e-10 * cos[0.66787658068 + 2957.7331481288 * tau] + 9.6e-10 * cos[1.02187746571 + 2899.7871418222 * tau] + 1.01e-9 * cos[1.5157029904 + 7807.0941925032 * tau] + 9.2e-10 * cos[0.74386387542 + 4845.9002357928 * tau] + 9.4e-10 * cos[1.10573952457 + 4591.4426230006 * tau] + 9.9e-10 * cos[1.16054562056 + 128.0188433374 * tau] + 9.7e-10 * cos[2.26544245706 + 13361.469385731 * tau] + 9.4e-10 * cos[1.36645151323 + 9093.9973115966 * tau] + 8.4e-10 * cos[4.30909434949 + 4150.0898961468 * tau] + 8.6e-10 * cos[1.91214909013 + 55516.4187098482 * tau] + 8.4e-10 * cos[5.66081869654 + 1169.5882514086 * tau] + 1.01e-9 * cos[0.36591831115 + 2942.3961129888 * tau] + 1.18e-9 * cos[1.027395272 + 34115.1140692746 * tau] + 9.7e-10 * cos[2.70091698598 + 3339.4317840477 * tau] + 8.9e-10 * cos[3.88600719587 + 12199.9750023914 * tau] + 1.06e-9 * cos[6.1201188073 + 4819.4790007642 * tau] + 8.8e-10 * cos[4.47996444588 + 21957.680727747 * tau] + 8.5e-10 * cos[4.58476007089 + 1699.2792165032 * tau] + 8.7e-10 * cos[3.02856210899 + 7218.029365495 * tau] + 9.9e-10 * cos[1.06539589813 + 2810.8541513024 * tau] + 8.6e-10 * cos[0.18628425275 + 216.822213787 * tau] + 1.15e-9 * cos[3.49732055752 + 4.5034394172 * tau] + 1.01e-9 * cos[0.99308133443 + 6614.7374444852 * tau] + 8.7e-10 * cos[0.74049208991 + 41990.7859328988 * tau] + 9.4e-10 * cos[5.68919291448 + 6106.8800550648 * tau] + 9.0e-10 * cos[2.79573736864 + 47477.5637760738 * tau] + 8.7e-10 * cos[1.43790822626 + 9488.6231966558 * tau] + 8.7e-10 * cos[1.50181194995 + 9983.7042444616 * tau] + 8.7e-10 * cos[6.26525215858 + 34554.8138636676 * tau] + 9.4e-10 * cos[4.78960145866 + 35707.7100829074 * tau] + 1.14e-9 * cos[4.15908543927 + 9090.4741932476 * tau] + 9.8e-10 * cos[0.65689906709 + 2810.988771908 * tau] + 8.9e-10 * cos[4.51228904794 + 10037.0897512844 * tau] + 9.6e-10 * 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* 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 * 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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 + 1432.3961511484 * tau] + 3.63e-9 * cos[4.7056711323 + 2730.2069586892 * tau] + 3.02e-9 * cos[2.08708848849 + 526.9826521089 * tau] + 3.24e-9 * cos[0.32544817254 + 586.3133163972 * tau] + 3.33e-9 * cos[2.91352254678 + 576.1613880106 * tau] + 3.40e-9 * cos[2.77813018312 + 3.523118349 * tau] + 3.10e-9 * cos[1.97259286255 + 754.0357607965 * tau] + 3.42e-9 * cos[6.15347077985 + 1371.8416465827 * tau] + 4.08e-9 * cos[0.45800247268 + 1578.0271950199 * tau] + 4.17e-9 * cos[0.20173093597 + 842.9014410135 * tau] + 3.18e-9 * cos[2.0207280007 + 2964.8466951296 * tau] + 3.30e-9 * cos[6.05223507989 + 215.7467759928 * tau] + 3.95e-9 * cos[3.26282558955 + 484.444382456 * tau] + 3.24e-9 * cos[4.2368500521 + 642.3449668688 * tau] + 3.28e-9 * cos[4.55286002816 + 1696.0978227655 * tau] + 4.24e-9 * cos[4.72757252331 + 1366.2125722902 * tau] + 4.27e-9 * cos[3.6128526491 + 860.3099287528 * tau] + 4.58e-9 * cos[3.42556794767 + 121.2520214833 * tau] + 3.39e-9 * cos[4.12175871949 + 3906.9087570986 * tau] + 3.80e-9 * cos[3.92653231573 + 561.1835344836 * tau] + 3.83e-9 * cos[5.09229089574 + 539.2521926502 * tau] + 3.54e-9 * cos[0.6213633142 + 498.6714764576 * tau] + 3.49e-9 * cos[3.59598366422 + 1058.8606653274 * tau] + 4.06e-9 * cos[2.72102389267 + 1438.0252254409 * tau] + 4.54e-9 * cos[1.6332519795 + 976.0023119128 * tau] + 3.65e-9 * cos[5.16456645463 + 4694.0029547076 * tau] + 4.25e-9 * cos[3.22287851959 + 2655.5683724738 * tau] + 4.35e-9 * cos[3.7610335849 + 523.0986829556 * tau] + 4.07e-9 * cos[5.13442416563 + 3487.4241132234 * tau] + 4.01e-9 * cos[4.44475618337 + 990.2294059144 * tau] + 4.53e-9 * cos[3.86104865567 + 758.7710632117 * tau] + 3.77e-9 * cos[6.25375060718 + 913.7508863177 * tau] + 4.54e-9 * cos[0.10952919733 + 600.5404103988 * tau] + 4.99e-9 * cos[3.80738617353 + 81.0013736908 * tau] + 4.50e-9 * cos[5.49339192735 + 602.9880909536 * tau] + 3.85e-9 * cos[1.69092319074 + 4113.0943055358 * tau] + 4.15e-9 * cos[1.68861617902 + 391.1734682239 * tau] + 4.13e-9 * cos[4.38801694479 + 6151.533888305 * tau] + 5.33e-9 * cos[2.54951615753 + 141.2258098564 * tau] + 4.61e-9 * cos[3.2646289482 + 102.1295663721 * tau] + 4.01e-9 * cos[5.70326543719 + 1127.0499817557 * tau] + 4.34e-9 * cos[0.36146539146 + 1304.9243545416 * tau] + 4.90e-9 * cos[4.72785081986 + 277.0349937414 * tau] + 4.19e-9 * cos[0.81834479225 + 1165.6560981455 * tau] + 4.52e-9 * cos[1.00194596383 + 113.3877149571 * tau] + 4.11e-9 * cos[3.12424023238 + 536.2832472336 * tau] + 4.24e-9 * cos[0.12699448931 + 1268.7488723641 * tau] + 4.14e-9 * cos[1.54298025443 + 115.6229471908 * tau] + 4.27e-9 * cos[3.21032629463 + 2840.4132799086 * tau] + 4.52e-9 * cos[2.57855172248 + 1254.5217783625 * tau] + 4.87e-9 * cos[5.78767525063 + 12036.4607348882 * tau] + 4.40e-9 * cos[5.28884782489 + 497.4476361802 * tau] + 5.15e-9 * cos[3.46469417437 + 530.9629894818 * tau] + 4.32e-9 * cos[0.27167052107 + 93.531546663 * tau] + 5.40e-9 * cos[1.7377799597 + 536.7563279856 * tau] + 5.80e-9 * cos[2.06327501551 + 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cos[1.30805283339 + 633.7469471597 * tau] + 9.33e-9 * cos[4.62559759882 + 1049.0869894507 * tau] + 1.165e-8 * cos[3.50653563773 + 8.5980197091 * tau] + 1.251e-8 * cos[6.15889818604 + 462.0229135281 * tau] + 1.060e-8 * cos[3.85856787901 + 631.8205314667 * tau] + 1.288e-8 * cos[4.23019288942 + 1215.1649024473 * tau] + 1.077e-8 * cos[0.95716576092 + 608.404716925 * tau] + 1.109e-8 * cos[3.63294273717 + 306.830642101 * tau] + 1.161e-8 * cos[0.01274801567 + 850.0149880143 * tau] + 1.049e-8 * cos[5.81616384906 + 26.826702943 * tau] + 1.175e-8 * cos[3.09093466406 + 1894.4190646765 * tau] + 9.61e-9 * cos[0.87315283361 + 544.6688186216 * tau] + 9.96e-9 * cos[5.41921062583 + 1059.430114299 * tau] + 1.050e-8 * cos[2.20935815967 + 7.2254215854 * tau] + 9.84e-9 * cos[0.98260254313 + 632.7355552034 * tau] + 1.049e-8 * cos[2.94931080683 + 3693.6096616606 * tau] + 1.061e-8 * cos[5.60184374277 + 732.6951197941 * tau] + 9.75e-9 * cos[3.80216680539 + 2627.1141844706 * tau] + 9.91e-9 * cos[4.16587903812 + 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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 + 5223.6939198022 * tau] + 3.885e-8 * cos[1.5677878681 + 647.0108333148 * tau] + 3.949e-8 * cos[4.56507101172 + 1382.8873468466 * tau] + 4.210e-8 * cos[5.32763589447 + 2538.2485042536 * tau] + 3.855e-8 * cos[4.28942301453 + 1994.3304451574 * tau] + 5.269e-8 * cos[3.89116469022 + 191.9584544356 * tau] + 5.345e-8 * cos[0.3151385183 + 1289.9465010146 * tau] + 4.414e-8 * cos[5.67224020329 + 1464.6394800628 * tau] + 4.561e-8 * cos[2.29650164054 + 3163.918696566 * tau] + 4.156e-8 * cos[4.00660658688 + 99.9113804809 * tau] + 4.261e-8 * cos[2.67044686458 + 561.934294009 * tau] + 4.701e-8 * cos[3.41634869046 + 3060.8259223474 * tau] + 4.936e-8 * cos[4.82992988255 + 422.6660376129 * tau] + 4.453e-8 * cos[0.50551854591 + 524.0618908021 * tau] + 4.280e-8 * cos[0.5478382371 + 1.4362885985 * tau] + 4.313e-8 * cos[4.79369370451 + 535.107591066 * tau] + 4.471e-8 * cos[4.49152882547 + 505.3119427064 * tau] + 5.629e-8 * cos[3.73871604865 + 530.2122299564 * tau] + 4.854e-8 * cos[5.63875661096 + 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] + 7.902e-8 * cos[2.32510002614 + 230.5645708254 * tau] + 6.383e-8 * cos[3.54310669809 + 1891.2376709388 * tau] + 6.341e-8 * cos[0.0727800158 + 202.2533951741 * tau] + 8.263e-8 * cos[1.23558676139 + 1802.3719907218 * tau] + 9.377e-8 * cos[4.03158388202 + 2810.9214616052 * tau] + 6.645e-8 * cos[0.45647460873 + 635.9651330509 * tau] + 7.753e-8 * cos[2.12871653382 + 33.9402499438 * tau] + 7.247e-8 * cos[4.6160767756 + 2420.9286360334 * tau] + 7.164e-8 * cos[4.93400217968 + 1056.2005364515 * tau] + 7.265e-8 * cos[4.65503563919 + 629.6023455755 * tau] + 7.706e-8 * cos[1.69832954219 + 8.0767548473 * tau] + 7.841e-8 * cos[6.08025056721 + 70.8494453042 * tau] + 8.575e-8 * cos[5.29590411702 + 415.5524906121 * tau] + 7.946e-8 * cos[2.8668292607 + 2125.8774073792 * tau] + 8.811e-8 * cos[3.46911754939 + 1021.2488945514 * tau] + 7.850e-8 * cos[0.98996894618 + 408.4389436113 * tau] + 1.0630e-7 * cos[2.07777800288 + 92.0470739547 * tau] + 9.753e-8 * cos[1.22438911827 + 32.2433289144 * tau] + 8.272e-8 * 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] + 1.0942e-7 * cos[5.03602448252 + 458.8415197904 * tau] + 1.1242e-7 * cos[2.4800094787 + 423.4167971383 * tau] + 1.1347e-7 * cos[2.00818458261 + 1073.6090241908 * tau] + 1.2152e-7 * cos[0.24540531919 + 1485.9801210652 * tau] + 1.1603e-7 * cos[4.60461756191 + 7.1617311106 * tau] + 1.1677e-7 * cos[3.60447374272 + 2634.2277314714 * tau] + 1.2529e-7 * cos[1.39077179081 + 7.065362891 * tau] + 1.4681e-7 * cos[6.26423732742 + 569.0478410098 * tau] + 1.5261e-7 * cos[2.81824770887 + 621.7380390493 * tau] + 1.3665e-7 * cos[3.5603967831 + 217.2312487011 * tau] + 1.6199e-7 * cos[2.77035044582 + 760.25553592 * tau] + 1.2398e-7 * cos[2.61042299578 + 405.2575498736 * tau] + 1.5832e-7 * cos[4.11682440678 + 636.7158925763 * tau] + 1.5320e-7 * cos[6.07703092728 + 149.5631971346 * tau] + 1.4202e-7 * cos[2.41335693735 + 530.6541729411 * tau] + 1.4689e-7 * cos[0.87944553412 + 99.1606209555 * tau] + 1.4148e-7 * cos[2.71597731671 + 0.2606324309 * tau] + 1.3279e-7 * cos[2.18943981644 + 1055.4497769261 * tau] + 1.7958e-7 * cos[4.30178016003 + 6.1503391543 * tau] + 1.5994e-7 * cos[1.89222417794 + 529.6427809848 * tau] + 1.7242e-7 * cos[1.59187913206 + 1439.5096981492 * tau] + 1.4964e-7 * cos[4.8603968439 + 2104.5367663768 * tau] + 2.1479e-7 * cos[1.28668134295 + 35.4247226521 * tau] + 2.0697e-7 * cos[4.03443281612 + 355.7487455718 * tau] + 1.6134e-7 * cos[5.27095037302 + 142.4496501338 * tau] + 1.5994e-7 * cos[5.09003530653 + 529.7391492044 * tau] + 2.0189e-7 * cos[1.01560227681 + 628.8515860501 * tau] + 2.3732e-7 * cos[2.52766031921 + 494.2662424425 * tau] + 2.0155e-7 * cos[5.59582008789 + 527.2432845398 * tau] + 2.1617e-7 * cos[6.01696940024 + 1063.3140834523 * tau] + 2.2910e-7 * cos[3.84914895064 + 2428.0421830342 * tau] + 1.9332e-7 * cos[4.86314494382 + 1361.5467058442 * tau] + 1.9445e-7 * cos[0.52370214471 + 14.977853527 * tau] + 2.3282e-7 * cos[3.24372142416 + 984.6003316219 * tau] + 3.0476e-7 * cos[3.66677894407 + 508.3503240922 * tau] + 3.0765e-7 * cos[0.42330537728 + 1.4844727083 * tau] + 2.6064e-7 * cos[2.74361318804 + 2531.1349572528 * tau] + 2.6837e-7 * cos[1.77586123775 + 532.1386456494 * tau] + 2.7111e-7 * cos[2.80845435102 + 18.1592472647 * tau] + 2.4266e-7 * cos[3.82355417268 + 1574.8458012822 * tau] + 3.3844e-7 * cos[1.00563073268 + 9683.5945811164 * tau] + 2.4705e-7 * cos[2.63495214991 + 114.1384744825 * tau] + 2.5820e-7 * cos[3.85920882494 + 2317.8358618148 * tau] + 2.7686e-7 * cos[1.85227036207 + 0.2124483211 * tau] + 3.2811e-7 * cos[5.28907118836 + 88.865680217 * tau] + 2.9849e-7 * cos[5.34441117167 + 2221.856634597 * tau] + 3.1598e-7 * cos[5.14073450755 + 1788.1448967202 * tau] + 4.3402e-7 * cos[0.14992289081 + 528.2064923863 * tau] + 3.5828e-7 * cos[4.61459907698 + 2008.557539159 * tau] + 3.7567e-7 * cos[6.19481310233 + 831.8557407496 * tau] + 3.9190e-7 * cos[1.71835571629 + 11.0457002639 * tau] + 3.7888e-7 * cos[0.21127448431 + 2648.454825473 * tau] + 3.5920e-7 * cos[2.45088036239 + 430.5303441391 * tau] + 4.1830e-7 * cos[4.67982493646 + 302.164775655 * tau] + 4.6800e-7 * cos[3.54640538283 + 5.4166259714 * tau] + 3.8450e-7 * cos[2.43836870888 + 433.7117378768 * tau] + 3.8920e-7 * cos[6.0759290558 + 518.6452648307 * tau] + 5.4459e-7 * cos[1.57072704127 + 983.1158589136 * tau] + 4.6042e-7 * cos[5.1098351515 + 4.665866446 * tau] + 3.9298e-7 * cos[4.25448423697 + 853.196381752 * tau] + 4.6654e-7 * cos[4.79394835282 + 305.3461693927 * tau] + 4.0103e-7 * cos[4.68801114087 + 0.1600586944 * tau] + 5.8190e-7 * cos[5.86646380344 + 5753.3848848968 * tau] + 4.6442e-7 * cos[4.66531163524 + 5.6290742925 * tau] + 5.1916e-7 * cos[4.1004818002 + 1258.4539316256 * tau] + 7.0297e-7 * cos[5.14180555282 + 835.0371344873 * tau] + 5.2854e-7 * cos[0.91207215543 + 10.2949407385 * tau] + 5.6012e-7 * cos[1.15493222602 + 21.3406410024 * tau] + 6.0194e-7 * cos[4.12628179571 + 4.192785694 * tau] + 6.6532e-7 * cos[2.98864358135 + 2214.7430875962 * tau] + 6.2481e-7 * cos[0.51211384012 + 220.4126424388 * tau] + 5.9427e-7 * cos[4.11130498612 + 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] +