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// Functions for calculating the positions of the planets to high accuracy
// using the full VSOP87 theory.
//
// Reference: The citations to chapter numbers and equations are from:
//
// Meeus, Jean, _Astronomical Algorithms_, Second Edition
// which is one of the best technical books I've ever read.
// Absolutely recommended.
//
// http://www.willbell.com/math/mc1.htm
use sun.frink
// A data structure used to hold planet information.
class Planet
{
// The name of the planet
var name
// A function to calculate the heliocentric coordinates
var coordFunc
// A function to calculate the magnitude as seen from earth.
var magFunc
// The radius of the planet
var radius
// The mass of the planet
var mass
// Constructor that takes a name, a function to calculate heliocentric
// coordinates, and a function to calculate magnitude
new[n, cfunc, mfunc, radius1, mass1] :=
{
name = n
coordFunc = cfunc
magFunc = mfunc
radius = radius1
mass = mass1
}
// Returns the heliocentric coordinates at the given time
// returns:
// [L, B, R]
//
// Where
// L is the heliocentric longitude,
// B is the heliocentric latitude
// R is the distance from the sun.
getCoordinates[date] :=
{
return coordFunc[date]
}
// Returns the visual magnitude of the planet, as seen from earth, at the
// given time.
getMagnitude[date] :=
{
return magFunc[date]
}
// Returns the name of this planet.
getName[] := name
// Calculates geocentric (as seen from Earth) coordinates of a planet
// (other than earth, obviously,) at the specified time. For example, to
// see the position of Mars from Earth, you want to call:
// [ra, decl] = Planet.Mars.geocentricCoordinates[date]
//
// returns:
// [ra, decl, distance]
geocentricCoordinates[date, timeConverge=.1 s, FK5=false] :=
{
// println["geocentricCoordinates: this planet is " + this];
[x,y,z,distance,sunLong] = Planet.Earth.apparentPosition[date, this, timeConverge]
lambda = arctan[y,x]
beta = z / sqrt[x^2+y^2] // eq. 33.2
// println["lambda is " + ((lambda mod circle) -> "degrees")]
// println["beta is " + (beta -> "degrees")]
// This is from Meeus ch. 23, before eq. 23.2
e = earthEccentricity[date]
T = meeusT[date]
longPi = (102.93735 + 1.71946 T + .00046 T^2) degrees
// println["e=$e"]
// println["longPi = " + (longPi->"degrees")]
// println["sunLong = " + (sunLong->"degrees")]
// Eq. 23.2
k = 20.49552 arcsec
deltaLambda = (-k cos[sunLong - lambda] + e k cos[longPi-lambda])/cos[beta]
deltaBeta = -k sin[beta] ( sin[sunLong - lambda] - e sin[longPi - lambda])
// println["deltaLambda is " + ((deltaLambda) -> "degrees")]
// println["deltaBeta is " + (deltaBeta -> "degrees")]
lambda = lambda + deltaLambda
beta = beta + deltaBeta
// println["New lambda is " + ((lambda mod circle) -> "degrees")]
// println["New beta is " + (beta -> "degrees")]
if (FK5)
{
[deltaLambda, deltaBeta] = correctionDynamicalToFK5[date, lambda, beta]
lambda = lambda + deltaLambda
beta = beta + deltaBeta
}
// println["deltaLambda is " + ((deltaLambda) -> "degrees")]
// println["deltaBeta is " + (deltaBeta -> "degrees")]
// println["New lambda is " + ((lambda mod circle) -> "degrees")]
// println["New beta is " + (beta -> "degrees")]
// Correct for nutation
[deltapsi, deltaepsilon] = highAccuracyNutation[date]
// println["deltaPsi is " + ((deltapsi) -> "arcsec")]
// println["deltaEpsilon is " + (deltaepsilon -> "arcsec")]
lambda = lambda + deltapsi
// println["New lambda is " + ((lambda mod circle) -> "degrees")]
epsilon = trueObliquityOfEcliptic[date]
// println["Epsilon is " + (epsilon -> "degrees")]
[alpha, delta] = eclipticalToRADecl[lambda, beta, epsilon]
return [alpha, delta, distance]
}
/* Find the apparent position of one planet from this planet at the
specified time. See chapter 33 in Meeus.
Arguments:
date: The date to calculate for
toPlanet: a Planet reference for the planet you're looking at.
timeConvergence: An iteration limit which is needed for solving these
equations for moving planets. When the correction to the
solution is less than this time, the result is considered
to have converged. The default should be more than adequate.
For example, looking from Earth to Venus, you'd do something like:
Planet.Earth.apparentPosition[now[], Planet.Venus]
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] +
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1.053e-8 * cos[5.1799602632 + 23754.70674870219 * tau] +
1.065e-8 * cos[3.61081835123 + 206.1855484372 * tau] +
1.314e-8 * cos[5.91505351846 + 115674.27666460119 * tau] +
1.034e-8 * cos[1.4954429444 + 151975.46535238638 * tau] +
1.468e-8 * cos[5.7150779125 + 24491.71669928959 * tau] +
1.493e-8 * cos[2.89973504649 + 52099.5402118728 * tau] +
1.082e-8 * cos[2.56550728704 + 26190.99591579279 * tau] +
1.143e-8 * cos[0.38707356937 + 42153.969003049 * tau] +
1.252e-8 * cos[5.65227031449 + 26013.1215430069 * tau] +
1.477e-8 * cos[2.40227455027 + 313054.83769889036 * tau] +
1.310e-8 * cos[5.2825063668 + 25619.9381512198 * tau] +
1.390e-8 * cos[5.13745290383 + 419.4846438752 * tau] +
1.224e-8 * cos[3.24032680768 + 162188.75089859738 * tau] +
1.355e-8 * cos[3.15837061982 + 1066.49547719 * tau] +
1.439e-8 * cos[0.8328616637 + 55618.3812281138 * tau] +
1.315e-8 * cos[1.83254115004 + 76144.94556434419 * tau] +
1.472e-8 * cos[5.56006656586 + 95247.70557217918 * tau] +
1.263e-8 * cos[4.96320745251 + 74821.13447975718 * tau] +
1.725e-8 * cos[4.40112128069 + 316.3918696566 * tau] +
1.567e-8 * cos[0.65981123945 + 157636.79740153858 * tau] +
1.525e-8 * cos[4.62451312025 + 26081.27458267419 * tau] +
1.419e-8 * cos[3.90109225299 + 7880.08915333899 * tau] +
1.373e-8 * cos[4.32419381493 + 80482.46652890938 * tau] +
1.927e-8 * cos[3.90378108197 + 74.7815985673 * tau] +
1.594e-8 * cos[3.00887674765 + 77623.81213840858 * tau] +
1.516e-8 * cos[5.3232780244 + 129909.82474277639 * tau] +
1.481e-8 * cos[3.62242942443 + 149.5631971346 * tau] +
1.480e-8 * cos[4.55094492082 + 124778.18365871879 * tau] +
1.449e-8 * cos[3.39742463494 + 24505.94379329119 * tau] +
1.453e-8 * cos[0.3412522219 + 1052.2683831884 * tau] +
1.460e-8 * cos[1.01790185557 + 25455.119402261 * tau] +
1.480e-8 * cos[1.87644604156 + 104881.30353139139 * tau] +
2.105e-8 * cos[4.04128506778 + 25234.70675982219 * tau] +
1.829e-8 * cos[0.38846130335 + 522.5774180938 * tau] +
2.055e-8 * cos[4.16315644175 + 52182.9198301492 * tau] +
1.525e-8 * cos[1.48231179113 + 26094.53170047421 * tau] +
1.539e-8 * cos[2.25468618977 + 120226.23016165999 * tau] +
2.042e-8 * cos[2.05385564074 + 45405.0956819028 * tau] +
1.589e-8 * cos[1.3353124195 + 114.43928868521 * tau] +
1.581e-8 * cos[0.36987184257 + 53764.8791784322 * tau] +
1.976e-8 * cos[3.57365896777 + 24395.7374720718 * tau] +
1.916e-8 * cos[5.8372646205 + 85502.38501632259 * tau] +
1.715e-8 * cos[4.6217746471 + 49957.0491789616 * tau] +
2.129e-8 * cos[2.66251948472 + 18093.37469954999 * tau] +
1.704e-8 * cos[0.3672357774 + 52602.4044740244 * tau] +
2.471e-8 * cos[2.55057179214 + 52026.2430860138 * tau] +
1.819e-8 * cos[0.69178943674 + 98068.53671630539 * tau] +
1.918e-8 * cos[0.79899605678 + 26555.8681319286 * tau] +
2.559e-8 * cos[1.18101453315 + 45494.58142974879 * tau] +
2.593e-8 * cos[2.55122032446 + 25654.19140369739 * tau] +
2.188e-8 * cos[1.18654376903 + 2118.7638603784 * tau] +
2.003e-8 * cos[3.75422326828 + 16066.0658614748 * tau] +
2.098e-8 * cos[2.4713206914 + 66941.04532641819 * tau] +
2.523e-8 * cos[5.90356438675 + 51123.53789995999 * tau] +
2.737e-8 * cos[1.08192567668 + 632.7837393132 * tau] +
2.392e-8 * cos[0.17898534184 + 103.0927742186 * tau] +
2.566e-8 * cos[3.00606194044 + 51109.31080595839 * tau] +
2.106e-8 * cos[5.41271503337 + 155468.03691925599 * tau] +
2.402e-8 * cos[0.55121112633 + 52171.9249477904 * tau] +
2.197e-8 * cos[2.56129546358 + 3340.6124266998 * tau] +
2.421e-8 * cos[3.95913346049 + 49.9966219042 * tau] +
3.012e-8 * cos[0.83689268367 + 129330.13715577759 * tau] +
2.357e-8 * cos[0.17742385045 + 117873.36400788819 * tau] +
2.296e-8 * cos[3.09900451546 + 88476.99497093359 * tau] +
2.416e-8 * cos[5.26204437192 + 52179.6876185064 * tau] +
2.509e-8 * cos[0.61934630416 + 85034.42002596818 * tau] +
2.409e-8 * cos[2.14208355028 + 64741.95798313119 * tau] +
2.492e-8 * cos[5.24922078791 + 25668.418497699 * tau] +
2.458e-8 * cos[1.14904830408 + 2333.196392872 * tau] +
2.787e-8 * cos[0.54704419913 + 52389.1053785864 * tau] +
3.556e-8 * cos[3.96231142071 + 52195.47604404819 * tau] +
3.163e-8 * cos[5.38713552769 + 105307.21230790539 * tau] +
3.177e-8 * cos[0.05753403864 + 22747.2907148744 * tau] +
2.991e-8 * cos[2.92278339368 + 44937.1306915484 * tau] +
3.708e-8 * cos[0.02713701028 + 26241.681952059 * tau] +
2.899e-8 * cos[5.08451495112 + 58458.88213313979 * tau] +
3.218e-8 * cos[5.20938751579 + 103925.01437542078 * tau] +
2.990e-8 * cos[5.27323635392 + 46848.3301747656 * tau] +
4.395e-8 * cos[3.2547591476 + 77308.10968311399 * tau] +
3.411e-8 * cos[6.13976263434 + 639.897286314 * tau] +
3.492e-8 * cos[1.28206984744 + 52168.69273614759 * tau] +
3.525e-8 * cos[6.07665337319 + 25934.1243310894 * tau] +
3.396e-8 * cos[3.73870967348 + 82815.66292178139 * tau] +
4.459e-8 * cos[4.88911997687 + 50057.04242277 * tau] +
3.867e-8 * cos[1.25354714671 + 54394.56338733519 * tau] +
3.497e-8 * cos[1.85400531491 + 52156.1365222486 * tau] +
3.687e-8 * cos[5.33717753698 + 102762.53967101299 * tau] +
4.498e-8 * cos[1.50325539137 + 51962.5071877104 * tau] +
3.681e-8 * cos[2.80180999964 + 79323.09135491178 * tau] +
3.929e-8 * cos[2.48449041501 + 69159.80243060499 * tau] +
3.928e-8 * cos[4.8143793369 + 125887.56221081219 * tau] +
5.728e-8 * cos[3.02314979708 + 89586.37352302698 * tau] +
5.918e-8 * cos[3.98930701135 + 131548.89425996438 * tau] +
5.908e-8 * cos[4.12195491631 + 29530.4780865396 * tau] +
5.787e-8 * cos[4.44783057272 + 19406.6782881746 * tau] +
4.647e-8 * cos[0.29020584575 + 136100.84775702319 * tau] +
6.000e-8 * cos[0.00057044073 + 51535.90899683439 * tau] +
5.215e-8 * cos[3.29186833997 + 38519.945791972 * tau] +
5.858e-8 * cos[6.12538452806 + 26011.6370702986 * tau] +
5.873e-8 * cos[5.76210244486 + 286966.93455731616 * tau] +
5.121e-8 * cos[3.77832929907 + 58946.51688439399 * tau] +
5.788e-8 * cos[2.3546749239 + 103821.92160120218 * tau] +
5.681e-8 * cos[1.60727624525 + 98690.28051714458 * tau] +
5.855e-8 * cos[2.14311779301 + 20760.4270331914 * tau] +
5.716e-8 * cos[5.18204203484 + 78793.40038981718 * tau] +
5.896e-8 * cos[5.57171141866 + 94138.32702008578 * tau] +
6.061e-8 * cos[3.67044794062 + 27676.976036858 * tau] +
7.595e-8 * cos[0.18334396433 + 12432.0426503978 * tau] +
6.956e-8 * cos[1.62821260299 + 23869.1460373874 * tau] +
7.038e-8 * cos[3.99035923761 + 71980.63357473118 * tau] +
6.568e-8 * cos[3.66248946629 + 26514.5013324502 * tau] +
8.126e-8 * cos[1.12294634635 + 26095.016688575 * tau] +
9.001e-8 * cos[6.23396256413 + 25021.4076643842 * tau] +
7.425e-8 * cos[4.7116033039 + 6.62855890001 * tau] +
8.343e-8 * cos[5.34499871294 + 19317.1925403286 * tau] +
8.033e-8 * cos[2.45692824195 + 129380.13377768178 * tau] +
8.181e-8 * cos[5.77857196635 + 40853.142184844 * tau] +
8.855e-8 * cos[2.84672636028 + 25035.6347583858 * tau] +
9.664e-8 * cos[5.77941968495 + 25938.3399444396 * tau] +
8.977e-8 * cos[3.47888073089 + 91785.46086631398 * tau] +
9.677e-8 * cos[2.98527809776 + 59414.4818747484 * tau] +
1.1146e-7 * cos[3.78292300417 + 26301.2022370122 * tau] +
1.1543e-7 * cos[4.17789167759 + 103242.23401420339 * tau] +
8.961e-8 * cos[0.11062526114 + 62389.09182935939 * tau] +
9.264e-8 * cos[4.02987000812 + 467.9649903544 * tau] +
9.747e-8 * cos[3.83976857418 + 26084.0218062162 * tau] +
9.362e-8 * cos[5.44291958209 + 38654.05484155699 * tau] +
9.803e-8 * cos[2.26706433546 + 26091.7844769322 * tau] +
9.950e-8 * cos[2.0459444888 + 48733.23133818299 * tau] +
1.2412e-7 * cos[2.22280944169 + 77837.11123384659 * tau] +
1.1632e-7 * cos[2.3849686026 + 79219.30916633119 * tau] +
1.3392e-7 * cos[4.51750784605 + 26080.78959457339 * tau] +
1.1233e-7 * cos[2.04817126136 + 32370.9789915656 * tau] +
1.4381e-7 * cos[1.90956715654 + 23969.1392811958 * tau] +
1.1990e-7 * cos[6.20492907598 + 18849.2275499742 * tau] +
1.4428e-7 * cos[0.96646356501 + 26107.57290247399 * tau] +
1.3978e-7 * cos[2.30193139916 + 76674.63652943878 * tau] +
1.3387e-7 * cos[0.76564655407 + 56727.7597802072 * tau] +
1.4938e-7 * cos[1.83542009339 + 99799.65906923798 * tau] +
1.7176e-7 * cos[3.26084092971 + 153.7788104848 * tau] +
1.7244e-7 * cos[0.28394746813 + 51220.20654153979 * tau] +
1.4186e-7 * cos[5.14246797066 + 26068.2333806744 * tau] +
1.4176e-7 * cos[6.12394176563 + 53235.18821333759 * tau] +
1.8586e-7 * cos[4.52709871258 + 28306.66024576099 * tau] +
1.7576e-7 * cos[4.71742326981 + 25874.6040461362 * tau] +
2.2407e-7 * cos[1.02520094825 + 105460.99111839019 * tau] +
1.7803e-7 * cos[3.61202297483 + 110012.94461544899 * tau] +
2.2247e-7 * cos[3.22418265191 + 25448.00585526019 * tau] +
2.7086e-7 * cos[0.08501738669 + 63498.47038145279 * tau] +
2.2908e-7 * cos[2.58462026514 + 68050.42387851159 * tau] +
2.3656e-7 * cos[2.84168536986 + 260879.03141574195 * tau] +
2.6751e-7 * cos[1.06145361792 + 3442.5749449654 * tau] +
2.4252e-7 * cos[4.39994170609 + 7.1135470008 * tau] +
2.2275e-7 * cos[2.17909842576 + 52705.49724824299 * tau] +
2.2047e-7 * cos[4.93398225193 + 72602.37737557039 * tau] +
2.2347e-7 * cos[5.65335125838 + 77734.01845962799 * tau] +
2.7504e-7 * cos[0.98010127839 + 45892.73043315699 * tau] +
2.9538e-7 * cos[0.69771244088 + 213.299095438 * tau] +
2.6253e-7 * cos[0.64807043102 + 1589.0728952838 * tau] +
2.6215e-7 * cos[5.24158618719 + 22645.32819660879 * tau] +
2.8496e-7 * cos[0.65048992658 + 426.598190876 * tau] +
3.0800e-7 * cos[5.77017310191 + 103292.23063610759 * tau] +
3.4044e-7 * cos[0.47470299167 + 65697.55772473979 * tau] +
3.5964e-7 * cos[1.4238083863 + 2218.7571041868 * tau] +
3.0560e-7 * cos[5.84045074182 + 43071.8992890308 * tau] +
3.3951e-7 * cos[2.78618091049 + 14765.2390432698 * tau] +
3.5392e-7 * cos[3.36964859355 + 36301.18868778519 * tau] +
4.8007e-7 * cos[5.49260554912 + 51749.20809227239 * tau] +
3.5627e-7 * cos[0.81390126585 + 32858.61374281979 * tau] +
3.8045e-7 * cos[2.43117327523 + 12566.1516999828 * tau] +
4.1882e-7 * cos[5.19309298528 + 6283.0758499914 * tau] +
4.4744e-7 * cos[1.22366857463 + 77154.33087262919 * tau] +
5.1458e-7 * cos[5.47786463494 + 50586.73338786459 * tau] +
4.1764e-7 * cos[5.64185159566 + 53131.406024757 * tau] +
5.6531e-7 * cos[5.11920557675 + 73711.75592766379 * tau] +
4.9567e-7 * cos[3.98985863874 + 6770.7106012456 * tau] +
4.7560e-7 * cos[5.49722099211 + 3.881335358 * tau] +
5.4442e-7 * cos[3.14331542453 + 27147.28507176339 * tau] +
5.5376e-7 * cos[4.05312663019 + 30639.856638633 * tau] +
6.4830e-7 * cos[0.0476292581 + 33326.5787331742 * tau] +
5.9481e-7 * cos[2.74692752 + 16983.9961474566 * tau] +
6.9729e-7 * cos[3.57201709671 + 25132.3033999656 * tau] +
6.8493e-7 * cos[0.63424819267 + 83925.04147387479 * tau] +
6.3463e-7 * cos[3.14700877722 + 7238.6755916 * tau] +
6.9247e-7 * cos[4.19446437496 + 19.66976089979 * tau] +
8.4971e-7 * cos[4.33100364958 + 79373.08797681599 * tau] +
8.9987e-7 * cos[5.85243631094 + 41962.5207369374 * tau] +
0.00000106422 * cos[4.20572116254 + 19804.8272915828 * tau] +
8.8329e-7 * cos[5.41338795963 + 26617.5941066688 * tau] +
8.6723e-7 * cos[1.9595304265 + 46514.4742339962 * tau] +
8.6819e-7 * cos[2.64219349385 + 51646.11531805379 * tau] +
0.00000125219 * cos[3.72079804425 + 39609.6545831656 * tau] +
9.6860e-7 * cos[6.2039820274 + 234791.12827416777 * tau] +
0.00000118233 * cos[2.78149786369 + 77204.32749453338 * tau] +
0.00000137942 * cos[0.29098447849 + 10213.285546211 * tau] +
0.00000142316 * cos[3.36003948842 + 37410.5672398786 * tau] +
0.00000172643 * cos[2.45200164173 + 24498.8302462904 * tau] +
0.00000208995 * cos[2.09178234008 + 47623.8527860896 * tau] +
0.00000181629 * cos[2.43413502466 + 25661.3049506982 * tau] +
0.00000175965 * cos[4.53636829858 + 51066.427731055 * tau] +
0.00000183359 * cos[2.62878670784 + 27043.5028831828 * tau] +
0.00000216645 * cos[0.65987207348 + 13521.7514415914 * tau] +
0.00000264336 * cos[3.91705094013 + 57837.1383323006 * tau] +
0.00000238793 * cos[0.11343953378 + 1059.3819301892 * tau] +
0.0000023483 * cos[0.266721189 + 11322.6640983044 * tau] +
0.00000272947 * cos[2.49451163975 + 529.6909650946 * tau] +
0.00000345212 * cos[2.79211901539 + 15874.6175953632 * tau] +
0.00000259587 * cos[0.98732428184 + 4551.9534970588 * tau] +
0.00000325335 * cos[1.3367433478 + 53285.1848352418 * tau] +
0.00000451137 * cos[6.04989275289 + 51116.4243529592 * tau] +
0.00000339214 * cos[5.86327765 + 25558.2121764796 * tau] +
0.00000343313 * cos[5.76531885335 + 955.5997416086 * tau] +
0.00000352441 * cos[5.24156297101 + 20426.571092422 * tau] +
0.000004042 * cos[3.28228847025 + 208703.22513259358 * tau] +
0.00000643759 * cos[5.30266110787 + 21535.9496445154 * tau] +
0.00000714182 * cos[1.54144865265 + 24978.5245894808 * tau] +
0.00001017332 * cos[0.8803143904 + 31749.2351907264 * tau] +
0.00001589923 * cos[2.99510417815 + 25028.521211385 * tau] +
0.00001364682 * cos[4.59918318745 + 27197.2816936676 * tau] +
0.00001803463 * cos[4.1033317841 + 5661.3320491522 * tau] +
0.00001726012 * cos[0.35832239908 + 182615.32199101939 * tau] +
0.0000355974 * cos[1.51202669419 + 1109.3785520934 * tau] +
0.00007583476 * cos[3.7134840051 + 156527.41884944518 * tau] +
0.00034561897 * cos[0.77930765817 + 130439.51570787099 * tau] +
0.00165590362 * cos[4.11969163181 + 104351.61256629678 * tau] +
0.00855346843 * cos[1.16520322351 + 78263.70942472259 * tau] +
0.05046294199 * cos[4.4778548954 + 52175.8062831484 * tau] +
0.40989414976 * cos[1.48302034194 + 26087.9031415742 * tau] +
4.40250710144 * cos[0.0 + 0.0 * tau];
L1 = 2e-11 * cos[3.49751807681 + 259819.64948555276 * tau] +
2e-11 * cos[5.10682926241 + 159969.99379441059 * tau] +
2e-11 * cos[5.66467419812 + 25466.159340735 * tau] +
2e-11 * cos[5.57750243319 + 25928.601406782 * tau] +
2e-11 * cos[4.49873870855 + 50007.0458008658 * tau] +
2e-11 * cos[0.63373893542 + 1265.5674786264 * tau] +
2e-11 * cos[0.54898566845 + 153084.84390447979 * tau] +
2e-11 * cos[0.23150025826 + 24448.8336243862 * tau] +
3e-11 * cos[6.19860078008 + 25004.8229092806 * tau] +
2e-11 * cos[2.93412437896 + 63786.3582415226 * tau] +
2e-11 * cos[5.22579437397 + 6885.14988993081 * tau] +
2e-11 * cos[0.11511311275 + 27170.98337386779 * tau] +
3e-11 * cos[5.43138498093 + 106684.80895916879 * tau] +
2e-11 * cos[2.15515419441 + 51951.46148744649 * tau] +
2e-11 * cos[2.11477268878 + 25773.71696170459 * tau] +
3e-11 * cos[1.10832319418 + 25600.26839032 * tau] +
2e-11 * cos[5.1750816963 + 163298.12945069079 * tau] +
2e-11 * cos[5.91297170155 + 87367.61641884019 * tau] +
2e-11 * cos[4.41481991835 + 65538.25598994759 * tau] +
2e-11 * cos[5.97797555746 + 50167.24874398939 * tau] +
2e-11 * cos[3.56126103854 + 26189.8656598398 * tau] +
3e-11 * cos[5.60392923976 + 104466.051854982 * tau] +
2e-11 * cos[3.56733241522 + 26073.67604757259 * tau] +
2e-11 * cos[6.08909078783 + 116783.65521669458 * tau] +
2e-11 * cos[2.51564214512 + 26667.590728573 * tau] +
2e-11 * cos[0.63548334553 + 23384.2869868986 * tau] +
2e-11 * cos[4.74203919229 + 76887.93562487679 * tau] +
2e-11 * cos[1.90218644384 + 24356.7807886416 * tau] +
3e-11 * cos[1.11245383788 + 192828.60753723037 * tau] +
3e-11 * cos[2.06087055668 + 52065.59996192899 * tau] +
3e-11 * cos[3.05479754348 + 162810.49469943657 * tau] +
2e-11 * cos[3.75076268715 + 130005.80396999417 * tau] +
3e-11 * cos[1.3503644855 + 23919.1426592916 * tau] +
3e-11 * cos[5.29581547615 + 57503.2823915312 * tau] +
3e-11 * cos[6.1660165005 + 20043.6745601988 * tau] +
3e-11 * cos[5.02808401414 + 130432.40216087017 * tau] +
3e-11 * cos[2.80509981839 + 104358.2411251968 * tau] +
3e-11 * cos[3.28684847821 + 208276.62694171758 * tau] +
4e-11 * cos[3.60184879954 + 207114.15223730978 * tau] +
3e-11 * cos[5.95559848753 + 104344.98400739678 * tau] +
3e-11 * cos[1.86490629185 + 51707.84129279399 * tau] +
3e-11 * cos[1.06499703474 + 26734.913974889 * tau] +
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9.7e-10 * cos[0.87353840441 + 181555.94006083018 * tau] +
1.02e-9 * cos[4.69459571654 + 114564.89811250778 * tau] +
9.5e-10 * cos[1.840657503 + 85034.42002596818 * tau] +
1.31e-9 * cos[5.96070215452 + 1223.81784077861 * tau] +
1.17e-9 * cos[3.56597928882 + 71492.99882347698 * tau] +
9.9e-10 * cos[5.99257260255 + 29416.03879785439 * tau] +
1.00e-9 * cos[3.0153538215 + 28206.6670019526 * tau] +
1.00e-9 * cos[3.95989644984 + 26037.90651966999 * tau] +
1.00e-9 * cos[0.11496600894 + 74821.13447975718 * tau] +
1.10e-9 * cos[3.45757703411 + 25565.3257234804 * tau] +
1.06e-9 * cos[5.18068866237 + 85502.38501632259 * tau] +
1.14e-9 * cos[4.51555533683 + 27154.3986187642 * tau] +
1.21e-9 * cos[2.52027376421 + 76144.94556434419 * tau] +
1.15e-9 * cos[4.6184579377 + 50593.84693486539 * tau] +
1.32e-9 * cos[5.23445066335 + 26610.48055966799 * tau] +
1.53e-9 * cos[1.30046862259 + 13655.8604911764 * tau] +
1.39e-9 * cos[5.11979950242 + 433.7117378768 * tau] +
1.64e-9 * cos[6.17696810226 + 19406.6782881746 * tau] +
1.44e-9 * cos[4.06091644657 + 50579.61984086379 * tau] +
1.28e-9 * cos[6.10775258657 + 76044.9523205358 * tau] +
1.29e-9 * cos[3.26743532785 + 25973.46385288896 * tau] +
1.59e-9 * cos[5.29643521725 + 108903.56606335558 * tau] +
1.54e-9 * cos[1.72826405606 + 78477.00852016058 * tau] +
1.31e-9 * cos[0.70125733168 + 3340.6124266998 * tau] +
1.42e-9 * cos[3.31130337074 + 78050.41032928458 * tau] +
1.78e-9 * cos[4.08547287819 + 129909.82474277639 * tau] +
1.42e-9 * cos[4.24343923379 + 339142.74084046457 * tau] +
1.36e-9 * cos[0.22641179921 + 151975.46535238638 * tau] +
1.40e-9 * cos[0.27227514908 + 46848.3301747656 * tau] +
1.45e-9 * cos[5.76503611587 + 80482.46652890938 * tau] +
1.60e-9 * cos[1.39225289207 + 26011.6370702986 * tau] +
1.63e-9 * cos[1.01728531879 + 26727.8004278882 * tau] +
1.44e-9 * cos[2.9065729497 + 51322.60990139639 * tau] +
1.84e-9 * cos[0.26375114604 + 419.4846438752 * tau] +
1.50e-9 * cos[5.98491689335 + 78256.59587772179 * tau] +
1.52e-9 * cos[5.21934955501 + 77623.81213840858 * tau] +
1.79e-9 * cos[5.11561177302 + 25440.89230825939 * tau] +
1.94e-9 * cos[1.02167898855 + 44181.27784112419 * tau] +
1.62e-9 * cos[2.82561928047 + 26202.34243025941 * tau] +
1.96e-9 * cos[4.92493608061 + 102762.53967101299 * tau] +
1.58e-9 * cos[0.75224521142 + 51116.4243529592 * tau] +
1.59e-9 * cos[2.63928704121 + 28421.0995344462 * tau] +
1.81e-9 * cos[4.3998767997 + 105410.99449648599 * tau] +
1.97e-9 * cos[4.79975858562 + 25455.119402261 * tau] +
1.61e-9 * cos[5.51918174079 + 26555.8681319286 * tau] +
1.96e-9 * cos[5.59654497318 + 78270.82297172339 * tau] +
1.78e-9 * cos[1.42319344949 + 77197.21394753258 * tau] +
1.68e-9 * cos[5.96360976147 + 157636.79740153858 * tau] +
2.24e-9 * cos[0.97932137082 + 77211.44104153418 * tau] +
1.70e-9 * cos[5.57003076622 + 98068.53671630539 * tau] +
2.00e-9 * cos[1.01165813281 + 51742.09454527159 * tau] +
1.93e-9 * cos[4.34407767816 + 105307.21230790539 * tau] +
2.15e-9 * cos[2.26752450953 + 33967.99229491319 * tau] +
2.16e-9 * cos[4.48180965712 + 26241.681952059 * tau] +
1.83e-9 * cos[2.88003872828 + 3328.13565628019 * tau] +
1.96e-9 * cos[0.44564203205 + 51756.3216392732 * tau] +
1.78e-9 * cos[1.24568538055 + 103.0927742186 * tau] +
2.15e-9 * cos[5.3565209661 + 206.1855484372 * tau] +
1.80e-9 * cos[2.20428238305 + 89586.37352302698 * tau] +
1.83e-9 * cos[3.83128433173 + 69159.80243060499 * tau] +
2.01e-9 * cos[2.00560473829 + 162188.75089859738 * tau] +
1.96e-9 * cos[0.92807787406 + 120226.23016165999 * tau] +
2.03e-9 * cos[2.69458032262 + 59414.4818747484 * tau] +
2.01e-9 * cos[2.38235635877 + 23439.44831610119 * tau] +
2.18e-9 * cos[0.41409439248 + 78267.59076008058 * tau] +
2.00e-9 * cos[5.41573374322 + 16066.0658614748 * tau] +
2.18e-9 * cos[4.88963285925 + 103396.01282468818 * tau] +
2.82e-9 * cos[3.81265243625 + 536.8045120954 * tau] +
2.11e-9 * cos[3.92377004339 + 103925.01437542078 * tau] +
2.30e-9 * cos[2.45937674101 + 155418.04029735178 * tau] +
2.14e-9 * cos[3.50460190598 + 58458.88213313979 * tau] +
2.42e-9 * cos[0.44760602599 + 23754.70674870219 * tau] +
2.24e-9 * cos[5.1072681918 + 117873.36400788819 * tau] +
2.65e-9 * cos[1.04033681288 + 25938.3399444396 * tau] +
2.29e-9 * cos[5.07700202235 + 52602.4044740244 * tau] +
2.75e-9 * cos[0.59220058467 + 104881.30353139139 * tau] +
2.88e-9 * cos[3.26773464056 + 124778.18365871879 * tau] +
2.87e-9 * cos[4.98400171694 + 25551.09862947879 * tau] +
2.72e-9 * cos[5.34763989826 + 53764.8791784322 * tau] +
2.80e-9 * cos[3.33549459014 + 78244.0396638228 * tau] +
3.14e-9 * cos[1.52755129973 + 44937.1306915484 * tau] +
2.79e-9 * cos[4.17319236859 + 155468.03691925599 * tau] +
3.81e-9 * cos[2.16540447546 + 522.5774180938 * tau] +
2.80e-9 * cos[0.69995179262 + 64741.95798313119 * tau] +
3.93e-9 * cos[0.55222046684 + 45405.0956819028 * tau] +
2.81e-9 * cos[0.83478570176 + 63498.47038145279 * tau] +
3.23e-9 * cos[5.59204872298 + 55618.3812281138 * tau] +
3.03e-9 * cos[1.67537340603 + 88476.99497093359 * tau] +
3.27e-9 * cos[5.45093694594 + 7880.08915333899 * tau] +
3.48e-9 * cos[1.06528227311 + 66941.04532641819 * tau] +
3.36e-9 * cos[1.55276786593 + 24505.94379329119 * tau] +
3.40e-9 * cos[1.64349471632 + 79219.30916633119 * tau] +
4.23e-9 * cos[4.2143754624 + 18093.37469954999 * tau] +
3.56e-9 * cos[2.03727281128 + 1052.2683831884 * tau] +
3.59e-9 * cos[0.03091967859 + 2118.7638603784 * tau] +
4.00e-9 * cos[3.51557589073 + 20760.4270331914 * tau] +
4.18e-9 * cos[0.36439379673 + 51962.5071877104 * tau] +
5.08e-9 * cos[1.03838633466 + 24491.71669928959 * tau] +
3.77e-9 * cos[3.50882025297 + 125887.56221081219 * tau] +
5.23e-9 * cos[4.9239008231 + 52389.1053785864 * tau] +
4.08e-9 * cos[0.92030240581 + 77837.11123384659 * tau] +
3.95e-9 * cos[5.24320159822 + 58946.51688439399 * tau] +
4.15e-9 * cos[2.50109134151 + 71980.63357473118 * tau] +
4.70e-9 * cos[1.0748559576 + 103821.92160120218 * tau] +
4.70e-9 * cos[1.46585019834 + 1066.49547719 * tau] +
4.27e-9 * cos[5.353673111 + 49.9966219042 * tau] +
4.31e-9 * cos[3.0671483672 + 131548.89425996438 * tau] +
4.95e-9 * cos[2.11807671869 + 52171.9249477904 * tau] +
4.49e-9 * cos[3.10044122691 + 49957.0491789616 * tau] +
6.17e-9 * cos[4.18395572588 + 639.897286314 * tau] +
5.79e-9 * cos[5.45103833735 + 52195.47604404819 * tau] +
5.13e-9 * cos[2.28640740711 + 82815.66292178139 * tau] +
5.25e-9 * cos[1.31791713133 + 313054.83769889036 * tau] +
5.42e-9 * cos[2.77109053528 + 54394.56338733519 * tau] +
5.01e-9 * cos[0.39578180187 + 32370.9789915656 * tau] +
6.99e-9 * cos[2.57322536922 + 52182.9198301492 * tau] +
5.70e-9 * cos[3.1042551371 + 15874.6175953632 * tau] +
5.24e-9 * cos[2.45745967369 + 467.9649903544 * tau] +
5.27e-9 * cos[5.83448542494 + 50057.04242277 * tau] +
5.63e-9 * cos[1.38660458 + 79323.09135491178 * tau] +
5.49e-9 * cos[2.08003708209 + 91785.46086631398 * tau] +
5.67e-9 * cos[6.08785859254 + 25234.70675982219 * tau] +
5.49e-9 * cos[4.18661776549 + 94138.32702008578 * tau] +
5.81e-9 * cos[2.61707271637 + 76674.63652943878 * tau] +
6.97e-9 * cos[1.89331617498 + 77308.10968311399 * tau] +
8.11e-9 * cos[4.22885181263 + 25654.19140369739 * tau] +
6.04e-9 * cos[5.29267380518 + 136100.84775702319 * tau] +
6.10e-9 * cos[1.21194007471 + 153.7788104848 * tau] +
7.53e-9 * cos[5.64446551994 + 45892.73043315699 * tau] +
8.08e-9 * cos[6.27898737551 + 53131.406024757 * tau] +
6.60e-9 * cos[1.98037689941 + 26514.5013324502 * tau] +
6.56e-9 * cos[3.65375726729 + 25668.418497699 * tau] +
6.99e-9 * cos[4.82823185979 + 38519.945791972 * tau] +
6.51e-9 * cos[5.87383050095 + 2333.196392872 * tau] +
7.52e-9 * cos[4.70099207936 + 51109.31080595839 * tau] +
7.52e-9 * cos[4.22525357653 + 51123.53789995999 * tau] +
7.80e-9 * cos[5.77004504059 + 129330.13715577759 * tau] +
6.98e-9 * cos[2.99026308247 + 52168.69273614759 * tau] +
7.33e-9 * cos[3.2301997832 + 47623.8527860896 * tau] +
7.36e-9 * cos[6.05470921559 + 114.43928868521 * tau] +
7.45e-9 * cos[2.09648894863 + 51535.90899683439 * tau] +
7.82e-9 * cos[3.69412482234 + 52179.6876185064 * tau] +
7.82e-9 * cos[3.92653768734 + 38654.05484155699 * tau] +
7.91e-9 * cos[1.17444825871 + 129380.13377768178 * tau] +
8.31e-9 * cos[2.35459129726 + 27676.976036858 * tau] +
8.69e-9 * cos[3.87957425954 + 78793.40038981718 * tau] +
8.79e-9 * cos[4.78847722011 + 18849.2275499742 * tau] +
9.12e-9 * cos[0.27449857787 + 98690.28051714458 * tau] +
8.76e-9 * cos[4.91112286703 + 62389.09182935939 * tau] +
1.138e-8 * cos[2.56391312022 + 29530.4780865396 * tau] +
9.99e-9 * cos[5.29812267938 + 65697.55772473979 * tau] +
9.10e-9 * cos[0.49823258962 + 99799.65906923798 * tau] +
8.94e-9 * cos[0.29768279333 + 105460.99111839019 * tau] +
1.033e-8 * cos[3.72503880786 + 6283.0758499914 * tau] +
1.057e-8 * cos[4.35251408825 + 77734.01845962799 * tau] +
9.89e-9 * cos[0.33276224293 + 52156.1365222486 * tau] +
1.259e-8 * cos[1.73130656223 + 12432.0426503978 * tau] +
1.014e-8 * cos[3.58126441973 + 48733.23133818299 * tau] +
1.065e-8 * cos[4.31416942177 + 40853.142184844 * tau] +
1.124e-8 * cos[1.28920904043 + 31749.2351907264 * tau] +
1.242e-8 * cos[3.79389911401 + 25874.6040461362 * tau] +
1.347e-8 * cos[3.80254397382 + 19317.1925403286 * tau] +
1.586e-8 * cos[4.65681044624 + 79373.08797681599 * tau] +
1.358e-8 * cos[1.45317020242 + 51646.11531805379 * tau] +
1.362e-8 * cos[1.13830507985 + 68050.42387851159 * tau] +
1.574e-8 * cos[3.7587058637 + 73711.75592766379 * tau] +
1.590e-8 * cos[0.07660134798 + 23869.1460373874 * tau] +
1.597e-8 * cos[5.53494401703 + 56727.7597802072 * tau] +
2.143e-8 * cos[5.16312278245 + 51220.20654153979 * tau] +
1.784e-8 * cos[5.17926273269 + 426.598190876 * tau] +
1.785e-8 * cos[1.80830270808 + 26301.2022370122 * tau] +
1.653e-8 * cos[1.25518276011 + 33326.5787331742 * tau] +
1.954e-8 * cos[4.67733727976 + 286966.93455731616 * tau] +
1.677e-8 * cos[4.63366122462 + 53235.18821333759 * tau] +
1.700e-8 * cos[2.28603732736 + 110012.94461544899 * tau] +
1.974e-8 * cos[0.83681704901 + 12566.1516999828 * tau] +
1.979e-8 * cos[4.44092591248 + 103292.23063610759 * tau] +
1.987e-8 * cos[2.95923214706 + 23969.1392811958 * tau] +
2.616e-8 * cos[2.78322243283 + 103242.23401420339 * tau] +
2.066e-8 * cos[1.0723184563 + 43071.8992890308 * tau] +
2.872e-8 * cos[1.63503968499 + 25021.4076643842 * tau] +
2.535e-8 * cos[5.80101392346 + 26095.016688575 * tau] +
2.321e-8 * cos[5.44262378304 + 26084.0218062162 * tau] +
2.501e-8 * cos[4.34723465048 + 41962.5207369374 * tau] +
2.274e-8 * cos[1.85167073193 + 36301.18868778519 * tau] +
2.403e-8 * cos[1.1551513036 + 25035.6347583858 * tau] +
2.799e-8 * cos[2.51152391376 + 26107.57290247399 * tau] +
3.125e-8 * cos[6.07160751766 + 28306.66024576099 * tau] +
2.652e-8 * cos[0.88219699366 + 52705.49724824299 * tau] +
2.732e-8 * cos[5.64171761904 + 1589.0728952838 * tau] +
3.132e-8 * cos[6.21365344759 + 26080.78959457339 * tau] +
2.773e-8 * cos[3.54351198199 + 72602.37737557039 * tau] +
2.855e-8 * cos[0.67083991526 + 26091.7844769322 * tau] +
2.974e-8 * cos[0.14234349726 + 50586.73338786459 * tau] +
3.284e-8 * cos[5.22996707635 + 25448.00585526019 * tau] +
3.031e-8 * cos[4.45207030477 + 7238.6755916 * tau] +
3.195e-8 * cos[1.25743024246 + 14765.2390432698 * tau] +
3.417e-8 * cos[0.49855041138 + 22645.32819660879 * tau] +
3.664e-8 * cos[1.39952931281 + 77204.32749453338 * tau] +
3.547e-8 * cos[3.59413896239 + 26068.2333806744 * tau] +
4.454e-8 * cos[5.7915915618 + 3442.5749449654 * tau] +
3.571e-8 * cos[2.34341884629 + 32858.61374281979 * tau] +
4.593e-8 * cos[0.81920676333 + 25558.2121764796 * tau] +
4.299e-8 * cos[5.09070560802 + 10213.285546211 * tau] +
4.211e-8 * cos[5.53886788148 + 83925.04147387479 * tau] +
4.381e-8 * cos[4.94471456712 + 213.299095438 * tau] +
5.022e-8 * cos[3.94124675992 + 25661.3049506982 * tau] +
4.857e-8 * cos[4.84757952324 + 37410.5672398786 * tau] +
4.578e-8 * cos[1.55845855383 + 27147.28507176339 * tau] +
4.969e-8 * cos[2.4775213418 + 30639.856638633 * tau] +
5.883e-8 * cos[2.19545230409 + 13521.7514415914 * tau] +
6.364e-8 * cos[2.1380561938 + 25132.3033999656 * tau] +
7.179e-8 * cos[2.97766079692 + 2218.7571041868 * tau] +
7.285e-8 * cos[1.74581868954 + 260879.03141574195 * tau] +
5.846e-8 * cos[4.281396598 + 16983.9961474566 * tau] +
6.554e-8 * cos[5.53478998989 + 6770.7106012456 * tau] +
6.838e-8 * cos[2.77387065312 + 7.1135470008 * tau] +
8.639e-8 * cos[6.06360282793 + 77154.33087262919 * tau] +
7.665e-8 * cos[2.48158305355 + 57837.1383323006 * tau] +
8.024e-8 * cos[3.92723313702 + 27043.5028831828 * tau] +
7.929e-8 * cos[0.50426804318 + 46514.4742339962 * tau] +
7.974e-8 * cos[4.17682324505 + 26617.5941066688 * tau] +
1.2566e-7 * cos[4.70537436663 + 1059.3819301892 * tau] +
1.2621e-7 * cos[3.89530641889 + 3.881335358 * tau] +
1.2822e-7 * cos[2.69591798562 + 53285.1848352418 * tau] +
1.3964e-7 * cos[3.59426938083 + 24498.8302462904 * tau] +
1.5398e-7 * cos[5.74263453989 + 19.66976089979 * tau] +
1.5306e-7 * cos[1.79184360652 + 11322.6640983044 * tau] +
1.6680e-7 * cos[1.35134428173 + 529.6909650946 * tau] +
1.7496e-7 * cos[5.7266360862 + 4551.9534970588 * tau] +
2.0221e-7 * cos[0.51934047295 + 21535.9496445154 * tau] +
2.0425e-7 * cos[3.71509622702 + 20426.571092422 * tau] +
2.7295e-7 * cos[5.09210138837 + 234791.12827416777 * tau] +
2.2003e-7 * cos[0.86475371243 + 955.5997416086 * tau] +
2.8070e-7 * cos[3.04195430989 + 51066.427731055 * tau] +
4.4370e-7 * cos[4.57348500464 + 25028.521211385 * tau] +
5.1941e-7 * cos[5.62107554052 + 5661.3320491522 * tau] +
0.00000102743 * cos[2.14879173777 + 208703.22513259358 * tau] +
9.0579e-7 * cos[0.00045481669 + 24978.5245894808 * tau] +
9.3540e-7 * cos[6.11791163931 + 27197.2816936676 * tau] +
0.00000388318 * cos[5.48039225891 + 182615.32199101939 * tau] +
0.00000352244 * cos[3.05238094403 + 1109.3785520934 * tau] +
0.00001472233 * cos[2.51845458395 + 156527.41884944518 * tau] +
0.00005592094 * cos[5.82675673328 + 130439.51570787099 * tau] +
0.00021245035 * cos[2.83531934452 + 104351.61256629678 * tau] +
0.00080538452 * cos[6.10454743366 + 78263.70942472259 * tau] +
0.00303471395 * cos[3.05565472363 + 52175.8062831484 * tau] +
0.01126007832 * cos[6.21703970996 + 26087.9031415742 * tau] +
26088.14706222746 * cos[0.0 + 0.0 * tau];
L2 = 1e-11 * cos[5.52286605071 + 52125.80966124419 * tau] +
1e-11 * cos[3.26520760555 + 240452.46032331996 * tau] +
1e-11 * cos[5.5936222224 + 25619.9381512198 * tau] +
1e-11 * cos[1.59597814656 + 72936.23331633979 * tau] +
1e-11 * cos[4.15667461533 + 25551.09862947879 * tau] +
1e-11 * cos[0.33953378597 + 51528.79544983359 * tau] +
1e-11 * cos[0.08089899001 + 51543.0225438352 * tau] +
1e-11 * cos[4.25324476801 + 209812.60368468695 * tau] +
1e-11 * cos[0.54824728173 + 26137.8997634784 * tau] +
1e-11 * cos[0.28037611495 + 25450.90686955 * tau] +
1e-11 * cos[0.90991571866 + 103711.71527998279 * tau] +
1e-11 * cos[5.62459774786 + 25565.3257234804 * tau] +
1e-11 * cos[0.61014627166 + 25668.418497699 * tau] +
1e-11 * cos[5.09783503526 + 102232.84870591838 * tau] +
1e-11 * cos[2.19795772042 + 29428.515568274 * tau] +
1e-11 * cos[0.16055219324 + 105307.21230790539 * tau] +
1e-11 * cos[6.22940855233 + 111590.28815789679 * tau] +
1e-11 * cos[0.48535289275 + 52698.38370124219 * tau] +
1e-11 * cos[4.42116052212 + 100909.03762133139 * tau] +
1e-11 * cos[5.80015495751 + 19406.6782881746 * tau] +
1e-11 * cos[3.60230008239 + 20760.4270331914 * tau] +
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3.7e-10 * cos[5.01445357044 + 26080.78959457339 * tau] +
4.1e-10 * cos[2.81015791586 + 41962.5207369374 * tau] +
3.9e-10 * cos[6.2527517396 + 47623.8527860896 * tau] +
4.8e-10 * cos[0.4894487653 + 51646.11531805379 * tau] +
4.5e-10 * cos[2.52716095523 + 103292.23063610759 * tau] +
4.2e-10 * cos[2.21900478384 + 52179.6876185064 * tau] +
5.4e-10 * cos[0.32708522231 + 25874.6040461362 * tau] +
4.4e-10 * cos[4.971456138 + 25973.46385288896 * tau] +
4.6e-10 * cos[5.18676728087 + 77204.32749453338 * tau] +
5.3e-10 * cos[5.49113976101 + 25661.3049506982 * tau] +
4.8e-10 * cos[5.19507775798 + 48733.23133818299 * tau] +
4.8e-10 * cos[1.60851837486 + 25234.70675982219 * tau] +
5.2e-10 * cos[0.5368757688 + 77308.10968311399 * tau] +
5.2e-10 * cos[1.15062443564 + 26202.34243025941 * tau] +
5.2e-10 * cos[5.14041028675 + 52156.1365222486 * tau] +
5.3e-10 * cos[1.55958841442 + 49957.0491789616 * tau] +
5.6e-10 * cos[1.01839356017 + 27676.976036858 * tau] +
5.9e-10 * cos[0.1554109817 + 36301.18868778519 * tau] +
6.3e-10 * cos[2.49160532665 + 78793.40038981718 * tau] +
6.3e-10 * cos[5.02106928248 + 98690.28051714458 * tau] +
6.0e-10 * cos[0.79452201416 + 53131.406024757 * tau] +
6.9e-10 * cos[3.44813862795 + 10213.285546211 * tau] +
6.1e-10 * cos[5.77836694481 + 12566.1516999828 * tau] +
6.4e-10 * cos[2.75958867988 + 40853.142184844 * tau] +
6.7e-10 * cos[3.8921657878 + 26084.0218062162 * tau] +
6.4e-10 * cos[2.68437002997 + 43071.8992890308 * tau] +
6.3e-10 * cos[0.6582852544 + 110012.94461544899 * tau] +
7.8e-10 * cos[0.27707431029 + 37410.5672398786 * tau] +
7.0e-10 * cos[3.55533072657 + 13521.7514415914 * tau] +
8.5e-10 * cos[3.28561166885 + 12432.0426503978 * tau] +
8.1e-10 * cos[0.9588922979 + 26107.57290247399 * tau] +
8.6e-10 * cos[0.78555390902 + 57837.1383323006 * tau] +
7.4e-10 * cos[4.31017375756 + 2333.196392872 * tau] +
7.5e-10 * cos[5.40269356209 + 26091.7844769322 * tau] +
9.9e-10 * cos[1.00218248773 + 29530.4780865396 * tau] +
9.5e-10 * cos[2.24093904831 + 19317.1925403286 * tau] +
1.05e-9 * cos[5.32363189985 + 7238.6755916 * tau] +
8.5e-10 * cos[3.01984486981 + 53235.18821333759 * tau] +
9.4e-10 * cos[4.30968259383 + 129330.13715577759 * tau] +
9.2e-10 * cos[0.08628005998 + 313054.83769889036 * tau] +
9.3e-10 * cos[2.04998627084 + 26068.2333806744 * tau] +
9.9e-10 * cos[3.84242768306 + 83925.04147387479 * tau] +
9.9e-10 * cos[3.99635236807 + 56727.7597802072 * tau] +
1.15e-9 * cos[3.05230359467 + 53285.1848352418 * tau] +
1.13e-9 * cos[4.9813748525 + 79373.08797681599 * tau] +
1.15e-9 * cos[0.15124159675 + 26301.2022370122 * tau] +
1.08e-9 * cos[1.39723983534 + 50586.73338786459 * tau] +
1.40e-9 * cos[3.66642468738 + 25558.2121764796 * tau] +
1.35e-9 * cos[3.8677543707 + 51220.20654153979 * tau] +
1.29e-9 * cos[4.16213277137 + 23969.1392811958 * tau] +
1.45e-9 * cos[5.96024756685 + 14765.2390432698 * tau] +
1.48e-9 * cos[1.97575825359 + 72602.37737557039 * tau] +
1.61e-9 * cos[4.80105233203 + 23869.1460373874 * tau] +
1.53e-9 * cos[4.33936015634 + 1589.0728952838 * tau] +
1.60e-9 * cos[5.7937744941 + 52705.49724824299 * tau] +
1.56e-9 * cos[3.91999448441 + 32858.61374281979 * tau] +
1.68e-9 * cos[6.20806483822 + 27147.28507176339 * tau] +
2.19e-9 * cos[1.3418873834 + 28306.66024576099 * tau] +
1.82e-9 * cos[0.62534354989 + 25448.00585526019 * tau] +
1.97e-9 * cos[2.07792605062 + 22645.32819660879 * tau] +
2.09e-9 * cos[3.30158370895 + 213.299095438 * tau] +
2.73e-9 * cos[1.29086264556 + 103242.23401420339 * tau] +
2.34e-9 * cos[0.93917232374 + 30639.856638633 * tau] +
2.37e-9 * cos[4.37101224231 + 114.43928868521 * tau] +
3.11e-9 * cos[4.22422008005 + 3442.5749449654 * tau] +
2.47e-9 * cos[5.87612469398 + 16983.9961474566 * tau] +
3.03e-9 * cos[4.68482058244 + 27043.5028831828 * tau] +
3.27e-9 * cos[2.22989850002 + 21535.9496445154 * tau] +
3.32e-9 * cos[0.97416155325 + 25132.3033999656 * tau] +
3.07e-9 * cos[3.20507351217 + 1059.3819301892 * tau] +
3.14e-9 * cos[3.42002895816 + 286966.93455731616 * tau] +
3.12e-9 * cos[5.1878582963 + 46514.4742339962 * tau] +
3.70e-9 * cos[0.8236064656 + 6770.7106012456 * tau] +
3.81e-9 * cos[2.83442391504 + 26617.5941066688 * tau] +
4.39e-9 * cos[3.40705996719 + 11322.6640983044 * tau] +
6.08e-9 * cos[4.54152310086 + 2218.7571041868 * tau] +
5.07e-9 * cos[4.11466890786 + 4551.9534970588 * tau] +
5.52e-9 * cos[2.1322864657 + 20426.571092422 * tau] +
5.72e-9 * cos[5.92841937309 + 25028.521211385 * tau] +
6.54e-9 * cos[0.98170349539 + 5661.3320491522 * tau] +
7.63e-9 * cos[4.54299337366 + 77154.33087262919 * tau] +
6.28e-9 * cos[4.8493010532 + 24498.8302462904 * tau] +
6.28e-9 * cos[6.18483168149 + 529.6909650946 * tau] +
9.72e-9 * cos[1.80344701358 + 955.5997416086 * tau] +
1.064e-8 * cos[0.46023695675 + 260879.03141574195 * tau] +
2.045e-8 * cos[1.49570544876 + 51066.427731055 * tau] +
2.566e-8 * cos[1.44059109766 + 27197.2816936676 * tau] +
3.575e-8 * cos[3.77317513032 + 234791.12827416777 * tau] +
5.243e-8 * cos[4.71799772791 + 24978.5245894808 * tau] +
1.1861e-7 * cos[0.79187646439 + 208703.22513259358 * tau] +
1.4898e-7 * cos[4.6334308581 + 1109.3785520934 * tau] +
3.8663e-7 * cos[4.08011610182 + 182615.32199101939 * tau] +
0.00000122998 * cos[1.06868541052 + 156527.41884944518 * tau] +
0.00000378173 * cos[4.319980559 + 130439.51570787099 * tau] +
0.00001107419 * cos[1.26226537554 + 104351.61256629678 * tau] +
0.00003018297 * cos[4.45643539705 + 78263.70942472259 * tau] +
0.00007396711 * cos[1.34735624669 + 52175.8062831484 * tau] +
0.00016903658 * cos[4.69072300649 + 26087.9031415742 * tau] +
0.00053049845 * cos[0.0 + 0.0 * tau];
L3 = 1e-11 * cos[2.82906439989 + 24498.8302462904 * tau] +
1e-11 * cos[5.84438975852 + 105307.21230790539 * tau] +
1e-11 * cos[6.07111696987 + 102762.53967101299 * tau] +
1e-11 * cos[5.58694327783 + 79852.78232000639 * tau] +
1e-11 * cos[0.65529515413 + 426.598190876 * tau] +
1e-11 * cos[4.31760630574 + 69159.80243060499 * tau] +
1e-11 * cos[4.74388045372 + 26514.5013324502 * tau] +
1e-11 * cos[3.2207229087 + 25021.4076643842 * tau] +
1e-11 * cos[5.84491832575 + 50057.04242277 * tau] +
1e-11 * cos[4.77297529316 + 78477.00852016058 * tau] +
1e-11 * cos[1.72346523407 + 51962.5071877104 * tau] +
1e-11 * cos[2.73414310032 + 25035.6347583858 * tau] +
1e-11 * cos[0.300500653 + 41962.5207369374 * tau] +
1e-11 * cos[3.42109354799 + 25973.46385288896 * tau] +
1e-11 * cos[5.86280830053 + 26202.34243025941 * tau] +
1e-11 * cos[0.28595674172 + 11322.6640983044 * tau] +
1e-11 * cos[6.01128227925 + 52168.69273614759 * tau] +
1e-11 * cos[4.42501613287 + 22645.32819660879 * tau] +
1e-11 * cos[3.82330817663 + 68050.42387851159 * tau] +
1e-11 * cos[0.20736391933 + 52061.36699446317 * tau] +
1e-11 * cos[2.82170820105 + 26091.7844769322 * tau] +
1e-11 * cos[4.87760109673 + 25874.6040461362 * tau] +
1e-11 * cos[2.69537843932 + 52290.24557183361 * tau] +
1e-11 * cos[2.60061927559 + 12566.1516999828 * tau] +
1e-11 * cos[1.75551273491 + 26095.016688575 * tau] +
1e-11 * cos[1.49815422727 + 26084.0218062162 * tau] +
1e-11 * cos[3.67054321453 + 21535.9496445154 * tau] +
1e-11 * cos[2.18342825402 + 63498.47038145279 * tau] +
1e-11 * cos[0.15288602386 + 25448.00585526019 * tau] +
1e-11 * cos[5.48361013686 + 29530.4780865396 * tau] +
1e-11 * cos[6.07747011982 + 27676.976036858 * tau] +
1e-11 * cos[4.89918476796 + 35191.8101356918 * tau] +
1e-11 * cos[5.60495524983 + 207593.84658050018 * tau] +
1e-11 * cos[4.03088051207 + 1109.3785520934 * tau] +
1e-11 * cos[2.43374991272 + 51535.90899683439 * tau] +
1e-11 * cos[4.27546069271 + 36301.18868778519 * tau] +
1e-11 * cos[4.81981872221 + 26107.57290247399 * tau] +
1e-11 * cos[5.95645110567 + 80482.46652890938 * tau] +
1e-11 * cos[5.22010441376 + 52171.9249477904 * tau] +
1e-11 * cos[6.16145880062 + 125887.56221081219 * tau] +
1e-11 * cos[4.58189329524 + 37410.5672398786 * tau] +
1e-11 * cos[6.10639166059 + 102132.85546210999 * tau] +
1e-11 * cos[4.29717383023 + 26301.2022370122 * tau] +
1e-11 * cos[3.39284109553 + 25028.521211385 * tau] +
1e-11 * cos[2.29683748973 + 52195.47604404819 * tau] +
1e-11 * cos[2.41309932759 + 55618.3812281138 * tau] +
1e-11 * cos[0.94125502564 + 93028.94846799239 * tau] +
1e-11 * cos[1.78547815249 + 188276.65404017158 * tau] +
1e-11 * cos[1.24063083423 + 9103.9069941176 * tau] +
1e-11 * cos[0.18542211423 + 78244.0396638228 * tau] +
1e-11 * cos[2.11138180302 + 32858.61374281979 * tau] +
1e-11 * cos[3.90367213586 + 129380.13377768178 * tau] +
1e-11 * cos[0.68687557696 + 130969.20667296558 * tau] +
1e-11 * cos[1.58007357234 + 391318.54712361297 * tau] +
1e-11 * cos[0.606476206 + 38654.05484155699 * tau] +
1e-11 * cos[0.05873279909 + 53131.406024757 * tau] +
1e-11 * cos[5.03155341199 + 51646.11531805379 * tau] +
1e-11 * cos[2.88161012078 + 79219.30916633119 * tau] +
1e-11 * cos[4.20864838814 + 131498.89763806018 * tau] +
1e-11 * cos[1.4751416667 + 62389.09182935939 * tau] +
1e-11 * cos[0.08902944955 + 51116.4243529592 * tau] +
1e-11 * cos[0.38352295948 + 52179.6876185064 * tau] +
2e-11 * cos[5.53036712466 + 131548.89425996438 * tau] +
1e-11 * cos[5.52119023864 + 58946.51688439399 * tau] +
1e-11 * cos[3.0953209452 + 76044.9523205358 * tau] +
2e-11 * cos[4.00710217385 + 104881.30353139139 * tau] +
2e-11 * cos[3.64576833526 + 45405.0956819028 * tau] +
1e-11 * cos[1.20843095195 + 105410.99449648599 * tau] +
1e-11 * cos[2.48052961456 + 53764.8791784322 * tau] +
1e-11 * cos[1.538031696 + 52389.1053785864 * tau] +
1e-11 * cos[3.17481245588 + 76674.63652943878 * tau] +
1e-11 * cos[4.9590938512 + 129483.91596626239 * tau] +
1e-11 * cos[5.80853057947 + 4551.9534970588 * tau] +
2e-11 * cos[5.4069790667 + 82815.66292178139 * tau] +
2e-11 * cos[3.36867866204 + 99799.65906923798 * tau] +
2e-11 * cos[5.33834891475 + 52182.9198301492 * tau] +
1e-11 * cos[3.23979322492 + 52156.1365222486 * tau] +
2e-11 * cos[1.07684180123 + 103292.23063610759 * tau] +
2e-11 * cos[1.25444219651 + 40853.142184844 * tau] +
2e-11 * cos[5.54343111585 + 81706.28436968799 * tau] +
2e-11 * cos[1.97520131105 + 136100.84775702319 * tau] +
2e-11 * cos[5.43336870762 + 78283.37918562238 * tau] +
2e-11 * cos[4.12698349577 + 66941.04532641819 * tau] +
2e-11 * cos[2.05793854229 + 103396.01282468818 * tau] +
2e-11 * cos[0.5273609502 + 94138.32702008578 * tau] +
2e-11 * cos[5.26875308161 + 77308.10968311399 * tau] +
2e-11 * cos[0.61066658116 + 155468.03691925599 * tau] +
2e-11 * cos[4.76774165204 + 77204.32749453338 * tau] +
2e-11 * cos[1.96277160647 + 25558.2121764796 * tau] +
2e-11 * cos[1.49912329404 + 43071.8992890308 * tau] +
2e-11 * cos[4.39439085682 + 88476.99497093359 * tau] +
2e-11 * cos[1.0209874609 + 78793.40038981718 * tau] +
2e-11 * cos[3.11800510932 + 150866.08680029298 * tau] +
2e-11 * cos[1.60502923885 + 77734.01845962799 * tau] +
2e-11 * cos[3.54043808451 + 64741.95798313119 * tau] +
2e-11 * cos[4.77873510695 + 365230.64398203876 * tau] +
2e-11 * cos[3.43613336205 + 78267.59076008058 * tau] +
2e-11 * cos[2.40411188609 + 83925.04147387479 * tau] +
2e-11 * cos[2.92723030315 + 54394.56338733519 * tau] +
2e-11 * cos[2.17198531948 + 108903.56606335558 * tau] +
2e-11 * cos[6.11262694468 + 57837.1383323006 * tau] +
2e-11 * cos[0.42411179784 + 71492.99882347698 * tau] +
2e-11 * cos[2.29024350361 + 56727.7597802072 * tau] +
2e-11 * cos[0.15071040297 + 124778.18365871879 * tau] +
2e-11 * cos[5.05358903232 + 162188.75089859738 * tau] +
2e-11 * cos[2.52219274566 + 181505.94343892598 * tau] +
2e-11 * cos[6.2327164965 + 49957.0491789616 * tau] +
2e-11 * cos[0.35038889636 + 19317.1925403286 * tau] +
2e-11 * cos[0.16040583556 + 50586.73338786459 * tau] +
2e-11 * cos[5.37466119262 + 110012.94461544899 * tau] +
3e-11 * cos[3.37815322354 + 98690.28051714458 * tau] +
3e-11 * cos[6.23875368963 + 28306.66024576099 * tau] +
3e-11 * cos[2.86652251194 + 105460.99111839019 * tau] +
3e-11 * cos[4.34017676059 + 14765.2390432698 * tau] +
3e-11 * cos[1.29040630287 + 53235.18821333759 * tau] +
3e-11 * cos[4.35199345075 + 79323.09135491178 * tau] +
4e-11 * cos[3.02893592955 + 23869.1460373874 * tau] +
3e-11 * cos[4.6451908806 + 27147.28507176339 * tau] +
3e-11 * cos[5.80662640937 + 155418.04029735178 * tau] +
4e-11 * cos[5.6801370125 + 30639.856638633 * tau] +
4e-11 * cos[3.07093349506 + 27043.5028831828 * tau] +
4e-11 * cos[4.31141963105 + 52705.49724824299 * tau] +
4e-11 * cos[1.74528964721 + 339142.74084046457 * tau] +
4e-11 * cos[2.46414914425 + 51220.20654153979 * tau] +
5e-11 * cos[1.3111581035 + 26617.5941066688 * tau] +
5e-11 * cos[0.33554769835 + 72602.37737557039 * tau] +
7e-11 * cos[5.79018632644 + 25132.3033999656 * tau] +
8e-11 * cos[2.74138109305 + 129330.13715577759 * tau] +
9e-11 * cos[6.28305510644 + 79373.08797681599 * tau] +
9e-11 * cos[3.65190477342 + 46514.4742339962 * tau] +
9e-11 * cos[0.59396483404 + 20426.571092422 * tau] +
1.1e-10 * cos[5.00109293882 + 313054.83769889036 * tau] +
1.7e-10 * cos[6.02950226714 + 103242.23401420339 * tau] +
3.1e-10 * cos[3.11483471984 + 53285.1848352418 * tau] +
3.8e-10 * cos[2.99912912226 + 77154.33087262919 * tau] +
3.4e-10 * cos[2.03244612467 + 286966.93455731616 * tau] +
5.7e-10 * cos[6.11222330831 + 27197.2816936676 * tau] +
7.7e-10 * cos[6.24155593431 + 51066.427731055 * tau] +
1.02e-9 * cos[5.32134064237 + 260879.03141574195 * tau] +
1.17e-9 * cos[3.1656732416 + 24978.5245894808 * tau] +
3.07e-9 * cos[2.32189002493 + 234791.12827416777 * tau] +
9.00e-9 * cos[5.59308888939 + 208703.22513259358 * tau] +
2.556e-8 * cos[2.57014364454 + 182615.32199101939 * tau] +
6.971e-8 * cos[5.81808665742 + 156527.41884944518 * tau] +
1.8045e-7 * cos[2.77538373991 + 130439.51570787099 * tau] +
3.5395e-7 * cos[0.0 + 0.0 * tau] +
4.3669e-7 * cos[6.01867965826 + 104351.61256629678 * tau] +
9.6877e-7 * cos[3.00378171915 + 78263.70942472259 * tau] +
0.00000142152 * cos[3.125054526 + 26087.9031415742 * tau] +
0.00000188077 * cos[0.03466830117 + 52175.8062831484 * tau];
L4 = 1e-11 * cos[0.29913093643 + 339142.74084046457 * tau] +
1e-11 * cos[4.8467708474 + 27197.2816936676 * tau] +
1e-11 * cos[1.20388630609 + 77154.33087262919 * tau] +
1e-11 * cos[4.17434865844 + 79373.08797681599 * tau] +
1e-11 * cos[4.35040700322 + 103242.23401420339 * tau] +
1e-11 * cos[1.11396201203 + 129330.13715577759 * tau] +
2e-11 * cos[4.60718203612 + 51066.427731055 * tau] +
1e-11 * cos[1.6743511854 + 24978.5245894808 * tau] +
2e-11 * cos[3.52134138964 + 313054.83769889036 * tau] +
3e-11 * cos[0.54824060574 + 286966.93455731616 * tau] +
8e-11 * cos[3.82199615635 + 260879.03141574195 * tau] +
2.0e-10 * cos[0.82130394681 + 234791.12827416777 * tau] +
5.1e-10 * cos[4.08566191934 + 208703.22513259358 * tau] +
1.28e-9 * cos[1.05702505039 + 182615.32199101939 * tau] +
2.98e-9 * cos[4.30600984981 + 156527.41884944518 * tau] +
6.45e-9 * cos[1.26591776986 + 130439.51570787099 * tau] +
1.237e-8 * cos[4.49970181057 + 104351.61256629678 * tau] +
1.727e-8 * cos[4.50137643801 + 52175.8062831484 * tau] +
1.914e-8 * cos[1.41731803758 + 78263.70942472259 * tau] +
3.247e-8 * cos[2.02848007619 + 26087.9031415742 * tau] +
0.00000114078 * cos[3.14159265359 + 0.0 * tau];
L5 = 1e-11 * cos[5.18718589133 + 286966.93455731616 * tau] +
1e-11 * cos[2.23688504668 + 260879.03141574195 * tau] +
1e-11 * cos[5.49411470932 + 234791.12827416777 * tau] +
2e-11 * cos[2.5143544823 + 208703.22513259358 * tau] +
5e-11 * cos[5.79082359724 + 182615.32199101939 * tau] +
1.0e-10 * cos[2.7569979192 + 156527.41884944518 * tau] +
1.9e-10 * cos[6.00992467582 + 130439.51570787099 * tau] +
3.1e-10 * cos[2.98112204944 + 104351.61256629678 * tau] +
4.3e-10 * cos[4.65071406046 + 26087.9031415742 * tau] +
4.2e-10 * cos[0.02433099382 + 78263.70942472259 * tau] +
5.9e-10 * cos[3.37513289692 + 52175.8062831484 * tau] +
8.77e-9 * cos[3.14159265359 + 0.0 * tau];
B0 = 4e-11 * cos[2.34997151211 + 177287.84588263658 * tau] +
4e-11 * cos[1.34781477964 + 106684.80895916879 * tau] +
4e-11 * cos[4.64327471216 + 76255.15188556358 * tau] +
4e-11 * cos[5.13202982684 + 735.8765135318 * tau] +
4e-11 * cos[4.1268797505 + 52024.75861330549 * tau] +
4e-11 * cos[5.62786746084 + 43981.5309499398 * tau] +
4e-11 * cos[4.79032272131 + 130432.88714897096 * tau] +
4e-11 * cos[3.50115780256 + 76152.05911134499 * tau] +
4e-11 * cos[1.28513103275 + 112545.88789950538 * tau] +
4e-11 * cos[1.64237114391 + 130446.14426677099 * tau] +
5e-11 * cos[5.22593130125 + 51329.7234483972 * tau] +
4e-11 * cos[5.4485951193 + 129971.55071751658 * tau] +
4e-11 * cos[3.77703754152 + 104501.17576343138 * tau] +
5e-11 * cos[1.16733741695 + 27566.76971563859 * tau] +
4e-11 * cos[4.51168915835 + 77956.15180375299 * tau] +
4e-11 * cos[4.93794243881 + 63786.3582415226 * tau] +
5e-11 * cos[0.30725353996 + 207747.62539098498 * tau] +
4e-11 * cos[0.26524339921 + 50007.0458008658 * tau] +
4e-11 * cos[5.12416312887 + 52027.72755872209 * tau] +
5e-11 * cos[1.01847704961 + 52309.9153327334 * tau] +
4e-11 * cos[2.62000942355 + 50049.92887576919 * tau] +
4e-11 * cos[0.47379105299 + 105403.88094948517 * tau] +
4e-11 * cos[4.83867556795 + 52755.49387014719 * tau] +
4e-11 * cos[2.32553366031 + 53265.515074342 * tau] +
6e-11 * cos[4.81632935419 + 77741.13200662879 * tau] +
4e-11 * cos[4.57601261459 + 184834.07909520617 * tau] +
4e-11 * cos[6.20030341798 + 209762.60706278277 * tau] +
5e-11 * cos[0.99354989216 + 1795.258443721 * tau] +
5e-11 * cos[3.1863383495 + 181975.42470470538 * tau] +
4e-11 * cos[5.91763059229 + 52041.69723356339 * tau] +
5e-11 * cos[4.1991766574 + 129586.31932611899 * tau] +
4e-11 * cos[0.51280078907 + 54344.56676543099 * tau] +
4e-11 * cos[3.99859010561 + 104401.60918820098 * tau] +
6e-11 * cos[6.10947724529 + 104248.51979207818 * tau] +
4e-11 * cos[2.67910077904 + 107692.22499299659 * tau] +
4e-11 * cos[0.56386565513 + 189386.03259226495 * tau] +
5e-11 * cos[3.7269181897 + 128747.35003836859 * tau] +
6e-11 * cos[4.34778590755 + 156534.53239644598 * tau] +
5e-11 * cos[4.55586232099 + 52137.67324751059 * tau] +
5e-11 * cos[1.56485117164 + 53399.624123927 * tau] +
5e-11 * cos[0.95484155225 + 130907.48069822539 * tau] +
5e-11 * cos[0.07896316759 + 78057.52387628538 * tau] +
5e-11 * cos[2.29075654159 + 61560.64729122359 * tau] +
5e-11 * cos[4.43939776623 + 51534.3927214094 * tau] +
5e-11 * cos[1.35734487293 + 53814.87580033639 * tau] +
7e-11 * cos[6.03933985106 + 1485.9801210652 * tau] +
6e-11 * cos[0.45316437598 + 50064.15596977079 * tau] +
7e-11 * cos[3.0124494408 + 50264.6067999312 * tau] +
5e-11 * cos[2.50588363651 + 102872.74599223239 * tau] +
6e-11 * cos[1.01394190869 + 77940.20400806518 * tau] +
5e-11 * cos[3.98232048303 + 53771.99272543299 * tau] +
5e-11 * cos[3.69945557546 + 39450.3528483734 * tau] +
5e-11 * cos[3.51602263966 + 102975.83876645098 * tau] +
6e-11 * cos[4.55015130253 + 51955.39364070959 * tau] +
7e-11 * cos[5.71513815276 + 70383.6202713836 * tau] +
5e-11 * cos[3.70948655428 + 266540.36346489414 * tau] +
5e-11 * cos[2.48117306579 + 9384.8410080752 * tau] +
7e-11 * cos[1.31888655444 + 149846.19399604558 * tau] +
5e-11 * cos[1.01687539089 + 55638.05098901359 * tau] +
5e-11 * cos[1.58914721681 + 50167.24874398939 * tau] +
6e-11 * cos[2.68409858369 + 130005.80396999417 * tau] +
5e-11 * cos[2.16759656006 + 104241.40624507738 * tau] +
5e-11 * cos[2.17501494391 + 209232.91609768818 * tau] +
7e-11 * cos[3.1354731214 + 155460.92337225519 * tau] +
6e-11 * cos[0.06817978613 + 53757.76563143139 * tau] +
6e-11 * cos[2.52761413373 + 52817.21984488739 * tau] +
6e-11 * cos[5.39808870469 + 130020.03106399579 * tau] +
6e-11 * cos[0.92172283144 + 57503.2823915312 * tau] +
7e-11 * cos[0.26927581545 + 127098.90328117118 * tau] +
7e-11 * cos[4.6219355895 + 81591.84508100279 * tau] +
7e-11 * cos[1.38238075345 + 106470.37642667518 * tau] +
6e-11 * cos[5.66286619587 + 234261.43730907318 * tau] +
6e-11 * cos[2.40727316051 + 78800.51393681798 * tau] +
6e-11 * cos[4.82671721903 + 154308.66174525839 * tau] +
6e-11 * cos[2.68512587119 + 77520.71936418998 * tau] +
7e-11 * cos[1.6199048214 + 103189.13786188899 * tau] +
7e-11 * cos[0.86158158633 + 50444.6839302158 * tau] +
6e-11 * cos[2.00091220299 + 102018.41617342478 * tau] +
7e-11 * cos[2.65171386195 + 220.4126424388 * tau] +
6e-11 * cos[2.57622376266 + 224577.84272795678 * tau] +
8e-11 * cos[5.56250511075 + 52509.6622239178 * tau] +
7e-11 * cos[0.09315209734 + 220025.88923089796 * tau] +
6e-11 * cos[3.05937939252 + 151.0476698429 * tau] +
6e-11 * cos[2.12110075547 + 148.0787244263 * tau] +
7e-11 * cos[4.82261895829 + 52286.01260436779 * tau] +
7e-11 * cos[2.68832841048 + 156377.85565231058 * tau] +
7e-11 * cos[6.12812258419 + 53867.97195265079 * tau] +
7e-11 * cos[1.18920934641 + 104984.39630560997 * tau] +
6e-11 * cos[3.16647388859 + 76041.85279012559 * tau] +
8e-11 * cos[1.99164711035 + 84944.93427812219 * tau] +
8e-11 * cos[0.34397341638 + 78339.97549599818 * tau] +
7e-11 * cos[0.94700216301 + 202420.14928260217 * tau] +
8e-11 * cos[0.66187102958 + 156740.71794488319 * tau] +
7e-11 * cos[6.04142381509 + 155475.15046625677 * tau] +
7e-11 * cos[0.91100826202 + 27972.80430499159 * tau] +
7e-11 * cos[1.96795602434 + 103395.32341032618 * tau] +
7e-11 * cos[2.28027029168 + 54374.8936264354 * tau] +
7e-11 * cos[1.45586274187 + 51841.950342379 * tau] +
8e-11 * cos[2.25202792521 + 149756.70824819959 * tau] +
7e-11 * cos[0.52800551865 + 103814.80805420138 * tau] +
7e-11 * cos[0.70724943755 + 65717.22748563958 * tau] +
7e-11 * cos[1.15333561308 + 261988.40996783535 * tau] +
8e-11 * cos[5.67030179581 + 53029.0026649004 * tau] +
7e-11 * cos[0.08448723866 + 26098.9488418381 * tau] +
8e-11 * cos[0.98956493578 + 16703.062133499 * tau] +
7e-11 * cos[6.26371276121 + 52174.32181044009 * tau] +
8e-11 * cos[0.19880797043 + 1.4844727083 * tau] +
8e-11 * cos[5.26981396126 + 48847.6706268682 * tau] +
7e-11 * cos[5.1707974073 + 179172.74704605396 * tau] +
7e-11 * cos[5.1631579803 + 26189.8656598398 * tau] +
1.0e-10 * cos[2.72173324175 + 104276.83096772949 * tau] +
9e-11 * cos[1.96929942879 + 1272.6810256272 * tau] +
7e-11 * cos[0.70585294359 + 52177.29075585669 * tau] +
8e-11 * cos[5.86653927002 + 104454.70534051539 * tau] +
7e-11 * cos[0.44088896603 + 104127.26777059489 * tau] +
7e-11 * cos[0.73212945216 + 78469.89497315978 * tau] +
7e-11 * cos[0.56541937862 + 25985.94062330859 * tau] +
7e-11 * cos[0.09500184933 + 90989.16285949759 * tau] +
8e-11 * cos[2.05860519043 + 78149.27013603736 * tau] +
7e-11 * cos[0.61161547244 + 158116.49174472898 * tau] +
7e-11 * cos[5.887681462 + 51226.63067417859 * tau] +
9e-11 * cos[6.2187869044 + 189853.99758261938 * tau] +
8e-11 * cos[1.77719128692 + 26076.8574413103 * tau] +
8e-11 * cos[0.21724719953 + 13541.42120249119 * tau] +
8e-11 * cos[0.20349823136 + 113455.51956041438 * tau] +
8e-11 * cos[3.46882638388 + 77616.69859140778 * tau] +
8e-11 * cos[3.95681232703 + 120417.67842777158 * tau] +
8e-11 * cos[0.59154768044 + 156954.01704032118 * tau] +
8e-11 * cos[2.63272452796 + 25138.7275326044 * tau] +
9e-11 * cos[5.02352759781 + 229129.79622501558 * tau] +
8e-11 * cos[0.63159267832 + 80174.90890793978 * tau] +
9e-11 * cos[0.76033087382 + 156523.53751408719 * tau] +
9e-11 * cos[5.87197255624 + 199599.31813847595 * tau] +
9e-11 * cos[6.25489842872 + 91919.56991589899 * tau] +
1.1e-10 * cos[0.80389582741 + 3328.13565628019 * tau] +
9e-11 * cos[4.73154570336 + 78378.14871340781 * tau] +
9e-11 * cos[5.91954900221 + 62197.64356324779 * tau] +
9e-11 * cos[2.73233240797 + 38.1330356378 * tau] +
9e-11 * cos[4.79150958411 + 101703.15774082378 * tau] +
9e-11 * cos[5.47085206361 + 156531.30018480319 * tau] +
1.1e-10 * cos[3.36985744471 + 142871.55835826878 * tau] +
9e-11 * cos[6.25551575071 + 53906.92863608099 * tau] +
9e-11 * cos[5.64920582852 + 1265.5674786264 * tau] +
9e-11 * cos[5.24611723729 + 138319.60486120995 * tau] +
1.2e-10 * cos[0.18308102701 + 130593.29451835579 * tau] +
1.1e-10 * cos[1.47224457688 + 156520.30530244438 * tau] +
1.1e-10 * cos[2.89478268807 + 122444.98726584678 * tau] +
1.1e-10 * cos[2.08623018213 + 78683.19406859778 * tau] +
1.3e-10 * cos[3.60703035316 + 39629.32434406539 * tau] +
1.1e-10 * cos[6.23138757669 + 130285.73689738619 * tau] +
1.0e-10 * cos[6.23763004539 + 128106.31931499895 * tau] +
1.3e-10 * cos[0.25119201649 + 79330.20490191258 * tau] +
1.0e-10 * cos[3.71565881071 + 148532.89040742096 * tau] +
1.1e-10 * cos[0.03362968403 + 104991.50985261079 * tau] +
1.0e-10 * cos[5.5776490348 + 151199.94274106238 * tau] +
1.1e-10 * cos[0.28816338163 + 26057.57628056979 * tau] +
1.0e-10 * cos[4.70344741563 + 2125.8774073792 * tau] +
1.0e-10 * cos[5.45367935399 + 52483.36390411799 * tau] +
1.3e-10 * cos[5.83092856998 + 26411.4085582316 * tau] +
1.1e-10 * cos[0.63918585951 + 26118.2300025786 * tau] +
1.1e-10 * cos[4.37474459591 + 103718.82882698359 * tau] +
1.3e-10 * cos[5.70684493376 + 78213.71280281838 * tau] +
1.0e-10 * cos[0.458570525 + 222224.97657418498 * tau] +
1.0e-10 * cos[3.29404880642 + 192828.60753723037 * tau] +
1.1e-10 * cos[0.45608202666 + 2111.6503133776 * tau] +
1.1e-10 * cos[5.59141622457 + 24203.0019781568 * tau] +
1.1e-10 * cos[2.73596940194 + 171292.65789271498 * tau] +
1.1e-10 * cos[5.17906120193 + 162810.49469943657 * tau] +
1.3e-10 * cos[0.71980668578 + 78413.27262185719 * tau] +
1.4e-10 * cos[2.00354520885 + 846.0828347512 * tau] +
1.1e-10 * cos[2.45779334771 + 34082.4315835984 * tau] +
1.1e-10 * cos[1.64586759073 + 25773.71696170459 * tau] +
1.1e-10 * cos[5.15388067065 + 77947.31755506598 * tau] +
1.2e-10 * cos[1.48301102812 + 78580.10129437919 * tau] +
1.2e-10 * cos[5.56466695759 + 26402.0893214438 * tau] +
1.4e-10 * cos[5.69923121834 + 76784.84285065818 * tau] +
1.2e-10 * cos[0.49737747696 + 102769.65321801379 * tau] +
1.1e-10 * cos[2.40607503106 + 169093.57054942798 * tau] +
1.1e-10 * cos[5.82734448081 + 259819.64948555276 * tau] +
1.2e-10 * cos[2.80411772823 + 102755.42612401219 * tau] +
1.4e-10 * cos[4.1512708228 + 29550.14784743939 * tau] +
1.2e-10 * cos[0.19322533903 + 27463.67694142 * tau] +
1.2e-10 * cos[4.38117483432 + 27005.83342755599 * tau] +
1.2e-10 * cos[2.69822851627 + 153.7788104848 * tau] +
1.2e-10 * cos[3.12295185577 + 149288.74325784518 * tau] +
1.4e-10 * cos[4.16918945992 + 156547.08861034496 * tau] +
1.3e-10 * cos[3.68794178346 + 79315.97780791098 * tau] +
1.3e-10 * cos[4.55769261775 + 80596.9058175946 * tau] +
1.2e-10 * cos[3.72935261349 + 78786.28684281638 * tau] +
1.3e-10 * cos[0.99900287294 + 78338.49102328988 * tau] +
1.4e-10 * cos[3.36717179008 + 12546.481939083 * tau] +
1.6e-10 * cos[3.55004561005 + 86457.98475793119 * tau] +
1.3e-10 * cos[2.83441937048 + 25169.9728555924 * tau] +
1.3e-10 * cos[4.02426203972 + 417406.45026518717 * tau] +
1.5e-10 * cos[5.32485053265 + 154408.65498906678 * tau] +
1.7e-10 * cos[4.64614224273 + 112231.70171963578 * tau] +
1.3e-10 * cos[1.15273910706 + 949.1756089698 * tau] +
1.5e-10 * cos[5.4142973337 + 208276.62694171758 * tau] +
1.3e-10 * cos[3.77228393975 + 19.66976089979 * tau] +
1.5e-10 * cos[4.87081069542 + 104358.2411251968 * tau] +
1.7e-10 * cos[6.07989986315 + 49953.94964855139 * tau] +
1.4e-10 * cos[1.55161726953 + 156314.11975400719 * tau] +
1.4e-10 * cos[5.57651447296 + 2008.557539159 * tau] +
1.3e-10 * cos[1.02936352404 + 25867.49049913539 * tau] +
1.7e-10 * cos[4.2862866237 + 133882.09065283638 * tau] +
1.7e-10 * cos[1.61686538851 + 26198.1094627936 * tau] +
1.5e-10 * cos[4.52292533775 + 27726.9726587622 * tau] +
1.7e-10 * cos[2.79674558169 + 323.5054166574 * tau] +
1.6e-10 * cos[5.63829774136 + 209658.82487420218 * tau] +
1.4e-10 * cos[3.81333935444 + 28256.66362385679 * tau] +
1.4e-10 * cos[0.41333257896 + 76887.93562487679 * tau] +
1.6e-10 * cos[3.05516572588 + 22625.658435709 * tau] +
1.4e-10 * cos[4.00033644851 + 187167.27548807819 * tau] +
1.4e-10 * cos[2.0191587364 + 156507.74908854539 * tau] +
1.4e-10 * cos[0.57479381854 + 8194.2753332086 * tau] +
1.7e-10 * cos[5.6237861587 + 51432.81622261579 * tau] +
1.5e-10 * cos[2.41952075336 + 27250.37784598199 * tau] +
1.4e-10 * cos[5.86393829627 + 81604.32185142238 * tau] +
1.4e-10 * cos[1.89621592736 + 37698.4550999484 * tau] +
1.9e-10 * cos[6.27226219255 + 25764.39772491679 * tau] +
1.4e-10 * cos[2.39782698608 + 103883.64757594238 * tau] +
1.6e-10 * cos[1.77854347809 + 26667.590728573 * tau] +
1.6e-10 * cos[1.77081422797 + 27044.1922975448 * tau] +
1.4e-10 * cos[1.03341872997 + 78313.70604662679 * tau] +
1.5e-10 * cos[4.39941321864 + 25466.159340735 * tau] +
1.5e-10 * cos[1.16646378812 + 92741.06060792258 * tau] +
1.5e-10 * cos[6.19247438386 + 130363.24963659538 * tau] +
1.6e-10 * cos[1.13565154505 + 742.9900605326 * tau] +
1.6e-10 * cos[5.31828785394 + 78153.50310350319 * tau] +
1.5e-10 * cos[1.72732606714 + 104344.98400739678 * tau] +
1.5e-10 * cos[2.75565944373 + 26709.6469424134 * tau] +
1.6e-10 * cos[5.54159968247 + 207114.15223730978 * tau] +
1.7e-10 * cos[3.27645001526 + 26312.2479372761 * tau] +
2.0e-10 * cos[3.19274792861 + 51969.62073471119 * tau] +
1.6e-10 * cos[1.11236515889 + 103498.41618454478 * tau] +
1.9e-10 * cos[1.29524947399 + 233681.74972207438 * tau] +
2.1e-10 * cos[3.53223071778 + 181659.72224941078 * tau] +
1.5e-10 * cos[3.36667960581 + 1911.1994832172 * tau] +
1.6e-10 * cos[5.52244950928 + 2199.087343287 * tau] +
1.7e-10 * cos[2.59947793429 + 24448.8336243862 * tau] +
1.9e-10 * cos[5.09029341511 + 118828.96374949679 * tau] +
1.6e-10 * cos[5.7418031822 + 96357.08412427259 * tau] +
1.7e-10 * cos[3.93009669878 + 51852.30086649099 * tau] +
1.6e-10 * cos[0.52102795891 + 2221.856634597 * tau] +
1.6e-10 * cos[0.6272245515 + 102659.44689679438 * tau] +
1.8e-10 * cos[5.44524309894 + 25508.2155545754 * tau] +
2.0e-10 * cos[0.07187923898 + 155887.52156313117 * tau] +
1.6e-10 * cos[1.27839838984 + 51868.2486621788 * tau] +
2.0e-10 * cos[0.96632907921 + 52609.51802102519 * tau] +
1.8e-10 * cos[0.8199762803 + 26073.67604757259 * tau] +
1.7e-10 * cos[0.84289136609 + 86143.79857806159 * tau] +
1.7e-10 * cos[3.34823797519 + 23919.1426592916 * tau] +
2.2e-10 * cos[3.45569006244 + 101011.00013959699 * tau] +
1.9e-10 * cos[1.61447515906 + 51653.22886505459 * tau] +
1.8e-10 * cos[5.11985094325 + 77307.42026875199 * tau] +
1.9e-10 * cos[3.72825596269 + 31415.379249957 * tau] +
1.9e-10 * cos[4.18613339997 + 104819.57755665119 * tau] +
1.8e-10 * cos[4.77075669731 + 77101.23472031478 * tau] +
1.8e-10 * cos[5.26103373994 + 28736.3579670472 * tau] +
1.9e-10 * cos[2.26298959398 + 103932.12792242158 * tau] +
2.0e-10 * cos[5.58951443277 + 27177.6119327678 * tau] +
1.8e-10 * cos[3.70453311537 + 77726.90491262719 * tau] +
2.3e-10 * cos[1.73809221823 + 128220.75860368418 * tau] +
1.9e-10 * cos[5.07516493363 + 230239.17477710896 * tau] +
1.9e-10 * cos[5.86487152937 + 103917.90082841998 * tau] +
1.9e-10 * cos[2.59809360557 + 17893.6278083656 * tau] +
1.9e-10 * cos[3.62491058376 + 78039.36462902068 * tau] +
1.9e-10 * cos[1.95606380894 + 25344.9130810416 * tau] +
2.2e-10 * cos[1.54435105177 + 158746.17595363196 * tau] +
2.2e-10 * cos[0.14164137879 + 51528.79544983359 * tau] +
2.1e-10 * cos[2.85719729554 + 78160.61665050399 * tau] +
2.8e-10 * cos[2.65124448902 + 78366.80219894118 * tau] +
2.0e-10 * cos[1.45970914613 + 75615.25459924959 * tau] +
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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 * tau] +
1.7e-10 * cos[4.72356636284 + 39743.7636327506 * tau] +
1.7e-10 * cos[3.65797302958 + 25938.3399444396 * tau] +
2.0e-10 * cos[1.91605933726 + 53242.3017603384 * tau] +
2.2e-10 * cos[2.36457126914 + 143961.26714946238 * tau] +
1.8e-10 * cos[3.66945372389 + 176953.98994186718 * tau] +
2.0e-10 * cos[4.54362105039 + 26037.90651966999 * tau] +
2.0e-10 * cos[2.19515561332 + 51639.00177105299 * tau] +
1.8e-10 * cos[4.83011056299 + 50593.84693486539 * tau] +
2.0e-10 * cos[5.32443861216 + 25234.70675982219 * tau] +
2.0e-10 * cos[0.67974525638 + 24505.94379329119 * tau] +
2.3e-10 * cos[2.29934592297 + 33967.99229491319 * tau] +
2.5e-10 * cos[4.46628547605 + 146314.13330323418 * tau] +
2.0e-10 * cos[1.17802900406 + 155997.72788435058 * tau] +
2.1e-10 * cos[1.47540794459 + 115674.27666460119 * tau] +
1.9e-10 * cos[3.37799607043 + 45494.58142974879 * tau] +
2.0e-10 * cos[5.09828683951 + 52099.5402118728 * tau] +
2.7e-10 * cos[2.35592427305 + 78690.30761559859 * tau] +
2.0e-10 * cos[2.51210823023 + 104347.73123093879 * tau] +
2.1e-10 * cos[3.93681460045 + 25455.119402261 * tau] +
2.1e-10 * cos[0.91705070968 + 97580.90196505119 * tau] +
2.3e-10 * cos[3.52400873624 + 100909.03762133139 * tau] +
2.1e-10 * cos[5.21045664362 + 104564.91166173479 * tau] +
2.5e-10 * cos[3.67349275753 + 853.196381752 * tau] +
2.2e-10 * cos[1.51276188597 + 35191.8101356918 * tau] +
2.1e-10 * cos[4.45887879737 + 52815.7035694624 * tau] +
2.2e-10 * cos[5.93080138405 + 98068.53671630539 * tau] +
2.2e-10 * cos[4.4754796526 + 77829.99768684579 * tau] +
3.0e-10 * cos[2.36500429653 + 103711.71527998279 * tau] +
3.1e-10 * cos[3.68314656803 + 28206.6670019526 * tau] +
2.7e-10 * cos[5.71639245109 + 111122.32316754239 * tau] +
2.6e-10 * cos[1.20902208843 + 44181.27784112419 * tau] +
2.4e-10 * cos[0.27171495756 + 24491.71669928959 * tau] +
2.4e-10 * cos[2.52484264487 + 1596.1864422846 * tau] +
3.2e-10 * cos[3.21019810469 + 28421.0995344462 * tau] +
2.9e-10 * cos[3.23415692694 + 104344.49901929598 * tau] +
3.0e-10 * cos[6.03255187776 + 32370.9789915656 * tau] +
2.8e-10 * cos[3.23650761988 + 128850.44281258718 * tau] +
2.9e-10 * cos[2.64144900778 + 26137.8997634784 * tau] +
2.6e-10 * cos[2.57652351573 + 134991.46920492979 * tau] +
2.7e-10 * cos[0.88054842818 + 157636.79740153858 * tau] +
3.3e-10 * cos[5.18111128318 + 114564.89811250778 * tau] +
2.8e-10 * cos[4.97598935775 + 103285.11708910679 * tau] +
3.1e-10 * cos[5.67743476614 + 117873.36400788819 * tau] +
3.4e-10 * cos[4.26548581082 + 90829.86112470538 * tau] +
3.0e-10 * cos[3.11318420566 + 106570.36967048359 * tau] +
2.8e-10 * cos[5.48224379273 + 91785.46086631398 * tau] +
3.5e-10 * cos[1.48121158024 + 85502.38501632259 * tau] +
2.9e-10 * cos[4.49728060011 + 103299.34418310839 * tau] +
2.9e-10 * cos[2.8922779253 + 104358.72611329758 * tau] +
3.8e-10 * cos[0.80809536333 + 151975.46535238638 * tau] +
3.0e-10 * cos[0.82864967511 + 46848.3301747656 * tau] +
3.6e-10 * cos[0.65969730203 + 51756.3216392732 * tau] +
2.9e-10 * cos[1.94010215318 + 103821.92160120218 * tau] +
3.9e-10 * cos[3.34206786809 + 26202.34243025941 * tau] +
3.1e-10 * cos[5.17982917253 + 71025.03383312259 * tau] +
4.0e-10 * cos[5.45287901295 + 27140.17152476259 * tau] +
3.2e-10 * cos[5.86059322955 + 104371.28232719658 * tau] +
3.3e-10 * cos[3.98525990131 + 78050.41032928458 * tau] +
3.6e-10 * cos[5.60766535694 + 188276.65404017158 * tau] +
3.2e-10 * cos[4.7334998692 + 52026.2430860138 * tau] +
4.2e-10 * cos[1.4145702213 + 181555.94006083018 * tau] +
3.2e-10 * cos[4.45254278754 + 50579.61984086379 * tau] +
3.4e-10 * cos[0.83611265968 + 12432.0426503978 * tau] +
3.5e-10 * cos[1.72937228501 + 131498.89763806018 * tau] +
3.9e-10 * cos[2.72082598885 + 79852.78232000639 * tau] +
3.8e-10 * cos[6.0532946799 + 419.4846438752 * tau] +
3.5e-10 * cos[5.5389589782 + 433.7117378768 * tau] +
4.0e-10 * cos[0.54598734169 + 105307.21230790539 * tau] +
3.9e-10 * cos[2.26439106521 + 129483.91596626239 * tau] +
3.7e-10 * cos[3.22245380356 + 51322.60990139639 * tau] +
3.9e-10 * cos[4.06156914485 + 104355.49390165479 * tau] +
4.6e-10 * cos[4.14427477722 + 125887.56221081219 * tau] +
4.7e-10 * cos[2.82867670887 + 25668.418497699 * tau] +
4.7e-10 * cos[3.77053215629 + 25973.46385288896 * tau] +
5.0e-10 * cos[1.46644208786 + 120226.23016165999 * tau] +
4.1e-10 * cos[4.21875403274 + 130969.20667296558 * tau] +
4.0e-10 * cos[4.65660434525 + 129909.82474277639 * tau] +
4.0e-10 * cos[2.9193266898 + 81706.28436968799 * tau] +
4.7e-10 * cos[2.79966035046 + 26514.5013324502 * tau] +
5.1e-10 * cos[1.08082309375 + 25619.9381512198 * tau] +
4.2e-10 * cos[3.32657201754 + 25654.19140369739 * tau] +
4.7e-10 * cos[4.30403626352 + 23754.70674870219 * tau] +
4.9e-10 * cos[0.68636780387 + 104331.94280539699 * tau] +
5.0e-10 * cos[2.21530140501 + 365230.64398203876 * tau] +
5.5e-10 * cos[1.20462687751 + 95247.70557217918 * tau] +
5.1e-10 * cos[5.56459812422 + 52602.4044740244 * tau] +
5.5e-10 * cos[4.79762177368 + 94138.32702008578 * tau] +
4.7e-10 * cos[4.99113735496 + 27154.3986187642 * tau] +
5.5e-10 * cos[5.47526225139 + 62389.09182935939 * tau] +
5.0e-10 * cos[4.62948267835 + 93028.94846799239 * tau] +
4.8e-10 * cos[2.04581990152 + 78477.00852016058 * tau] +
4.9e-10 * cos[1.27506119902 + 26727.8004278882 * tau] +
4.9e-10 * cos[1.76854754615 + 13655.8604911764 * tau] +
6.0e-10 * cos[2.12727479557 + 88476.99497093359 * tau] +
5.8e-10 * cos[6.22316473811 + 181505.94343892598 * tau] +
6.4e-10 * cos[1.19785741966 + 64741.95798313119 * tau] +
5.4e-10 * cos[2.23964604878 + 44937.1306915484 * tau] +
5.2e-10 * cos[4.11944860444 + 71492.99882347698 * tau] +
5.3e-10 * cos[1.34424134476 + 51742.09454527159 * tau] +
6.1e-10 * cos[3.20728040856 + 76144.94556434419 * tau] +
6.3e-10 * cos[0.40577774917 + 76044.9523205358 * tau] +
5.7e-10 * cos[0.63495768344 + 150866.08680029298 * tau] +
5.8e-10 * cos[0.98126270514 + 51962.5071877104 * tau] +
6.0e-10 * cos[5.95179539253 + 18849.2275499742 * tau] +
8.0e-10 * cos[0.75440631101 + 2118.7638603784 * tau] +
6.9e-10 * cos[1.37976390686 + 77211.44104153418 * tau] +
6.8e-10 * cos[2.15267768357 + 64607.84893354619 * tau] +
7.8e-10 * cos[1.79664677749 + 23969.1392811958 * tau] +
7.0e-10 * cos[2.07147354168 + 25934.1243310894 * tau] +
7.6e-10 * cos[4.44230028342 + 38654.05484155699 * tau] +
9.2e-10 * cos[2.55298032665 + 85034.42002596818 * tau] +
8.7e-10 * cos[2.61787684648 + 162188.75089859738 * tau] +
7.3e-10 * cos[5.93728826025 + 108903.56606335558 * tau] +
8.9e-10 * cos[1.62820970873 + 6283.0758499914 * tau] +
8.0e-10 * cos[1.9856425664 + 7238.6755916 * tau] +
9.1e-10 * cos[4.67762120545 + 155468.03691925599 * tau] +
7.3e-10 * cos[6.11603054445 + 78270.82297172339 * tau] +
9.3e-10 * cos[6.00229475799 + 53764.8791784322 * tau] +
7.5e-10 * cos[2.50722139185 + 2218.7571041868 * tau] +
9.6e-10 * cos[5.10490831351 + 52389.1053785864 * tau] +
8.9e-10 * cos[4.95684147986 + 105410.99449648599 * tau] +
8.2e-10 * cos[3.75652571856 + 99799.65906923798 * tau] +
8.5e-10 * cos[1.88852891739 + 77197.21394753258 * tau] +
8.6e-10 * cos[1.23375034376 + 26301.2022370122 * tau] +
8.8e-10 * cos[5.00176994115 + 38519.945791972 * tau] +
8.7e-10 * cos[4.20722631983 + 12566.1516999828 * tau] +
1.00e-9 * cos[1.21759895953 + 104881.30353139139 * tau] +
9.3e-10 * cos[0.15279056716 + 78256.59587772179 * tau] +
9.0e-10 * cos[5.82373560803 + 955.5997416086 * tau] +
1.12e-9 * cos[0.87682090108 + 74821.13447975718 * tau] +
9.8e-10 * cos[5.49064814924 + 77623.81213840858 * tau] +
1.07e-9 * cos[5.73194510449 + 131548.89425996438 * tau] +
1.00e-9 * cos[1.90676485528 + 103292.23063610759 * tau] +
9.5e-10 * cos[5.74549458142 + 78259.82808936459 * tau] +
1.21e-9 * cos[5.90839328752 + 26095.016688575 * tau] +
1.11e-9 * cos[1.00588061631 + 78267.59076008058 * tau] +
1.15e-9 * cos[1.57423656512 + 66941.04532641819 * tau] +
9.6e-10 * cos[0.01853371395 + 80482.46652890938 * tau] +
1.07e-9 * cos[4.79994153405 + 6770.7106012456 * tau] +
1.01e-9 * cos[5.52733987069 + 103396.01282468818 * tau] +
9.9e-10 * cos[6.18313188027 + 55618.3812281138 * tau] +
1.19e-9 * cos[3.64440622006 + 26617.5941066688 * tau] +
1.38e-9 * cos[4.46503235172 + 51123.53789995999 * tau] +
1.37e-9 * cos[3.93191153638 + 78244.0396638228 * tau] +
1.23e-9 * cos[4.432657352 + 639.897286314 * tau] +
1.06e-9 * cos[6.15493608726 + 11322.6640983044 * tau] +
1.24e-9 * cos[2.20590858584 + 33326.5787331742 * tau] +
1.36e-9 * cos[0.245596581 + 50057.04242277 * tau] +
1.16e-9 * cos[0.5007523578 + 102762.53967101299 * tau] +
1.58e-9 * cos[5.53788931475 + 9103.9069941176 * tau] +
1.25e-9 * cos[1.61827845372 + 129380.13377768178 * tau] +
1.34e-9 * cos[5.35393682799 + 213.299095438 * tau] +
1.14e-9 * cos[4.47315411813 + 68050.42387851159 * tau] +
1.15e-9 * cos[2.8136585152 + 78283.37918562238 * tau] +
1.35e-9 * cos[4.66414339767 + 25448.00585526019 * tau] +
1.22e-9 * cos[1.04298624291 + 45405.0956819028 * tau] +
1.26e-9 * cos[1.8943260926 + 1066.49547719 * tau] +
1.37e-9 * cos[2.10984857727 + 426.598190876 * tau] +
1.42e-9 * cos[3.0720910315 + 3442.5749449654 * tau] +
1.63e-9 * cos[6.05484015332 + 26080.78959457339 * tau] +
1.38e-9 * cos[2.34393108627 + 1052.2683831884 * tau] +
1.74e-9 * cos[5.88326736492 + 136100.84775702319 * tau] +
1.34e-9 * cos[0.9493002873 + 25021.4076643842 * tau] +
1.48e-9 * cos[3.87588943419 + 124778.18365871879 * tau] +
1.69e-9 * cos[3.40273824751 + 25874.6040461362 * tau] +
1.90e-9 * cos[3.05043439775 + 27676.976036858 * tau] +
1.40e-9 * cos[2.64826898848 + 16983.9961474566 * tau] +
1.45e-9 * cos[3.39803928124 + 45892.73043315699 * tau] +
1.92e-9 * cos[5.5021820905 + 339142.74084046457 * tau] +
1.57e-9 * cos[3.02451795123 + 52182.9198301492 * tau] +
2.01e-9 * cos[4.78711687782 + 40853.142184844 * tau] +
1.58e-9 * cos[3.63030783882 + 49957.0491789616 * tau] +
1.83e-9 * cos[1.42148796836 + 77734.01845962799 * tau] +
1.65e-9 * cos[0.4912369438 + 25035.6347583858 * tau] +
1.75e-9 * cos[2.91183047213 + 82815.66292178139 * tau] +
2.05e-9 * cos[1.89888752382 + 79323.09135491178 * tau] +
1.73e-9 * cos[3.1849677146 + 155418.04029735178 * tau] +
2.15e-9 * cos[4.50903357312 + 78793.40038981718 * tau] +
1.76e-9 * cos[5.15204624857 + 89586.37352302698 * tau] +
2.23e-9 * cos[2.96569885227 + 110012.94461544899 * tau] +
1.79e-9 * cos[4.43018837604 + 77837.11123384659 * tau] +
2.07e-9 * cos[2.89949362192 + 7.1135470008 * tau] +
1.88e-9 * cos[3.90664116889 + 48733.23133818299 * tau] +
1.94e-9 * cos[5.05904557922 + 51109.31080595839 * tau] +
2.53e-9 * cos[4.21581970504 + 79219.30916633119 * tau] +
2.51e-9 * cos[1.9004750479 + 14765.2390432698 * tau] +
2.35e-9 * cos[5.08060846802 + 59414.4818747484 * tau] +
2.63e-9 * cos[4.64138649646 + 69159.80243060499 * tau] +
2.91e-9 * cos[4.22929240183 + 52179.6876185064 * tau] +
2.12e-9 * cos[5.33861521612 + 15874.6175953632 * tau] +
2.10e-9 * cos[3.16281965425 + 29530.4780865396 * tau] +
2.45e-9 * cos[4.269960324 + 19317.1925403286 * tau] +
2.29e-9 * cos[5.16737598091 + 36301.18868778519 * tau] +
2.34e-9 * cos[2.51108507067 + 77308.10968311399 * tau] +
2.39e-9 * cos[3.35169081927 + 52168.69273614759 * tau] +
3.38e-9 * cos[1.55189200325 + 52705.49724824299 * tau] +
2.86e-9 * cos[2.39648280163 + 19804.8272915828 * tau] +
2.48e-9 * cos[2.3439684006 + 51535.90899683439 * tau] +
3.58e-9 * cos[6.14890038263 + 56727.7597802072 * tau] +
3.45e-9 * cos[0.84406679212 + 98690.28051714458 * tau] +
3.10e-9 * cos[2.69873876637 + 52171.9249477904 * tau] +
3.52e-9 * cos[5.92675293084 + 25661.3049506982 * tau] +
3.52e-9 * cos[0.879394819 + 52156.1365222486 * tau] +
3.64e-9 * cos[5.87784809361 + 58946.51688439399 * tau] +
3.14e-9 * cos[2.40932519602 + 83925.04147387479 * tau] +
3.08e-9 * cos[3.30225015955 + 54394.56338733519 * tau] +
3.78e-9 * cos[5.09810178577 + 53235.18821333759 * tau] +
4.24e-9 * cos[0.29775934661 + 1589.0728952838 * tau] +
3.46e-9 * cos[2.03170085305 + 27147.28507176339 * tau] +
3.29e-9 * cos[2.59508442112 + 65697.55772473979 * tau] +
3.69e-9 * cos[4.43217995206 + 22645.32819660879 * tau] +
3.35e-9 * cos[0.5599660533 + 23869.1460373874 * tau] +
3.83e-9 * cos[6.05537830853 + 52195.47604404819 * tau] +
4.36e-9 * cos[1.46213785727 + 43071.8992890308 * tau] +
4.30e-9 * cos[3.91046377635 + 76674.63652943878 * tau] +
4.33e-9 * cos[2.10197184422 + 24498.8302462904 * tau] +
4.67e-9 * cos[5.56622114735 + 4551.9534970588 * tau] +
4.59e-9 * cos[5.81611579004 + 51220.20654153979 * tau] +
4.94e-9 * cos[0.0743055645 + 28306.66024576099 * tau] +
4.70e-9 * cos[5.04436148211 + 13521.7514415914 * tau] +
4.74e-9 * cos[2.61466823958 + 32858.61374281979 * tau] +
4.95e-9 * cos[0.14776350456 + 129330.13715577759 * tau] +
6.69e-9 * cos[4.10310179631 + 72602.37737557039 * tau] +
6.65e-9 * cos[2.47994200156 + 313054.83769889036 * tau] +
6.33e-9 * cos[3.07427024064 + 30639.856638633 * tau] +
6.38e-9 * cos[1.16941585214 + 26091.7844769322 * tau] +
7.21e-9 * cos[1.16472614778 + 46514.4742339962 * tau] +
6.10e-9 * cos[2.96796433797 + 25132.3033999656 * tau] +
6.16e-9 * cos[5.9536898243 + 39609.6545831656 * tau] +
8.41e-9 * cos[5.9320678781 + 26084.0218062162 * tau] +
6.81e-9 * cos[1.40695567526 + 51749.20809227239 * tau] +
7.39e-9 * cos[3.05842748947 + 105460.99111839019 * tau] +
9.22e-9 * cos[2.30268247092 + 1109.3785520934 * tau] +
7.03e-9 * cos[2.22466530621 + 10213.285546211 * tau] +
7.55e-9 * cos[4.1091063739 + 26068.2333806744 * tau] +
7.31e-9 * cos[0.92148918837 + 73711.75592766379 * tau] +
7.94e-9 * cos[2.16868396183 + 63498.47038145279 * tau] +
7.83e-9 * cos[1.5096269941 + 41962.5207369374 * tau] +
7.82e-9 * cos[6.08817839271 + 529.6909650946 * tau] +
9.29e-9 * cos[4.81159652409 + 51646.11531805379 * tau] +
9.05e-9 * cos[3.34776562702 + 25558.2121764796 * tau] +
1.063e-8 * cos[1.28486292967 + 53131.406024757 * tau] +
9.18e-9 * cos[1.89988871166 + 1059.3819301892 * tau] +
1.050e-8 * cos[3.00944151152 + 26107.57290247399 * tau] +
1.076e-8 * cos[0.95624460335 + 50586.73338786459 * tau] +
1.297e-8 * cos[5.34251327744 + 37410.5672398786 * tau] +
1.345e-8 * cos[3.39193943388 + 103242.23401420339 * tau] +
1.398e-8 * cos[0.66375029294 + 20426.571092422 * tau] +
1.518e-8 * cos[5.01636479848 + 77204.32749453338 * tau] +
1.523e-8 * cos[1.97926797181 + 5661.3320491522 * tau] +
1.651e-8 * cos[4.43606584681 + 27043.5028831828 * tau] +
2.380e-8 * cos[4.0021366655 + 21535.9496445154 * tau] +
2.286e-8 * cos[5.74036496396 + 286966.93455731616 * tau] +
2.126e-8 * cos[4.16352818018 + 47623.8527860896 * tau] +
2.742e-8 * cos[0.98758439378 + 25028.521211385 * tau] +
2.932e-8 * cos[5.95430013169 + 57837.1383323006 * tau] +
3.481e-8 * cos[0.10739761667 + 79373.08797681599 * tau] +
3.394e-8 * cos[0.34761695275 + 77154.33087262919 * tau] +
5.453e-8 * cos[1.97318763801 + 51116.4243529592 * tau] +
6.183e-8 * cos[2.92383205004 + 31749.2351907264 * tau] +
7.527e-8 * cos[3.58305121268 + 51066.427731055 * tau] +
7.781e-8 * cos[2.71768609268 + 260879.03141574195 * tau] +
1.2720e-7 * cos[0.53792661684 + 24978.5245894808 * tau] +
1.2831e-7 * cos[3.37744320558 + 53285.1848352418 * tau] +
2.7696e-7 * cos[0.29068938889 + 27197.2816936676 * tau] +
2.6133e-7 * cos[5.97708962692 + 234791.12827416777 * tau] +
8.6233e-7 * cos[2.95244391822 + 208703.22513259358 * tau] +
0.00000277503 * cos[6.21020774184 + 182615.32199101939 * tau] +
0.00000859585 * cos[3.18452433647 + 156527.41884944518 * tau] +
0.00002495743 * cos[0.16051210665 + 130439.51570787099 * tau] +
0.00006353462 * cos[3.42943919982 + 104351.61256629678 * tau] +
0.00010894981 * cos[0.48540174006 + 78263.70942472259 * tau] +
0.00022675295 * cos[0.0151536688 + 52175.8062831484 * tau] +
0.00146233668 * cos[3.14159265359 + 0.0 * tau] +
0.00429151362 * cos[3.50169780393 + 26087.9031415742 * tau];
B2 = 1e-11 * cos[1.16964771504 + 134991.46920492979 * tau] +
1e-11 * cos[1.12941846578 + 60055.89543648739 * tau] +
1e-11 * cos[1.4544292039 + 207593.84658050018 * tau] +
1e-11 * cos[1.44980129997 + 26727.8004278882 * tau] +
1e-11 * cos[6.02359186416 + 181555.94006083018 * tau] +
1e-11 * cos[0.91634007063 + 103925.01437542078 * tau] +
1e-11 * cos[5.66709359706 + 433.7117378768 * tau] +
1e-11 * cos[3.06688416266 + 129909.82474277639 * tau] +
1e-11 * cos[5.66312942513 + 97580.90196505119 * tau] +
1e-11 * cos[0.57714874874 + 71980.63357473118 * tau] +
1e-11 * cos[3.99494842792 + 71025.03383312259 * tau] +
1e-11 * cos[2.1046897466 + 25619.9381512198 * tau] +
1e-11 * cos[1.86810476133 + 125887.56221081219 * tau] +
1e-11 * cos[6.0834623193 + 70269.18098269838 * tau] +
1e-11 * cos[0.3378067084 + 88476.99497093359 * tau] +
1e-11 * cos[0.81835364761 + 35191.8101356918 * tau] +
1e-11 * cos[2.46437105095 + 104355.49390165479 * tau] +
1e-11 * cos[0.66520680194 + 419.4846438752 * tau] +
1e-11 * cos[1.03752853909 + 104347.73123093879 * tau] +
1e-11 * cos[1.40205887414 + 44937.1306915484 * tau] +
1e-11 * cos[5.31900403501 + 78149.27013603736 * tau] +
1e-11 * cos[1.70741856509 + 28206.6670019526 * tau] +
1e-11 * cos[4.00786092689 + 78244.0396638228 * tau] +
2e-11 * cos[6.27597485867 + 91785.46086631398 * tau] +
1e-11 * cos[1.50558734911 + 78378.14871340781 * tau] +
1e-11 * cos[1.64083661387 + 78283.37918562238 * tau] +
1e-11 * cos[4.3906969233 + 104371.28232719658 * tau] +
1e-11 * cos[3.9968745549 + 188276.65404017158 * tau] +
1e-11 * cos[4.6544150087 + 78259.82808936459 * tau] +
2e-11 * cos[5.13550087739 + 6770.7106012456 * tau] +
1e-11 * cos[2.42972717822 + 94138.32702008578 * tau] +
2e-11 * cos[1.93198050022 + 853.196381752 * tau] +
2e-11 * cos[1.92656028088 + 102132.85546210999 * tau] +
1e-11 * cos[0.44808516059 + 78050.41032928458 * tau] +
1e-11 * cos[5.49175475674 + 104331.94280539699 * tau] +
2e-11 * cos[5.12532278095 + 78267.59076008058 * tau] +
1e-11 * cos[3.11496551907 + 25934.1243310894 * tau] +
1e-11 * cos[0.17409967102 + 131498.89763806018 * tau] +
1e-11 * cos[2.34997564292 + 85502.38501632259 * tau] +
2e-11 * cos[6.0451587872 + 25035.6347583858 * tau] +
2e-11 * cos[5.84222491614 + 103821.92160120218 * tau] +
2e-11 * cos[2.72257468038 + 7994.5284420242 * tau] +
2e-11 * cos[2.60965333457 + 52602.4044740244 * tau] +
2e-11 * cos[2.80140642811 + 62389.09182935939 * tau] +
2e-11 * cos[5.1209935622 + 51322.60990139639 * tau] +
2e-11 * cos[1.80783236802 + 23969.1392811958 * tau] +
2e-11 * cos[3.94039306142 + 391318.54712361297 * tau] +
2e-11 * cos[0.99320491085 + 162188.75089859738 * tau] +
2e-11 * cos[0.20969999844 + 19804.8272915828 * tau] +
2e-11 * cos[0.16105302705 + 25021.4076643842 * tau] +
2e-11 * cos[0.86961235954 + 129483.91596626239 * tau] +
2e-11 * cos[1.36487993355 + 79852.78232000639 * tau] +
2e-11 * cos[1.39891525246 + 81706.28436968799 * tau] +
3e-11 * cos[1.68659744145 + 28421.0995344462 * tau] +
2e-11 * cos[6.18606575651 + 51123.53789995999 * tau] +
2e-11 * cos[2.74114399659 + 130969.20667296558 * tau] +
3e-11 * cos[4.49779099 + 76144.94556434419 * tau] +
3e-11 * cos[6.16142033746 + 78477.00852016058 * tau] +
2e-11 * cos[3.04958336441 + 93028.94846799239 * tau] +
3e-11 * cos[4.14284031224 + 85034.42002596818 * tau] +
2e-11 * cos[5.60083003625 + 26514.5013324502 * tau] +
2e-11 * cos[2.59250638038 + 155468.03691925599 * tau] +
2e-11 * cos[5.29927753161 + 64741.95798313119 * tau] +
2e-11 * cos[2.6174140723 + 71492.99882347698 * tau] +
3e-11 * cos[1.21305125502 + 105307.21230790539 * tau] +
3e-11 * cos[4.9197929909 + 18849.2275499742 * tau] +
3e-11 * cos[5.12230469501 + 32370.9789915656 * tau] +
3e-11 * cos[4.74285528385 + 53764.8791784322 * tau] +
3e-11 * cos[4.24481036893 + 136100.84775702319 * tau] +
3e-11 * cos[5.79669813464 + 131548.89425996438 * tau] +
3e-11 * cos[5.2163956913 + 150866.08680029298 * tau] +
3e-11 * cos[2.7199654281 + 38654.05484155699 * tau] +
3e-11 * cos[4.38738526963 + 108903.56606335558 * tau] +
3e-11 * cos[0.33551297325 + 13655.8604911764 * tau] +
3e-11 * cos[4.90907522926 + 99799.65906923798 * tau] +
3e-11 * cos[3.64497587259 + 64607.84893354619 * tau] +
4e-11 * cos[3.40685398189 + 52389.1053785864 * tau] +
3e-11 * cos[3.84817111044 + 2218.7571041868 * tau] +
4e-11 * cos[5.56139758889 + 26301.2022370122 * tau] +
4e-11 * cos[3.40653389629 + 105410.99449648599 * tau] +
4e-11 * cos[0.905624683 + 77623.81213840858 * tau] +
4e-11 * cos[4.37998582536 + 52182.9198301492 * tau] +
4e-11 * cos[2.92685125689 + 639.897286314 * tau] +
4e-11 * cos[1.81128771043 + 102762.53967101299 * tau] +
4e-11 * cos[5.09850398144 + 77837.11123384659 * tau] +
3e-11 * cos[3.19112063073 + 13521.7514415914 * tau] +
4e-11 * cos[5.29735530203 + 52179.6876185064 * tau] +
4e-11 * cos[2.43638238426 + 74821.13447975718 * tau] +
4e-11 * cos[6.07508617692 + 2118.7638603784 * tau] +
4e-11 * cos[0.62543334322 + 11322.6640983044 * tau] +
5e-11 * cos[3.86489045633 + 9103.9069941176 * tau] +
5e-11 * cos[3.20016226905 + 426.598190876 * tau] +
4e-11 * cos[5.32828531774 + 25448.00585526019 * tau] +
5e-11 * cos[3.78671774559 + 52171.9249477904 * tau] +
5e-11 * cos[5.7581296517 + 104881.30353139139 * tau] +
5e-11 * cos[0.38451698643 + 955.5997416086 * tau] +
4e-11 * cos[0.29398633221 + 51109.31080595839 * tau] +
5e-11 * cos[4.23944686799 + 103396.01282468818 * tau] +
4e-11 * cos[0.23100295125 + 89586.37352302698 * tau] +
6e-11 * cos[0.86124028508 + 52195.47604404819 * tau] +
5e-11 * cos[6.27908880897 + 66941.04532641819 * tau] +
6e-11 * cos[5.23350745087 + 129380.13377768178 * tau] +
4e-11 * cos[1.93085125724 + 52156.1365222486 * tau] +
5e-11 * cos[2.24953488234 + 52061.36699446317 * tau] +
5e-11 * cos[5.35730277715 + 12566.1516999828 * tau] +
5e-11 * cos[4.67655631038 + 181505.94343892598 * tau] +
5e-11 * cos[1.65565332809 + 80482.46652890938 * tau] +
6e-11 * cos[4.72387999717 + 52290.24557183361 * tau] +
5e-11 * cos[5.5815366372 + 68050.42387851159 * tau] +
6e-11 * cos[0.7144527205 + 27147.28507176339 * tau] +
7e-11 * cos[5.49596353318 + 23754.70674870219 * tau] +
5e-11 * cos[2.013597281 + 27676.976036858 * tau] +
6e-11 * cos[1.61443478349 + 3442.5749449654 * tau] +
7e-11 * cos[2.06447590782 + 124778.18365871879 * tau] +
6e-11 * cos[5.13879522396 + 76044.9523205358 * tau] +
7e-11 * cos[3.14407932401 + 51962.5071877104 * tau] +
7e-11 * cos[5.41918774642 + 1109.3785520934 * tau] +
7e-11 * cos[4.12285655199 + 45892.73043315699 * tau] +
6e-11 * cos[0.6782367506 + 110012.94461544899 * tau] +
8e-11 * cos[0.34211699258 + 79323.09135491178 * tau] +
6e-11 * cos[4.85942618671 + 52168.69273614759 * tau] +
6e-11 * cos[4.57200111034 + 55618.3812281138 * tau] +
7e-11 * cos[3.82318715536 + 1052.2683831884 * tau] +
7e-11 * cos[5.80782632115 + 45405.0956819028 * tau] +
7e-11 * cos[3.40544433462 + 1066.49547719 * tau] +
8e-11 * cos[3.00335450338 + 40853.142184844 * tau] +
7e-11 * cos[1.3551301451 + 82815.66292178139 * tau] +
9e-11 * cos[6.08426293157 + 69159.80243060499 * tau] +
8e-11 * cos[5.99792913268 + 7.1135470008 * tau] +
7e-11 * cos[0.54370332724 + 38519.945791972 * tau] +
7e-11 * cos[1.48753095657 + 29530.4780865396 * tau] +
8e-11 * cos[6.07959531374 + 59414.4818747484 * tau] +
8e-11 * cos[2.05186284069 + 30639.856638633 * tau] +
9e-11 * cos[3.03935867498 + 78793.40038981718 * tau] +
1.0e-10 * cos[3.56346926379 + 53235.18821333759 * tau] +
8e-11 * cos[0.85708473896 + 365230.64398203876 * tau] +
1.0e-10 * cos[3.63881306668 + 65697.55772473979 * tau] +
8e-11 * cos[2.22267415318 + 6283.0758499914 * tau] +
1.1e-10 * cos[4.59333229552 + 56727.7597802072 * tau] +
1.2e-10 * cos[2.44342322463 + 213.299095438 * tau] +
1.1e-10 * cos[1.59577581724 + 50057.04242277 * tau] +
1.0e-10 * cos[5.42117419251 + 14765.2390432698 * tau] +
1.1e-10 * cos[6.12421691815 + 52705.49724824299 * tau] +
1.2e-10 * cos[1.64438976704 + 26202.34243025941 * tau] +
1.0e-10 * cos[2.67818215946 + 77734.01845962799 * tau] +
1.0e-10 * cos[3.10957426655 + 16983.9961474566 * tau] +
1.0e-10 * cos[3.19718718931 + 24498.8302462904 * tau] +
1.2e-10 * cos[5.16549673414 + 1589.0728952838 * tau] +
1.2e-10 * cos[6.17629016531 + 36301.18868778519 * tau] +
1.4e-10 * cos[5.48457159802 + 98690.28051714458 * tau] +
1.2e-10 * cos[2.74476655782 + 19317.1925403286 * tau] +
1.2e-10 * cos[1.33980027148 + 77308.10968311399 * tau] +
1.5e-10 * cos[3.49521469034 + 83925.04147387479 * tau] +
1.1e-10 * cos[5.16599347976 + 15874.6175953632 * tau] +
1.2e-10 * cos[2.93766606728 + 33326.5787331742 * tau] +
1.2e-10 * cos[5.15541566845 + 79219.30916633119 * tau] +
1.5e-10 * cos[5.43792291298 + 25973.46385288896 * tau] +
1.3e-10 * cos[1.65023710844 + 26095.016688575 * tau] +
1.4e-10 * cos[5.66400816218 + 48733.23133818299 * tau] +
1.3e-10 * cos[2.08475100066 + 49957.0491789616 * tau] +
1.6e-10 * cos[2.09223320909 + 103292.23063610759 * tau] +
1.3e-10 * cos[3.28426450224 + 25661.3049506982 * tau] +
1.4e-10 * cos[2.35860855509 + 26080.78959457339 * tau] +
1.6e-10 * cos[4.0210564377 + 105460.99111839019 * tau] +
1.9e-10 * cos[0.32685450395 + 4551.9534970588 * tau] +
1.8e-10 * cos[2.11191340126 + 26617.5941066688 * tau] +
1.7e-10 * cos[1.67702029587 + 155418.04029735178 * tau] +
2.0e-10 * cos[2.44092663198 + 51749.20809227239 * tau] +
1.9e-10 * cos[2.02802084878 + 73711.75592766379 * tau] +
1.9e-10 * cos[2.26589689692 + 72602.37737557039 * tau] +
1.7e-10 * cos[4.06375348164 + 51535.90899683439 * tau] +
2.0e-10 * cos[6.05659966832 + 25028.521211385 * tau] +
2.5e-10 * cos[5.17153436907 + 76674.63652943878 * tau] +
2.1e-10 * cos[4.78965226125 + 51220.20654153979 * tau] +
2.3e-10 * cos[1.1425826685 + 58946.51688439399 * tau] +
2.6e-10 * cos[3.11971794265 + 43071.8992890308 * tau] +
2.1e-10 * cos[5.85119251529 + 25874.6040461362 * tau] +
2.4e-10 * cos[2.71284750937 + 26091.7844769322 * tau] +
3.0e-10 * cos[1.15631768661 + 26084.0218062162 * tau] +
2.7e-10 * cos[3.32081057071 + 10213.285546211 * tau] +
2.4e-10 * cos[4.8636944533 + 46514.4742339962 * tau] +
2.3e-10 * cos[5.30820497885 + 23869.1460373874 * tau] +
2.8e-10 * cos[0.80200569507 + 39609.6545831656 * tau] +
2.9e-10 * cos[4.01947170286 + 339142.74084046457 * tau] +
2.9e-10 * cos[3.56940606994 + 63498.47038145279 * tau] +
2.9e-10 * cos[2.70280425915 + 41962.5207369374 * tau] +
2.5e-10 * cos[3.31115218239 + 1059.3819301892 * tau] +
2.9e-10 * cos[5.66168505554 + 26068.2333806744 * tau] +
2.7e-10 * cos[4.8718083816 + 54394.56338733519 * tau] +
3.0e-10 * cos[0.7660773863 + 5661.3320491522 * tau] +
3.2e-10 * cos[1.99466664427 + 25132.3033999656 * tau] +
3.7e-10 * cos[4.50512068847 + 26107.57290247399 * tau] +
3.3e-10 * cos[4.34189175312 + 32858.61374281979 * tau] +
3.6e-10 * cos[5.61094806248 + 22645.32819660879 * tau] +
4.2e-10 * cos[4.89875940528 + 129330.13715577759 * tau] +
4.3e-10 * cos[6.15538236294 + 51646.11531805379 * tau] +
6.1e-10 * cos[1.64891174657 + 20426.571092422 * tau] +
5.2e-10 * cos[3.58488737294 + 25558.2121764796 * tau] +
4.6e-10 * cos[5.77182292982 + 529.6909650946 * tau] +
6.0e-10 * cos[0.54679388547 + 37410.5672398786 * tau] +
5.8e-10 * cos[5.88387132512 + 77204.32749453338 * tau] +
4.9e-10 * cos[1.7819375356 + 28306.66024576099 * tau] +
7.4e-10 * cos[2.28645155343 + 50586.73338786459 * tau] +
5.8e-10 * cos[2.35944147105 + 53131.406024757 * tau] +
9.3e-10 * cos[1.01040170383 + 313054.83769889036 * tau] +
7.9e-10 * cos[5.50027152752 + 47623.8527860896 * tau] +
8.1e-10 * cos[0.85802178989 + 57837.1383323006 * tau] +
9.3e-10 * cos[1.83776226489 + 103242.23401420339 * tau] +
1.23e-9 * cos[1.51066137419 + 79373.08797681599 * tau] +
1.14e-9 * cos[5.6223246077 + 27043.5028831828 * tau] +
1.43e-9 * cos[5.71074961492 + 21535.9496445154 * tau] +
1.86e-9 * cos[5.05207772442 + 77154.33087262919 * tau] +
2.32e-9 * cos[4.22847849119 + 31749.2351907264 * tau] +
2.35e-9 * cos[3.14549432371 + 51116.4243529592 * tau] +
2.84e-9 * cos[4.25874901943 + 286966.93455731616 * tau] +
3.06e-9 * cos[5.03912693671 + 24978.5245894808 * tau] +
3.01e-9 * cos[1.9609892443 + 51066.427731055 * tau] +
6.41e-9 * cos[4.87358642253 + 53285.1848352418 * tau] +
8.52e-9 * cos[1.22749255198 + 260879.03141574195 * tau] +
1.739e-8 * cos[1.830800396 + 27197.2816936676 * tau] +
2.479e-8 * cos[4.47495202955 + 234791.12827416777 * tau] +
6.927e-8 * cos[1.4340488893 + 208703.22513259358 * tau] +
1.8316e-7 * cos[4.66904655377 + 182615.32199101939 * tau] +
4.4692e-7 * cos[1.60758267772 + 156527.41884944518 * tau] +
9.6300e-7 * cos[4.80023692017 + 130439.51570787099 * tau] +
0.0000017028 * cos[1.62255638714 + 104351.61256629678 * tau] +
0.00000266213 * cos[4.43418336532 + 78263.70942472259 * tau] +
0.00001044801 * cos[1.21216540536 + 52175.8062831484 * tau] +
0.00001913516 * cos[0.0 + 0.0 * tau] +
0.00011830934 * cos[4.79065585784 + 26087.9031415742 * tau];
B3 = 1e-11 * cos[2.44816565966 + 26084.0218062162 * tau] +
1e-11 * cos[4.87981157471 + 10213.285546211 * tau] +
1e-11 * cos[5.64455351094 + 365230.64398203876 * tau] +
1e-11 * cos[3.81913361795 + 26091.7844769322 * tau] +
1e-11 * cos[5.78167324673 + 26107.57290247399 * tau] +
1e-11 * cos[0.60289607514 + 26068.2333806744 * tau] +
1e-11 * cos[3.7357912717 + 24498.8302462904 * tau] +
1e-11 * cos[5.39398540975 + 32858.61374281979 * tau] +
1e-11 * cos[3.67689055309 + 4551.9534970588 * tau] +
1e-11 * cos[2.7660997227 + 28306.66024576099 * tau] +
1e-11 * cos[0.36358097174 + 22645.32819660879 * tau] +
1e-11 * cos[1.39436798574 + 51646.11531805379 * tau] +
1e-11 * cos[1.05410669937 + 1589.0728952838 * tau] +
1e-11 * cos[3.81958470276 + 53131.406024757 * tau] +
1e-11 * cos[5.8492163243 + 5661.3320491522 * tau] +
1e-11 * cos[2.53223701416 + 46514.4742339962 * tau] +
1e-11 * cos[2.144942913 + 79373.08797681599 * tau] +
2e-11 * cos[3.97317842825 + 25132.3033999656 * tau] +
1e-11 * cos[1.85116662745 + 37410.5672398786 * tau] +
2e-11 * cos[5.85039338716 + 1059.3819301892 * tau] +
2e-11 * cos[4.80841415889 + 25028.521211385 * tau] +
2e-11 * cos[5.00344393497 + 20426.571092422 * tau] +
1e-11 * cos[4.93247555987 + 25558.2121764796 * tau] +
1e-11 * cos[2.64641192612 + 57837.1383323006 * tau] +
1e-11 * cos[3.3368854909 + 129330.13715577759 * tau] +
2e-11 * cos[4.70766241226 + 51066.427731055 * tau] +
2e-11 * cos[3.61692083154 + 50586.73338786459 * tau] +
2e-11 * cos[0.74986942696 + 47623.8527860896 * tau] +
2e-11 * cos[1.8230939704 + 1109.3785520934 * tau] +
2e-11 * cos[2.57068697582 + 339142.74084046457 * tau] +
4e-11 * cos[0.82832725003 + 21535.9496445154 * tau] +
3e-11 * cos[0.79794705473 + 27043.5028831828 * tau] +
3e-11 * cos[0.26522113546 + 103242.23401420339 * tau] +
4e-11 * cos[3.36833718999 + 77154.33087262919 * tau] +
4e-11 * cos[4.67212195693 + 51116.4243529592 * tau] +
6e-11 * cos[5.81555175073 + 31749.2351907264 * tau] +
8e-11 * cos[5.79551081392 + 313054.83769889036 * tau] +
1.2e-10 * cos[6.24116133415 + 53285.1848352418 * tau] +
1.7e-10 * cos[0.77798463435 + 24978.5245894808 * tau] +
2.3e-10 * cos[2.74287679452 + 286966.93455731616 * tau] +
5.4e-10 * cos[3.31612529961 + 27197.2816936676 * tau] +
6.2e-10 * cos[5.97292432097 + 260879.03141574195 * tau] +
1.59e-9 * cos[2.9243737832 + 234791.12827416777 * tau] +
3.84e-9 * cos[6.14815319932 + 208703.22513259358 * tau] +
8.57e-9 * cos[3.07673166705 + 182615.32199101939 * tau] +
1.732e-8 * cos[6.26642412058 + 156527.41884944518 * tau] +
3.061e-8 * cos[3.12497552681 + 130439.51570787099 * tau] +
4.580e-8 * cos[6.14257817571 + 104351.61256629678 * tau] +
6.376e-8 * cos[2.50715381439 + 78263.70942472259 * tau] +
1.8904e-7 * cos[4.36275460261 + 52175.8062831484 * tau] +
0.00000160537 * cos[0.0 + 0.0 * tau] +
0.00000235423 * cos[0.35387524604 + 26087.9031415742 * tau];
B4 = 1e-11 * cos[1.16082903756 + 286966.93455731616 * tau] +
1e-11 * cos[4.69096566687 + 27197.2816936676 * tau] +
3e-11 * cos[4.40269422669 + 260879.03141574195 * tau] +
8e-11 * cos[1.34684622635 + 234791.12827416777 * tau] +
1.6e-10 * cos[4.56372679459 + 208703.22513259358 * tau] +
3.1e-10 * cos[1.44226942756 + 182615.32199101939 * tau] +
5.1e-10 * cos[4.54581086194 + 156527.41884944518 * tau] +
7.3e-10 * cos[1.18210375402 + 130439.51570787099 * tau] +
1.16e-9 * cos[3.75237354024 + 104351.61256629678 * tau] +
2.57e-9 * cos[0.20643590425 + 78263.70942472259 * tau] +
4.25e-9 * cos[4.03419509143 + 52175.8062831484 * tau] +
1.023e-8 * cos[3.14159265359 + 0.0 * tau] +
4.276e-8 * cos[1.74579932115 + 26087.9031415742 * tau];
B5 = 1e-11 * cos[6.00841870284 + 182615.32199101939 * tau] +
1e-11 * cos[2.68052517331 + 156527.41884944518 * tau] +
2e-11 * cos[5.43162058632 + 130439.51570787099 * tau] +
4e-11 * cos[2.05662545278 + 104351.61256629678 * tau] +
7e-11 * cos[4.99717136857 + 78263.70942472259 * tau] +
2.2e-10 * cos[1.30514874546 + 52175.8062831484 * tau] +
7.5e-10 * cos[3.14159265359 + 0.0 * tau] +
1.06e-9 * cos[3.94555784256 + 26087.9031415742 * tau];
R0 = 1e-11 * cos[4.33602746737 + 4601.950118963 * tau] +
2e-11 * cos[3.05277164813 + 225.8292684102 * tau] +
2e-11 * cos[3.91669753023 + 76352.50994150538 * tau] +
1e-11 * cos[0.71806518278 + 28928.40404660019 * tau] +
2e-11 * cos[0.62470424533 + 51745.27593900929 * tau] +
2e-11 * cos[0.1124953909 + 38469.94917006779 * tau] +
1e-11 * cos[3.57619837497 + 209658.82487420218 * tau] +
2e-11 * cos[5.02281046549 + 422.6660376129 * tau] +
1e-11 * cos[5.61994219678 + 50690.51557644519 * tau] +
2e-11 * cos[1.03965665113 + 1802.3719907218 * tau] +
2e-11 * cos[6.22578827437 + 74935.57376844239 * tau] +
1e-11 * cos[4.93638931294 + 27993.3679065146 * tau] +
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1.971e-8 * cos[3.77455887616 + 19317.1925403286 * tau] +
1.750e-8 * cos[5.50651903992 + 56727.7597802072 * tau] +
1.863e-8 * cos[2.26591720786 + 26084.0218062162 * tau] +
1.945e-8 * cos[2.37383894182 + 6770.7106012456 * tau] +
1.873e-8 * cos[0.69327393635 + 26091.7844769322 * tau] +
1.872e-8 * cos[3.93046425037 + 38654.05484155699 * tau] +
2.022e-8 * cos[0.33828477567 + 99799.65906923798 * tau] +
2.526e-8 * cos[0.34535290139 + 23969.1392811958 * tau] +
1.965e-8 * cos[1.37420902653 + 7238.6755916 * tau] +
1.971e-8 * cos[0.4740749431 + 48733.23133818299 * tau] +
2.135e-8 * cos[0.84621449019 + 76674.63652943878 * tau] +
2.557e-8 * cos[2.95114696617 + 26080.78959457339 * tau] +
2.792e-8 * cos[5.05148206806 + 51220.20654153979 * tau] +
2.741e-8 * cos[4.75427920262 + 63498.47038145279 * tau] +
2.274e-8 * cos[0.50173671332 + 32370.9789915656 * tau] +
2.267e-8 * cos[2.17941340037 + 110012.94461544899 * tau] +
2.755e-8 * cos[5.67587087632 + 26107.57290247399 * tau] +
3.044e-8 * cos[5.90613310181 + 105460.99111839019 * tau] +
2.507e-8 * cos[2.23312085627 + 260879.03141574195 * tau] +
2.713e-8 * cos[3.5687491398 + 26068.2333806744 * tau] +
2.746e-8 * cos[4.67880529205 + 53235.18821333759 * tau] +
2.820e-8 * cos[4.62628436074 + 18849.2275499742 * tau] +
3.614e-8 * cos[2.95861599353 + 28306.66024576099 * tau] +
3.054e-8 * cos[4.12578324522 + 77734.01845962799 * tau] +
3.278e-8 * cos[3.13863529552 + 25874.6040461362 * tau] +
3.261e-8 * cos[1.03195890028 + 68050.42387851159 * tau] +
4.120e-8 * cos[1.65386255382 + 25448.00585526019 * tau] +
3.354e-8 * cos[3.49345105494 + 72602.37737557039 * tau] +
3.426e-8 * cos[0.64911736234 + 52705.49724824299 * tau] +
4.428e-8 * cos[5.69109527379 + 45892.73043315699 * tau] +
4.075e-8 * cos[4.29142111073 + 103292.23063610759 * tau] +
4.090e-8 * cos[3.6759365871 + 22645.32819660879 * tau] +
5.186e-8 * cos[3.56743214904 + 6283.0758499914 * tau] +
5.415e-8 * cos[5.20028107807 + 65697.55772473979 * tau] +
6.460e-8 * cos[6.07127449283 + 77154.33087262919 * tau] +
7.653e-8 * cos[3.91505031889 + 51749.20809227239 * tau] +
5.943e-8 * cos[4.06893157254 + 53131.406024757 * tau] +
6.885e-8 * cos[5.3110852663 + 1589.0728952838 * tau] +
8.853e-8 * cos[3.87737694074 + 50586.73338786459 * tau] +
6.560e-8 * cos[4.27818149213 + 43071.8992890308 * tau] +
6.863e-8 * cos[1.82313992707 + 36301.18868778519 * tau] +
7.109e-8 * cos[5.32625264624 + 426.598190876 * tau] +
8.492e-8 * cos[3.56622930635 + 73711.75592766379 * tau] +
7.215e-8 * cos[1.17101960691 + 16983.9961474566 * tau] +
7.463e-8 * cos[5.53233943198 + 32858.61374281979 * tau] +
7.499e-8 * cos[2.44636811119 + 30639.856638633 * tau] +
9.379e-8 * cos[5.41195286503 + 83925.04147387479 * tau] +
9.491e-8 * cos[0.83697007534 + 12566.1516999828 * tau] +
9.069e-8 * cos[1.21263611811 + 14765.2390432698 * tau] +
1.2069e-7 * cos[2.84997619452 + 79373.08797681599 * tau] +
1.2754e-7 * cos[2.07613721222 + 529.6909650946 * tau] +
1.0612e-7 * cos[5.46555460932 + 234791.12827416777 * tau] +
1.1933e-7 * cos[2.36500939134 + 4551.9534970588 * tau] +
1.6297e-7 * cos[2.63293587817 + 19804.8272915828 * tau] +
1.3938e-7 * cos[1.99984876578 + 25132.3033999656 * tau] +
1.2794e-7 * cos[6.06437138766 + 1109.3785520934 * tau] +
1.3977e-7 * cos[4.77056848793 + 33326.5787331742 * tau] +
1.5012e-7 * cos[4.28173463507 + 41962.5207369374 * tau] +
1.3382e-7 * cos[1.07657890477 + 51646.11531805379 * tau] +
1.3940e-7 * cos[1.62573946865 + 27147.28507176339 * tau] +
1.7087e-7 * cos[1.24077764194 + 77204.32749453338 * tau] +
1.5109e-7 * cos[0.44510589948 + 46514.4742339962 * tau] +
1.6941e-7 * cos[3.88765393402 + 26617.5941066688 * tau] +
1.9422e-7 * cos[4.98378647655 + 10213.285546211 * tau] +
2.1270e-7 * cos[5.36857139841 + 13521.7514415914 * tau] +
1.8699e-7 * cos[4.96496008403 + 11322.6640983044 * tau] +
2.6105e-7 * cos[2.15021963174 + 39609.6545831656 * tau] +
3.0903e-7 * cos[0.88366335532 + 24498.8302462904 * tau] +
2.8417e-7 * cos[3.02063625668 + 51066.427731055 * tau] +
3.0092e-7 * cos[1.79500530627 + 37410.5672398786 * tau] +
3.7203e-7 * cos[0.5173382147 + 47623.8527860896 * tau] +
3.3873e-7 * cos[0.86381554651 + 25661.3049506982 * tau] +
4.4234e-7 * cos[1.21957314874 + 15874.6175953632 * tau] +
4.0815e-7 * cos[2.35882016415 + 57837.1383323006 * tau] +
3.5224e-7 * cos[1.05917802674 + 27043.5028831828 * tau] +
4.5748e-7 * cos[2.41480951648 + 208703.22513259358 * tau] +
4.8266e-7 * cos[6.06824478778 + 53285.1848352418 * tau] +
7.5500e-7 * cos[4.47428642962 + 51116.4243529592 * tau] +
6.6754e-7 * cos[2.52520309182 + 5661.3320491522 * tau] +
6.2951e-7 * cos[4.76588899933 + 1059.3819301892 * tau] +
6.3277e-7 * cos[4.29905918105 + 25558.2121764796 * tau] +
7.7561e-7 * cos[3.66972526976 + 20426.571092422 * tau] +
0.00000100144 * cos[3.73435608689 + 21535.9496445154 * tau] +
0.0000014198 * cos[6.25264202645 + 24978.5245894808 * tau] +
0.00000201499 * cos[5.59227724202 + 31749.2351907264 * tau] +
0.00000201855 * cos[5.6472504035 + 182615.32199101939 * tau] +
0.00000289955 * cos[1.42441936951 + 25028.521211385 * tau] +
0.00000260033 * cos[3.02817753482 + 27197.2816936676 * tau] +
0.00000918228 * cos[2.59650562598 + 156527.41884944518 * tau] +
0.00004354065 * cos[5.82894543257 + 130439.51570787099 * tau] +
0.00021921969 * cos[2.77820093975 + 104351.61256629678 * tau] +
0.00121281763 * cos[6.01064153805 + 78263.70942472259 * tau] +
0.00795525557 * cos[2.95989690096 + 52175.8062831484 * tau] +
0.07834131817 * cos[6.19233722599 + 26087.9031415742 * tau] +
0.39528271652 * cos[0.0 + 0.0 * tau];
R1 = 1e-11 * cos[6.10538330268 + 181659.72224941078 * tau] +
1e-11 * cos[4.92352598929 + 51596.1186961496 * tau] +
1e-11 * cos[5.60579347269 + 153084.84390447979 * tau] +
1e-11 * cos[5.50068575093 + 27819.0254945068 * tau] +
1e-11 * cos[5.10858625008 + 107679.74822257696 * tau] +
1e-11 * cos[5.07507945312 + 54824.2611086214 * tau] +
1e-11 * cos[0.55411127132 + 42790.9652750732 * tau] +
1e-11 * cos[1.44184009822 + 112545.88789950538 * tau] +
1e-11 * cos[2.2942790431 + 1485.9801210652 * tau] +
1e-11 * cos[0.63301837081 + 51439.92976961659 * tau] +
1e-11 * cos[6.16564988887 + 199599.31813847595 * tau] +
1e-11 * cos[1.79348974875 + 183145.01295611398 * tau] +
1e-11 * cos[0.0173753133 + 103814.80805420138 * tau] +
1e-11 * cos[3.68051221186 + 2703.6161546756 * tau] +
1e-11 * cos[4.89753750946 + 53265.515074342 * tau] +
1e-11 * cos[5.68864830775 + 3178.1457905676 * tau] +
1e-11 * cos[5.1982979368 + 142871.55835826878 * tau] +
1e-11 * cos[4.48187053152 + 231348.55332920236 * tau] +
1e-11 * cos[4.60636743786 + 126996.94076290558 * tau] +
1e-11 * cos[0.61515728295 + 78469.89497315978 * tau] +
1e-11 * cos[3.61827980669 + 106262.81204951399 * tau] +
1e-11 * cos[2.86790873835 + 38634.3850806572 * tau] +
1e-11 * cos[0.99962008973 + 163298.12945069079 * tau] +
1e-11 * cos[6.25857682168 + 50800.03248330259 * tau] +
1e-11 * cos[1.18658609813 + 8989.46770543239 * tau] +
1e-11 * cos[2.30344666604 + 50380.54783942739 * tau] +
1e-11 * cos[0.72186155433 + 27005.83342755599 * tau] +
1e-11 * cos[1.62346464256 + 128106.31931499895 * tau] +
1e-11 * cos[4.60745432488 + 156507.74908854539 * tau] +
1e-11 * cos[3.54450921353 + 78338.49102328988 * tau] +
1e-11 * cos[1.86269361791 + 45494.58142974879 * tau] +
1e-11 * cos[5.23954201903 + 99024.13645791399 * tau] +
1e-11 * cos[0.82072277702 + 51329.7234483972 * tau] +
1e-11 * cos[2.31427972623 + 179172.74704605396 * tau] +
1e-11 * cos[6.19695864555 + 241561.83887541336 * tau] +
1e-11 * cos[2.84174115238 + 168959.46149984296 * tau] +
1e-11 * cos[2.97981003623 + 78057.52387628538 * tau] +
1e-11 * cos[2.73690252229 + 170068.84005193636 * tau] +
1e-11 * cos[0.41026701894 + 636.9962720242 * tau] +
1e-11 * cos[5.6196302566 + 104197.83375581198 * tau] +
1e-11 * cos[0.68629642431 + 26102.1302355758 * tau] +
1e-11 * cos[3.6909155011 + 77307.42026875199 * tau] +
1e-11 * cos[5.0467220846 + 26247.2048763664 * tau] +
1e-11 * cos[3.33069384141 + 19.66976089979 * tau] +
1e-11 * cos[0.26342054765 + 1795.258443721 * tau] +
1e-11 * cos[2.13422641639 + 62197.64356324779 * tau] +
1e-11 * cos[3.82192552665 + 25928.601406782 * tau] +
1e-11 * cos[4.31601888279 + 50483.640613646 * tau] +
1e-11 * cos[0.00464768227 + 196137.07343261078 * tau] +
1e-11 * cos[0.85871789181 + 25985.94062330859 * tau] +
1e-11 * cos[1.50478057782 + 137210.22630911658 * tau] +
1e-11 * cos[3.43578051874 + 51841.950342379 * tau] +
1e-11 * cos[5.98062907857 + 106570.36967048359 * tau] +
1e-11 * cos[0.49331056411 + 104819.57755665119 * tau] +
1e-11 * cos[4.44457464944 + 6044.2285813754 * tau] +
1e-11 * cos[0.20823485438 + 54879.422437824 * tau] +
1e-11 * cos[2.52061585089 + 91919.56991589899 * tau] +
1e-11 * cos[2.3181898578 + 58220.0348645238 * tau] +
2e-11 * cos[2.99230815235 + 91805.13062721379 * tau] +
1e-11 * cos[3.09408892186 + 9384.8410080752 * tau] +
1e-11 * cos[3.49542841313 + 79315.97780791098 * tau] +
1e-11 * cos[5.76246998806 + 1375.7737998458 * tau] +
1e-11 * cos[2.7641982766 + 52812.8025551726 * tau] +
1e-11 * cos[3.67961974137 + 116783.65521669458 * tau] +
1e-11 * cos[4.54379329814 + 203041.89308344138 * tau] +
1e-11 * cos[2.07307900948 + 78188.92782615528 * tau] +
1e-11 * cos[5.83388253183 + 104275.34649502118 * tau] +
2e-11 * cos[0.58716824437 + 52065.59996192899 * tau] +
1e-11 * cos[1.98744571247 + 26411.4085582316 * tau] +
1e-11 * cos[0.74831854153 + 51534.3927214094 * tau] +
1e-11 * cos[0.08732855602 + 103718.82882698359 * tau] +
1e-11 * cos[1.6462517202 + 75930.51303185058 * tau] +
1e-11 * cos[5.78967137689 + 76152.05911134499 * tau] +
1e-11 * cos[1.38681194099 + 467.9649903544 * tau] +
1e-11 * cos[4.8837970192 + 205260.65018762815 * tau] +
1e-11 * cos[5.35146960556 + 1265.5674786264 * tau] +
1e-11 * cos[2.98248327032 + 846.0828347512 * tau] +
2e-11 * cos[3.42836265136 + 65717.22748563958 * tau] +
1e-11 * cos[3.42727473387 + 130435.63437251298 * tau] +
2e-11 * cos[2.61859360479 + 61560.64729122359 * tau] +
1e-11 * cos[1.68473271541 + 28286.9904848612 * tau] +
2e-11 * cos[0.35135879351 + 132028.58860315479 * tau] +
1e-11 * cos[0.62172861766 + 138319.60486120995 * tau] +
1e-11 * cos[0.63238768568 + 130459.18546877075 * tau] +
1e-11 * cos[0.51173156424 + 113341.08027172917 * tau] +
1e-11 * cos[5.62721081889 + 122444.98726584678 * tau] +
2e-11 * cos[1.13879447241 + 61165.27398858079 * tau] +
1e-11 * cos[3.57210475329 + 78786.28684281638 * tau] +
2e-11 * cos[1.98187462633 + 81604.32185142238 * tau] +
1e-11 * cos[0.3312846752 + 76571.54375522019 * tau] +
1e-11 * cos[3.92791860433 + 189386.03259226495 * tau] +
2e-11 * cos[2.89128653047 + 166740.70439565618 * tau] +
2e-11 * cos[4.08809950869 + 25466.159340735 * tau] +
1e-11 * cos[5.5566899571 + 220025.88923089796 * tau] +
1e-11 * cos[3.51165251141 + 26421.7590823436 * tau] +
1e-11 * cos[0.74294839995 + 78896.49316403578 * tau] +
1e-11 * cos[5.486640137 + 22625.658435709 * tau] +
1e-11 * cos[1.80796273878 + 25508.2155545754 * tau] +
2e-11 * cos[2.19277171383 + 103.0927742186 * tau] +
1e-11 * cos[4.48574397522 + 101703.15774082378 * tau] +
2e-11 * cos[4.47232796046 + 130432.40216087017 * tau] +
1e-11 * cos[1.29983905478 + 154194.22245657316 * tau] +
2e-11 * cos[6.17677089224 + 87367.61641884019 * tau] +
2e-11 * cos[1.27464400058 + 144916.86689107098 * tau] +
1e-11 * cos[6.20512620421 + 2333.196392872 * tau] +
2e-11 * cos[4.95650007002 + 24448.8336243862 * tau] +
2e-11 * cos[1.99970840056 + 17098.43543614181 * tau] +
1e-11 * cos[1.61844283111 + 24079.34560241519 * tau] +
2e-11 * cos[4.55507467591 + 132658.27281205778 * tau] +
1e-11 * cos[1.14751201091 + 55503.94193942859 * tau] +
2e-11 * cos[4.60111717878 + 25004.8229092806 * tau] +
2e-11 * cos[0.59313712363 + 74.7815985673 * tau] +
2e-11 * cos[3.12958128871 + 195047.36464141717 * tau] +
1e-11 * cos[4.84627694564 + 27170.98337386779 * tau] +
1e-11 * cos[5.85918351804 + 163766.09444104518 * tau] +
1e-11 * cos[3.75687703582 + 34082.4315835984 * tau] +
2e-11 * cos[1.80661945912 + 860.3099287528 * tau] +
2e-11 * cos[2.41579406356 + 147423.51185532758 * tau] +
2e-11 * cos[2.19163720361 + 26395.46076254379 * tau] +
2e-11 * cos[0.27866926 + 24356.7807886416 * tau] +
2e-11 * cos[1.23355180586 + 52286.01260436779 * tau] +
2e-11 * cos[2.8206637022 + 118828.96374949679 * tau] +
2e-11 * cos[5.00974264854 + 182188.72380014337 * tau] +
2e-11 * cos[2.93563622378 + 137678.19129947099 * tau] +
2e-11 * cos[5.31192385841 + 23384.2869868986 * tau] +
2e-11 * cos[2.50164995664 + 19202.75325164339 * tau] +
2e-11 * cos[4.99966961564 + 78800.51393681798 * tau] +
2e-11 * cos[1.11920130054 + 51315.49635439559 * tau] +
2e-11 * cos[4.77845331095 + 136722.59155786238 * tau] +
2e-11 * cos[3.36946627953 + 26575.53789282839 * tau] +
2e-11 * cos[0.40598906242 + 25773.71696170459 * tau] +
2e-11 * cos[1.99160321093 + 26189.8656598398 * tau] +
2e-11 * cos[5.89586766332 + 26312.2479372761 * tau] +
2e-11 * cos[1.78781584986 + 48847.6706268682 * tau] +
2e-11 * cos[2.00346690661 + 26073.67604757259 * tau] +
2e-11 * cos[1.95076646341 + 143005.66740785378 * tau] +
2e-11 * cos[2.71889214634 + 173511.41499690177 * tau] +
2e-11 * cos[4.55349965747 + 37698.4550999484 * tau] +
2e-11 * cos[5.40842531044 + 95247.70557217918 * tau] +
2e-11 * cos[1.33411828477 + 78257.08086582259 * tau] +
2e-11 * cos[5.32044002117 + 151199.94274106238 * tau] +
2e-11 * cos[1.68048369897 + 27250.37784598199 * tau] +
2e-11 * cos[1.10189365852 + 1223.81784077861 * tau] +
2e-11 * cos[4.33545610317 + 8194.2753332086 * tau] +
2e-11 * cos[6.0760153167 + 141762.17980617538 * tau] +
2e-11 * cos[5.68695965343 + 50264.6067999312 * tau] +
2e-11 * cos[1.88481234244 + 27177.6119327678 * tau] +
2e-11 * cos[5.77714525422 + 25600.26839032 * tau] +
2e-11 * cos[1.58212922198 + 26013.1215430069 * tau] +
2e-11 * cos[5.16106622649 + 26729.31670331319 * tau] +
2e-11 * cos[6.07737780217 + 94329.77528619739 * tau] +
2e-11 * cos[3.37039086197 + 2221.856634597 * tau] +
2e-11 * cos[5.37279792857 + 52278.89905736699 * tau] +
2e-11 * cos[2.5819014903 + 154938.34595416138 * tau] +
2e-11 * cos[1.7649293935 + 92741.06060792258 * tau] +
2e-11 * cos[3.62039658007 + 6885.14988993081 * tau] +
2e-11 * 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] +
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1.6e-10 * cos[1.92985195149 + 49842.60989027639 * tau] +
1.5e-10 * cos[1.41820144369 + 40565.2543247742 * tau] +
1.4e-10 * cos[0.47442483304 + 26137.8997634784 * tau] +
1.4e-10 * cos[3.82494343251 + 7880.08915333899 * tau] +
1.4e-10 * cos[4.25365079026 + 157636.79740153858 * tau] +
1.4e-10 * cos[4.91192145857 + 151975.46535238638 * tau] +
1.4e-10 * cos[2.30467577173 + 18207.81398823521 * tau] +
1.8e-10 * cos[3.79705759661 + 108903.56606335558 * tau] +
1.9e-10 * cos[2.51337817026 + 129909.82474277639 * tau] +
1.4e-10 * cos[0.06732488 + 25984.8103673556 * tau] +
2.0e-10 * cos[3.8710563228 + 51749.20809227239 * tau] +
1.8e-10 * cos[0.71897799959 + 78283.37918562238 * tau] +
1.5e-10 * cos[0.52406345582 + 42153.969003049 * tau] +
1.8e-10 * cos[2.04678515653 + 71492.99882347698 * tau] +
1.8e-10 * cos[1.10819559505 + 76144.94556434419 * tau] +
1.8e-10 * cos[4.13274028026 + 5327.4761083828 * tau] +
1.9e-10 * cos[2.69598918032 + 105307.21230790539 * tau] +
1.6e-10 * cos[4.3790892436 + 25131.61398560359 * tau] +
1.9e-10 * cos[5.28998871939 + 26624.70765366959 * tau] +
2.2e-10 * cos[4.62891777236 + 19406.6782881746 * tau] +
2.1e-10 * cos[3.45385724015 + 102762.53967101299 * tau] +
1.8e-10 * cos[1.81330190957 + 25565.3257234804 * tau] +
2.1e-10 * cos[0.15585183693 + 78477.00852016058 * tau] +
1.9e-10 * cos[3.58333941723 + 27140.17152476259 * tau] +
1.9e-10 * cos[1.76795970776 + 78050.41032928458 * tau] +
2.2e-10 * cos[0.45787269756 + 1596.1864422846 * tau] +
1.8e-10 * cos[3.06180224259 + 50593.84693486539 * tau] +
1.8e-10 * cos[4.60331561584 + 76044.9523205358 * tau] +
2.0e-10 * cos[0.61997291259 + 85034.42002596818 * tau] +
1.9e-10 * cos[2.3875625116 + 26037.90651966999 * tau] +
2.1e-10 * cos[0.18110422167 + 35191.8101356918 * tau] +
2.0e-10 * cos[0.47739908961 + 162188.75089859738 * tau] +
2.4e-10 * cos[2.43220296378 + 50579.61984086379 * tau] +
2.0e-10 * cos[4.41588880947 + 29416.03879785439 * tau] +
2.1e-10 * cos[0.4212676491 + 149.5631971346 * tau] +
2.0e-10 * cos[6.15988447425 + 213.299095438 * tau] +
2.4e-10 * cos[2.89897553229 + 105410.99449648599 * tau] +
2.5e-10 * cos[1.73460075205 + 853.196381752 * tau] +
2.1e-10 * cos[5.61140929496 + 120226.23016165999 * tau] +
2.1e-10 * cos[3.97119771059 + 98068.53671630539 * tau] +
2.8e-10 * cos[5.71652736884 + 77211.44104153418 * tau] +
2.1e-10 * cos[3.69266624882 + 77623.81213840858 * tau] +
2.1e-10 * cos[4.49565014938 + 78256.59587772179 * tau] +
2.4e-10 * cos[3.65673385174 + 26610.48055966799 * tau] +
2.3e-10 * cos[2.23954141042 + 103925.01437542078 * tau] +
2.2e-10 * cos[1.33669336918 + 51322.60990139639 * tau] +
2.3e-10 * cos[3.3842610754 + 58946.51688439399 * tau] +
2.2e-10 * cos[4.03528313026 + 419.4846438752 * tau] +
2.7e-10 * cos[4.06858086478 + 78270.82297172339 * tau] +
2.3e-10 * cos[3.86767325148 + 16066.0658614748 * tau] +
2.4e-10 * cos[1.47972864008 + 28206.6670019526 * tau] +
2.6e-10 * cos[6.195779404 + 77197.21394753258 * tau] +
2.5e-10 * cos[1.69043243445 + 25973.46385288896 * tau] +
2.5e-10 * cos[3.48592449926 + 117873.36400788819 * tau] +
2.7e-10 * cos[3.38666053174 + 103396.01282468818 * tau] +
3.0e-10 * cos[6.10884155937 + 26011.6370702986 * tau] +
2.6e-10 * cos[1.11551342052 + 155418.04029735178 * tau] +
2.9e-10 * cos[5.20529460359 + 78267.59076008058 * tau] +
3.0e-10 * cos[5.7208773684 + 51742.09454527159 * tau] +
2.7e-10 * cos[1.05480537311 + 28421.0995344462 * tau] +
2.7e-10 * cos[2.59555966553 + 155468.03691925599 * tau] +
2.9e-10 * cos[0.03524298861 + 79219.30916633119 * tau] +
3.0e-10 * cos[5.14555074991 + 51756.3216392732 * tau] +
2.8e-10 * cos[4.35951220773 + 80482.46652890938 * tau] +
3.3e-10 * cos[1.77322555881 + 124778.18365871879 * tau] +
3.5e-10 * cos[3.23888704617 + 25455.119402261 * tau] +
2.9e-10 * cos[2.9884790115 + 27154.3986187642 * tau] +
3.3e-10 * cos[3.55673853222 + 25440.89230825939 * tau] +
3.0e-10 * cos[1.24209931344 + 26202.34243025941 * tau] +
3.3e-10 * cos[5.36229697065 + 104881.30353139139 * tau] +
3.4e-10 * cos[3.55745328485 + 433.7117378768 * tau] +
3.0e-10 * cos[0.55604674983 + 3442.5749449654 * tau] +
3.1e-10 * cos[1.17911028239 + 59414.4818747484 * tau] +
3.0e-10 * cos[3.95444605179 + 26555.8681319286 * tau] +
3.2e-10 * cos[5.01820692941 + 46848.3301747656 * tau] +
3.3e-10 * cos[1.27507180487 + 131548.89425996438 * tau] +
3.2e-10 * cos[1.91760062435 + 58458.88213313979 * tau] +
4.1e-10 * cos[2.91943000674 + 26241.681952059 * tau] +
3.6e-10 * cos[4.81782090538 + 51116.4243529592 * tau] +
3.8e-10 * cos[5.17914668407 + 23754.70674870219 * tau] +
3.5e-10 * cos[0.81793649503 + 23439.44831610119 * tau] +
4.5e-10 * cos[5.73633413733 + 44181.27784112419 * tau] +
4.1e-10 * cos[5.74927951755 + 26727.8004278882 * tau] +
3.8e-10 * cos[1.84297739511 + 78244.0396638228 * tau] +
3.8e-10 * cos[0.09359107033 + 88476.99497093359 * tau] +
5.1e-10 * cos[6.02427997984 + 13655.8604911764 * tau] +
4.8e-10 * cos[0.72400634326 + 33967.99229491319 * tau] +
3.9e-10 * cos[3.50934954924 + 52602.4044740244 * tau] +
4.5e-10 * cos[4.04603530632 + 55618.3812281138 * tau] +
4.1e-10 * cos[1.87113963554 + 125887.56221081219 * tau] +
4.2e-10 * cos[5.39178421925 + 64741.95798313119 * tau] +
5.2e-10 * cos[2.63638299982 + 18093.37469954999 * tau] +
4.3e-10 * cos[5.84994474092 + 63498.47038145279 * tau] +
4.7e-10 * cos[5.52705163618 + 77837.11123384659 * tau] +
5.0e-10 * cos[5.76150579489 + 25938.3399444396 * tau] +
4.7e-10 * cos[3.82203240163 + 53764.8791784322 * tau] +
5.2e-10 * cos[5.71476972233 + 103821.92160120218 * tau] +
4.8e-10 * cos[0.51937745535 + 313054.83769889036 * tau] +
5.2e-10 * cos[5.77930503293 + 66941.04532641819 * tau] +
5.2e-10 * cos[3.43365769233 + 25551.09862947879 * tau] +
5.4e-10 * cos[6.22009952451 + 44937.1306915484 * tau] +
5.1e-10 * cos[4.71710385051 + 105460.99111839019 * tau] +
5.4e-10 * cos[0.89448628916 + 71980.63357473118 * tau] +
5.7e-10 * cos[1.92365363632 + 20760.4270331914 * tau] +
7.0e-10 * cos[5.28692696943 + 45405.0956819028 * tau] +
6.3e-10 * cos[1.29883580487 + 2218.7571041868 * tau] +
6.1e-10 * cos[0.73867692725 + 82815.66292178139 * tau] +
6.0e-10 * cos[6.25938912295 + 24505.94379329119 * tau] +
6.4e-10 * cos[5.09677055426 + 51962.5071877104 * tau] +
7.9e-10 * cos[3.35596277474 + 52389.1053785864 * tau] +
6.8e-10 * cos[1.18946361248 + 54394.56338733519 * tau] +
6.2e-10 * cos[3.70751240431 + 136100.84775702319 * tau] +
6.5e-10 * cos[2.12942233842 + 7.1135470008 * tau] +
6.4e-10 * cos[2.57311321703 + 94138.32702008578 * tau] +
7.8e-10 * cos[0.63585741399 + 52171.9249477904 * tau] +
6.8e-10 * cos[0.44378826429 + 91785.46086631398 * tau] +
9.2e-10 * cos[3.97747935513 + 52195.47604404819 * tau] +
9.1e-10 * cos[5.75408440781 + 24491.71669928959 * tau] +
7.6e-10 * cos[1.62577226881 + 15874.6175953632 * tau] +
7.2e-10 * cos[1.561708325 + 49957.0491789616 * tau] +
8.5e-10 * cos[2.50332044483 + 7238.6755916 * tau] +
8.2e-10 * cos[6.11445014523 + 79323.09135491178 * tau] +
1.07e-9 * cos[1.01316358023 + 52182.9198301492 * tau] +
7.8e-10 * cos[1.17633266287 + 76674.63652943878 * tau] +
9.3e-10 * cos[0.34539006564 + 77308.10968311399 * tau] +
8.4e-10 * cos[5.81442139422 + 129380.13377768178 * tau] +
8.4e-10 * cos[0.32848825294 + 1052.2683831884 * tau] +
1.06e-9 * cos[0.14583281261 + 12432.0426503978 * tau] +
9.1e-10 * cos[4.35481864546 + 129330.13715577759 * tau] +
9.1e-10 * cos[4.22099920434 + 50057.04242277 * tau] +
9.6e-10 * cos[5.03438502363 + 32370.9789915656 * tau] +
1.12e-9 * cos[4.78983902693 + 53131.406024757 * tau] +
9.2e-10 * cos[4.72811907093 + 2118.7638603784 * tau] +
1.20e-9 * cos[4.0656730086 + 45892.73043315699 * tau] +
1.04e-9 * cos[4.51477063494 + 25234.70675982219 * tau] +
1.06e-9 * cos[1.42997322881 + 52168.69273614759 * tau] +
1.23e-9 * cos[6.13795219131 + 1066.49547719 * tau] +
1.07e-9 * cos[5.12738291017 + 99799.65906923798 * tau] +
1.12e-9 * cos[5.00798069297 + 98690.28051714458 * tau] +
1.06e-9 * cos[1.31393069594 + 47623.8527860896 * tau] +
1.23e-9 * cos[2.65137961558 + 51123.53789995999 * tau] +
1.50e-9 * cos[2.60376479044 + 639.897286314 * tau] +
1.24e-9 * cos[3.13058661995 + 51109.31080595839 * tau] +
1.13e-9 * cos[2.33243126122 + 78793.40038981718 * tau] +
1.51e-9 * cos[2.66028539824 + 25654.19140369739 * tau] +
1.21e-9 * cos[2.15433834534 + 52179.6876185064 * tau] +
1.18e-9 * cos[0.51913709271 + 51535.90899683439 * tau] +
1.23e-9 * cos[2.07840148125 + 25668.418497699 * tau] +
1.22e-9 * cos[3.31361750281 + 62389.09182935939 * tau] +
1.40e-9 * cos[2.05736044462 + 6283.0758499914 * tau] +
1.32e-9 * cos[2.71837382155 + 77734.01845962799 * tau] +
1.50e-9 * cos[3.69230644689 + 65697.55772473979 * tau] +
1.85e-9 * cos[0.98966099528 + 29530.4780865396 * tau] +
1.54e-9 * cos[3.26437373895 + 38519.945791972 * tau] +
1.47e-9 * cos[2.32191248197 + 38654.05484155699 * tau] +
1.51e-9 * cos[0.4095365021 + 26514.5013324502 * tau] +
1.51e-9 * cos[2.83369443311 + 955.5997416086 * tau] +
1.52e-9 * cos[5.07389967152 + 52156.1365222486 * tau] +
1.63e-9 * cos[4.00380715262 + 79373.08797681599 * tau] +
1.74e-9 * cos[5.81264188702 + 68050.42387851159 * tau] +
1.84e-9 * cos[3.74837387583 + 286966.93455731616 * tau] +
2.07e-9 * cos[5.89082708705 + 31749.2351907264 * tau] +
1.89e-9 * cos[0.65681038131 + 110012.94461544899 * tau] +
2.18e-9 * cos[2.11865566044 + 73711.75592766379 * tau] +
1.96e-9 * cos[1.99924288764 + 48733.23133818299 * tau] +
2.05e-9 * cos[3.20844012088 + 18849.2275499742 * tau] +
1.97e-9 * cos[0.80026289238 + 27676.976036858 * tau] +
2.04e-9 * cos[3.44654782597 + 9103.9069941176 * tau] +
2.08e-9 * cos[2.74551899929 + 40853.142184844 * tau] +
2.15e-9 * cos[6.16660008496 + 51646.11531805379 * tau] +
2.35e-9 * cos[2.2405050326 + 25874.6040461362 * tau] +
2.15e-9 * cos[3.97996009773 + 56727.7597802072 * tau] +
2.23e-9 * cos[2.76528831516 + 103292.23063610759 * tau] +
3.32e-9 * cos[3.59235758173 + 51220.20654153979 * tau] +
2.64e-9 * cos[3.93160763696 + 6770.7106012456 * tau] +
3.16e-9 * cos[2.22791434675 + 19317.1925403286 * tau] +
3.26e-9 * cos[1.30033833957 + 103242.23401420339 * tau] +
2.90e-9 * cos[3.04044859601 + 53235.18821333759 * tau] +
3.25e-9 * cos[4.78747749132 + 23869.1460373874 * tau] +
3.40e-9 * cos[0.24111380317 + 26301.2022370122 * tau] +
3.47e-9 * cos[1.39524259509 + 23969.1392811958 * tau] +
3.58e-9 * cos[6.00165335616 + 33326.5787331742 * tau] +
4.53e-9 * cos[0.7280313725 + 529.6909650946 * tau] +
4.18e-9 * cos[2.7752141866 + 41962.5207369374 * tau] +
3.90e-9 * cos[3.81996185881 + 426.598190876 * tau] +
3.79e-9 * cos[1.95647626585 + 72602.37737557039 * tau] +
5.23e-9 * cos[0.06439941262 + 25021.4076643842 * tau] +
4.06e-9 * cos[5.60324652352 + 52705.49724824299 * tau] +
4.87e-9 * cos[4.23950195756 + 26095.016688575 * tau] +
4.43e-9 * cos[3.86758570847 + 26084.0218062162 * tau] +
4.72e-9 * cos[6.00507778421 + 77204.32749453338 * tau] +
4.29e-9 * cos[0.26260280461 + 36301.18868778519 * tau] +
4.36e-9 * cos[5.86659160961 + 25035.6347583858 * tau] +
4.35e-9 * cos[5.79043985706 + 43071.8992890308 * tau] +
5.33e-9 * cos[0.93587795381 + 26107.57290247399 * tau] +
6.06e-9 * cos[4.50215566301 + 28306.66024576099 * tau] +
5.07e-9 * cos[5.55466020276 + 12566.1516999828 * tau] +
5.16e-9 * cos[3.89421000089 + 83925.04147387479 * tau] +
5.72e-9 * cos[0.62751016416 + 13521.7514415914 * tau] +
5.32e-9 * cos[5.21855381213 + 22645.32819660879 * tau] +
5.15e-9 * cos[4.83662922562 + 50586.73338786459 * tau] +
5.72e-9 * cos[3.50125649521 + 10213.285546211 * tau] +
5.97e-9 * cos[4.64867954048 + 26080.78959457339 * tau] +
6.08e-9 * cos[3.65993973133 + 25448.00585526019 * tau] +
5.46e-9 * cos[5.38138962861 + 26091.7844769322 * tau] +
6.08e-9 * cos[0.85708468483 + 4551.9534970588 * tau] +
6.78e-9 * cos[2.0219388593 + 26068.2333806744 * tau] +
6.96e-9 * cos[0.69734796212 + 260879.03141574195 * tau] +
7.07e-9 * cos[0.92992556568 + 30639.856638633 * tau] +
8.63e-9 * cos[5.55308682281 + 25558.2121764796 * tau] +
7.12e-9 * cos[2.70884051645 + 16983.9961474566 * tau] +
7.36e-9 * cos[4.0688529657 + 1589.0728952838 * tau] +
7.42e-9 * cos[0.77751594919 + 32858.61374281979 * tau] +
9.35e-9 * cos[2.37277497611 + 25661.3049506982 * tau] +
8.41e-9 * cos[5.96261035419 + 14765.2390432698 * tau] +
1.177e-8 * cos[4.53194022227 + 77154.33087262919 * tau] +
1.005e-8 * cos[3.28272284427 + 37410.5672398786 * tau] +
1.120e-8 * cos[0.86374628388 + 57837.1383323006 * tau] +
1.271e-8 * cos[0.56437938715 + 25132.3033999656 * tau] +
1.090e-8 * cos[6.23733263925 + 27147.28507176339 * tau] +
1.241e-8 * cos[0.21246226135 + 11322.6640983044 * tau] +
1.295e-8 * cos[5.19094850935 + 46514.4742339962 * tau] +
1.417e-8 * cos[1.37876323533 + 1109.3785520934 * tau] +
1.542e-8 * cos[2.35659537465 + 27043.5028831828 * tau] +
1.546e-8 * cos[2.61849590442 + 26617.5941066688 * tau] +
1.963e-8 * cos[4.04524902962 + 5661.3320491522 * tau] +
2.011e-8 * cos[1.23911360588 + 53285.1848352418 * tau] +
2.498e-8 * cos[2.02623950395 + 24498.8302462904 * tau] +
2.650e-8 * cos[3.92968881423 + 234791.12827416777 * tau] +
3.133e-8 * cos[5.23846336855 + 21535.9496445154 * tau] +
3.510e-8 * cos[3.21171223697 + 1059.3819301892 * tau] +
4.393e-8 * cos[1.48074475165 + 51066.427731055 * tau] +
4.444e-8 * cos[2.13639058123 + 20426.571092422 * tau] +
8.086e-8 * cos[3.0054085489 + 25028.521211385 * tau] +
1.0154e-7 * cos[0.87893548494 + 208703.22513259358 * tau] +
1.7999e-7 * cos[4.7119372581 + 24978.5245894808 * tau] +
1.7760e-7 * cos[4.54424653085 + 27197.2816936676 * tau] +
3.9202e-7 * cos[4.11136751416 + 182615.32199101939 * tau] +
0.00000152851 * cos[1.0606077981 + 156527.41884944518 * tau] +
0.00000603996 * cos[4.29303116561 + 130439.51570787099 * tau] +
0.00001624367 * cos[0.0 + 0.0 * tau] +
0.00002432804 * cos[1.24226083435 + 104351.61256629678 * tau] +
0.00010094479 * cos[4.47466326316 + 78263.70942472259 * tau] +
0.00044141826 * cos[1.42385543975 + 52175.8062831484 * tau] +
0.00217347739 * cos[4.65617158663 + 26087.9031415742 * tau];
R2 = 1e-11 * cos[0.40812953108 + 77844.22478084739 * tau] +
1e-11 * cos[4.47600641528 + 97112.93697469679 * tau] +
1e-11 * cos[0.08695556653 + 26507.38778544939 * tau] +
1e-11 * cos[0.06932929209 + 48847.6706268682 * tau] +
1e-11 * cos[0.12176395772 + 6681.2248533996 * tau] +
1e-11 * cos[3.55161443787 + 116917.76426627958 * tau] +
1e-11 * cos[5.00501348827 + 51639.00177105299 * tau] +
1e-11 * cos[3.25491459524 + 46848.3301747656 * tau] +
1e-11 * cos[0.26591217377 + 89586.37352302698 * tau] +
1e-11 * cos[4.25105785914 + 65831.6667743248 * tau] +
1e-11 * cos[3.0701219029 + 104138.31347085879 * tau] +
1e-11 * cos[4.51335885923 + 12546.481939083 * tau] +
1e-11 * cos[2.42155941603 + 25551.09862947879 * tau] +
1e-11 * cos[0.02851648548 + 213.299095438 * tau] +
1e-11 * cos[4.43589881789 + 53242.3017603384 * tau] +
1e-11 * cos[4.69497491223 + 1581.959348283 * tau] +
1e-11 * cos[0.01631363612 + 25668.418497699 * tau] +
1e-11 * cos[2.02746284465 + 85034.42002596818 * tau] +
1e-11 * cos[3.95087871071 + 119116.85160956658 * tau] +
1e-11 * cos[2.75970257539 + 55503.94193942859 * tau] +
1e-11 * cos[0.3597788856 + 105307.21230790539 * tau] +
1e-11 * cos[3.62974919098 + 130012.91751699499 * tau] +
1e-11 * cos[1.15157832957 + 536.8045120954 * tau] +
1e-11 * cos[3.85620334673 + 26624.70765366959 * tau] +
1e-11 * cos[2.81808749734 + 54509.0026760204 * tau] +
1e-11 * cos[2.08096369099 + 26610.48055966799 * tau] +
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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 + 11764.330768859 * tau] +
1.71e-9 * cos[2.59623459612 + 20405.7956969296 * tau] +
1.99e-9 * cos[1.95301487982 + 7564.830720738 * tau] +
1.68e-9 * cos[5.19268384202 + 1066.49547719 * tau] +
1.98e-9 * cos[2.76491873243 + 10217.2176994741 * tau] +
1.76e-9 * cos[3.8240098246 + 9360.089164459 * tau] +
2.04e-9 * cos[4.09939796199 + 14919.0178537546 * tau] +
1.88e-9 * cos[2.82273639603 + 1385.8952763362 * tau] +
1.82e-9 * cos[4.98046042571 + 18418.01355326299 * tau] +
2.31e-9 * cos[5.23674429498 + 491.6632924588 * tau] +
2.50e-9 * cos[1.52909737354 + 6037.244203762 * tau] +
1.91e-9 * cos[2.49267248333 + 568.8218740274 * tau] +
2.19e-9 * cos[2.08775228014 + 194.9713844606 * tau] +
2.71e-9 * cos[4.95325404028 + 4214.0690150848 * tau] +
2.60e-9 * cos[5.65254501655 + 48739.859897083 * tau] +
2.74e-9 * cos[2.34929343 + 62883.3551395136 * tau] +
2.27e-9 * cos[4.18036609801 + 17468.8551979454 * tau] +
2.10e-9 * cos[0.12771800254 + 29.8214381488 * tau] +
2.89e-9 * cos[0.12342601246 + 20277.0078952874 * tau] +
2.14e-9 * cos[5.01663795092 + 639.897286314 * tau] +
2.63e-9 * cos[1.92311689852 + 37724.7534197482 * tau] +
2.25e-9 * cos[3.80080957016 + 8631.326197928 * tau] +
2.71e-9 * cos[0.8234891963 + 19793.7873531088 * tau] +
2.48e-9 * cos[1.60765612338 + 10497.1448650762 * tau] +
2.33e-9 * cos[2.76423842887 + 187.9251477626 * tau] +
2.64e-9 * cos[2.71608177583 + 11.0457002639 * tau] +
2.47e-9 * cos[4.80676426942 + 36147.4098773004 * tau] +
2.85e-9 * cos[0.40546033634 + 30.914125635 * tau] +
2.59e-9 * cos[0.4203117575 + 39264.0692895602 * tau] +
2.71e-9 * cos[4.66141338193 + 846.0828347512 * tau] +
3.66e-9 * cos[2.79972786028 + 11272.6674764002 * tau] +
3.63e-9 * cos[1.3047240669 + 9367.2027114598 * tau] +
3.22e-9 * cos[0.961384421 + 30666.1549584328 * tau] +
3.77e-9 * cos[0.73768791281 + 11506.7697697936 * tau] +
3.09e-9 * cos[3.79299100668 + 18204.71445782499 * tau] +
2.76e-9 * cos[0.50647429773 + 9830.3890139878 * tau] +
2.76e-9 * cos[4.33979180814 + 20809.4676246452 * tau] +
3.86e-9 * cos[3.88754165531 + 1975.492545856 * tau] +
3.20e-9 * cos[2.84811591194 + 10199.0584522094 * tau] +
3.89e-9 * cos[0.7321667224 + 19050.7972925762 * tau] +
3.86e-9 * cos[5.28120540405 + 47623.8527860896 * tau] +
3.61e-9 * cos[5.44371227904 + 19470.28193645139 * tau] +
3.71e-9 * cos[6.05370874275 + 20007.0864485468 * tau] +
3.75e-9 * cos[3.15657291896 + 19992.85935454519 * tau] +
4.13e-9 * cos[4.22381905655 + 44809.6502008634 * tau] +
3.60e-9 * cos[0.82477639126 + 22.7752014508 * tau] +
4.37e-9 * cos[0.91420135162 + 58953.145443294 * tau] +
4.00e-9 * cos[0.91999360201 + 227.476132789 * tau] +
3.25e-9 * cos[6.03020523465 + 18947.7045183576 * tau] +
4.18e-9 * cos[2.37865963521 + 32.5325507914 * tau] +
4.12e-9 * cos[2.56129670728 + 77.673770428 * tau] +
3.34e-9 * cos[5.51158557799 + 10251.3132188468 * tau] +
3.80e-9 * cos[3.79573358631 + 8521.1198767086 * tau] +
4.10e-9 * cos[4.93346326003 + 19264.0963880142 * tau] +
4.96e-9 * cos[0.44077356179 + 9835.9119382952 * tau] +
4.26e-9 * cos[2.06384083608 + 38204.687359371 * tau] +
3.65e-9 * cos[3.81715328784 + 20419.45754542119 * tau] +
3.82e-9 * cos[1.9211936548 + 3.9321532631 * tau] +
5.30e-9 * cos[0.71368442157 + 33794.5437235286 * tau] +
4.38e-9 * cos[2.49457071132 + 20956.2620575166 * tau] +
5.06e-9 * cos[5.26999314618 + 29999.959352319 * tau] +
5.23e-9 * cos[2.9051242687 + 20235.1228263104 * tau] +
3.87e-9 * cos[4.41665162999 + 21.8508293264 * tau] +
4.75e-9 * cos[0.97544690438 + 1052.2683831884 * tau] +
4.18e-9 * cos[5.6909779079 + 14765.2390432698 * tau] +
4.58e-9 * cos[5.2878636882 + 49.7570254718 * tau] +
4.21e-9 * cos[4.23407313457 + 39793.7602546548 * tau] +
5.69e-9 * cos[5.14001758731 + 27490.6924780448 * tau] +
4.22e-9 * cos[3.38413582674 + 10787.6303445458 * tau] +
4.51e-9 * cos[1.66320363626 + 26087.9031415742 * tau] +
4.34e-9 * cos[0.29028429049 + 9264.1099372412 * tau] +
4.27e-9 * cos[4.02335620501 + 14.2270940016 * tau] +
5.41e-9 * cos[0.62494922735 + 10007.0999977738 * tau] +
4.40e-9 * cos[5.61490649795 + 23958.6317852334 * tau] +
5.55e-9 * cos[5.88120421263 + 26735.9452622132 * tau] +
5.35e-9 * cos[4.6056959782 + 19573.37471066999 * tau] +
5.19e-9 * cos[4.1394565763 + 16522.6597160022 * tau] +
6.36e-9 * cos[2.79707392326 + 40879.4405046438 * tau] +
4.93e-9 * cos[2.04534833854 + 735.8765135318 * tau] +
4.87e-9 * cos[5.86917216517 + 10137.0194749354 * tau] +
5.63e-9 * cos[0.24172140474 + 37410.5672398786 * tau] +
4.94e-9 * cos[0.29761886866 + 7058.5984613154 * tau] +
6.93e-9 * cos[5.77432072851 + 55022.9357470744 * tau] +
6.97e-9 * cos[2.22359630727 + 348.924420448 * tau] +
6.11e-9 * cos[3.62010998629 + 7255.5696517344 * tau] +
6.20e-9 * cos[4.00681042667 + 9992.8729037722 * tau] +
6.01e-9 * cos[1.40500080774 + 1162.4747044078 * tau] +
6.27e-9 * cos[5.47281424954 + 9580.5018068978 * tau] +
5.16e-9 * cos[6.07328802561 + 38.1330356378 * tau] +
5.81e-9 * cos[4.80353237853 + 24150.080051345 * tau] +
5.81e-9 * cos[5.49288908804 + 6309.3741697912 * tau] +
5.87e-9 * cos[1.5864894929 + 6.62855890001 * tau] +
6.12e-9 * cos[0.36418385449 + 949.1756089698 * tau] +
5.84e-9 * cos[1.719006927 + 36.0278666774 * tau] +
7.05e-9 * cos[0.71229660616 + 220.4126424388 * tau] +
7.42e-9 * cos[3.96365892051 + 813.5502839598 * tau] +
8.53e-9 * cos[0.10404188453 + 2107.0345075424 * tau] +
8.62e-9 * cos[5.72705356405 + 10175.1525105732 * tau] +
6.22e-9 * cos[5.33659507738 + 9411.4646150872 * tau] +
7.56e-9 * cos[3.79022623226 + 9161.0171630226 * tau] +
8.11e-9 * cos[0.16685071959 + 12432.0426503978 * tau] +
7.11e-9 * cos[0.19750098222 + 18830.38465013739 * tau] +
8.35e-9 * cos[0.48050621092 + 20618.0193585336 * tau] +
6.91e-9 * cos[1.50594097883 + 27197.2816936676 * tau] +
9.20e-9 * cos[4.17128923588 + 18734.4054229196 * tau] +
6.96e-9 * cos[5.35698039414 + 10063.7223490764 * tau] +
8.69e-9 * cos[2.93767679827 + 10192.5101507186 * tau] +
7.27e-9 * cos[0.89048212541 + 467.9649903544 * tau] +
7.26e-9 * cos[1.67728773965 + 21202.093703746 * tau] +
1.018e-8 * cos[1.36891050752 + 36949.2308084242 * tau] +
7.68e-9 * cos[3.98260860494 + 18844.61174413899 * tau] +
1.010e-8 * cos[2.96092073452 + 135.62532501 * tau] +
9.00e-9 * cos[2.74195379617 + 41962.5207369374 * tau] +
8.29e-9 * cos[5.41196274578 + 27991.40181316 * tau] +
1.114e-8 * cos[4.35024775806 + 51092.7260508548 * tau] +
1.075e-8 * cos[1.09857593161 + 377.3736079158 * tau] +
1.104e-8 * cos[0.49781459714 + 1.4844727083 * tau] +
8.54e-9 * cos[2.34437926957 + 6681.2248533996 * tau] +
1.065e-8 * cos[4.41645258887 + 22805.7355659936 * tau] +
1.270e-8 * cos[4.69374306132 + 9050.8108418032 * tau] +
9.81e-9 * cos[1.65915064733 + 10103.0792249916 * tau] +
1.146e-8 * cos[4.54241454215 + 10220.3990932118 * tau] +
1.095e-8 * cos[0.49492867814 + 51066.427731055 * tau] +
9.81e-9 * cos[4.37930727798 + 110.2063212194 * tau] +
1.360e-8 * cos[2.41976595457 + 38734.3783244656 * tau] +
1.045e-8 * cos[0.5753921642 + 15874.6175953632 * tau] +
1.104e-8 * cos[2.58791423813 + 18849.2275499742 * tau] +
1.113e-8 * cos[1.52598846804 + 10426.584641649 * tau] +
1.306e-8 * cos[0.14519588607 + 9146.790069021 * tau] +
1.165e-8 * cos[2.88995128147 + 574.3447983348 * tau] +
1.179e-8 * cos[1.69491074791 + 20400.2727726222 * tau] +
1.152e-8 * cos[3.26229919481 + 11.729352836 * tau] +
1.238e-8 * cos[5.05581820608 + 20213.271996984 * tau] +
1.206e-8 * cos[0.30531303095 + 29864.334027309 * tau] +
1.221e-8 * cos[4.77931820602 + 30110.1656735384 * tau] +
1.694e-8 * cos[6.20694480406 + 33019.0211122046 * tau] +
1.243e-8 * cos[3.95452438599 + 170.6728706192 * tau] +
1.549e-8 * cos[4.205536543 + 3442.5749449654 * tau] +
1.247e-8 * cos[2.48433565896 + 17778.11626694899 * tau] +
1.492e-8 * cos[1.07513892753 + 9103.9069941176 * tau] +
1.851e-8 * cos[2.92898027939 + 47162.5163546352 * tau] +
1.658e-8 * cos[0.11252373292 + 153.7788104848 * tau] +
1.406e-8 * cos[2.71736996917 + 16983.9961474566 * tau] +
1.991e-8 * cos[4.04623390359 + 31749.2351907264 * tau] +
1.455e-8 * cos[2.44757248737 + 1589.0728952838 * tau] +
1.726e-8 * cos[5.59790693845 + 20452.8694122218 * tau] +
1.467e-8 * cos[2.42640162465 + 10234.0609417034 * tau] +
1.916e-8 * cos[4.56513949099 + 2218.7571041868 * tau] +
2.101e-8 * cos[2.90421302975 + 9967.4538999816 * tau] +
2.195e-8 * cos[2.32046770554 + 8094.5216858326 * tau] +
2.238e-8 * cos[5.52216925076 + 10138.5039476437 * tau] +
1.807e-8 * cos[3.15086214479 + 9573.388259897 * tau] +
1.858e-8 * cos[4.06129152783 + 2379.1644735716 * tau] +
2.230e-8 * cos[3.01413465913 + 18875.525869774 * tau] +
2.205e-8 * cos[2.70399309963 + 12592.4500197826 * tau] +
2.462e-8 * cos[0.53295178258 + 19360.07561523199 * tau] +
2.397e-8 * cos[3.45249688427 + 19374.3027092336 * tau] +
2.227e-8 * cos[4.9605922194 + 536.8045120954 * tau] +
2.217e-8 * cos[3.59623681714 + 24356.7807886416 * tau] +
2.976e-8 * cos[4.79415001304 + 29088.811415985 * tau] +
3.108e-8 * cos[1.50325806664 + 43232.3066584156 * tau] +
2.466e-8 * cos[3.61988676373 + 1551.045222648 * tau] +
2.796e-8 * cos[3.65128969074 + 206.1855484372 * tau] +
2.570e-8 * cos[1.20813474107 + 13936.794505134 * tau] +
3.798e-8 * cos[0.45524571743 + 10316.3783204296 * tau] +
3.825e-8 * cos[0.19612312903 + 426.598190876 * tau] +
3.016e-8 * cos[1.57249112496 + 17277.4069318338 * tau] +
2.891e-8 * cos[3.3378273777 + 32217.2001810808 * tau] +
3.755e-8 * cos[3.80208713127 + 19786.67380610799 * tau] +
3.496e-8 * cos[0.72414615705 + 3723.508958923 * tau] +
3.152e-8 * cos[0.72553551731 + 16496.3613962024 * tau] +
3.909e-8 * cos[4.0526363533 + 9690.7081281172 * tau] +
3.238e-8 * cos[5.39551036769 + 419.4846438752 * tau] +
3.642e-8 * cos[6.11733529325 + 3128.3887650958 * tau] +
4.318e-8 * cos[4.38289970585 + 316.3918696566 * tau] +
4.145e-8 * cos[1.14356412295 + 9676.4810341156 * tau] +
4.407e-8 * cos[4.02575374517 + 74.7815985673 * tau] +
3.763e-8 * cos[1.05304597315 + 19.66976089979 * tau] +
4.254e-8 * cos[5.36046113295 + 21535.9496445154 * tau] +
5.303e-8 * cos[0.08161426841 + 39302.096962196 * tau] +
3.863e-8 * cos[4.89351531412 + 25934.1243310894 * tau] +
5.526e-8 * cos[3.36797048901 + 25158.6017197654 * tau] +
4.608e-8 * cos[1.93302108394 + 4705.7323075436 * tau] +
5.010e-8 * cos[5.773751665 + 28521.0927782546 * tau] +
5.327e-8 * cos[3.03115417024 + 10021.8372800994 * tau] +
5.580e-8 * cos[0.48723384809 + 522.5774180938 * tau] +
4.651e-8 * cos[0.85218058876 + 6770.7106012456 * tau] +
5.959e-8 * cos[5.04792949464 + 245.8316462294 * tau] +
6.305e-8 * cos[0.3550633118 + 103.0927742186 * tau] +
5.048e-8 * cos[4.27886209626 + 29580.4747084438 * tau] +
7.047e-8 * cos[1.00111452053 + 632.7837393132 * tau] +
5.275e-8 * cos[5.01877102496 + 28286.9904848612 * tau] +
5.950e-8 * cos[2.96578175391 + 4732.0306273434 * tau] +
5.802e-8 * cos[1.93462125906 + 3340.6124266998 * tau] +
6.413e-8 * cos[2.17677652923 + 10988.808157535 * tau] +
6.688e-8 * cos[1.55310437864 + 14945.3161735544 * tau] +
6.821e-8 * cos[4.39733188968 + 8662.240323563 * tau] +
9.352e-8 * cos[4.94508904764 + 35371.8872659764 * tau] +
8.893e-8 * cos[1.97291388515 + 10186.9872264112 * tau] +
8.154e-8 * cos[1.92331359797 + 15.252471185 * tau] +
1.0105e-7 * cos[2.34270786693 + 10742.9765113056 * tau] +
1.1807e-7 * cos[1.91250672543 + 21228.3920235458 * tau] +
1.1599e-7 * cos[5.81007422699 + 19896.8801273274 * tau] +
9.231e-8 * cos[5.52471655579 + 12566.1516999828 * tau] +
1.0576e-7 * cos[0.85419784436 + 10596.1820784342 * tau] +
9.904e-8 * cos[1.08737710389 + 7064.1213856228 * tau] +
1.1048e-7 * cos[2.58361219075 + 9786.687355335 * tau] +
1.0955e-7 * cos[2.84562790076 + 18307.8072320436 * tau] +
1.7094e-7 * cos[3.5216152643 + 31441.6775697568 * tau] +
1.3656e-7 * cos[4.41336292334 + 3532.0606928114 * tau] +
1.8269e-7 * cos[3.04740408477 + 19999.97290154599 * tau] +
1.9069e-7 * cos[6.12025580313 + 29050.7837433492 * tau] +
1.5885e-7 * cos[1.50067222283 + 8635.9420037632 * tau] +
2.3739e-7 * cos[4.82870797552 + 6872.6731195112 * tau] +
1.8988e-7 * cos[4.13811500642 + 4551.9534970588 * tau] +
2.0492e-7 * cos[0.58547075036 + 38.0276726358 * tau] +
2.6260e-7 * cos[0.54067587552 + 17298.1823273262 * tau] +
2.4322e-7 * cos[4.27814493315 + 5.5229243074 * tau] +
2.0274e-7 * cos[3.79493637509 + 14143.4952424306 * tau] +
2.4424e-7 * cos[2.70177493852 + 8624.2126509272 * tau] +
2.9252e-7 * cos[3.51392387787 + 283.8593188652 * tau] +
3.0172e-7 * cos[4.9419191989 + 13745.3462390224 * tau] +
3.3252e-7 * cos[2.10025596509 + 27511.4678735372 * tau] +
2.9850e-7 * cos[4.02176977477 + 10239.5838660108 * tau] +
2.8479e-7 * cos[2.22375414002 + 1059.3819301892 * tau] +
2.9138e-7 * cos[3.59230925768 + 22003.9146348698 * tau] +
3.3893e-7 * cos[2.02347322198 + 6283.0758499914 * tau] +
3.5749e-7 * cos[2.70448479296 + 10206.1719992102 * tau] +
4.1177e-7 * cos[0.36240972161 + 382.8965322232 * tau] +
4.2635e-7 * cos[1.7995542168 + 7084.8967811152 * tau] +
4.2594e-7 * cos[5.3287333721 + 2352.8661537718 * tau] +
4.4574e-7 * cos[6.06282201966 + 40853.142184844 * tau] +
4.6111e-7 * cos[5.31576465717 + 18073.7049386502 * tau] +
5.0796e-7 * cos[0.24531603049 + 11322.6640983044 * tau] +
7.0239e-7 * cos[0.67458813282 + 23581.2581773176 * tau] +
5.6122e-7 * cos[4.24039855475 + 7.1135470008 * tau] +
7.1577e-7 * cos[0.11145739345 + 11015.1064773348 * tau] +
8.8031e-7 * cos[3.88868860307 + 9999.986450773 * tau] +
8.2094e-7 * cos[3.21596990826 + 18837.49819713819 * tau] +
9.8804e-7 * cos[5.39389655503 + 13367.9726311066 * tau] +
9.9121e-7 * cos[0.83288185132 + 213.299095438 * tau] +
8.5722e-7 * cos[0.35589249966 + 3154.6870848956 * tau] +
0.00000105547 * cos[1.53721191253 + 801.8209311238 * tau] +
0.00000127907 * cos[0.96209822685 + 5661.3320491522 * tau] +
0.00000155464 * cos[5.57043888948 + 19651.048481098 * tau] +
0.00000128263 * cos[4.22604493736 + 20.7753954924 * tau] +
0.00000179695 * cos[4.65337915578 + 1109.3785520934 * tau] +
0.00000231937 * cos[3.16251057072 + 9153.9036160218 * tau] +
0.00000326967 * cos[5.67736583705 + 5507.5532386674 * tau] +
0.00000429498 * cos[3.58642859752 + 19367.1891622328 * tau] +
0.00000326221 * cos[4.59056473097 + 10404.7338123226 * tau] +
0.00000499915 * cos[4.12340210074 + 15720.8387848784 * tau] +
0.00000769314 * cos[0.81629615911 + 9437.762934887 * tau] +
0.00000584836 * cos[3.99839884762 + 191.4482661116 * tau] +
0.00000707676 * cos[1.06466707214 + 775.522611324 * tau] +
0.0000076138 * cos[1.9501470212 + 529.6909650946 * tau] +
0.00001200521 * cos[6.15357115319 + 30639.856638633 * tau] +
0.00001438322 * cos[4.15745043958 + 9683.5945811164 * tau] +
0.00001664069 * cos[4.2501893503 + 1577.3435424478 * tau] +
0.00001317108 * cos[5.18668219093 + 26.2983197998 * tau] +
0.00002372061 * cos[2.99377539568 + 3930.2096962196 * tau] +
0.00003455732 * cos[2.69964470778 + 11790.6290886588 * tau] +
0.00005477201 * cos[4.41630652531 + 7860.4193924392 * tau] +
0.00089891645 * cos[5.30650048468 + 20426.571092422 * tau] +
0.01353968419 * cos[5.59313319619 + 10213.285546211 * tau] +
3.17614666774 * cos[0.0 + 0.0 * tau];
L1 = 3.1e-10 * cos[6.16829805337 + 10192.5101507186 * tau] +
2.5e-10 * cos[3.38876180652 + 7058.5984613154 * tau] +
3.7e-10 * cos[3.66792179278 + 20956.2620575166 * tau] +
3.7e-10 * cos[0.14190533464 + 29050.7837433492 * tau] +
3.6e-10 * cos[1.43280677914 + 42456.7840470916 * tau] +
3.9e-10 * cos[1.31040309875 + 48739.859897083 * tau] +
3.7e-10 * cos[1.08739100421 + 17085.9586657222 * tau] +
4.0e-10 * cos[2.16802870803 + 59728.668054618 * tau] +
4.0e-10 * cos[3.06358586355 + 813.5502839598 * tau] +
4.1e-10 * cos[0.36665992484 + 19999.97290154599 * tau] +
4.1e-10 * cos[4.47012768909 + 40077.61957352 * tau] +
5.5e-10 * cos[1.38351566741 + 38500.2760310722 * tau] +
5.3e-10 * cos[0.41974404621 + 30831.3049047446 * tau] +
3.9e-10 * cos[0.99375127466 + 94138.32702008578 * tau] +
4.4e-10 * cos[2.03114426076 + 18314.9207790444 * tau] +
4.6e-10 * cos[0.12586526756 + 57375.8019008462 * tau] +
4.7e-10 * cos[3.73567275749 + 64460.6986819614 * tau] +
4.3e-10 * cos[5.62725673544 + 14.2270940016 * tau] +
4.5e-10 * cos[0.02999265111 + 44809.6502008634 * tau] +
4.5e-10 * cos[2.34680401001 + 9411.4646150872 * tau] +
4.5e-10 * cos[5.59492908223 + 467.9649903544 * tau] +
5.1e-10 * cos[5.45979584751 + 60530.4889857418 * tau] +
4.6e-10 * cos[2.93422086586 + 27682.1407441564 * tau] +
5.0e-10 * cos[4.37549274002 + 28513.97923125379 * tau] +
4.6e-10 * cos[0.05105081843 + 38526.574350872 * tau] +
4.7e-10 * cos[2.63299859494 + 51868.2486621788 * tau] +
4.8e-10 * cos[6.00565977593 + 283.8593188652 * tau] +
4.9e-10 * cos[0.77345264124 + 35371.8872659764 * tau] +
5.0e-10 * cos[5.69803054279 + 39793.7602546548 * tau] +
5.5e-10 * cos[2.63906959481 + 52670.0695933026 * tau] +
5.3e-10 * cos[4.30231233835 + 18849.2275499742 * tau] +
6.1e-10 * cos[5.66161679402 + 17468.8551979454 * tau] +
6.5e-10 * cos[4.21150522641 + 49.7570254718 * tau] +
5.5e-10 * cos[1.33161298098 + 18300.69368504279 * tau] +
7.3e-10 * cos[1.31083648835 + 11272.6674764002 * tau] +
6.5e-10 * cos[2.10322000074 + 74.7815985673 * tau] +
5.7e-10 * cos[3.59399518494 + 735.8765135318 * tau] +
5.7e-10 * cos[5.39355890141 + 20419.45754542119 * tau] +
5.8e-10 * cos[3.74010494151 + 1066.49547719 * tau] +
6.3e-10 * cos[5.04865067599 + 53445.5922046266 * tau] +
6.1e-10 * cos[4.96121014691 + 34596.3646546524 * tau] +
6.2e-10 * cos[4.7769845465 + 3914.9572250346 * tau] +
6.5e-10 * cos[1.08206062736 + 68050.42387851159 * tau] +
6.9e-10 * cos[1.73648747605 + 37410.5672398786 * tau] +
7.1e-10 * cos[4.3362880685 + 39264.0692895602 * tau] +
7.0e-10 * cos[4.03868009742 + 56600.2792895222 * tau] +
6.4e-10 * cos[2.99454749109 + 27197.2816936676 * tau] +
6.4e-10 * cos[4.24772678145 + 153.7788104848 * tau] +
6.7e-10 * cos[5.81350818057 + 20809.4676246452 * tau] +
6.7e-10 * cos[3.54815262526 + 30666.1549584328 * tau] +
7.3e-10 * cos[4.75280755154 + 40879.4405046438 * tau] +
8.7e-10 * cos[3.82284200928 + 27511.4678735372 * tau] +
9.1e-10 * cos[2.60544242067 + 1052.2683831884 * tau] +
7.6e-10 * cos[2.93363913259 + 38204.687359371 * tau] +
9.7e-10 * cos[5.67942873241 + 227.476132789 * tau] +
8.9e-10 * cos[5.65756996753 + 377.3736079158 * tau] +
8.7e-10 * cos[5.25157021446 + 14128.2427712456 * tau] +
9.3e-10 * cos[1.79250830018 + 12432.0426503978 * tau] +
8.1e-10 * cos[0.01896422336 + 24150.080051345 * tau] +
9.0e-10 * cos[4.34075776744 + 29057.89729034999 * tau] +
1.02e-9 * cos[4.27051236894 + 15874.6175953632 * tau] +
9.2e-10 * cos[4.82530051729 + 29043.67019634839 * tau] +
8.1e-10 * cos[0.46468679835 + 77.673770428 * tau] +
9.8e-10 * cos[2.42401801881 + 23581.2581773176 * tau] +
8.8e-10 * cos[3.63836700262 + 49515.382508407 * tau] +
9.9e-10 * cos[0.61079620895 + 41654.9631159678 * tau] +
8.4e-10 * cos[3.50355880173 + 639.897286314 * tau] +
8.8e-10 * cos[2.62613816931 + 21.8508293264 * tau] +
1.03e-9 * cos[2.01549383816 + 45585.1728121874 * tau] +
8.5e-10 * cos[5.04808202087 + 9830.3890139878 * tau] +
1.03e-9 * cos[2.62610244425 + 20213.271996984 * tau] +
1.20e-9 * cos[5.41870615047 + 37724.7534197482 * tau] +
9.8e-10 * cos[5.07711736751 + 135.62532501 * tau] +
1.14e-9 * cos[4.36384000196 + 20007.0864485468 * tau] +
1.06e-9 * cos[3.34507236765 + 10103.0792249916 * tau] +
1.12e-9 * cos[3.31796669604 + 36949.2308084242 * tau] +
1.22e-9 * cos[4.84805105466 + 19992.85935454519 * tau] +
1.09e-9 * cos[0.78612823474 + 6681.2248533996 * tau] +
1.09e-9 * cos[2.25388616761 + 26735.9452622132 * tau] +
1.21e-9 * cos[0.51392111799 + 21535.9496445154 * tau] +
1.53e-9 * cos[4.01743770323 + 33794.5437235286 * tau] +
1.51e-9 * cos[0.03422618975 + 27991.40181316 * tau] +
1.55e-9 * cos[5.90500835975 + 12592.4500197826 * tau] +
1.36e-9 * cos[0.88942869764 + 22805.7355659936 * tau] +
1.59e-9 * cos[5.23851679605 + 10007.0999977738 * tau] +
1.39e-9 * cos[2.99154379541 + 110.2063212194 * tau] +
1.89e-9 * cos[1.43553862242 + 2379.1644735716 * tau] +
1.48e-9 * cos[3.4640441813 + 21202.093703746 * tau] +
1.47e-9 * cos[4.25008782855 + 16983.9961474566 * tau] +
2.08e-9 * cos[3.38876526854 + 17778.11626694899 * tau] +
2.14e-9 * cos[2.70027196648 + 3128.3887650958 * tau] +
1.77e-9 * cos[5.70206821967 + 9992.8729037722 * tau] +
1.86e-9 * cos[5.13678812068 + 7255.5696517344 * tau] +
1.64e-9 * cos[4.92240093026 + 10426.584641649 * tau] +
2.09e-9 * cos[2.66033422116 + 3442.5749449654 * tau] +
1.77e-9 * cos[1.88170417337 + 33019.0211122046 * tau] +
2.11e-9 * cos[2.71884568392 + 15720.8387848784 * tau] +
1.88e-9 * cos[1.62614804098 + 9161.0171630226 * tau] +
1.78e-9 * cos[4.90042854659 + 10787.6303445458 * tau] +
1.87e-9 * cos[5.49670351645 + 170.6728706192 * tau] +
1.95e-9 * cos[6.23142464829 + 30110.1656735384 * tau] +
1.88e-9 * cos[0.39123199129 + 19573.37471066999 * tau] +
2.17e-9 * cos[5.79472589364 + 9103.9069941176 * tau] +
1.97e-9 * cos[2.09222675324 + 9683.5945811164 * tau] +
2.58e-9 * cos[6.27611355094 + 1551.045222648 * tau] +
1.98e-9 * cos[1.89506914939 + 20452.8694122218 * tau] +
2.16e-9 * cos[5.8861892303 + 18875.525869774 * tau] +
2.12e-9 * cos[0.241736776 + 36.0278666774 * tau] +
2.06e-9 * cos[0.97167234723 + 10234.0609417034 * tau] +
2.87e-9 * cos[1.84003536598 + 1589.0728952838 * tau] +
3.01e-9 * cos[3.64457981649 + 20400.2727726222 * tau] +
3.00e-9 * cos[3.76014360906 + 8094.5216858326 * tau] +
2.54e-9 * cos[0.34411959301 + 28521.0927782546 * tau] +
2.64e-9 * cos[5.20407029554 + 220.4126424388 * tau] +
3.24e-9 * cos[2.14144542781 + 9999.986450773 * tau] +
2.73e-9 * cos[5.84415407168 + 9573.388259897 * tau] +
2.92e-9 * cos[0.43528982259 + 29088.811415985 * tau] +
3.83e-9 * cos[0.13890934755 + 4732.0306273434 * tau] +
2.86e-9 * cos[3.08459438435 + 17277.4069318338 * tau] +
2.78e-9 * cos[2.20429108375 + 18844.61174413899 * tau] +
3.70e-9 * cos[6.16895004656 + 2218.7571041868 * tau] +
3.24e-9 * cos[1.80146948625 + 18830.38465013739 * tau] +
3.24e-9 * cos[5.10759068171 + 24356.7807886416 * tau] +
3.14e-9 * cos[0.96837035284 + 20618.0193585336 * tau] +
4.43e-9 * cos[1.93864353398 + 9146.790069021 * tau] +
3.24e-9 * cos[1.40308439067 + 29580.4747084438 * tau] +
3.53e-9 * cos[2.22195492336 + 51066.427731055 * tau] +
4.49e-9 * cos[1.44520508753 + 8662.240323563 * tau] +
3.59e-9 * cos[0.72354778897 + 419.4846438752 * tau] +
4.07e-9 * cos[2.94002049006 + 10220.3990932118 * tau] +
4.04e-9 * cos[2.85003595942 + 29864.334027309 * tau] +
4.08e-9 * cos[4.80890663927 + 32217.2001810808 * tau] +
4.78e-9 * cos[4.70234715828 + 14945.3161735544 * tau] +
5.49e-9 * cos[6.08792865644 + 3930.2096962196 * tau] +
4.21e-9 * cos[2.71057839701 + 13936.794505134 * tau] +
5.64e-9 * cos[0.38776462529 + 19367.1891622328 * tau] +
4.34e-9 * cos[5.91094755233 + 19786.67380610799 * tau] +
4.32e-9 * cos[1.32004964493 + 103.0927742186 * tau] +
4.50e-9 * cos[0.212798446 + 11.729352836 * tau] +
4.88e-9 * cos[5.22311611589 + 25158.6017197654 * tau] +
5.01e-9 * cos[3.08578363577 + 245.8316462294 * tau] +
4.82e-9 * cos[0.40815793538 + 3340.6124266998 * tau] +
5.76e-9 * cos[5.41170044566 + 206.1855484372 * tau] +
5.40e-9 * cos[2.15936134728 + 16496.3613962024 * tau] +
5.32e-9 * cos[4.4157613089 + 574.3447983348 * tau] +
6.90e-9 * cos[4.01873754171 + 19651.048481098 * tau] +
5.38e-9 * cos[1.52023264138 + 25934.1243310894 * tau] +
5.75e-9 * cos[2.38792087791 + 6770.7106012456 * tau] +
7.02e-9 * cos[1.76206343944 + 19374.3027092336 * tau] +
7.33e-9 * cos[2.22147883292 + 19360.07561523199 * tau] +
6.65e-9 * cos[0.21346689192 + 7860.4193924392 * tau] +
7.04e-9 * cos[5.95307260017 + 20.7753954924 * tau] +
7.97e-9 * cos[2.23891816523 + 3723.508958923 * tau] +
9.29e-9 * cos[1.08024621325 + 11790.6290886588 * tau] +
8.16e-9 * cos[1.27303930175 + 19896.8801273274 * tau] +
7.44e-9 * cos[3.33129778857 + 536.8045120954 * tau] +
7.28e-9 * cos[0.10716917942 + 4705.7323075436 * tau] +
8.21e-9 * cos[2.60456032773 + 19.66976089979 * tau] +
8.24e-9 * cos[0.23090829723 + 28286.9904848612 * tau] +
9.08e-9 * cos[1.06613723738 + 10021.8372800994 * tau] +
8.44e-9 * cos[4.75124127613 + 10988.808157535 * tau] +
9.71e-9 * cos[6.10590045414 + 3532.0606928114 * tau] +
1.031e-8 * cos[2.03889374176 + 38.0276726358 * tau] +
1.101e-8 * cos[3.74248783564 + 18307.8072320436 * tau] +
1.150e-8 * cos[0.81088598778 + 10742.9765113056 * tau] +
1.219e-8 * cos[2.27324315182 + 522.5774180938 * tau] +
1.150e-8 * cos[2.35531987378 + 9690.7081281172 * tau] +
1.006e-8 * cos[4.26200749078 + 426.598190876 * tau] +
1.116e-8 * cos[3.83715584719 + 21228.3920235458 * tau] +
1.219e-8 * cos[2.83617320088 + 9676.4810341156 * tau] +
1.237e-8 * cos[2.59740787132 + 4551.9534970588 * tau] +
1.474e-8 * cos[5.92236241437 + 9786.687355335 * tau] +
1.311e-8 * cos[0.90408820221 + 12566.1516999828 * tau] +
1.473e-8 * cos[2.59350470099 + 7064.1213856228 * tau] +
1.527e-8 * cos[0.67146857292 + 14143.4952424306 * tau] +
2.122e-8 * cos[4.47091605309 + 8624.2126509272 * tau] +
2.209e-8 * cos[2.07730338665 + 8635.9420037632 * tau] +
1.720e-8 * cos[4.72129626061 + 10186.9872264112 * tau] +
2.405e-8 * cos[2.36085282088 + 10596.1820784342 * tau] +
2.344e-8 * cos[2.36652432105 + 17298.1823273262 * tau] +
2.951e-8 * cos[5.34618097429 + 7084.8967811152 * tau] +
2.774e-8 * cos[1.45683830639 + 10239.5838660108 * tau] +
2.563e-8 * cos[0.35147506973 + 22003.9146348698 * tau] +
3.000e-8 * cos[0.39169917698 + 15.252471185 * tau] +
3.023e-8 * cos[2.24092938317 + 18073.7049386502 * tau] +
3.555e-8 * cos[1.4803694942 + 1059.3819301892 * tau] +
3.694e-8 * cos[2.48453945256 + 5661.3320491522 * tau] +
4.290e-8 * cos[0.0815480921 + 6283.0758499914 * tau] +
3.448e-8 * cos[1.77405651704 + 11322.6640983044 * tau] +
3.549e-8 * cos[6.19934345402 + 5.5229243074 * tau] +
4.882e-8 * cos[3.44515199115 + 11015.1064773348 * tau] +
4.084e-8 * cos[4.1210382603 + 18837.49819713819 * tau] +
6.697e-8 * cos[5.05673427795 + 801.8209311238 * tau] +
6.255e-8 * cos[4.08056644034 + 3154.6870848956 * tau] +
6.552e-8 * cos[2.28168808058 + 2352.8661537718 * tau] +
7.374e-8 * cos[4.3947676058 + 10206.1719992102 * tau] +
8.869e-8 * cos[0.95282732248 + 13367.9726311066 * tau] +
1.2563e-7 * cos[1.88122199199 + 382.8965322232 * tau] +
1.1627e-7 * cos[4.97604495371 + 213.299095438 * tau] +
1.2607e-7 * cos[1.24464400689 + 40853.142184844 * tau] +
1.4230e-7 * cos[5.45138233941 + 9153.9036160218 * tau] +
1.6510e-7 * cos[2.6433045264 + 7.1135470008 * tau] +
1.7772e-7 * cos[6.19369798901 + 1109.3785520934 * tau] +
2.5056e-7 * cos[6.10664792855 + 10404.7338123226 * tau] +
2.9633e-7 * cos[1.25056322354 + 5507.5532386674 * tau] +
3.8318e-7 * cos[1.03379038025 + 529.6909650946 * tau] +
5.2408e-7 * cos[3.60013087656 + 775.522611324 * tau] +
6.9734e-7 * cos[2.68136034979 + 9437.762934887 * tau] +
8.2233e-7 * cos[5.7023413373 + 191.4482661116 * tau] +
0.00000173904 * cos[2.65535879443 + 26.2983197998 * tau] +
0.00000151669 * cos[6.10635282369 + 1577.3435424478 * tau] +
0.00000213374 * cos[1.79547929368 + 30639.856638633 * tau] +
0.00014444977 * cos[0.51624564679 + 20426.571092422 * tau] +
0.00095707712 * cos[2.46424448979 + 10213.285546211 * tau] +
10213.52943052898 * cos[0.0 + 0.0 * tau];
L2 = 1.4e-10 * cos[3.6920522501 + 27511.4678735372 * tau] +
1.3e-10 * cos[5.79700427846 + 29580.4747084438 * tau] +
1.3e-10 * cos[4.72171283479 + 29864.334027309 * tau] +
1.4e-10 * cos[1.49084059765 + 30110.1656735384 * tau] +
1.9e-10 * cos[1.53770232218 + 28286.9904848612 * tau] +
1.8e-10 * cos[0.74039763161 + 25158.6017197654 * tau] +
2.2e-10 * cos[4.73565067573 + 10988.808157535 * tau] +
2.4e-10 * cos[0.14022912457 + 21202.093703746 * tau] +
3.3e-10 * cos[1.80059867635 + 20618.0193585336 * tau] +
2.9e-10 * cos[0.19383091192 + 19896.8801273274 * tau] +
3.1e-10 * cos[4.74511706231 + 28521.0927782546 * tau] +
3.5e-10 * cos[3.47325394141 + 24356.7807886416 * tau] +
3.5e-10 * cos[5.17462577483 + 29088.811415985 * tau] +
3.6e-10 * cos[3.16242472203 + 20452.8694122218 * tau] +
3.9e-10 * cos[5.05391675878 + 10742.9765113056 * tau] +
3.8e-10 * cos[0.52232581277 + 1551.045222648 * tau] +
4.7e-10 * cos[0.18498155367 + 18875.525869774 * tau] +
4.3e-10 * cos[5.98371820588 + 15720.8387848784 * tau] +
4.1e-10 * cos[3.36020411807 + 4705.7323075436 * tau] +
4.1e-10 * cos[3.83822107919 + 16496.3613962024 * tau] +
5.1e-10 * cos[4.52870390511 + 22003.9146348698 * tau] +
5.8e-10 * cos[5.1326370967 + 20400.2727726222 * tau] +
6.0e-10 * cos[5.02186497542 + 19367.1891622328 * tau] +
5.6e-10 * cos[6.26920407723 + 32217.2001810808 * tau] +
5.6e-10 * cos[4.11564786973 + 7064.1213856228 * tau] +
6.3e-10 * cos[5.39882267787 + 21228.3920235458 * tau] +
7.7e-10 * cos[3.75728548372 + 3723.508958923 * tau] +
8.2e-10 * cos[5.36280178643 + 10186.9872264112 * tau] +
6.9e-10 * cos[3.8640906586 + 51066.427731055 * tau] +
9.3e-10 * cos[4.99316908815 + 14945.3161735544 * tau] +
7.4e-10 * cos[2.35354025573 + 426.598190876 * tau] +
8.4e-10 * cos[4.89744332968 + 18307.8072320436 * tau] +
9.3e-10 * cos[5.48716819776 + 10021.8372800994 * tau] +
1.08e-9 * cos[2.25352052666 + 12566.1516999828 * tau] +
1.07e-9 * cos[0.35660030184 + 1059.3819301892 * tau] +
1.22e-9 * cos[5.92478855457 + 574.3447983348 * tau] +
1.26e-9 * cos[0.0985451614 + 18073.7049386502 * tau] +
1.19e-9 * cos[3.39375528828 + 11322.6640983044 * tau] +
1.34e-9 * cos[4.10529011674 + 17298.1823273262 * tau] +
1.40e-9 * cos[4.97015671653 + 14143.4952424306 * tau] +
1.94e-9 * cos[6.0119775947 + 7860.4193924392 * tau] +
1.96e-9 * cos[4.10467294392 + 11790.6290886588 * tau] +
2.43e-9 * cos[4.70747902991 + 6283.0758499914 * tau] +
2.60e-9 * cos[0.22761369281 + 2352.8661537718 * tau] +
2.12e-9 * cos[5.32697688872 + 18837.49819713819 * tau] +
3.01e-9 * cos[3.90047984197 + 10596.1820784342 * tau] +
3.55e-9 * cos[1.12061570874 + 9153.9036160218 * tau] +
3.89e-9 * cos[4.14116341739 + 8635.9420037632 * tau] +
4.31e-9 * cos[2.67159914364 + 13367.9726311066 * tau] +
6.02e-9 * cos[5.19220099775 + 7084.8967811152 * tau] +
5.78e-9 * cos[0.92614279843 + 10239.5838660108 * tau] +
5.25e-9 * cos[3.32087042103 + 213.299095438 * tau] +
7.42e-9 * cos[1.49198584483 + 1109.3785520934 * tau] +
9.55e-9 * cos[5.11133878923 + 801.8209311238 * tau] +
1.033e-8 * cos[3.52858472904 + 11015.1064773348 * tau] +
1.221e-8 * cos[3.73339139385 + 3154.6870848956 * tau] +
1.025e-8 * cos[1.40598904981 + 10404.7338123226 * tau] +
1.346e-8 * cos[2.94633106219 + 5507.5532386674 * tau] +
1.460e-8 * cos[6.04899046273 + 529.6909650946 * tau] +
1.934e-8 * cos[3.39287946981 + 382.8965322232 * tau] +
2.125e-8 * cos[2.65810625752 + 40853.142184844 * tau] +
3.163e-8 * cos[4.36095475762 + 9437.762934887 * tau] +
6.014e-8 * cos[0.99926757893 + 191.4482661116 * tau] +
7.046e-8 * cos[1.51962593409 + 1577.3435424478 * tau] +
9.984e-8 * cos[3.97130221102 + 775.522611324 * tau] +
1.9331e-7 * cos[3.53527371458 + 30639.856638633 * tau] +
2.3836e-7 * cos[2.04592119012 + 26.2983197998 * tau] +
0.0000133788 * cos[2.02011286082 + 20426.571092422 * tau] +
0.0000389146 * cos[0.34514360047 + 10213.285546211 * tau] +
0.00054127076 * cos[0.0 + 0.0 * tau];
L3 = 6e-11 * cos[5.76447068962 + 10239.5838660108 * tau] +
6e-11 * cos[1.27791479726 + 10404.7338123226 * tau] +
8e-11 * cos[1.40501229148 + 1577.3435424478 * tau] +
8e-11 * cos[5.55523563261 + 51066.427731055 * tau] +
2.54e-9 * cos[4.15021671822 + 40853.142184844 * tau] +
1.214e-8 * cos[5.31970006917 + 30639.856638633 * tau] +
2.6023e-7 * cos[0.0 + 0.0 * tau] +
7.7846e-7 * cos[3.66876371591 + 20426.571092422 * tau] +
0.00000135742 * cos[4.80389020993 + 10213.285546211 * tau];
L4 = 2.3e-10 * cos[5.68127607034 + 40853.142184844 * tau] +
5.0e-10 * cos[0.71356059861 + 30639.856638633 * tau] +
1.714e-8 * cos[2.51099591706 + 10213.285546211 * tau] +
3.209e-8 * cos[5.20514170164 + 20426.571092422 * tau] +
0.00000114016 * cos[3.14159265359 + 0.0 * tau];
L5 = 2e-11 * cos[1.89460223529 + 30639.856638633 * tau] +
2e-11 * cos[1.07734277826 + 40853.142184844 * tau] +
1.18e-9 * cos[1.90548541922 + 10213.285546211 * tau] +
1.17e-9 * cos[0.54643013 + 20426.571092422 * tau] +
8.74e-9 * cos[3.14159265359 + 0.0 * tau];
B0 = 5.1e-10 * cos[5.29186795569 + 29587.5882554446 * tau] +
4.0e-10 * cos[5.32101847424 + 42430.4857272918 * tau] +
5.4e-10 * cos[5.89684197257 + 19903.99367432819 * tau] +
4.7e-10 * cos[1.61630288856 + 30831.3049047446 * tau] +
5.2e-10 * cos[4.76610409132 + 57375.8019008462 * tau] +
5.2e-10 * cos[2.37192464233 + 29573.361161443 * tau] +
5.7e-10 * cos[2.30081371235 + 20529.66386664059 * tau] +
5.1e-10 * cos[3.07811180039 + 24150.080051345 * tau] +
6.1e-10 * cos[3.40726181591 + 27490.6924780448 * tau] +
6.6e-10 * cos[2.24746237999 + 74.7815985673 * tau] +
6.0e-10 * cos[5.8966189292 + 41962.5207369374 * tau] +
5.5e-10 * cos[4.70485939861 + 639.897286314 * tau] +
5.4e-10 * cos[1.78260668333 + 40077.61957352 * tau] +
5.8e-10 * cos[2.98524209824 + 19889.76658032659 * tau] +
6.4e-10 * cos[5.83569051301 + 2118.7638603784 * tau] +
5.8e-10 * cos[2.14482855875 + 8631.326197928 * tau] +
7.5e-10 * cos[2.27327165974 + 8521.1198767086 * tau] +
7.5e-10 * cos[0.36155638007 + 39302.096962196 * tau] +
6.6e-10 * cos[0.76731351736 + 20.7753954924 * tau] +
6.8e-10 * cos[2.7176293667 + 16983.9961474566 * tau] +
8.0e-10 * cos[5.62254102739 + 29999.959352319 * tau] +
9.4e-10 * cos[0.17063414792 + 6872.6731195112 * tau] +
9.7e-10 * cos[0.772950916 + 18307.8072320436 * tau] +
8.1e-10 * cos[2.26235214191 + 3903.9113764198 * tau] +
8.5e-10 * cos[3.82784790321 + 51868.2486621788 * tau] +
9.1e-10 * cos[2.48874147947 + 10846.0692855242 * tau] +
8.0e-10 * cos[4.23724598221 + 10007.0999977738 * tau] +
8.1e-10 * cos[5.25045057985 + 10419.4710946482 * tau] +
7.4e-10 * cos[6.0268009555 + 3723.508958923 * tau] +
9.0e-10 * cos[0.39668501735 + 9580.5018068978 * tau] +
9.0e-10 * cos[2.12423586627 + 28313.288804661 * tau] +
1.03e-9 * cos[5.2268323762 + 103.0927742186 * tau] +
8.2e-10 * cos[0.85628515615 + 2379.1644735716 * tau] +
8.9e-10 * cos[2.53312656681 + 10735.8629643048 * tau] +
1.15e-9 * cos[3.76443612245 + 522.5774180938 * tau] +
1.01e-9 * cos[0.83318284426 + 6489.776587288 * tau] +
9.6e-10 * cos[1.52914774412 + 9690.7081281172 * tau] +
9.2e-10 * cos[5.46204624886 + 11764.330768859 * tau] +
9.4e-10 * cos[0.71308489207 + 38500.2760310722 * tau] +
9.5e-10 * cos[5.03917884334 + 52175.8062831484 * tau] +
1.37e-9 * cos[2.9335065946 + 47162.5163546352 * tau] +
1.27e-9 * cos[3.86278127025 + 10138.5039476437 * tau] +
1.27e-9 * cos[5.63110477712 + 10288.0671447783 * tau] +
1.01e-9 * cos[3.17012502017 + 19317.1925403286 * tau] +
1.38e-9 * cos[1.0691923924 + 65236.2212932854 * tau] +
1.08e-9 * cos[0.55230439694 + 10193.61578531121 * tau] +
1.08e-9 * cos[2.65839634325 + 10232.95530711079 * tau] +
1.15e-9 * cos[2.53355582059 + 26735.9452622132 * tau] +
1.20e-9 * cos[0.36076947165 + 536.8045120954 * tau] +
1.11e-9 * cos[2.5207763476 + 13936.794505134 * tau] +
1.33e-9 * cos[2.90682399304 + 9793.8009023358 * tau] +
1.23e-9 * cos[2.33714216061 + 10316.3783204296 * tau] +
1.22e-9 * cos[1.59017183044 + 10110.1927719924 * tau] +
1.21e-9 * cos[1.32802112907 + 38734.3783244656 * tau] +
1.31e-9 * cos[0.89697384735 + 3442.5749449654 * tau] +
1.31e-9 * cos[3.11317801589 + 9896.8936765544 * tau] +
1.27e-9 * cos[5.14447758616 + 5481.2549188676 * tau] +
1.39e-9 * cos[4.12576475427 + 36301.18868778519 * tau] +
1.39e-9 * cos[0.87847805052 + 16522.6597160022 * tau] +
1.37e-9 * cos[5.61149803116 + 10529.6774158676 * tau] +
1.69e-9 * cos[0.37000676558 + 10459.1171924404 * tau] +
1.63e-9 * cos[4.29160537719 + 36949.2308084242 * tau] +
1.74e-9 * cos[2.84049662693 + 9967.4538999816 * tau] +
1.95e-9 * cos[1.51901264131 + 43232.3066584156 * tau] +
1.73e-9 * cos[3.35235705827 + 53445.5922046266 * tau] +
1.80e-9 * cos[3.72646417141 + 1551.045222648 * tau] +
1.99e-9 * cos[1.1643332188 + 22805.7355659936 * tau] +
1.80e-9 * cos[6.19353087076 + 39793.7602546548 * tau] +
1.92e-9 * cos[1.69321442572 + 13341.6743113068 * tau] +
1.96e-9 * cos[1.5061039379 + 31749.2351907264 * tau] +
2.51e-9 * cos[2.84739274245 + 33019.0211122046 * tau] +
2.24e-9 * cos[6.24561979789 + 7064.1213856228 * tau] +
2.34e-9 * cos[3.52866583267 + 10228.538017396 * tau] +
2.35e-9 * cos[5.96522395118 + 10198.033075026 * tau] +
2.23e-9 * cos[2.50591724074 + 26709.6469424134 * tau] +
3.06e-9 * cos[5.28903794869 + 382.8965322232 * tau] +
2.73e-9 * cos[5.12740051559 + 35371.8872659764 * tau] +
2.65e-9 * cos[4.81168402147 + 20235.1228263104 * tau] +
2.80e-9 * cos[1.92925047377 + 49515.382508407 * tau] +
2.79e-9 * cos[4.29871615943 + 19999.97290154599 * tau] +
2.86e-9 * cos[5.16408902215 + 426.598190876 * tau] +
2.63e-9 * cos[0.55328410985 + 36147.4098773004 * tau] +
3.14e-9 * cos[0.02584607093 + 13745.3462390224 * tau] +
2.72e-9 * cos[5.56183082489 + 16496.3613962024 * tau] +
3.77e-9 * cos[3.98143308775 + 21202.093703746 * tau] +
2.94e-9 * cos[0.75089224483 + 3149.1641605882 * tau] +
3.11e-9 * cos[2.57334132897 + 20809.4676246452 * tau] +
2.96e-9 * cos[2.83205515646 + 17277.4069318338 * tau] +
3.33e-9 * cos[4.44969281739 + 28521.0927782546 * tau] +
3.49e-9 * cos[4.20550749672 + 20956.2620575166 * tau] +
3.28e-9 * cos[3.7842737891 + 6681.2248533996 * tau] +
3.55e-9 * cos[5.56672554631 + 18837.49819713819 * tau] +
3.51e-9 * cos[4.3402657449 + 10137.0194749354 * tau] +
5.05e-9 * cos[3.70047474212 + 20400.2727726222 * tau] +
4.83e-9 * cos[1.87898057316 + 51066.427731055 * tau] +
5.24e-9 * cos[0.97991794166 + 30110.1656735384 * tau] +
4.94e-9 * cos[3.74345863918 + 31441.6775697568 * tau] +
4.95e-9 * cos[0.49175293655 + 45585.1728121874 * tau] +
4.27e-9 * cos[3.76876868949 + 11272.6674764002 * tau] +
4.93e-9 * cos[4.79939382739 + 9146.790069021 * tau] +
4.84e-9 * cos[4.18538027381 + 14919.0178537546 * tau] +
5.38e-9 * cos[4.56198493922 + 10063.7223490764 * tau] +
5.14e-9 * cos[5.78413007838 + 12592.4500197826 * tau] +
5.18e-9 * cos[4.96996115446 + 30213.258447757 * tau] +
5.69e-9 * cos[1.65498800378 + 39264.0692895602 * tau] +
5.27e-9 * cos[4.01994270827 + 18849.2275499742 * tau] +
5.42e-9 * cos[1.34665646732 + 29088.811415985 * tau] +
5.24e-9 * cos[2.3979424867 + 26087.9031415742 * tau] +
6.08e-9 * cos[1.25236241968 + 10175.2578735752 * tau] +
5.69e-9 * cos[3.34601425125 + 3340.6124266998 * tau] +
5.10e-9 * cos[1.41065159851 + 9161.0171630226 * tau] +
5.74e-9 * cos[0.43813688572 + 17085.9586657222 * tau] +
5.15e-9 * cos[1.03001478293 + 22779.4372461938 * tau] +
6.37e-9 * cos[6.17053891156 + 10220.3990932118 * tau] +
7.20e-9 * cos[3.84286345199 + 10207.7626219036 * tau] +
6.13e-9 * cos[5.9973118069 + 4732.0306273434 * tau] +
7.26e-9 * cos[6.16683781802 + 18875.525869774 * tau] +
6.05e-9 * cos[2.4233039112 + 10251.3132188468 * tau] +
6.39e-9 * cos[5.37566437358 + 1589.0728952838 * tau] +
6.72e-9 * cos[6.23429601219 + 14765.2390432698 * tau] +
7.19e-9 * cos[6.11596800207 + 10218.8084705184 * tau] +
7.00e-9 * cos[1.98097957188 + 3930.2096962196 * tau] +
7.50e-9 * cos[3.85219782842 + 21228.3920235458 * tau] +
8.02e-9 * cos[5.3723489252 + 10497.1448650762 * tau] +
8.01e-9 * cos[4.62406152514 + 9929.4262273458 * tau] +
7.57e-9 * cos[6.25904553773 + 20452.8694122218 * tau] +
8.58e-9 * cos[5.34692750735 + 41654.9631159678 * tau] +
7.92e-9 * cos[5.39686899735 + 24356.7807886416 * tau] +
8.46e-9 * cos[0.01566400887 + 3128.3887650958 * tau] +
9.62e-9 * cos[0.48573513747 + 23958.6317852334 * tau] +
1.044e-8 * cos[1.98055689074 + 10596.1820784342 * tau] +
9.68e-9 * cos[6.18496721871 + 25158.6017197654 * tau] +
1.047e-8 * cos[4.56525030769 + 20419.45754542119 * tau] +
1.005e-8 * cos[2.38429892132 + 27511.4678735372 * tau] +
1.201e-8 * cos[0.81913312536 + 8094.5216858326 * tau] +
1.143e-8 * cos[3.20596958337 + 3532.0606928114 * tau] +
1.036e-8 * cos[1.16719443387 + 8662.240323563 * tau] +
1.041e-8 * cos[5.38535116069 + 7.1135470008 * tau] +
1.064e-8 * cos[1.98891375536 + 26.2983197998 * tau] +
1.111e-8 * cos[1.20276209213 + 9573.388259897 * tau] +
1.224e-8 * cos[5.55090394449 + 5661.3320491522 * tau] +
1.200e-8 * cos[1.48282382657 + 9830.3890139878 * tau] +
1.546e-8 * cos[4.70759186462 + 14945.3161735544 * tau] +
1.538e-8 * cos[2.1730957708 + 21535.9496445154 * tau] +
1.562e-8 * cos[3.93962080463 + 37724.7534197482 * tau] +
2.010e-8 * cos[0.75702888128 + 9999.986450773 * tau] +
1.491e-8 * cos[4.64883377941 + 1109.3785520934 * tau] +
1.660e-8 * cos[5.42775825275 + 32217.2001810808 * tau] +
1.742e-8 * cos[1.48394229233 + 7058.5984613154 * tau] +
2.229e-8 * cos[2.22457598233 + 10426.584641649 * tau] +
2.246e-8 * cos[0.82112963936 + 28286.9904848612 * tau] +
2.625e-8 * cos[4.24272906574 + 213.299095438 * tau] +
2.593e-8 * cos[5.73113176751 + 20213.271996984 * tau] +
2.462e-8 * cos[5.05790874754 + 29050.7837433492 * tau] +
2.559e-8 * cos[4.58043833032 + 801.8209311238 * tau] +
3.048e-8 * cos[2.5108514699 + 33794.5437235286 * tau] +
2.813e-8 * cos[0.29951755546 + 9411.4646150872 * tau] +
3.266e-8 * cos[0.97517223854 + 23581.2581773176 * tau] +
3.641e-8 * cos[2.61501257205 + 15874.6175953632 * tau] +
3.579e-8 * cos[0.73789669235 + 4551.9534970588 * tau] +
3.798e-8 * cos[6.06410995916 + 10234.0609417034 * tau] +
3.797e-8 * cos[3.89520601076 + 10192.5101507186 * tau] +
3.942e-8 * cos[5.68758787835 + 10206.1719992102 * tau] +
4.070e-8 * cos[5.5879814474 + 12566.1516999828 * tau] +
5.289e-8 * cos[4.99182712443 + 7084.8967811152 * tau] +
4.796e-8 * cos[3.86676184909 + 7860.4193924392 * tau] +
6.000e-8 * cos[3.57639095526 + 3154.6870848956 * tau] +
5.204e-8 * cos[3.42528906628 + 9103.9069941176 * tau] +
6.155e-8 * cos[2.424139469 + 4705.7323075436 * tau] +
6.186e-8 * cos[4.92498052443 + 19367.1891622328 * tau] +
6.228e-8 * cos[1.13312070908 + 29864.334027309 * tau] +
6.983e-8 * cos[3.44920932146 + 17298.1823273262 * tau] +
5.955e-8 * cos[4.92235372433 + 1059.3819301892 * tau] +
6.050e-8 * cos[6.26541665966 + 11322.6640983044 * tau] +
8.148e-8 * cos[1.30548515603 + 15720.8387848784 * tau] +
9.763e-8 * cos[0.14614896296 + 20618.0193585336 * tau] +
8.583e-8 * cos[0.43182249199 + 9786.687355335 * tau] +
1.3129e-7 * cos[5.70735942511 + 9683.5945811164 * tau] +
9.484e-8 * cos[2.75167834335 + 191.4482661116 * tau] +
1.1466e-7 * cos[5.12780364967 + 6283.0758499914 * tau] +
1.1827e-7 * cos[1.190709196 + 8624.2126509272 * tau] +
1.1962e-7 * cos[3.57604253827 + 10742.9765113056 * tau] +
1.2936e-7 * cos[5.42651448496 + 29580.4747084438 * tau] +
1.5407e-7 * cos[3.29563855296 + 11015.1064773348 * tau] +
1.8579e-7 * cos[1.80529277514 + 40853.142184844 * tau] +
1.4949e-7 * cos[5.61075168206 + 10404.7338123226 * tau] +
1.7835e-7 * cos[5.96268643102 + 25934.1243310894 * tau] +
1.6976e-7 * cos[4.13711782135 + 10021.8372800994 * tau] +
2.0653e-7 * cos[0.98666685459 + 775.522611324 * tau] +
2.1809e-7 * cos[2.69701424951 + 19651.048481098 * tau] +
2.3500e-7 * cos[2.00770618322 + 13367.9726311066 * tau] +
2.3711e-7 * cos[2.90646621218 + 10988.808157535 * tau] +
3.3320e-7 * cos[4.83194909595 + 14143.4952424306 * tau] +
3.9175e-7 * cos[3.94960351174 + 529.6909650946 * tau] +
3.9644e-7 * cos[3.86842095901 + 8635.9420037632 * tau] +
4.1700e-7 * cos[5.99126845246 + 19896.8801273274 * tau] +
4.3491e-7 * cos[6.14015776699 + 11790.6290886588 * tau] +
3.8855e-7 * cos[2.93437865147 + 10186.9872264112 * tau] +
4.5617e-7 * cos[0.72319641722 + 10239.5838660108 * tau] +
5.2982e-7 * cos[2.28138172277 + 5507.5532386674 * tau] +
9.2029e-7 * cos[1.53954562706 + 9153.9036160218 * tau] +
0.00000107971 * cos[4.53903677647 + 22003.9146348698 * tau] +
0.00000119507 * cos[3.70468812804 + 2352.8661537718 * tau] +
0.00000129973 * cos[3.67152483651 + 9437.762934887 * tau] +
0.00000137788 * cos[0.86020146523 + 1577.3435424478 * tau] +
0.00000149458 * cos[6.25390296069 + 18073.7049386502 * tau] +
0.00001011392 * cos[1.08946123021 + 30639.856638633 * tau] +
0.00032814918 * cos[3.14159265359 + 0.0 * tau] +
0.00040107978 * cos[1.14737178106 + 20426.571092422 * tau] +
0.05923638472 * cos[0.26702775813 + 10213.285546211 * tau];
B1 = 1.9e-10 * cos[5.04938942644 + 6681.2248533996 * tau] +
2.2e-10 * cos[1.92092469688 + 17085.9586657222 * tau] +
2.3e-10 * cos[0.90416640595 + 8094.5216858326 * tau] +
2.0e-10 * cos[4.0334440068 + 29573.361161443 * tau] +
2.0e-10 * cos[4.01315480107 + 26709.6469424134 * tau] +
2.2e-10 * cos[4.64142978776 + 19889.76658032659 * tau] +
2.3e-10 * cos[0.62711494266 + 35371.8872659764 * tau] +
2.3e-10 * cos[3.76162101633 + 10251.3132188468 * tau] +
2.2e-10 * cos[0.69625017371 + 19999.97290154599 * tau] +
2.3e-10 * cos[2.59067946967 + 10175.2578735752 * tau] +
3.3e-10 * cos[0.40689057274 + 10497.1448650762 * tau] +
3.4e-10 * cos[5.94541303751 + 9929.4262273458 * tau] +
2.7e-10 * cos[4.44250239485 + 17277.4069318338 * tau] +
3.6e-10 * cos[5.41167321573 + 522.5774180938 * tau] +
3.4e-10 * cos[0.12963030501 + 30213.258447757 * tau] +
3.3e-10 * cos[4.96183427323 + 536.8045120954 * tau] +
4.1e-10 * cos[3.16744909855 + 39264.0692895602 * tau] +
4.4e-10 * cos[1.7812329486 + 426.598190876 * tau] +
4.0e-10 * cos[6.13293942728 + 26087.9031415742 * tau] +
3.5e-10 * cos[2.24417218267 + 16496.3613962024 * tau] +
3.3e-10 * cos[3.98241699279 + 4732.0306273434 * tau] +
3.8e-10 * cos[5.91928287144 + 28521.0927782546 * tau] +
4.1e-10 * cos[1.21289342964 + 12592.4500197826 * tau] +
4.2e-10 * cos[0.43005959574 + 1589.0728952838 * tau] +
3.8e-10 * cos[4.15337829669 + 18849.2275499742 * tau] +
3.6e-10 * cos[5.24409311105 + 3149.1641605882 * tau] +
4.7e-10 * cos[2.03402044389 + 23958.6317852334 * tau] +
4.7e-10 * cos[1.25473247769 + 33019.0211122046 * tau] +
5.0e-10 * cos[4.16651052942 + 13341.6743113068 * tau] +
4.6e-10 * cos[5.49443476235 + 31441.6775697568 * tau] +
6.1e-10 * cos[3.27309494322 + 49515.382508407 * tau] +
5.8e-10 * cos[6.20761936031 + 29088.811415985 * tau] +
5.1e-10 * cos[4.22406663447 + 20809.4676246452 * tau] +
5.6e-10 * cos[2.97733070198 + 30110.1656735384 * tau] +
6.7e-10 * cos[1.42090542131 + 24356.7807886416 * tau] +
5.3e-10 * cos[3.21969389511 + 20452.8694122218 * tau] +
7.2e-10 * cos[2.35312965005 + 9103.9069941176 * tau] +
6.2e-10 * cos[0.81341290651 + 382.8965322232 * tau] +
7.7e-10 * cos[1.8551635895 + 3532.0606928114 * tau] +
6.1e-10 * cos[3.80043027736 + 11272.6674764002 * tau] +
8.9e-10 * cos[0.64100435648 + 3154.6870848956 * tau] +
6.6e-10 * cos[3.25826124156 + 1109.3785520934 * tau] +
9.3e-10 * cos[1.85466268819 + 45585.1728121874 * tau] +
7.7e-10 * cos[2.00173927326 + 10228.538017396 * tau] +
7.7e-10 * cos[5.5013231061 + 5661.3320491522 * tau] +
8.3e-10 * cos[0.19985600927 + 14919.0178537546 * tau] +
8.5e-10 * cos[6.04057728058 + 21202.093703746 * tau] +
8.2e-10 * cos[1.45863866349 + 10207.7626219036 * tau] +
9.6e-10 * cos[1.21744230443 + 10198.033075026 * tau] +
9.6e-10 * cos[1.49631428731 + 7084.8967811152 * tau] +
1.16e-9 * cos[0.61940521198 + 41654.9631159678 * tau] +
1.17e-9 * cos[0.14681677884 + 9146.790069021 * tau] +
1.33e-9 * cos[1.78047296245 + 191.4482661116 * tau] +
1.09e-9 * cos[5.21220660788 + 8662.240323563 * tau] +
1.13e-9 * cos[3.64412860654 + 7.1135470008 * tau] +
1.64e-9 * cos[3.30849473132 + 51066.427731055 * tau] +
1.17e-9 * cos[6.18296175153 + 20400.2727726222 * tau] +
1.57e-9 * cos[5.44507403858 + 4705.7323075436 * tau] +
1.72e-9 * cos[6.13435208788 + 18837.49819713819 * tau] +
1.46e-9 * cos[4.69869606856 + 25158.6017197654 * tau] +
1.26e-9 * cos[2.62296638037 + 22779.4372461938 * tau] +
1.39e-9 * cos[4.42330401713 + 10220.3990932118 * tau] +
1.31e-9 * cos[1.51959002513 + 10218.8084705184 * tau] +
1.29e-9 * cos[2.08748660996 + 3128.3887650958 * tau] +
1.63e-9 * cos[5.4551913476 + 10426.584641649 * tau] +
1.57e-9 * cos[5.98474214437 + 26.2983197998 * tau] +
1.74e-9 * cos[1.33676849359 + 32217.2001810808 * tau] +
1.53e-9 * cos[4.07656151671 + 27511.4678735372 * tau] +
1.95e-9 * cos[5.472408554 + 37724.7534197482 * tau] +
1.72e-9 * cos[6.12653050186 + 9161.0171630226 * tau] +
2.17e-9 * cos[0.88382111135 + 20213.271996984 * tau] +
2.25e-9 * cos[5.7688889632 + 213.299095438 * tau] +
2.02e-9 * cos[3.56872121409 + 21535.9496445154 * tau] +
2.47e-9 * cos[3.07626728158 + 28286.9904848612 * tau] +
2.20e-9 * cos[2.37315851889 + 4551.9534970588 * tau] +
2.65e-9 * cos[4.02431894973 + 33794.5437235286 * tau] +
2.32e-9 * cos[3.0784585003 + 12566.1516999828 * tau] +
2.83e-9 * cos[6.12133736787 + 20419.45754542119 * tau] +
2.90e-9 * cos[0.10953964861 + 29050.7837433492 * tau] +
2.61e-9 * cos[3.48196147279 + 7058.5984613154 * tau] +
2.69e-9 * cos[0.00589873499 + 9830.3890139878 * tau] +
2.69e-9 * cos[2.39650266204 + 801.8209311238 * tau] +
3.31e-9 * cos[4.89498986674 + 10206.1719992102 * tau] +
3.08e-9 * cos[4.90145899142 + 3930.2096962196 * tau] +
3.46e-9 * cos[0.94242286364 + 1059.3819301892 * tau] +
3.10e-9 * cos[5.45422332781 + 10192.5101507186 * tau] +
3.49e-9 * cos[1.31468836511 + 10234.0609417034 * tau] +
4.40e-9 * cos[4.33400244581 + 15874.6175953632 * tau] +
3.74e-9 * cos[3.76878356974 + 21228.3920235458 * tau] +
4.58e-9 * cos[2.31894399069 + 9999.986450773 * tau] +
3.47e-9 * cos[2.3455106268 + 9411.4646150872 * tau] +
4.77e-9 * cos[3.71554345922 + 10596.1820784342 * tau] +
4.78e-9 * cos[3.94100005156 + 775.522611324 * tau] +
4.56e-9 * cos[5.01205315518 + 10742.9765113056 * tau] +
5.03e-9 * cos[2.65840772485 + 29864.334027309 * tau] +
4.72e-9 * cos[1.696726292 + 17298.1823273262 * tau] +
4.76e-9 * cos[6.17672999981 + 11015.1064773348 * tau] +
5.32e-9 * cos[5.10925676528 + 9786.687355335 * tau] +
6.09e-9 * cos[2.62364470139 + 23581.2581773176 * tau] +
9.91e-9 * cos[0.5531987933 + 19367.1891622328 * tau] +
9.13e-9 * cos[0.76046003719 + 8635.9420037632 * tau] +
8.05e-9 * cos[0.53331923557 + 8624.2126509272 * tau] +
9.73e-9 * cos[0.39071758442 + 6283.0758499914 * tau] +
9.65e-9 * cos[1.36425494833 + 9683.5945811164 * tau] +
9.23e-9 * cos[2.25384969096 + 10021.8372800994 * tau] +
1.115e-8 * cos[0.6674369038 + 29580.4747084438 * tau] +
1.165e-8 * cos[6.13437155401 + 7860.4193924392 * tau] +
9.93e-9 * cos[1.74681248965 + 11322.6640983044 * tau] +
1.341e-8 * cos[2.90077139758 + 15720.8387848784 * tau] +
1.539e-8 * cos[1.21683853657 + 25934.1243310894 * tau] +
1.600e-8 * cos[1.68378002982 + 20618.0193585336 * tau] +
1.786e-8 * cos[0.37134513186 + 13367.9726311066 * tau] +
2.884e-8 * cos[0.08549582037 + 14143.4952424306 * tau] +
3.479e-8 * cos[5.5079700216 + 529.6909650946 * tau] +
3.555e-8 * cos[1.25927550356 + 19896.8801273274 * tau] +
3.390e-8 * cos[4.88976070903 + 10988.808157535 * tau] +
3.783e-8 * cos[4.33004753984 + 19651.048481098 * tau] +
4.657e-8 * cos[0.75073886819 + 5507.5532386674 * tau] +
3.975e-8 * cos[1.28397121206 + 10404.7338123226 * tau] +
4.399e-8 * cos[3.58872736593 + 40853.142184844 * tau] +
4.669e-8 * cos[3.87801635015 + 10239.5838660108 * tau] +
7.514e-8 * cos[5.0808188599 + 10186.9872264112 * tau] +
8.031e-8 * cos[0.29371105198 + 9153.9036160218 * tau] +
7.441e-8 * cos[1.50257909439 + 11790.6290886588 * tau] +
9.294e-8 * cos[6.07545631303 + 22003.9146348698 * tau] +
1.0324e-7 * cos[5.24224313355 + 2352.8661537718 * tau] +
1.1941e-7 * cos[5.60462450426 + 1577.3435424478 * tau] +
1.2958e-7 * cos[1.50735622957 + 18073.7049386502 * tau] +
1.4031e-7 * cos[2.27087044687 + 9437.762934887 * tau] +
0.00000199162 * cos[0.0 + 0.0 * tau] +
0.00000196586 * cos[2.53001197486 + 30639.856638633 * tau] +
0.000043801 * cos[3.38615711591 + 20426.571092422 * tau] +
0.00513347602 * cos[1.80364310797 + 10213.285546211 * tau];
B2 = 1.1e-10 * cos[1.46728576671 + 20419.45754542119 * tau] +
1.0e-10 * cos[0.26447399758 + 3930.2096962196 * tau] +
1.1e-10 * cos[4.23048200054 + 29864.334027309 * tau] +
1.1e-10 * cos[0.85773045784 + 17298.1823273262 * tau] +
1.0e-10 * cos[4.9813806749 + 10426.584641649 * tau] +
1.5e-10 * cos[1.42027402522 + 29050.7837433492 * tau] +
1.3e-10 * cos[5.04826725887 + 7.1135470008 * tau] +
1.2e-10 * cos[3.24834347355 + 9103.9069941176 * tau] +
1.4e-10 * cos[5.43035907265 + 26.2983197998 * tau] +
1.4e-10 * cos[0.05074160195 + 7860.4193924392 * tau] +
1.3e-10 * cos[3.40362915274 + 1059.3819301892 * tau] +
1.9e-10 * cos[2.73486845601 + 3128.3887650958 * tau] +
2.0e-10 * cos[5.29318634138 + 775.522611324 * tau] +
2.4e-10 * cos[2.1720810785 + 18849.2275499742 * tau] +
2.0e-10 * cos[5.66581696952 + 21228.3920235458 * tau] +
2.7e-10 * cos[2.17187621336 + 8635.9420037632 * tau] +
2.7e-10 * cos[4.3114017935 + 23581.2581773176 * tau] +
2.7e-10 * cos[4.83867137637 + 9830.3890139878 * tau] +
3.4e-10 * cos[1.22706917271 + 10021.8372800994 * tau] +
3.8e-10 * cos[1.88638747393 + 801.8209311238 * tau] +
3.4e-10 * cos[2.25809144959 + 29580.4747084438 * tau] +
3.4e-10 * cos[0.55287110072 + 11015.1064773348 * tau] +
3.7e-10 * cos[2.79630938717 + 25934.1243310894 * tau] +
3.3e-10 * cos[4.5574866034 + 10742.9765113056 * tau] +
3.9e-10 * cos[3.14348236386 + 9411.4646150872 * tau] +
3.6e-10 * cos[4.41006216127 + 51066.427731055 * tau] +
3.9e-10 * cos[5.84340580032 + 10220.3990932118 * tau] +
3.8e-10 * cos[4.55053233088 + 9999.986450773 * tau] +
4.4e-10 * cos[2.34401612969 + 19367.1891622328 * tau] +
4.4e-10 * cos[0.58444963462 + 10206.1719992102 * tau] +
5.5e-10 * cos[4.82369879741 + 7058.5984613154 * tau] +
9.0e-10 * cos[5.23585072275 + 10596.1820784342 * tau] +
8.7e-10 * cos[3.28265082435 + 11322.6640983044 * tau] +
1.28e-9 * cos[5.32400510939 + 13367.9726311066 * tau] +
1.15e-9 * cos[3.23636374193 + 20618.0193585336 * tau] +
1.06e-9 * cos[2.28289033017 + 6283.0758499914 * tau] +
1.09e-9 * cos[2.01866665583 + 14143.4952424306 * tau] +
1.55e-9 * cos[2.54824315372 + 9683.5945811164 * tau] +
1.57e-9 * cos[0.65774905071 + 529.6909650946 * tau] +
1.59e-9 * cos[2.78191550878 + 19896.8801273274 * tau] +
1.64e-9 * cos[5.41790158607 + 5507.5532386674 * tau] +
1.50e-9 * cos[4.58623687118 + 15720.8387848784 * tau] +
3.54e-9 * cos[5.12509281266 + 9153.9036160218 * tau] +
3.75e-9 * cos[1.31319959789 + 22003.9146348698 * tau] +
3.60e-9 * cos[6.0174784232 + 19651.048481098 * tau] +
4.31e-9 * cos[4.00778431184 + 1577.3435424478 * tau] +
3.74e-9 * cos[6.10468482446 + 9437.762934887 * tau] +
4.54e-9 * cos[2.79306867629 + 10404.7338123226 * tau] +
5.40e-9 * cos[3.11657836329 + 18073.7049386502 * tau] +
5.38e-9 * cos[0.57550272342 + 2352.8661537718 * tau] +
5.15e-9 * cos[6.12821215207 + 10988.808157535 * tau] +
5.92e-9 * cos[5.22270440328 + 40853.142184844 * tau] +
7.88e-9 * cos[4.36515965295 + 10239.5838660108 * tau] +
6.85e-9 * cos[3.19139067811 + 11790.6290886588 * tau] +
1.174e-8 * cos[0.09768632072 + 10186.9872264112 * tau] +
2.6945e-7 * cos[3.87040891568 + 30639.856638633 * tau] +
0.00000173164 * cos[5.25563766915 + 20426.571092422 * tau] +
0.00000281739 * cos[0.0 + 0.0 * tau] +
0.00022377665 * cos[3.38509143877 + 10213.285546211 * tau];
B3 = 6e-11 * cos[2.97926526705 + 22003.9146348698 * tau] +
7e-11 * cos[4.69592781899 + 18073.7049386502 * tau] +
9e-11 * cos[1.36283915068 + 19651.048481098 * tau] +
1.1e-10 * cos[4.33056892256 + 10404.7338123226 * tau] +
1.7e-10 * cos[2.05293621864 + 2352.8661537718 * tau] +
2.5e-10 * cos[5.60599130442 + 9437.762934887 * tau] +
2.6e-10 * cos[1.02068113372 + 10988.808157535 * tau] +
3.1e-10 * cos[4.72523061067 + 11790.6290886588 * tau] +
5.8e-10 * cos[5.7073117655 + 10239.5838660108 * tau] +
5.6e-10 * cos[0.63647808442 + 40853.142184844 * tau] +
7.9e-10 * cos[1.51447613604 + 10186.9872264112 * tau] +
2.526e-8 * cos[5.4449376302 + 30639.856638633 * tau] +
5.540e-8 * cos[0.77376923951 + 20426.571092422 * tau] +
1.9952e-7 * cos[3.14159265359 + 0.0 * tau] +
0.00000646671 * cos[4.99166565277 + 10213.285546211 * tau];
B4 = 4e-11 * cos[2.34190883009 + 40853.142184844 * tau] +
2.14e-9 * cos[3.14159265359 + 0.0 * tau] +
1.64e-9 * cos[0.74476215141 + 30639.856638633 * tau] +
1.90e-9 * cos[2.35466404492 + 20426.571092422 * tau] +
1.4102e-7 * cos[0.31537190181 + 10213.285546211 * tau];
B5 = 9e-11 * cos[2.32953116868 + 30639.856638633 * tau] +
1.1e-10 * cos[3.82500275251 + 20426.571092422 * tau] +
3.9e-10 * cos[0.0 + 0.0 * tau] +
2.39e-9 * cos[2.05201727566 + 10213.285546211 * tau];
R0 = 2.6e-10 * cos[5.36096904409 + 1478.8665740644 * tau] +
3.0e-10 * cos[3.34585843979 + 39793.7602546548 * tau] +
2.8e-10 * cos[2.38858990128 + 20235.1228263104 * tau] +
3.2e-10 * cos[5.46972716255 + 64607.84893354619 * tau] +
3.4e-10 * cos[3.92498967835 + 536.8045120954 * tau] +
2.8e-10 * cos[2.32945945641 + 11392.4800852506 * tau] +
3.9e-10 * cos[4.50883171158 + 16004.6981037436 * tau] +
3.4e-10 * cos[5.22945947227 + 8673.969676399 * tau] +
3.2e-10 * cos[0.21932095318 + 24978.5245894808 * tau] +
2.9e-10 * cos[1.40019042576 + 9988.9407505091 * tau] +
2.9e-10 * cos[3.36506645849 + 10288.0671447783 * tau] +
3.0e-10 * cos[1.32113757427 + 574.3447983348 * tau] +
3.5e-10 * cos[4.0563432129 + 19903.99367432819 * tau] +
3.1e-10 * cos[4.51793347997 + 2957.7158944766 * tau] +
2.9e-10 * cos[1.30367701539 + 20103.06567576459 * tau] +
3.0e-10 * cos[4.42039942947 + 10459.1171924404 * tau] +
3.1e-10 * cos[0.68615213145 + 10202.2398459471 * tau] +
3.1e-10 * cos[5.98191446392 + 24341.5283174566 * tau] +
3.2e-10 * cos[3.3296078187 + 71519.2971432768 * tau] +
3.1e-10 * cos[5.59148330297 + 10639.883737087 * tau] +
3.5e-10 * cos[1.09353675147 + 69159.80243060499 * tau] +
3.4e-10 * cos[0.7649366411 + 55798.4583583984 * tau] +
3.4e-10 * cos[1.82989750626 + 17675.0234927304 * tau] +
3.5e-10 * cos[2.34112124655 + 58946.51688439399 * tau] +
3.9e-10 * cos[0.52064327313 + 26709.6469424134 * tau] +
3.7e-10 * cos[5.29642935562 + 38.0276726358 * tau] +
3.6e-10 * cos[4.96702216961 + 36301.18868778519 * tau] +
4.0e-10 * cos[1.97645050921 + 32243.4985008806 * tau] +
4.6e-10 * cos[5.06978748275 + 20350.3050211464 * tau] +
4.2e-10 * cos[6.05968230173 + 105460.99111839019 * tau] +
4.9e-10 * cos[1.2133595942 + 9721.6222537522 * tau] +
3.6e-10 * cos[1.2509171162 + 10323.4918674304 * tau] +
5.1e-10 * cos[2.71698589018 + 94325.0327092704 * tau] +
4.0e-10 * cos[3.66961416802 + 10198.033075026 * tau] +
4.7e-10 * cos[1.78672260794 + 10401.2106939736 * tau] +
5.2e-10 * cos[1.18164377451 + 10211.8010735027 * tau] +
3.9e-10 * cos[0.70253732683 + 18093.37469954999 * tau] +
5.2e-10 * cos[1.29052331493 + 90394.82301305079 * tau] +
4.1e-10 * cos[6.1753298446 + 65236.2212932854 * tau] +
3.9e-10 * cos[2.15376025201 + 8947.7180675846 * tau] +
3.9e-10 * cos[1.36646013032 + 21202.093703746 * tau] +
5.3e-10 * cos[5.04979874661 + 74673.9842281724 * tau] +
4.0e-10 * cos[1.2330554626 + 10228.538017396 * tau] +
4.1e-10 * cos[3.48003037828 + 37895.4262903674 * tau] +
5.3e-10 * cos[4.71388531889 + 53445.5922046266 * tau] +
4.4e-10 * cos[6.17937388307 + 13341.6743113068 * tau] +
4.6e-10 * cos[0.41229872114 + 7564.830720738 * tau] +
4.4e-10 * cos[1.29248911155 + 69166.430989505 * tau] +
5.0e-10 * cos[3.70569982975 + 42456.7840470916 * tau] +
5.4e-10 * cos[4.43528236634 + 8617.0991039264 * tau] +
4.5e-10 * cos[4.75746520642 + 7856.89627409019 * tau] +
4.6e-10 * cos[4.07536026888 + 7863.9425107882 * tau] +
5.8e-10 * cos[3.08646083897 + 12074.488407524 * tau] +
4.8e-10 * cos[1.12206254877 + 9779.5738083342 * tau] +
4.3e-10 * cos[5.74921510909 + 51868.2486621788 * tau] +
5.2e-10 * cos[3.23766328818 + 18940.59097135679 * tau] +
5.1e-10 * cos[2.32438478428 + 19779.56025910719 * tau] +
5.1e-10 * cos[5.4723851772 + 57837.1383323006 * tau] +
6.0e-10 * cos[5.94659889997 + 13897.6635962012 * tau] +
5.7e-10 * cos[2.09567711267 + 60530.4889857418 * tau] +
5.1e-10 * cos[3.61196470313 + 426.598190876 * tau] +
4.5e-10 * cos[1.1046649066 + 10408.2569306716 * tau] +
5.7e-10 * cos[5.48065460919 + 24383.0791084414 * tau] +
5.4e-10 * cos[6.25816208666 + 37674.9963942764 * tau] +
5.0e-10 * cos[1.59156823654 + 18631.31264870099 * tau] +
5.7e-10 * cos[5.0743774203 + 18521.1063274816 * tau] +
6.9e-10 * cos[4.90917651401 + 63498.47038145279 * tau] +
6.3e-10 * cos[3.3884897095 + 49515.382508407 * tau] +
5.1e-10 * cos[3.3751547351 + 9256.9963902404 * tau] +
5.4e-10 * cos[0.15603935681 + 19580.4882576708 * tau] +
5.8e-10 * cos[0.54482893546 + 28313.288804661 * tau] +
6.7e-10 * cos[3.128065954 + 5481.2549188676 * tau] +
5.2e-10 * cos[1.3334813194 + 20400.2727726222 * tau] +
5.6e-10 * cos[0.71243223808 + 9896.8936765544 * tau] +
5.6e-10 * cos[3.65815006538 + 14169.7935622304 * tau] +
5.4e-10 * cos[3.4095963723 + 18418.01355326299 * tau] +
5.4e-10 * cos[0.64971567468 + 9929.4262273458 * tau] +
7.5e-10 * cos[3.38244819846 + 4214.0690150848 * tau] +
7.3e-10 * cos[1.75882480924 + 1589.0728952838 * tau] +
5.4e-10 * cos[3.6225971324 + 27461.7108480654 * tau] +
6.4e-10 * cos[5.53983104501 + 10735.8629643048 * tau] +
7.0e-10 * cos[2.45123308846 + 10218.8084705184 * tau] +
5.6e-10 * cos[1.24148350566 + 10207.7626219036 * tau] +
6.9e-10 * cos[5.50183658445 + 19793.7873531088 * tau] +
7.9e-10 * cos[6.24161471033 + 6037.244203762 * tau] +
5.8e-10 * cos[4.95174942212 + 30110.1656735384 * tau] +
8.2e-10 * cos[3.62592908644 + 70743.77453195279 * tau] +
6.6e-10 * cos[5.85414440204 + 9793.8009023358 * tau] +
8.0e-10 * cos[3.39651161571 + 245.8316462294 * tau] +
8.0e-10 * cos[3.4162045777 + 48417.97290558199 * tau] +
6.6e-10 * cos[3.20467071127 + 14765.2390432698 * tau] +
6.4e-10 * cos[5.39293951654 + 7880.08915333899 * tau] +
6.8e-10 * cos[2.01841060183 + 14128.2427712456 * tau] +
7.2e-10 * cos[1.19410424468 + 10217.2176994741 * tau] +
7.7e-10 * cos[4.49569185467 + 20007.0864485468 * tau] +
7.0e-10 * cos[3.704540611 + 8734.4189721466 * tau] +
8.0e-10 * cos[2.33248094128 + 38526.574350872 * tau] +
7.0e-10 * cos[2.35648061034 + 11794.1522070078 * tau] +
8.7e-10 * cos[4.81823063172 + 2107.0345075424 * tau] +
7.1e-10 * cos[3.03858484137 + 11787.1059703098 * tau] +
6.4e-10 * cos[4.33495700921 + 47938.0389659592 * tau] +
6.8e-10 * cos[4.48235266554 + 10632.7701900862 * tau] +
8.5e-10 * cos[4.52011215904 + 29786.660256881 * tau] +
6.4e-10 * cos[0.53356325917 + 17248.4253018544 * tau] +
6.5e-10 * cos[6.23472325597 + 10419.4710946482 * tau] +
8.0e-10 * cos[1.58278081077 + 19992.85935454519 * tau] +
8.5e-10 * cos[0.67062144972 + 56600.2792895222 * tau] +
6.7e-10 * cos[2.25900071584 + 9360.089164459 * tau] +
8.9e-10 * cos[1.79712963206 + 45585.1728121874 * tau] +
7.1e-10 * cos[3.6556596169 + 11764.330768859 * tau] +
9.3e-10 * cos[5.27290609264 + 522.5774180938 * tau] +
9.1e-10 * cos[4.28652743953 + 10110.1927719924 * tau] +
6.8e-10 * cos[2.31300447144 + 8631.326197928 * tau] +
9.7e-10 * cos[5.1354205113 + 22779.4372461938 * tau] +
7.3e-10 * cos[1.60549217847 + 20956.2620575166 * tau] +
1.07e-9 * cos[4.80525404063 + 8144.2787113044 * tau] +
7.6e-10 * cos[6.15177368654 + 27682.1407441564 * tau] +
1.08e-9 * cos[5.44460610707 + 19050.7972925762 * tau] +
1.07e-9 * cos[0.54805946713 + 34363.365597556 * tau] +
1.09e-9 * cos[5.46886607309 + 52670.0695933026 * tau] +
8.7e-10 * cos[6.01842459303 + 17085.9586657222 * tau] +
1.14e-9 * cos[4.02718653431 + 7576.560073574 * tau] +
9.4e-10 * cos[6.07530805791 + 10846.0692855242 * tau] +
9.2e-10 * cos[3.66289799512 + 22645.32819660879 * tau] +
1.01e-9 * cos[3.4152849366 + 19264.0963880142 * tau] +
1.11e-9 * cos[4.47666957576 + 29057.89729034999 * tau] +
1.09e-9 * cos[3.82796787296 + 19470.28193645139 * tau] +
9.0e-10 * cos[2.42353056125 + 32858.61374281979 * tau] +
1.18e-9 * cos[2.3326817689 + 18314.9207790444 * tau] +
1.11e-9 * cos[1.57823839032 + 29043.67019634839 * tau] +
1.27e-9 * cos[2.20215372683 + 66813.5648357332 * tau] +
9.7e-10 * cos[1.04004223634 + 68050.42387851159 * tau] +
9.4e-10 * cos[2.9172009759 + 44007.8292697396 * tau] +
9.8e-10 * cos[1.07722950958 + 13553.8979729108 * tau] +
1.32e-9 * cos[5.45008342761 + 11506.7697697936 * tau] +
1.07e-9 * cos[0.41270197502 + 40853.142184844 * tau] +
1.00e-9 * cos[5.00532389609 + 10175.2578735752 * tau] +
1.31e-9 * cos[6.01711652115 + 9367.2027114598 * tau] +
1.02e-9 * cos[4.3943864662 + 18300.69368504279 * tau] +
1.23e-9 * cos[0.88054816668 + 34596.3646546524 * tau] +
1.18e-9 * cos[0.237542072 + 10497.1448650762 * tau] +
1.11e-9 * cos[2.23547857955 + 8521.1198767086 * tau] +
1.12e-9 * cos[2.24436894064 + 18204.71445782499 * tau] +
1.03e-9 * cos[5.25887538465 + 9830.3890139878 * tau] +
1.16e-9 * cos[1.27731728606 + 10199.0584522094 * tau] +
1.02e-9 * cos[4.23406964348 + 10251.3132188468 * tau] +
1.09e-9 * cos[2.01412667085 + 20419.45754542119 * tau] +
1.03e-9 * cos[1.09613781581 + 41654.9631159678 * tau] +
1.07e-9 * cos[1.172589789 + 43071.8992890308 * tau] +
1.23e-9 * cos[6.22518843711 + 53285.1848352418 * tau] +
1.14e-9 * cos[2.6330132652 + 17468.8551979454 * tau] +
1.06e-9 * cos[0.62224833817 + 11272.6674764002 * tau] +
1.50e-9 * cos[5.73646272556 + 632.7837393132 * tau] +
1.28e-9 * cos[2.92458887798 + 7.1135470008 * tau] +
1.20e-9 * cos[0.21443767468 + 31022.7531708562 * tau] +
1.19e-9 * cos[1.37254262864 + 40077.61957352 * tau] +
1.77e-9 * cos[5.16224804657 + 9835.9119382952 * tau] +
1.39e-9 * cos[2.81266025896 + 20.7753954924 * tau] +
1.35e-9 * cos[5.93689169614 + 37724.7534197482 * tau] +
1.46e-9 * cos[5.06313558118 + 39264.0692895602 * tau] +
1.46e-9 * cos[3.94191715702 + 6309.3741697912 * tau] +
1.88e-9 * cos[4.08173534559 + 48739.859897083 * tau] +
1.71e-9 * cos[2.05212624568 + 7255.5696517344 * tau] +
1.44e-9 * cos[5.00261963924 + 9264.1099372412 * tau] +
1.98e-9 * cos[0.77846666692 + 62883.3551395136 * tau] +
1.89e-9 * cos[5.34607810282 + 10007.0999977738 * tau] +
1.87e-9 * cos[2.98688597588 + 2218.7571041868 * tau] +
1.60e-9 * cos[4.46270605493 + 18947.7045183576 * tau] +
1.99e-9 * cos[5.7425979833 + 30666.1549584328 * tau] +
1.60e-9 * cos[1.81472642729 + 10787.6303445458 * tau] +
2.21e-9 * cos[4.83552377614 + 20277.0078952874 * tau] +
1.61e-9 * cos[4.13272567123 + 23958.6317852334 * tau] +
1.86e-9 * cos[2.55098927966 + 14919.0178537546 * tau] +
1.75e-9 * cos[2.7198479704 + 20809.4676246452 * tau] +
1.84e-9 * cos[6.16061560223 + 36147.4098773004 * tau] +
1.76e-9 * cos[4.29837616553 + 10137.0194749354 * tau] +
2.01e-9 * cos[1.90356905733 + 1551.045222648 * tau] +
1.93e-9 * cos[2.55112161845 + 2379.1644735716 * tau] +
2.24e-9 * cos[2.43601863127 + 9992.8729037722 * tau] +
1.87e-9 * cos[3.65620881095 + 20452.8694122218 * tau] +
1.94e-9 * cos[4.78926136175 + 33794.5437235286 * tau] +
2.65e-9 * cos[2.62811801237 + 44809.6502008634 * tau] +
2.53e-9 * cos[2.69506547016 + 3442.5749449654 * tau] +
2.46e-9 * cos[2.1824488393 + 9161.0171630226 * tau] +
2.39e-9 * cos[3.94545782067 + 9580.5018068978 * tau] +
2.80e-9 * cos[3.70200084294 + 47623.8527860896 * tau] +
2.67e-9 * cos[2.97685503991 + 19573.37471066999 * tau] +
2.91e-9 * cos[3.72567217056 + 29999.959352319 * tau] +
2.19e-9 * cos[5.08729383251 + 7058.5984613154 * tau] +
2.47e-9 * cos[2.53637594113 + 16522.6597160022 * tau] +
3.11e-9 * cos[4.15626121491 + 10175.1525105732 * tau] +
3.15e-9 * cos[5.62657778233 + 58953.145443294 * tau] +
2.37e-9 * cos[0.87748812245 + 6681.2248533996 * tau] +
2.81e-9 * cos[4.50895206233 + 32217.2001810808 * tau] +
2.44e-9 * cos[3.83523342668 + 9411.4646150872 * tau] +
2.51e-9 * cos[3.78618457047 + 10063.7223490764 * tau] +
3.47e-9 * cos[3.58439807209 + 27490.6924780448 * tau] +
3.13e-9 * cos[1.36138752543 + 10192.5101507186 * tau] +
3.29e-9 * cos[3.88430599153 + 29864.334027309 * tau] +
3.09e-9 * cos[0.50597475053 + 38204.687359371 * tau] +
3.26e-9 * cos[4.27369741426 + 26735.9452622132 * tau] +
3.37e-9 * cos[4.87838699272 + 12432.0426503978 * tau] +
3.85e-9 * cos[1.94284690176 + 283.8593188652 * tau] +
4.08e-9 * cos[3.12833060705 + 9050.8108418032 * tau] +
4.25e-9 * cos[1.2005257828 + 40879.4405046438 * tau] +
3.75e-9 * cos[6.17532088136 + 26087.9031415742 * tau] +
3.38e-9 * cos[3.22520096478 + 24150.080051345 * tau] +
3.48e-9 * cos[4.90260339364 + 18830.38465013739 * tau] +
3.52e-9 * cos[0.08963076359 + 10103.0792249916 * tau] +
4.64e-9 * cos[2.59869499733 + 18734.4054229196 * tau] +
4.02e-9 * cos[2.97963246945 + 10220.3990932118 * tau] +
4.04e-9 * cos[4.95834410782 + 37410.5672398786 * tau] +
5.00e-9 * cos[4.20351458644 + 55022.9357470744 * tau] +
4.21e-9 * cos[4.86552697954 + 9146.790069021 * tau] +
3.78e-9 * cos[2.41665947591 + 18844.61174413899 * tau] +
3.98e-9 * cos[6.16269975784 + 10426.584641649 * tau] +
4.59e-9 * cos[3.55062885479 + 20213.271996984 * tau] +
4.34e-9 * cos[6.22214487735 + 27197.2816936676 * tau] +
6.35e-9 * cos[0.76494024849 + 8094.5216858326 * tau] +
4.92e-9 * cos[3.83802404893 + 27991.40181316 * tau] +
5.44e-9 * cos[5.448060748 + 3723.508958923 * tau] +
5.35e-9 * cos[5.85422519711 + 9103.9069941176 * tau] +
6.73e-9 * cos[6.06079908421 + 36949.2308084242 * tau] +
5.95e-9 * cos[2.83045104588 + 22805.7355659936 * tau] +
6.01e-9 * cos[5.78144137895 + 213.299095438 * tau] +
6.00e-9 * cos[4.25927726907 + 41962.5207369374 * tau] +
5.09e-9 * cos[3.56809374595 + 28286.9904848612 * tau] +
5.30e-9 * cos[0.85392938403 + 10234.0609417034 * tau] +
6.74e-9 * cos[5.11214939998 + 382.8965322232 * tau] +
6.64e-9 * cos[4.458646824 + 3128.3887650958 * tau] +
8.02e-9 * cos[2.78173370208 + 51092.7260508548 * tau] +
7.60e-9 * cos[1.31851313748 + 9967.4538999816 * tau] +
8.00e-9 * cos[3.94213003073 + 10138.5039476437 * tau] +
6.08e-9 * cos[1.58476225197 + 9573.388259897 * tau] +
6.23e-9 * cos[0.89976912165 + 17778.11626694899 * tau] +
8.78e-9 * cos[0.87852464964 + 38734.3783244656 * tau] +
7.00e-9 * cos[1.14936815714 + 16983.9961474566 * tau] +
7.79e-9 * cos[0.4158527401 + 3340.6124266998 * tau] +
7.83e-9 * cos[2.02118183873 + 24356.7807886416 * tau] +
1.014e-8 * cos[1.09259406433 + 1059.3819301892 * tau] +
1.093e-8 * cos[4.64451720605 + 33019.0211122046 * tau] +
9.05e-9 * cos[1.12740203561 + 12592.4500197826 * tau] +
9.17e-9 * cos[6.26337648765 + 20618.0193585336 * tau] +
1.278e-8 * cos[1.35747287297 + 47162.5163546352 * tau] +
1.174e-8 * cos[1.42913732999 + 18875.525869774 * tau] +
1.042e-8 * cos[3.05454698508 + 25934.1243310894 * tau] +
1.402e-8 * cos[5.17536780118 + 10316.3783204296 * tau] +
1.270e-8 * cos[5.24647873116 + 19360.07561523199 * tau] +
1.249e-8 * cos[1.88323673734 + 19374.3027092336 * tau] +
1.323e-8 * cos[2.48821075422 + 9690.7081281172 * tau] +
1.185e-8 * cos[1.42087628351 + 4732.0306273434 * tau] +
1.484e-8 * cos[2.47665429253 + 31749.2351907264 * tau] +
1.140e-8 * cos[5.92088900094 + 13936.794505134 * tau] +
1.223e-8 * cos[5.55818994329 + 6770.7106012456 * tau] +
1.423e-8 * cos[5.85979618707 + 9676.4810341156 * tau] +
1.819e-8 * cos[3.23144993268 + 29088.811415985 * tau] +
1.497e-8 * cos[0.00134773824 + 17277.4069318338 * tau] +
1.950e-8 * cos[2.21447019683 + 19786.67380610799 * tau] +
2.087e-8 * cos[6.22112874639 + 43232.3066584156 * tau] +
1.858e-8 * cos[1.50368318296 + 10021.8372800994 * tau] +
1.817e-8 * cos[0.41611036449 + 4705.7323075436 * tau] +
1.706e-8 * cos[3.67573010379 + 26.2983197998 * tau] +
1.902e-8 * cos[2.85782199133 + 3532.0606928114 * tau] +
1.876e-8 * cos[2.63426768393 + 29580.4747084438 * tau] +
1.958e-8 * cos[5.41763804167 + 16496.3613962024 * tau] +
2.198e-8 * cos[2.82996372521 + 8662.240323563 * tau] +
2.374e-8 * cos[3.77948685343 + 21535.9496445154 * tau] +
2.463e-8 * cos[0.68708153678 + 10988.808157535 * tau] +
3.172e-8 * cos[1.80518954174 + 25158.6017197654 * tau] +
3.484e-8 * cos[4.79878191875 + 39302.096962196 * tau] +
3.284e-8 * cos[0.70709821006 + 10742.9765113056 * tau] +
2.982e-8 * cos[4.21196716354 + 28521.0927782546 * tau] +
3.089e-8 * cos[6.26174762876 + 14945.3161735544 * tau] +
3.216e-8 * cos[0.39767254848 + 10186.9872264112 * tau] +
2.709e-8 * cos[5.80195530112 + 7064.1213856228 * tau] +
3.920e-8 * cos[5.56542869407 + 10596.1820784342 * tau] +
4.033e-8 * cos[0.0005085558 + 801.8209311238 * tau] +
3.852e-8 * cos[1.01162850357 + 9786.687355335 * tau] +
6.005e-8 * cos[3.37874723475 + 35371.8872659764 * tau] +
4.315e-8 * cos[2.59737099519 + 4551.9534970588 * tau] +
6.070e-8 * cos[0.35337419942 + 21228.3920235458 * tau] +
6.193e-8 * cos[3.25881250939 + 6872.6731195112 * tau] +
4.529e-8 * cos[4.730277704 + 19896.8801273274 * tau] +
4.488e-8 * cos[2.47835729057 + 191.4482661116 * tau] +
5.523e-8 * cos[1.27394296557 + 18307.8072320436 * tau] +
5.632e-8 * cos[3.94956548631 + 12566.1516999828 * tau] +
5.898e-8 * cos[0.0109373111 + 8635.9420037632 * tau] +
6.434e-8 * cos[0.84419623033 + 6283.0758499914 * tau] +
7.562e-8 * cos[1.13789564977 + 8624.2126509272 * tau] +
6.506e-8 * cos[2.17390732263 + 14143.4952424306 * tau] +
9.585e-8 * cos[1.46639856228 + 19999.97290154599 * tau] +
1.0357e-7 * cos[1.20234990061 + 15874.6175953632 * tau] +
1.0652e-7 * cos[1.9552839614 + 31441.6775697568 * tau] +
9.308e-8 * cos[1.61615909286 + 2352.8661537718 * tau] +
8.193e-8 * cos[1.9502311186 + 22003.9146348698 * tau] +
8.377e-8 * cos[5.78327612352 + 30639.856638633 * tau] +
1.1438e-7 * cos[4.56838894696 + 29050.7837433492 * tau] +
1.0818e-7 * cos[2.45024712908 + 10239.5838660108 * tau] +
9.097e-8 * cos[3.07004895769 + 1109.3785520934 * tau] +
1.3180e-7 * cos[3.37207825651 + 13745.3462390224 * tau] +
1.3079e-7 * cos[5.24353197586 + 17298.1823273262 * tau] +
1.1728e-7 * cos[0.23432298744 + 7084.8967811152 * tau] +
1.1821e-7 * cos[5.09025877427 + 3154.6870848956 * tau] +
1.6215e-7 * cos[0.5645383429 + 529.6909650946 * tau] +
1.2921e-7 * cos[1.13381083556 + 10206.1719992102 * tau] +
1.3567e-7 * cos[3.75530870628 + 18073.7049386502 * tau] +
1.9809e-7 * cos[0.53189326492 + 27511.4678735372 * tau] +
1.9700e-7 * cos[4.96157560245 + 11322.6640983044 * tau] +
3.1274e-7 * cos[2.31806719544 + 9999.986450773 * tau] +
2.7283e-7 * cos[4.82151812709 + 11015.1064773348 * tau] +
2.7555e-7 * cos[5.72392407794 + 775.522611324 * tau] +
2.9042e-7 * cos[5.67739528728 + 5661.3320491522 * tau] +
3.9430e-7 * cos[5.39019422358 + 23581.2581773176 * tau] +
4.2493e-7 * cos[3.81864530735 + 13367.9726311066 * tau] +
4.1904e-7 * cos[1.64273363458 + 18837.49819713819 * tau] +
7.4347e-7 * cos[4.11957854039 + 5507.5532386674 * tau] +
8.5336e-7 * cos[3.98607953754 + 19651.048481098 * tau] +
7.6178e-7 * cos[1.59577224486 + 9153.9036160218 * tau] +
0.00000125896 * cos[2.72769833559 + 1577.3435424478 * tau] +
0.00000119467 * cos[3.01975365264 + 10404.7338123226 * tau] +
0.00000221983 * cos[2.01346776772 + 19367.1891622328 * tau] +
0.00000237455 * cos[2.55135903978 + 15720.8387848784 * tau] +
0.00000263616 * cos[5.5293818592 + 9437.762934887 * tau] +
0.00000373958 * cos[1.42314837063 + 3930.2096962196 * tau] +
0.00000498399 * cos[2.58682187717 + 9683.5945811164 * tau] +
0.00001378048 * cos[1.128465906 + 11790.6290886588 * tau] +
0.00001632093 * cos[2.84548851892 + 7860.4193924392 * tau] +
0.00001658058 * cos[4.90206728012 + 20426.571092422 * tau] +
0.00489824185 * cos[4.02151832268 + 10213.285546211 * tau] +
0.72334820905 * cos[0.0 + 0.0 * tau];
R1 = 1.3e-10 * cos[0.45004137509 + 20452.8694122218 * tau] +
1.5e-10 * cos[5.3451771514 + 10198.033075026 * tau] +
1.4e-10 * cos[2.8453287189 + 574.3447983348 * tau] +
1.4e-10 * cos[6.08462030302 + 35371.8872659764 * tau] +
1.6e-10 * cos[1.05720065324 + 26735.9452622132 * tau] +
1.5e-10 * cos[5.84132627836 + 10228.538017396 * tau] +
1.4e-10 * cos[3.48144272414 + 29786.660256881 * tau] +
1.8e-10 * cos[0.55618686515 + 14765.2390432698 * tau] +
1.5e-10 * cos[4.96237667003 + 19999.97290154599 * tau] +
1.5e-10 * cos[5.81110284451 + 43071.8992890308 * tau] +
1.7e-10 * cos[5.61443395877 + 47938.0389659592 * tau] +
1.5e-10 * cos[5.27016880041 + 53445.5922046266 * tau] +
1.6e-10 * cos[1.71021408448 + 536.8045120954 * tau] +
1.7e-10 * cos[5.63315744126 + 16522.6597160022 * tau] +
2.0e-10 * cos[0.75829381378 + 18314.9207790444 * tau] +
2.2e-10 * cos[5.30827572791 + 10207.7626219036 * tau] +
1.9e-10 * cos[5.92656850674 + 22805.7355659936 * tau] +
1.7e-10 * cos[3.02735393984 + 28528.2063252554 * tau] +
2.0e-10 * cos[2.48583613985 + 33794.5437235286 * tau] +
2.1e-10 * cos[4.30316190532 + 44809.6502008634 * tau] +
2.0e-10 * cos[3.68116637773 + 14128.2427712456 * tau] +
1.7e-10 * cos[5.44429906531 + 6681.2248533996 * tau] +
1.8e-10 * cos[2.29853355765 + 19264.0963880142 * tau] +
2.2e-10 * cos[5.88380811711 + 10218.8084705184 * tau] +
1.9e-10 * cos[3.65054338893 + 49515.382508407 * tau] +
2.7e-10 * cos[1.22555218015 + 42430.4857272918 * tau] +
1.9e-10 * cos[1.43653410349 + 27197.2816936676 * tau] +
2.5e-10 * cos[2.18447182965 + 27511.4678735372 * tau] +
2.0e-10 * cos[4.15140915983 + 2218.7571041868 * tau] +
2.1e-10 * cos[4.46897353468 + 53285.1848352418 * tau] +
2.3e-10 * cos[1.33505132122 + 65236.2212932854 * tau] +
2.2e-10 * cos[4.99040169444 + 31022.7531708562 * tau] +
2.0e-10 * cos[4.27086627368 + 31441.6775697568 * tau] +
2.7e-10 * cos[3.7244644608 + 19793.7873531088 * tau] +
2.2e-10 * cos[4.11184201321 + 19779.56025910719 * tau] +
2.8e-10 * cos[6.12038264955 + 38500.2760310722 * tau] +
2.2e-10 * cos[2.95281481673 + 40077.61957352 * tau] +
2.5e-10 * cos[4.75875623888 + 27991.40181316 * tau] +
2.1e-10 * cos[6.09897508157 + 18300.69368504279 * tau] +
2.7e-10 * cos[3.94986823486 + 17468.8551979454 * tau] +
3.0e-10 * cos[1.24986033487 + 27461.7108480654 * tau] +
2.2e-10 * cos[0.98102807789 + 426.598190876 * tau] +
2.5e-10 * cos[4.18690270765 + 44007.8292697396 * tau] +
2.8e-10 * cos[4.65181292126 + 1551.045222648 * tau] +
2.6e-10 * cos[0.46990555736 + 13745.3462390224 * tau] +
2.3e-10 * cos[1.00023735538 + 22779.4372461938 * tau] +
2.8e-10 * cos[4.19559784013 + 37674.9963942764 * tau] +
2.4e-10 * cos[0.73361964525 + 9411.4646150872 * tau] +
2.4e-10 * cos[4.38966861409 + 46386.9937433112 * tau] +
2.4e-10 * cos[2.74970637101 + 18947.7045183576 * tau] +
3.3e-10 * cos[0.93862065616 + 15720.8387848784 * tau] +
2.9e-10 * cos[2.79705093386 + 20007.0864485468 * tau] +
2.8e-10 * cos[3.58851614957 + 40853.142184844 * tau] +
2.5e-10 * cos[4.55050389739 + 14919.0178537546 * tau] +
2.8e-10 * cos[4.90613317287 + 29050.7837433492 * tau] +
3.2e-10 * cos[2.6426078826 + 41962.5207369374 * tau] +
2.7e-10 * cos[5.83705748551 + 17085.9586657222 * tau] +
3.1e-10 * cos[3.27727318906 + 19992.85935454519 * tau] +
3.5e-10 * cos[0.32247158762 + 1589.0728952838 * tau] +
3.1e-10 * cos[3.04423979263 + 40879.4405046438 * tau] +
2.9e-10 * cos[0.59718407064 + 59728.668054618 * tau] +
3.3e-10 * cos[1.08907268562 + 29864.334027309 * tau] +
2.8e-10 * cos[2.56454760402 + 94138.32702008578 * tau] +
3.1e-10 * cos[1.57612397319 + 36147.4098773004 * tau] +
3.4e-10 * cos[2.16487642765 + 64460.6986819614 * tau] +
4.4e-10 * cos[0.70533027806 + 20213.271996984 * tau] +
3.7e-10 * cos[4.93959675364 + 3340.6124266998 * tau] +
4.5e-10 * cos[4.59817214088 + 10192.5101507186 * tau] +
3.4e-10 * cos[3.45481114998 + 9830.3890139878 * tau] +
4.7e-10 * cos[0.0558943239 + 12432.0426503978 * tau] +
3.6e-10 * cos[2.02476324983 + 7058.5984613154 * tau] +
3.8e-10 * cos[0.11510547453 + 11272.6674764002 * tau] +
3.8e-10 * cos[1.12473430132 + 7.1135470008 * tau] +
4.0e-10 * cos[5.22874487975 + 21535.9496445154 * tau] +
4.9e-10 * cos[1.12423644455 + 3442.5749449654 * tau] +
3.8e-10 * cos[1.77428239418 + 10103.0792249916 * tau] +
5.1e-10 * cos[0.79154899901 + 23581.2581773176 * tau] +
4.0e-10 * cos[3.93466530964 + 20419.45754542119 * tau] +
5.3e-10 * cos[2.64370544855 + 15874.6175953632 * tau] +
5.0e-10 * cos[1.61783309819 + 36949.2308084242 * tau] +
5.2e-10 * cos[3.56658420552 + 7255.5696517344 * tau] +
4.7e-10 * cos[5.79444960738 + 68050.42387851159 * tau] +
4.9e-10 * cos[5.10267262491 + 19573.37471066999 * tau] +
5.7e-10 * cos[3.64912085313 + 10007.0999977738 * tau] +
6.0e-10 * cos[4.4875384617 + 18875.525869774 * tau] +
6.3e-10 * cos[4.32339245083 + 12592.4500197826 * tau] +
5.4e-10 * cos[5.15939119644 + 28286.9904848612 * tau] +
5.4e-10 * cos[3.38449893196 + 10426.584641649 * tau] +
6.0e-10 * cos[6.24603986632 + 32217.2001810808 * tau] +
6.4e-10 * cos[4.13127333938 + 9992.8729037722 * tau] +
6.1e-10 * cos[0.04044699966 + 9161.0171630226 * tau] +
5.9e-10 * cos[3.34348033725 + 10787.6303445458 * tau] +
8.1e-10 * cos[4.88025042367 + 4732.0306273434 * tau] +
6.9e-10 * cos[0.83385751986 + 3128.3887650958 * tau] +
6.4e-10 * cos[2.69215119482 + 16983.9961474566 * tau] +
8.6e-10 * cos[2.21505615071 + 8094.5216858326 * tau] +
8.2e-10 * cos[4.80683817059 + 3930.2096962196 * tau] +
8.7e-10 * cos[0.15771136594 + 33019.0211122046 * tau] +
8.1e-10 * cos[6.19048382717 + 20618.0193585336 * tau] +
1.07e-9 * cos[1.77067111589 + 17778.11626694899 * tau] +
8.4e-10 * cos[0.56950139213 + 9683.5945811164 * tau] +
7.9e-10 * cos[0.64440357793 + 18844.61174413899 * tau] +
8.5e-10 * cos[5.84471458481 + 10234.0609417034 * tau] +
9.8e-10 * cos[3.78447692407 + 213.299095438 * tau] +
1.12e-9 * cos[4.04771058036 + 9103.9069941176 * tau] +
9.2e-10 * cos[0.22936081655 + 18830.38465013739 * tau] +
1.17e-9 * cos[0.57543238496 + 9999.986450773 * tau] +
1.02e-9 * cos[1.53637788668 + 17277.4069318338 * tau] +
1.36e-9 * cos[5.09581116181 + 19367.1891622328 * tau] +
1.04e-9 * cos[4.27865011376 + 9573.388259897 * tau] +
1.45e-9 * cos[0.36415036222 + 9146.790069021 * tau] +
1.24e-9 * cos[0.67547060274 + 3723.508958923 * tau] +
1.15e-9 * cos[3.56897715344 + 24356.7807886416 * tau] +
1.14e-9 * cos[0.00114012635 + 25934.1243310894 * tau] +
1.47e-9 * cos[6.16092774714 + 8662.240323563 * tau] +
1.21e-9 * cos[6.26589208179 + 29580.4747084438 * tau] +
1.27e-9 * cos[4.49298610074 + 3532.0606928114 * tau] +
1.46e-9 * cos[1.37568138685 + 10220.3990932118 * tau] +
1.50e-9 * cos[5.02227334847 + 29088.811415985 * tau] +
1.51e-9 * cos[0.81278755582 + 6770.7106012456 * tau] +
1.51e-9 * cos[5.11341268743 + 28521.0927782546 * tau] +
1.63e-9 * cos[1.13604744392 + 13936.794505134 * tau] +
2.12e-9 * cos[3.15264941106 + 14945.3161735544 * tau] +
2.16e-9 * cos[2.54741101724 + 19651.048481098 * tau] +
2.06e-9 * cos[0.31907973682 + 382.8965322232 * tau] +
2.41e-9 * cos[1.13551531894 + 26.2983197998 * tau] +
2.04e-9 * cos[4.87348390351 + 7860.4193924392 * tau] +
2.30e-9 * cos[6.1340634559 + 1059.3819301892 * tau] +
2.12e-9 * cos[4.27038489878 + 4705.7323075436 * tau] +
2.75e-9 * cos[5.65814317085 + 19896.8801273274 * tau] +
2.74e-9 * cos[5.73346687248 + 11790.6290886588 * tau] +
2.66e-9 * cos[3.57408827667 + 801.8209311238 * tau] +
2.23e-9 * cos[4.33581625553 + 19786.67380610799 * tau] +
2.91e-9 * cos[3.65846764668 + 25158.6017197654 * tau] +
3.39e-9 * cos[5.76768761396 + 10021.8372800994 * tau] +
3.30e-9 * cos[0.58817502306 + 16496.3613962024 * tau] +
3.13e-9 * cos[1.09734397626 + 4551.9534970588 * tau] +
3.64e-9 * cos[0.19369831864 + 19374.3027092336 * tau] +
3.75e-9 * cos[0.66142254036 + 19360.07561523199 * tau] +
3.34e-9 * cos[3.18175822557 + 10988.808157535 * tau] +
3.91e-9 * cos[0.78974645621 + 9690.7081281172 * tau] +
4.18e-9 * cos[1.26803034691 + 9676.4810341156 * tau] +
4.26e-9 * cos[1.0216144312 + 7064.1213856228 * tau] +
5.01e-9 * cos[5.56479589366 + 10742.9765113056 * tau] +
5.15e-9 * cos[4.34331395104 + 9786.687355335 * tau] +
5.54e-9 * cos[2.17186191243 + 18307.8072320436 * tau] +
6.62e-9 * cos[2.86880467345 + 8624.2126509272 * tau] +
5.76e-9 * cos[2.25212731258 + 21228.3920235458 * tau] +
5.20e-9 * cos[5.33201358267 + 14143.4952424306 * tau] +
5.27e-9 * cos[5.86792949279 + 2352.8661537718 * tau] +
6.15e-9 * cos[3.14417599741 + 10186.9872264112 * tau] +
6.38e-9 * cos[4.10125791268 + 191.4482661116 * tau] +
8.47e-9 * cos[0.44119876869 + 8635.9420037632 * tau] +
6.52e-9 * cos[5.07444932607 + 22003.9146348698 * tau] +
8.24e-9 * cos[3.74837629121 + 7084.8967811152 * tau] +
8.45e-9 * cos[5.48504338112 + 529.6909650946 * tau] +
8.18e-9 * cos[0.90016838097 + 5661.3320491522 * tau] +
9.04e-9 * cos[0.81413053841 + 10596.1820784342 * tau] +
8.87e-9 * cos[2.47785193216 + 3154.6870848956 * tau] +
1.071e-8 * cos[4.94792017474 + 6283.0758499914 * tau] +
8.49e-9 * cos[5.5864157194 + 12566.1516999828 * tau] +
8.84e-9 * cos[0.66706834422 + 18073.7049386502 * tau] +
9.15e-9 * cos[4.59854496966 + 1109.3785520934 * tau] +
1.001e-8 * cos[6.16555101536 + 10239.5838660108 * tau] +
1.169e-8 * cos[0.79431893441 + 17298.1823273262 * tau] +
1.303e-8 * cos[0.20613045603 + 11322.6640983044 * tau] +
1.845e-8 * cos[1.87612936641 + 11015.1064773348 * tau] +
1.782e-8 * cos[2.64808558644 + 30639.856638633 * tau] +
2.094e-8 * cos[2.55137285015 + 18837.49819713819 * tau] +
2.194e-8 * cos[2.05314419626 + 775.522611324 * tau] +
2.666e-8 * cos[2.82413291285 + 10206.1719992102 * tau] +
3.840e-8 * cos[5.66196924375 + 13367.9726311066 * tau] +
4.667e-8 * cos[3.87683960551 + 9153.9036160218 * tau] +
6.599e-8 * cos[5.97703999838 + 5507.5532386674 * tau] +
9.124e-8 * cos[4.53540907003 + 10404.7338123226 * tau] +
1.0568e-7 * cos[4.59168210921 + 1577.3435424478 * tau] +
2.3864e-7 * cos[1.11274502648 + 9437.762934887 * tau] +
0.00000233998 * cos[3.14159265359 + 0.0 * tau] +
0.00000234203 * cos[1.77224942714 + 20426.571092422 * tau] +
0.00034551039 * cos[0.89198710598 + 10213.285546211 * tau];
R2 = 9e-11 * cos[5.97856553283 + 9683.5945811164 * tau] +
8e-11 * cos[4.67523115598 + 25934.1243310894 * tau] +
8e-11 * cos[3.63520673832 + 1059.3819301892 * tau] +
1.0e-10 * cos[2.179013099 + 3723.508958923 * tau] +
1.1e-10 * cos[2.58708635685 + 9103.9069941176 * tau] +
1.0e-10 * cos[1.87933121728 + 24356.7807886416 * tau] +
1.2e-10 * cos[4.45255110769 + 15720.8387848784 * tau] +
1.2e-10 * cos[2.54141086214 + 7064.1213856228 * tau] +
1.5e-10 * cos[4.83166312889 + 18875.525869774 * tau] +
1.3e-10 * cos[5.43981998532 + 25158.6017197654 * tau] +
1.3e-10 * cos[3.06303088617 + 10742.9765113056 * tau] +
1.4e-10 * cos[3.57896195191 + 10988.808157535 * tau] +
1.4e-10 * cos[3.14801263138 + 19367.1891622328 * tau] +
1.4e-10 * cos[1.79922718553 + 9830.3890139878 * tau] +
1.4e-10 * cos[2.83786355803 + 19786.67380610799 * tau] +
1.5e-10 * cos[5.05571633205 + 33019.0211122046 * tau] +
1.6e-10 * cos[3.35893297896 + 28286.9904848612 * tau] +
1.8e-10 * cos[4.62463651925 + 19651.048481098 * tau] +
1.9e-10 * cos[5.24505118517 + 19896.8801273274 * tau] +
2.1e-10 * cos[3.77813434325 + 21228.3920235458 * tau] +
2.5e-10 * cos[5.71401244457 + 21202.093703746 * tau] +
2.1e-10 * cos[2.52643834111 + 529.6909650946 * tau] +
2.2e-10 * cos[3.17741520378 + 28521.0927782546 * tau] +
2.9e-10 * cos[3.8296717881 + 10186.9872264112 * tau] +
2.6e-10 * cos[3.64313769818 + 29088.811415985 * tau] +
2.5e-10 * cos[3.32908650295 + 18307.8072320436 * tau] +
3.2e-10 * cos[1.84138997078 + 382.8965322232 * tau] +
3.5e-10 * cos[3.62868651241 + 801.8209311238 * tau] +
3.1e-10 * cos[0.45714618479 + 26.2983197998 * tau] +
3.4e-10 * cos[2.16381407025 + 16496.3613962024 * tau] +
4.4e-10 * cos[4.42979374073 + 7860.4193924392 * tau] +
4.2e-10 * cos[3.39360926939 + 14945.3161735544 * tau] +
3.4e-10 * cos[3.24663787383 + 22003.9146348698 * tau] +
3.4e-10 * cos[3.91721765773 + 10021.8372800994 * tau] +
4.6e-10 * cos[3.30090415967 + 6283.0758499914 * tau] +
3.5e-10 * cos[3.10133256432 + 4705.7323075436 * tau] +
3.9e-10 * cos[4.77190210316 + 18073.7049386502 * tau] +
3.7e-10 * cos[6.17871126027 + 1109.3785520934 * tau] +
4.1e-10 * cos[1.83997113019 + 11322.6640983044 * tau] +
4.6e-10 * cos[3.40293459332 + 14143.4952424306 * tau] +
4.8e-10 * cos[2.54730918293 + 17298.1823273262 * tau] +
4.8e-10 * cos[5.5089818955 + 191.4482661116 * tau] +
4.8e-10 * cos[4.26620187144 + 2352.8661537718 * tau] +
6.5e-10 * cos[2.4798370999 + 11790.6290886588 * tau] +
6.7e-10 * cos[3.76089669118 + 18837.49819713819 * tau] +
9.2e-10 * cos[0.72664449269 + 12566.1516999828 * tau] +
1.12e-9 * cos[2.36235956804 + 10596.1820784342 * tau] +
1.18e-9 * cos[2.62358866565 + 8635.9420037632 * tau] +
1.60e-9 * cos[2.21564938463 + 3154.6870848956 * tau] +
1.20e-9 * cos[5.85815843789 + 9153.9036160218 * tau] +
1.68e-9 * cos[3.64495311632 + 7084.8967811152 * tau] +
1.75e-9 * cos[6.1667465295 + 30639.856638633 * tau] +
1.68e-9 * cos[1.10765197296 + 13367.9726311066 * tau] +
2.07e-9 * cos[5.63406721595 + 10239.5838660108 * tau] +
3.72e-9 * cos[2.33222828423 + 775.522611324 * tau] +
3.89e-9 * cos[1.95017779915 + 11015.1064773348 * tau] +
3.10e-9 * cos[1.38984998403 + 5507.5532386674 * tau] +
3.61e-9 * cos[6.11914188253 + 10404.7338123226 * tau] +
4.88e-9 * cos[6.27806914496 + 1577.3435424478 * tau] +
1.099e-8 * cos[2.78883988292 + 9437.762934887 * tau] +
1.3059e-7 * cos[0.0 + 0.0 * tau] +
1.5529e-7 * cos[5.47321687981 + 20426.571092422 * tau] +
0.00001406587 * cos[5.0636639519 + 10213.285546211 * tau];
R3 = 5e-11 * cos[0.68781956122 + 8635.9420037632 * tau] +
6e-11 * cos[0.20714935358 + 10186.9872264112 * tau] +
9e-11 * cos[4.19802043629 + 10239.5838660108 * tau] +
1.3e-10 * cos[3.77448689585 + 30639.856638633 * tau] +
1.12e-9 * cos[3.14159265359 + 0.0 * tau] +
8.31e-9 * cos[3.21219077104 + 20426.571092422 * tau] +
4.9582e-7 * cos[3.2226355452 + 10213.285546211 * tau];
R4 = 6e-11 * cos[3.14159265359 + 0.0 * tau] +
4.0e-10 * cos[0.95468912157 + 20426.571092422 * tau] +
5.73e-9 * cos[0.9222969782 + 10213.285546211 * tau];
R5 = 2e-11 * cos[5.29627718483 + 20426.571092422 * tau] +
4.5e-10 * cos[0.30032866722 + 10213.285546211 * tau];
L = ((L0 + L1 tau + L2 tau^2 + L3 tau^3 + L4 tau^4 + L5 tau^5) radians) mod circle
B = ((B0 + B1 tau + B2 tau^2 + B3 tau^3 + B4 tau^4 + B5 tau^5) radians) mod circle
R = (R0 + R1 tau + R2 tau^2 + R3 tau^3 + R4 tau^4 + R5 tau^5) au
return [L, B, R]
}
//
// Earth
//
// This function calculates the heliocentric coordinates of Earth
// referred to the mean equinox *of the date*. You may want to convert this
// to another coordinate system, such as FK5.
//
// arguments:
// d: the date/time to be calculated for
//
// returns:
// [L, B, R]
//
// Where
// L is the heliocentric longitude,
// B is the heliocentric latitude
// R is the distance from the sun.
class var EarthHeliocentricCoordinates = {|d|
tau = meeusT[d] / 10
L0 = 4.9e-10 * cos[2.44790934886 + 13613.804277336 * tau] +
4.5e-10 * cos[3.18590558749 + 45585.1728121874 * tau] +
3.9e-10 * cos[1.20838190039 + 18842.11400297339 * tau] +
4.0e-10 * cos[5.55145719241 + 12565.1713789146 * tau] +
4.5e-10 * cos[2.95671076719 + 24602.61243487099 * tau] +
5.1e-10 * cos[1.12657183874 + 82576.98122099529 * tau] +
6.2e-10 * cos[2.88876342225 + 9411.4646150872 * tau] +
5.3e-10 * cos[4.88573986961 + 77717.29458646949 * tau] +
5.3e-10 * cos[5.51119362045 + 77710.24834977149 * tau] +
6.6e-10 * cos[3.92262333487 + 69853.35207568129 * tau] +
5.7e-10 * cos[4.18217219541 + 26087.9031415742 * tau] +
6.5e-10 * cos[3.72178394016 + 12573.2652469836 * tau] +
6.1e-10 * cos[5.63297958433 + 7863.9425107882 * tau] +
6.1e-10 * cos[0.05695043232 + 7856.89627409019 * tau] +
5.7e-10 * cos[3.90629505268 + 5999.2165311262 * tau] +
7.9e-10 * cos[5.59773841328 + 71960.38658322369 * tau] +
6.2e-10 * cos[3.32967880172 + 15508.6151232744 * tau] +
6.7e-10 * cos[5.77851227793 + 6311.5250374592 * tau] +
7.6e-10 * cos[1.76418124905 + 41654.9631159678 * tau] +
9.3e-10 * cos[2.52267536308 + 48739.859897083 * tau] +
8.4e-10 * cos[0.46604373274 + 45.1412196366 * tau] +
7.3e-10 * cos[3.05008665738 + 567.7186377304 * tau] +
7.4e-10 * cos[5.49813051211 + 29026.48522950779 * tau] +
7.9e-10 * cos[3.03048221644 + 838.9692877504 * tau] +
7.8e-10 * cos[6.0694939168 + 148434.53403769129 * tau] +
9.5e-10 * cos[4.13387406591 + 18216.443810661 * tau] +
8.3e-10 * cos[4.90662164029 + 51.28033786241 * tau] +
8.8e-10 * cos[2.09872810657 + 238004.52415723629 * tau] +
8.0e-10 * cos[6.19781316983 + 6709.6740408674 * tau] +
1.06e-9 * cos[5.49092372854 + 62883.3551395136 * tau] +
8.6e-10 * cos[4.01887374432 + 12491.3701014155 * tau] +
8.8e-10 * cos[2.10180220766 + 26482.1708096244 * tau] +
1.07e-9 * cos[4.91580912547 + 277.0349937414 * tau] +
8.7e-10 * cos[4.32472045435 + 742.9900605326 * tau] +
1.09e-9 * cos[1.94546030825 + 24279.10701821359 * tau] +
8.7e-10 * cos[4.40657711727 + 142.1786270362 * tau] +
1.10e-9 * cos[3.32898859416 + 72140.62866668739 * tau] +
1.04e-9 * cos[1.08739495962 + 6288.5987742988 * tau] +
1.07e-9 * cos[5.77864921649 + 34115.1140692746 * tau] +
1.01e-9 * cos[4.18796434479 + 30666.1549584328 * tau] +
8.0e-10 * cos[1.84900424847 + 21424.4666443034 * tau] +
8.8e-10 * cos[3.2113316569 + 33326.5787331742 * tau] +
9.5e-10 * cos[2.87032884659 + 23020.65308658799 * tau] +
8.6e-10 * cos[4.61919461931 + 36147.4098773004 * tau] +
8.2e-10 * cos[0.87060089842 + 10241.2022911672 * tau] +
1.01e-9 * cos[5.32081603011 + 2301.58581590939 * tau] +
8.7e-10 * cos[3.43122851097 + 27707.5424942948 * tau] +
8.2e-10 * cos[4.80703651241 + 6819.8803620868 * tau] +
8.9e-10 * cos[4.45371820659 + 792.7748884674 * tau] +
8.3e-10 * cos[0.18241793425 + 15141.390794312 * tau] +
1.17e-9 * cos[0.78475956902 + 83286.91426955358 * tau] +
1.10e-9 * cos[3.68205877433 + 22380.755800274 * tau] +
1.04e-9 * cos[3.39218586218 + 290.972865866 * tau] +
1.02e-9 * cos[1.04031728553 + 95143.1329209781 * tau] +
1.24e-9 * cos[3.43899862683 + 172146.97134054029 * tau] +
1.08e-9 * cos[0.52696637156 + 276.7457718644 * tau] +
9.5e-10 * cos[3.0382374111 + 8982.810669309 * tau] +
9.4e-10 * cos[5.58132218606 + 3104.9300594238 * tau] +
9.4e-10 * cos[0.6899787606 + 7834.1210726394 * tau] +
1.26e-9 * cos[3.21642544972 + 305281.94307104882 * tau] +
9.9e-10 * cos[1.37437847718 + 1039.0266107904 * tau] +
1.16e-9 * cos[4.19967201116 + 206.7007372966 * tau] +
9.7e-10 * cos[0.89642320201 + 71980.63357473118 * tau] +
1.06e-9 * cos[1.0015665359 + 16522.6597160022 * tau] +
9.5e-10 * cos[2.89807657534 + 34911.412076091 * tau] +
9.4e-10 * cos[4.30965982872 + 26880.3198130326 * tau] +
9.4e-10 * cos[1.99595224256 + 13362.4497067992 * tau] +
1.19e-9 * cos[1.21689479331 + 1478.8665740644 * tau] +
1.02e-9 * cos[0.66938025772 + 10239.5838660108 * tau] +
1.25e-9 * cos[2.7216443296 + 24065.80792277559 * tau] +
9.8e-10 * cos[4.37041908717 + 34513.2630726828 * tau] +
9.7e-10 * cos[3.34717130592 + 16310.9790457206 * tau] +
9.8e-10 * cos[1.28118280598 + 21548.9623692918 * tau] +
1.00e-9 * cos[3.95534628189 + 5547.1993364596 * tau] +
1.17e-9 * cos[5.17362872063 + 34520.3093093808 * tau] +
1.08e-9 * cos[0.9898977494 + 5636.0650166766 * tau] +
1.03e-9 * cos[0.40004073416 + 90279.92316810328 * tau] +
1.38e-9 * cos[2.45654707999 + 7576.560073574 * tau] +
1.29e-9 * cos[1.23567904485 + 12029.3471878874 * tau] +
1.01e-9 * cos[4.91289409429 + 401.6721217572 * tau] +
1.37e-9 * cos[1.43510636754 + 86464.61331683119 * tau] +
1.02e-9 * cos[4.75119578149 + 12242.6462833254 * tau] +
1.05e-9 * cos[1.78318141871 + 18139.2945014159 * tau] +
1.10e-9 * cos[1.08682570828 + 2787.0430238574 * tau] +
1.24e-9 * cos[3.27736514057 + 12566.08438968 * tau] +
1.25e-9 * cos[1.14419195615 + 625.6701923124 * tau] +
1.43e-9 * cos[1.81201813018 + 4214.0690150848 * tau] +
1.07e-9 * cos[5.71774478555 + 77736.78343050249 * tau] +
1.18e-9 * cos[4.5232017012 + 19004.6479494084 * tau] +
1.07e-9 * cos[4.67919356465 + 77690.75950573849 * tau] +
1.02e-9 * cos[4.12448497391 + 15664.03552270859 * tau] +
1.05e-9 * cos[4.82620858888 + 33794.5437235286 * tau] +
1.04e-9 * cos[1.54931540602 + 127.9515330346 * tau] +
1.12e-9 * cos[6.05401806281 + 433.7117378768 * tau] +
1.40e-9 * cos[1.09413073202 + 44809.6502008634 * tau] +
1.30e-9 * cos[4.85539251 + 22345.2603761082 * tau] +
1.15e-9 * cos[4.58880032176 + 26709.6469424134 * tau] +
1.22e-9 * cos[0.93575234049 + 24492.40611365159 * tau] +
1.15e-9 * cos[0.23374479051 + 418.9243989006 * tau] +
1.19e-9 * cos[2.40637635942 + 18635.9284545362 * tau] +
1.12e-9 * cos[4.92889233335 + 56.8032621698 * tau] +
1.12e-9 * cos[3.39403722178 + 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] +
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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&nbs