#include "erfa.h"
void eraXy06(double date1, double date2, double *x, double *y)
/*
** - - - - - - - -
** e r a X y 0 6
** - - - - - - - -
**
** X,Y coordinates of celestial intermediate pole from series based
** on IAU 2006 precession and IAU 2000A nutation.
**
** Given:
** date1,date2 double TT as a 2-part Julian Date (Note 1)
**
** Returned:
** x,y double CIP X,Y coordinates (Note 2)
**
** Notes:
**
** 1) The TT date date1+date2 is a Julian Date, apportioned in any
** convenient way between the two arguments. For example,
** JD(TT)=2450123.7 could be expressed in any of these ways,
** among others:
**
** date1 date2
**
** 2450123.7 0.0 (JD method)
** 2451545.0 -1421.3 (J2000 method)
** 2400000.5 50123.2 (MJD method)
** 2450123.5 0.2 (date & time method)
**
** The JD method is the most natural and convenient to use in
** cases where the loss of several decimal digits of resolution
** is acceptable. The J2000 method is best matched to the way
** the argument is handled internally and will deliver the
** optimum resolution. The MJD method and the date & time methods
** are both good compromises between resolution and convenience.
**
** 2) The X,Y coordinates are those of the unit vector towards the
** celestial intermediate pole. They represent the combined effects
** of frame bias, precession and nutation.
**
** 3) The fundamental arguments used are as adopted in IERS Conventions
** (2003) and are from Simon et al. (1994) and Souchay et al.
** (1999).
**
** 4) This is an alternative to the angles-based method, via the ERFA
** function eraFw2xy and as used in eraXys06a for example. The two
** methods agree at the 1 microarcsecond level (at present), a
** negligible amount compared with the intrinsic accuracy of the
** models. However, it would be unwise to mix the two methods
** (angles-based and series-based) in a single application.
**
** Called:
** eraFal03 mean anomaly of the Moon
** eraFalp03 mean anomaly of the Sun
** eraFaf03 mean argument of the latitude of the Moon
** eraFad03 mean elongation of the Moon from the Sun
** eraFaom03 mean longitude of the Moon's ascending node
** eraFame03 mean longitude of Mercury
** eraFave03 mean longitude of Venus
** eraFae03 mean longitude of Earth
** eraFama03 mean longitude of Mars
** eraFaju03 mean longitude of Jupiter
** eraFasa03 mean longitude of Saturn
** eraFaur03 mean longitude of Uranus
** eraFane03 mean longitude of Neptune
** eraFapa03 general accumulated precession in longitude
**
** References:
**
** Capitaine, N., Wallace, P.T. & Chapront, J., 2003,
** Astron.Astrophys., 412, 567
**
** Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855
**
** McCarthy, D. D., Petit, G. (eds.), 2004, IERS Conventions (2003),
** IERS Technical Note No. 32, BKG
**
** Simon, J.L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
** Francou, G. & Laskar, J., Astron.Astrophys., 1994, 282, 663
**
** Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M., 1999,
** Astron.Astrophys.Supp.Ser. 135, 111
**
** Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981
**
** Copyright (C) 2013-2016, NumFOCUS Foundation.
** Derived, with permission, from the SOFA library. See notes at end of file.
*/
{
/* Maximum power of T in the polynomials for X and Y */
enum { MAXPT = 5 };
/* Polynomial coefficients (arcsec, X then Y). */
static const double xyp[2][MAXPT+1] = {
{ -0.016617,
2004.191898,
-0.4297829,
-0.19861834,
0.000007578,
0.0000059285
},
{ -0.006951,
-0.025896,
-22.4072747,
0.00190059,
0.001112526,
0.0000001358
}
};
/* Fundamental-argument multipliers: luni-solar terms */
static const int mfals[][5] = {
/* 1-10 */
{ 0, 0, 0, 0, 1 },
{ 0, 0, 2, -2, 2 },
{ 0, 0, 2, 0, 2 },
{ 0, 0, 0, 0, 2 },
{ 0, 1, 0, 0, 0 },
{ 0, 1, 2, -2, 2 },
{ 1, 0, 0, 0, 0 },
{ 0, 0, 2, 0, 1 },
{ 1, 0, 2, 0, 2 },
{ 0, 1, -2, 2, -2 },
/* 11-20 */
{ 0, 0, 2, -2, 1 },
{ 1, 0, -2, 0, -2 },
{ 1, 0, 0, -2, 0 },
{ 1, 0, 0, 0, 1 },
{ 1, 0, 0, 0, -1 },
{ 1, 0, -2, -2, -2 },
{ 1, 0, 2, 0, 1 },
{ 2, 0, -2, 0, -1 },
{ 0, 0, 0, 2, 0 },
{ 0, 0, 2, 2, 2 },
/* 21-30 */
{ 2, 0, 0, -2, 0 },
{ 0, 2, -2, 2, -2 },
{ 2, 0, 2, 0, 2 },
{ 1, 0, 2, -2, 2 },
{ 1, 0, -2, 0, -1 },
{ 2, 0, 0, 0, 0 },
{ 0, 0, 2, 0, 0 },
{ 0, 1, 0, 0, 1 },
{ 1, 0, 0, -2, -1 },
{ 0, 2, 2, -2, 2 },
/* 31-40 */
{ 0, 0, 2, -2, 0 },
{ 1, 0, 0, -2, 1 },
{ 0, 1, 0, 0, -1 },
{ 0, 2, 0, 0, 0 },
{ 1, 0, -2, -2, -1 },
{ 1, 0, 2, 2, 2 },
{ 0, 1, 2, 0, 2 },
{ 2, 0, -2, 0, 0 },
{ 0, 0, 2, 2, 1 },
{ 0, 1, -2, 0, -2 },
/* 41-50 */
{ 0, 0, 0, 2, 1 },
{ 1, 0, 2, -2, 1 },
{ 2, 0, 0, -2, -1 },
{ 2, 0, 2, -2, 2 },
{ 2, 0, 2, 0, 1 },
{ 0, 0, 0, 2, -1 },
{ 0, 1, -2, 2, -1 },
{ 1, 1, 0, -2, 0 },
{ 2, 0, 0, -2, 1 },
{ 1, 0, 0, 2, 0 },
/* 51-60 */
{ 0, 1, 2, -2, 1 },
{ 1, -1, 0, 0, 0 },
{ 0, 1, -1, 1, -1 },
{ 2, 0, -2, 0, -2 },
{ 0, 1, 0, -2, 0 },
{ 1, 0, 0, -1, 0 },
{ 3, 0, 2, 0, 2 },
{ 0, 0, 0, 1, 0 },
{ 1, -1, 2, 0, 2 },
{ 1, 1, -2, -2, -2 },
/* 61-70 */
{ 1, 0, -2, 0, 0 },
{ 2, 0, 0, 0, -1 },
{ 0, 1, -2, -2, -2 },
{ 1, 1, 2, 0, 2 },
{ 2, 0, 0, 0, 1 },
{ 1, 1, 0, 0, 0 },
{ 1, 0, -2, 2, -1 },
{ 1, 0, 2, 0, 0 },
{ 1, -1, 0, -1, 0 },
{ 1, 0, 0, 0, 2 },
/* 71-80 */
{ 1, 0, -1, 0, -1 },
{ 0, 0, 2, 1, 2 },
{ 1, 0, -2, -4, -2 },
{ 1, -1, 0, -1, -1 },
{ 1, 0, 2, 2, 1 },
{ 0, 2, -2, 2, -1 },
{ 1, 0, 0, 0, -2 },
{ 2, 0, -2, -2, -2 },
{ 1, 1, 2, -2, 2 },
{ 2, 0, -2, -4, -2 },
/* 81-90 */
{ 1, 0, -4, 0, -2 },
{ 2, 0, 2, -2, 1 },
{ 1, 0, 0, -1, -1 },
{ 2, 0, 2, 2, 2 },
{ 3, 0, 0, 0, 0 },
{ 1, 0, 0, 2, 1 },
{ 0, 0, 2, -2, -1 },
{ 3, 0, 2, -2, 2 },
{ 0, 0, 4, -2, 2 },
{ 1, 0, 0, -4, 0 },
/* 91-100 */
{ 0, 1, 2, 0, 1 },
{ 2, 0, 0, -4, 0 },
{ 1, 1, 0, -2, -1 },
{ 2, 0, -2, 0, 1 },
{ 0, 0, 2, 0, -1 },
{ 0, 1, -2, 0, -1 },
{ 0, 1, 0, 0, 2 },
{ 0, 0, 2, -1, 2 },
{ 0, 0, 2, 4, 2 },
{ 2, 1, 0, -2, 0 },
/* 101-110 */
{ 1, 1, 0, -2, 1 },
{ 1, -1, 0, -2, 0 },
{ 1, -1, 0, -1, -2 },
{ 1, -1, 0, 0, 1 },
{ 0, 1, -2, 2, 0 },
{ 0, 1, 0, 0, -2 },
{ 1, -1, 2, 2, 2 },
{ 1, 0, 0, 2, -1 },
{ 1, -1, -2, -2, -2 },
{ 3, 0, 2, 0, 1 },
/* 111-120 */
{ 0, 1, 2, 2, 2 },
{ 1, 0, 2, -2, 0 },
{ 1, 1, -2, -2, -1 },
{ 1, 0, 2, -4, 1 },
{ 0, 1, -2, -2, -1 },
{ 2, -1, 2, 0, 2 },
{ 0, 0, 0, 2, 2 },
{ 1, -1, 2, 0, 1 },
{ 1, -1, -2, 0, -2 },
{ 0, 1, 0, 2, 0 },
/* 121-130 */
{ 0, 1, 2, -2, 0 },
{ 0, 0, 0, 1, 1 },
{ 1, 0, -2, -2, 0 },
{ 0, 3, 2, -2, 2 },
{ 2, 1, 2, 0, 2 },
{ 1, 1, 0, 0, 1 },
{ 2, 0, 0, 2, 0 },
{ 1, 1, 2, 0, 1 },
{ 1, 0, 0, -2, -2 },
{ 1, 0, -2, 2, 0 },
/* 131-140 */
{ 1, 0, -1, 0, -2 },
{ 0, 1, 0, -2, 1 },
{ 0, 1, 0, 1, 0 },
{ 0, 0, 0, 1, -1 },
{ 1, 0, -2, 2, -2 },
{ 1, -1, 0, 0, -1 },
{ 0, 0, 0, 4, 0 },
{ 1, -1, 0, 2, 0 },
{ 1, 0, 2, 1, 2 },
{ 1, 0, 2, -1, 2 },
/* 141-150 */
{ 0, 0, 2, 1, 1 },
{ 1, 0, 0, -2, 2 },
{ 1, 0, -2, 0, 1 },
{ 1, 0, -2, -4, -1 },
{ 0, 0, 2, 2, 0 },
{ 1, 1, 2, -2, 1 },
{ 1, 0, -2, 1, -1 },
{ 0, 0, 1, 0, 1 },
{ 2, 0, -2, -2, -1 },
{ 4, 0, 2, 0, 2 },
/* 151-160 */
{ 2, -1, 0, 0, 0 },
{ 2, 1, 2, -2, 2 },
{ 0, 1, 2, 1, 2 },
{ 1, 0, 4, -2, 2 },
{ 1, 1, 0, 0, -1 },
{ 2, 0, 2, 0, 0 },
{ 2, 0, -2, -4, -1 },
{ 1, 0, -1, 0, 0 },
{ 1, 0, 0, 1, 0 },
{ 0, 1, 0, 2, 1 },
/* 161-170 */
{ 1, 0, -4, 0, -1 },
{ 1, 0, 0, -4, -1 },
{ 2, 0, 2, 2, 1 },
{ 2, 1, 0, 0, 0 },
{ 0, 0, 2, -3, 2 },
{ 1, 2, 0, -2, 0 },
{ 0, 3, 0, 0, 0 },
{ 0, 0, 4, 0, 2 },
{ 0, 0, 2, -4, 1 },
{ 2, 0, 0, -2, -2 },
/* 171-180 */
{ 1, 1, -2, -4, -2 },
{ 0, 1, 0, -2, -1 },
{ 0, 0, 0, 4, 1 },
{ 3, 0, 2, -2, 1 },
{ 1, 0, 2, 4, 2 },
{ 1, 1, -2, 0, -2 },
{ 0, 0, 4, -2, 1 },
{ 2, -2, 0, -2, 0 },
{ 2, 1, 0, -2, -1 },
{ 0, 2, 0, -2, 0 },
/* 181-190 */
{ 1, 0, 0, -1, 1 },
{ 1, 1, 2, 2, 2 },
{ 3, 0, 0, 0, -1 },
{ 2, 0, 0, -4, -1 },
{ 3, 0, 2, 2, 2 },
{ 0, 0, 2, 4, 1 },
{ 0, 2, -2, -2, -2 },
{ 1, -1, 0, -2, -1 },
{ 0, 0, 2, -1, 1 },
{ 2, 0, 0, 2, 1 },
/* 191-200 */
{ 1, -1, -2, 2, -1 },
{ 0, 0, 0, 2, -2 },
{ 2, 0, 0, -4, 1 },
{ 1, 0, 0, -4, 1 },
{ 2, 0, 2, -4, 1 },
{ 4, 0, 2, -2, 2 },
{ 2, 1, -2, 0, -1 },
{ 2, 1, -2, -4, -2 },
{ 3, 0, 0, -4, 0 },
{ 1, -1, 2, 2, 1 },
/* 201-210 */
{ 1, -1, -2, 0, -1 },
{ 0, 2, 0, 0, 1 },
{ 1, 2, -2, -2, -2 },
{ 1, 1, 0, -4, 0 },
{ 2, 0, 0, -2, 2 },
{ 0, 2, 2, -2, 1 },
{ 1, 0, 2, 0, -1 },
{ 2, 1, 0, -2, 1 },
{ 2, -1, -2, 0, -1 },
{ 1, -1, -2, -2, -1 },
/* 211-220 */
{ 0, 1, -2, 1, -2 },
{ 1, 0, -4, 2, -2 },
{ 0, 1, 2, 2, 1 },
{ 3, 0, 0, 0, 1 },
{ 2, -1, 2, 2, 2 },
{ 0, 1, -2, -4, -2 },
{ 1, 0, -2, -3, -2 },
{ 2, 0, 0, 0, 2 },
{ 1, -1, 0, -2, -2 },
{ 2, 0, -2, 2, -1 },
/* 221-230 */
{ 0, 2, -2, 0, -2 },
{ 3, 0, -2, 0, -1 },
{ 2, -1, 2, 0, 1 },
{ 1, 0, -2, -1, -2 },
{ 0, 0, 2, 0, 3 },
{ 2, 0, -4, 0, -2 },
{ 2, 1, 0, -4, 0 },
{ 1, 1, -2, 1, -1 },
{ 0, 2, 2, 0, 2 },
{ 1, -1, 2, -2, 2 },
/* 231-240 */
{ 1, -1, 0, -2, 1 },
{ 2, 1, 2, 0, 1 },
{ 1, 0, 2, -4, 2 },
{ 1, 1, -2, 0, -1 },
{ 1, 1, 0, 2, 0 },
{ 1, 0, 0, -3, 0 },
{ 2, 0, 2, -1, 2 },
{ 0, 2, 0, 0, -1 },
{ 2, -1, 0, -2, 0 },
{ 4, 0, 0, 0, 0 },
/* 241-250 */
{ 2, 1, -2, -2, -2 },
{ 0, 2, -2, 2, 0 },
{ 1, 0, 2, 1, 1 },
{ 1, 0, -1, 0, -3 },
{ 3, -1, 2, 0, 2 },
{ 2, 0, 2, -2, 0 },
{ 1, -2, 0, 0, 0 },
{ 2, 0, 0, 0, -2 },
{ 1, 0, 0, 4, 0 },
{ 0, 1, 0, 1, 1 },
/* 251-260 */
{ 1, 0, 2, 2, 0 },
{ 0, 1, 0, 2, -1 },
{ 0, 1, 0, 1, -1 },
{ 0, 0, 2, -2, 3 },
{ 3, 1, 2, 0, 2 },
{ 1, 1, 2, 1, 2 },
{ 1, 1, -2, 2, -1 },
{ 2, -1, 2, -2, 2 },
{ 1, -2, 2, 0, 2 },
{ 1, 0, 2, -4, 0 },
/* 261-270 */
{ 0, 0, 1, 0, 0 },
{ 1, 0, 2, -3, 1 },
{ 1, -2, 0, -2, 0 },
{ 2, 0, 0, 2, -1 },
{ 1, 1, 2, -4, 1 },
{ 4, 0, 2, 0, 1 },
{ 0, 1, 2, 1, 1 },
{ 1, 2, 2, -2, 2 },
{ 2, 0, 2, 1, 2 },
{ 2, 1, 2, -2, 1 },
/* 271-280 */
{ 1, 0, 2, -1, 1 },
{ 1, 0, 4, -2, 1 },
{ 1, -1, 2, -2, 1 },
{ 0, 1, 0, -4, 0 },
{ 3, 0, -2, -2, -2 },
{ 0, 0, 4, -4, 2 },
{ 2, 0, -4, -2, -2 },
{ 2, -2, 0, -2, -1 },
{ 1, 0, 2, -2, -1 },
{ 2, 0, -2, -6, -2 },
/* 281-290 */
{ 1, 0, -2, 1, -2 },
{ 1, 0, -2, 2, 1 },
{ 1, -1, 0, 2, -1 },
{ 1, 0, -2, 1, 0 },
{ 2, -1, 0, -2, 1 },
{ 1, -1, 0, 2, 1 },
{ 2, 0, -2, -2, 0 },
{ 1, 0, 2, -3, 2 },
{ 0, 0, 0, 4, -1 },
{ 2, -1, 0, 0, 1 },
/* 291-300 */
{ 2, 0, 4, -2, 2 },
{ 0, 0, 2, 3, 2 },
{ 0, 1, 4, -2, 2 },
{ 0, 1, -2, 2, 1 },
{ 1, 1, 0, 2, 1 },
{ 1, 0, 0, 4, 1 },
{ 0, 0, 4, 0, 1 },
{ 2, 0, 0, -3, 0 },
{ 1, 0, 0, -1, -2 },
{ 1, -2, -2, -2, -2 },
/* 301-310 */
{ 3, 0, 0, 2, 0 },
{ 2, 0, 2, -4, 2 },
{ 1, 1, -2, -4, -1 },
{ 1, 0, -2, -6, -2 },
{ 2, -1, 0, 0, -1 },
{ 2, -1, 0, 2, 0 },
{ 0, 1, 2, -2, -1 },
{ 1, 1, 0, 1, 0 },
{ 1, 2, 0, -2, -1 },
{ 1, 0, 0, 1, -1 },
/* 311-320 */
{ 0, 0, 1, 0, 2 },
{ 3, 1, 2, -2, 2 },
{ 1, 0, -4, -2, -2 },
{ 1, 0, 2, 4, 1 },
{ 1, -2, 2, 2, 2 },
{ 1, -1, -2, -4, -2 },
{ 0, 0, 2, -4, 2 },
{ 0, 0, 2, -3, 1 },
{ 2, 1, -2, 0, 0 },
{ 3, 0, -2, -2, -1 },
/* 321-330 */
{ 2, 0, 2, 4, 2 },
{ 0, 0, 0, 0, 3 },
{ 2, -1, -2, -2, -2 },
{ 2, 0, 0, -1, 0 },
{ 3, 0, 2, -4, 2 },
{ 2, 1, 2, 2, 2 },
{ 0, 0, 3, 0, 3 },
{ 1, 1, 2, 2, 1 },
{ 2, 1, 0, 0, -1 },
{ 1, 2, 0, -2, 1 },
/* 331-340 */
{ 3, 0, 2, 2, 1 },
{ 1, -1, -2, 2, -2 },
{ 1, 1, 0, -1, 0 },
{ 1, 2, 0, 0, 0 },
{ 1, 0, 4, 0, 2 },
{ 1, -1, 2, 4, 2 },
{ 2, 1, 0, 0, 1 },
{ 1, 0, 0, 2, 2 },
{ 1, -1, -2, 2, 0 },
{ 0, 2, -2, -2, -1 },
/* 341-350 */
{ 2, 0, -2, 0, 2 },
{ 5, 0, 2, 0, 2 },
{ 3, 0, -2, -6, -2 },
{ 1, -1, 2, -1, 2 },
{ 3, 0, 0, -4, -1 },
{ 1, 0, 0, 1, 1 },
{ 1, 0, -4, 2, -1 },
{ 0, 1, 2, -4, 1 },
{ 1, 2, 2, 0, 2 },
{ 0, 1, 0, -2, -2 },
/* 351-360 */
{ 0, 0, 2, -1, 0 },
{ 1, 0, 1, 0, 1 },
{ 0, 2, 0, -2, 1 },
{ 3, 0, 2, 0, 0 },
{ 1, 1, -2, 1, 0 },
{ 2, 1, -2, -4, -1 },
{ 3, -1, 0, 0, 0 },
{ 2, -1, -2, 0, 0 },
{ 4, 0, 2, -2, 1 },
{ 2, 0, -2, 2, 0 },
/* 361-370 */
{ 1, 1, 2, -2, 0 },
{ 1, 0, -2, 4, -1 },
{ 1, 0, -2, -2, 1 },
{ 2, 0, 2, -4, 0 },
{ 1, 1, 0, -2, -2 },
{ 1, 1, -2, -2, 0 },
{ 1, 0, 1, -2, 1 },
{ 2, -1, -2, -4, -2 },
{ 3, 0, -2, 0, -2 },
{ 0, 1, -2, -2, 0 },
/* 371-380 */
{ 3, 0, 0, -2, -1 },
{ 1, 0, -2, -3, -1 },
{ 0, 1, 0, -4, -1 },
{ 1, -2, 2, -2, 1 },
{ 0, 1, -2, 1, -1 },
{ 1, -1, 0, 0, 2 },
{ 2, 0, 0, 1, 0 },
{ 1, -2, 0, 2, 0 },
{ 1, 2, -2, -2, -1 },
{ 0, 0, 4, -4, 1 },
/* 381-390 */
{ 0, 1, 2, 4, 2 },
{ 0, 1, -4, 2, -2 },
{ 3, 0, -2, 0, 0 },
{ 2, -1, 2, 2, 1 },
{ 0, 1, -2, -4, -1 },
{ 4, 0, 2, 2, 2 },
{ 2, 0, -2, -3, -2 },
{ 2, 0, 0, -6, 0 },
{ 1, 0, 2, 0, 3 },
{ 3, 1, 0, 0, 0 },
/* 391-400 */
{ 3, 0, 0, -4, 1 },
{ 1, -1, 2, 0, 0 },
{ 1, -1, 0, -4, 0 },
{ 2, 0, -2, 2, -2 },
{ 1, 1, 0, -2, 2 },
{ 4, 0, 0, -2, 0 },
{ 2, 2, 0, -2, 0 },
{ 0, 1, 2, 0, 0 },
{ 1, 1, 0, -4, 1 },
{ 1, 0, 0, -4, -2 },
/* 401-410 */
{ 0, 0, 0, 1, 2 },
{ 3, 0, 0, 2, 1 },
{ 1, 1, 0, -4, -1 },
{ 0, 0, 2, 2, -1 },
{ 1, 1, 2, 0, 0 },
{ 1, -1, 2, -4, 1 },
{ 1, 1, 0, 0, 2 },
{ 0, 0, 2, 6, 2 },
{ 4, 0, -2, -2, -1 },
{ 2, 1, 0, -4, -1 },
/* 411-420 */
{ 0, 0, 0, 3, 1 },
{ 1, -1, -2, 0, 0 },
{ 0, 0, 2, 1, 0 },
{ 1, 0, 0, 2, -2 },
{ 3, -1, 2, 2, 2 },
{ 3, -1, 2, -2, 2 },
{ 1, 0, 0, -1, 2 },
{ 1, -2, 2, -2, 2 },
{ 0, 1, 0, 2, 2 },
{ 0, 1, -2, -1, -2 },
/* 421-430 */
{ 1, 1, -2, 0, 0 },
{ 0, 2, 2, -2, 0 },
{ 3, -1, -2, -1, -2 },
{ 1, 0, 0, -6, 0 },
{ 1, 0, -2, -4, 0 },
{ 2, 1, 0, -4, 1 },
{ 2, 0, 2, 0, -1 },
{ 2, 0, -4, 0, -1 },
{ 0, 0, 3, 0, 2 },
{ 2, 1, -2, -2, -1 },
/* 431-440 */
{ 1, -2, 0, 0, 1 },
{ 2, -1, 0, -4, 0 },
{ 0, 0, 0, 3, 0 },
{ 5, 0, 2, -2, 2 },
{ 1, 2, -2, -4, -2 },
{ 1, 0, 4, -4, 2 },
{ 0, 0, 4, -1, 2 },
{ 3, 1, 0, -4, 0 },
{ 3, 0, 0, -6, 0 },
{ 2, 0, 0, 2, 2 },
/* 441-450 */
{ 2, -2, 2, 0, 2 },
{ 1, 0, 0, -3, 1 },
{ 1, -2, -2, 0, -2 },
{ 1, -1, -2, -3, -2 },
{ 0, 0, 2, -2, -2 },
{ 2, 0, -2, -4, 0 },
{ 1, 0, -4, 0, 0 },
{ 0, 1, 0, -1, 0 },
{ 4, 0, 0, 0, -1 },
{ 3, 0, 2, -1, 2 },
/* 451-460 */
{ 3, -1, 2, 0, 1 },
{ 2, 0, 2, -1, 1 },
{ 1, 2, 2, -2, 1 },
{ 1, 1, 0, 2, -1 },
{ 0, 2, 2, 0, 1 },
{ 3, 1, 2, 0, 1 },
{ 1, 1, 2, 1, 1 },
{ 1, 1, 0, -1, 1 },
{ 1, -2, 0, -2, -1 },
{ 4, 0, 0, -4, 0 },
/* 461-470 */
{ 2, 1, 0, 2, 0 },
{ 1, -1, 0, 4, 0 },
{ 0, 1, 0, -2, 2 },
{ 0, 0, 2, 0, -2 },
{ 1, 0, -1, 0, 1 },
{ 3, 0, 2, -2, 0 },
{ 2, 0, 2, 2, 0 },
{ 1, 2, 0, -4, 0 },
{ 1, -1, 0, -3, 0 },
{ 0, 1, 0, 4, 0 },
/* 471 - 480 */
{ 0, 1, -2, 0, 0 },
{ 2, 2, 2, -2, 2 },
{ 0, 0, 0, 1, -2 },
{ 0, 2, -2, 0, -1 },
{ 4, 0, 2, -4, 2 },
{ 2, 0, -4, 2, -2 },
{ 2, -1, -2, 0, -2 },
{ 1, 1, 4, -2, 2 },
{ 1, 1, 2, -4, 2 },
{ 1, 0, 2, 3, 2 },
/* 481-490 */
{ 1, 0, 0, 4, -1 },
{ 0, 0, 0, 4, 2 },
{ 2, 0, 0, 4, 0 },
{ 1, 1, -2, 2, 0 },
{ 2, 1, 2, 1, 2 },
{ 2, 1, 2, -4, 1 },
{ 2, 0, 2, 1, 1 },
{ 2, 0, -4, -2, -1 },
{ 2, 0, -2, -6, -1 },
{ 2, -1, 2, -1, 2 },
/* 491-500 */
{ 1, -2, 2, 0, 1 },
{ 1, -2, 0, -2, 1 },
{ 1, -1, 0, -4, -1 },
{ 0, 2, 2, 2, 2 },
{ 0, 2, -2, -4, -2 },
{ 0, 1, 2, 3, 2 },
{ 0, 1, 0, -4, 1 },
{ 3, 0, 0, -2, 1 },
{ 2, 1, -2, 0, 1 },
{ 2, 0, 4, -2, 1 },
/* 501-510 */
{ 2, 0, 0, -3, -1 },
{ 2, -2, 0, -2, 1 },
{ 2, -1, 2, -2, 1 },
{ 1, 0, 0, -6, -1 },
{ 1, -2, 0, 0, -1 },
{ 1, -2, -2, -2, -1 },
{ 0, 1, 4, -2, 1 },
{ 0, 0, 2, 3, 1 },
{ 2, -1, 0, -1, 0 },
{ 1, 3, 0, -2, 0 },
/* 511-520 */
{ 0, 3, 0, -2, 0 },
{ 2, -2, 2, -2, 2 },
{ 0, 0, 4, -2, 0 },
{ 4, -1, 2, 0, 2 },
{ 2, 2, -2, -4, -2 },
{ 4, 1, 2, 0, 2 },
{ 4, -1, -2, -2, -2 },
{ 2, 1, 0, -2, -2 },
{ 2, 1, -2, -6, -2 },
{ 2, 0, 0, -1, 1 },
/* 521-530 */
{ 2, -1, -2, 2, -1 },
{ 1, 1, -2, 2, -2 },
{ 1, 1, -2, -3, -2 },
{ 1, 0, 3, 0, 3 },
{ 1, 0, -2, 1, 1 },
{ 1, 0, -2, 0, 2 },
{ 1, -1, 2, 1, 2 },
{ 1, -1, 0, 0, -2 },
{ 1, -1, -4, 2, -2 },
{ 0, 3, -2, -2, -2 },
/* 531-540 */
{ 0, 1, 0, 4, 1 },
{ 0, 0, 4, 2, 2 },
{ 3, 0, -2, -2, 0 },
{ 2, -2, 0, 0, 0 },
{ 1, 1, 2, -4, 0 },
{ 1, 1, 0, -3, 0 },
{ 1, 0, 2, -3, 0 },
{ 1, -1, 2, -2, 0 },
{ 0, 2, 0, 2, 0 },
{ 0, 0, 2, 4, 0 },
/* 541-550 */
{ 1, 0, 1, 0, 0 },
{ 3, 1, 2, -2, 1 },
{ 3, 0, 4, -2, 2 },
{ 3, 0, 2, 1, 2 },
{ 3, 0, 0, 2, -1 },
{ 3, 0, 0, 0, 2 },
{ 3, 0, -2, 2, -1 },
{ 2, 0, 4, -4, 2 },
{ 2, 0, 2, -3, 2 },
{ 2, 0, 0, 4, 1 },
/* 551-560 */
{ 2, 0, 0, -3, 1 },
{ 2, 0, -4, 2, -1 },
{ 2, 0, -2, -2, 1 },
{ 2, -2, 2, 2, 2 },
{ 2, -2, 0, -2, -2 },
{ 2, -1, 0, 2, 1 },
{ 2, -1, 0, 2, -1 },
{ 1, 1, 2, 4, 2 },
{ 1, 1, 0, 1, 1 },
{ 1, 1, 0, 1, -1 },
/* 561-570 */
{ 1, 1, -2, -6, -2 },
{ 1, 0, 0, -3, -1 },
{ 1, 0, -4, -2, -1 },
{ 1, 0, -2, -6, -1 },
{ 1, -2, 2, 2, 1 },
{ 1, -2, -2, 2, -1 },
{ 1, -1, -2, -4, -1 },
{ 0, 2, 0, 0, 2 },
{ 0, 1, 2, -4, 2 },
{ 0, 1, -2, 4, -1 },
/* 571-580 */
{ 5, 0, 0, 0, 0 },
{ 3, 0, 0, -3, 0 },
{ 2, 2, 0, -4, 0 },
{ 1, -1, 2, 2, 0 },
{ 0, 1, 0, 3, 0 },
{ 4, 0, -2, 0, -1 },
{ 3, 0, -2, -6, -1 },
{ 3, 0, -2, -1, -1 },
{ 2, 1, 2, 2, 1 },
{ 2, 1, 0, 2, 1 },
/* 581-590 */
{ 2, 0, 2, 4, 1 },
{ 2, 0, 2, -6, 1 },
{ 2, 0, 2, -2, -1 },
{ 2, 0, 0, -6, -1 },
{ 2, -1, -2, -2, -1 },
{ 1, 2, 2, 0, 1 },
{ 1, 2, 0, 0, 1 },
{ 1, 0, 4, 0, 1 },
{ 1, 0, 2, -6, 1 },
{ 1, 0, 2, -4, -1 },
/* 591-600 */
{ 1, 0, -1, -2, -1 },
{ 1, -1, 2, 4, 1 },
{ 1, -1, 2, -3, 1 },
{ 1, -1, 0, 4, 1 },
{ 1, -1, -2, 1, -1 },
{ 0, 1, 2, -2, 3 },
{ 3, 0, 0, -2, 0 },
{ 1, 0, 1, -2, 0 },
{ 0, 2, 0, -4, 0 },
{ 0, 0, 2, -4, 0 },
/* 601-610 */
{ 0, 0, 1, -1, 0 },
{ 0, 0, 0, 6, 0 },
{ 0, 2, 0, 0, -2 },
{ 0, 1, -2, 2, -3 },
{ 4, 0, 0, 2, 0 },
{ 3, 0, 0, -1, 0 },
{ 3, -1, 0, 2, 0 },
{ 2, 1, 0, 1, 0 },
{ 2, 1, 0, -6, 0 },
{ 2, -1, 2, 0, 0 },
/* 611-620 */
{ 1, 0, 2, -1, 0 },
{ 1, -1, 0, 1, 0 },
{ 1, -1, -2, -2, 0 },
{ 0, 1, 2, 2, 0 },
{ 0, 0, 2, -3, 0 },
{ 2, 2, 0, -2, -1 },
{ 2, -1, -2, 0, 1 },
{ 1, 2, 2, -4, 1 },
{ 0, 1, 4, -4, 2 },
{ 0, 0, 0, 3, 2 },
/* 621-630 */
{ 5, 0, 2, 0, 1 },
{ 4, 1, 2, -2, 2 },
{ 4, 0, -2, -2, 0 },
{ 3, 1, 2, 2, 2 },
{ 3, 1, 0, -2, 0 },
{ 3, 1, -2, -6, -2 },
{ 3, 0, 0, 0, -2 },
{ 3, 0, -2, -4, -2 },
{ 3, -1, 0, -3, 0 },
{ 3, -1, 0, -2, 0 },
/* 631-640 */
{ 2, 1, 2, 0, 0 },
{ 2, 1, 2, -4, 2 },
{ 2, 1, 2, -2, 0 },
{ 2, 1, 0, -3, 0 },
{ 2, 1, -2, 0, -2 },
{ 2, 0, 0, -4, 2 },
{ 2, 0, 0, -4, -2 },
{ 2, 0, -2, -5, -2 },
{ 2, -1, 2, 4, 2 },
{ 2, -1, 0, -2, 2 },
/* 641-650 */
{ 1, 3, -2, -2, -2 },
{ 1, 1, 0, 0, -2 },
{ 1, 1, 0, -6, 0 },
{ 1, 1, -2, 1, -2 },
{ 1, 1, -2, -1, -2 },
{ 1, 0, 2, 1, 0 },
{ 1, 0, 0, 3, 0 },
{ 1, 0, 0, -4, 2 },
{ 1, 0, -2, 4, -2 },
{ 1, -2, 0, -1, 0 },
/* 651-NFLS */
{ 0, 1, -4, 2, -1 },
{ 1, 0, -2, 0, -3 },
{ 0, 0, 4, -4, 4 }
};
/* Number of frequencies: luni-solar */
static const int NFLS = (int) (sizeof mfals / sizeof (int) / 5);
/* Fundamental-argument multipliers: planetary terms */
static const int mfapl[][14] = {
/* 1-10 */
{ 0, 0, 1, -1, 1, 0, 0, -1, 0, -2, 5, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 1, -1, 1, 0, -8, 12, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 8,-16, 4, 5, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 0, 0, -1, 2, 0, 0, 0, 0, 0 },
/* 11-20 */
{ 0, 0, 0, 0, 0, 0, 8,-13, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 1, -1, 1, 0, 0, -1, 0, 2, -5, 0, 0, 0 },
{ 0, 0, 2, -2, 1, 0, -5, 6, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 4, -6, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 3, 0, -1, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 2, -8, 3, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 6, -8, 3, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, 0 },
/* 21-30 */
{ 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 1, 0, 0, -4, 8, -3, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 0, 0, 4, -8, 3, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2 },
{ 0, 0, 1, -1, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0 },
{ 2, 0, 0, -2, -1, 0, 0, -2, 0, 2, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1 },
{ 2, 0, 0, -2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0 },
/* 31-40 */
{ 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 8,-13, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 5, -8, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, 1 },
{ 2, 0, 0, -2, 0, 0, 0, -2, 0, 3, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 1, 0, 0, -1, 0, -1, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, -1, 0, 0, 0 },
/* 41-50 */
{ 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 5, -7, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 1, -1, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 4, 0, -2, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 8,-13, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, 2 },
{ 1, 0, 0, 0, 0, 0,-18, 16, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 1, 0, 0, -1, 0, 2, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2 },
/* 51-60 */
{ 0, 0, 1, -1, 1, 0, -5, 7, 0, 0, 0, 0, 0, 0 },
{ 1, 0, 0, 0, 0, 0,-10, 3, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 2, -2, 0, 0, -5, 6, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0, 0, 0, 2 },
{ 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1 },
{ 1, 0, -2, 0, -2, 0, 0, 4, -8, 3, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, 2, 0, 0, 0 },
{ 0, 0, 2, -2, 1, 0, -3, 3, 0, 0, 0, 0, 0, 0 },
/* 61-70 */
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 8,-16, 4, 5, 0, 0, -2 },
{ 0, 0, 1, -1, 1, 0, 0, 3, -8, 3, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 8,-11, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 8,-16, 4, 5, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 4, -6, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0 },
/* 71-80 */
{ 0, 0, 0, 0, 0, 0, 6, -8, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 3, -2, 0, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 8,-15, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 1, -3, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 3, 0, -2, 0, 0, 0, 2 },
{ 0, 0, 1, -1, 1, 0, 0, -5, 8, -3, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 3, -2, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0, 0 },
/* 81-90 */
{ 2, 0, 0, -2, 1, 0, 0, -2, 0, 3, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 5, -8, 0, 0, 0, 0, 0, -1 },
{ 2, 0, 0, -2, 0, 0, -3, 3, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 0, 8,-13, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 0, 0, 0, 0, -2, 5, 0, 0, 0 },
{ 1, 0, 0, -1, 0, 0, -3, 4, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2 },
{ 1, 0, 0, 0, -1, 0,-18, 16, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, -5, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0 },
/* 91-100 */
{ 1, 0, 0, -2, 0, 0, 19,-21, 3, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 0, -8, 13, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, 1, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 7, -9, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2 },
{ 1, 0, 0, 0, 1, 0,-18, 16, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 0, 6,-16, 4, 5, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 4, -7, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 3, -7, 0, 0, 0, 0, 0, -2 },
/* 101-110 */
{ 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1 },
{ 2, 0, 0, -2, 1, 0, 0, -2, 0, 2, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0 },
{ 2, 0, 0, -2, -1, 0, 0, -2, 0, 3, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2 },
/* 111-120 */
{ 0, 0, 0, 0, 1, 0, 0, 1, -2, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2 },
{ 0, 0, 2, -2, 1, 0, 0, -2, 0, 2, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 2, 0, -3, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0 },
{ 2, 0, 0, -2, 0, 0, -6, 8, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 1, 0, 0, -2, 2, 0, 0, 0, 0, 0 },
/* 121-130 */
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 },
{ 0, 0, 1, -1, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 8,-10, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 1, -1, 1, 0, -3, 4, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 6, -9, 0, 0, 0, 0, 0, -2 },
{ 1, 0, 0, -1, 1, 0, 0, -1, 0, 2, 0, 0, 0, 0 },
/* 131-140 */
{ 0, 0, 0, 0, 0, 0, 5, -7, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 4, 0, -3, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 1 },
{ 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1 },
{ 0, 0, 0, 0, 1, 0, 2, -3, 0, 0, 0, 0, 0, 0 },
/* 141-150 */
{ 1, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 1, -3, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 0, 5, -4, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 9,-11, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 0, 8,-15, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 1, 0, -4, 5, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 4, -6, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 4, 0, -1, 0, 0, 0, 2 },
/* 151-160 */
{ 1, 0, 0, -1, 1, 0, -3, 4, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 1, 0, 0, -1, 0, -4, 10, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 1, 0, -4, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, -2 },
{ 0, 0, 2, -2, 1, 0, -4, 4, 0, 0, 0, 0, 0, 0 },
/* 161-170 */
{ 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, -1, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 4, -3, 0, 0, 0, 0, 2 },
{ 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, 0, 0, 2, 0 },
{ 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 5, -8, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 1 },
{ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0 },
{ 0, 0, 2, -2, 1, 0, 0, -9, 13, 0, 0, 0, 0, 0 },
{ 2, 0, 2, 0, 2, 0, 0, 2, 0, -3, 0, 0, 0, 0 },
/* 171-180 */
{ 0, 0, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 1, -1, 2, 0, 0, -1, 0, 0, 2, 0, 0, 0 },
{ 1, 0, 0, -1, -1, 0, -3, 4, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 1 },
{ 1, 0, 2, 0, 1, 0, 0, -2, 0, 3, 0, 0, 0, 0 },
{ 1, 0, -2, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 0, 0, -2, 4, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0 },
/* 181-190 */
{ 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1 },
{ 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 1, -8, 3, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 6,-10, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 7, -8, 3, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 1, 0, -3, 5, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 0, 0, -5, 7, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 1 },
/* 191-200 */
{ 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 7,-10, 0, 0, 0, 0, 0, -2 },
{ 1, 0, 0, -2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, -5, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 6, -8, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 1, -1, 1, 0, 0, -9, 15, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 0, -2, 3, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, 0 },
/* 201-210 */
{ 0, 0, 0, 0, 0, 0, 0, 1, -4, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 2 },
{ 2, 0, 0, -2, 1, 0, -6, 8, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 1, -1, 1, 0, 3, -6, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 1, 0, -2, 2, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 1, 0, 8,-14, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 },
/* 211-220 */
{ 0, 0, 0, 0, 1, 0, 0, 8,-15, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 4, -6, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 7, -7, 0, 0, 0, 0, 0, 0 },
{ 2, 0, 0, -2, 1, 0, -3, 3, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2 },
{ 2, 0, -1, -1, 0, 0, 0, 3, -7, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 4, -7, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 1, 0, 0, -3, 4, 0, 0, 0, 0, 0 },
/* 221-230 */
{ 2, 0, 0, -2, 0, 0, 0, -6, 8, 0, 0, 0, 0, 0 },
{ 2, 0, 0, -2, 0, 0, 0, -5, 6, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1 },
{ 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1 },
{ 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 1, 0, 0, 1, 0, -1, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 3, -9, 4, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, -2 },
/* 231-240 */
{ 0, 0, 0, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1 },
{ 0, 0, 0, 0, 0, 0, 7,-11, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 3, -5, 4, 0, 0, 0, 0, 2 },
{ 0, 0, 1, -1, 0, 0, 0, -1, 0, -1, 1, 0, 0, 0 },
{ 2, 0, 0, 0, 0, 0, 0, -2, 0, 3, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 8,-15, 0, 0, 0, 0, -2 },
{ 0, 0, 1, -1, 2, 0, 0, -2, 2, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 0, -1 },
/* 241-250 */
{ 0, 0, 1, -1, 1, 0, 0, -1, 0, -1, 1, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 1 },
{ 0, 0, 0, 0, 0, 0, 0, 4, -7, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 3, -8, 3, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 1, 0, 2, -4, 0, -3, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 0, 3, -5, 0, 2, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 3, 0, -3, 0, 0, 0, 2 },
{ 0, 0, 2, -2, 2, 0, -8, 11, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 5, -8, 3, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, 0, 0 },
/* 251-260 */
{ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 5, -9, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 7, -9, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 4, -7, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, 0 },
{ 1, 0, -2, -2, -2, 0, 0, -2, 0, 2, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 5, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 1 },
/* 261-270 */
{ 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, -5, 0, 0, 2 },
{ 2, 0, 0, -2, -1, 0, 0, -2, 0, 0, 5, 0, 0, 0 },
{ 2, 0, 0, -2, -1, 0, -6, 8, 0, 0, 0, 0, 0, 0 },
{ 1, 0, 0, -2, 0, 0, -3, 3, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 8, -8, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 3, 0, 2, -5, 0, 0, 2 },
{ 0, 0, 0, 0, 1, 0, 3, -7, 4, 0, 0, 0, 0, 0 },
{ 0, 0, 2, -2, 1, 0, -2, 2, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0 },
/* 271-280 */
{ 0, 0, 1, -1, 0, 0, 0, -1, 0, -2, 5, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 3, 0, -3, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 0, 1 },
{ 0, 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 6,-15, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 3, 0, 1, 0, 0, 0, 2 },
{ 1, 0, 0, -1, 0, 0, 0, -3, 4, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 0, -3, 7, -4, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 5, 0, -2, 0, 0, 0, 2 },
/* 281-290 */
{ 0, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0, 1 },
{ 0, 0, 2, -2, 2, 0, -5, 6, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 2, -2, 2, 0, -3, 3, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 4, -8, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 4, -5, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 5, -7, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 6,-11, 0, 0, 0, 0, -2 },
/* 291-300 */
{ 0, 0, 0, 0, 0, 0, 0, 1, -3, 0, 0, 0, 0, -2 },
{ 0, 0, 1, -1, 1, 0, 0, -1, 0, 3, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 0, 0, 0, -1, 0, 2, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 1 },
{ 0, 0, 0, 0, 0, 0, 9,-12, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 1 },
{ 0, 0, 1, -1, 0, 0, -8, 12, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 1, 0, -2, 3, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 7, -7, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, -1 },
/* 301-310 */
{ 0, 0, 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 1, 0, -4, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 1, -1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 6, -9, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 1, -1, -1, 0, 0, 0, -2, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 1, -5, 0, 0, 0, 0, -2 },
{ 2, 0, 0, -2, 0, 0, 0, -2, 0, 3, -1, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 5, -9, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, 2 },
/* 311-320 */
{ 0, 0, 0, 0, 0, 0, 9, -9, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, 3, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 0, 0, 2, -4, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 5, -3, 0, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 1 },
{ 0, 0, 1, -1, 2, 0, 0, -1, 0, 2, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 5, -9, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 5, -3, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2 },
{ 0, 0, 2, 0, 2, 0, 0, 4, -8, 3, 0, 0, 0, 0 },
/* 321-330 */
{ 0, 0, 2, 0, 2, 0, 0, -4, 8, -3, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 5, 0, -3, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0 },
{ 2, 0, -1, -1, -1, 0, 0, -1, 0, 3, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 4, -3, 0, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 5,-10, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 8,-13, 0, 0, 0, 0, 0, 1 },
{ 0, 0, 2, -2, 1, -1, 0, 2, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, 0, 2, 0, 0 },
/* 331-340 */
{ 0, 0, 0, 0, 1, 0, 3, -5, 0, 0, 0, 0, 0, 0 },
{ 1, 0, 0, -2, 0, 0, 0, -2, 0, 3, 0, 0, 0, 0 },
{ 0, 0, 2, -2, 0, 0, -3, 3, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 9, -9, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 2, 0, 2, 0, 1, -1, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 2, -2, 1, 0, 0, -8, 11, 0, 0, 0, 0, 0 },
{ 0, 0, 2, -2, 1, 0, 0, -2, 0, 0, 2, 0, 0, 0 },
{ 0, 0, 1, -1, 1, 0, 0, -1, 0, -1, 2, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 2, -6, 0, 0, 0, 0, 0, -2 },
/* 341-350 */
{ 0, 0, 0, 0, 0, 0, 0, 8,-15, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 0, 5, -2, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 7,-13, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 3, 0, -2, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 1, 0, 3, 0, 0, 0, 2 },
{ 0, 0, 2, -2, 1, 0, 0, -2, 0, 3, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 8, -8, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 8,-10, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 1 },
/* 351-360 */
{ 0, 0, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0 },
{ 2, 0, 0, -2, -1, 0, 0, -5, 6, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, 0, 0, -2 },
{ 2, 0, -1, -1, -1, 0, 0, 3, -7, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 5, -8, 0, 0, 0, 0, 0 },
{ 0, 0, 2, 0, 2, 0, -1, 1, 0, 0, 0, 0, 0, 0 },
/* 361-370 */
{ 2, 0, 0, -2, 0, 0, 0, -2, 0, 4, -3, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 6,-11, 0, 0, 0, 0, 0 },
{ 2, 0, 0, -2, 1, 0, 0, -6, 8, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 4, -8, 1, 5, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 6, -5, 0, 0, 0, 0, 2 },
{ 1, 0, -2, -2, -2, 0, -3, 3, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 2, 0, 0, 4, -8, 3, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 2, 0, 0, -4, 8, -3, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 1 },
/* 371-380 */
{ 0, 0, 0, 0, 0, 0, 0, 6, -7, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -2, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, -2, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1 },
{ 0, 0, 0, 0, 0, 0, 0, 1, -6, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -5, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 3, -5, 0, 2, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 7,-13, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 0, 2 },
/* 381-390 */
{ 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 2, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 0, 0, -8, 15, 0, 0, 0, 0, 0 },
{ 2, 0, 0, -2, -2, 0, -3, 3, 0, 0, 0, 0, 0, 0 },
{ 2, 0, -1, -1, -1, 0, 0, -1, 0, 2, 0, 0, 0, 0 },
{ 1, 0, 2, -2, 2, 0, 0, -2, 0, 2, 0, 0, 0, 0 },
{ 1, 0, -1, 1, -1, 0,-18, 17, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 2, 0, 2, 0, 0, 1, 0, -1, 0, 0, 0, 0 },
{ 0, 0, 2, 0, 2, 0, 0, -1, 0, 1, 0, 0, 0, 0 },
{ 0, 0, 2, -2, -1, 0, -5, 6, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 2, 0, 0, -1, 0, 1, 0, 0, 0, 0 },
/* 391-400 */
{ 0, 0, 0, 0, 1, 0, 2, -2, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 8,-16, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2 },
{ 0, 0, 0, 0, 2, 0, 0, -1, 2, 0, 0, 0, 0, 0 },
{ 2, 0, -1, -1, -2, 0, 0, -1, 0, 2, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 6,-10, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 1, -1, 1, 0, 0, -1, 0, -2, 4, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2 },
{ 2, 0, 0, -2, -1, 0, 0, -2, 0, 4, -5, 0, 0, 0 },
/* 401-410 */
{ 2, 0, 0, -2, -1, 0, -3, 3, 0, 0, 0, 0, 0, 0 },
{ 2, 0, -1, -1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0 },
{ 1, 0, 1, -1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0 },
{ 1, 0, 0, -1, -1, 0, 0, -2, 2, 0, 0, 0, 0, 0 },
{ 1, 0, -1, -1, -1, 0, 20,-20, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 2, -2, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 1, 0, 1, -2, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 1, 0, -2, 1, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 0, 5, -8, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0 },
/* 411-420 */
{ 0, 0, 0, 0, 0, 0, 9,-11, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 5, -3, 0, 0, 0, 0, 0, 1 },
{ 0, 0, 0, 0, 0, 0, 0, 1, 0, -3, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1 },
{ 0, 0, 0, 0, 0, 0, 6, -7, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 3, -2, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, -2, 0, 0, 0 },
{ 0, 0, 1, -1, 2, 0, 0, -1, 0, -2, 5, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 5, -7, 0, 0, 0, 0, 0 },
/* 421-430 */
{ 0, 0, 0, 0, 0, 0, 1, -3, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 5, -8, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 2, -6, 0, 0, 0, 0, -2 },
{ 1, 0, 0, -2, 0, 0, 20,-21, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 8,-12, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 2, 0, 0, -1, 0, -1, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 8,-12, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 9,-17, 0, 0, 0, 0, 0 },
/* 431-440 */
{ 0, 0, 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 4, -8, 1, 5, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 4, -6, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 2, -7, 0, 0, 0, 0, -2 },
{ 1, 0, 0, -1, 1, 0, 0, -3, 4, 0, 0, 0, 0, 0 },
{ 1, 0, -2, 0, -2, 0,-10, 3, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 0, 0, -9, 17, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 1, -4, 0, 0, 0, 0, 0, -2 },
{ 1, 0, -2, -2, -2, 0, 0, -2, 0, 3, 0, 0, 0, 0 },
{ 1, 0, -1, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0 },
/* 441-450 */
{ 0, 0, 2, -2, 2, 0, 0, -2, 0, 2, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 2, 0, 0, -1, 0, 0, 1, 0, 0, 0 },
{ 0, 0, 1, -1, 2, 0, -5, 7, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 0, 0, 2, -2, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 4, -5, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 5,-10, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 2, 0, -5, 0, 0, 0, -2 },
/* 451-460 */
{ 0, 0, 0, 0, 0, 0, 0, 1, 0, -5, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, 5, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, 1 },
{ 1, 0, 0, -2, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 3, -7, 4, 0, 0, 0, 0, 0 },
{ 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, -1, 0, 0, -1, 0, -1, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 0, 0, 1, 0, -2, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 6,-10, 0, 0, 0, 0, -2 },
/* 461-470 */
{ 1, 0, 0, -1, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0 },
{ 0, 0, 2, -2, 1, 0, 0, 4, -8, 3, 0, 0, 0, 0 },
{ 0, 0, 2, -2, 1, 0, 0, 1, 0, -1, 0, 0, 0, 0 },
{ 0, 0, 2, -2, 1, 0, 0, -4, 8, -3, 0, 0, 0, 0 },
{ 0, 0, 2, -2, 1, 0, 0, -3, 0, 3, 0, 0, 0, 0 },
{ 0, 0, 2, -2, 1, 0, -5, 5, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 1, 0, 1, -3, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 1, 0, 0, -4, 6, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, 0, -1, 0, 0 },
{ 0, 0, 1, -1, 1, 0, -5, 6, 0, 0, 0, 0, 0, 0 },
/* 471-480 */
{ 0, 0, 0, 0, 1, 0, 3, -4, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 0, -2, 2, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 7,-10, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 0, 1 },
{ 0, 0, 0, 0, 0, 0, 4, -5, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 3, -8, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 2, -5, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 0, 7, -9, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 7, -8, 0, 0, 0, 0, 2 },
/* 481-490 */
{ 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 3, -8, 3, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 1 },
{ 0, 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 1 },
{ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, -1 },
{ 2, 0, 0, -2, -1, 0, 0, -6, 8, 0, 0, 0, 0, 0 },
{ 2, 0, -1, -1, 1, 0, 0, 3, -7, 0, 0, 0, 0, 0 },
{ 0, 0, 2, -2, 1, 0, 0, -7, 9, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, -1 },
/* 491-500 */
{ 0, 0, 1, -1, 2, 0, -8, 12, 0, 0, 0, 0, 0, 0 },
{ 1, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0 },
{ 1, 0, 0, -2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 7, -8, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0 },
{ 2, 0, 0, -2, 1, 0, 0, -5, 6, 0, 0, 0, 0, 0 },
{ 2, 0, 0, -2, -1, 0, 0, -2, 0, 3, -1, 0, 0, 0 },
{ 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0 },
{ 1, 0, 0, -2, 1, 0, 0, -2, 0, 2, 0, 0, 0, 0 },
{ 1, 0, 0, -2, -1, 0, 0, -2, 0, 2, 0, 0, 0, 0 },
/* 501-510 */
{ 1, 0, 0, -1, -1, 0, 0, -3, 4, 0, 0, 0, 0, 0 },
{ 1, 0, -1, 0, -1, 0, -3, 5, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 2, -2, 1, 0, 0, -4, 4, 0, 0, 0, 0, 0 },
{ 0, 0, 2, -2, 1, 0, 0, -2, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 2, -2, 1, 0, -8, 11, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 2, -2, 0, 0, 0, -9, 13, 0, 0, 0, 0, 0 },
{ 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 1, 0, 0, 1, -4, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 1, 0, 0, -1, 0, 1, -3, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 0, 0, 7,-13, 0, 0, 0, 0, 0 },
/* 511-520 */
{ 0, 0, 0, 0, 1, 0, 0, 2, 0, -2, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 0, 0, -2, 2, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 0, -3, 4, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 1, 0, -4, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 7,-11, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 0, 1 },
{ 0, 0, 0, 0, 0, 0, 6, -4, 0, 0, 0, 0, 0, 1 },
{ 0, 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, 1 },
/* 521-530 */
{ 0, 0, 0, 0, 0, 0, 1, -4, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 0, 9,-17, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 7, -7, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 1 },
{ 0, 0, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 0, 4, -8, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 4, -7, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1 },
{ 0, 0, 0, 0, 0, 0, 0, 1, 0, -4, 0, 0, 0, 0 },
{ 2, 0, 0, -2, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 },
/* 531-540 */
{ 2, 0, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0 },
{ 1, 0, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 },
{ 1, 0, 0, 0, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 },
{ 1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0 },
{ 1, 0, 0, -2, 0, 0, 17,-16, 0, -2, 0, 0, 0, 0 },
{ 1, 0, 0, -1, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0 },
{ 0, 0, 2, -2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 6, -9, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 3, 0, -4, 0, 0, 0, 0 },
/* 541-550 */
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2 },
{ 2, 0, 0, -2, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0 },
{ 2, 0, 0, -2, 0, 0, 0, -2, 0, 2, 2, 0, 0, 0 },
{ 1, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0 },
{ 1, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0 },
{ 1, 0, 0, 0, 0, 0, -3, 3, 0, 0, 0, 0, 0, 0 },
{ 1, 0, 0, -2, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0 },
{ 1, 0, 0, -2, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0 },
{ 1, 0, 0, -2, 0, 0, 0, -4, 8, -3, 0, 0, 0, 0 },
/* 551-560 */
{ 1, 0, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 2, -2, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 0, 0, 3, -6, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0 },
{ 0, 0, 1, -1, 0, 0, -4, 5, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 0, 0, -3, 4, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 2, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0 },
/* 561-570 */
{ 0, 0, 0, 0, 0, 0, 8, -9, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0 },
{ 2, 0, -2, -2, -2, 0, 0, -2, 0, 2, 0, 0, 0, 0 },
{ 1, 0, 0, 0, 1, 0,-10, 3, 0, 0, 0, 0, 0, 0 },
{ 1, 0, 0, 0, -1, 0,-10, 3, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 2, 0, 2, 0, 2, -3, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 2, 0, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0 },
/* 571-580 */
{ 0, 0, 2, 0, 2, 0, -2, 3, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 2, 0, 2, 0, -2, 2, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 0, 0, -1, 0, 2, 0, 0, 0, 0 },
{ 2, 0, 2, -2, 2, 0, 0, -2, 0, 3, 0, 0, 0, 0 },
{ 2, 0, 1, -3, 1, 0, -6, 7, 0, 0, 0, 0, 0, 0 },
{ 2, 0, 0, -2, 0, 0, 2, -5, 0, 0, 0, 0, 0, 0 },
{ 2, 0, 0, -2, 0, 0, 0, -2, 0, 5, -5, 0, 0, 0 },
{ 2, 0, 0, -2, 0, 0, 0, -2, 0, 1, 5, 0, 0, 0 },
{ 2, 0, 0, -2, 0, 0, 0, -2, 0, 0, 5, 0, 0, 0 },
/* 581-590 */
{ 2, 0, 0, -2, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0 },
{ 2, 0, 0, -2, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0 },
{ 2, 0, -2, 0, -2, 0, 0, 5, -9, 0, 0, 0, 0, 0 },
{ 2, 0, -1, -1, 0, 0, 0, -1, 0, 3, 0, 0, 0, 0 },
{ 1, 0, 2, 0, 2, 0, 1, -1, 0, 0, 0, 0, 0, 0 },
{ 1, 0, 2, 0, 2, 0, 0, 4, -8, 3, 0, 0, 0, 0 },
{ 1, 0, 2, 0, 2, 0, 0, -4, 8, -3, 0, 0, 0, 0 },
{ 1, 0, 2, 0, 2, 0, -1, 1, 0, 0, 0, 0, 0, 0 },
{ 1, 0, 2, -2, 2, 0, -3, 3, 0, 0, 0, 0, 0, 0 },
{ 1, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0 },
/* 591-600 */
{ 1, 0, 0, 0, 0, 0, 0, -2, 0, 3, 0, 0, 0, 0 },
{ 1, 0, 0, -2, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0 },
{ 1, 0, -2, -2, -2, 0, 0, 1, 0, -1, 0, 0, 0, 0 },
{ 1, 0, -1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 },
{ 1, 0, -1, -1, 0, 0, 0, 8,-15, 0, 0, 0, 0, 0 },
{ 0, 0, 2, 2, 2, 0, 0, 2, 0, -2, 0, 0, 0, 0 },
{ 0, 0, 2, -2, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 2, -2, 1, 0, 0, -2, 0, 1, 0, 0, 0, 0 },
{ 0, 0, 2, -2, 1, 0, 0,-10, 15, 0, 0, 0, 0, 0 },
{ 0, 0, 2, -2, 0, -1, 0, 2, 0, 0, 0, 0, 0, 0 },
/* 601-610 */
{ 0, 0, 1, -1, 2, 0, 0, -1, 0, 0, -1, 0, 0, 0 },
{ 0, 0, 1, -1, 2, 0, -3, 4, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 1, 0, -4, 6, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 1, 0, -1, 2, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 0, 0, 0, -1, 0, 0, -2, 0, 0, 0 },
{ 0, 0, 1, -1, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 1, -1, -1, 0, -5, 7, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 2, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0 },
/* 611-620 */
{ 0, 0, 0, 2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 2, 0, -3, 5, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 1, 0, -1, 2, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 9,-13, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 8,-14, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 8,-11, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 6, -9, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 6, -8, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 6, -7, 0, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, -2 },
/* 621-630 */
{ 0, 0, 0, 0, 0, 0, 5, -6, -4, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 5, -4, 0, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 4, -8, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 4, -5, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 3, -3, 0, 2, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 7,-12, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 6, -9, 0, 0, 0, 0, -2 },
/* 631-640 */
{ 0, 0, 0, 0, 0, 0, 0, 6, -8, 1, 5, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 6, -4, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 6,-10, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 5, 0, -4, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 5, -9, 0, 0, 0, 0, -1 },
{ 0, 0, 0, 0, 0, 0, 0, 5, -8, 3, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 5, -7, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 5,-16, 4, 5, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 5,-13, 0, 0, 0, 0, -2 },
/* 641-650 */
{ 0, 0, 0, 0, 0, 0, 0, 3, 0, -5, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 3, -9, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 3, -7, 0, 0, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -3, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 2, -8, 1, 5, 0, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, -5, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -3, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 1, 0, -3, 5, 0, 0, 0 },
/* 651-NFPL */
{ 0, 0, 0, 0, 0, 0, 0, 1, -3, 0, 0, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -6, 3, 0, -2 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2 },
{ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 }
};
/* Number of frequencies: planetary */
static const int NFPL = (int) (sizeof mfapl / sizeof (int) / 14);
/* Pointers into amplitudes array, one pointer per frequency */
static const int nc[] = {
/* 1-100 */
1, 21, 37, 51, 65, 79, 91, 103, 115, 127,
139, 151, 163, 172, 184, 196, 207, 219, 231, 240,
252, 261, 273, 285, 297, 309, 318, 327, 339, 351,
363, 372, 384, 396, 405, 415, 423, 435, 444, 452,
460, 467, 474, 482, 490, 498, 506, 513, 521, 528,
536, 543, 551, 559, 566, 574, 582, 590, 597, 605,
613, 620, 628, 636, 644, 651, 658, 666, 674, 680,
687, 695, 702, 710, 717, 725, 732, 739, 746, 753,
760, 767, 774, 782, 790, 798, 805, 812, 819, 826,
833, 840, 846, 853, 860, 867, 874, 881, 888, 895,
/* 101-200 */
901, 908, 914, 921, 928, 934, 941, 948, 955, 962,
969, 976, 982, 989, 996, 1003, 1010, 1017, 1024, 1031,
1037, 1043, 1050, 1057, 1064, 1071, 1078, 1084, 1091, 1098,
1104, 1112, 1118, 1124, 1131, 1138, 1145, 1151, 1157, 1164,
1171, 1178, 1185, 1192, 1199, 1205, 1212, 1218, 1226, 1232,
1239, 1245, 1252, 1259, 1266, 1272, 1278, 1284, 1292, 1298,
1304, 1310, 1316, 1323, 1329, 1335, 1341, 1347, 1353, 1359,
1365, 1371, 1377, 1383, 1389, 1396, 1402, 1408, 1414, 1420,
1426, 1434, 1440, 1446, 1452, 1459, 1465, 1471, 1477, 1482,
1488, 1493, 1499, 1504, 1509, 1514, 1520, 1527, 1532, 1538,
/* 201-300 */
1543, 1548, 1553, 1558, 1564, 1569, 1574, 1579, 1584, 1589,
1594, 1596, 1598, 1600, 1602, 1605, 1608, 1610, 1612, 1617,
1619, 1623, 1625, 1627, 1629, 1632, 1634, 1640, 1642, 1644,
1646, 1648, 1650, 1652, 1654, 1658, 1660, 1662, 1664, 1668,
1670, 1672, 1673, 1675, 1679, 1681, 1683, 1684, 1686, 1688,
1690, 1693, 1695, 1697, 1701, 1703, 1705, 1707, 1709, 1711,
1712, 1715, 1717, 1721, 1723, 1725, 1727, 1729, 1731, 1733,
1735, 1737, 1739, 1741, 1743, 1745, 1747, 1749, 1751, 1753,
1755, 1757, 1759, 1761, 1762, 1764, 1766, 1768, 1769, 1771,
1773, 1775, 1777, 1779, 1781, 1783, 1785, 1787, 1788, 1790,
/* 301-400 */
1792, 1794, 1796, 1798, 1800, 1802, 1804, 1806, 1807, 1809,
1811, 1815, 1817, 1819, 1821, 1823, 1825, 1827, 1829, 1831,
1833, 1835, 1837, 1839, 1840, 1842, 1844, 1848, 1850, 1852,
1854, 1856, 1858, 1859, 1860, 1862, 1864, 1866, 1868, 1869,
1871, 1873, 1875, 1877, 1879, 1881, 1883, 1885, 1887, 1889,
1891, 1892, 1896, 1898, 1900, 1901, 1903, 1905, 1907, 1909,
1910, 1911, 1913, 1915, 1919, 1921, 1923, 1927, 1929, 1931,
1933, 1935, 1937, 1939, 1943, 1945, 1947, 1948, 1949, 1951,
1953, 1955, 1957, 1958, 1960, 1962, 1964, 1966, 1968, 1970,
1971, 1973, 1974, 1975, 1977, 1979, 1980, 1981, 1982, 1984,
/* 401-500 */
1986, 1988, 1990, 1992, 1994, 1995, 1997, 1999, 2001, 2003,
2005, 2007, 2008, 2009, 2011, 2013, 2015, 2017, 2019, 2021,
2023, 2024, 2025, 2027, 2029, 2031, 2033, 2035, 2037, 2041,
2043, 2045, 2046, 2047, 2049, 2051, 2053, 2055, 2056, 2057,
2059, 2061, 2063, 2065, 2067, 2069, 2070, 2071, 2072, 2074,
2076, 2078, 2080, 2082, 2084, 2086, 2088, 2090, 2092, 2094,
2095, 2096, 2097, 2099, 2101, 2105, 2106, 2107, 2108, 2109,
2110, 2111, 2113, 2115, 2119, 2121, 2123, 2125, 2127, 2129,
2131, 2133, 2135, 2136, 2137, 2139, 2141, 2143, 2145, 2147,
2149, 2151, 2153, 2155, 2157, 2159, 2161, 2163, 2165, 2167,
/* 501-600 */
2169, 2171, 2173, 2175, 2177, 2179, 2181, 2183, 2185, 2186,
2187, 2188, 2192, 2193, 2195, 2197, 2199, 2201, 2203, 2205,
2207, 2209, 2211, 2213, 2217, 2219, 2221, 2223, 2225, 2227,
2229, 2231, 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240,
2241, 2244, 2246, 2248, 2250, 2252, 2254, 2256, 2258, 2260,
2262, 2264, 2266, 2268, 2270, 2272, 2274, 2276, 2278, 2280,
2282, 2284, 2286, 2288, 2290, 2292, 2294, 2296, 2298, 2300,
2302, 2303, 2304, 2305, 2306, 2307, 2309, 2311, 2313, 2315,
2317, 2319, 2321, 2323, 2325, 2327, 2329, 2331, 2333, 2335,
2337, 2341, 2343, 2345, 2347, 2349, 2351, 2352, 2355, 2356,
/* 601-700 */
2357, 2358, 2359, 2361, 2363, 2364, 2365, 2366, 2367, 2368,
2369, 2370, 2371, 2372, 2373, 2374, 2376, 2378, 2380, 2382,
2384, 2385, 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393,
2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403,
2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413,
2414, 2415, 2417, 2418, 2430, 2438, 2445, 2453, 2460, 2468,
2474, 2480, 2488, 2496, 2504, 2512, 2520, 2527, 2535, 2543,
2550, 2558, 2566, 2574, 2580, 2588, 2596, 2604, 2612, 2619,
2627, 2634, 2642, 2648, 2656, 2664, 2671, 2679, 2685, 2693,
2701, 2709, 2717, 2725, 2733, 2739, 2747, 2753, 2761, 2769,
/* 701-800 */
2777, 2785, 2793, 2801, 2809, 2817, 2825, 2833, 2841, 2848,
2856, 2864, 2872, 2878, 2884, 2892, 2898, 2906, 2914, 2922,
2930, 2938, 2944, 2952, 2958, 2966, 2974, 2982, 2988, 2996,
3001, 3009, 3017, 3025, 3032, 3039, 3045, 3052, 3059, 3067,
3069, 3076, 3083, 3090, 3098, 3105, 3109, 3111, 3113, 3120,
3124, 3128, 3132, 3136, 3140, 3144, 3146, 3150, 3158, 3161,
3165, 3166, 3168, 3172, 3176, 3180, 3182, 3185, 3189, 3193,
3194, 3197, 3200, 3204, 3208, 3212, 3216, 3219, 3221, 3222,
3226, 3230, 3234, 3238, 3242, 3243, 3247, 3251, 3254, 3258,
3262, 3266, 3270, 3274, 3275, 3279, 3283, 3287, 3289, 3293,
/* 801-900 */
3296, 3300, 3303, 3307, 3311, 3315, 3319, 3321, 3324, 3327,
3330, 3334, 3338, 3340, 3342, 3346, 3350, 3354, 3358, 3361,
3365, 3369, 3373, 3377, 3381, 3385, 3389, 3393, 3394, 3398,
3402, 3406, 3410, 3413, 3417, 3421, 3425, 3429, 3433, 3435,
3439, 3443, 3446, 3450, 3453, 3457, 3458, 3461, 3464, 3468,
3472, 3476, 3478, 3481, 3485, 3489, 3493, 3497, 3501, 3505,
3507, 3511, 3514, 3517, 3521, 3524, 3525, 3527, 3529, 3533,
3536, 3540, 3541, 3545, 3548, 3551, 3555, 3559, 3563, 3567,
3569, 3570, 3574, 3576, 3578, 3582, 3586, 3590, 3593, 3596,
3600, 3604, 3608, 3612, 3616, 3620, 3623, 3626, 3630, 3632,
/* 901-1000 */
3636, 3640, 3643, 3646, 3648, 3652, 3656, 3660, 3664, 3667,
3669, 3671, 3675, 3679, 3683, 3687, 3689, 3693, 3694, 3695,
3699, 3703, 3705, 3707, 3710, 3713, 3717, 3721, 3725, 3729,
3733, 3736, 3740, 3744, 3748, 3752, 3754, 3757, 3759, 3763,
3767, 3770, 3773, 3777, 3779, 3783, 3786, 3790, 3794, 3798,
3801, 3805, 3809, 3813, 3817, 3821, 3825, 3827, 3831, 3835,
3836, 3837, 3840, 3844, 3848, 3852, 3856, 3859, 3863, 3867,
3869, 3871, 3875, 3879, 3883, 3887, 3890, 3894, 3898, 3901,
3905, 3909, 3913, 3917, 3921, 3922, 3923, 3924, 3926, 3930,
3932, 3936, 3938, 3940, 3944, 3948, 3952, 3956, 3959, 3963,
/* 1001-1100 */
3965, 3969, 3973, 3977, 3979, 3981, 3982, 3986, 3989, 3993,
3997, 4001, 4004, 4006, 4009, 4012, 4016, 4020, 4024, 4026,
4028, 4032, 4036, 4040, 4044, 4046, 4050, 4054, 4058, 4060,
4062, 4063, 4064, 4068, 4071, 4075, 4077, 4081, 4083, 4087,
4089, 4091, 4095, 4099, 4101, 4103, 4105, 4107, 4111, 4115,
4119, 4123, 4127, 4129, 4131, 4135, 4139, 4141, 4143, 4145,
4149, 4153, 4157, 4161, 4165, 4169, 4173, 4177, 4180, 4183,
4187, 4191, 4195, 4198, 4201, 4205, 4209, 4212, 4213, 4216,
4217, 4221, 4223, 4226, 4230, 4234, 4236, 4240, 4244, 4248,
4252, 4256, 4258, 4262, 4264, 4266, 4268, 4270, 4272, 4276,
/* 1101-1200 */
4279, 4283, 4285, 4287, 4289, 4293, 4295, 4299, 4300, 4301,
4305, 4309, 4313, 4317, 4319, 4323, 4325, 4329, 4331, 4333,
4335, 4337, 4341, 4345, 4349, 4351, 4353, 4357, 4361, 4365,
4367, 4369, 4373, 4377, 4381, 4383, 4387, 4389, 4391, 4395,
4399, 4403, 4407, 4411, 4413, 4414, 4415, 4418, 4419, 4421,
4423, 4427, 4429, 4431, 4433, 4435, 4437, 4439, 4443, 4446,
4450, 4452, 4456, 4458, 4460, 4462, 4466, 4469, 4473, 4477,
4481, 4483, 4487, 4489, 4491, 4493, 4497, 4499, 4501, 4504,
4506, 4510, 4513, 4514, 4515, 4518, 4521, 4522, 4525, 4526,
4527, 4530, 4533, 4534, 4537, 4541, 4542, 4543, 4544, 4545,
/* 1201-1300 */
4546, 4547, 4550, 4553, 4554, 4555, 4558, 4561, 4564, 4567,
4568, 4571, 4574, 4575, 4578, 4581, 4582, 4585, 4586, 4588,
4590, 4592, 4596, 4598, 4602, 4604, 4608, 4612, 4613, 4616,
4619, 4622, 4623, 4624, 4625, 4626, 4629, 4632, 4633, 4636,
4639, 4640, 4641, 4642, 4643, 4644, 4645, 4648, 4649, 4650,
4651, 4652, 4653, 4656, 4657, 4660, 4661, 4664, 4667, 4670,
4671, 4674, 4675, 4676, 4677, 4678, 4681, 4682, 4683, 4684,
4687, 4688, 4689, 4692, 4693, 4696, 4697, 4700, 4701, 4702,
4703, 4704, 4707, 4708, 4711, 4712, 4715, 4716, 4717, 4718,
4719, 4720, 4721, 4722, 4723, 4726, 4729, 4730, 4733, 4736,
/* 1301-(NFLS+NFPL) */
4737, 4740, 4741, 4742, 4745, 4746, 4749, 4752, 4753
};
/* Amplitude coefficients (microarcsec); indexed using the nc array. */
static const double a[] = {
/* 1-105 */
-6844318.44, 9205236.26,1328.67,1538.18, 205833.11,
153041.79, -3309.73, 853.32,2037.98, -2301.27,
81.46, 120.56, -20.39, -15.22, 1.73, -1.61, -0.10, 0.11,
-0.02, -0.02, -523908.04, 573033.42,-544.75,-458.66,
12814.01, 11714.49, 198.97,-290.91, 155.74,-143.27,
-2.75, -1.03, -1.27, -1.16, 0.00, -0.01, -90552.22,
97846.69, 111.23, 137.41,2187.91,2024.68, 41.44, -51.26,
26.92, -24.46, -0.46, -0.28, -0.22, -0.20, 82168.76,
-89618.24, -27.64, -29.05, -2004.36, -1837.32,
-36.07, 48.00, -24.43, 22.41, 0.47, 0.24, 0.20, 0.18,
58707.02,7387.02, 470.05,-192.40, 164.33, -1312.21,
-179.73, -28.93, -17.36, -1.83, -0.50, 3.57, 0.00, 0.13,
-20557.78, 22438.42, -20.84, -17.40, 501.82, 459.68,
59.20, -67.30, 6.08, -5.61, -1.36, -1.19, 28288.28,
-674.99, -34.69, 35.80, -15.07,-632.54, -11.19, 0.78, -8.41,
0.17, 0.01, 0.07, -15406.85, 20069.50, 15.12,
/* 106-219 */
31.80, 448.76, 344.50, -5.77, 1.41, 4.59, -5.02, 0.17,
0.24, -11991.74, 12902.66, 32.46, 36.70, 288.49,
268.14, 5.70, -7.06, 3.57, -3.23, -0.06, -0.04,
-8584.95, -9592.72, 4.42, -13.20,-214.50, 192.06,
23.87, 29.83, 2.54, 2.40, 0.60, -0.48,5095.50,
-6918.22, 7.19, 3.92,-154.91,-113.94, 2.86, -1.04,
-1.52, 1.73, -0.07, -0.10, -4910.93, -5331.13,
0.76, 0.40,-119.21, 109.81, 2.16, 3.20, 1.46, 1.33,
0.04, -0.02, -6245.02,-123.48, -6.68, -8.20, -2.76,
139.64, 2.71, 0.15, 1.86,2511.85, -3323.89, 1.07,
-0.90, -74.33, -56.17, 1.16, -0.01, -0.75, 0.83, -0.02,
-0.04,2307.58,3143.98, -7.52, 7.50, 70.31, -51.60, 1.46,
0.16, -0.69, -0.79, 0.02, -0.05,2372.58,2554.51, 5.93,
-6.60, 57.12, -53.05, -0.96, -1.24, -0.71, -0.64, -0.01,
-2053.16,2636.13, 5.13, 7.80, 58.94, 45.91, -0.42,
-0.12, 0.61, -0.66, 0.02, 0.03, -1825.49,
/* 220-339 */
-2423.59, 1.23, -2.00, -54.19, 40.82, -1.07, -1.02,
0.54, 0.61, -0.04, 0.04,2521.07,-122.28, -5.97, 2.90,
-2.73, -56.37, -0.82, 0.13, -0.75, -1534.09,1645.01,
6.29, 6.80, 36.78, 34.30, 0.92, -1.25, 0.46, -0.41,
-0.02, -0.01,1898.27, 47.70, -0.72, 2.50, 1.07, -42.45,
-0.94, 0.02, -0.56, -1292.02, -1387.00, 0.00,
0.00, -31.01, 28.89, 0.68, 0.00, 0.38, 0.35, -0.01,
-0.01, -1234.96,1323.81, 5.21, 5.90, 29.60, 27.61,
0.74, -1.22, 0.37, -0.33, -0.02, -0.01,1137.48,
-1233.89, -0.04, -0.30, -27.59, -25.43, -0.61, 1.00,
-0.34, 0.31, 0.01, 0.01,-813.13, -1075.60, 0.40,
0.30, -24.05, 18.18, -0.40, -0.01, 0.24, 0.27, -0.01,
0.01,1163.22, -60.90, -2.94, 1.30, -1.36, -26.01, -0.58,
0.07, -0.35,1029.70, -55.55, -2.63, 1.10, -1.25, -23.02,
-0.52, 0.06, -0.31,-556.26, 852.85, 3.16, -4.48, 19.06,
12.44, -0.81, -0.27, 0.17, -0.21, 0.00, 0.02,-603.52,
/* 340-467 */
-800.34, 0.44, 0.10, -17.90, 13.49, -0.08, -0.01, 0.18,
0.20, -0.01, 0.01,-628.24, 684.99, -0.64, -0.50, 15.32,
14.05, 3.18, -4.19, 0.19, -0.17, -0.09, -0.07,-866.48,
-16.26, 0.52, -1.30, -0.36, 19.37, 0.43, -0.01, 0.26,
-512.37, 695.54, -1.47, -1.40, 15.55, 11.46, -0.16, 0.03,
0.15, -0.17, 0.01, 0.01, 506.65, 643.75, 2.54, -2.62,
14.40, -11.33, -0.77, -0.06, -0.15, -0.16, 0.00, 0.01,
664.57, 16.81, -0.40, 1.00, 0.38, -14.86, -3.71, -0.09,
-0.20, 405.91, 522.11, 0.99, -1.50, 11.67, -9.08, -0.25,
-0.02, -0.12, -0.13,-305.78, 326.60, 1.75, 1.90, 7.30,
6.84, 0.20, -0.04, 300.99,-325.03, -0.44, -0.50, -7.27,
-6.73, -1.01, 0.01, 0.00, 0.08, 0.00, 0.02, 438.51,
10.47, -0.56, -0.20, 0.24, -9.81, -0.24, 0.01, -0.13,
-264.02, 335.24, 0.99, 1.40, 7.49, 5.90, -0.27, -0.02,
284.09, 307.03, 0.32, -0.40, 6.87, -6.35, -0.99, -0.01,
-250.54, 327.11, 0.08, 0.40, 7.31, 5.60, -0.30, 230.72,
/* 468-595 */
-304.46, 0.08, -0.10, -6.81, -5.16, 0.27, 229.78, 304.17,
-0.60, 0.50, 6.80, -5.14, 0.33, 0.01, 256.30,-276.81,
-0.28, -0.40, -6.19, -5.73, -0.14, 0.01,-212.82, 269.45,
0.84, 1.20, 6.02, 4.76, 0.14, -0.02, 196.64, 272.05,
-0.84, 0.90, 6.08, -4.40, 0.35, 0.02, 188.95, 272.22,
-0.12, 0.30, 6.09, -4.22, 0.34,-292.37, -5.10, -0.32,
-0.40, -0.11, 6.54, 0.14, 0.01, 161.79,-220.67, 0.24,
0.10, -4.93, -3.62, -0.08, 261.54, -19.94, -0.95, 0.20,
-0.45, -5.85, -0.13, 0.02, 142.16,-190.79, 0.20, 0.10,
-4.27, -3.18, -0.07, 187.95, -4.11, -0.24, 0.30, -0.09,
-4.20, -0.09, 0.01, 0.00, 0.00, -79.08, 167.90, 0.04,
0.00, 3.75, 1.77, 121.98, 131.04, -0.08, 0.10, 2.93,
-2.73, -0.06,-172.95, -8.11, -0.40, -0.20, -0.18, 3.87,
0.09, 0.01,-160.15, -55.30, -14.04, 13.90, -1.23, 3.58,
0.40, 0.31,-115.40, 123.20, 0.60, 0.70, 2.75, 2.58,
0.08, -0.01,-168.26, -2.00, 0.20, -0.20, -0.04, 3.76,
/* 596-723 */
0.08,-114.49, 123.20, 0.32, 0.40, 2.75, 2.56, 0.07,
-0.01, 112.14, 120.70, 0.28, -0.30, 2.70, -2.51, -0.07,
-0.01, 161.34, 4.03, 0.20, 0.20, 0.09, -3.61, -0.08,
91.31, 126.64, -0.40, 0.40, 2.83, -2.04, -0.04, 0.01,
105.29, 112.90, 0.44, -0.50, 2.52, -2.35, -0.07, -0.01,
98.69,-106.20, -0.28, -0.30, -2.37, -2.21, -0.06, 0.01,
86.74,-112.94, -0.08, -0.20, -2.53, -1.94, -0.05,-134.81,
3.51, 0.20, -0.20, 0.08, 3.01, 0.07, 79.03, 107.31,
-0.24, 0.20, 2.40, -1.77, -0.04, 0.01, 132.81, -10.77,
-0.52, 0.10, -0.24, -2.97, -0.07, 0.01,-130.31, -0.90,
0.04, 0.00, 0.00, 2.91, -78.56, 85.32, 0.00, 0.00,
1.91, 1.76, 0.04, 0.00, 0.00, -41.53, 89.10, 0.02,
0.00, 1.99, 0.93, 66.03, -71.00, -0.20, -0.20, -1.59,
-1.48, -0.04, 60.50, 64.70, 0.36, -0.40, 1.45, -1.35,
-0.04, -0.01, -52.27, -70.01, 0.00, 0.00, -1.57, 1.17,
0.03, -52.95, 66.29, 0.32, 0.40, 1.48, 1.18, 0.04,
/* 724-851 */
-0.01, 51.02, 67.25, 0.00, 0.00, 1.50, -1.14, -0.03,
-55.66, -60.92, 0.16, -0.20, -1.36, 1.24, 0.03, -54.81,
-59.20, -0.08, 0.20, -1.32, 1.23, 0.03, 51.32, -55.60,
0.00, 0.00, -1.24, -1.15, -0.03, 48.29, 51.80, 0.20,
-0.20, 1.16, -1.08, -0.03, -45.59, -49.00, -0.12, 0.10,
-1.10, 1.02, 0.03, 40.54, -52.69, -0.04, -0.10, -1.18,
-0.91, -0.02, -40.58, -49.51, -1.00, 1.00, -1.11, 0.91,
0.04, 0.02, -43.76, 46.50, 0.36, 0.40, 1.04, 0.98,
0.03, -0.01, 62.65, -5.00, -0.24, 0.00, -0.11, -1.40,
-0.03, 0.01, -38.57, 49.59, 0.08, 0.10, 1.11, 0.86,
0.02, -33.22, -44.04, 0.08, -0.10, -0.98, 0.74, 0.02,
37.15, -39.90, -0.12, -0.10, -0.89, -0.83, -0.02, 36.68,
-39.50, -0.04, -0.10, -0.88, -0.82, -0.02, -53.22, -3.91,
-0.20, 0.00, -0.09, 1.19, 0.03, 32.43, -42.19, -0.04,
-0.10, -0.94, -0.73, -0.02, -51.00, -2.30, -0.12, -0.10,
0.00, 1.14, -29.53, -39.11, 0.04, 0.00, -0.87, 0.66,
/* 852-979 */
0.02, 28.50, -38.92, -0.08, -0.10, -0.87, -0.64, -0.02,
26.54, 36.95, -0.12, 0.10, 0.83, -0.59, -0.01, 26.54,
34.59, 0.04, -0.10, 0.77, -0.59, -0.02, 28.35, -32.55,
-0.16, 0.20, -0.73, -0.63, -0.01, -28.00, 30.40, 0.00,
0.00, 0.68, 0.63, 0.01, -27.61, 29.40, 0.20, 0.20,
0.66, 0.62, 0.02, 40.33, 0.40, -0.04, 0.10, 0.00,
-0.90, -23.28, 31.61, -0.08, -0.10, 0.71, 0.52, 0.01,
37.75, 0.80, 0.04, 0.10, 0.00, -0.84, 23.66, 25.80,
0.00, 0.00, 0.58, -0.53, -0.01, 21.01, -27.91, 0.00,
0.00, -0.62, -0.47, -0.01, -34.81, 2.89, 0.04, 0.00,
0.00, 0.78, -23.49, -25.31, 0.00, 0.00, -0.57, 0.53,
0.01, -23.47, 25.20, 0.16, 0.20, 0.56, 0.52, 0.02,
19.58, 27.50, -0.12, 0.10, 0.62, -0.44, -0.01, -22.67,
-24.40, -0.08, 0.10, -0.55, 0.51, 0.01, -19.97, 25.00,
0.12, 0.20, 0.56, 0.45, 0.01, 21.28, -22.80, -0.08,
-0.10, -0.51, -0.48, -0.01, -30.47, 0.91, 0.04, 0.00,
/* 980-1107 */
0.00, 0.68, 18.58, 24.00, 0.04, -0.10, 0.54, -0.42,
-0.01, -18.02, 24.40, -0.04, -0.10, 0.55, 0.40, 0.01,
17.74, 22.50, 0.08, -0.10, 0.50, -0.40, -0.01, -19.41,
20.70, 0.08, 0.10, 0.46, 0.43, 0.01, -18.64, 20.11,
0.00, 0.00, 0.45, 0.42, 0.01, -16.75, 21.60, 0.04,
0.10, 0.48, 0.37, 0.01, -18.42, -20.00, 0.00, 0.00,
-0.45, 0.41, 0.01, -26.77, 1.41, 0.08, 0.00, 0.00,
0.60, -26.17, -0.19, 0.00, 0.00, 0.00, 0.59, -15.52,
20.51, 0.00, 0.00, 0.46, 0.35, 0.01, -25.42, -1.91,
-0.08, 0.00, -0.04, 0.57, 0.45, -17.42, 18.10, 0.00,
0.00, 0.40, 0.39, 0.01, 16.39, -17.60, -0.08, -0.10,
-0.39, -0.37, -0.01, -14.37, 18.91, 0.00, 0.00, 0.42,
0.32, 0.01, 23.39, -2.40, -0.12, 0.00, 0.00, -0.52,
14.32, -18.50, -0.04, -0.10, -0.41, -0.32, -0.01, 15.69,
17.08, 0.00, 0.00, 0.38, -0.35, -0.01, -22.99, 0.50,
0.04, 0.00, 0.00, 0.51, 0.00, 0.00, 14.47, -17.60,
/* 1108-1235 */
-0.01, 0.00, -0.39, -0.32, -13.33, 18.40, -0.04, -0.10,
0.41, 0.30, 22.47, -0.60, -0.04, 0.00, 0.00, -0.50,
-12.78, -17.41, 0.04, 0.00, -0.39, 0.29, 0.01, -14.10,
-15.31, 0.04, 0.00, -0.34, 0.32, 0.01, 11.98, 16.21,
-0.04, 0.00, 0.36, -0.27, -0.01, 19.65, -1.90, -0.08,
0.00, 0.00, -0.44, 19.61, -1.50, -0.08, 0.00, 0.00,
-0.44, 13.41, -14.30, -0.04, -0.10, -0.32, -0.30, -0.01,
-13.29, 14.40, 0.00, 0.00, 0.32, 0.30, 0.01, 11.14,
-14.40, -0.04, 0.00, -0.32, -0.25, -0.01, 12.24, -13.38,
0.04, 0.00, -0.30, -0.27, -0.01, 10.07, -13.81, 0.04,
0.00, -0.31, -0.23, -0.01, 10.46, 13.10, 0.08, -0.10,
0.29, -0.23, -0.01, 16.55, -1.71, -0.08, 0.00, 0.00,
-0.37, 9.75, -12.80, 0.00, 0.00, -0.29, -0.22, -0.01,
9.11, 12.80, 0.00, 0.00, 0.29, -0.20, 0.00, 0.00,
-6.44, -13.80, 0.00, 0.00, -0.31, 0.14, -9.19, -12.00,
0.00, 0.00, -0.27, 0.21, -10.30, 10.90, 0.08, 0.10,
/* 1236-1363 */
0.24, 0.23, 0.01, 14.92, -0.80, -0.04, 0.00, 0.00,
-0.33, 10.02, -10.80, 0.00, 0.00, -0.24, -0.22, -0.01,
-9.75, 10.40, 0.04, 0.00, 0.23, 0.22, 0.01, 9.67,
-10.40, -0.04, 0.00, -0.23, -0.22, -0.01, -8.28, -11.20,
0.04, 0.00, -0.25, 0.19, 13.32, -1.41, -0.08, 0.00,
0.00, -0.30, 8.27, 10.50, 0.04, 0.00, 0.23, -0.19,
0.00, 0.00, 13.13, 0.00, 0.00, 0.00, 0.00, -0.29,
-12.93, 0.70, 0.04, 0.00, 0.00, 0.29, 7.91, -10.20,
0.00, 0.00, -0.23, -0.18, -7.84, -10.00, -0.04, 0.00,
-0.22, 0.18, 7.44, 9.60, 0.00, 0.00, 0.21, -0.17,
-7.64, 9.40, 0.08, 0.10, 0.21, 0.17, 0.01, -11.38,
0.60, 0.04, 0.00, 0.00, 0.25, -7.48, 8.30, 0.00,
0.00, 0.19, 0.17, -10.98, -0.20, 0.00, 0.00, 0.00,
0.25, 10.98, 0.20, 0.00, 0.00, 0.00, -0.25, 7.40,
-7.90, -0.04, 0.00, -0.18, -0.17, -6.09, 8.40, -0.04,
0.00, 0.19, 0.14, -6.94, -7.49, 0.00, 0.00, -0.17,
/* 1364-1491 */
0.16, 6.92, 7.50, 0.04, 0.00, 0.17, -0.15, 6.20,
8.09, 0.00, 0.00, 0.18, -0.14, -6.12, 7.80, 0.04,
0.00, 0.17, 0.14, 5.85, -7.50, 0.00, 0.00, -0.17,
-0.13, -6.48, 6.90, 0.08, 0.10, 0.15, 0.14, 0.01,
6.32, 6.90, 0.00, 0.00, 0.15, -0.14, 5.61, -7.20,
0.00, 0.00, -0.16, -0.13, 9.07, 0.00, 0.00, 0.00,
0.00, -0.20, 5.25, 6.90, 0.00, 0.00, 0.15, -0.12,
-8.47, -0.40, 0.00, 0.00, 0.00, 0.19, 6.32, -5.39,
-1.11, 1.10, -0.12, -0.14, 0.02, 0.02, 5.73, -6.10,
-0.04, 0.00, -0.14, -0.13, 4.70, 6.60, -0.04, 0.00,
0.15, -0.11, -4.90, -6.40, 0.00, 0.00, -0.14, 0.11,
-5.33, 5.60, 0.04, 0.10, 0.13, 0.12, 0.01, -4.81,
6.00, 0.04, 0.00, 0.13, 0.11, 5.13, 5.50, 0.04,
0.00, 0.12, -0.11, 4.50, 5.90, 0.00, 0.00, 0.13,
-0.10, -4.22, 6.10, 0.00, 0.00, 0.14, -4.53, 5.70,
0.00, 0.00, 0.13, 0.10, 4.18, 5.70, 0.00, 0.00,
/* 1492-1619 */
0.13, -4.75, -5.19, 0.00, 0.00, -0.12, 0.11, -4.06,
5.60, 0.00, 0.00, 0.13, -3.98, 5.60, -0.04, 0.00,
0.13, 4.02, -5.40, 0.00, 0.00, -0.12, 4.49, -4.90,
-0.04, 0.00, -0.11, -0.10, -3.62, -5.40, -0.16, 0.20,
-0.12, 0.00, 0.01, 4.38, 4.80, 0.00, 0.00, 0.11,
-6.40, -0.10, 0.00, 0.00, 0.00, 0.14, -3.98, 5.00,
0.04, 0.00, 0.11, -3.82, -5.00, 0.00, 0.00, -0.11,
-3.71, 5.07, 0.00, 0.00, 0.11, 4.14, 4.40, 0.00,
0.00, 0.10, -6.01, -0.50, -0.04, 0.00, 0.00, 0.13,
-4.04, 4.39, 0.00, 0.00, 0.10, 3.45, -4.72, 0.00,
0.00, -0.11, 3.31, 4.71, 0.00, 0.00, 0.11, 3.26,
-4.50, 0.00, 0.00, -0.10, -3.26, -4.50, 0.00, 0.00,
-0.10, -3.34, -4.40, 0.00, 0.00, -0.10, -3.74, -4.00,
3.70, 4.00, 3.34, -4.30, 3.30, -4.30, -3.66, 3.90,
0.04, 3.66, 3.90, 0.04, -3.62, -3.90, -3.61, 3.90,
-0.20, 5.30, 0.00, 0.00, 0.12, 3.06, 4.30, 3.30,
/* 1620-1747 */
4.00, 0.40, 0.20, 3.10, 4.10, -3.06, 3.90, -3.30,
-3.60, -3.30, 3.36, 0.01, 3.14, 3.40, -4.57, -0.20,
0.00, 0.00, 0.00, 0.10, -2.70, -3.60, 2.94, -3.20,
-2.90, 3.20, 2.47, -3.40, 2.55, -3.30, 2.80, -3.08,
2.51, 3.30, -4.10, 0.30, -0.12, -0.10, 4.10, 0.20,
-2.74, 3.00, 2.46, 3.23, -3.66, 1.20, -0.20, 0.20,
3.74, -0.40, -2.51, -2.80, -3.74, 2.27, -2.90, 0.00,
0.00, -2.50, 2.70, -2.51, 2.60, -3.50, 0.20, 3.38,
-2.22, -2.50, 3.26, -0.40, 1.95, -2.60, 3.22, -0.40,
-0.04, -1.79, -2.60, 1.91, 2.50, 0.74, 3.05, -0.04,
0.08, 2.11, -2.30, -2.11, 2.20, -1.87, -2.40, 2.03,
-2.20, -2.03, 2.20, 2.98, 0.00, 0.00, 2.98, -1.71,
2.40, 2.94, -0.10, -0.12, 0.10, 1.67, 2.40, -1.79,
2.30, -1.79, 2.20, -1.67, 2.20, 1.79, -2.00, 1.87,
-1.90, 1.63, -2.10, -1.59, 2.10, 1.55, -2.10, -1.55,
2.10, -2.59, -0.20, -1.75, -1.90, -1.75, 1.90, -1.83,
/* 1748-1875 */
-1.80, 1.51, 2.00, -1.51, -2.00, 1.71, 1.80, 1.31,
2.10, -1.43, 2.00, 1.43, 2.00, -2.43, -1.51, 1.90,
-1.47, 1.90, 2.39, 0.20, -2.39, 1.39, 1.90, 1.39,
-1.80, 1.47, -1.60, 1.47, -1.60, 1.43, -1.50, -1.31,
1.60, 1.27, -1.60, -1.27, 1.60, 1.27, -1.60, 2.03,
1.35, 1.50, -1.39, -1.40, 1.95, -0.20, -1.27, 1.49,
1.19, 1.50, 1.27, 1.40, 1.15, 1.50, 1.87, -0.10,
-1.12, -1.50, 1.87, -1.11, -1.50, -1.11, -1.50, 0.00,
0.00, 1.19, 1.40, 1.27, -1.30, -1.27, -1.30, -1.15,
1.40, -1.23, 1.30, -1.23, -1.30, 1.22, -1.29, 1.07,
-1.40, 1.75, -0.20, -1.03, -1.40, -1.07, 1.20, -1.03,
1.15, 1.07, 1.10, 1.51, -1.03, 1.10, 1.03, -1.10,
0.00, 0.00, -1.03, -1.10, 0.91, -1.20, -0.88, -1.20,
-0.88, 1.20, -0.95, 1.10, -0.95, -1.10, 1.43, -1.39,
0.95, -1.00, -0.95, 1.00, -0.80, 1.10, 0.91, -1.00,
-1.35, 0.88, 1.00, -0.83, 1.00, -0.91, 0.90, 0.91,
/* 1876-2003 */
0.90, 0.88, -0.90, -0.76, -1.00, -0.76, 1.00, 0.76,
1.00, -0.72, 1.00, 0.84, -0.90, 0.84, 0.90, 1.23,
0.00, 0.00, -0.52, -1.10, -0.68, 1.00, 1.19, -0.20,
1.19, 0.76, 0.90, 1.15, -0.10, 1.15, -0.10, 0.72,
-0.90, -1.15, -1.15, 0.68, 0.90, -0.68, 0.90, -1.11,
0.00, 0.00, 0.20, 0.79, 0.80, -1.11, -0.10, 0.00,
0.00, -0.48, -1.00, -0.76, -0.80, -0.72, -0.80, -1.07,
-0.10, 0.64, 0.80, -0.64, -0.80, 0.64, 0.80, 0.40,
0.60, 0.52, -0.50, -0.60, -0.80, -0.71, 0.70, -0.99,
0.99, 0.56, 0.80, -0.56, 0.80, 0.68, -0.70, 0.68,
0.70, -0.95, -0.64, 0.70, 0.64, 0.70, -0.60, 0.70,
-0.60, -0.70, -0.91, -0.10, -0.51, 0.76, -0.91, -0.56,
0.70, 0.88, 0.88, -0.63, -0.60, 0.55, -0.60, -0.80,
0.80, -0.80, -0.52, 0.60, 0.52, 0.60, 0.52, -0.60,
-0.48, 0.60, 0.48, 0.60, 0.48, 0.60, -0.76, 0.44,
-0.60, 0.52, -0.50, -0.52, 0.50, 0.40, 0.60, -0.40,
/* 2004-2131 */
-0.60, 0.40, -0.60, 0.72, -0.72, -0.51, -0.50, -0.48,
0.50, 0.48, -0.50, -0.48, 0.50, -0.48, 0.50, 0.48,
-0.50, -0.48, -0.50, -0.68, -0.68, 0.44, 0.50, -0.64,
-0.10, -0.64, -0.10, -0.40, 0.50, 0.40, 0.50, 0.40,
0.50, 0.00, 0.00, -0.40, -0.50, -0.36, -0.50, 0.36,
-0.50, 0.60, -0.60, 0.40, -0.40, 0.40, 0.40, -0.40,
0.40, -0.40, 0.40, -0.56, -0.56, 0.36, -0.40, -0.36,
0.40, 0.36, -0.40, -0.36, -0.40, 0.36, 0.40, 0.36,
0.40, -0.52, 0.52, 0.52, 0.32, 0.40, -0.32, 0.40,
-0.32, 0.40, -0.32, 0.40, 0.32, -0.40, -0.32, -0.40,
0.32, -0.40, 0.28, -0.40, -0.28, 0.40, 0.28, -0.40,
0.28, 0.40, 0.48, -0.48, 0.48, 0.36, -0.30, -0.36,
-0.30, 0.00, 0.00, 0.20, 0.40, -0.44, 0.44, -0.44,
-0.44, -0.44, -0.44, 0.32, -0.30, 0.32, 0.30, 0.24,
0.30, -0.12, -0.10, -0.28, 0.30, 0.28, 0.30, 0.28,
0.30, 0.28, -0.30, 0.28, -0.30, 0.28, -0.30, 0.28,
/* 2132-2259 */
0.30, -0.28, 0.30, 0.40, 0.40, -0.24, 0.30, 0.24,
-0.30, 0.24, -0.30, -0.24, -0.30, 0.24, 0.30, 0.24,
-0.30, -0.24, 0.30, 0.24, -0.30, -0.24, -0.30, 0.24,
-0.30, 0.24, 0.30, -0.24, 0.30, -0.24, 0.30, 0.20,
-0.30, 0.20, -0.30, 0.20, -0.30, 0.20, 0.30, 0.20,
-0.30, 0.20, -0.30, 0.20, 0.30, 0.20, 0.30, -0.20,
-0.30, 0.20, -0.30, 0.20, -0.30, -0.36, -0.36, -0.36,
-0.04, 0.30, 0.12, -0.10, -0.32, -0.24, 0.20, 0.24,
0.20, 0.20, -0.20, -0.20, -0.20, -0.20, -0.20, 0.20,
0.20, 0.20, -0.20, 0.20, 0.20, 0.20, 0.20, -0.20,
-0.20, 0.00, 0.00, -0.20, -0.20, -0.20, 0.20, -0.20,
0.20, 0.20, -0.20, -0.20, -0.20, 0.20, 0.20, 0.20,
0.20, 0.20, -0.20, 0.20, -0.20, 0.28, 0.28, 0.28,
0.28, 0.28, 0.28, -0.28, 0.28, 0.12, 0.00, 0.24,
0.16, -0.20, 0.16, -0.20, 0.16, -0.20, 0.16, 0.20,
-0.16, 0.20, 0.16, 0.20, -0.16, 0.20, -0.16, 0.20,
/* 2260-2387 */
-0.16, 0.20, 0.16, -0.20, 0.16, 0.20, 0.16, -0.20,
-0.16, 0.20, -0.16, -0.20, -0.16, 0.20, 0.16, 0.20,
0.16, -0.20, 0.16, -0.20, 0.16, 0.20, 0.16, 0.20,
0.16, 0.20, -0.16, -0.20, 0.16, 0.20, -0.16, 0.20,
0.16, 0.20, -0.16, -0.20, 0.16, -0.20, 0.16, -0.20,
-0.16, -0.20, 0.24, -0.24, -0.24, 0.24, 0.24, 0.12,
0.20, 0.12, 0.20, -0.12, -0.20, 0.12, -0.20, 0.12,
-0.20, -0.12, 0.20, -0.12, 0.20, -0.12, -0.20, 0.12,
0.20, 0.12, 0.20, 0.12, -0.20, -0.12, 0.20, 0.12,
-0.20, -0.12, 0.20, 0.12, 0.20, 0.00, 0.00, -0.12,
0.20, -0.12, 0.20, 0.12, -0.20, -0.12, 0.20, 0.12,
0.20, 0.00, -0.21, -0.20, 0.00, 0.00, 0.20, -0.20,
-0.20, -0.20, 0.20, -0.16, -0.10, 0.00, 0.17, 0.16,
0.16, 0.16, 0.16, -0.16, 0.16, 0.16, -0.16, 0.16,
-0.16, 0.16, 0.12, 0.10, 0.12, -0.10, -0.12, 0.10,
-0.12, 0.10, 0.12, -0.10, -0.12, 0.12, -0.12, 0.12,
/* 2388-2515 */
-0.12, 0.12, -0.12, -0.12, -0.12, -0.12, -0.12, -0.12,
-0.12, 0.12, 0.12, 0.12, 0.12, -0.12, -0.12, 0.12,
0.12, 0.12, -0.12, 0.12, -0.12, -0.12, -0.12, 0.12,
-0.12, -0.12, 0.12, 0.00, 0.11, 0.11,-122.67, 164.70,
203.78, 273.50, 3.58, 2.74, 6.18, -4.56, 0.00, -0.04,
0.00, -0.07, 57.44, -77.10, 95.82, 128.60, -1.77, -1.28,
2.85, -2.14, 82.14, 89.50, 0.00, 0.00, 2.00, -1.84,
-0.04, 47.73, -64.10, 23.79, 31.90, -1.45, -1.07, 0.69,
-0.53, -46.38, 50.50, 0.00, 0.00, 1.13, 1.04, 0.02,
-18.38, 0.00, 63.80, 0.00, 0.00, 0.41, 0.00, -1.43,
59.07, 0.00, 0.00, 0.00, 0.00, -1.32, 57.28, 0.00,
0.00, 0.00, 0.00, -1.28, -48.65, 0.00, -1.15, 0.00,
0.00, 1.09, 0.00, 0.03, -18.30, 24.60, -17.30, -23.20,
0.56, 0.41, -0.51, 0.39, -16.91, 26.90, 8.43, 13.30,
0.60, 0.38, 0.31, -0.19, 1.23, -1.70, -19.13, -25.70,
-0.03, -0.03, -0.58, 0.43, -0.72, 0.90, -17.34, -23.30,
/* 2516-2643 */
0.03, 0.02, -0.52, 0.39, -19.49, -21.30, 0.00, 0.00,
-0.48, 0.44, 0.01, 20.57, -20.10, 0.64, 0.70, -0.45,
-0.46, 0.00, -0.01, 4.89, 5.90, -16.55, 19.90, 0.14,
-0.11, 0.44, 0.37, 18.22, 19.80, 0.00, 0.00, 0.44,
-0.41, -0.01, 4.89, -5.30, -16.51, -18.00, -0.11, -0.11,
-0.41, 0.37, -17.86, 0.00, 17.10, 0.00, 0.00, 0.40,
0.00, -0.38, 0.32, 0.00, 24.42, 0.00, 0.00, -0.01,
0.00, -0.55, -23.79, 0.00, 0.00, 0.00, 0.00, 0.53,
14.72, -16.00, -0.32, 0.00, -0.36, -0.33, -0.01, 0.01,
3.34, -4.50, 11.86, 15.90, -0.11, -0.07, 0.35, -0.27,
-3.26, 4.40, 11.62, 15.60, 0.09, 0.07, 0.35, -0.26,
-19.53, 0.00, 5.09, 0.00, 0.00, 0.44, 0.00, -0.11,
-13.48, 14.70, 0.00, 0.00, 0.33, 0.30, 0.01, 10.86,
-14.60, 3.18, 4.30, -0.33, -0.24, 0.09, -0.07, -11.30,
-15.10, 0.00, 0.00, -0.34, 0.25, 0.01, 2.03, -2.70,
10.82, 14.50, -0.07, -0.05, 0.32, -0.24, 17.46, 0.00,
/* 2644-2771 */
0.00, 0.00, 0.00, -0.39, 16.43, 0.00, 0.52, 0.00,
0.00, -0.37, 0.00, -0.01, 9.35, 0.00, 13.29, 0.00,
0.00, -0.21, 0.00, -0.30, -10.42, 11.40, 0.00, 0.00,
0.25, 0.23, 0.01, 0.44, 0.50, -10.38, 11.30, 0.02,
-0.01, 0.25, 0.23, -14.64, 0.00, 0.00, 0.00, 0.00,
0.33, 0.56, 0.80, -8.67, 11.70, 0.02, -0.01, 0.26,
0.19, 13.88, 0.00, -2.47, 0.00, 0.00, -0.31, 0.00,
0.06, -1.99, 2.70, 7.72, 10.30, 0.06, 0.04, 0.23,
-0.17, -0.20, 0.00, 13.05, 0.00, 0.00, 0.00, 0.00,
-0.29, 6.92, -9.30, 3.34, 4.50, -0.21, -0.15, 0.10,
-0.07, -6.60, 0.00, 10.70, 0.00, 0.00, 0.15, 0.00,
-0.24, -8.04, -8.70, 0.00, 0.00, -0.19, 0.18, -10.58,
0.00, -3.10, 0.00, 0.00, 0.24, 0.00, 0.07, -7.32,
8.00, -0.12, -0.10, 0.18, 0.16, 1.63, 1.70, 6.96,
-7.60, 0.03, -0.04, -0.17, -0.16, -3.62, 0.00, 9.86,
0.00, 0.00, 0.08, 0.00, -0.22, 0.20, -0.20, -6.88,
/* 2772-2899 */
-7.50, 0.00, 0.00, -0.17, 0.15, -8.99, 0.00, 4.02,
0.00, 0.00, 0.20, 0.00, -0.09, -1.07, 1.40, -5.69,
-7.70, 0.03, 0.02, -0.17, 0.13, 6.48, -7.20, -0.48,
-0.50, -0.16, -0.14, -0.01, 0.01, 5.57, -7.50, 1.07,
1.40, -0.17, -0.12, 0.03, -0.02, 8.71, 0.00, 3.54,
0.00, 0.00, -0.19, 0.00, -0.08, 0.40, 0.00, 9.27,
0.00, 0.00, -0.01, 0.00, -0.21, -6.13, 6.70, -1.19,
-1.30, 0.15, 0.14, -0.03, 0.03, 5.21, -5.70, -2.51,
-2.60, -0.13, -0.12, -0.06, 0.06, 5.69, -6.20, -0.12,
-0.10, -0.14, -0.13, -0.01, 2.03, -2.70, 4.53, 6.10,
-0.06, -0.05, 0.14, -0.10, 5.01, 5.50, -2.51, 2.70,
0.12, -0.11, 0.06, 0.06, -1.91, 2.60, -4.38, -5.90,
0.06, 0.04, -0.13, 0.10, 4.65, -6.30, 0.00, 0.00,
-0.14, -0.10, -5.29, 5.70, 0.00, 0.00, 0.13, 0.12,
-2.23, -4.00, -4.65, 4.20, -0.09, 0.05, 0.10, 0.10,
-4.53, 6.10, 0.00, 0.00, 0.14, 0.10, 2.47, 2.70,
/* 2900-3027 */
-4.46, 4.90, 0.06, -0.06, 0.11, 0.10, -5.05, 5.50,
0.84, 0.90, 0.12, 0.11, 0.02, -0.02, 4.97, -5.40,
-1.71, 0.00, -0.12, -0.11, 0.00, 0.04, -0.99, -1.30,
4.22, -5.70, -0.03, 0.02, -0.13, -0.09, 0.99, 1.40,
4.22, -5.60, 0.03, -0.02, -0.13, -0.09, -4.69, -5.20,
0.00, 0.00, -0.12, 0.10, -3.42, 0.00, 6.09, 0.00,
0.00, 0.08, 0.00, -0.14, -4.65, -5.10, 0.00, 0.00,
-0.11, 0.10, 0.00, 0.00, -4.53, -5.00, 0.00, 0.00,
-0.11, 0.10, -2.43, -2.70, -3.82, 4.20, -0.06, 0.05,
0.10, 0.09, 0.00, 0.00, -4.53, 4.90, 0.00, 0.00,
0.11, 0.10, -4.49, -4.90, 0.00, 0.00, -0.11, 0.10,
2.67, -2.90, -3.62, -3.90, -0.06, -0.06, -0.09, 0.08,
3.94, -5.30, 0.00, 0.00, -0.12, -3.38, 3.70, -2.78,
-3.10, 0.08, 0.08, -0.07, 0.06, 3.18, -3.50, -2.82,
-3.10, -0.08, -0.07, -0.07, 0.06, -5.77, 0.00, 1.87,
0.00, 0.00, 0.13, 0.00, -0.04, 3.54, -4.80, -0.64,
/* 3028-3155 */
-0.90, -0.11, 0.00, -0.02, -3.50, -4.70, 0.68, -0.90,
-0.11, 0.00, -0.02, 5.49, 0.00, 0.00, 0.00, 0.00,
-0.12, 1.83, -2.50, 2.63, 3.50, -0.06, 0.00, 0.08,
3.02, -4.10, 0.68, 0.90, -0.09, 0.00, 0.02, 0.00,
0.00, 5.21, 0.00, 0.00, 0.00, 0.00, -0.12, -3.54,
3.80, 2.70, 3.60, -1.35, 1.80, 0.08, 0.00, 0.04,
-2.90, 3.90, 0.68, 0.90, 0.09, 0.00, 0.02, 0.80,
-1.10, -2.78, -3.70, -0.02, 0.00, -0.08, 4.10, 0.00,
-2.39, 0.00, 0.00, -0.09, 0.00, 0.05, -1.59, 2.10,
2.27, 3.00, 0.05, 0.00, 0.07, -2.63, 3.50, -0.48,
-0.60, -2.94, -3.20, -2.94, 3.20, 2.27, -3.00, -1.11,
-1.50, -0.07, 0.00, -0.03, -0.56, -0.80, -2.35, 3.10,
0.00, -0.60, -3.42, 1.90, -0.12, -0.10, 2.63, -2.90,
2.51, 2.80, -0.64, 0.70, -0.48, -0.60, 2.19, -2.90,
0.24, -0.30, 2.15, 2.90, 2.15, -2.90, 0.52, 0.70,
2.07, -2.80, -3.10, 0.00, 1.79, 0.00, 0.00, 0.07,
/* 3156-3283 */
0.00, -0.04, 0.88, 0.00, -3.46, 2.11, 2.80, -0.36,
0.50, 3.54, -0.20, -3.50, -1.39, 1.50, -1.91, -2.10,
-1.47, 2.00, 1.39, 1.90, 2.07, -2.30, 0.91, 1.00,
1.99, -2.70, 3.30, 0.00, 0.60, -0.44, -0.70, -1.95,
2.60, 2.15, -2.40, -0.60, -0.70, 3.30, 0.84, 0.00,
-3.10, -3.10, 0.00, -0.72, -0.32, 0.40, -1.87, -2.50,
1.87, -2.50, 0.32, 0.40, -0.24, 0.30, -1.87, -2.50,
-0.24, -0.30, 1.87, -2.50, -2.70, 0.00, 1.55, 2.03,
2.20, -2.98, -1.99, -2.20, 0.12, -0.10, -0.40, 0.50,
1.59, 2.10, 0.00, 0.00, -1.79, 2.00, -1.03, 1.40,
-1.15, -1.60, 0.32, 0.50, 1.39, -1.90, 2.35, -1.27,
1.70, 0.60, 0.80, -0.32, -0.40, 1.35, -1.80, 0.44,
0.00, 2.23, -0.84, 0.90, -1.27, -1.40, -1.47, 1.60,
-0.28, -0.30, -0.28, 0.40, -1.27, -1.70, 0.28, -0.40,
-1.43, -1.50, 0.00, 0.00, -1.27, -1.70, 2.11, -0.32,
-0.40, -1.23, 1.60, 1.19, -1.30, -0.72, -0.80, 0.72,
/* 3284-3411 */
-0.80, -1.15, -1.30, -1.35, -1.50, -1.19, -1.60, -0.12,
0.20, 1.79, 0.00, -0.88, -0.28, 0.40, 1.11, 1.50,
-1.83, 0.00, 0.56, -0.12, 0.10, -1.27, -1.40, 0.00,
0.00, 1.15, 1.50, -0.12, 0.20, 1.11, 1.50, 0.36,
-0.50, -1.07, -1.40, -1.11, 1.50, 1.67, 0.00, 0.80,
-1.11, 0.00, 1.43, 1.23, -1.30, -0.24, -1.19, -1.30,
-0.24, 0.20, -0.44, -0.90, -0.95, 1.10, 1.07, -1.40,
1.15, -1.30, 1.03, -1.10, -0.56, -0.60, -0.68, 0.90,
-0.76, -1.00, -0.24, -0.30, 0.95, -1.30, 0.56, 0.70,
0.84, -1.10, -0.56, 0.00, -1.55, 0.91, -1.30, 0.28,
0.30, 0.16, -0.20, 0.95, 1.30, 0.40, -0.50, -0.88,
-1.20, 0.95, -1.10, -0.48, -0.50, 0.00, 0.00, -1.07,
1.20, 0.44, -0.50, 0.95, 1.10, 0.00, 0.00, 0.92,
-1.30, 0.95, 1.00, -0.52, 0.60, 1.59, 0.24, -0.40,
0.91, 1.20, 0.84, -1.10, -0.44, -0.60, 0.84, 1.10,
-0.44, 0.60, -0.44, 0.60, -0.84, -1.10, -0.80, 0.00,
/* 3412-3539 */
1.35, 0.76, 0.20, -0.91, -1.00, 0.20, -0.30, -0.91,
-1.20, -0.95, 1.00, -0.48, -0.50, 0.88, 1.00, 0.48,
-0.50, -0.95, -1.10, 0.20, -0.20, -0.99, 1.10, -0.84,
1.10, -0.24, -0.30, 0.20, -0.30, 0.84, 1.10, -1.39,
0.00, -0.28, -0.16, 0.20, 0.84, 1.10, 0.00, 0.00,
1.39, 0.00, 0.00, -0.95, 1.00, 1.35, -0.99, 0.00,
0.88, -0.52, 0.00, -1.19, 0.20, 0.20, 0.76, -1.00,
0.00, 0.00, 0.76, 1.00, 0.00, 0.00, 0.76, 1.00,
-0.76, 1.00, 0.00, 0.00, 1.23, 0.76, 0.80, -0.32,
0.40, -0.72, 0.80, -0.40, -0.40, 0.00, 0.00, -0.80,
-0.90, -0.68, 0.90, -0.16, -0.20, -0.16, -0.20, 0.68,
-0.90, -0.36, 0.50, -0.56, -0.80, 0.72, -0.90, 0.44,
-0.60, -0.48, -0.70, -0.16, 0.00, -1.11, 0.32, 0.00,
-1.07, 0.60, -0.80, -0.28, -0.40, -0.64, 0.00, 0.91,
1.11, 0.64, -0.90, 0.76, -0.80, 0.00, 0.00, -0.76,
-0.80, 1.03, 0.00, -0.36, -0.64, -0.70, 0.36, -0.40,
/* 3540-3667 */
1.07, 0.36, -0.50, -0.52, -0.70, 0.60, 0.00, 0.88,
0.95, 0.00, 0.48, 0.16, -0.20, 0.60, 0.80, 0.16,
-0.20, -0.60, -0.80, 0.00, -1.00, 0.12, 0.20, 0.16,
-0.20, 0.68, 0.70, 0.59, -0.80, -0.99, -0.56, -0.60,
0.36, -0.40, -0.68, -0.70, -0.68, -0.70, -0.36, -0.50,
-0.44, 0.60, 0.64, 0.70, -0.12, 0.10, -0.52, 0.60,
0.36, 0.40, 0.00, 0.00, 0.95, -0.84, 0.00, 0.44,
0.56, 0.60, 0.32, -0.30, 0.00, 0.00, 0.60, 0.70,
0.00, 0.00, 0.60, 0.70, -0.12, -0.20, 0.52, -0.70,
0.00, 0.00, 0.56, 0.70, -0.12, 0.10, -0.52, -0.70,
0.00, 0.00, 0.88, -0.76, 0.00, -0.44, 0.00, 0.00,
-0.52, -0.70, 0.52, -0.70, 0.36, -0.40, -0.44, -0.50,
0.00, 0.00, 0.60, 0.60, 0.84, 0.00, 0.12, -0.24,
0.00, 0.80, -0.56, 0.60, -0.32, -0.30, 0.48, -0.50,
0.28, -0.30, -0.48, -0.50, 0.12, 0.20, 0.48, -0.60,
0.48, 0.60, -0.12, 0.20, 0.24, 0.00, 0.76, -0.52,
/* 3668-3795 */
-0.60, -0.52, 0.60, 0.48, -0.50, -0.24, -0.30, 0.12,
-0.10, 0.48, 0.60, 0.52, -0.20, 0.36, 0.40, -0.44,
0.50, -0.24, -0.30, -0.48, -0.60, -0.44, -0.60, -0.12,
0.10, 0.76, 0.76, 0.20, -0.20, 0.48, 0.50, 0.40,
-0.50, -0.24, -0.30, 0.44, -0.60, 0.44, -0.60, 0.36,
0.00, -0.64, 0.72, 0.00, -0.12, 0.00, -0.10, -0.40,
-0.60, -0.20, -0.20, -0.44, 0.50, -0.44, 0.50, 0.20,
0.20, -0.44, -0.50, 0.20, -0.20, -0.20, 0.20, -0.44,
-0.50, 0.64, 0.00, 0.32, -0.36, 0.50, -0.20, -0.30,
0.12, -0.10, 0.48, 0.50, -0.12, 0.30, -0.36, -0.50,
0.00, 0.00, 0.48, 0.50, -0.48, 0.50, 0.68, 0.00,
-0.12, 0.56, -0.40, 0.44, -0.50, -0.12, -0.10, 0.24,
0.30, -0.40, 0.40, 0.64, 0.00, -0.24, 0.64, 0.00,
-0.20, 0.00, 0.00, 0.44, -0.50, 0.44, 0.50, -0.12,
0.20, -0.36, -0.50, 0.12, 0.00, 0.64, -0.40, 0.50,
0.00, 0.10, 0.00, 0.00, -0.40, 0.50, 0.00, 0.00,
/* 3796-3923 */
-0.40, -0.50, 0.56, 0.00, 0.28, 0.00, 0.10, 0.36,
0.50, 0.00, -0.10, 0.36, -0.50, 0.36, 0.50, 0.00,
-0.10, 0.24, -0.20, -0.36, -0.40, 0.16, 0.20, 0.40,
-0.40, 0.00, 0.00, -0.36, -0.50, -0.36, -0.50, -0.32,
-0.50, -0.12, 0.10, 0.20, 0.20, -0.36, 0.40, -0.60,
0.60, 0.28, 0.00, 0.52, 0.12, -0.10, 0.40, 0.40,
0.00, -0.50, 0.20, -0.20, -0.32, 0.40, 0.16, 0.20,
-0.16, 0.20, 0.32, 0.40, 0.56, 0.00, -0.12, 0.32,
-0.40, -0.16, -0.20, 0.00, 0.00, 0.40, 0.40, -0.40,
-0.40, -0.40, 0.40, -0.36, 0.40, 0.12, 0.10, 0.00,
0.10, 0.36, 0.40, 0.00, -0.10, 0.36, 0.40, -0.36,
0.40, 0.00, 0.10, 0.32, 0.00, 0.44, 0.12, 0.20,
0.28, -0.40, 0.00, 0.00, 0.36, 0.40, 0.32, -0.40,
-0.16, 0.12, 0.10, 0.32, -0.40, 0.20, 0.30, -0.24,
0.30, 0.00, 0.10, 0.32, 0.40, 0.00, -0.10, -0.32,
-0.40, -0.32, 0.40, 0.00, 0.10, -0.52, -0.52, 0.52,
/* 3924-4051 */
0.32, -0.40, 0.00, 0.00, 0.32, 0.40, 0.32, -0.40,
0.00, 0.00, -0.32, -0.40, -0.32, 0.40, 0.32, 0.40,
0.00, 0.00, 0.32, 0.40, 0.00, 0.00, -0.32, -0.40,
0.00, 0.00, 0.32, 0.40, 0.16, 0.20, 0.32, -0.30,
-0.16, 0.00, -0.48, -0.20, 0.20, -0.28, -0.30, 0.28,
-0.40, 0.00, 0.00, 0.28, -0.40, 0.00, 0.00, 0.28,
-0.40, 0.00, 0.00, -0.28, -0.40, 0.28, 0.40, -0.28,
-0.40, -0.48, -0.20, 0.20, 0.24, 0.30, 0.44, 0.00,
0.16, 0.24, 0.30, 0.16, -0.20, 0.24, 0.30, -0.12,
0.20, 0.20, 0.30, -0.16, 0.20, 0.00, 0.00, 0.44,
-0.32, 0.30, 0.24, 0.00, -0.36, 0.36, 0.00, 0.24,
0.12, -0.20, 0.20, 0.30, -0.12, 0.00, -0.28, 0.30,
-0.24, 0.30, 0.12, 0.10, -0.28, -0.30, -0.28, 0.30,
0.00, 0.00, -0.28, -0.30, 0.00, 0.00, -0.28, -0.30,
0.00, 0.00, 0.28, 0.30, 0.00, 0.00, -0.28, -0.30,
-0.28, 0.30, 0.00, 0.00, -0.28, -0.30, 0.00, 0.00,
/* 4052-4179 */
0.28, 0.30, 0.00, 0.00, -0.28, 0.30, 0.28, -0.30,
-0.28, 0.30, 0.40, 0.40, -0.24, 0.30, 0.00, -0.10,
0.16, 0.00, 0.36, -0.20, 0.30, -0.12, -0.10, -0.24,
-0.30, 0.00, 0.00, -0.24, 0.30, -0.24, 0.30, 0.00,
0.00, -0.24, 0.30, -0.24, 0.30, 0.24, -0.30, 0.00,
0.00, 0.24, -0.30, 0.00, 0.00, 0.24, 0.30, 0.24,
-0.30, 0.24, 0.30, -0.24, 0.30, -0.24, 0.30, -0.20,
0.20, -0.16, -0.20, 0.00, 0.00, -0.32, 0.20, 0.00,
0.10, 0.20, -0.30, 0.20, -0.20, 0.12, 0.20, -0.16,
0.20, 0.16, 0.20, 0.20, 0.30, 0.20, 0.30, 0.00,
0.00, -0.20, 0.30, 0.00, 0.00, 0.20, 0.30, -0.20,
-0.30, -0.20, -0.30, 0.20, -0.30, 0.00, 0.00, 0.20,
0.30, 0.00, 0.00, 0.20, 0.30, 0.00, 0.00, 0.20,
0.30, 0.00, 0.00, 0.20, 0.30, 0.00, 0.00, 0.20,
-0.30, 0.00, 0.00, -0.20, -0.30, 0.00, 0.00, -0.20,
0.30, 0.00, 0.00, -0.20, 0.30, 0.00, 0.00, 0.36,
/* 4180-4307 */
0.00, 0.00, 0.36, 0.12, 0.10, -0.24, 0.20, 0.12,
-0.20, -0.16, -0.20, -0.13, 0.10, 0.22, 0.21, 0.20,
0.00, -0.28, 0.32, 0.00, -0.12, -0.20, -0.20, 0.12,
-0.10, 0.12, 0.10, -0.20, 0.20, 0.00, 0.00, -0.32,
0.32, 0.00, 0.00, 0.32, 0.32, 0.00, 0.00, -0.24,
-0.20, 0.24, 0.20, 0.20, 0.00, -0.24, 0.00, 0.00,
-0.24, -0.20, 0.00, 0.00, 0.24, 0.20, -0.24, -0.20,
0.00, 0.00, -0.24, 0.20, 0.16, -0.20, 0.12, 0.10,
0.20, 0.20, 0.00, -0.10, -0.12, 0.10, -0.16, -0.20,
-0.12, -0.10, -0.16, 0.20, 0.20, 0.20, 0.00, 0.00,
-0.20, 0.20, -0.20, 0.20, -0.20, 0.20, -0.20, 0.20,
0.20, -0.20, -0.20, -0.20, 0.00, 0.00, -0.20, 0.20,
0.20, 0.00, -0.20, 0.00, 0.00, -0.20, 0.20, -0.20,
0.20, -0.20, -0.20, -0.20, -0.20, 0.00, 0.00, 0.20,
0.20, 0.20, 0.20, 0.12, -0.20, -0.12, -0.10, 0.28,
-0.28, 0.16, -0.20, 0.00, -0.10, 0.00, 0.10, -0.16,
/* 4308-4435 */
0.20, 0.00, -0.10, -0.16, -0.20, 0.00, -0.10, 0.16,
-0.20, 0.16, -0.20, 0.00, 0.00, 0.16, 0.20, -0.16,
0.20, 0.00, 0.00, 0.16, 0.20, 0.16, -0.20, 0.16,
-0.20, -0.16, 0.20, 0.16, -0.20, 0.00, 0.00, 0.16,
0.20, 0.00, 0.00, 0.16, 0.20, 0.00, 0.00, -0.16,
-0.20, 0.16, -0.20, -0.16, -0.20, 0.00, 0.00, -0.16,
-0.20, 0.00, 0.00, -0.16, 0.20, 0.00, 0.00, 0.16,
-0.20, 0.16, 0.20, 0.16, 0.20, 0.00, 0.00, -0.16,
-0.20, 0.00, 0.00, -0.16, -0.20, 0.00, 0.00, 0.16,
0.20, 0.16, 0.20, 0.00, 0.00, 0.16, 0.20, 0.16,
-0.20, 0.16, 0.20, 0.00, 0.00, -0.16, 0.20, 0.00,
0.10, 0.12, -0.20, 0.12, -0.20, 0.00, -0.10, 0.00,
-0.10, 0.12, 0.20, 0.00, -0.10, -0.12, 0.20, -0.15,
0.20, -0.24, 0.24, 0.00, 0.00, 0.24, 0.24, 0.12,
-0.20, -0.12, -0.20, 0.00, 0.00, 0.12, 0.20, 0.12,
-0.20, 0.12, 0.20, 0.12, 0.20, 0.12, 0.20, 0.12,
/* 4436-4563 */
-0.20, -0.12, 0.20, 0.00, 0.00, 0.12, 0.20, 0.12,
0.00, -0.20, 0.00, 0.00, -0.12, -0.20, 0.12, -0.20,
0.00, 0.00, 0.12, 0.20, -0.12, 0.20, -0.12, 0.20,
0.12, -0.20, 0.00, 0.00, 0.12, 0.20, 0.20, 0.00,
0.12, 0.00, 0.00, -0.12, 0.20, 0.00, 0.00, -0.12,
-0.20, 0.00, 0.00, -0.12, -0.20, -0.12, -0.20, 0.00,
0.00, 0.12, -0.20, 0.12, -0.20, 0.12, 0.20, -0.12,
-0.20, 0.00, 0.00, 0.12, -0.20, 0.12, -0.20, 0.12,
0.20, 0.12, 0.00, 0.20, -0.12, -0.20, 0.00, 0.00,
0.12, 0.20, -0.16, 0.00, 0.16, -0.20, 0.20, 0.00,
0.00, -0.20, 0.00, 0.00, -0.20, 0.20, 0.00, 0.00,
0.20, 0.20, -0.20, 0.00, 0.00, -0.20, 0.12, 0.00,
-0.16, 0.20, 0.00, 0.00, 0.20, 0.12, -0.10, 0.00,
0.10, 0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 0.00,
0.00, -0.16, 0.00, 0.00, -0.16, -0.16, -0.16, 0.00,
0.00, -0.16, 0.00, 0.00, 0.16, 0.00, 0.00, 0.16,
/* 4564-4691 */
0.00, 0.00, 0.16, 0.16, 0.00, 0.00, -0.16, 0.00,
0.00, -0.16, -0.16, 0.00, 0.00, 0.16, 0.00, 0.00,
-0.16, -0.16, 0.00, 0.00, -0.16, -0.16, 0.12, 0.10,
0.12, -0.10, 0.12, 0.10, 0.00, 0.00, 0.12, 0.10,
-0.12, 0.10, 0.00, 0.00, 0.12, 0.10, 0.12, -0.10,
0.00, 0.00, -0.12, -0.10, 0.00, 0.00, 0.12, 0.10,
0.12, 0.00, 0.00, 0.12, 0.00, 0.00, -0.12, 0.00,
0.00, 0.12, 0.12, 0.12, 0.12, 0.12, 0.00, 0.00,
0.12, 0.00, 0.00, 0.12, 0.12, 0.00, 0.00, 0.12,
0.00, 0.00, 0.12, -0.12, -0.12, 0.12, 0.12, -0.12,
-0.12, 0.00, 0.00, 0.12, -0.12, 0.12, 0.12, -0.12,
-0.12, 0.00, 0.00, -0.12, -0.12, 0.00, 0.00, -0.12,
0.12, 0.00, 0.00, 0.12, 0.00, 0.00, 0.12, 0.00,
0.00, 0.12, -0.12, 0.00, 0.00, -0.12, 0.12, -0.12,
-0.12, 0.12, 0.00, 0.00, 0.12, 0.12, 0.12, -0.12,
0.00, 0.00, -0.12, -0.12, -0.12, 0.00, 0.00, -0.12,
/* 4692-NA */
-0.12, 0.00, 0.00, 0.12, 0.12, 0.00, 0.00, -0.12,
-0.12, -0.12, -0.12, 0.12, 0.00, 0.00, 0.12, -0.12,
0.00, 0.00, -0.12, -0.12, 0.00, 0.00, 0.12, -0.12,
-0.12, -0.12, -0.12, 0.12, 0.12, -0.12, -0.12, 0.00,
0.00, -0.12, 0.00, 0.00, -0.12, 0.12, 0.00, 0.00,
0.12, 0.00, 0.00, -0.12, -0.12, 0.00, 0.00, -0.12,
-0.12, 0.12, 0.00, 0.00, 0.12, 0.12, 0.00, 0.00,
0.12, 0.00, 0.00, 0.12, 0.12, 0.08, 0.00, 0.04
};
/* Number of amplitude coefficients */
static const int NA = (int) (sizeof a / sizeof (double));
/* Amplitude usage: X or Y, sin or cos, power of T. */
static const int jaxy[] = {0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1};
static const int jasc[] = {0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0};
static const int japt[] = {0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4};
/* Miscellaneous */
double t, w, pt[MAXPT+1], fa[14], xypr[2], xypl[2], xyls[2], arg,
sc[2];
int jpt, i, j, jxy, ialast, ifreq, m, ia, jsc;
/*--------------------------------------------------------------------*/
/* Interval between fundamental date J2000.0 and given date (JC). */
t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC;
/* Powers of T. */
w = 1.0;
for (jpt = 0; jpt <= MAXPT; jpt++) {
pt[jpt] = w;
w *= t;
}
/* Initialize totals in X and Y: polynomial, luni-solar, planetary. */
for (jxy = 0; jxy < 2; jxy++) {
xypr[jxy] = 0.0;
xyls[jxy] = 0.0;
xypl[jxy] = 0.0;
}
/* --------------------------------- */
/* Fundamental arguments (IERS 2003) */
/* --------------------------------- */
/* Mean anomaly of the Moon. */
fa[0] = eraFal03(t);
/* Mean anomaly of the Sun. */
fa[1] = eraFalp03(t);
/* Mean argument of the latitude of the Moon. */
fa[2] = eraFaf03(t);
/* Mean elongation of the Moon from the Sun. */
fa[3] = eraFad03(t);
/* Mean longitude of the ascending node of the Moon. */
fa[4] = eraFaom03(t);
/* Planetary longitudes, Mercury through Neptune. */
fa[5] = eraFame03(t);
fa[6] = eraFave03(t);
fa[7] = eraFae03(t);
fa[8] = eraFama03(t);
fa[9] = eraFaju03(t);
fa[10] = eraFasa03(t);
fa[11] = eraFaur03(t);
fa[12] = eraFane03(t);
/* General accumulated precession in longitude. */
fa[13] = eraFapa03(t);
/* -------------------------------------- */
/* Polynomial part of precession-nutation */
/* -------------------------------------- */
for (jxy = 0; jxy < 2; jxy++) {
for (j = MAXPT; j >= 0; j--) {
xypr[jxy] += xyp[jxy][j] * pt[j];
}
}
/* ---------------------------------- */
/* Nutation periodic terms, planetary */
/* ---------------------------------- */
/* Work backwards through the coefficients per frequency list. */
ialast = NA;
for (ifreq = NFPL-1; ifreq >= 0; ifreq--) {
/* Obtain the argument functions. */
arg = 0.0;
for (i = 0; i < 14; i++) {
m = mfapl[ifreq][i];
if (m != 0) arg += (double)m * fa[i];
}
sc[0] = sin(arg);
sc[1] = cos(arg);
/* Work backwards through the amplitudes at this frequency. */
ia = nc[ifreq+NFLS];
for (i = ialast; i >= ia; i--) {
/* Coefficient number (0 = 1st). */
j = i-ia;
/* X or Y. */
jxy = jaxy[j];
/* Sin or cos. */
jsc = jasc[j];
/* Power of T. */
jpt = japt[j];
/* Accumulate the component. */
xypl[jxy] += a[i-1] * sc[jsc] * pt[jpt];
}
ialast = ia-1;
}
/* ----------------------------------- */
/* Nutation periodic terms, luni-solar */
/* ----------------------------------- */
/* Continue working backwards through the number of coefficients list. */
for (ifreq = NFLS-1; ifreq >= 0; ifreq--) {
/* Obtain the argument functions. */
arg = 0.0;
for (i = 0; i < 5; i++) {
m = mfals[ifreq][i];
if (m != 0) arg += (double)m * fa[i];
}
sc[0] = sin(arg);
sc[1] = cos(arg);
/* Work backwards through the amplitudes at this frequency. */
ia = nc[ifreq];
for (i = ialast; i >= ia; i--) {
/* Coefficient number (0 = 1st). */
j = i-ia;
/* X or Y. */
jxy = jaxy[j];
/* Sin or cos. */
jsc = jasc[j];
/* Power of T. */
jpt = japt[j];
/* Accumulate the component. */
xyls[jxy] += a[i-1] * sc[jsc] * pt[jpt];
}
ialast = ia-1;
}
/* ------------------------------------ */
/* Results: CIP unit vector components */
/* ------------------------------------ */
*x = ERFA_DAS2R * (xypr[0] + (xyls[0] + xypl[0]) / 1e6);
*y = ERFA_DAS2R * (xypr[1] + (xyls[1] + xypl[1]) / 1e6);
return;
}
/*----------------------------------------------------------------------
**
**
** Copyright (C) 2013-2016, NumFOCUS Foundation.
** All rights reserved.
**
** This library is derived, with permission, from the International
** Astronomical Union's "Standards of Fundamental Astronomy" library,
** available from http://www.iausofa.org.
**
** The ERFA version is intended to retain identical functionality to
** the SOFA library, but made distinct through different function and
** file names, as set out in the SOFA license conditions. The SOFA
** original has a role as a reference standard for the IAU and IERS,
** and consequently redistribution is permitted only in its unaltered
** state. The ERFA version is not subject to this restriction and
** therefore can be included in distributions which do not support the
** concept of "read only" software.
**
** Although the intent is to replicate the SOFA API (other than
** replacement of prefix names) and results (with the exception of
** bugs; any that are discovered will be fixed), SOFA is not
** responsible for any errors found in this version of the library.
**
** If you wish to acknowledge the SOFA heritage, please acknowledge
** that you are using a library derived from SOFA, rather than SOFA
** itself.
**
**
** TERMS AND CONDITIONS
**
** Redistribution and use in source and binary forms, with or without
** modification, are permitted provided that the following conditions
** are met:
**
** 1 Redistributions of source code must retain the above copyright
** notice, this list of conditions and the following disclaimer.
**
** 2 Redistributions in binary form must reproduce the above copyright
** notice, this list of conditions and the following disclaimer in
** the documentation and/or other materials provided with the
** distribution.
**
** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
** the International Astronomical Union nor the names of its
** contributors may be used to endorse or promote products derived
** from this software without specific prior written permission.
**
** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
** POSSIBILITY OF SUCH DAMAGE.
**
*/