File: nut00a.c

package info (click to toggle)
python-astropy 1.3-8~bpo8%2B2
links: PTS, VCS
area: main
in suites: jessie-backports
size: 44,292 kB
sloc: ansic: 160,360; python: 137,322; sh: 11,493; lex: 7,638; yacc: 4,956; xml: 1,796; makefile: 474; cpp: 364
file content (2056 lines) | stat: -rw-r--r-- 118,408 bytes
parent folder | download | duplicates (4)
#include "erfa.h"

void eraNut00a(double date1, double date2, double *dpsi, double *deps)
/*
**  - - - - - - - - - -
**   e r a N u t 0 0 a
**  - - - - - - - - - -
**
**  Nutation, IAU 2000A model (MHB2000 luni-solar and planetary nutation
**  with free core nutation omitted).
**
**  Given:
**     date1,date2   double   TT as a 2-part Julian Date (Note 1)
**
**  Returned:
**     dpsi,deps     double   nutation, luni-solar + planetary (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 nutation components in longitude and obliquity are in radians
**     and with respect to the equinox and ecliptic of date.  The
**     obliquity at J2000.0 is assumed to be the Lieske et al. (1977)
**     value of 84381.448 arcsec.
**
**     Both the luni-solar and planetary nutations are included.  The
**     latter are due to direct planetary nutations and the
**     perturbations of the lunar and terrestrial orbits.
**
**  3) The function computes the MHB2000 nutation series with the
**     associated corrections for planetary nutations.  It is an
**     implementation of the nutation part of the IAU 2000A precession-
**     nutation model, formally adopted by the IAU General Assembly in
**     2000, namely MHB2000 (Mathews et al. 2002), but with the free
**     core nutation (FCN - see Note 4) omitted.
**
**  4) The full MHB2000 model also contains contributions to the
**     nutations in longitude and obliquity due to the free-excitation
**     of the free-core-nutation during the period 1979-2000.  These FCN
**     terms, which are time-dependent and unpredictable, are NOT
**     included in the present function and, if required, must be
**     independently computed.  With the FCN corrections included, the
**     present function delivers a pole which is at current epochs
**     accurate to a few hundred microarcseconds.  The omission of FCN
**     introduces further errors of about that size.
**
**  5) The present function provides classical nutation.  The MHB2000
**     algorithm, from which it is adapted, deals also with (i) the
**     offsets between the GCRS and mean poles and (ii) the adjustments
**     in longitude and obliquity due to the changed precession rates.
**     These additional functions, namely frame bias and precession
**     adjustments, are supported by the ERFA functions eraBi00  and
**     eraPr00.
**
**  6) The MHB2000 algorithm also provides "total" nutations, comprising
**     the arithmetic sum of the frame bias, precession adjustments,
**     luni-solar nutation and planetary nutation.  These total
**     nutations can be used in combination with an existing IAU 1976
**     precession implementation, such as eraPmat76,  to deliver GCRS-
**     to-true predictions of sub-mas accuracy at current dates.
**     However, there are three shortcomings in the MHB2000 model that
**     must be taken into account if more accurate or definitive results
**     are required (see Wallace 2002):
**
**       (i) The MHB2000 total nutations are simply arithmetic sums,
**           yet in reality the various components are successive Euler
**           rotations.  This slight lack of rigor leads to cross terms
**           that exceed 1 mas after a century.  The rigorous procedure
**           is to form the GCRS-to-true rotation matrix by applying the
**           bias, precession and nutation in that order.
**
**      (ii) Although the precession adjustments are stated to be with
**           respect to Lieske et al. (1977), the MHB2000 model does
**           not specify which set of Euler angles are to be used and
**           how the adjustments are to be applied.  The most literal
**           and straightforward procedure is to adopt the 4-rotation
**           epsilon_0, psi_A, omega_A, xi_A option, and to add DPSIPR
**           to psi_A and DEPSPR to both omega_A and eps_A.
**
**     (iii) The MHB2000 model predates the determination by Chapront
**           et al. (2002) of a 14.6 mas displacement between the
**           J2000.0 mean equinox and the origin of the ICRS frame.  It
**           should, however, be noted that neglecting this displacement
**           when calculating star coordinates does not lead to a
**           14.6 mas change in right ascension, only a small second-
**           order distortion in the pattern of the precession-nutation
**           effect.
**
**     For these reasons, the ERFA functions do not generate the "total
**     nutations" directly, though they can of course easily be
**     generated by calling eraBi00, eraPr00 and the present function
**     and adding the results.
**
**  7) The MHB2000 model contains 41 instances where the same frequency
**     appears multiple times, of which 38 are duplicates and three are
**     triplicates.  To keep the present code close to the original MHB
**     algorithm, this small inefficiency has not been corrected.
**
**  Called:
**     eraFal03     mean anomaly of the Moon
**     eraFaf03     mean argument of the latitude of the Moon
**     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
**     eraFapa03    general accumulated precession in longitude
**
**  References:
**
**     Chapront, J., Chapront-Touze, M. & Francou, G. 2002,
**     Astron.Astrophys. 387, 700
**
**     Lieske, J.H., Lederle, T., Fricke, W. & Morando, B. 1977,
**     Astron.Astrophys. 58, 1-16
**
**     Mathews, P.M., Herring, T.A., Buffet, B.A. 2002, J.Geophys.Res.
**     107, B4.  The MHB_2000 code itself was obtained on 9th September
**     2002 from ftp//maia.usno.navy.mil/conv2000/chapter5/IAU2000A.
**
**     Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
**     Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
**
**     Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999,
**     Astron.Astrophys.Supp.Ser. 135, 111
**
**     Wallace, P.T., "Software for Implementing the IAU 2000
**     Resolutions", in IERS Workshop 5.1 (2002)
**
**  Copyright (C) 2013-2016, NumFOCUS Foundation.
**  Derived, with permission, from the SOFA library.  See notes at end of file.
*/
{
   int i;
   double t, el, elp, f, d, om, arg, dp, de, sarg, carg,
          al, af, ad, aom, alme, alve, alea, alma,
          alju, alsa, alur, alne, apa, dpsils, depsls,
          dpsipl, depspl;

/* Units of 0.1 microarcsecond to radians */
   const double U2R = ERFA_DAS2R / 1e7;

/* ------------------------- */
/* Luni-Solar nutation model */
/* ------------------------- */

/* The units for the sine and cosine coefficients are */
/* 0.1 microarcsecond and the same per Julian century */

   static const struct {
      int nl,nlp,nf,nd,nom; /* coefficients of l,l',F,D,Om */
      double sp,spt,cp;     /* longitude sin, t*sin, cos coefficients */
      double ce,cet,se;     /* obliquity cos, t*cos, sin coefficients */
   } xls[] = {

   /* 1- 10 */
      { 0, 0, 0, 0, 1,
         -172064161.0, -174666.0, 33386.0, 92052331.0, 9086.0, 15377.0},
      { 0, 0, 2,-2, 2,
           -13170906.0, -1675.0, -13696.0, 5730336.0, -3015.0, -4587.0},
      { 0, 0, 2, 0, 2,-2276413.0,-234.0,2796.0,978459.0,-485.0, 1374.0},
      { 0, 0, 0, 0, 2,2074554.0, 207.0, -698.0,-897492.0,470.0, -291.0},
      { 0, 1, 0, 0, 0,1475877.0,-3633.0,11817.0,73871.0,-184.0,-1924.0},
      { 0, 1, 2,-2, 2,-516821.0,1226.0, -524.0,224386.0,-677.0, -174.0},
      { 1, 0, 0, 0, 0, 711159.0,  73.0, -872.0,  -6750.0,  0.0,  358.0},
      { 0, 0, 2, 0, 1,-387298.0,-367.0,  380.0, 200728.0, 18.0,  318.0},
      { 1, 0, 2, 0, 2,-301461.0, -36.0,  816.0, 129025.0,-63.0,  367.0},
      { 0,-1, 2,-2, 2, 215829.0,-494.0,  111.0, -95929.0,299.0,  132.0},

   /* 11-20 */
      { 0, 0, 2,-2, 1, 128227.0, 137.0,  181.0, -68982.0, -9.0,   39.0},
      {-1, 0, 2, 0, 2, 123457.0,  11.0,   19.0, -53311.0, 32.0,   -4.0},
      {-1, 0, 0, 2, 0, 156994.0,  10.0, -168.0,  -1235.0,  0.0,   82.0},
      { 1, 0, 0, 0, 1,  63110.0,  63.0,   27.0, -33228.0,  0.0,   -9.0},
      {-1, 0, 0, 0, 1, -57976.0, -63.0, -189.0,  31429.0,  0.0,  -75.0},
      {-1, 0, 2, 2, 2, -59641.0, -11.0,  149.0,  25543.0,-11.0,   66.0},
      { 1, 0, 2, 0, 1, -51613.0, -42.0,  129.0,  26366.0,  0.0,   78.0},
      {-2, 0, 2, 0, 1,  45893.0,  50.0,   31.0, -24236.0,-10.0,   20.0},
      { 0, 0, 0, 2, 0,  63384.0,  11.0, -150.0,  -1220.0,  0.0,   29.0},
      { 0, 0, 2, 2, 2, -38571.0,  -1.0,  158.0,  16452.0,-11.0,   68.0},

   /* 21-30 */
      { 0,-2, 2,-2, 2,  32481.0,   0.0,    0.0, -13870.0,  0.0,    0.0},
      {-2, 0, 0, 2, 0, -47722.0,   0.0,  -18.0,    477.0,  0.0,  -25.0},
      { 2, 0, 2, 0, 2, -31046.0,  -1.0,  131.0,  13238.0,-11.0,   59.0},
      { 1, 0, 2,-2, 2,  28593.0,   0.0,   -1.0, -12338.0, 10.0,   -3.0},
      {-1, 0, 2, 0, 1,  20441.0,  21.0,   10.0, -10758.0,  0.0,   -3.0},
      { 2, 0, 0, 0, 0,  29243.0,   0.0,  -74.0,   -609.0,  0.0,   13.0},
      { 0, 0, 2, 0, 0,  25887.0,   0.0,  -66.0,   -550.0,  0.0,   11.0},
      { 0, 1, 0, 0, 1, -14053.0, -25.0,   79.0,   8551.0, -2.0,  -45.0},
      {-1, 0, 0, 2, 1,  15164.0,  10.0,   11.0,  -8001.0,  0.0,   -1.0},
      { 0, 2, 2,-2, 2, -15794.0,  72.0,  -16.0,   6850.0,-42.0,   -5.0},

   /* 31-40 */
      { 0, 0,-2, 2, 0,  21783.0,   0.0,   13.0,   -167.0,  0.0,   13.0},
      { 1, 0, 0,-2, 1, -12873.0, -10.0,  -37.0,   6953.0,  0.0,  -14.0},
      { 0,-1, 0, 0, 1, -12654.0,  11.0,   63.0,   6415.0,  0.0,   26.0},
      {-1, 0, 2, 2, 1, -10204.0,   0.0,   25.0,   5222.0,  0.0,   15.0},
      { 0, 2, 0, 0, 0,  16707.0, -85.0,  -10.0,    168.0, -1.0,   10.0},
      { 1, 0, 2, 2, 2,  -7691.0,   0.0,   44.0,   3268.0,  0.0,   19.0},
      {-2, 0, 2, 0, 0, -11024.0,   0.0,  -14.0,    104.0,  0.0,    2.0},
      { 0, 1, 2, 0, 2,   7566.0, -21.0,  -11.0,  -3250.0,  0.0,   -5.0},
      { 0, 0, 2, 2, 1,  -6637.0, -11.0,   25.0,   3353.0,  0.0,   14.0},
      { 0,-1, 2, 0, 2,  -7141.0,  21.0,    8.0,   3070.0,  0.0,    4.0},

   /* 41-50 */
      { 0, 0, 0, 2, 1,  -6302.0, -11.0,    2.0,   3272.0,  0.0,    4.0},
      { 1, 0, 2,-2, 1,   5800.0,  10.0,    2.0,  -3045.0,  0.0,   -1.0},
      { 2, 0, 2,-2, 2,   6443.0,   0.0,   -7.0,  -2768.0,  0.0,   -4.0},
      {-2, 0, 0, 2, 1,  -5774.0, -11.0,  -15.0,   3041.0,  0.0,   -5.0},
      { 2, 0, 2, 0, 1,  -5350.0,   0.0,   21.0,   2695.0,  0.0,   12.0},
      { 0,-1, 2,-2, 1,  -4752.0, -11.0,   -3.0,   2719.0,  0.0,   -3.0},
      { 0, 0, 0,-2, 1,  -4940.0, -11.0,  -21.0,   2720.0,  0.0,   -9.0},
      {-1,-1, 0, 2, 0,   7350.0,   0.0,   -8.0,    -51.0,  0.0,    4.0},
      { 2, 0, 0,-2, 1,   4065.0,   0.0,    6.0,  -2206.0,  0.0,    1.0},
      { 1, 0, 0, 2, 0,   6579.0,   0.0,  -24.0,   -199.0,  0.0,    2.0},

   /* 51-60 */
      { 0, 1, 2,-2, 1,   3579.0,   0.0,    5.0,  -1900.0,  0.0,    1.0},
      { 1,-1, 0, 0, 0,   4725.0,   0.0,   -6.0,    -41.0,  0.0,    3.0},
      {-2, 0, 2, 0, 2,  -3075.0,   0.0,   -2.0,   1313.0,  0.0,   -1.0},
      { 3, 0, 2, 0, 2,  -2904.0,   0.0,   15.0,   1233.0,  0.0,    7.0},
      { 0,-1, 0, 2, 0,   4348.0,   0.0,  -10.0,    -81.0,  0.0,    2.0},
      { 1,-1, 2, 0, 2,  -2878.0,   0.0,    8.0,   1232.0,  0.0,    4.0},
      { 0, 0, 0, 1, 0,  -4230.0,   0.0,    5.0,    -20.0,  0.0,   -2.0},
      {-1,-1, 2, 2, 2,  -2819.0,   0.0,    7.0,   1207.0,  0.0,    3.0},
      {-1, 0, 2, 0, 0,  -4056.0,   0.0,    5.0,     40.0,  0.0,   -2.0},
      { 0,-1, 2, 2, 2,  -2647.0,   0.0,   11.0,   1129.0,  0.0,    5.0},

   /* 61-70 */
      {-2, 0, 0, 0, 1,  -2294.0,   0.0,  -10.0,   1266.0,  0.0,   -4.0},
      { 1, 1, 2, 0, 2,   2481.0,   0.0,   -7.0,  -1062.0,  0.0,   -3.0},
      { 2, 0, 0, 0, 1,   2179.0,   0.0,   -2.0,  -1129.0,  0.0,   -2.0},
      {-1, 1, 0, 1, 0,   3276.0,   0.0,    1.0,     -9.0,  0.0,    0.0},
      { 1, 1, 0, 0, 0,  -3389.0,   0.0,    5.0,     35.0,  0.0,   -2.0},
      { 1, 0, 2, 0, 0,   3339.0,   0.0,  -13.0,   -107.0,  0.0,    1.0},
      {-1, 0, 2,-2, 1,  -1987.0,   0.0,   -6.0,   1073.0,  0.0,   -2.0},
      { 1, 0, 0, 0, 2,  -1981.0,   0.0,    0.0,    854.0,  0.0,    0.0},
      {-1, 0, 0, 1, 0,   4026.0,   0.0, -353.0,   -553.0,  0.0, -139.0},
      { 0, 0, 2, 1, 2,   1660.0,   0.0,   -5.0,   -710.0,  0.0,   -2.0},

   /* 71-80 */
      {-1, 0, 2, 4, 2,  -1521.0,   0.0,    9.0,    647.0,  0.0,    4.0},
      {-1, 1, 0, 1, 1,   1314.0,   0.0,    0.0,   -700.0,  0.0,    0.0},
      { 0,-2, 2,-2, 1,  -1283.0,   0.0,    0.0,    672.0,  0.0,    0.0},
      { 1, 0, 2, 2, 1,  -1331.0,   0.0,    8.0,    663.0,  0.0,    4.0},
      {-2, 0, 2, 2, 2,   1383.0,   0.0,   -2.0,   -594.0,  0.0,   -2.0},
      {-1, 0, 0, 0, 2,   1405.0,   0.0,    4.0,   -610.0,  0.0,    2.0},
      { 1, 1, 2,-2, 2,   1290.0,   0.0,    0.0,   -556.0,  0.0,    0.0},
      {-2, 0, 2, 4, 2,  -1214.0,   0.0,    5.0,    518.0,  0.0,    2.0},
      {-1, 0, 4, 0, 2,   1146.0,   0.0,   -3.0,   -490.0,  0.0,   -1.0},
      { 2, 0, 2,-2, 1,   1019.0,   0.0,   -1.0,   -527.0,  0.0,   -1.0},

   /* 81-90 */
      { 2, 0, 2, 2, 2,  -1100.0,   0.0,    9.0,    465.0,  0.0,    4.0},
      { 1, 0, 0, 2, 1,   -970.0,   0.0,    2.0,    496.0,  0.0,    1.0},
      { 3, 0, 0, 0, 0,   1575.0,   0.0,   -6.0,    -50.0,  0.0,    0.0},
      { 3, 0, 2,-2, 2,    934.0,   0.0,   -3.0,   -399.0,  0.0,   -1.0},
      { 0, 0, 4,-2, 2,    922.0,   0.0,   -1.0,   -395.0,  0.0,   -1.0},
      { 0, 1, 2, 0, 1,    815.0,   0.0,   -1.0,   -422.0,  0.0,   -1.0},
      { 0, 0,-2, 2, 1,    834.0,   0.0,    2.0,   -440.0,  0.0,    1.0},
      { 0, 0, 2,-2, 3,   1248.0,   0.0,    0.0,   -170.0,  0.0,    1.0},
      {-1, 0, 0, 4, 0,   1338.0,   0.0,   -5.0,    -39.0,  0.0,    0.0},
      { 2, 0,-2, 0, 1,    716.0,   0.0,   -2.0,   -389.0,  0.0,   -1.0},

   /* 91-100 */
      {-2, 0, 0, 4, 0,   1282.0,   0.0,   -3.0,    -23.0,  0.0,    1.0},
      {-1,-1, 0, 2, 1,    742.0,   0.0,    1.0,   -391.0,  0.0,    0.0},
      {-1, 0, 0, 1, 1,   1020.0,   0.0,  -25.0,   -495.0,  0.0,  -10.0},
      { 0, 1, 0, 0, 2,    715.0,   0.0,   -4.0,   -326.0,  0.0,    2.0},
      { 0, 0,-2, 0, 1,   -666.0,   0.0,   -3.0,    369.0,  0.0,   -1.0},
      { 0,-1, 2, 0, 1,   -667.0,   0.0,    1.0,    346.0,  0.0,    1.0},
      { 0, 0, 2,-1, 2,   -704.0,   0.0,    0.0,    304.0,  0.0,    0.0},
      { 0, 0, 2, 4, 2,   -694.0,   0.0,    5.0,    294.0,  0.0,    2.0},
      {-2,-1, 0, 2, 0,  -1014.0,   0.0,   -1.0,      4.0,  0.0,   -1.0},
      { 1, 1, 0,-2, 1,   -585.0,   0.0,   -2.0,    316.0,  0.0,   -1.0},

   /* 101-110 */
      {-1, 1, 0, 2, 0,   -949.0,   0.0,    1.0,      8.0,  0.0,   -1.0},
      {-1, 1, 0, 1, 2,   -595.0,   0.0,    0.0,    258.0,  0.0,    0.0},
      { 1,-1, 0, 0, 1,    528.0,   0.0,    0.0,   -279.0,  0.0,    0.0},
      { 1,-1, 2, 2, 2,   -590.0,   0.0,    4.0,    252.0,  0.0,    2.0},
      {-1, 1, 2, 2, 2,    570.0,   0.0,   -2.0,   -244.0,  0.0,   -1.0},
      { 3, 0, 2, 0, 1,   -502.0,   0.0,    3.0,    250.0,  0.0,    2.0},
      { 0, 1,-2, 2, 0,   -875.0,   0.0,    1.0,     29.0,  0.0,    0.0},
      {-1, 0, 0,-2, 1,   -492.0,   0.0,   -3.0,    275.0,  0.0,   -1.0},
      { 0, 1, 2, 2, 2,    535.0,   0.0,   -2.0,   -228.0,  0.0,   -1.0},
      {-1,-1, 2, 2, 1,   -467.0,   0.0,    1.0,    240.0,  0.0,    1.0},

   /* 111-120 */
      { 0,-1, 0, 0, 2,    591.0,   0.0,    0.0,   -253.0,  0.0,    0.0},
      { 1, 0, 2,-4, 1,   -453.0,   0.0,   -1.0,    244.0,  0.0,   -1.0},
      {-1, 0,-2, 2, 0,    766.0,   0.0,    1.0,      9.0,  0.0,    0.0},
      { 0,-1, 2, 2, 1,   -446.0,   0.0,    2.0,    225.0,  0.0,    1.0},
      { 2,-1, 2, 0, 2,   -488.0,   0.0,    2.0,    207.0,  0.0,    1.0},
      { 0, 0, 0, 2, 2,   -468.0,   0.0,    0.0,    201.0,  0.0,    0.0},
      { 1,-1, 2, 0, 1,   -421.0,   0.0,    1.0,    216.0,  0.0,    1.0},
      {-1, 1, 2, 0, 2,    463.0,   0.0,    0.0,   -200.0,  0.0,    0.0},
      { 0, 1, 0, 2, 0,   -673.0,   0.0,    2.0,     14.0,  0.0,    0.0},
      { 0,-1,-2, 2, 0,    658.0,   0.0,    0.0,     -2.0,  0.0,    0.0},

   /* 121-130 */
      { 0, 3, 2,-2, 2,   -438.0,   0.0,    0.0,    188.0,  0.0,    0.0},
      { 0, 0, 0, 1, 1,   -390.0,   0.0,    0.0,    205.0,  0.0,    0.0},
      {-1, 0, 2, 2, 0,    639.0, -11.0,   -2.0,    -19.0,  0.0,    0.0},
      { 2, 1, 2, 0, 2,    412.0,   0.0,   -2.0,   -176.0,  0.0,   -1.0},
      { 1, 1, 0, 0, 1,   -361.0,   0.0,    0.0,    189.0,  0.0,    0.0},
      { 1, 1, 2, 0, 1,    360.0,   0.0,   -1.0,   -185.0,  0.0,   -1.0},
      { 2, 0, 0, 2, 0,    588.0,   0.0,   -3.0,    -24.0,  0.0,    0.0},
      { 1, 0,-2, 2, 0,   -578.0,   0.0,    1.0,      5.0,  0.0,    0.0},
      {-1, 0, 0, 2, 2,   -396.0,   0.0,    0.0,    171.0,  0.0,    0.0},
      { 0, 1, 0, 1, 0,    565.0,   0.0,   -1.0,     -6.0,  0.0,    0.0},

   /* 131-140 */
      { 0, 1, 0,-2, 1,   -335.0,   0.0,   -1.0,    184.0,  0.0,   -1.0},
      {-1, 0, 2,-2, 2,    357.0,   0.0,    1.0,   -154.0,  0.0,    0.0},
      { 0, 0, 0,-1, 1,    321.0,   0.0,    1.0,   -174.0,  0.0,    0.0},
      {-1, 1, 0, 0, 1,   -301.0,   0.0,   -1.0,    162.0,  0.0,    0.0},
      { 1, 0, 2,-1, 2,   -334.0,   0.0,    0.0,    144.0,  0.0,    0.0},
      { 1,-1, 0, 2, 0,    493.0,   0.0,   -2.0,    -15.0,  0.0,    0.0},
      { 0, 0, 0, 4, 0,    494.0,   0.0,   -2.0,    -19.0,  0.0,    0.0},
      { 1, 0, 2, 1, 2,    337.0,   0.0,   -1.0,   -143.0,  0.0,   -1.0},
      { 0, 0, 2, 1, 1,    280.0,   0.0,   -1.0,   -144.0,  0.0,    0.0},
      { 1, 0, 0,-2, 2,    309.0,   0.0,    1.0,   -134.0,  0.0,    0.0},

   /* 141-150 */
      {-1, 0, 2, 4, 1,   -263.0,   0.0,    2.0,    131.0,  0.0,    1.0},
      { 1, 0,-2, 0, 1,    253.0,   0.0,    1.0,   -138.0,  0.0,    0.0},
      { 1, 1, 2,-2, 1,    245.0,   0.0,    0.0,   -128.0,  0.0,    0.0},
      { 0, 0, 2, 2, 0,    416.0,   0.0,   -2.0,    -17.0,  0.0,    0.0},
      {-1, 0, 2,-1, 1,   -229.0,   0.0,    0.0,    128.0,  0.0,    0.0},
      {-2, 0, 2, 2, 1,    231.0,   0.0,    0.0,   -120.0,  0.0,    0.0},
      { 4, 0, 2, 0, 2,   -259.0,   0.0,    2.0,    109.0,  0.0,    1.0},
      { 2,-1, 0, 0, 0,    375.0,   0.0,   -1.0,     -8.0,  0.0,    0.0},
      { 2, 1, 2,-2, 2,    252.0,   0.0,    0.0,   -108.0,  0.0,    0.0},
      { 0, 1, 2, 1, 2,   -245.0,   0.0,    1.0,    104.0,  0.0,    0.0},

   /* 151-160 */
      { 1, 0, 4,-2, 2,    243.0,   0.0,   -1.0,   -104.0,  0.0,    0.0},
      {-1,-1, 0, 0, 1,    208.0,   0.0,    1.0,   -112.0,  0.0,    0.0},
      { 0, 1, 0, 2, 1,    199.0,   0.0,    0.0,   -102.0,  0.0,    0.0},
      {-2, 0, 2, 4, 1,   -208.0,   0.0,    1.0,    105.0,  0.0,    0.0},
      { 2, 0, 2, 0, 0,    335.0,   0.0,   -2.0,    -14.0,  0.0,    0.0},
      { 1, 0, 0, 1, 0,   -325.0,   0.0,    1.0,      7.0,  0.0,    0.0},
      {-1, 0, 0, 4, 1,   -187.0,   0.0,    0.0,     96.0,  0.0,    0.0},
      {-1, 0, 4, 0, 1,    197.0,   0.0,   -1.0,   -100.0,  0.0,    0.0},
      { 2, 0, 2, 2, 1,   -192.0,   0.0,    2.0,     94.0,  0.0,    1.0},
      { 0, 0, 2,-3, 2,   -188.0,   0.0,    0.0,     83.0,  0.0,    0.0},

   /* 161-170 */
      {-1,-2, 0, 2, 0,    276.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      { 2, 1, 0, 0, 0,   -286.0,   0.0,    1.0,      6.0,  0.0,    0.0},
      { 0, 0, 4, 0, 2,    186.0,   0.0,   -1.0,    -79.0,  0.0,    0.0},
      { 0, 0, 0, 0, 3,   -219.0,   0.0,    0.0,     43.0,  0.0,    0.0},
      { 0, 3, 0, 0, 0,    276.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      { 0, 0, 2,-4, 1,   -153.0,   0.0,   -1.0,     84.0,  0.0,    0.0},
      { 0,-1, 0, 2, 1,   -156.0,   0.0,    0.0,     81.0,  0.0,    0.0},
      { 0, 0, 0, 4, 1,   -154.0,   0.0,    1.0,     78.0,  0.0,    0.0},
      {-1,-1, 2, 4, 2,   -174.0,   0.0,    1.0,     75.0,  0.0,    0.0},
      { 1, 0, 2, 4, 2,   -163.0,   0.0,    2.0,     69.0,  0.0,    1.0},

   /* 171-180 */
      {-2, 2, 0, 2, 0,   -228.0,   0.0,    0.0,      1.0,  0.0,    0.0},
      {-2,-1, 2, 0, 1,     91.0,   0.0,   -4.0,    -54.0,  0.0,   -2.0},
      {-2, 0, 0, 2, 2,    175.0,   0.0,    0.0,    -75.0,  0.0,    0.0},
      {-1,-1, 2, 0, 2,   -159.0,   0.0,    0.0,     69.0,  0.0,    0.0},
      { 0, 0, 4,-2, 1,    141.0,   0.0,    0.0,    -72.0,  0.0,    0.0},
      { 3, 0, 2,-2, 1,    147.0,   0.0,    0.0,    -75.0,  0.0,    0.0},
      {-2,-1, 0, 2, 1,   -132.0,   0.0,    0.0,     69.0,  0.0,    0.0},
      { 1, 0, 0,-1, 1,    159.0,   0.0,  -28.0,    -54.0,  0.0,   11.0},
      { 0,-2, 0, 2, 0,    213.0,   0.0,    0.0,     -4.0,  0.0,    0.0},
      {-2, 0, 0, 4, 1,    123.0,   0.0,    0.0,    -64.0,  0.0,    0.0},

   /* 181-190 */
      {-3, 0, 0, 0, 1,   -118.0,   0.0,   -1.0,     66.0,  0.0,    0.0},
      { 1, 1, 2, 2, 2,    144.0,   0.0,   -1.0,    -61.0,  0.0,    0.0},
      { 0, 0, 2, 4, 1,   -121.0,   0.0,    1.0,     60.0,  0.0,    0.0},
      { 3, 0, 2, 2, 2,   -134.0,   0.0,    1.0,     56.0,  0.0,    1.0},
      {-1, 1, 2,-2, 1,   -105.0,   0.0,    0.0,     57.0,  0.0,    0.0},
      { 2, 0, 0,-4, 1,   -102.0,   0.0,    0.0,     56.0,  0.0,    0.0},
      { 0, 0, 0,-2, 2,    120.0,   0.0,    0.0,    -52.0,  0.0,    0.0},
      { 2, 0, 2,-4, 1,    101.0,   0.0,    0.0,    -54.0,  0.0,    0.0},
      {-1, 1, 0, 2, 1,   -113.0,   0.0,    0.0,     59.0,  0.0,    0.0},
      { 0, 0, 2,-1, 1,   -106.0,   0.0,    0.0,     61.0,  0.0,    0.0},

   /* 191-200 */
      { 0,-2, 2, 2, 2,   -129.0,   0.0,    1.0,     55.0,  0.0,    0.0},
      { 2, 0, 0, 2, 1,   -114.0,   0.0,    0.0,     57.0,  0.0,    0.0},
      { 4, 0, 2,-2, 2,    113.0,   0.0,   -1.0,    -49.0,  0.0,    0.0},
      { 2, 0, 0,-2, 2,   -102.0,   0.0,    0.0,     44.0,  0.0,    0.0},
      { 0, 2, 0, 0, 1,    -94.0,   0.0,    0.0,     51.0,  0.0,    0.0},
      { 1, 0, 0,-4, 1,   -100.0,   0.0,   -1.0,     56.0,  0.0,    0.0},
      { 0, 2, 2,-2, 1,     87.0,   0.0,    0.0,    -47.0,  0.0,    0.0},
      {-3, 0, 0, 4, 0,    161.0,   0.0,    0.0,     -1.0,  0.0,    0.0},
      {-1, 1, 2, 0, 1,     96.0,   0.0,    0.0,    -50.0,  0.0,    0.0},
      {-1,-1, 0, 4, 0,    151.0,   0.0,   -1.0,     -5.0,  0.0,    0.0},

   /* 201-210 */
      {-1,-2, 2, 2, 2,   -104.0,   0.0,    0.0,     44.0,  0.0,    0.0},
      {-2,-1, 2, 4, 2,   -110.0,   0.0,    0.0,     48.0,  0.0,    0.0},
      { 1,-1, 2, 2, 1,   -100.0,   0.0,    1.0,     50.0,  0.0,    0.0},
      {-2, 1, 0, 2, 0,     92.0,   0.0,   -5.0,     12.0,  0.0,   -2.0},
      {-2, 1, 2, 0, 1,     82.0,   0.0,    0.0,    -45.0,  0.0,    0.0},
      { 2, 1, 0,-2, 1,     82.0,   0.0,    0.0,    -45.0,  0.0,    0.0},
      {-3, 0, 2, 0, 1,    -78.0,   0.0,    0.0,     41.0,  0.0,    0.0},
      {-2, 0, 2,-2, 1,    -77.0,   0.0,    0.0,     43.0,  0.0,    0.0},
      {-1, 1, 0, 2, 2,      2.0,   0.0,    0.0,     54.0,  0.0,    0.0},
      { 0,-1, 2,-1, 2,     94.0,   0.0,    0.0,    -40.0,  0.0,    0.0},

   /* 211-220 */
      {-1, 0, 4,-2, 2,    -93.0,   0.0,    0.0,     40.0,  0.0,    0.0},
      { 0,-2, 2, 0, 2,    -83.0,   0.0,   10.0,     40.0,  0.0,   -2.0},
      {-1, 0, 2, 1, 2,     83.0,   0.0,    0.0,    -36.0,  0.0,    0.0},
      { 2, 0, 0, 0, 2,    -91.0,   0.0,    0.0,     39.0,  0.0,    0.0},
      { 0, 0, 2, 0, 3,    128.0,   0.0,    0.0,     -1.0,  0.0,    0.0},
      {-2, 0, 4, 0, 2,    -79.0,   0.0,    0.0,     34.0,  0.0,    0.0},
      {-1, 0,-2, 0, 1,    -83.0,   0.0,    0.0,     47.0,  0.0,    0.0},
      {-1, 1, 2, 2, 1,     84.0,   0.0,    0.0,    -44.0,  0.0,    0.0},
      { 3, 0, 0, 0, 1,     83.0,   0.0,    0.0,    -43.0,  0.0,    0.0},
      {-1, 0, 2, 3, 2,     91.0,   0.0,    0.0,    -39.0,  0.0,    0.0},

   /* 221-230 */
      { 2,-1, 2, 0, 1,    -77.0,   0.0,    0.0,     39.0,  0.0,    0.0},
      { 0, 1, 2, 2, 1,     84.0,   0.0,    0.0,    -43.0,  0.0,    0.0},
      { 0,-1, 2, 4, 2,    -92.0,   0.0,    1.0,     39.0,  0.0,    0.0},
      { 2,-1, 2, 2, 2,    -92.0,   0.0,    1.0,     39.0,  0.0,    0.0},
      { 0, 2,-2, 2, 0,    -94.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-1,-1, 2,-1, 1,     68.0,   0.0,    0.0,    -36.0,  0.0,    0.0},
      { 0,-2, 0, 0, 1,    -61.0,   0.0,    0.0,     32.0,  0.0,    0.0},
      { 1, 0, 2,-4, 2,     71.0,   0.0,    0.0,    -31.0,  0.0,    0.0},
      { 1,-1, 0,-2, 1,     62.0,   0.0,    0.0,    -34.0,  0.0,    0.0},
      {-1,-1, 2, 0, 1,    -63.0,   0.0,    0.0,     33.0,  0.0,    0.0},

   /* 231-240 */
      { 1,-1, 2,-2, 2,    -73.0,   0.0,    0.0,     32.0,  0.0,    0.0},
      {-2,-1, 0, 4, 0,    115.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      {-1, 0, 0, 3, 0,   -103.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      {-2,-1, 2, 2, 2,     63.0,   0.0,    0.0,    -28.0,  0.0,    0.0},
      { 0, 2, 2, 0, 2,     74.0,   0.0,    0.0,    -32.0,  0.0,    0.0},
      { 1, 1, 0, 2, 0,   -103.0,   0.0,   -3.0,      3.0,  0.0,   -1.0},
      { 2, 0, 2,-1, 2,    -69.0,   0.0,    0.0,     30.0,  0.0,    0.0},
      { 1, 0, 2, 1, 1,     57.0,   0.0,    0.0,    -29.0,  0.0,    0.0},
      { 4, 0, 0, 0, 0,     94.0,   0.0,    0.0,     -4.0,  0.0,    0.0},
      { 2, 1, 2, 0, 1,     64.0,   0.0,    0.0,    -33.0,  0.0,    0.0},

   /* 241-250 */
      { 3,-1, 2, 0, 2,    -63.0,   0.0,    0.0,     26.0,  0.0,    0.0},
      {-2, 2, 0, 2, 1,    -38.0,   0.0,    0.0,     20.0,  0.0,    0.0},
      { 1, 0, 2,-3, 1,    -43.0,   0.0,    0.0,     24.0,  0.0,    0.0},
      { 1, 1, 2,-4, 1,    -45.0,   0.0,    0.0,     23.0,  0.0,    0.0},
      {-1,-1, 2,-2, 1,     47.0,   0.0,    0.0,    -24.0,  0.0,    0.0},
      { 0,-1, 0,-1, 1,    -48.0,   0.0,    0.0,     25.0,  0.0,    0.0},
      { 0,-1, 0,-2, 1,     45.0,   0.0,    0.0,    -26.0,  0.0,    0.0},
      {-2, 0, 0, 0, 2,     56.0,   0.0,    0.0,    -25.0,  0.0,    0.0},
      {-2, 0,-2, 2, 0,     88.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      {-1, 0,-2, 4, 0,    -75.0,   0.0,    0.0,      0.0,  0.0,    0.0},

   /* 251-260 */
      { 1,-2, 0, 0, 0,     85.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 0, 1, 0, 1, 1,     49.0,   0.0,    0.0,    -26.0,  0.0,    0.0},
      {-1, 2, 0, 2, 0,    -74.0,   0.0,   -3.0,     -1.0,  0.0,   -1.0},
      { 1,-1, 2,-2, 1,    -39.0,   0.0,    0.0,     21.0,  0.0,    0.0},
      { 1, 2, 2,-2, 2,     45.0,   0.0,    0.0,    -20.0,  0.0,    0.0},
      { 2,-1, 2,-2, 2,     51.0,   0.0,    0.0,    -22.0,  0.0,    0.0},
      { 1, 0, 2,-1, 1,    -40.0,   0.0,    0.0,     21.0,  0.0,    0.0},
      { 2, 1, 2,-2, 1,     41.0,   0.0,    0.0,    -21.0,  0.0,    0.0},
      {-2, 0, 0,-2, 1,    -42.0,   0.0,    0.0,     24.0,  0.0,    0.0},
      { 1,-2, 2, 0, 2,    -51.0,   0.0,    0.0,     22.0,  0.0,    0.0},

   /* 261-270 */
      { 0, 1, 2, 1, 1,    -42.0,   0.0,    0.0,     22.0,  0.0,    0.0},
      { 1, 0, 4,-2, 1,     39.0,   0.0,    0.0,    -21.0,  0.0,    0.0},
      {-2, 0, 4, 2, 2,     46.0,   0.0,    0.0,    -18.0,  0.0,    0.0},
      { 1, 1, 2, 1, 2,    -53.0,   0.0,    0.0,     22.0,  0.0,    0.0},
      { 1, 0, 0, 4, 0,     82.0,   0.0,    0.0,     -4.0,  0.0,    0.0},
      { 1, 0, 2, 2, 0,     81.0,   0.0,   -1.0,     -4.0,  0.0,    0.0},
      { 2, 0, 2, 1, 2,     47.0,   0.0,    0.0,    -19.0,  0.0,    0.0},
      { 3, 1, 2, 0, 2,     53.0,   0.0,    0.0,    -23.0,  0.0,    0.0},
      { 4, 0, 2, 0, 1,    -45.0,   0.0,    0.0,     22.0,  0.0,    0.0},
      {-2,-1, 2, 0, 0,    -44.0,   0.0,    0.0,     -2.0,  0.0,    0.0},

   /* 271-280 */
      { 0, 1,-2, 2, 1,    -33.0,   0.0,    0.0,     16.0,  0.0,    0.0},
      { 1, 0,-2, 1, 0,    -61.0,   0.0,    0.0,      1.0,  0.0,    0.0},
      { 0,-1,-2, 2, 1,     28.0,   0.0,    0.0,    -15.0,  0.0,    0.0},
      { 2,-1, 0,-2, 1,    -38.0,   0.0,    0.0,     19.0,  0.0,    0.0},
      {-1, 0, 2,-1, 2,    -33.0,   0.0,    0.0,     21.0,  0.0,    0.0},
      { 1, 0, 2,-3, 2,    -60.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 0, 1, 2,-2, 3,     48.0,   0.0,    0.0,    -10.0,  0.0,    0.0},
      { 0, 0, 2,-3, 1,     27.0,   0.0,    0.0,    -14.0,  0.0,    0.0},
      {-1, 0,-2, 2, 1,     38.0,   0.0,    0.0,    -20.0,  0.0,    0.0},
      { 0, 0, 2,-4, 2,     31.0,   0.0,    0.0,    -13.0,  0.0,    0.0},

   /* 281-290 */
      {-2, 1, 0, 0, 1,    -29.0,   0.0,    0.0,     15.0,  0.0,    0.0},
      {-1, 0, 0,-1, 1,     28.0,   0.0,    0.0,    -15.0,  0.0,    0.0},
      { 2, 0, 2,-4, 2,    -32.0,   0.0,    0.0,     15.0,  0.0,    0.0},
      { 0, 0, 4,-4, 4,     45.0,   0.0,    0.0,     -8.0,  0.0,    0.0},
      { 0, 0, 4,-4, 2,    -44.0,   0.0,    0.0,     19.0,  0.0,    0.0},
      {-1,-2, 0, 2, 1,     28.0,   0.0,    0.0,    -15.0,  0.0,    0.0},
      {-2, 0, 0, 3, 0,    -51.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 1, 0,-2, 2, 1,    -36.0,   0.0,    0.0,     20.0,  0.0,    0.0},
      {-3, 0, 2, 2, 2,     44.0,   0.0,    0.0,    -19.0,  0.0,    0.0},
      {-3, 0, 2, 2, 1,     26.0,   0.0,    0.0,    -14.0,  0.0,    0.0},

   /* 291-300 */
      {-2, 0, 2, 2, 0,    -60.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      { 2,-1, 0, 0, 1,     35.0,   0.0,    0.0,    -18.0,  0.0,    0.0},
      {-2, 1, 2, 2, 2,    -27.0,   0.0,    0.0,     11.0,  0.0,    0.0},
      { 1, 1, 0, 1, 0,     47.0,   0.0,    0.0,     -1.0,  0.0,    0.0},
      { 0, 1, 4,-2, 2,     36.0,   0.0,    0.0,    -15.0,  0.0,    0.0},
      {-1, 1, 0,-2, 1,    -36.0,   0.0,    0.0,     20.0,  0.0,    0.0},
      { 0, 0, 0,-4, 1,    -35.0,   0.0,    0.0,     19.0,  0.0,    0.0},
      { 1,-1, 0, 2, 1,    -37.0,   0.0,    0.0,     19.0,  0.0,    0.0},
      { 1, 1, 0, 2, 1,     32.0,   0.0,    0.0,    -16.0,  0.0,    0.0},
      {-1, 2, 2, 2, 2,     35.0,   0.0,    0.0,    -14.0,  0.0,    0.0},

   /* 301-310 */
      { 3, 1, 2,-2, 2,     32.0,   0.0,    0.0,    -13.0,  0.0,    0.0},
      { 0,-1, 0, 4, 0,     65.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      { 2,-1, 0, 2, 0,     47.0,   0.0,    0.0,     -1.0,  0.0,    0.0},
      { 0, 0, 4, 0, 1,     32.0,   0.0,    0.0,    -16.0,  0.0,    0.0},
      { 2, 0, 4,-2, 2,     37.0,   0.0,    0.0,    -16.0,  0.0,    0.0},
      {-1,-1, 2, 4, 1,    -30.0,   0.0,    0.0,     15.0,  0.0,    0.0},
      { 1, 0, 0, 4, 1,    -32.0,   0.0,    0.0,     16.0,  0.0,    0.0},
      { 1,-2, 2, 2, 2,    -31.0,   0.0,    0.0,     13.0,  0.0,    0.0},
      { 0, 0, 2, 3, 2,     37.0,   0.0,    0.0,    -16.0,  0.0,    0.0},
      {-1, 1, 2, 4, 2,     31.0,   0.0,    0.0,    -13.0,  0.0,    0.0},

   /* 311-320 */
      { 3, 0, 0, 2, 0,     49.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      {-1, 0, 4, 2, 2,     32.0,   0.0,    0.0,    -13.0,  0.0,    0.0},
      { 1, 1, 2, 2, 1,     23.0,   0.0,    0.0,    -12.0,  0.0,    0.0},
      {-2, 0, 2, 6, 2,    -43.0,   0.0,    0.0,     18.0,  0.0,    0.0},
      { 2, 1, 2, 2, 2,     26.0,   0.0,    0.0,    -11.0,  0.0,    0.0},
      {-1, 0, 2, 6, 2,    -32.0,   0.0,    0.0,     14.0,  0.0,    0.0},
      { 1, 0, 2, 4, 1,    -29.0,   0.0,    0.0,     14.0,  0.0,    0.0},
      { 2, 0, 2, 4, 2,    -27.0,   0.0,    0.0,     12.0,  0.0,    0.0},
      { 1, 1,-2, 1, 0,     30.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-3, 1, 2, 1, 2,    -11.0,   0.0,    0.0,      5.0,  0.0,    0.0},

   /* 321-330 */
      { 2, 0,-2, 0, 2,    -21.0,   0.0,    0.0,     10.0,  0.0,    0.0},
      {-1, 0, 0, 1, 2,    -34.0,   0.0,    0.0,     15.0,  0.0,    0.0},
      {-4, 0, 2, 2, 1,    -10.0,   0.0,    0.0,      6.0,  0.0,    0.0},
      {-1,-1, 0, 1, 0,    -36.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 0, 0,-2, 2, 2,     -9.0,   0.0,    0.0,      4.0,  0.0,    0.0},
      { 1, 0, 0,-1, 2,    -12.0,   0.0,    0.0,      5.0,  0.0,    0.0},
      { 0,-1, 2,-2, 3,    -21.0,   0.0,    0.0,      5.0,  0.0,    0.0},
      {-2, 1, 2, 0, 0,    -29.0,   0.0,    0.0,     -1.0,  0.0,    0.0},
      { 0, 0, 2,-2, 4,    -15.0,   0.0,    0.0,      3.0,  0.0,    0.0},
      {-2,-2, 0, 2, 0,    -20.0,   0.0,    0.0,      0.0,  0.0,    0.0},

   /* 331-340 */
      {-2, 0,-2, 4, 0,     28.0,   0.0,    0.0,      0.0,  0.0,   -2.0},
      { 0,-2,-2, 2, 0,     17.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 1, 2, 0,-2, 1,    -22.0,   0.0,    0.0,     12.0,  0.0,    0.0},
      { 3, 0, 0,-4, 1,    -14.0,   0.0,    0.0,      7.0,  0.0,    0.0},
      {-1, 1, 2,-2, 2,     24.0,   0.0,    0.0,    -11.0,  0.0,    0.0},
      { 1,-1, 2,-4, 1,     11.0,   0.0,    0.0,     -6.0,  0.0,    0.0},
      { 1, 1, 0,-2, 2,     14.0,   0.0,    0.0,     -6.0,  0.0,    0.0},
      {-3, 0, 2, 0, 0,     24.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-3, 0, 2, 0, 2,     18.0,   0.0,    0.0,     -8.0,  0.0,    0.0},
      {-2, 0, 0, 1, 0,    -38.0,   0.0,    0.0,      0.0,  0.0,    0.0},

   /* 341-350 */
      { 0, 0,-2, 1, 0,    -31.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-3, 0, 0, 2, 1,    -16.0,   0.0,    0.0,      8.0,  0.0,    0.0},
      {-1,-1,-2, 2, 0,     29.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 0, 1, 2,-4, 1,    -18.0,   0.0,    0.0,     10.0,  0.0,    0.0},
      { 2, 1, 0,-4, 1,    -10.0,   0.0,    0.0,      5.0,  0.0,    0.0},
      { 0, 2, 0,-2, 1,    -17.0,   0.0,    0.0,     10.0,  0.0,    0.0},
      { 1, 0, 0,-3, 1,      9.0,   0.0,    0.0,     -4.0,  0.0,    0.0},
      {-2, 0, 2,-2, 2,     16.0,   0.0,    0.0,     -6.0,  0.0,    0.0},
      {-2,-1, 0, 0, 1,     22.0,   0.0,    0.0,    -12.0,  0.0,    0.0},
      {-4, 0, 0, 2, 0,     20.0,   0.0,    0.0,      0.0,  0.0,    0.0},

   /* 351-360 */
      { 1, 1, 0,-4, 1,    -13.0,   0.0,    0.0,      6.0,  0.0,    0.0},
      {-1, 0, 2,-4, 1,    -17.0,   0.0,    0.0,      9.0,  0.0,    0.0},
      { 0, 0, 4,-4, 1,    -14.0,   0.0,    0.0,      8.0,  0.0,    0.0},
      { 0, 3, 2,-2, 2,      0.0,   0.0,    0.0,     -7.0,  0.0,    0.0},
      {-3,-1, 0, 4, 0,     14.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-3, 0, 0, 4, 1,     19.0,   0.0,    0.0,    -10.0,  0.0,    0.0},
      { 1,-1,-2, 2, 0,    -34.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-1,-1, 0, 2, 2,    -20.0,   0.0,    0.0,      8.0,  0.0,    0.0},
      { 1,-2, 0, 0, 1,      9.0,   0.0,    0.0,     -5.0,  0.0,    0.0},
      { 1,-1, 0, 0, 2,    -18.0,   0.0,    0.0,      7.0,  0.0,    0.0},

   /* 361-370 */
      { 0, 0, 0, 1, 2,     13.0,   0.0,    0.0,     -6.0,  0.0,    0.0},
      {-1,-1, 2, 0, 0,     17.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 1,-2, 2,-2, 2,    -12.0,   0.0,    0.0,      5.0,  0.0,    0.0},
      { 0,-1, 2,-1, 1,     15.0,   0.0,    0.0,     -8.0,  0.0,    0.0},
      {-1, 0, 2, 0, 3,    -11.0,   0.0,    0.0,      3.0,  0.0,    0.0},
      { 1, 1, 0, 0, 2,     13.0,   0.0,    0.0,     -5.0,  0.0,    0.0},
      {-1, 1, 2, 0, 0,    -18.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 1, 2, 0, 0, 0,    -35.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-1, 2, 2, 0, 2,      9.0,   0.0,    0.0,     -4.0,  0.0,    0.0},
      {-1, 0, 4,-2, 1,    -19.0,   0.0,    0.0,     10.0,  0.0,    0.0},

   /* 371-380 */
      { 3, 0, 2,-4, 2,    -26.0,   0.0,    0.0,     11.0,  0.0,    0.0},
      { 1, 2, 2,-2, 1,      8.0,   0.0,    0.0,     -4.0,  0.0,    0.0},
      { 1, 0, 4,-4, 2,    -10.0,   0.0,    0.0,      4.0,  0.0,    0.0},
      {-2,-1, 0, 4, 1,     10.0,   0.0,    0.0,     -6.0,  0.0,    0.0},
      { 0,-1, 0, 2, 2,    -21.0,   0.0,    0.0,      9.0,  0.0,    0.0},
      {-2, 1, 0, 4, 0,    -15.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-2,-1, 2, 2, 1,      9.0,   0.0,    0.0,     -5.0,  0.0,    0.0},
      { 2, 0,-2, 2, 0,    -29.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 1, 0, 0, 1, 1,    -19.0,   0.0,    0.0,     10.0,  0.0,    0.0},
      { 0, 1, 0, 2, 2,     12.0,   0.0,    0.0,     -5.0,  0.0,    0.0},

   /* 381-390 */
      { 1,-1, 2,-1, 2,     22.0,   0.0,    0.0,     -9.0,  0.0,    0.0},
      {-2, 0, 4, 0, 1,    -10.0,   0.0,    0.0,      5.0,  0.0,    0.0},
      { 2, 1, 0, 0, 1,    -20.0,   0.0,    0.0,     11.0,  0.0,    0.0},
      { 0, 1, 2, 0, 0,    -20.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 0,-1, 4,-2, 2,    -17.0,   0.0,    0.0,      7.0,  0.0,    0.0},
      { 0, 0, 4,-2, 4,     15.0,   0.0,    0.0,     -3.0,  0.0,    0.0},
      { 0, 2, 2, 0, 1,      8.0,   0.0,    0.0,     -4.0,  0.0,    0.0},
      {-3, 0, 0, 6, 0,     14.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-1,-1, 0, 4, 1,    -12.0,   0.0,    0.0,      6.0,  0.0,    0.0},
      { 1,-2, 0, 2, 0,     25.0,   0.0,    0.0,      0.0,  0.0,    0.0},

   /* 391-400 */
      {-1, 0, 0, 4, 2,    -13.0,   0.0,    0.0,      6.0,  0.0,    0.0},
      {-1,-2, 2, 2, 1,    -14.0,   0.0,    0.0,      8.0,  0.0,    0.0},
      {-1, 0, 0,-2, 2,     13.0,   0.0,    0.0,     -5.0,  0.0,    0.0},
      { 1, 0,-2,-2, 1,    -17.0,   0.0,    0.0,      9.0,  0.0,    0.0},
      { 0, 0,-2,-2, 1,    -12.0,   0.0,    0.0,      6.0,  0.0,    0.0},
      {-2, 0,-2, 0, 1,    -10.0,   0.0,    0.0,      5.0,  0.0,    0.0},
      { 0, 0, 0, 3, 1,     10.0,   0.0,    0.0,     -6.0,  0.0,    0.0},
      { 0, 0, 0, 3, 0,    -15.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-1, 1, 0, 4, 0,    -22.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-1,-1, 2, 2, 0,     28.0,   0.0,    0.0,     -1.0,  0.0,    0.0},

   /* 401-410 */
      {-2, 0, 2, 3, 2,     15.0,   0.0,    0.0,     -7.0,  0.0,    0.0},
      { 1, 0, 0, 2, 2,     23.0,   0.0,    0.0,    -10.0,  0.0,    0.0},
      { 0,-1, 2, 1, 2,     12.0,   0.0,    0.0,     -5.0,  0.0,    0.0},
      { 3,-1, 0, 0, 0,     29.0,   0.0,    0.0,     -1.0,  0.0,    0.0},
      { 2, 0, 0, 1, 0,    -25.0,   0.0,    0.0,      1.0,  0.0,    0.0},
      { 1,-1, 2, 0, 0,     22.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 0, 0, 2, 1, 0,    -18.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 1, 0, 2, 0, 3,     15.0,   0.0,    0.0,      3.0,  0.0,    0.0},
      { 3, 1, 0, 0, 0,    -23.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 3,-1, 2,-2, 2,     12.0,   0.0,    0.0,     -5.0,  0.0,    0.0},

   /* 411-420 */
      { 2, 0, 2,-1, 1,     -8.0,   0.0,    0.0,      4.0,  0.0,    0.0},
      { 1, 1, 2, 0, 0,    -19.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 0, 0, 4,-1, 2,    -10.0,   0.0,    0.0,      4.0,  0.0,    0.0},
      { 1, 2, 2, 0, 2,     21.0,   0.0,    0.0,     -9.0,  0.0,    0.0},
      {-2, 0, 0, 6, 0,     23.0,   0.0,    0.0,     -1.0,  0.0,    0.0},
      { 0,-1, 0, 4, 1,    -16.0,   0.0,    0.0,      8.0,  0.0,    0.0},
      {-2,-1, 2, 4, 1,    -19.0,   0.0,    0.0,      9.0,  0.0,    0.0},
      { 0,-2, 2, 2, 1,    -22.0,   0.0,    0.0,     10.0,  0.0,    0.0},
      { 0,-1, 2, 2, 0,     27.0,   0.0,    0.0,     -1.0,  0.0,    0.0},
      {-1, 0, 2, 3, 1,     16.0,   0.0,    0.0,     -8.0,  0.0,    0.0},

   /* 421-430 */
      {-2, 1, 2, 4, 2,     19.0,   0.0,    0.0,     -8.0,  0.0,    0.0},
      { 2, 0, 0, 2, 2,      9.0,   0.0,    0.0,     -4.0,  0.0,    0.0},
      { 2,-2, 2, 0, 2,     -9.0,   0.0,    0.0,      4.0,  0.0,    0.0},
      {-1, 1, 2, 3, 2,     -9.0,   0.0,    0.0,      4.0,  0.0,    0.0},
      { 3, 0, 2,-1, 2,     -8.0,   0.0,    0.0,      4.0,  0.0,    0.0},
      { 4, 0, 2,-2, 1,     18.0,   0.0,    0.0,     -9.0,  0.0,    0.0},
      {-1, 0, 0, 6, 0,     16.0,   0.0,    0.0,     -1.0,  0.0,    0.0},
      {-1,-2, 2, 4, 2,    -10.0,   0.0,    0.0,      4.0,  0.0,    0.0},
      {-3, 0, 2, 6, 2,    -23.0,   0.0,    0.0,      9.0,  0.0,    0.0},
      {-1, 0, 2, 4, 0,     16.0,   0.0,    0.0,     -1.0,  0.0,    0.0},

   /* 431-440 */
      { 3, 0, 0, 2, 1,    -12.0,   0.0,    0.0,      6.0,  0.0,    0.0},
      { 3,-1, 2, 0, 1,     -8.0,   0.0,    0.0,      4.0,  0.0,    0.0},
      { 3, 0, 2, 0, 0,     30.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      { 1, 0, 4, 0, 2,     24.0,   0.0,    0.0,    -10.0,  0.0,    0.0},
      { 5, 0, 2,-2, 2,     10.0,   0.0,    0.0,     -4.0,  0.0,    0.0},
      { 0,-1, 2, 4, 1,    -16.0,   0.0,    0.0,      7.0,  0.0,    0.0},
      { 2,-1, 2, 2, 1,    -16.0,   0.0,    0.0,      7.0,  0.0,    0.0},
      { 0, 1, 2, 4, 2,     17.0,   0.0,    0.0,     -7.0,  0.0,    0.0},
      { 1,-1, 2, 4, 2,    -24.0,   0.0,    0.0,     10.0,  0.0,    0.0},
      { 3,-1, 2, 2, 2,    -12.0,   0.0,    0.0,      5.0,  0.0,    0.0},

   /* 441-450 */
      { 3, 0, 2, 2, 1,    -24.0,   0.0,    0.0,     11.0,  0.0,    0.0},
      { 5, 0, 2, 0, 2,    -23.0,   0.0,    0.0,      9.0,  0.0,    0.0},
      { 0, 0, 2, 6, 2,    -13.0,   0.0,    0.0,      5.0,  0.0,    0.0},
      { 4, 0, 2, 2, 2,    -15.0,   0.0,    0.0,      7.0,  0.0,    0.0},
      { 0,-1, 1,-1, 1,      0.0,   0.0,-1988.0,      0.0,  0.0,-1679.0},
      {-1, 0, 1, 0, 3,      0.0,   0.0,  -63.0,      0.0,  0.0,  -27.0},
      { 0,-2, 2,-2, 3,     -4.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 1, 0,-1, 0, 1,      0.0,   0.0,    5.0,      0.0,  0.0,    4.0},
      { 2,-2, 0,-2, 1,      5.0,   0.0,    0.0,     -3.0,  0.0,    0.0},
      {-1, 0, 1, 0, 2,      0.0,   0.0,  364.0,      0.0,  0.0,  176.0},

   /* 451-460 */
      {-1, 0, 1, 0, 1,      0.0,   0.0,-1044.0,      0.0,  0.0, -891.0},
      {-1,-1, 2,-1, 2,     -3.0,   0.0,    0.0,      1.0,  0.0,    0.0},
      {-2, 2, 0, 2, 2,      4.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      {-1, 0, 1, 0, 0,      0.0,   0.0,  330.0,      0.0,  0.0,    0.0},
      {-4, 1, 2, 2, 2,      5.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      {-3, 0, 2, 1, 1,      3.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      {-2,-1, 2, 0, 2,     -3.0,   0.0,    0.0,      1.0,  0.0,    0.0},
      { 1, 0,-2, 1, 1,     -5.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      { 2,-1,-2, 0, 1,      3.0,   0.0,    0.0,     -1.0,  0.0,    0.0},
      {-4, 0, 2, 2, 0,      3.0,   0.0,    0.0,      0.0,  0.0,    0.0},

   /* 461-470 */
      {-3, 1, 0, 3, 0,      3.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-1, 0,-1, 2, 0,      0.0,   0.0,    5.0,      0.0,  0.0,    0.0},
      { 0,-2, 0, 0, 2,      0.0,   0.0,    0.0,      1.0,  0.0,    0.0},
      { 0,-2, 0, 0, 2,      4.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      {-3, 0, 0, 3, 0,      6.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-2,-1, 0, 2, 2,      5.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      {-1, 0,-2, 3, 0,     -7.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-4, 0, 0, 4, 0,    -12.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 2, 1,-2, 0, 1,      5.0,   0.0,    0.0,     -3.0,  0.0,    0.0},
      { 2,-1, 0,-2, 2,      3.0,   0.0,    0.0,     -1.0,  0.0,    0.0},

   /* 471-480 */
      { 0, 0, 1,-1, 0,     -5.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-1, 2, 0, 1, 0,      3.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-2, 1, 2, 0, 2,     -7.0,   0.0,    0.0,      3.0,  0.0,    0.0},
      { 1, 1, 0,-1, 1,      7.0,   0.0,    0.0,     -4.0,  0.0,    0.0},
      { 1, 0, 1,-2, 1,      0.0,   0.0,  -12.0,      0.0,  0.0,  -10.0},
      { 0, 2, 0, 0, 2,      4.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      { 1,-1, 2,-3, 1,      3.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      {-1, 1, 2,-1, 1,     -3.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      {-2, 0, 4,-2, 2,     -7.0,   0.0,    0.0,      3.0,  0.0,    0.0},
      {-2, 0, 4,-2, 1,     -4.0,   0.0,    0.0,      2.0,  0.0,    0.0},

   /* 481-490 */
      {-2,-2, 0, 2, 1,     -3.0,   0.0,    0.0,      1.0,  0.0,    0.0},
      {-2, 0,-2, 4, 0,      0.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 1, 2, 2,-4, 1,     -3.0,   0.0,    0.0,      1.0,  0.0,    0.0},
      { 1, 1, 2,-4, 2,      7.0,   0.0,    0.0,     -3.0,  0.0,    0.0},
      {-1, 2, 2,-2, 1,     -4.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      { 2, 0, 0,-3, 1,      4.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      {-1, 2, 0, 0, 1,     -5.0,   0.0,    0.0,      3.0,  0.0,    0.0},
      { 0, 0, 0,-2, 0,      5.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-1,-1, 2,-2, 2,     -5.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      {-1, 1, 0, 0, 2,      5.0,   0.0,    0.0,     -2.0,  0.0,    0.0},

   /* 491-500 */
      { 0, 0, 0,-1, 2,     -8.0,   0.0,    0.0,      3.0,  0.0,    0.0},
      {-2, 1, 0, 1, 0,      9.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 1,-2, 0,-2, 1,      6.0,   0.0,    0.0,     -3.0,  0.0,    0.0},
      { 1, 0,-2, 0, 2,     -5.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      {-3, 1, 0, 2, 0,      3.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-1, 1,-2, 2, 0,     -7.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-1,-1, 0, 0, 2,     -3.0,   0.0,    0.0,      1.0,  0.0,    0.0},
      {-3, 0, 0, 2, 0,      5.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-3,-1, 0, 2, 0,      3.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 2, 0, 2,-6, 1,     -3.0,   0.0,    0.0,      2.0,  0.0,    0.0},

   /* 501-510 */
      { 0, 1, 2,-4, 2,      4.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      { 2, 0, 0,-4, 2,      3.0,   0.0,    0.0,     -1.0,  0.0,    0.0},
      {-2, 1, 2,-2, 1,     -5.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      { 0,-1, 2,-4, 1,      4.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      { 0, 1, 0,-2, 2,      9.0,   0.0,    0.0,     -3.0,  0.0,    0.0},
      {-1, 0, 0,-2, 0,      4.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 2, 0,-2,-2, 1,      4.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      {-4, 0, 2, 0, 1,     -3.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      {-1,-1, 0,-1, 1,     -4.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      { 0, 0,-2, 0, 2,      9.0,   0.0,    0.0,     -3.0,  0.0,    0.0},

   /* 511-520 */
      {-3, 0, 0, 1, 0,     -4.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-1, 0,-2, 1, 0,     -4.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-2, 0,-2, 2, 1,      3.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      { 0, 0,-4, 2, 0,      8.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-2,-1,-2, 2, 0,      3.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 1, 0, 2,-6, 1,     -3.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      {-1, 0, 2,-4, 2,      3.0,   0.0,    0.0,     -1.0,  0.0,    0.0},
      { 1, 0, 0,-4, 2,      3.0,   0.0,    0.0,     -1.0,  0.0,    0.0},
      { 2, 1, 2,-4, 2,     -3.0,   0.0,    0.0,      1.0,  0.0,    0.0},
      { 2, 1, 2,-4, 1,      6.0,   0.0,    0.0,     -3.0,  0.0,    0.0},

   /* 521-530 */
      { 0, 1, 4,-4, 4,      3.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 0, 1, 4,-4, 2,     -3.0,   0.0,    0.0,      1.0,  0.0,    0.0},
      {-1,-1,-2, 4, 0,     -7.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-1,-3, 0, 2, 0,      9.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-1, 0,-2, 4, 1,     -3.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      {-2,-1, 0, 3, 0,     -3.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 0, 0,-2, 3, 0,     -4.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-2, 0, 0, 3, 1,     -5.0,   0.0,    0.0,      3.0,  0.0,    0.0},
      { 0,-1, 0, 1, 0,    -13.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-3, 0, 2, 2, 0,     -7.0,   0.0,    0.0,      0.0,  0.0,    0.0},

   /* 531-540 */
      { 1, 1,-2, 2, 0,     10.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-1, 1, 0, 2, 2,      3.0,   0.0,    0.0,     -1.0,  0.0,    0.0},
      { 1,-2, 2,-2, 1,     10.0,   0.0,   13.0,      6.0,  0.0,   -5.0},
      { 0, 0, 1, 0, 2,      0.0,   0.0,   30.0,      0.0,  0.0,   14.0},
      { 0, 0, 1, 0, 1,      0.0,   0.0, -162.0,      0.0,  0.0, -138.0},
      { 0, 0, 1, 0, 0,      0.0,   0.0,   75.0,      0.0,  0.0,    0.0},
      {-1, 2, 0, 2, 1,     -7.0,   0.0,    0.0,      4.0,  0.0,    0.0},
      { 0, 0, 2, 0, 2,     -4.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      {-2, 0, 2, 0, 2,      4.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      { 2, 0, 0,-1, 1,      5.0,   0.0,    0.0,     -2.0,  0.0,    0.0},

   /* 541-550 */
      { 3, 0, 0,-2, 1,      5.0,   0.0,    0.0,     -3.0,  0.0,    0.0},
      { 1, 0, 2,-2, 3,     -3.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 1, 2, 0, 0, 1,     -3.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      { 2, 0, 2,-3, 2,     -4.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      {-1, 1, 4,-2, 2,     -5.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      {-2,-2, 0, 4, 0,      6.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 0,-3, 0, 2, 0,      9.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 0, 0,-2, 4, 0,      5.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-1,-1, 0, 3, 0,     -7.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-2, 0, 0, 4, 2,     -3.0,   0.0,    0.0,      1.0,  0.0,    0.0},

   /* 551-560 */
      {-1, 0, 0, 3, 1,     -4.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      { 2,-2, 0, 0, 0,      7.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 1,-1, 0, 1, 0,     -4.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-1, 0, 0, 2, 0,      4.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 0,-2, 2, 0, 1,     -6.0,   0.0,   -3.0,      3.0,  0.0,    1.0},
      {-1, 0, 1, 2, 1,      0.0,   0.0,   -3.0,      0.0,  0.0,   -2.0},
      {-1, 1, 0, 3, 0,     11.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-1,-1, 2, 1, 2,      3.0,   0.0,    0.0,     -1.0,  0.0,    0.0},
      { 0,-1, 2, 0, 0,     11.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-2, 1, 2, 2, 1,     -3.0,   0.0,    0.0,      2.0,  0.0,    0.0},

   /* 561-570 */
      { 2,-2, 2,-2, 2,     -1.0,   0.0,    3.0,      3.0,  0.0,   -1.0},
      { 1, 1, 0, 1, 1,      4.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      { 1, 0, 1, 0, 1,      0.0,   0.0,  -13.0,      0.0,  0.0,  -11.0},
      { 1, 0, 1, 0, 0,      3.0,   0.0,    6.0,      0.0,  0.0,    0.0},
      { 0, 2, 0, 2, 0,     -7.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 2,-1, 2,-2, 1,      5.0,   0.0,    0.0,     -3.0,  0.0,    0.0},
      { 0,-1, 4,-2, 1,     -3.0,   0.0,    0.0,      1.0,  0.0,    0.0},
      { 0, 0, 4,-2, 3,      3.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 0, 1, 4,-2, 1,      5.0,   0.0,    0.0,     -3.0,  0.0,    0.0},
      { 4, 0, 2,-4, 2,     -7.0,   0.0,    0.0,      3.0,  0.0,    0.0},

   /* 571-580 */
      { 2, 2, 2,-2, 2,      8.0,   0.0,    0.0,     -3.0,  0.0,    0.0},
      { 2, 0, 4,-4, 2,     -4.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      {-1,-2, 0, 4, 0,     11.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-1,-3, 2, 2, 2,     -3.0,   0.0,    0.0,      1.0,  0.0,    0.0},
      {-3, 0, 2, 4, 2,      3.0,   0.0,    0.0,     -1.0,  0.0,    0.0},
      {-3, 0, 2,-2, 1,     -4.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      {-1,-1, 0,-2, 1,      8.0,   0.0,    0.0,     -4.0,  0.0,    0.0},
      {-3, 0, 0, 0, 2,      3.0,   0.0,    0.0,     -1.0,  0.0,    0.0},
      {-3, 0,-2, 2, 0,     11.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 0, 1, 0,-4, 1,     -6.0,   0.0,    0.0,      3.0,  0.0,    0.0},

   /* 581-590 */
      {-2, 1, 0,-2, 1,     -4.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      {-4, 0, 0, 0, 1,     -8.0,   0.0,    0.0,      4.0,  0.0,    0.0},
      {-1, 0, 0,-4, 1,     -7.0,   0.0,    0.0,      3.0,  0.0,    0.0},
      {-3, 0, 0,-2, 1,     -4.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      { 0, 0, 0, 3, 2,      3.0,   0.0,    0.0,     -1.0,  0.0,    0.0},
      {-1, 1, 0, 4, 1,      6.0,   0.0,    0.0,     -3.0,  0.0,    0.0},
      { 1,-2, 2, 0, 1,     -6.0,   0.0,    0.0,      3.0,  0.0,    0.0},
      { 0, 1, 0, 3, 0,      6.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-1, 0, 2, 2, 3,      6.0,   0.0,    0.0,     -1.0,  0.0,    0.0},
      { 0, 0, 2, 2, 2,      5.0,   0.0,    0.0,     -2.0,  0.0,    0.0},

   /* 591-600 */
      {-2, 0, 2, 2, 2,     -5.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      {-1, 1, 2, 2, 0,     -4.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 3, 0, 0, 0, 2,     -4.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      { 2, 1, 0, 1, 0,      4.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 2,-1, 2,-1, 2,      6.0,   0.0,    0.0,     -3.0,  0.0,    0.0},
      { 0, 0, 2, 0, 1,     -4.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      { 0, 0, 3, 0, 3,      0.0,   0.0,  -26.0,      0.0,  0.0,  -11.0},
      { 0, 0, 3, 0, 2,      0.0,   0.0,  -10.0,      0.0,  0.0,   -5.0},
      {-1, 2, 2, 2, 1,      5.0,   0.0,    0.0,     -3.0,  0.0,    0.0},
      {-1, 0, 4, 0, 0,    -13.0,   0.0,    0.0,      0.0,  0.0,    0.0},

   /* 601-610 */
      { 1, 2, 2, 0, 1,      3.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      { 3, 1, 2,-2, 1,      4.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      { 1, 1, 4,-2, 2,      7.0,   0.0,    0.0,     -3.0,  0.0,    0.0},
      {-2,-1, 0, 6, 0,      4.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 0,-2, 0, 4, 0,      5.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-2, 0, 0, 6, 1,     -3.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      {-2,-2, 2, 4, 2,     -6.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      { 0,-3, 2, 2, 2,     -5.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      { 0, 0, 0, 4, 2,     -7.0,   0.0,    0.0,      3.0,  0.0,    0.0},
      {-1,-1, 2, 3, 2,      5.0,   0.0,    0.0,     -2.0,  0.0,    0.0},

   /* 611-620 */
      {-2, 0, 2, 4, 0,     13.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 2,-1, 0, 2, 1,     -4.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      { 1, 0, 0, 3, 0,     -3.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 0, 1, 0, 4, 1,      5.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      { 0, 1, 0, 4, 0,    -11.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 1,-1, 2, 1, 2,      5.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      { 0, 0, 2, 2, 3,      4.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 1, 0, 2, 2, 2,      4.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      {-1, 0, 2, 2, 2,     -4.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      {-2, 0, 4, 2, 1,      6.0,   0.0,    0.0,     -3.0,  0.0,    0.0},

   /* 621-630 */
      { 2, 1, 0, 2, 1,      3.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      { 2, 1, 0, 2, 0,    -12.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 2,-1, 2, 0, 0,      4.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 1, 0, 2, 1, 0,     -3.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 0, 1, 2, 2, 0,     -4.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 2, 0, 2, 0, 3,      3.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 3, 0, 2, 0, 2,      3.0,   0.0,    0.0,     -1.0,  0.0,    0.0},
      { 1, 0, 2, 0, 2,     -3.0,   0.0,    0.0,      1.0,  0.0,    0.0},
      { 1, 0, 3, 0, 3,      0.0,   0.0,   -5.0,      0.0,  0.0,   -2.0},
      { 1, 1, 2, 1, 1,     -7.0,   0.0,    0.0,      4.0,  0.0,    0.0},

   /* 631-640 */
      { 0, 2, 2, 2, 2,      6.0,   0.0,    0.0,     -3.0,  0.0,    0.0},
      { 2, 1, 2, 0, 0,     -3.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 2, 0, 4,-2, 1,      5.0,   0.0,    0.0,     -3.0,  0.0,    0.0},
      { 4, 1, 2,-2, 2,      3.0,   0.0,    0.0,     -1.0,  0.0,    0.0},
      {-1,-1, 0, 6, 0,      3.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      {-3,-1, 2, 6, 2,     -3.0,   0.0,    0.0,      1.0,  0.0,    0.0},
      {-1, 0, 0, 6, 1,     -5.0,   0.0,    0.0,      3.0,  0.0,    0.0},
      {-3, 0, 2, 6, 1,     -3.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      { 1,-1, 0, 4, 1,     -3.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      { 1,-1, 0, 4, 0,     12.0,   0.0,    0.0,      0.0,  0.0,    0.0},

   /* 641-650 */
      {-2, 0, 2, 5, 2,      3.0,   0.0,    0.0,     -1.0,  0.0,    0.0},
      { 1,-2, 2, 2, 1,     -4.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      { 3,-1, 0, 2, 0,      4.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 1,-1, 2, 2, 0,      6.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 0, 0, 2, 3, 1,      5.0,   0.0,    0.0,     -3.0,  0.0,    0.0},
      {-1, 1, 2, 4, 1,      4.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      { 0, 1, 2, 3, 2,     -6.0,   0.0,    0.0,      3.0,  0.0,    0.0},
      {-1, 0, 4, 2, 1,      4.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      { 2, 0, 2, 1, 1,      6.0,   0.0,    0.0,     -3.0,  0.0,    0.0},
      { 5, 0, 0, 0, 0,      6.0,   0.0,    0.0,      0.0,  0.0,    0.0},

   /* 651-660 */
      { 2, 1, 2, 1, 2,     -6.0,   0.0,    0.0,      3.0,  0.0,    0.0},
      { 1, 0, 4, 0, 1,      3.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      { 3, 1, 2, 0, 1,      7.0,   0.0,    0.0,     -4.0,  0.0,    0.0},
      { 3, 0, 4,-2, 2,      4.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      {-2,-1, 2, 6, 2,     -5.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      { 0, 0, 0, 6, 0,      5.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 0,-2, 2, 4, 2,     -6.0,   0.0,    0.0,      3.0,  0.0,    0.0},
      {-2, 0, 2, 6, 1,     -6.0,   0.0,    0.0,      3.0,  0.0,    0.0},
      { 2, 0, 0, 4, 1,     -4.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      { 2, 0, 0, 4, 0,     10.0,   0.0,    0.0,      0.0,  0.0,    0.0},

   /* 661-670 */
      { 2,-2, 2, 2, 2,     -4.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      { 0, 0, 2, 4, 0,      7.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 1, 0, 2, 3, 2,      7.0,   0.0,    0.0,     -3.0,  0.0,    0.0},
      { 4, 0, 0, 2, 0,      4.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 2, 0, 2, 2, 0,     11.0,   0.0,    0.0,      0.0,  0.0,    0.0},
      { 0, 0, 4, 2, 2,      5.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      { 4,-1, 2, 0, 2,     -6.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      { 3, 0, 2, 1, 2,      4.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      { 2, 1, 2, 2, 1,      3.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      { 4, 1, 2, 0, 2,      5.0,   0.0,    0.0,     -2.0,  0.0,    0.0},

   /* 671-678 */
      {-1,-1, 2, 6, 2,     -4.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      {-1, 0, 2, 6, 1,     -4.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      { 1,-1, 2, 4, 1,     -3.0,   0.0,    0.0,      2.0,  0.0,    0.0},
      { 1, 1, 2, 4, 2,      4.0,   0.0,    0.0,     -2.0,  0.0,    0.0},
      { 3, 1, 2, 2, 2,      3.0,   0.0,    0.0,     -1.0,  0.0,    0.0},
      { 5, 0, 2, 0, 1,     -3.0,   0.0,    0.0,      1.0,  0.0,    0.0},
      { 2,-1, 2, 4, 2,     -3.0,   0.0,    0.0,      1.0,  0.0,    0.0},
      { 2, 0, 2, 4, 1,     -3.0,   0.0,    0.0,      2.0,  0.0,    0.0}
   };

/* Number of terms in the luni-solar nutation model */
   const int NLS = (int) (sizeof xls / sizeof xls[0]);

/* ------------------------ */
/* Planetary nutation model */
/* ------------------------ */

/* The units for the sine and cosine coefficients are */
/* 0.1 microarcsecond                                 */

   static const struct {
      int nl,               /* coefficients of l, F, D and Omega */
          nf,
          nd,
          nom,
          nme,              /* coefficients of planetary longitudes */
          nve,
          nea,
          nma,
          nju,
          nsa,
          nur,
          nne,
          npa;              /* coefficient of general precession */
      int sp,cp;            /* longitude sin, cos coefficients */
      int se,ce;            /* obliquity sin, cos coefficients */
   } xpl[] = {

   /* 1-10 */
      { 0, 0, 0, 0, 0,  0,  8,-16, 4, 5, 0, 0, 0, 1440,   0,    0,   0},
      { 0, 0, 0, 0, 0,  0, -8, 16,-4,-5, 0, 0, 2,   56,-117,  -42, -40},
      { 0, 0, 0, 0, 0,  0,  8,-16, 4, 5, 0, 0, 2,  125, -43,    0, -54},
      { 0, 0, 0, 0, 0,  0,  0,  0, 0, 0,-1, 2, 2,    0,   5,    0,   0},
      { 0, 0, 0, 0, 0,  0, -4,  8,-1,-5, 0, 0, 2,    3,  -7,   -3,   0},
      { 0, 0, 0, 0, 0,  0,  4, -8, 3, 0, 0, 0, 1,    3,   0,    0,  -2},
      { 0, 1,-1, 1, 0,  0,  3, -8, 3, 0, 0, 0, 0, -114,   0,    0,  61},
      {-1, 0, 0, 0, 0, 10, -3,  0, 0, 0, 0, 0, 0, -219,  89,    0,   0},
      { 0, 0, 0, 0, 0,  0,  0,  0,-2, 6,-3, 0, 2,   -3,   0,    0,   0},
      { 0, 0, 0, 0, 0,  0,  4, -8, 3, 0, 0, 0, 0, -462,1604,    0,   0},

   /* 11-20 */
      { 0, 1,-1, 1, 0,  0, -5,  8,-3, 0, 0, 0, 0,   99,   0,    0, -53},
      { 0, 0, 0, 0, 0,  0, -4,  8,-3, 0, 0, 0, 1,   -3,   0,    0,   2},
      { 0, 0, 0, 0, 0,  0,  4, -8, 1, 5, 0, 0, 2,    0,   6,    2,   0},
      { 0, 0, 0, 0, 0, -5,  6,  4, 0, 0, 0, 0, 2,    3,   0,    0,   0},
      { 0, 0, 0, 0, 0,  0,  0,  0, 2,-5, 0, 0, 2,  -12,   0,    0,   0},
      { 0, 0, 0, 0, 0,  0,  0,  0, 2,-5, 0, 0, 1,   14,-218,  117,   8},
      { 0, 1,-1, 1, 0,  0, -1,  0, 2,-5, 0, 0, 0,   31,-481, -257, -17},
      { 0, 0, 0, 0, 0,  0,  0,  0, 2,-5, 0, 0, 0, -491, 128,    0,   0},
      { 0, 1,-1, 1, 0,  0, -1,  0,-2, 5, 0, 0, 0,-3084,5123, 2735,1647},
      { 0, 0, 0, 0, 0,  0,  0,  0,-2, 5, 0, 0, 1,-1444,2409,-1286,-771},

   /* 21-30 */
      { 0, 0, 0, 0, 0,  0,  0,  0,-2, 5, 0, 0, 2,   11, -24,  -11,  -9},
      { 2,-1,-1, 0, 0,  0,  3, -7, 0, 0, 0, 0, 0,   26,  -9,    0,   0},
      { 1, 0,-2, 0, 0, 19,-21,  3, 0, 0, 0, 0, 0,  103, -60,    0,   0},
      { 0, 1,-1, 1, 0,  2, -4,  0,-3, 0, 0, 0, 0,    0, -13,   -7,   0},
      { 1, 0,-1, 1, 0,  0, -1,  0, 2, 0, 0, 0, 0,  -26, -29,  -16,  14},
      { 0, 1,-1, 1, 0,  0, -1,  0,-4,10, 0, 0, 0,    9, -27,  -14,  -5},
      {-2, 0, 2, 1, 0,  0,  2,  0, 0,-5, 0, 0, 0,   12,   0,    0,  -6},
      { 0, 0, 0, 0, 0,  3, -7,  4, 0, 0, 0, 0, 0,   -7,   0,    0,   0},
      { 0,-1, 1, 0, 0,  0,  1,  0, 1,-1, 0, 0, 0,    0,  24,    0,   0},
      {-2, 0, 2, 1, 0,  0,  2,  0,-2, 0, 0, 0, 0,  284,   0,    0,-151},

   /* 31-40 */
      {-1, 0, 0, 0, 0, 18,-16,  0, 0, 0, 0, 0, 0,  226, 101,    0,   0},
      {-2, 1, 1, 2, 0,  0,  1,  0,-2, 0, 0, 0, 0,    0,  -8,   -2,   0},
      {-1, 1,-1, 1, 0, 18,-17,  0, 0, 0, 0, 0, 0,    0,  -6,   -3,   0},
      {-1, 0, 1, 1, 0,  0,  2, -2, 0, 0, 0, 0, 0,    5,   0,    0,  -3},
      { 0, 0, 0, 0, 0, -8, 13,  0, 0, 0, 0, 0, 2,  -41, 175,   76,  17},
      { 0, 2,-2, 2, 0, -8, 11,  0, 0, 0, 0, 0, 0,    0,  15,    6,   0},
      { 0, 0, 0, 0, 0, -8, 13,  0, 0, 0, 0, 0, 1,  425, 212, -133, 269},
      { 0, 1,-1, 1, 0, -8, 12,  0, 0, 0, 0, 0, 0, 1200, 598,  319,-641},
      { 0, 0, 0, 0, 0,  8,-13,  0, 0, 0, 0, 0, 0,  235, 334,    0,   0},
      { 0, 1,-1, 1, 0,  8,-14,  0, 0, 0, 0, 0, 0,   11, -12,   -7,  -6},

   /* 41-50 */
      { 0, 0, 0, 0, 0,  8,-13,  0, 0, 0, 0, 0, 1,    5,  -6,    3,   3},
      {-2, 0, 2, 1, 0,  0,  2,  0,-4, 5, 0, 0, 0,   -5,   0,    0,   3},
      {-2, 0, 2, 2, 0,  3, -3,  0, 0, 0, 0, 0, 0,    6,   0,    0,  -3},
      {-2, 0, 2, 0, 0,  0,  2,  0,-3, 1, 0, 0, 0,   15,   0,    0,   0},
      { 0, 0, 0, 1, 0,  3, -5,  0, 2, 0, 0, 0, 0,   13,   0,    0,  -7},
      {-2, 0, 2, 0, 0,  0,  2,  0,-4, 3, 0, 0, 0,   -6,  -9,    0,   0},
      { 0,-1, 1, 0, 0,  0,  0,  2, 0, 0, 0, 0, 0,  266, -78,    0,   0},
      { 0, 0, 0, 1, 0,  0, -1,  2, 0, 0, 0, 0, 0, -460,-435, -232, 246},
      { 0, 1,-1, 2, 0,  0, -2,  2, 0, 0, 0, 0, 0,    0,  15,    7,   0},
      {-1, 1, 0, 1, 0,  3, -5,  0, 0, 0, 0, 0, 0,   -3,   0,    0,   2},

   /* 51-60 */
      {-1, 0, 1, 0, 0,  3, -4,  0, 0, 0, 0, 0, 0,    0, 131,    0,   0},
      {-2, 0, 2, 0, 0,  0,  2,  0,-2,-2, 0, 0, 0,    4,   0,    0,   0},
      {-2, 2, 0, 2, 0,  0, -5,  9, 0, 0, 0, 0, 0,    0,   3,    0,   0},
      { 0, 1,-1, 1, 0,  0, -1,  0, 0, 0,-1, 0, 0,    0,   4,    2,   0},
      { 0, 0, 0, 0, 0,  0,  0,  0, 0, 0, 1, 0, 0,    0,   3,    0,   0},
      { 0, 1,-1, 1, 0,  0, -1,  0, 0, 0, 0, 2, 0,  -17, -19,  -10,   9},
      { 0, 0, 0, 0, 0,  0,  0,  0, 0, 0, 0, 2, 1,   -9, -11,    6,  -5},
      { 0, 0, 0, 0, 0,  0,  0,  0, 0, 0, 0, 2, 2,   -6,   0,    0,   3},
      {-1, 0, 1, 0, 0,  0,  3, -4, 0, 0, 0, 0, 0,  -16,   8,    0,   0},
      { 0,-1, 1, 0, 0,  0,  1,  0, 0, 2, 0, 0, 0,    0,   3,    0,   0},

   /* 61-70 */
      { 0, 1,-1, 2, 0,  0, -1,  0, 0, 2, 0, 0, 0,   11,  24,   11,  -5},
      { 0, 0, 0, 1, 0,  0, -9, 17, 0, 0, 0, 0, 0,   -3,  -4,   -2,   1},
      { 0, 0, 0, 2, 0, -3,  5,  0, 0, 0, 0, 0, 0,    3,   0,    0,  -1},
      { 0, 1,-1, 1, 0,  0, -1,  0,-1, 2, 0, 0, 0,    0,  -8,   -4,   0},
      { 0, 0, 0, 0, 0,  0,  0,  0, 1,-2, 0, 0, 0,    0,   3,    0,   0},
      { 1, 0,-2, 0, 0, 17,-16,  0,-2, 0, 0, 0, 0,    0,   5,    0,   0},
      { 0, 1,-1, 1, 0,  0, -1,  0, 1,-3, 0, 0, 0,    0,   3,    2,   0},
      {-2, 0, 2, 1, 0,  0,  5, -6, 0, 0, 0, 0, 0,   -6,   4,    2,   3},
      { 0,-2, 2, 0, 0,  0,  9,-13, 0, 0, 0, 0, 0,   -3,  -5,    0,   0},
      { 0, 1,-1, 2, 0,  0, -1,  0, 0, 1, 0, 0, 0,   -5,   0,    0,   2},

   /* 71-80 */
      { 0, 0, 0, 1, 0,  0,  0,  0, 0, 1, 0, 0, 0,    4,  24,   13,  -2},
      { 0,-1, 1, 0, 0,  0,  1,  0, 0, 1, 0, 0, 0,  -42,  20,    0,   0},
      { 0,-2, 2, 0, 0,  5, -6,  0, 0, 0, 0, 0, 0,  -10, 233,    0,   0},
      { 0,-1, 1, 1, 0,  5, -7,  0, 0, 0, 0, 0, 0,   -3,   0,    0,   1},
      {-2, 0, 2, 0, 0,  6, -8,  0, 0, 0, 0, 0, 0,   78, -18,    0,   0},
      { 2, 1,-3, 1, 0, -6,  7,  0, 0, 0, 0, 0, 0,    0,   3,    1,   0},
      { 0, 0, 0, 2, 0,  0,  0,  0, 1, 0, 0, 0, 0,    0,  -3,   -1,   0},
      { 0,-1, 1, 1, 0,  0,  1,  0, 1, 0, 0, 0, 0,    0,  -4,   -2,   1},
      { 0, 1,-1, 1, 0,  0, -1,  0, 0, 0, 2, 0, 0,    0,  -8,   -4,  -1},
      { 0, 0, 0, 0, 0,  0,  0,  0, 0, 0, 2, 0, 1,    0,  -5,    3,   0},

   /* 81-90 */
      { 0, 0, 0, 0, 0,  0,  0,  0, 0, 0, 2, 0, 2,   -7,   0,    0,   3},
      { 0, 0, 0, 0, 0,  0, -8, 15, 0, 0, 0, 0, 2,  -14,   8,    3,   6},
      { 0, 0, 0, 0, 0,  0, -8, 15, 0, 0, 0, 0, 1,    0,   8,   -4,   0},
      { 0, 1,-1, 1, 0,  0, -9, 15, 0, 0, 0, 0, 0,    0,  19,   10,   0},
      { 0, 0, 0, 0, 0,  0,  8,-15, 0, 0, 0, 0, 0,   45, -22,    0,   0},
      { 1,-1,-1, 0, 0,  0,  8,-15, 0, 0, 0, 0, 0,   -3,   0,    0,   0},
      { 2, 0,-2, 0, 0,  2, -5,  0, 0, 0, 0, 0, 0,    0,  -3,    0,   0},
      {-2, 0, 2, 0, 0,  0,  2,  0,-5, 5, 0, 0, 0,    0,   3,    0,   0},
      { 2, 0,-2, 1, 0,  0, -6,  8, 0, 0, 0, 0, 0,    3,   5,    3,  -2},
      { 2, 0,-2, 1, 0,  0, -2,  0, 3, 0, 0, 0, 0,   89, -16,   -9, -48},

   /* 91-100 */
      {-2, 1, 1, 0, 0,  0,  1,  0,-3, 0, 0, 0, 0,    0,   3,    0,   0},
      {-2, 1, 1, 1, 0,  0,  1,  0,-3, 0, 0, 0, 0,   -3,   7,    4,   2},
      {-2, 0, 2, 0, 0,  0,  2,  0,-3, 0, 0, 0, 0, -349, -62,    0,   0},
      {-2, 0, 2, 0, 0,  0,  6, -8, 0, 0, 0, 0, 0,  -15,  22,    0,   0},
      {-2, 0, 2, 0, 0,  0,  2,  0,-1,-5, 0, 0, 0,   -3,   0,    0,   0},
      {-1, 0, 1, 0, 0,  0,  1,  0,-1, 0, 0, 0, 0,  -53,   0,    0,   0},
      {-1, 1, 1, 1, 0,-20, 20,  0, 0, 0, 0, 0, 0,    5,   0,    0,  -3},
      { 1, 0,-2, 0, 0, 20,-21,  0, 0, 0, 0, 0, 0,    0,  -8,    0,   0},
      { 0, 0, 0, 1, 0,  0,  8,-15, 0, 0, 0, 0, 0,   15,  -7,   -4,  -8},
      { 0, 2,-2, 1, 0,  0,-10, 15, 0, 0, 0, 0, 0,   -3,   0,    0,   1},

   /* 101-110 */
      { 0,-1, 1, 0, 0,  0,  1,  0, 1, 0, 0, 0, 0,  -21, -78,    0,   0},
      { 0, 0, 0, 1, 0,  0,  0,  0, 1, 0, 0, 0, 0,   20, -70,  -37, -11},
      { 0, 1,-1, 2, 0,  0, -1,  0, 1, 0, 0, 0, 0,    0,   6,    3,   0},
      { 0, 1,-1, 1, 0,  0, -1,  0,-2, 4, 0, 0, 0,    5,   3,    2,  -2},
      { 2, 0,-2, 1, 0, -6,  8,  0, 0, 0, 0, 0, 0,  -17,  -4,   -2,   9},
      { 0,-2, 2, 1, 0,  5, -6,  0, 0, 0, 0, 0, 0,    0,   6,    3,   0},
      { 0, 0, 0, 0, 0,  0,  0,  0, 0,-1, 0, 0, 1,   32,  15,   -8,  17},
      { 0, 1,-1, 1, 0,  0, -1,  0, 0,-1, 0, 0, 0,  174,  84,   45, -93},
      { 0, 0, 0, 0, 0,  0,  0,  0, 0, 1, 0, 0, 0,   11,  56,    0,   0},
      { 0, 1,-1, 1, 0,  0, -1,  0, 0, 1, 0, 0, 0,  -66, -12,   -6,  35},

   /* 111-120 */
      { 0, 0, 0, 0, 0,  0,  0,  0, 0, 1, 0, 0, 1,   47,   8,    4, -25},
      { 0, 0, 0, 0, 0,  0,  0,  0, 0, 1, 0, 0, 2,    0,   8,    4,   0},
      { 0, 2,-2, 1, 0,  0, -9, 13, 0, 0, 0, 0, 0,   10, -22,  -12,  -5},
      { 0, 0, 0, 1, 0,  0,  7,-13, 0, 0, 0, 0, 0,   -3,   0,    0,   2},
      {-2, 0, 2, 0, 0,  0,  5, -6, 0, 0, 0, 0, 0,  -24,  12,    0,   0},
      { 0, 0, 0, 0, 0,  0,  9,-17, 0, 0, 0, 0, 0,    5,  -6,    0,   0},
      { 0, 0, 0, 0, 0,  0, -9, 17, 0, 0, 0, 0, 2,    3,   0,    0,  -2},
      { 1, 0,-1, 1, 0,  0, -3,  4, 0, 0, 0, 0, 0,    4,   3,    1,  -2},
      { 1, 0,-1, 1, 0, -3,  4,  0, 0, 0, 0, 0, 0,    0,  29,   15,   0},
      { 0, 0, 0, 2, 0,  0, -1,  2, 0, 0, 0, 0, 0,   -5,  -4,   -2,   2},

   /* 121-130 */
      { 0,-1, 1, 1, 0,  0,  0,  2, 0, 0, 0, 0, 0,    8,  -3,   -1,  -5},
      { 0,-2, 2, 0, 1,  0, -2,  0, 0, 0, 0, 0, 0,    0,  -3,    0,   0},
      { 0, 0, 0, 0, 0,  3, -5,  0, 2, 0, 0, 0, 0,   10,   0,    0,   0},
      {-2, 0, 2, 1, 0,  0,  2,  0,-3, 1, 0, 0, 0,    3,   0,    0,  -2},
      {-2, 0, 2, 1, 0,  3, -3,  0, 0, 0, 0, 0, 0,   -5,   0,    0,   3},
      { 0, 0, 0, 1, 0,  8,-13,  0, 0, 0, 0, 0, 0,   46,  66,   35, -25},
      { 0,-1, 1, 0, 0,  8,-12,  0, 0, 0, 0, 0, 0,  -14,   7,    0,   0},
      { 0, 2,-2, 1, 0, -8, 11,  0, 0, 0, 0, 0, 0,    0,   3,    2,   0},
      {-1, 0, 1, 0, 0,  0,  2, -2, 0, 0, 0, 0, 0,   -5,   0,    0,   0},
      {-1, 0, 0, 1, 0, 18,-16,  0, 0, 0, 0, 0, 0,  -68, -34,  -18,  36},

   /* 131-140 */
      { 0, 1,-1, 1, 0,  0, -1,  0,-1, 1, 0, 0, 0,    0,  14,    7,   0},
      { 0, 0, 0, 1, 0,  3, -7,  4, 0, 0, 0, 0, 0,   10,  -6,   -3,  -5},
      {-2, 1, 1, 1, 0,  0, -3,  7, 0, 0, 0, 0, 0,   -5,  -4,   -2,   3},
      { 0, 1,-1, 2, 0,  0, -1,  0,-2, 5, 0, 0, 0,   -3,   5,    2,   1},
      { 0, 0, 0, 1, 0,  0,  0,  0,-2, 5, 0, 0, 0,   76,  17,    9, -41},
      { 0, 0, 0, 1, 0,  0, -4,  8,-3, 0, 0, 0, 0,   84, 298,  159, -45},
      { 1, 0, 0, 1, 0,-10,  3,  0, 0, 0, 0, 0, 0,    3,   0,    0,  -1},
      { 0, 2,-2, 1, 0,  0, -2,  0, 0, 0, 0, 0, 0,   -3,   0,    0,   2},
      {-1, 0, 0, 1, 0, 10, -3,  0, 0, 0, 0, 0, 0,   -3,   0,    0,   1},
      { 0, 0, 0, 1, 0,  0,  4, -8, 3, 0, 0, 0, 0,  -82, 292,  156,  44},

   /* 141-150 */
      { 0, 0, 0, 1, 0,  0,  0,  0, 2,-5, 0, 0, 0,  -73,  17,    9,  39},
      { 0,-1, 1, 0, 0,  0,  1,  0, 2,-5, 0, 0, 0,   -9, -16,    0,   0},
      { 2,-1,-1, 1, 0,  0,  3, -7, 0, 0, 0, 0, 0,    3,   0,   -1,  -2},
      {-2, 0, 2, 0, 0,  0,  2,  0, 0,-5, 0, 0, 0,   -3,   0,    0,   0},
      { 0, 0, 0, 1, 0, -3,  7, -4, 0, 0, 0, 0, 0,   -9,  -5,   -3,   5},
      {-2, 0, 2, 0, 0,  0,  2,  0,-2, 0, 0, 0, 0, -439,   0,    0,   0},
      { 1, 0, 0, 1, 0,-18, 16,  0, 0, 0, 0, 0, 0,   57, -28,  -15, -30},
      {-2, 1, 1, 1, 0,  0,  1,  0,-2, 0, 0, 0, 0,    0,  -6,   -3,   0},
      { 0, 1,-1, 2, 0, -8, 12,  0, 0, 0, 0, 0, 0,   -4,   0,    0,   2},
      { 0, 0, 0, 1, 0, -8, 13,  0, 0, 0, 0, 0, 0,  -40,  57,   30,  21},

   /* 151-160 */
      { 0, 0, 0, 0, 0,  0,  1, -2, 0, 0, 0, 0, 1,   23,   7,    3, -13},
      { 0, 1,-1, 1, 0,  0,  0, -2, 0, 0, 0, 0, 0,  273,  80,   43,-146},
      { 0, 0, 0, 0, 0,  0,  1, -2, 0, 0, 0, 0, 0, -449, 430,    0,   0},
      { 0, 1,-1, 1, 0,  0, -2,  2, 0, 0, 0, 0, 0,   -8, -47,  -25,   4},
      { 0, 0, 0, 0, 0,  0, -1,  2, 0, 0, 0, 0, 1,    6,  47,   25,  -3},
      {-1, 0, 1, 1, 0,  3, -4,  0, 0, 0, 0, 0, 0,    0,  23,   13,   0},
      {-1, 0, 1, 1, 0,  0,  3, -4, 0, 0, 0, 0, 0,   -3,   0,    0,   2},
      { 0, 1,-1, 1, 0,  0, -1,  0, 0,-2, 0, 0, 0,    3,  -4,   -2,  -2},
      { 0, 1,-1, 1, 0,  0, -1,  0, 0, 2, 0, 0, 0,  -48,-110,  -59,  26},
      { 0, 0, 0, 0, 0,  0,  0,  0, 0, 2, 0, 0, 1,   51, 114,   61, -27},

   /* 161-170 */
      { 0, 0, 0, 0, 0,  0,  0,  0, 0, 2, 0, 0, 2, -133,   0,    0,  57},
      { 0, 1,-1, 0, 0,  3, -6,  0, 0, 0, 0, 0, 0,    0,   4,    0,   0},
      { 0, 0, 0, 1, 0, -3,  5,  0, 0, 0, 0, 0, 0,  -21,  -6,   -3,  11},
      { 0, 1,-1, 2, 0, -3,  4,  0, 0, 0, 0, 0, 0,    0,  -3,   -1,   0},
      { 0, 0, 0, 1, 0,  0, -2,  4, 0, 0, 0, 0, 0,  -11, -21,  -11,   6},
      { 0, 2,-2, 1, 0, -5,  6,  0, 0, 0, 0, 0, 0,  -18,-436, -233,   9},
      { 0,-1, 1, 0, 0,  5, -7,  0, 0, 0, 0, 0, 0,   35,  -7,    0,   0},
      { 0, 0, 0, 1, 0,  5, -8,  0, 0, 0, 0, 0, 0,    0,   5,    3,   0},
      {-2, 0, 2, 1, 0,  6, -8,  0, 0, 0, 0, 0, 0,   11,  -3,   -1,  -6},
      { 0, 0, 0, 1, 0,  0, -8, 15, 0, 0, 0, 0, 0,   -5,  -3,   -1,   3},

   /* 171-180 */
      {-2, 0, 2, 1, 0,  0,  2,  0,-3, 0, 0, 0, 0,  -53,  -9,   -5,  28},
      {-2, 0, 2, 1, 0,  0,  6, -8, 0, 0, 0, 0, 0,    0,   3,    2,   1},
      { 1, 0,-1, 1, 0,  0, -1,  0, 1, 0, 0, 0, 0,    4,   0,    0,  -2},
      { 0, 0, 0, 0, 0,  0,  0,  0, 3,-5, 0, 0, 0,    0,  -4,    0,   0},
      { 0, 1,-1, 1, 0,  0, -1,  0,-1, 0, 0, 0, 0,  -50, 194,  103,  27},
      { 0, 0, 0, 0, 0,  0,  0,  0,-1, 0, 0, 0, 1,  -13,  52,   28,   7},
      { 0, 0, 0, 0, 0,  0,  0,  0, 1, 0, 0, 0, 0,  -91, 248,    0,   0},
      { 0, 0, 0, 0, 0,  0,  0,  0, 1, 0, 0, 0, 1,    6,  49,   26,  -3},
      { 0, 1,-1, 1, 0,  0, -1,  0, 1, 0, 0, 0, 0,   -6, -47,  -25,   3},
      { 0, 0, 0, 0, 0,  0,  0,  0, 1, 0, 0, 0, 1,    0,   5,    3,   0},

   /* 181-190 */
      { 0, 0, 0, 0, 0,  0,  0,  0, 1, 0, 0, 0, 2,   52,  23,   10, -23},
      { 0, 1,-1, 2, 0,  0, -1,  0, 0,-1, 0, 0, 0,   -3,   0,    0,   1},
      { 0, 0, 0, 1, 0,  0,  0,  0, 0,-1, 0, 0, 0,    0,   5,    3,   0},
      { 0,-1, 1, 0, 0,  0,  1,  0, 0,-1, 0, 0, 0,   -4,   0,    0,   0},
      { 0, 0, 0, 0, 0,  0, -7, 13, 0, 0, 0, 0, 2,   -4,   8,    3,   2},
      { 0, 0, 0, 0, 0,  0,  7,-13, 0, 0, 0, 0, 0,   10,   0,    0,   0},
      { 2, 0,-2, 1, 0,  0, -5,  6, 0, 0, 0, 0, 0,    3,   0,    0,  -2},
      { 0, 2,-2, 1, 0,  0, -8, 11, 0, 0, 0, 0, 0,    0,   8,    4,   0},
      { 0, 2,-2, 1,-1,  0,  2,  0, 0, 0, 0, 0, 0,    0,   8,    4,   1},
      {-2, 0, 2, 0, 0,  0,  4, -4, 0, 0, 0, 0, 0,   -4,   0,    0,   0},

   /* 191-200 */
      { 0, 0, 0, 0, 0,  0,  0,  0, 2,-2, 0, 0, 0,   -4,   0,    0,   0},
      { 0, 1,-1, 1, 0,  0, -1,  0, 0, 3, 0, 0, 0,   -8,   4,    2,   4},
      { 0, 0, 0, 0, 0,  0,  0,  0, 0, 3, 0, 0, 1,    8,  -4,   -2,  -4},
      { 0, 0, 0, 0, 0,  0,  0,  0, 0, 3, 0, 0, 2,    0,  15,    7,   0},
      {-2, 0, 2, 0, 0,  3, -3,  0, 0, 0, 0, 0, 0, -138,   0,    0,   0},
      { 0, 0, 0, 2, 0,  0, -4,  8,-3, 0, 0, 0, 0,    0,  -7,   -3,   0},
      { 0, 0, 0, 2, 0,  0,  4, -8, 3, 0, 0, 0, 0,    0,  -7,   -3,   0},
      { 2, 0,-2, 1, 0,  0, -2,  0, 2, 0, 0, 0, 0,   54,   0,    0, -29},
      { 0, 1,-1, 2, 0,  0, -1,  0, 2, 0, 0, 0, 0,    0,  10,    4,   0},
      { 0, 1,-1, 2, 0,  0,  0, -2, 0, 0, 0, 0, 0,   -7,   0,    0,   3},

   /* 201-210 */
      { 0, 0, 0, 1, 0,  0,  1, -2, 0, 0, 0, 0, 0,  -37,  35,   19,  20},
      { 0,-1, 1, 0, 0,  0,  2, -2, 0, 0, 0, 0, 0,    0,   4,    0,   0},
      { 0,-1, 1, 0, 0,  0,  1,  0, 0,-2, 0, 0, 0,   -4,   9,    0,   0},
      { 0, 2,-2, 1, 0,  0, -2,  0, 0, 2, 0, 0, 0,    8,   0,    0,  -4},
      { 0, 1,-1, 1, 0,  3, -6,  0, 0, 0, 0, 0, 0,   -9, -14,   -8,   5},
      { 0, 0, 0, 0, 0,  3, -5,  0, 0, 0, 0, 0, 1,   -3,  -9,   -5,   3},
      { 0, 0, 0, 0, 0,  3, -5,  0, 0, 0, 0, 0, 0, -145,  47,    0,   0},
      { 0, 1,-1, 1, 0, -3,  4,  0, 0, 0, 0, 0, 0,  -10,  40,   21,   5},
      { 0, 0, 0, 0, 0, -3,  5,  0, 0, 0, 0, 0, 1,   11, -49,  -26,  -7},
      { 0, 0, 0, 0, 0, -3,  5,  0, 0, 0, 0, 0, 2,-2150,   0,    0, 932},

   /* 211-220 */
      { 0, 2,-2, 2, 0, -3,  3,  0, 0, 0, 0, 0, 0,  -12,   0,    0,   5},
      { 0, 0, 0, 0, 0, -3,  5,  0, 0, 0, 0, 0, 2,   85,   0,    0, -37},
      { 0, 0, 0, 0, 0,  0,  2, -4, 0, 0, 0, 0, 1,    4,   0,    0,  -2},
      { 0, 1,-1, 1, 0,  0,  1, -4, 0, 0, 0, 0, 0,    3,   0,    0,  -2},
      { 0, 0, 0, 0, 0,  0,  2, -4, 0, 0, 0, 0, 0,  -86, 153,    0,   0},
      { 0, 0, 0, 0, 0,  0, -2,  4, 0, 0, 0, 0, 1,   -6,   9,    5,   3},
      { 0, 1,-1, 1, 0,  0, -3,  4, 0, 0, 0, 0, 0,    9, -13,   -7,  -5},
      { 0, 0, 0, 0, 0,  0, -2,  4, 0, 0, 0, 0, 1,   -8,  12,    6,   4},
      { 0, 0, 0, 0, 0,  0, -2,  4, 0, 0, 0, 0, 2,  -51,   0,    0,  22},
      { 0, 0, 0, 0, 0, -5,  8,  0, 0, 0, 0, 0, 2,  -11,-268, -116,   5},

   /* 221-230 */
      { 0, 2,-2, 2, 0, -5,  6,  0, 0, 0, 0, 0, 0,    0,  12,    5,   0},
      { 0, 0, 0, 0, 0, -5,  8,  0, 0, 0, 0, 0, 2,    0,   7,    3,   0},
      { 0, 0, 0, 0, 0, -5,  8,  0, 0, 0, 0, 0, 1,   31,   6,    3, -17},
      { 0, 1,-1, 1, 0, -5,  7,  0, 0, 0, 0, 0, 0,  140,  27,   14, -75},
      { 0, 0, 0, 0, 0, -5,  8,  0, 0, 0, 0, 0, 1,   57,  11,    6, -30},
      { 0, 0, 0, 0, 0,  5, -8,  0, 0, 0, 0, 0, 0,  -14, -39,    0,   0},
      { 0, 1,-1, 2, 0,  0, -1,  0,-1, 0, 0, 0, 0,    0,  -6,   -2,   0},
      { 0, 0, 0, 1, 0,  0,  0,  0,-1, 0, 0, 0, 0,    4,  15,    8,  -2},
      { 0,-1, 1, 0, 0,  0,  1,  0,-1, 0, 0, 0, 0,    0,   4,    0,   0},
      { 0, 2,-2, 1, 0,  0, -2,  0, 1, 0, 0, 0, 0,   -3,   0,    0,   1},

   /* 231-240 */
      { 0, 0, 0, 0, 0,  0, -6, 11, 0, 0, 0, 0, 2,    0,  11,    5,   0},
      { 0, 0, 0, 0, 0,  0,  6,-11, 0, 0, 0, 0, 0,    9,   6,    0,   0},
      { 0, 0, 0, 0,-1,  0,  4,  0, 0, 0, 0, 0, 2,   -4,  10,    4,   2},
      { 0, 0, 0, 0, 1,  0, -4,  0, 0, 0, 0, 0, 0,    5,   3,    0,   0},
      { 2, 0,-2, 1, 0, -3,  3,  0, 0, 0, 0, 0, 0,   16,   0,    0,  -9},
      {-2, 0, 2, 0, 0,  0,  2,  0, 0,-2, 0, 0, 0,   -3,   0,    0,   0},
      { 0, 2,-2, 1, 0,  0, -7,  9, 0, 0, 0, 0, 0,    0,   3,    2,  -1},
      { 0, 0, 0, 0, 0,  0,  0,  0, 4,-5, 0, 0, 2,    7,   0,    0,  -3},
      { 0, 0, 0, 0, 0,  0,  0,  0, 2, 0, 0, 0, 0,  -25,  22,    0,   0},
      { 0, 0, 0, 0, 0,  0,  0,  0, 2, 0, 0, 0, 1,   42, 223,  119, -22},

   /* 241-250 */
      { 0, 1,-1, 1, 0,  0, -1,  0, 2, 0, 0, 0, 0,  -27,-143,  -77,  14},
      { 0, 0, 0, 0, 0,  0,  0,  0, 2, 0, 0, 0, 1,    9,  49,   26,  -5},
      { 0, 0, 0, 0, 0,  0,  0,  0, 2, 0, 0, 0, 2,-1166,   0,    0, 505},
      { 0, 2,-2, 2, 0,  0, -2,  0, 2, 0, 0, 0, 0,   -5,   0,    0,   2},
      { 0, 0, 0, 0, 0,  0,  0,  0, 0, 5, 0, 0, 2,   -6,   0,    0,   3},
      { 0, 0, 0, 1, 0,  3, -5,  0, 0, 0, 0, 0, 0,   -8,   0,    1,   4},
      { 0,-1, 1, 0, 0,  3, -4,  0, 0, 0, 0, 0, 0,    0,  -4,    0,   0},
      { 0, 2,-2, 1, 0, -3,  3,  0, 0, 0, 0, 0, 0,  117,   0,    0, -63},
      { 0, 0, 0, 1, 0,  0,  2, -4, 0, 0, 0, 0, 0,   -4,   8,    4,   2},
      { 0, 2,-2, 1, 0,  0, -4,  4, 0, 0, 0, 0, 0,    3,   0,    0,  -2},

   /* 251-260 */
      { 0, 1,-1, 2, 0, -5,  7,  0, 0, 0, 0, 0, 0,   -5,   0,    0,   2},
      { 0, 0, 0, 0, 0,  0,  3, -6, 0, 0, 0, 0, 0,    0,  31,    0,   0},
      { 0, 0, 0, 0, 0,  0, -3,  6, 0, 0, 0, 0, 1,   -5,   0,    1,   3},
      { 0, 1,-1, 1, 0,  0, -4,  6, 0, 0, 0, 0, 0,    4,   0,    0,  -2},
      { 0, 0, 0, 0, 0,  0, -3,  6, 0, 0, 0, 0, 1,   -4,   0,    0,   2},
      { 0, 0, 0, 0, 0,  0, -3,  6, 0, 0, 0, 0, 2,  -24, -13,   -6,  10},
      { 0,-1, 1, 0, 0,  2, -2,  0, 0, 0, 0, 0, 0,    3,   0,    0,   0},
      { 0, 0, 0, 1, 0,  2, -3,  0, 0, 0, 0, 0, 0,    0, -32,  -17,   0},
      { 0, 0, 0, 0, 0,  0, -5,  9, 0, 0, 0, 0, 2,    8,  12,    5,  -3},
      { 0, 0, 0, 0, 0,  0, -5,  9, 0, 0, 0, 0, 1,    3,   0,    0,  -1},

   /* 261-270 */
      { 0, 0, 0, 0, 0,  0,  5, -9, 0, 0, 0, 0, 0,    7,  13,    0,   0},
      { 0,-1, 1, 0, 0,  0,  1,  0,-2, 0, 0, 0, 0,   -3,  16,    0,   0},
      { 0, 2,-2, 1, 0,  0, -2,  0, 2, 0, 0, 0, 0,   50,   0,    0, -27},
      {-2, 1, 1, 1, 0,  0,  1,  0, 0, 0, 0, 0, 0,    0,  -5,   -3,   0},
      { 0,-2, 2, 0, 0,  3, -3,  0, 0, 0, 0, 0, 0,   13,   0,    0,   0},
      { 0, 0, 0, 0, 0, -6, 10,  0, 0, 0, 0, 0, 1,    0,   5,    3,   1},
      { 0, 0, 0, 0, 0, -6, 10,  0, 0, 0, 0, 0, 2,   24,   5,    2, -11},
      { 0, 0, 0, 0, 0, -2,  3,  0, 0, 0, 0, 0, 2,    5, -11,   -5,  -2},
      { 0, 0, 0, 0, 0, -2,  3,  0, 0, 0, 0, 0, 1,   30,  -3,   -2, -16},
      { 0, 1,-1, 1, 0, -2,  2,  0, 0, 0, 0, 0, 0,   18,   0,    0,  -9},

   /* 271-280 */
      { 0, 0, 0, 0, 0,  2, -3,  0, 0, 0, 0, 0, 0,    8, 614,    0,   0},
      { 0, 0, 0, 0, 0,  2, -3,  0, 0, 0, 0, 0, 1,    3,  -3,   -1,  -2},
      { 0, 0, 0, 0, 0,  0,  0,  0, 3, 0, 0, 0, 1,    6,  17,    9,  -3},
      { 0, 1,-1, 1, 0,  0, -1,  0, 3, 0, 0, 0, 0,   -3,  -9,   -5,   2},
      { 0, 0, 0, 0, 0,  0,  0,  0, 3, 0, 0, 0, 1,    0,   6,    3,  -1},
      { 0, 0, 0, 0, 0,  0,  0,  0, 3, 0, 0, 0, 2, -127,  21,    9,  55},
      { 0, 0, 0, 0, 0,  0,  4, -8, 0, 0, 0, 0, 0,    3,   5,    0,   0},
      { 0, 0, 0, 0, 0,  0, -4,  8, 0, 0, 0, 0, 2,   -6, -10,   -4,   3},
      { 0,-2, 2, 0, 0,  0,  2,  0,-2, 0, 0, 0, 0,    5,   0,    0,   0},
      { 0, 0, 0, 0, 0,  0, -4,  7, 0, 0, 0, 0, 2,   16,   9,    4,  -7},

   /* 281-290 */
      { 0, 0, 0, 0, 0,  0, -4,  7, 0, 0, 0, 0, 1,    3,   0,    0,  -2},
      { 0, 0, 0, 0, 0,  0,  4, -7, 0, 0, 0, 0, 0,    0,  22,    0,   0},
      { 0, 0, 0, 1, 0, -2,  3,  0, 0, 0, 0, 0, 0,    0,  19,   10,   0},
      { 0, 2,-2, 1, 0,  0, -2,  0, 3, 0, 0, 0, 0,    7,   0,    0,  -4},
      { 0, 0, 0, 0, 0,  0, -5, 10, 0, 0, 0, 0, 2,    0,  -5,   -2,   0},
      { 0, 0, 0, 1, 0, -1,  2,  0, 0, 0, 0, 0, 0,    0,   3,    1,   0},
      { 0, 0, 0, 0, 0,  0,  0,  0, 4, 0, 0, 0, 2,   -9,   3,    1,   4},
      { 0, 0, 0, 0, 0,  0, -3,  5, 0, 0, 0, 0, 2,   17,   0,    0,  -7},
      { 0, 0, 0, 0, 0,  0, -3,  5, 0, 0, 0, 0, 1,    0,  -3,   -2,  -1},
      { 0, 0, 0, 0, 0,  0,  3, -5, 0, 0, 0, 0, 0,  -20,  34,    0,   0},

   /* 291-300 */
      { 0, 0, 0, 0, 0,  1, -2,  0, 0, 0, 0, 0, 1,  -10,   0,    1,   5},
      { 0, 1,-1, 1, 0,  1, -3,  0, 0, 0, 0, 0, 0,   -4,   0,    0,   2},
      { 0, 0, 0, 0, 0,  1, -2,  0, 0, 0, 0, 0, 0,   22, -87,    0,   0},
      { 0, 0, 0, 0, 0, -1,  2,  0, 0, 0, 0, 0, 1,   -4,   0,    0,   2},
      { 0, 0, 0, 0, 0, -1,  2,  0, 0, 0, 0, 0, 2,   -3,  -6,   -2,   1},
      { 0, 0, 0, 0, 0, -7, 11,  0, 0, 0, 0, 0, 2,  -16,  -3,   -1,   7},
      { 0, 0, 0, 0, 0, -7, 11,  0, 0, 0, 0, 0, 1,    0,  -3,   -2,   0},
      { 0,-2, 2, 0, 0,  4, -4,  0, 0, 0, 0, 0, 0,    4,   0,    0,   0},
      { 0, 0, 0, 0, 0,  0,  2, -3, 0, 0, 0, 0, 0,  -68,  39,    0,   0},
      { 0, 2,-2, 1, 0, -4,  4,  0, 0, 0, 0, 0, 0,   27,   0,    0, -14},

   /* 301-310 */
      { 0,-1, 1, 0, 0,  4, -5,  0, 0, 0, 0, 0, 0,    0,  -4,    0,   0},
      { 0, 0, 0, 0, 0,  0,  1, -1, 0, 0, 0, 0, 0,  -25,   0,    0,   0},
      { 0, 0, 0, 0, 0, -4,  7,  0, 0, 0, 0, 0, 1,  -12,  -3,   -2,   6},
      { 0, 1,-1, 1, 0, -4,  6,  0, 0, 0, 0, 0, 0,    3,   0,    0,  -1},
      { 0, 0, 0, 0, 0, -4,  7,  0, 0, 0, 0, 0, 2,    3,  66,   29,  -1},
      { 0, 0, 0, 0, 0, -4,  6,  0, 0, 0, 0, 0, 2,  490,   0,    0,-213},
      { 0, 0, 0, 0, 0, -4,  6,  0, 0, 0, 0, 0, 1,  -22,  93,   49,  12},
      { 0, 1,-1, 1, 0, -4,  5,  0, 0, 0, 0, 0, 0,   -7,  28,   15,   4},
      { 0, 0, 0, 0, 0, -4,  6,  0, 0, 0, 0, 0, 1,   -3,  13,    7,   2},
      { 0, 0, 0, 0, 0,  4, -6,  0, 0, 0, 0, 0, 0,  -46,  14,    0,   0},

   /* 311-320 */
      {-2, 0, 2, 0, 0,  2, -2,  0, 0, 0, 0, 0, 0,   -5,   0,    0,   0},
      { 0, 0, 0, 0, 0,  0,  0,  1, 0, 0, 0, 0, 0,    2,   1,    0,   0},
      { 0,-1, 1, 0, 0,  1,  0,  0, 0, 0, 0, 0, 0,    0,  -3,    0,   0},
      { 0, 0, 0, 1, 0,  1, -1,  0, 0, 0, 0, 0, 0,  -28,   0,    0,  15},
      { 0, 0, 0, 0, 0,  0, -1,  0, 5, 0, 0, 0, 2,    5,   0,    0,  -2},
      { 0, 0, 0, 0, 0,  0,  1, -3, 0, 0, 0, 0, 0,    0,   3,    0,   0},
      { 0, 0, 0, 0, 0,  0, -1,  3, 0, 0, 0, 0, 2,  -11,   0,    0,   5},
      { 0, 0, 0, 0, 0,  0, -7, 12, 0, 0, 0, 0, 2,    0,   3,    1,   0},
      { 0, 0, 0, 0, 0, -1,  1,  0, 0, 0, 0, 0, 2,   -3,   0,    0,   1},
      { 0, 0, 0, 0, 0, -1,  1,  0, 0, 0, 0, 0, 1,   25, 106,   57, -13},

   /* 321-330 */
      { 0, 1,-1, 1, 0, -1,  0,  0, 0, 0, 0, 0, 0,    5,  21,   11,  -3},
      { 0, 0, 0, 0, 0,  1, -1,  0, 0, 0, 0, 0, 0, 1485,   0,    0,   0},
      { 0, 0, 0, 0, 0,  1, -1,  0, 0, 0, 0, 0, 1,   -7, -32,  -17,   4},
      { 0, 1,-1, 1, 0,  1, -2,  0, 0, 0, 0, 0, 0,    0,   5,    3,   0},
      { 0, 0, 0, 0, 0,  0, -2,  5, 0, 0, 0, 0, 2,   -6,  -3,   -2,   3},
      { 0, 0, 0, 0, 0,  0, -1,  0, 4, 0, 0, 0, 2,   30,  -6,   -2, -13},
      { 0, 0, 0, 0, 0,  0,  1,  0,-4, 0, 0, 0, 0,   -4,   4,    0,   0},
      { 0, 0, 0, 1, 0, -1,  1,  0, 0, 0, 0, 0, 0,  -19,   0,    0,  10},
      { 0, 0, 0, 0, 0,  0, -6, 10, 0, 0, 0, 0, 2,    0,   4,    2,  -1},
      { 0, 0, 0, 0, 0,  0, -6, 10, 0, 0, 0, 0, 0,    0,   3,    0,   0},

   /* 331-340 */
      { 0, 2,-2, 1, 0,  0, -3,  0, 3, 0, 0, 0, 0,    4,   0,    0,  -2},
      { 0, 0, 0, 0, 0,  0, -3,  7, 0, 0, 0, 0, 2,    0,  -3,   -1,   0},
      {-2, 0, 2, 0, 0,  4, -4,  0, 0, 0, 0, 0, 0,   -3,   0,    0,   0},
      { 0, 0, 0, 0, 0,  0, -5,  8, 0, 0, 0, 0, 2,    5,   3,    1,  -2},
      { 0, 0, 0, 0, 0,  0,  5, -8, 0, 0, 0, 0, 0,    0,  11,    0,   0},
      { 0, 0, 0, 0, 0,  0, -1,  0, 3, 0, 0, 0, 2,  118,   0,    0, -52},
      { 0, 0, 0, 0, 0,  0, -1,  0, 3, 0, 0, 0, 1,    0,  -5,   -3,   0},
      { 0, 0, 0, 0, 0,  0,  1,  0,-3, 0, 0, 0, 0,  -28,  36,    0,   0},
      { 0, 0, 0, 0, 0,  2, -4,  0, 0, 0, 0, 0, 0,    5,  -5,    0,   0},
      { 0, 0, 0, 0, 0, -2,  4,  0, 0, 0, 0, 0, 1,   14, -59,  -31,  -8},

   /* 341-350 */
      { 0, 1,-1, 1, 0, -2,  3,  0, 0, 0, 0, 0, 0,    0,   9,    5,   1},
      { 0, 0, 0, 0, 0, -2,  4,  0, 0, 0, 0, 0, 2, -458,   0,    0, 198},
      { 0, 0, 0, 0, 0, -6,  9,  0, 0, 0, 0, 0, 2,    0, -45,  -20,   0},
      { 0, 0, 0, 0, 0, -6,  9,  0, 0, 0, 0, 0, 1,    9,   0,    0,  -5},
      { 0, 0, 0, 0, 0,  6, -9,  0, 0, 0, 0, 0, 0,    0,  -3,    0,   0},
      { 0, 0, 0, 1, 0,  0,  1,  0,-2, 0, 0, 0, 0,    0,  -4,   -2,  -1},
      { 0, 2,-2, 1, 0, -2,  2,  0, 0, 0, 0, 0, 0,   11,   0,    0,  -6},
      { 0, 0, 0, 0, 0,  0, -4,  6, 0, 0, 0, 0, 2,    6,   0,    0,  -2},
      { 0, 0, 0, 0, 0,  0,  4, -6, 0, 0, 0, 0, 0,  -16,  23,    0,   0},
      { 0, 0, 0, 1, 0,  3, -4,  0, 0, 0, 0, 0, 0,    0,  -4,   -2,   0},

   /* 351-360 */
      { 0, 0, 0, 0, 0,  0, -1,  0, 2, 0, 0, 0, 2,   -5,   0,    0,   2},
      { 0, 0, 0, 0, 0,  0,  1,  0,-2, 0, 0, 0, 0, -166, 269,    0,   0},
      { 0, 0, 0, 1, 0,  0,  1,  0,-1, 0, 0, 0, 0,   15,   0,    0,  -8},
      { 0, 0, 0, 0, 0, -5,  9,  0, 0, 0, 0, 0, 2,   10,   0,    0,  -4},
      { 0, 0, 0, 0, 0,  0,  3, -4, 0, 0, 0, 0, 0,  -78,  45,    0,   0},
      { 0, 0, 0, 0, 0, -3,  4,  0, 0, 0, 0, 0, 2,    0,  -5,   -2,   0},
      { 0, 0, 0, 0, 0, -3,  4,  0, 0, 0, 0, 0, 1,    7,   0,    0,  -4},
      { 0, 0, 0, 0, 0,  3, -4,  0, 0, 0, 0, 0, 0,   -5, 328,    0,   0},
      { 0, 0, 0, 0, 0,  3, -4,  0, 0, 0, 0, 0, 1,    3,   0,    0,  -2},
      { 0, 0, 0, 1, 0,  0,  2, -2, 0, 0, 0, 0, 0,    5,   0,    0,  -2},

   /* 361-370 */
      { 0, 0, 0, 1, 0,  0, -1,  0, 2, 0, 0, 0, 0,    0,   3,    1,   0},
      { 0, 0, 0, 0, 0,  0,  1,  0, 0,-3, 0, 0, 0,   -3,   0,    0,   0},
      { 0, 0, 0, 0, 0,  0,  1,  0, 1,-5, 0, 0, 0,   -3,   0,    0,   0},
      { 0, 0, 0, 0, 0,  0, -1,  0, 1, 0, 0, 0, 1,    0,  -4,   -2,   0},
      { 0, 0, 0, 0, 0,  0,  1,  0,-1, 0, 0, 0, 0,-1223, -26,    0,   0},
      { 0, 0, 0, 0, 0,  0,  1,  0,-1, 0, 0, 0, 1,    0,   7,    3,   0},
      { 0, 0, 0, 0, 0,  0,  1,  0,-3, 5, 0, 0, 0,    3,   0,    0,   0},
      { 0, 0, 0, 1, 0, -3,  4,  0, 0, 0, 0, 0, 0,    0,   3,    2,   0},
      { 0, 0, 0, 0, 0,  0,  1,  0, 0,-2, 0, 0, 0,   -6,  20,    0,   0},
      { 0, 0, 0, 0, 0,  0,  2, -2, 0, 0, 0, 0, 0, -368,   0,    0,   0},

   /* 371-380 */
      { 0, 0, 0, 0, 0,  0,  1,  0, 0,-1, 0, 0, 0,  -75,   0,    0,   0},
      { 0, 0, 0, 1, 0,  0, -1,  0, 1, 0, 0, 0, 0,   11,   0,    0,  -6},
      { 0, 0, 0, 1, 0,  0, -2,  2, 0, 0, 0, 0, 0,    3,   0,    0,  -2},
      { 0, 0, 0, 0, 0, -8, 14,  0, 0, 0, 0, 0, 2,   -3,   0,    0,   1},
      { 0, 0, 0, 0, 0,  0,  1,  0, 2,-5, 0, 0, 0,  -13, -30,    0,   0},
      { 0, 0, 0, 0, 0,  0,  5, -8, 3, 0, 0, 0, 0,   21,   3,    0,   0},
      { 0, 0, 0, 0, 0,  0,  5, -8, 3, 0, 0, 0, 2,   -3,   0,    0,   1},
      { 0, 0, 0, 0, 0,  0, -1,  0, 0, 0, 0, 0, 1,   -4,   0,    0,   2},
      { 0, 0, 0, 0, 0,  0,  1,  0, 0, 0, 0, 0, 0,    8, -27,    0,   0},
      { 0, 0, 0, 0, 0,  0,  3, -8, 3, 0, 0, 0, 0,  -19, -11,    0,   0},

   /* 381-390 */
      { 0, 0, 0, 0, 0,  0, -3,  8,-3, 0, 0, 0, 2,   -4,   0,    0,   2},
      { 0, 0, 0, 0, 0,  0,  1,  0,-2, 5, 0, 0, 2,    0,   5,    2,   0},
      { 0, 0, 0, 0, 0, -8, 12,  0, 0, 0, 0, 0, 2,   -6,   0,    0,   2},
      { 0, 0, 0, 0, 0, -8, 12,  0, 0, 0, 0, 0, 0,   -8,   0,    0,   0},
      { 0, 0, 0, 0, 0,  0,  1,  0, 1,-2, 0, 0, 0,   -1,   0,    0,   0},
      { 0, 0, 0, 0, 0,  0,  1,  0, 0, 1, 0, 0, 2,  -14,   0,    0,   6},
      { 0, 0, 0, 0, 0,  0,  0,  2, 0, 0, 0, 0, 0,    6,   0,    0,   0},
      { 0, 0, 0, 0, 0,  0,  0,  2, 0, 0, 0, 0, 2,  -74,   0,    0,  32},
      { 0, 0, 0, 0, 0,  0,  1,  0, 0, 2, 0, 0, 2,    0,  -3,   -1,   0},
      { 0, 2,-2, 1, 0, -5,  5,  0, 0, 0, 0, 0, 0,    4,   0,    0,  -2},

   /* 391-400 */
      { 0, 0, 0, 0, 0,  0,  1,  0, 1, 0, 0, 0, 0,    8,  11,    0,   0},
      { 0, 0, 0, 0, 0,  0,  1,  0, 1, 0, 0, 0, 1,    0,   3,    2,   0},
      { 0, 0, 0, 0, 0,  0,  1,  0, 1, 0, 0, 0, 2, -262,   0,    0, 114},
      { 0, 0, 0, 0, 0,  3, -6,  0, 0, 0, 0, 0, 0,    0,  -4,    0,   0},
      { 0, 0, 0, 0, 0, -3,  6,  0, 0, 0, 0, 0, 1,   -7,   0,    0,   4},
      { 0, 0, 0, 0, 0, -3,  6,  0, 0, 0, 0, 0, 2,    0, -27,  -12,   0},
      { 0, 0, 0, 0, 0,  0, -1,  4, 0, 0, 0, 0, 2,  -19,  -8,   -4,   8},
      { 0, 0, 0, 0, 0, -5,  7,  0, 0, 0, 0, 0, 2,  202,   0,    0, -87},
      { 0, 0, 0, 0, 0, -5,  7,  0, 0, 0, 0, 0, 1,   -8,  35,   19,   5},
      { 0, 1,-1, 1, 0, -5,  6,  0, 0, 0, 0, 0, 0,    0,   4,    2,   0},

   /* 401-410 */
      { 0, 0, 0, 0, 0,  5, -7,  0, 0, 0, 0, 0, 0,   16,  -5,    0,   0},
      { 0, 2,-2, 1, 0,  0, -1,  0, 1, 0, 0, 0, 0,    5,   0,    0,  -3},
      { 0, 0, 0, 0, 0,  0, -1,  0, 1, 0, 0, 0, 0,    0,  -3,    0,   0},
      { 0, 0, 0, 0,-1,  0,  3,  0, 0, 0, 0, 0, 2,    1,   0,    0,   0},
      { 0, 0, 0, 0, 0,  0,  1,  0, 2, 0, 0, 0, 2,  -35, -48,  -21,  15},
      { 0, 0, 0, 0, 0,  0, -2,  6, 0, 0, 0, 0, 2,   -3,  -5,   -2,   1},
      { 0, 0, 0, 1, 0,  2, -2,  0, 0, 0, 0, 0, 0,    6,   0,    0,  -3},
      { 0, 0, 0, 0, 0,  0, -6,  9, 0, 0, 0, 0, 2,    3,   0,    0,  -1},
      { 0, 0, 0, 0, 0,  0,  6, -9, 0, 0, 0, 0, 0,    0,  -5,    0,   0},
      { 0, 0, 0, 0, 0, -2,  2,  0, 0, 0, 0, 0, 1,   12,  55,   29,  -6},

   /* 411-420 */
      { 0, 1,-1, 1, 0, -2,  1,  0, 0, 0, 0, 0, 0,    0,   5,    3,   0},
      { 0, 0, 0, 0, 0,  2, -2,  0, 0, 0, 0, 0, 0, -598,   0,    0,   0},
      { 0, 0, 0, 0, 0,  2, -2,  0, 0, 0, 0, 0, 1,   -3, -13,   -7,   1},
      { 0, 0, 0, 0, 0,  0,  1,  0, 3, 0, 0, 0, 2,   -5,  -7,   -3,   2},
      { 0, 0, 0, 0, 0,  0, -5,  7, 0, 0, 0, 0, 2,    3,   0,    0,  -1},
      { 0, 0, 0, 0, 0,  0,  5, -7, 0, 0, 0, 0, 0,    5,  -7,    0,   0},
      { 0, 0, 0, 1, 0, -2,  2,  0, 0, 0, 0, 0, 0,    4,   0,    0,  -2},
      { 0, 0, 0, 0, 0,  0,  4, -5, 0, 0, 0, 0, 0,   16,  -6,    0,   0},
      { 0, 0, 0, 0, 0,  1, -3,  0, 0, 0, 0, 0, 0,    8,  -3,    0,   0},
      { 0, 0, 0, 0, 0, -1,  3,  0, 0, 0, 0, 0, 1,    8, -31,  -16,  -4},

   /* 421-430 */
      { 0, 1,-1, 1, 0, -1,  2,  0, 0, 0, 0, 0, 0,    0,   3,    1,   0},
      { 0, 0, 0, 0, 0, -1,  3,  0, 0, 0, 0, 0, 2,  113,   0,    0, -49},
      { 0, 0, 0, 0, 0, -7, 10,  0, 0, 0, 0, 0, 2,    0, -24,  -10,   0},
      { 0, 0, 0, 0, 0, -7, 10,  0, 0, 0, 0, 0, 1,    4,   0,    0,  -2},
      { 0, 0, 0, 0, 0,  0,  3, -3, 0, 0, 0, 0, 0,   27,   0,    0,   0},
      { 0, 0, 0, 0, 0, -4,  8,  0, 0, 0, 0, 0, 2,   -3,   0,    0,   1},
      { 0, 0, 0, 0, 0, -4,  5,  0, 0, 0, 0, 0, 2,    0,  -4,   -2,   0},
      { 0, 0, 0, 0, 0, -4,  5,  0, 0, 0, 0, 0, 1,    5,   0,    0,  -2},
      { 0, 0, 0, 0, 0,  4, -5,  0, 0, 0, 0, 0, 0,    0,  -3,    0,   0},
      { 0, 0, 0, 0, 0,  0,  1,  1, 0, 0, 0, 0, 2,  -13,   0,    0,   6},

   /* 431-440 */
      { 0, 0, 0, 0, 0,  0, -2,  0, 5, 0, 0, 0, 2,    5,   0,    0,  -2},
      { 0, 0, 0, 0, 0,  0,  0,  3, 0, 0, 0, 0, 2,  -18, -10,   -4,   8},
      { 0, 0, 0, 0, 0,  1,  0,  0, 0, 0, 0, 0, 0,   -4, -28,    0,   0},
      { 0, 0, 0, 0, 0,  1,  0,  0, 0, 0, 0, 0, 2,   -5,   6,    3,   2},
      { 0, 0, 0, 0, 0, -9, 13,  0, 0, 0, 0, 0, 2,   -3,   0,    0,   1},
      { 0, 0, 0, 0, 0,  0, -1,  5, 0, 0, 0, 0, 2,   -5,  -9,   -4,   2},
      { 0, 0, 0, 0, 0,  0, -2,  0, 4, 0, 0, 0, 2,   17,   0,    0,  -7},
      { 0, 0, 0, 0, 0,  0,  2,  0,-4, 0, 0, 0, 0,   11,   4,    0,   0},
      { 0, 0, 0, 0, 0,  0, -2,  7, 0, 0, 0, 0, 2,    0,  -6,   -2,   0},
      { 0, 0, 0, 0, 0,  0,  2,  0,-3, 0, 0, 0, 0,   83,  15,    0,   0},

   /* 441-450 */
      { 0, 0, 0, 0, 0, -2,  5,  0, 0, 0, 0, 0, 1,   -4,   0,    0,   2},
      { 0, 0, 0, 0, 0, -2,  5,  0, 0, 0, 0, 0, 2,    0,-114,  -49,   0},
      { 0, 0, 0, 0, 0, -6,  8,  0, 0, 0, 0, 0, 2,  117,   0,    0, -51},
      { 0, 0, 0, 0, 0, -6,  8,  0, 0, 0, 0, 0, 1,   -5,  19,   10,   2},
      { 0, 0, 0, 0, 0,  6, -8,  0, 0, 0, 0, 0, 0,   -3,   0,    0,   0},
      { 0, 0, 0, 1, 0,  0,  2,  0,-2, 0, 0, 0, 0,   -3,   0,    0,   2},
      { 0, 0, 0, 0, 0,  0, -3,  9, 0, 0, 0, 0, 2,    0,  -3,   -1,   0},
      { 0, 0, 0, 0, 0,  0,  5, -6, 0, 0, 0, 0, 0,    3,   0,    0,   0},
      { 0, 0, 0, 0, 0,  0,  5, -6, 0, 0, 0, 0, 2,    0,  -6,   -2,   0},
      { 0, 0, 0, 0, 0,  0,  2,  0,-2, 0, 0, 0, 0,  393,   3,    0,   0},

   /* 451-460 */
      { 0, 0, 0, 0, 0,  0,  2,  0,-2, 0, 0, 0, 1,   -4,  21,   11,   2},
      { 0, 0, 0, 0, 0,  0,  2,  0,-2, 0, 0, 0, 2,   -6,   0,   -1,   3},
      { 0, 0, 0, 0, 0, -5, 10,  0, 0, 0, 0, 0, 2,   -3,   8,    4,   1},
      { 0, 0, 0, 0, 0,  0,  4, -4, 0, 0, 0, 0, 0,    8,   0,    0,   0},
      { 0, 0, 0, 0, 0,  0,  4, -4, 0, 0, 0, 0, 2,   18, -29,  -13,  -8},
      { 0, 0, 0, 0, 0, -3,  3,  0, 0, 0, 0, 0, 1,    8,  34,   18,  -4},
      { 0, 0, 0, 0, 0,  3, -3,  0, 0, 0, 0, 0, 0,   89,   0,    0,   0},
      { 0, 0, 0, 0, 0,  3, -3,  0, 0, 0, 0, 0, 1,    3,  12,    6,  -1},
      { 0, 0, 0, 0, 0,  3, -3,  0, 0, 0, 0, 0, 2,   54, -15,   -7, -24},
      { 0, 0, 0, 0, 0,  0,  2,  0, 0,-3, 0, 0, 0,    0,   3,    0,   0},

   /* 461-470 */
      { 0, 0, 0, 0, 0,  0, -5, 13, 0, 0, 0, 0, 2,    3,   0,    0,  -1},
      { 0, 0, 0, 0, 0,  0,  2,  0,-1, 0, 0, 0, 0,    0,  35,    0,   0},
      { 0, 0, 0, 0, 0,  0,  2,  0,-1, 0, 0, 0, 2, -154, -30,  -13,  67},
      { 0, 0, 0, 0, 0,  0,  2,  0, 0,-2, 0, 0, 0,   15,   0,    0,   0},
      { 0, 0, 0, 0, 0,  0,  2,  0, 0,-2, 0, 0, 1,    0,   4,    2,   0},
      { 0, 0, 0, 0, 0,  0,  3, -2, 0, 0, 0, 0, 0,    0,   9,    0,   0},
      { 0, 0, 0, 0, 0,  0,  3, -2, 0, 0, 0, 0, 2,   80, -71,  -31, -35},
      { 0, 0, 0, 0, 0,  0,  2,  0, 0,-1, 0, 0, 2,    0, -20,   -9,   0},
      { 0, 0, 0, 0, 0,  0, -6, 15, 0, 0, 0, 0, 2,   11,   5,    2,  -5},
      { 0, 0, 0, 0, 0, -8, 15,  0, 0, 0, 0, 0, 2,   61, -96,  -42, -27},

   /* 471-480 */
      { 0, 0, 0, 0, 0, -3,  9, -4, 0, 0, 0, 0, 2,   14,   9,    4,  -6},
      { 0, 0, 0, 0, 0,  0,  2,  0, 2,-5, 0, 0, 2,  -11,  -6,   -3,   5},
      { 0, 0, 0, 0, 0,  0, -2,  8,-1,-5, 0, 0, 2,    0,  -3,   -1,   0},
      { 0, 0, 0, 0, 0,  0,  6, -8, 3, 0, 0, 0, 2,  123,-415, -180, -53},
      { 0, 0, 0, 0, 0,  0,  2,  0, 0, 0, 0, 0, 0,    0,   0,    0, -35},
      { 0, 0, 0, 0, 0,  0,  2,  0, 0, 0, 0, 0, 0,   -5,   0,    0,   0},
      { 0, 0, 0, 0, 0,  0,  2,  0, 0, 0, 0, 0, 1,    7, -32,  -17,  -4},
      { 0, 1,-1, 1, 0,  0,  1,  0, 0, 0, 0, 0, 0,    0,  -9,   -5,   0},
      { 0, 0, 0, 0, 0,  0,  2,  0, 0, 0, 0, 0, 1,    0,  -4,    2,   0},
      { 0, 0, 0, 0, 0,  0,  2,  0, 0, 0, 0, 0, 2,  -89,   0,    0,  38},

   /* 481-490 */
      { 0, 0, 0, 0, 0,  0, -6, 16,-4,-5, 0, 0, 2,    0, -86,  -19,  -6},
      { 0, 0, 0, 0, 0,  0, -2,  8,-3, 0, 0, 0, 2,    0,   0,  -19,   6},
      { 0, 0, 0, 0, 0,  0, -2,  8,-3, 0, 0, 0, 2, -123,-416, -180,  53},
      { 0, 0, 0, 0, 0,  0,  6, -8, 1, 5, 0, 0, 2,    0,  -3,   -1,   0},
      { 0, 0, 0, 0, 0,  0,  2,  0,-2, 5, 0, 0, 2,   12,  -6,   -3,  -5},
      { 0, 0, 0, 0, 0,  3, -5,  4, 0, 0, 0, 0, 2,  -13,   9,    4,   6},
      { 0, 0, 0, 0, 0, -8, 11,  0, 0, 0, 0, 0, 2,    0, -15,   -7,   0},
      { 0, 0, 0, 0, 0, -8, 11,  0, 0, 0, 0, 0, 1,    3,   0,    0,  -1},
      { 0, 0, 0, 0, 0, -8, 11,  0, 0, 0, 0, 0, 2,  -62, -97,  -42,  27},
      { 0, 0, 0, 0, 0,  0, 11,  0, 0, 0, 0, 0, 2,  -11,   5,    2,   5},

   /* 491-500 */
      { 0, 0, 0, 0, 0,  0,  2,  0, 0, 1, 0, 0, 2,    0, -19,   -8,   0},
      { 0, 0, 0, 0, 0,  3, -3,  0, 2, 0, 0, 0, 2,   -3,   0,    0,   1},
      { 0, 2,-2, 1, 0,  0,  4, -8, 3, 0, 0, 0, 0,    0,   4,    2,   0},
      { 0, 1,-1, 0, 0,  0,  1,  0, 0, 0, 0, 0, 0,    0,   3,    0,   0},
      { 0, 2,-2, 1, 0,  0, -4,  8,-3, 0, 0, 0, 0,    0,   4,    2,   0},
      { 0, 0, 0, 0, 0,  0,  1,  2, 0, 0, 0, 0, 2,  -85, -70,  -31,  37},
      { 0, 0, 0, 0, 0,  0,  2,  0, 1, 0, 0, 0, 2,  163, -12,   -5, -72},
      { 0, 0, 0, 0, 0, -3,  7,  0, 0, 0, 0, 0, 2,  -63, -16,   -7,  28},
      { 0, 0, 0, 0, 0,  0,  0,  4, 0, 0, 0, 0, 2,  -21, -32,  -14,   9},
      { 0, 0, 0, 0, 0, -5,  6,  0, 0, 0, 0, 0, 2,    0,  -3,   -1,   0},

   /* 501-510 */
      { 0, 0, 0, 0, 0, -5,  6,  0, 0, 0, 0, 0, 1,    3,   0,    0,  -2},
      { 0, 0, 0, 0, 0,  5, -6,  0, 0, 0, 0, 0, 0,    0,   8,    0,   0},
      { 0, 0, 0, 0, 0,  5, -6,  0, 0, 0, 0, 0, 2,    3,  10,    4,  -1},
      { 0, 0, 0, 0, 0,  0,  2,  0, 2, 0, 0, 0, 2,    3,   0,    0,  -1},
      { 0, 0, 0, 0, 0,  0, -1,  6, 0, 0, 0, 0, 2,    0,  -7,   -3,   0},
      { 0, 0, 0, 0, 0,  0,  7, -9, 0, 0, 0, 0, 2,    0,  -4,   -2,   0},
      { 0, 0, 0, 0, 0,  2, -1,  0, 0, 0, 0, 0, 0,    6,  19,    0,   0},
      { 0, 0, 0, 0, 0,  2, -1,  0, 0, 0, 0, 0, 2,    5,-173,  -75,  -2},
      { 0, 0, 0, 0, 0,  0,  6, -7, 0, 0, 0, 0, 2,    0,  -7,   -3,   0},
      { 0, 0, 0, 0, 0,  0,  5, -5, 0, 0, 0, 0, 2,    7, -12,   -5,  -3},

   /* 511-520 */
      { 0, 0, 0, 0, 0, -1,  4,  0, 0, 0, 0, 0, 1,   -3,   0,    0,   2},
      { 0, 0, 0, 0, 0, -1,  4,  0, 0, 0, 0, 0, 2,    3,  -4,   -2,  -1},
      { 0, 0, 0, 0, 0, -7,  9,  0, 0, 0, 0, 0, 2,   74,   0,    0, -32},
      { 0, 0, 0, 0, 0, -7,  9,  0, 0, 0, 0, 0, 1,   -3,  12,    6,   2},
      { 0, 0, 0, 0, 0,  0,  4, -3, 0, 0, 0, 0, 2,   26, -14,   -6, -11},
      { 0, 0, 0, 0, 0,  0,  3, -1, 0, 0, 0, 0, 2,   19,   0,    0,  -8},
      { 0, 0, 0, 0, 0, -4,  4,  0, 0, 0, 0, 0, 1,    6,  24,   13,  -3},
      { 0, 0, 0, 0, 0,  4, -4,  0, 0, 0, 0, 0, 0,   83,   0,    0,   0},
      { 0, 0, 0, 0, 0,  4, -4,  0, 0, 0, 0, 0, 1,    0, -10,   -5,   0},
      { 0, 0, 0, 0, 0,  4, -4,  0, 0, 0, 0, 0, 2,   11,  -3,   -1,  -5},

   /* 521-530 */
      { 0, 0, 0, 0, 0,  0,  2,  1, 0, 0, 0, 0, 2,    3,   0,    1,  -1},
      { 0, 0, 0, 0, 0,  0, -3,  0, 5, 0, 0, 0, 2,    3,   0,    0,  -1},
      { 0, 0, 0, 0, 0,  1,  1,  0, 0, 0, 0, 0, 0,   -4,   0,    0,   0},
      { 0, 0, 0, 0, 0,  1,  1,  0, 0, 0, 0, 0, 1,    5, -23,  -12,  -3},
      { 0, 0, 0, 0, 0,  1,  1,  0, 0, 0, 0, 0, 2, -339,   0,    0, 147},
      { 0, 0, 0, 0, 0, -9, 12,  0, 0, 0, 0, 0, 2,    0, -10,   -5,   0},
      { 0, 0, 0, 0, 0,  0,  3,  0,-4, 0, 0, 0, 0,    5,   0,    0,   0},
      { 0, 2,-2, 1, 0,  1, -1,  0, 0, 0, 0, 0, 0,    3,   0,    0,  -1},
      { 0, 0, 0, 0, 0,  0,  7, -8, 0, 0, 0, 0, 2,    0,  -4,   -2,   0},
      { 0, 0, 0, 0, 0,  0,  3,  0,-3, 0, 0, 0, 0,   18,  -3,    0,   0},

   /* 531-540 */
      { 0, 0, 0, 0, 0,  0,  3,  0,-3, 0, 0, 0, 2,    9, -11,   -5,  -4},
      { 0, 0, 0, 0, 0, -2,  6,  0, 0, 0, 0, 0, 2,   -8,   0,    0,   4},
      { 0, 0, 0, 0, 0, -6,  7,  0, 0, 0, 0, 0, 1,    3,   0,    0,  -1},
      { 0, 0, 0, 0, 0,  6, -7,  0, 0, 0, 0, 0, 0,    0,   9,    0,   0},
      { 0, 0, 0, 0, 0,  0,  6, -6, 0, 0, 0, 0, 2,    6,  -9,   -4,  -2},
      { 0, 0, 0, 0, 0,  0,  3,  0,-2, 0, 0, 0, 0,   -4, -12,    0,   0},
      { 0, 0, 0, 0, 0,  0,  3,  0,-2, 0, 0, 0, 2,   67, -91,  -39, -29},
      { 0, 0, 0, 0, 0,  0,  5, -4, 0, 0, 0, 0, 2,   30, -18,   -8, -13},
      { 0, 0, 0, 0, 0,  3, -2,  0, 0, 0, 0, 0, 0,    0,   0,    0,   0},
      { 0, 0, 0, 0, 0,  3, -2,  0, 0, 0, 0, 0, 2,    0,-114,  -50,   0},

   /* 541-550 */
      { 0, 0, 0, 0, 0,  0,  3,  0,-1, 0, 0, 0, 2,    0,   0,    0,  23},
      { 0, 0, 0, 0, 0,  0,  3,  0,-1, 0, 0, 0, 2,  517,  16,    7,-224},
      { 0, 0, 0, 0, 0,  0,  3,  0, 0,-2, 0, 0, 2,    0,  -7,   -3,   0},
      { 0, 0, 0, 0, 0,  0,  4, -2, 0, 0, 0, 0, 2,  143,  -3,   -1, -62},
      { 0, 0, 0, 0, 0,  0,  3,  0, 0,-1, 0, 0, 2,   29,   0,    0, -13},
      { 0, 2,-2, 1, 0,  0,  1,  0,-1, 0, 0, 0, 0,   -4,   0,    0,   2},
      { 0, 0, 0, 0, 0, -8, 16,  0, 0, 0, 0, 0, 2,   -6,   0,    0,   3},
      { 0, 0, 0, 0, 0,  0,  3,  0, 2,-5, 0, 0, 2,    5,  12,    5,  -2},
      { 0, 0, 0, 0, 0,  0,  7, -8, 3, 0, 0, 0, 2,  -25,   0,    0,  11},
      { 0, 0, 0, 0, 0,  0, -5, 16,-4,-5, 0, 0, 2,   -3,   0,    0,   1},

   /* 551-560 */
      { 0, 0, 0, 0, 0,  0,  3,  0, 0, 0, 0, 0, 2,    0,   4,    2,   0},
      { 0, 0, 0, 0, 0,  0, -1,  8,-3, 0, 0, 0, 2,  -22,  12,    5,  10},
      { 0, 0, 0, 0, 0, -8, 10,  0, 0, 0, 0, 0, 2,   50,   0,    0, -22},
      { 0, 0, 0, 0, 0, -8, 10,  0, 0, 0, 0, 0, 1,    0,   7,    4,   0},
      { 0, 0, 0, 0, 0, -8, 10,  0, 0, 0, 0, 0, 2,    0,   3,    1,   0},
      { 0, 0, 0, 0, 0,  0,  2,  2, 0, 0, 0, 0, 2,   -4,   4,    2,   2},
      { 0, 0, 0, 0, 0,  0,  3,  0, 1, 0, 0, 0, 2,   -5, -11,   -5,   2},
      { 0, 0, 0, 0, 0, -3,  8,  0, 0, 0, 0, 0, 2,    0,   4,    2,   0},
      { 0, 0, 0, 0, 0, -5,  5,  0, 0, 0, 0, 0, 1,    4,  17,    9,  -2},
      { 0, 0, 0, 0, 0,  5, -5,  0, 0, 0, 0, 0, 0,   59,   0,    0,   0},

   /* 561-570 */
      { 0, 0, 0, 0, 0,  5, -5,  0, 0, 0, 0, 0, 1,    0,  -4,   -2,   0},
      { 0, 0, 0, 0, 0,  5, -5,  0, 0, 0, 0, 0, 2,   -8,   0,    0,   4},
      { 0, 0, 0, 0, 0,  2,  0,  0, 0, 0, 0, 0, 0,   -3,   0,    0,   0},
      { 0, 0, 0, 0, 0,  2,  0,  0, 0, 0, 0, 0, 1,    4, -15,   -8,  -2},
      { 0, 0, 0, 0, 0,  2,  0,  0, 0, 0, 0, 0, 2,  370,  -8,    0,-160},
      { 0, 0, 0, 0, 0,  0,  7, -7, 0, 0, 0, 0, 2,    0,   0,   -3,   0},
      { 0, 0, 0, 0, 0,  0,  7, -7, 0, 0, 0, 0, 2,    0,   3,    1,   0},
      { 0, 0, 0, 0, 0,  0,  6, -5, 0, 0, 0, 0, 2,   -6,   3,    1,   3},
      { 0, 0, 0, 0, 0,  7, -8,  0, 0, 0, 0, 0, 0,    0,   6,    0,   0},
      { 0, 0, 0, 0, 0,  0,  5, -3, 0, 0, 0, 0, 2,  -10,   0,    0,   4},

   /* 571-580 */
      { 0, 0, 0, 0, 0,  4, -3,  0, 0, 0, 0, 0, 2,    0,   9,    4,   0},
      { 0, 0, 0, 0, 0,  1,  2,  0, 0, 0, 0, 0, 2,    4,  17,    7,  -2},
      { 0, 0, 0, 0, 0, -9, 11,  0, 0, 0, 0, 0, 2,   34,   0,    0, -15},
      { 0, 0, 0, 0, 0, -9, 11,  0, 0, 0, 0, 0, 1,    0,   5,    3,   0},
      { 0, 0, 0, 0, 0,  0,  4,  0,-4, 0, 0, 0, 2,   -5,   0,    0,   2},
      { 0, 0, 0, 0, 0,  0,  4,  0,-3, 0, 0, 0, 2,  -37,  -7,   -3,  16},
      { 0, 0, 0, 0, 0, -6,  6,  0, 0, 0, 0, 0, 1,    3,  13,    7,  -2},
      { 0, 0, 0, 0, 0,  6, -6,  0, 0, 0, 0, 0, 0,   40,   0,    0,   0},
      { 0, 0, 0, 0, 0,  6, -6,  0, 0, 0, 0, 0, 1,    0,  -3,   -2,   0},
      { 0, 0, 0, 0, 0,  0,  4,  0,-2, 0, 0, 0, 2, -184,  -3,   -1,  80},

   /* 581-590 */
      { 0, 0, 0, 0, 0,  0,  6, -4, 0, 0, 0, 0, 2,   -3,   0,    0,   1},
      { 0, 0, 0, 0, 0,  3, -1,  0, 0, 0, 0, 0, 0,   -3,   0,    0,   0},
      { 0, 0, 0, 0, 0,  3, -1,  0, 0, 0, 0, 0, 1,    0, -10,   -6,  -1},
      { 0, 0, 0, 0, 0,  3, -1,  0, 0, 0, 0, 0, 2,   31,  -6,    0, -13},
      { 0, 0, 0, 0, 0,  0,  4,  0,-1, 0, 0, 0, 2,   -3, -32,  -14,   1},
      { 0, 0, 0, 0, 0,  0,  4,  0, 0,-2, 0, 0, 2,   -7,   0,    0,   3},
      { 0, 0, 0, 0, 0,  0,  5, -2, 0, 0, 0, 0, 2,    0,  -8,   -4,   0},
      { 0, 0, 0, 0, 0,  0,  4,  0, 0, 0, 0, 0, 0,    3,  -4,    0,   0},
      { 0, 0, 0, 0, 0,  8, -9,  0, 0, 0, 0, 0, 0,    0,   4,    0,   0},
      { 0, 0, 0, 0, 0,  5, -4,  0, 0, 0, 0, 0, 2,    0,   3,    1,   0},

   /* 591-600 */
      { 0, 0, 0, 0, 0,  2,  1,  0, 0, 0, 0, 0, 2,   19, -23,  -10,   2},
      { 0, 0, 0, 0, 0,  2,  1,  0, 0, 0, 0, 0, 1,    0,   0,    0, -10},
      { 0, 0, 0, 0, 0,  2,  1,  0, 0, 0, 0, 0, 1,    0,   3,    2,   0},
      { 0, 0, 0, 0, 0, -7,  7,  0, 0, 0, 0, 0, 1,    0,   9,    5,  -1},
      { 0, 0, 0, 0, 0,  7, -7,  0, 0, 0, 0, 0, 0,   28,   0,    0,   0},
      { 0, 0, 0, 0, 0,  4, -2,  0, 0, 0, 0, 0, 1,    0,  -7,   -4,   0},
      { 0, 0, 0, 0, 0,  4, -2,  0, 0, 0, 0, 0, 2,    8,  -4,    0,  -4},
      { 0, 0, 0, 0, 0,  4, -2,  0, 0, 0, 0, 0, 0,    0,   0,   -2,   0},
      { 0, 0, 0, 0, 0,  4, -2,  0, 0, 0, 0, 0, 0,    0,   3,    0,   0},
      { 0, 0, 0, 0, 0,  0,  5,  0,-4, 0, 0, 0, 2,   -3,   0,    0,   1},

   /* 601-610 */
      { 0, 0, 0, 0, 0,  0,  5,  0,-3, 0, 0, 0, 2,   -9,   0,    1,   4},
      { 0, 0, 0, 0, 0,  0,  5,  0,-2, 0, 0, 0, 2,    3,  12,    5,  -1},
      { 0, 0, 0, 0, 0,  3,  0,  0, 0, 0, 0, 0, 2,   17,  -3,   -1,   0},
      { 0, 0, 0, 0, 0, -8,  8,  0, 0, 0, 0, 0, 1,    0,   7,    4,   0},
      { 0, 0, 0, 0, 0,  8, -8,  0, 0, 0, 0, 0, 0,   19,   0,    0,   0},
      { 0, 0, 0, 0, 0,  5, -3,  0, 0, 0, 0, 0, 1,    0,  -5,   -3,   0},
      { 0, 0, 0, 0, 0,  5, -3,  0, 0, 0, 0, 0, 2,   14,  -3,    0,  -1},
      { 0, 0, 0, 0, 0, -9,  9,  0, 0, 0, 0, 0, 1,    0,   0,   -1,   0},
      { 0, 0, 0, 0, 0, -9,  9,  0, 0, 0, 0, 0, 1,    0,   0,    0,  -5},
      { 0, 0, 0, 0, 0, -9,  9,  0, 0, 0, 0, 0, 1,    0,   5,    3,   0},

   /* 611-620 */
      { 0, 0, 0, 0, 0,  9, -9,  0, 0, 0, 0, 0, 0,   13,   0,    0,   0},
      { 0, 0, 0, 0, 0,  6, -4,  0, 0, 0, 0, 0, 1,    0,  -3,   -2,   0},
      { 0, 0, 0, 0, 0,  0,  6,  0, 0, 0, 0, 0, 2,    2,   9,    4,   3},
      { 0, 0, 0, 0, 0,  0,  6,  0, 0, 0, 0, 0, 0,    0,   0,    0,  -4},
      { 0, 0, 0, 0, 0,  0,  6,  0, 0, 0, 0, 0, 0,    8,   0,    0,   0},
      { 0, 0, 0, 0, 0,  0,  6,  0, 0, 0, 0, 0, 1,    0,   4,    2,   0},
      { 0, 0, 0, 0, 0,  0,  6,  0, 0, 0, 0, 0, 2,    6,   0,    0,  -3},
      { 0, 0, 0, 0, 0,  0,  6,  0, 0, 0, 0, 0, 0,    6,   0,    0,   0},
      { 0, 0, 0, 0, 0,  0,  6,  0, 0, 0, 0, 0, 1,    0,   3,    1,   0},
      { 0, 0, 0, 0, 0,  0,  6,  0, 0, 0, 0, 0, 2,    5,   0,    0,  -2},

   /* 621-630 */
      { 0, 0, 0, 0, 0,  0,  0,  0, 0, 0, 0, 0, 2,    3,   0,    0,  -1},
      { 1, 0,-2, 0, 0,  0,  2,  0,-2, 0, 0, 0, 0,   -3,   0,    0,   0},
      { 1, 0,-2, 0, 0,  2, -2,  0, 0, 0, 0, 0, 0,    6,   0,    0,   0},
      { 1, 0,-2, 0, 0,  0,  1,  0,-1, 0, 0, 0, 0,    7,   0,    0,   0},
      { 1, 0,-2, 0, 0,  1, -1,  0, 0, 0, 0, 0, 0,   -4,   0,    0,   0},
      {-1, 0, 0, 0, 0,  3, -3,  0, 0, 0, 0, 0, 0,    4,   0,    0,   0},
      {-1, 0, 0, 0, 0,  0,  2,  0,-2, 0, 0, 0, 0,    6,   0,    0,   0},
      {-1, 0, 2, 0, 0,  0,  4, -8, 3, 0, 0, 0, 0,    0,  -4,    0,   0},
      { 1, 0,-2, 0, 0,  0,  4, -8, 3, 0, 0, 0, 0,    0,  -4,    0,   0},
      {-2, 0, 2, 0, 0,  0,  4, -8, 3, 0, 0, 0, 0,    5,   0,    0,   0},

   /* 631-640 */
      {-1, 0, 0, 0, 0,  0,  2,  0,-3, 0, 0, 0, 0,   -3,   0,    0,   0},
      {-1, 0, 0, 0, 0,  0,  1,  0,-1, 0, 0, 0, 0,    4,   0,    0,   0},
      {-1, 0, 0, 0, 0,  1, -1,  0, 0, 0, 0, 0, 0,   -5,   0,    0,   0},
      {-1, 0, 2, 0, 0,  2, -2,  0, 0, 0, 0, 0, 0,    4,   0,    0,   0},
      { 1,-1, 1, 0, 0,  0,  1,  0, 0, 0, 0, 0, 0,    0,   3,    0,   0},
      {-1, 0, 2, 0, 0,  0,  2,  0,-3, 0, 0, 0, 0,   13,   0,    0,   0},
      {-2, 0, 0, 0, 0,  0,  2,  0,-3, 0, 0, 0, 0,   21,  11,    0,   0},
      { 1, 0, 0, 0, 0,  0,  4, -8, 3, 0, 0, 0, 0,    0,  -5,    0,   0},
      {-1, 1,-1, 1, 0,  0, -1,  0, 0, 0, 0, 0, 0,    0,  -5,   -2,   0},
      { 1, 1,-1, 1, 0,  0, -1,  0, 0, 0, 0, 0, 0,    0,   5,    3,   0},

   /* 641-650 */
      {-1, 0, 0, 0, 0,  0,  4, -8, 3, 0, 0, 0, 0,    0,  -5,    0,   0},
      {-1, 0, 2, 1, 0,  0,  2,  0,-2, 0, 0, 0, 0,   -3,   0,    0,   2},
      { 0, 0, 0, 0, 0,  0,  2,  0,-2, 0, 0, 0, 0,   20,  10,    0,   0},
      {-1, 0, 2, 0, 0,  0,  2,  0,-2, 0, 0, 0, 0,  -34,   0,    0,   0},
      {-1, 0, 2, 0, 0,  3, -3,  0, 0, 0, 0, 0, 0,  -19,   0,    0,   0},
      { 1, 0,-2, 1, 0,  0, -2,  0, 2, 0, 0, 0, 0,    3,   0,    0,  -2},
      { 1, 2,-2, 2, 0, -3,  3,  0, 0, 0, 0, 0, 0,   -3,   0,    0,   1},
      { 1, 2,-2, 2, 0,  0, -2,  0, 2, 0, 0, 0, 0,   -6,   0,    0,   3},
      { 1, 0, 0, 0, 0,  1, -1,  0, 0, 0, 0, 0, 0,   -4,   0,    0,   0},
      { 1, 0, 0, 0, 0,  0,  1,  0,-1, 0, 0, 0, 0,    3,   0,    0,   0},

   /* 651-660 */
      { 0, 0,-2, 0, 0,  2, -2,  0, 0, 0, 0, 0, 0,    3,   0,    0,   0},
      { 0, 0,-2, 0, 0,  0,  1,  0,-1, 0, 0, 0, 0,    4,   0,    0,   0},
      { 0, 2, 0, 2, 0, -2,  2,  0, 0, 0, 0, 0, 0,    3,   0,    0,  -1},
      { 0, 2, 0, 2, 0,  0, -1,  0, 1, 0, 0, 0, 0,    6,   0,    0,  -3},
      { 0, 2, 0, 2, 0, -1,  1,  0, 0, 0, 0, 0, 0,   -8,   0,    0,   3},
      { 0, 2, 0, 2, 0, -2,  3,  0, 0, 0, 0, 0, 0,    0,   3,    1,   0},
      { 0, 0, 2, 0, 0,  0,  2,  0,-2, 0, 0, 0, 0,   -3,   0,    0,   0},
      { 0, 1, 1, 2, 0,  0,  1,  0, 0, 0, 0, 0, 0,    0,  -3,   -2,   0},
      { 1, 2, 0, 2, 0,  0,  1,  0, 0, 0, 0, 0, 0,  126, -63,  -27, -55},
      {-1, 2, 0, 2, 0, 10, -3,  0, 0, 0, 0, 0, 0,   -5,   0,    1,   2},

   /* 661-670 */
      { 0, 1, 1, 1, 0,  0,  1,  0, 0, 0, 0, 0, 0,   -3,  28,   15,   2},
      { 1, 2, 0, 2, 0,  0,  1,  0, 0, 0, 0, 0, 0,    5,   0,    1,  -2},
      { 0, 2, 0, 2, 0,  0,  4, -8, 3, 0, 0, 0, 0,    0,   9,    4,   1},
      { 0, 2, 0, 2, 0,  0, -4,  8,-3, 0, 0, 0, 0,    0,   9,    4,  -1},
      {-1, 2, 0, 2, 0,  0, -4,  8,-3, 0, 0, 0, 0, -126, -63,  -27,  55},
      { 2, 2,-2, 2, 0,  0, -2,  0, 3, 0, 0, 0, 0,    3,   0,    0,  -1},
      { 1, 2, 0, 1, 0,  0, -2,  0, 3, 0, 0, 0, 0,   21, -11,   -6, -11},
      { 0, 1, 1, 0, 0,  0,  1,  0, 0, 0, 0, 0, 0,    0,  -4,    0,   0},
      {-1, 2, 0, 1, 0,  0,  1,  0, 0, 0, 0, 0, 0,  -21, -11,   -6,  11},
      {-2, 2, 2, 2, 0,  0,  2,  0,-2, 0, 0, 0, 0,   -3,   0,    0,   1},

   /* 671-680 */
      { 0, 2, 0, 2, 0,  2, -3,  0, 0, 0, 0, 0, 0,    0,   3,    1,   0},
      { 0, 2, 0, 2, 0,  1, -1,  0, 0, 0, 0, 0, 0,    8,   0,    0,  -4},
      { 0, 2, 0, 2, 0,  0,  1,  0,-1, 0, 0, 0, 0,   -6,   0,    0,   3},
      { 0, 2, 0, 2, 0,  2, -2,  0, 0, 0, 0, 0, 0,   -3,   0,    0,   1},
      {-1, 2, 2, 2, 0,  0, -1,  0, 1, 0, 0, 0, 0,    3,   0,    0,  -1},
      { 1, 2, 0, 2, 0, -1,  1,  0, 0, 0, 0, 0, 0,   -3,   0,    0,   1},
      {-1, 2, 2, 2, 0,  0,  2,  0,-3, 0, 0, 0, 0,   -5,   0,    0,   2},
      { 2, 2, 0, 2, 0,  0,  2,  0,-3, 0, 0, 0, 0,   24, -12,   -5, -11},
      { 1, 2, 0, 2, 0,  0, -4,  8,-3, 0, 0, 0, 0,    0,   3,    1,   0},
      { 1, 2, 0, 2, 0,  0,  4, -8, 3, 0, 0, 0, 0,    0,   3,    1,   0},

   /* 681-687 */
      { 1, 1, 1, 1, 0,  0,  1,  0, 0, 0, 0, 0, 0,    0,   3,    2,   0},
      { 0, 2, 0, 2, 0,  0,  1,  0, 0, 0, 0, 0, 0,  -24, -12,   -5,  10},
      { 2, 2, 0, 1, 0,  0,  1,  0, 0, 0, 0, 0, 0,    4,   0,   -1,  -2},
      {-1, 2, 2, 2, 0,  0,  2,  0,-2, 0, 0, 0, 0,   13,   0,    0,  -6},
      {-1, 2, 2, 2, 0,  3, -3,  0, 0, 0, 0, 0, 0,    7,   0,    0,  -3},
      { 1, 2, 0, 2, 0,  1, -1,  0, 0, 0, 0, 0, 0,    3,   0,    0,  -1},
      { 0, 2, 2, 2, 0,  0,  2,  0,-2, 0, 0, 0, 0,    3,   0,    0,  -1}
   };

/* Number of terms in the planetary nutation model */
   const int NPL = (int) (sizeof xpl / sizeof xpl[0]);

/*--------------------------------------------------------------------*/

/* Interval between fundamental date J2000.0 and given date (JC). */
   t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC;

/* ------------------- */
/* LUNI-SOLAR NUTATION */
/* ------------------- */

/* Fundamental (Delaunay) arguments */

/* Mean anomaly of the Moon (IERS 2003). */
   el = eraFal03(t);

/* Mean anomaly of the Sun (MHB2000). */
   elp = fmod(1287104.79305  +
            t * (129596581.0481  +
            t * (-0.5532  +
            t * (0.000136  +
            t * (-0.00001149)))), ERFA_TURNAS) * ERFA_DAS2R;

/* Mean longitude of the Moon minus that of the ascending node */
/* (IERS 2003. */
   f = eraFaf03(t);

/* Mean elongation of the Moon from the Sun (MHB2000). */
   d = fmod(1072260.70369  +
          t * (1602961601.2090  +
          t * (-6.3706  +
          t * (0.006593  +
          t * (-0.00003169)))), ERFA_TURNAS) * ERFA_DAS2R;

/* Mean longitude of the ascending node of the Moon (IERS 2003). */
   om = eraFaom03(t);

/* Initialize the nutation values. */
   dp = 0.0;
   de = 0.0;

/* Summation of luni-solar nutation series (in reverse order). */
   for (i = NLS-1; i >= 0; i--) {

   /* Argument and functions. */
      arg = fmod((double)xls[i].nl  * el +
                 (double)xls[i].nlp * elp +
                 (double)xls[i].nf  * f +
                 (double)xls[i].nd  * d +
                 (double)xls[i].nom * om, ERFA_D2PI);
      sarg = sin(arg);
      carg = cos(arg);

   /* Term. */
      dp += (xls[i].sp + xls[i].spt * t) * sarg + xls[i].cp * carg;
      de += (xls[i].ce + xls[i].cet * t) * carg + xls[i].se * sarg;
   }

/* Convert from 0.1 microarcsec units to radians. */
   dpsils = dp * U2R;
   depsls = de * U2R;

/* ------------------ */
/* PLANETARY NUTATION */
/* ------------------ */

/* n.b.  The MHB2000 code computes the luni-solar and planetary nutation */
/* in different functions, using slightly different Delaunay */
/* arguments in the two cases.  This behaviour is faithfully */
/* reproduced here.  Use of the IERS 2003 expressions for both */
/* cases leads to negligible changes, well below */
/* 0.1 microarcsecond. */

/* Mean anomaly of the Moon (MHB2000). */
   al = fmod(2.35555598 + 8328.6914269554 * t, ERFA_D2PI);

/* Mean longitude of the Moon minus that of the ascending node */
/*(MHB2000). */
   af = fmod(1.627905234 + 8433.466158131 * t, ERFA_D2PI);

/* Mean elongation of the Moon from the Sun (MHB2000). */
   ad = fmod(5.198466741 + 7771.3771468121 * t, ERFA_D2PI);

/* Mean longitude of the ascending node of the Moon (MHB2000). */
   aom = fmod(2.18243920 - 33.757045 * t, ERFA_D2PI);

/* General accumulated precession in longitude (IERS 2003). */
   apa = eraFapa03(t);

/* Planetary longitudes, Mercury through Uranus (IERS 2003). */
   alme = eraFame03(t);
   alve = eraFave03(t);
   alea = eraFae03(t);
   alma = eraFama03(t);
   alju = eraFaju03(t);
   alsa = eraFasa03(t);
   alur = eraFaur03(t);

/* Neptune longitude (MHB2000). */
   alne = fmod(5.321159000 + 3.8127774000 * t, ERFA_D2PI);

/* Initialize the nutation values. */
   dp = 0.0;
   de = 0.0;

/* Summation of planetary nutation series (in reverse order). */
   for (i = NPL-1; i >= 0; i--) {

   /* Argument and functions. */
      arg = fmod((double)xpl[i].nl  * al   +
                 (double)xpl[i].nf  * af   +
                 (double)xpl[i].nd  * ad   +
                 (double)xpl[i].nom * aom  +
                 (double)xpl[i].nme * alme +
                 (double)xpl[i].nve * alve +
                 (double)xpl[i].nea * alea +
                 (double)xpl[i].nma * alma +
                 (double)xpl[i].nju * alju +
                 (double)xpl[i].nsa * alsa +
                 (double)xpl[i].nur * alur +
                 (double)xpl[i].nne * alne +
                 (double)xpl[i].npa * apa, ERFA_D2PI);
      sarg = sin(arg);
      carg = cos(arg);

   /* Term. */
      dp += (double)xpl[i].sp * sarg + (double)xpl[i].cp * carg;
      de += (double)xpl[i].se * sarg + (double)xpl[i].ce * carg;

   }

/* Convert from 0.1 microarcsec units to radians. */
   dpsipl = dp * U2R;
   depspl = de * U2R;

/* ------- */
/* RESULTS */
/* ------- */

/* Add luni-solar and planetary components. */
   *dpsi = dpsils + dpsipl;
   *deps = depsls + depspl;

   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.
**  
*/