FACT++  1.0
nut00a.c
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1 #include "erfa.h"
2 
3 void eraNut00a(double date1, double date2, double *dpsi, double *deps)
4 /*
5 ** - - - - - - - - - -
6 ** e r a N u t 0 0 a
7 ** - - - - - - - - - -
8 **
9 ** Nutation, IAU 2000A model (MHB2000 luni-solar and planetary nutation
10 ** with free core nutation omitted).
11 **
12 ** Given:
13 ** date1,date2 double TT as a 2-part Julian Date (Note 1)
14 **
15 ** Returned:
16 ** dpsi,deps double nutation, luni-solar + planetary (Note 2)
17 **
18 ** Notes:
19 **
20 ** 1) The TT date date1+date2 is a Julian Date, apportioned in any
21 ** convenient way between the two arguments. For example,
22 ** JD(TT)=2450123.7 could be expressed in any of these ways,
23 ** among others:
24 **
25 ** date1 date2
26 **
27 ** 2450123.7 0.0 (JD method)
28 ** 2451545.0 -1421.3 (J2000 method)
29 ** 2400000.5 50123.2 (MJD method)
30 ** 2450123.5 0.2 (date & time method)
31 **
32 ** The JD method is the most natural and convenient to use in
33 ** cases where the loss of several decimal digits of resolution
34 ** is acceptable. The J2000 method is best matched to the way
35 ** the argument is handled internally and will deliver the
36 ** optimum resolution. The MJD method and the date & time methods
37 ** are both good compromises between resolution and convenience.
38 **
39 ** 2) The nutation components in longitude and obliquity are in radians
40 ** and with respect to the equinox and ecliptic of date. The
41 ** obliquity at J2000.0 is assumed to be the Lieske et al. (1977)
42 ** value of 84381.448 arcsec.
43 **
44 ** Both the luni-solar and planetary nutations are included. The
45 ** latter are due to direct planetary nutations and the
46 ** perturbations of the lunar and terrestrial orbits.
47 **
48 ** 3) The function computes the MHB2000 nutation series with the
49 ** associated corrections for planetary nutations. It is an
50 ** implementation of the nutation part of the IAU 2000A precession-
51 ** nutation model, formally adopted by the IAU General Assembly in
52 ** 2000, namely MHB2000 (Mathews et al. 2002), but with the free
53 ** core nutation (FCN - see Note 4) omitted.
54 **
55 ** 4) The full MHB2000 model also contains contributions to the
56 ** nutations in longitude and obliquity due to the free-excitation
57 ** of the free-core-nutation during the period 1979-2000. These FCN
58 ** terms, which are time-dependent and unpredictable, are NOT
59 ** included in the present function and, if required, must be
60 ** independently computed. With the FCN corrections included, the
61 ** present function delivers a pole which is at current epochs
62 ** accurate to a few hundred microarcseconds. The omission of FCN
63 ** introduces further errors of about that size.
64 **
65 ** 5) The present function provides classical nutation. The MHB2000
66 ** algorithm, from which it is adapted, deals also with (i) the
67 ** offsets between the GCRS and mean poles and (ii) the adjustments
68 ** in longitude and obliquity due to the changed precession rates.
69 ** These additional functions, namely frame bias and precession
70 ** adjustments, are supported by the ERFA functions eraBi00 and
71 ** eraPr00.
72 **
73 ** 6) The MHB2000 algorithm also provides "total" nutations, comprising
74 ** the arithmetic sum of the frame bias, precession adjustments,
75 ** luni-solar nutation and planetary nutation. These total
76 ** nutations can be used in combination with an existing IAU 1976
77 ** precession implementation, such as eraPmat76, to deliver GCRS-
78 ** to-true predictions of sub-mas accuracy at current dates.
79 ** However, there are three shortcomings in the MHB2000 model that
80 ** must be taken into account if more accurate or definitive results
81 ** are required (see Wallace 2002):
82 **
83 ** (i) The MHB2000 total nutations are simply arithmetic sums,
84 ** yet in reality the various components are successive Euler
85 ** rotations. This slight lack of rigor leads to cross terms
86 ** that exceed 1 mas after a century. The rigorous procedure
87 ** is to form the GCRS-to-true rotation matrix by applying the
88 ** bias, precession and nutation in that order.
89 **
90 ** (ii) Although the precession adjustments are stated to be with
91 ** respect to Lieske et al. (1977), the MHB2000 model does
92 ** not specify which set of Euler angles are to be used and
93 ** how the adjustments are to be applied. The most literal
94 ** and straightforward procedure is to adopt the 4-rotation
95 ** epsilon_0, psi_A, omega_A, xi_A option, and to add DPSIPR
96 ** to psi_A and DEPSPR to both omega_A and eps_A.
97 **
98 ** (iii) The MHB2000 model predates the determination by Chapront
99 ** et al. (2002) of a 14.6 mas displacement between the
100 ** J2000.0 mean equinox and the origin of the ICRS frame. It
101 ** should, however, be noted that neglecting this displacement
102 ** when calculating star coordinates does not lead to a
103 ** 14.6 mas change in right ascension, only a small second-
104 ** order distortion in the pattern of the precession-nutation
105 ** effect.
106 **
107 ** For these reasons, the ERFA functions do not generate the "total
108 ** nutations" directly, though they can of course easily be
109 ** generated by calling eraBi00, eraPr00 and the present function
110 ** and adding the results.
111 **
112 ** 7) The MHB2000 model contains 41 instances where the same frequency
113 ** appears multiple times, of which 38 are duplicates and three are
114 ** triplicates. To keep the present code close to the original MHB
115 ** algorithm, this small inefficiency has not been corrected.
116 **
117 ** Called:
118 ** eraFal03 mean anomaly of the Moon
119 ** eraFaf03 mean argument of the latitude of the Moon
120 ** eraFaom03 mean longitude of the Moon's ascending node
121 ** eraFame03 mean longitude of Mercury
122 ** eraFave03 mean longitude of Venus
123 ** eraFae03 mean longitude of Earth
124 ** eraFama03 mean longitude of Mars
125 ** eraFaju03 mean longitude of Jupiter
126 ** eraFasa03 mean longitude of Saturn
127 ** eraFaur03 mean longitude of Uranus
128 ** eraFapa03 general accumulated precession in longitude
129 **
130 ** References:
131 **
132 ** Chapront, J., Chapront-Touze, M. & Francou, G. 2002,
133 ** Astron.Astrophys. 387, 700
134 **
135 ** Lieske, J.H., Lederle, T., Fricke, W. & Morando, B. 1977,
136 ** Astron.Astrophys. 58, 1-16
137 **
138 ** Mathews, P.M., Herring, T.A., Buffet, B.A. 2002, J.Geophys.Res.
139 ** 107, B4. The MHB_2000 code itself was obtained on 9th September
140 ** 2002 from ftp//maia.usno.navy.mil/conv2000/chapter5/IAU2000A.
141 **
142 ** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
143 ** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
144 **
145 ** Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999,
146 ** Astron.Astrophys.Supp.Ser. 135, 111
147 **
148 ** Wallace, P.T., "Software for Implementing the IAU 2000
149 ** Resolutions", in IERS Workshop 5.1 (2002)
150 **
151 ** Copyright (C) 2013-2015, NumFOCUS Foundation.
152 ** Derived, with permission, from the SOFA library. See notes at end of file.
153 */
154 {
155  int i;
156  double t, el, elp, f, d, om, arg, dp, de, sarg, carg,
157  al, af, ad, aom, alme, alve, alea, alma,
158  alju, alsa, alur, alne, apa, dpsils, depsls,
159  dpsipl, depspl;
160 
161 /* Units of 0.1 microarcsecond to radians */
162  const double U2R = ERFA_DAS2R / 1e7;
163 
164 /* ------------------------- */
165 /* Luni-Solar nutation model */
166 /* ------------------------- */
167 
168 /* The units for the sine and cosine coefficients are */
169 /* 0.1 microarcsecond and the same per Julian century */
170 
171  static const struct {
172  int nl,nlp,nf,nd,nom; /* coefficients of l,l',F,D,Om */
173  double sp,spt,cp; /* longitude sin, t*sin, cos coefficients */
174  double ce,cet,se; /* obliquity cos, t*cos, sin coefficients */
175  } xls[] = {
176 
177  /* 1- 10 */
178  { 0, 0, 0, 0, 1,
179  -172064161.0, -174666.0, 33386.0, 92052331.0, 9086.0, 15377.0},
180  { 0, 0, 2,-2, 2,
181  -13170906.0, -1675.0, -13696.0, 5730336.0, -3015.0, -4587.0},
182  { 0, 0, 2, 0, 2,-2276413.0,-234.0,2796.0,978459.0,-485.0, 1374.0},
183  { 0, 0, 0, 0, 2,2074554.0, 207.0, -698.0,-897492.0,470.0, -291.0},
184  { 0, 1, 0, 0, 0,1475877.0,-3633.0,11817.0,73871.0,-184.0,-1924.0},
185  { 0, 1, 2,-2, 2,-516821.0,1226.0, -524.0,224386.0,-677.0, -174.0},
186  { 1, 0, 0, 0, 0, 711159.0, 73.0, -872.0, -6750.0, 0.0, 358.0},
187  { 0, 0, 2, 0, 1,-387298.0,-367.0, 380.0, 200728.0, 18.0, 318.0},
188  { 1, 0, 2, 0, 2,-301461.0, -36.0, 816.0, 129025.0,-63.0, 367.0},
189  { 0,-1, 2,-2, 2, 215829.0,-494.0, 111.0, -95929.0,299.0, 132.0},
190 
191  /* 11-20 */
192  { 0, 0, 2,-2, 1, 128227.0, 137.0, 181.0, -68982.0, -9.0, 39.0},
193  {-1, 0, 2, 0, 2, 123457.0, 11.0, 19.0, -53311.0, 32.0, -4.0},
194  {-1, 0, 0, 2, 0, 156994.0, 10.0, -168.0, -1235.0, 0.0, 82.0},
195  { 1, 0, 0, 0, 1, 63110.0, 63.0, 27.0, -33228.0, 0.0, -9.0},
196  {-1, 0, 0, 0, 1, -57976.0, -63.0, -189.0, 31429.0, 0.0, -75.0},
197  {-1, 0, 2, 2, 2, -59641.0, -11.0, 149.0, 25543.0,-11.0, 66.0},
198  { 1, 0, 2, 0, 1, -51613.0, -42.0, 129.0, 26366.0, 0.0, 78.0},
199  {-2, 0, 2, 0, 1, 45893.0, 50.0, 31.0, -24236.0,-10.0, 20.0},
200  { 0, 0, 0, 2, 0, 63384.0, 11.0, -150.0, -1220.0, 0.0, 29.0},
201  { 0, 0, 2, 2, 2, -38571.0, -1.0, 158.0, 16452.0,-11.0, 68.0},
202 
203  /* 21-30 */
204  { 0,-2, 2,-2, 2, 32481.0, 0.0, 0.0, -13870.0, 0.0, 0.0},
205  {-2, 0, 0, 2, 0, -47722.0, 0.0, -18.0, 477.0, 0.0, -25.0},
206  { 2, 0, 2, 0, 2, -31046.0, -1.0, 131.0, 13238.0,-11.0, 59.0},
207  { 1, 0, 2,-2, 2, 28593.0, 0.0, -1.0, -12338.0, 10.0, -3.0},
208  {-1, 0, 2, 0, 1, 20441.0, 21.0, 10.0, -10758.0, 0.0, -3.0},
209  { 2, 0, 0, 0, 0, 29243.0, 0.0, -74.0, -609.0, 0.0, 13.0},
210  { 0, 0, 2, 0, 0, 25887.0, 0.0, -66.0, -550.0, 0.0, 11.0},
211  { 0, 1, 0, 0, 1, -14053.0, -25.0, 79.0, 8551.0, -2.0, -45.0},
212  {-1, 0, 0, 2, 1, 15164.0, 10.0, 11.0, -8001.0, 0.0, -1.0},
213  { 0, 2, 2,-2, 2, -15794.0, 72.0, -16.0, 6850.0,-42.0, -5.0},
214 
215  /* 31-40 */
216  { 0, 0,-2, 2, 0, 21783.0, 0.0, 13.0, -167.0, 0.0, 13.0},
217  { 1, 0, 0,-2, 1, -12873.0, -10.0, -37.0, 6953.0, 0.0, -14.0},
218  { 0,-1, 0, 0, 1, -12654.0, 11.0, 63.0, 6415.0, 0.0, 26.0},
219  {-1, 0, 2, 2, 1, -10204.0, 0.0, 25.0, 5222.0, 0.0, 15.0},
220  { 0, 2, 0, 0, 0, 16707.0, -85.0, -10.0, 168.0, -1.0, 10.0},
221  { 1, 0, 2, 2, 2, -7691.0, 0.0, 44.0, 3268.0, 0.0, 19.0},
222  {-2, 0, 2, 0, 0, -11024.0, 0.0, -14.0, 104.0, 0.0, 2.0},
223  { 0, 1, 2, 0, 2, 7566.0, -21.0, -11.0, -3250.0, 0.0, -5.0},
224  { 0, 0, 2, 2, 1, -6637.0, -11.0, 25.0, 3353.0, 0.0, 14.0},
225  { 0,-1, 2, 0, 2, -7141.0, 21.0, 8.0, 3070.0, 0.0, 4.0},
226 
227  /* 41-50 */
228  { 0, 0, 0, 2, 1, -6302.0, -11.0, 2.0, 3272.0, 0.0, 4.0},
229  { 1, 0, 2,-2, 1, 5800.0, 10.0, 2.0, -3045.0, 0.0, -1.0},
230  { 2, 0, 2,-2, 2, 6443.0, 0.0, -7.0, -2768.0, 0.0, -4.0},
231  {-2, 0, 0, 2, 1, -5774.0, -11.0, -15.0, 3041.0, 0.0, -5.0},
232  { 2, 0, 2, 0, 1, -5350.0, 0.0, 21.0, 2695.0, 0.0, 12.0},
233  { 0,-1, 2,-2, 1, -4752.0, -11.0, -3.0, 2719.0, 0.0, -3.0},
234  { 0, 0, 0,-2, 1, -4940.0, -11.0, -21.0, 2720.0, 0.0, -9.0},
235  {-1,-1, 0, 2, 0, 7350.0, 0.0, -8.0, -51.0, 0.0, 4.0},
236  { 2, 0, 0,-2, 1, 4065.0, 0.0, 6.0, -2206.0, 0.0, 1.0},
237  { 1, 0, 0, 2, 0, 6579.0, 0.0, -24.0, -199.0, 0.0, 2.0},
238 
239  /* 51-60 */
240  { 0, 1, 2,-2, 1, 3579.0, 0.0, 5.0, -1900.0, 0.0, 1.0},
241  { 1,-1, 0, 0, 0, 4725.0, 0.0, -6.0, -41.0, 0.0, 3.0},
242  {-2, 0, 2, 0, 2, -3075.0, 0.0, -2.0, 1313.0, 0.0, -1.0},
243  { 3, 0, 2, 0, 2, -2904.0, 0.0, 15.0, 1233.0, 0.0, 7.0},
244  { 0,-1, 0, 2, 0, 4348.0, 0.0, -10.0, -81.0, 0.0, 2.0},
245  { 1,-1, 2, 0, 2, -2878.0, 0.0, 8.0, 1232.0, 0.0, 4.0},
246  { 0, 0, 0, 1, 0, -4230.0, 0.0, 5.0, -20.0, 0.0, -2.0},
247  {-1,-1, 2, 2, 2, -2819.0, 0.0, 7.0, 1207.0, 0.0, 3.0},
248  {-1, 0, 2, 0, 0, -4056.0, 0.0, 5.0, 40.0, 0.0, -2.0},
249  { 0,-1, 2, 2, 2, -2647.0, 0.0, 11.0, 1129.0, 0.0, 5.0},
250 
251  /* 61-70 */
252  {-2, 0, 0, 0, 1, -2294.0, 0.0, -10.0, 1266.0, 0.0, -4.0},
253  { 1, 1, 2, 0, 2, 2481.0, 0.0, -7.0, -1062.0, 0.0, -3.0},
254  { 2, 0, 0, 0, 1, 2179.0, 0.0, -2.0, -1129.0, 0.0, -2.0},
255  {-1, 1, 0, 1, 0, 3276.0, 0.0, 1.0, -9.0, 0.0, 0.0},
256  { 1, 1, 0, 0, 0, -3389.0, 0.0, 5.0, 35.0, 0.0, -2.0},
257  { 1, 0, 2, 0, 0, 3339.0, 0.0, -13.0, -107.0, 0.0, 1.0},
258  {-1, 0, 2,-2, 1, -1987.0, 0.0, -6.0, 1073.0, 0.0, -2.0},
259  { 1, 0, 0, 0, 2, -1981.0, 0.0, 0.0, 854.0, 0.0, 0.0},
260  {-1, 0, 0, 1, 0, 4026.0, 0.0, -353.0, -553.0, 0.0, -139.0},
261  { 0, 0, 2, 1, 2, 1660.0, 0.0, -5.0, -710.0, 0.0, -2.0},
262 
263  /* 71-80 */
264  {-1, 0, 2, 4, 2, -1521.0, 0.0, 9.0, 647.0, 0.0, 4.0},
265  {-1, 1, 0, 1, 1, 1314.0, 0.0, 0.0, -700.0, 0.0, 0.0},
266  { 0,-2, 2,-2, 1, -1283.0, 0.0, 0.0, 672.0, 0.0, 0.0},
267  { 1, 0, 2, 2, 1, -1331.0, 0.0, 8.0, 663.0, 0.0, 4.0},
268  {-2, 0, 2, 2, 2, 1383.0, 0.0, -2.0, -594.0, 0.0, -2.0},
269  {-1, 0, 0, 0, 2, 1405.0, 0.0, 4.0, -610.0, 0.0, 2.0},
270  { 1, 1, 2,-2, 2, 1290.0, 0.0, 0.0, -556.0, 0.0, 0.0},
271  {-2, 0, 2, 4, 2, -1214.0, 0.0, 5.0, 518.0, 0.0, 2.0},
272  {-1, 0, 4, 0, 2, 1146.0, 0.0, -3.0, -490.0, 0.0, -1.0},
273  { 2, 0, 2,-2, 1, 1019.0, 0.0, -1.0, -527.0, 0.0, -1.0},
274 
275  /* 81-90 */
276  { 2, 0, 2, 2, 2, -1100.0, 0.0, 9.0, 465.0, 0.0, 4.0},
277  { 1, 0, 0, 2, 1, -970.0, 0.0, 2.0, 496.0, 0.0, 1.0},
278  { 3, 0, 0, 0, 0, 1575.0, 0.0, -6.0, -50.0, 0.0, 0.0},
279  { 3, 0, 2,-2, 2, 934.0, 0.0, -3.0, -399.0, 0.0, -1.0},
280  { 0, 0, 4,-2, 2, 922.0, 0.0, -1.0, -395.0, 0.0, -1.0},
281  { 0, 1, 2, 0, 1, 815.0, 0.0, -1.0, -422.0, 0.0, -1.0},
282  { 0, 0,-2, 2, 1, 834.0, 0.0, 2.0, -440.0, 0.0, 1.0},
283  { 0, 0, 2,-2, 3, 1248.0, 0.0, 0.0, -170.0, 0.0, 1.0},
284  {-1, 0, 0, 4, 0, 1338.0, 0.0, -5.0, -39.0, 0.0, 0.0},
285  { 2, 0,-2, 0, 1, 716.0, 0.0, -2.0, -389.0, 0.0, -1.0},
286 
287  /* 91-100 */
288  {-2, 0, 0, 4, 0, 1282.0, 0.0, -3.0, -23.0, 0.0, 1.0},
289  {-1,-1, 0, 2, 1, 742.0, 0.0, 1.0, -391.0, 0.0, 0.0},
290  {-1, 0, 0, 1, 1, 1020.0, 0.0, -25.0, -495.0, 0.0, -10.0},
291  { 0, 1, 0, 0, 2, 715.0, 0.0, -4.0, -326.0, 0.0, 2.0},
292  { 0, 0,-2, 0, 1, -666.0, 0.0, -3.0, 369.0, 0.0, -1.0},
293  { 0,-1, 2, 0, 1, -667.0, 0.0, 1.0, 346.0, 0.0, 1.0},
294  { 0, 0, 2,-1, 2, -704.0, 0.0, 0.0, 304.0, 0.0, 0.0},
295  { 0, 0, 2, 4, 2, -694.0, 0.0, 5.0, 294.0, 0.0, 2.0},
296  {-2,-1, 0, 2, 0, -1014.0, 0.0, -1.0, 4.0, 0.0, -1.0},
297  { 1, 1, 0,-2, 1, -585.0, 0.0, -2.0, 316.0, 0.0, -1.0},
298 
299  /* 101-110 */
300  {-1, 1, 0, 2, 0, -949.0, 0.0, 1.0, 8.0, 0.0, -1.0},
301  {-1, 1, 0, 1, 2, -595.0, 0.0, 0.0, 258.0, 0.0, 0.0},
302  { 1,-1, 0, 0, 1, 528.0, 0.0, 0.0, -279.0, 0.0, 0.0},
303  { 1,-1, 2, 2, 2, -590.0, 0.0, 4.0, 252.0, 0.0, 2.0},
304  {-1, 1, 2, 2, 2, 570.0, 0.0, -2.0, -244.0, 0.0, -1.0},
305  { 3, 0, 2, 0, 1, -502.0, 0.0, 3.0, 250.0, 0.0, 2.0},
306  { 0, 1,-2, 2, 0, -875.0, 0.0, 1.0, 29.0, 0.0, 0.0},
307  {-1, 0, 0,-2, 1, -492.0, 0.0, -3.0, 275.0, 0.0, -1.0},
308  { 0, 1, 2, 2, 2, 535.0, 0.0, -2.0, -228.0, 0.0, -1.0},
309  {-1,-1, 2, 2, 1, -467.0, 0.0, 1.0, 240.0, 0.0, 1.0},
310 
311  /* 111-120 */
312  { 0,-1, 0, 0, 2, 591.0, 0.0, 0.0, -253.0, 0.0, 0.0},
313  { 1, 0, 2,-4, 1, -453.0, 0.0, -1.0, 244.0, 0.0, -1.0},
314  {-1, 0,-2, 2, 0, 766.0, 0.0, 1.0, 9.0, 0.0, 0.0},
315  { 0,-1, 2, 2, 1, -446.0, 0.0, 2.0, 225.0, 0.0, 1.0},
316  { 2,-1, 2, 0, 2, -488.0, 0.0, 2.0, 207.0, 0.0, 1.0},
317  { 0, 0, 0, 2, 2, -468.0, 0.0, 0.0, 201.0, 0.0, 0.0},
318  { 1,-1, 2, 0, 1, -421.0, 0.0, 1.0, 216.0, 0.0, 1.0},
319  {-1, 1, 2, 0, 2, 463.0, 0.0, 0.0, -200.0, 0.0, 0.0},
320  { 0, 1, 0, 2, 0, -673.0, 0.0, 2.0, 14.0, 0.0, 0.0},
321  { 0,-1,-2, 2, 0, 658.0, 0.0, 0.0, -2.0, 0.0, 0.0},
322 
323  /* 121-130 */
324  { 0, 3, 2,-2, 2, -438.0, 0.0, 0.0, 188.0, 0.0, 0.0},
325  { 0, 0, 0, 1, 1, -390.0, 0.0, 0.0, 205.0, 0.0, 0.0},
326  {-1, 0, 2, 2, 0, 639.0, -11.0, -2.0, -19.0, 0.0, 0.0},
327  { 2, 1, 2, 0, 2, 412.0, 0.0, -2.0, -176.0, 0.0, -1.0},
328  { 1, 1, 0, 0, 1, -361.0, 0.0, 0.0, 189.0, 0.0, 0.0},
329  { 1, 1, 2, 0, 1, 360.0, 0.0, -1.0, -185.0, 0.0, -1.0},
330  { 2, 0, 0, 2, 0, 588.0, 0.0, -3.0, -24.0, 0.0, 0.0},
331  { 1, 0,-2, 2, 0, -578.0, 0.0, 1.0, 5.0, 0.0, 0.0},
332  {-1, 0, 0, 2, 2, -396.0, 0.0, 0.0, 171.0, 0.0, 0.0},
333  { 0, 1, 0, 1, 0, 565.0, 0.0, -1.0, -6.0, 0.0, 0.0},
334 
335  /* 131-140 */
336  { 0, 1, 0,-2, 1, -335.0, 0.0, -1.0, 184.0, 0.0, -1.0},
337  {-1, 0, 2,-2, 2, 357.0, 0.0, 1.0, -154.0, 0.0, 0.0},
338  { 0, 0, 0,-1, 1, 321.0, 0.0, 1.0, -174.0, 0.0, 0.0},
339  {-1, 1, 0, 0, 1, -301.0, 0.0, -1.0, 162.0, 0.0, 0.0},
340  { 1, 0, 2,-1, 2, -334.0, 0.0, 0.0, 144.0, 0.0, 0.0},
341  { 1,-1, 0, 2, 0, 493.0, 0.0, -2.0, -15.0, 0.0, 0.0},
342  { 0, 0, 0, 4, 0, 494.0, 0.0, -2.0, -19.0, 0.0, 0.0},
343  { 1, 0, 2, 1, 2, 337.0, 0.0, -1.0, -143.0, 0.0, -1.0},
344  { 0, 0, 2, 1, 1, 280.0, 0.0, -1.0, -144.0, 0.0, 0.0},
345  { 1, 0, 0,-2, 2, 309.0, 0.0, 1.0, -134.0, 0.0, 0.0},
346 
347  /* 141-150 */
348  {-1, 0, 2, 4, 1, -263.0, 0.0, 2.0, 131.0, 0.0, 1.0},
349  { 1, 0,-2, 0, 1, 253.0, 0.0, 1.0, -138.0, 0.0, 0.0},
350  { 1, 1, 2,-2, 1, 245.0, 0.0, 0.0, -128.0, 0.0, 0.0},
351  { 0, 0, 2, 2, 0, 416.0, 0.0, -2.0, -17.0, 0.0, 0.0},
352  {-1, 0, 2,-1, 1, -229.0, 0.0, 0.0, 128.0, 0.0, 0.0},
353  {-2, 0, 2, 2, 1, 231.0, 0.0, 0.0, -120.0, 0.0, 0.0},
354  { 4, 0, 2, 0, 2, -259.0, 0.0, 2.0, 109.0, 0.0, 1.0},
355  { 2,-1, 0, 0, 0, 375.0, 0.0, -1.0, -8.0, 0.0, 0.0},
356  { 2, 1, 2,-2, 2, 252.0, 0.0, 0.0, -108.0, 0.0, 0.0},
357  { 0, 1, 2, 1, 2, -245.0, 0.0, 1.0, 104.0, 0.0, 0.0},
358 
359  /* 151-160 */
360  { 1, 0, 4,-2, 2, 243.0, 0.0, -1.0, -104.0, 0.0, 0.0},
361  {-1,-1, 0, 0, 1, 208.0, 0.0, 1.0, -112.0, 0.0, 0.0},
362  { 0, 1, 0, 2, 1, 199.0, 0.0, 0.0, -102.0, 0.0, 0.0},
363  {-2, 0, 2, 4, 1, -208.0, 0.0, 1.0, 105.0, 0.0, 0.0},
364  { 2, 0, 2, 0, 0, 335.0, 0.0, -2.0, -14.0, 0.0, 0.0},
365  { 1, 0, 0, 1, 0, -325.0, 0.0, 1.0, 7.0, 0.0, 0.0},
366  {-1, 0, 0, 4, 1, -187.0, 0.0, 0.0, 96.0, 0.0, 0.0},
367  {-1, 0, 4, 0, 1, 197.0, 0.0, -1.0, -100.0, 0.0, 0.0},
368  { 2, 0, 2, 2, 1, -192.0, 0.0, 2.0, 94.0, 0.0, 1.0},
369  { 0, 0, 2,-3, 2, -188.0, 0.0, 0.0, 83.0, 0.0, 0.0},
370 
371  /* 161-170 */
372  {-1,-2, 0, 2, 0, 276.0, 0.0, 0.0, -2.0, 0.0, 0.0},
373  { 2, 1, 0, 0, 0, -286.0, 0.0, 1.0, 6.0, 0.0, 0.0},
374  { 0, 0, 4, 0, 2, 186.0, 0.0, -1.0, -79.0, 0.0, 0.0},
375  { 0, 0, 0, 0, 3, -219.0, 0.0, 0.0, 43.0, 0.0, 0.0},
376  { 0, 3, 0, 0, 0, 276.0, 0.0, 0.0, 2.0, 0.0, 0.0},
377  { 0, 0, 2,-4, 1, -153.0, 0.0, -1.0, 84.0, 0.0, 0.0},
378  { 0,-1, 0, 2, 1, -156.0, 0.0, 0.0, 81.0, 0.0, 0.0},
379  { 0, 0, 0, 4, 1, -154.0, 0.0, 1.0, 78.0, 0.0, 0.0},
380  {-1,-1, 2, 4, 2, -174.0, 0.0, 1.0, 75.0, 0.0, 0.0},
381  { 1, 0, 2, 4, 2, -163.0, 0.0, 2.0, 69.0, 0.0, 1.0},
382 
383  /* 171-180 */
384  {-2, 2, 0, 2, 0, -228.0, 0.0, 0.0, 1.0, 0.0, 0.0},
385  {-2,-1, 2, 0, 1, 91.0, 0.0, -4.0, -54.0, 0.0, -2.0},
386  {-2, 0, 0, 2, 2, 175.0, 0.0, 0.0, -75.0, 0.0, 0.0},
387  {-1,-1, 2, 0, 2, -159.0, 0.0, 0.0, 69.0, 0.0, 0.0},
388  { 0, 0, 4,-2, 1, 141.0, 0.0, 0.0, -72.0, 0.0, 0.0},
389  { 3, 0, 2,-2, 1, 147.0, 0.0, 0.0, -75.0, 0.0, 0.0},
390  {-2,-1, 0, 2, 1, -132.0, 0.0, 0.0, 69.0, 0.0, 0.0},
391  { 1, 0, 0,-1, 1, 159.0, 0.0, -28.0, -54.0, 0.0, 11.0},
392  { 0,-2, 0, 2, 0, 213.0, 0.0, 0.0, -4.0, 0.0, 0.0},
393  {-2, 0, 0, 4, 1, 123.0, 0.0, 0.0, -64.0, 0.0, 0.0},
394 
395  /* 181-190 */
396  {-3, 0, 0, 0, 1, -118.0, 0.0, -1.0, 66.0, 0.0, 0.0},
397  { 1, 1, 2, 2, 2, 144.0, 0.0, -1.0, -61.0, 0.0, 0.0},
398  { 0, 0, 2, 4, 1, -121.0, 0.0, 1.0, 60.0, 0.0, 0.0},
399  { 3, 0, 2, 2, 2, -134.0, 0.0, 1.0, 56.0, 0.0, 1.0},
400  {-1, 1, 2,-2, 1, -105.0, 0.0, 0.0, 57.0, 0.0, 0.0},
401  { 2, 0, 0,-4, 1, -102.0, 0.0, 0.0, 56.0, 0.0, 0.0},
402  { 0, 0, 0,-2, 2, 120.0, 0.0, 0.0, -52.0, 0.0, 0.0},
403  { 2, 0, 2,-4, 1, 101.0, 0.0, 0.0, -54.0, 0.0, 0.0},
404  {-1, 1, 0, 2, 1, -113.0, 0.0, 0.0, 59.0, 0.0, 0.0},
405  { 0, 0, 2,-1, 1, -106.0, 0.0, 0.0, 61.0, 0.0, 0.0},
406 
407  /* 191-200 */
408  { 0,-2, 2, 2, 2, -129.0, 0.0, 1.0, 55.0, 0.0, 0.0},
409  { 2, 0, 0, 2, 1, -114.0, 0.0, 0.0, 57.0, 0.0, 0.0},
410  { 4, 0, 2,-2, 2, 113.0, 0.0, -1.0, -49.0, 0.0, 0.0},
411  { 2, 0, 0,-2, 2, -102.0, 0.0, 0.0, 44.0, 0.0, 0.0},
412  { 0, 2, 0, 0, 1, -94.0, 0.0, 0.0, 51.0, 0.0, 0.0},
413  { 1, 0, 0,-4, 1, -100.0, 0.0, -1.0, 56.0, 0.0, 0.0},
414  { 0, 2, 2,-2, 1, 87.0, 0.0, 0.0, -47.0, 0.0, 0.0},
415  {-3, 0, 0, 4, 0, 161.0, 0.0, 0.0, -1.0, 0.0, 0.0},
416  {-1, 1, 2, 0, 1, 96.0, 0.0, 0.0, -50.0, 0.0, 0.0},
417  {-1,-1, 0, 4, 0, 151.0, 0.0, -1.0, -5.0, 0.0, 0.0},
418 
419  /* 201-210 */
420  {-1,-2, 2, 2, 2, -104.0, 0.0, 0.0, 44.0, 0.0, 0.0},
421  {-2,-1, 2, 4, 2, -110.0, 0.0, 0.0, 48.0, 0.0, 0.0},
422  { 1,-1, 2, 2, 1, -100.0, 0.0, 1.0, 50.0, 0.0, 0.0},
423  {-2, 1, 0, 2, 0, 92.0, 0.0, -5.0, 12.0, 0.0, -2.0},
424  {-2, 1, 2, 0, 1, 82.0, 0.0, 0.0, -45.0, 0.0, 0.0},
425  { 2, 1, 0,-2, 1, 82.0, 0.0, 0.0, -45.0, 0.0, 0.0},
426  {-3, 0, 2, 0, 1, -78.0, 0.0, 0.0, 41.0, 0.0, 0.0},
427  {-2, 0, 2,-2, 1, -77.0, 0.0, 0.0, 43.0, 0.0, 0.0},
428  {-1, 1, 0, 2, 2, 2.0, 0.0, 0.0, 54.0, 0.0, 0.0},
429  { 0,-1, 2,-1, 2, 94.0, 0.0, 0.0, -40.0, 0.0, 0.0},
430 
431  /* 211-220 */
432  {-1, 0, 4,-2, 2, -93.0, 0.0, 0.0, 40.0, 0.0, 0.0},
433  { 0,-2, 2, 0, 2, -83.0, 0.0, 10.0, 40.0, 0.0, -2.0},
434  {-1, 0, 2, 1, 2, 83.0, 0.0, 0.0, -36.0, 0.0, 0.0},
435  { 2, 0, 0, 0, 2, -91.0, 0.0, 0.0, 39.0, 0.0, 0.0},
436  { 0, 0, 2, 0, 3, 128.0, 0.0, 0.0, -1.0, 0.0, 0.0},
437  {-2, 0, 4, 0, 2, -79.0, 0.0, 0.0, 34.0, 0.0, 0.0},
438  {-1, 0,-2, 0, 1, -83.0, 0.0, 0.0, 47.0, 0.0, 0.0},
439  {-1, 1, 2, 2, 1, 84.0, 0.0, 0.0, -44.0, 0.0, 0.0},
440  { 3, 0, 0, 0, 1, 83.0, 0.0, 0.0, -43.0, 0.0, 0.0},
441  {-1, 0, 2, 3, 2, 91.0, 0.0, 0.0, -39.0, 0.0, 0.0},
442 
443  /* 221-230 */
444  { 2,-1, 2, 0, 1, -77.0, 0.0, 0.0, 39.0, 0.0, 0.0},
445  { 0, 1, 2, 2, 1, 84.0, 0.0, 0.0, -43.0, 0.0, 0.0},
446  { 0,-1, 2, 4, 2, -92.0, 0.0, 1.0, 39.0, 0.0, 0.0},
447  { 2,-1, 2, 2, 2, -92.0, 0.0, 1.0, 39.0, 0.0, 0.0},
448  { 0, 2,-2, 2, 0, -94.0, 0.0, 0.0, 0.0, 0.0, 0.0},
449  {-1,-1, 2,-1, 1, 68.0, 0.0, 0.0, -36.0, 0.0, 0.0},
450  { 0,-2, 0, 0, 1, -61.0, 0.0, 0.0, 32.0, 0.0, 0.0},
451  { 1, 0, 2,-4, 2, 71.0, 0.0, 0.0, -31.0, 0.0, 0.0},
452  { 1,-1, 0,-2, 1, 62.0, 0.0, 0.0, -34.0, 0.0, 0.0},
453  {-1,-1, 2, 0, 1, -63.0, 0.0, 0.0, 33.0, 0.0, 0.0},
454 
455  /* 231-240 */
456  { 1,-1, 2,-2, 2, -73.0, 0.0, 0.0, 32.0, 0.0, 0.0},
457  {-2,-1, 0, 4, 0, 115.0, 0.0, 0.0, -2.0, 0.0, 0.0},
458  {-1, 0, 0, 3, 0, -103.0, 0.0, 0.0, 2.0, 0.0, 0.0},
459  {-2,-1, 2, 2, 2, 63.0, 0.0, 0.0, -28.0, 0.0, 0.0},
460  { 0, 2, 2, 0, 2, 74.0, 0.0, 0.0, -32.0, 0.0, 0.0},
461  { 1, 1, 0, 2, 0, -103.0, 0.0, -3.0, 3.0, 0.0, -1.0},
462  { 2, 0, 2,-1, 2, -69.0, 0.0, 0.0, 30.0, 0.0, 0.0},
463  { 1, 0, 2, 1, 1, 57.0, 0.0, 0.0, -29.0, 0.0, 0.0},
464  { 4, 0, 0, 0, 0, 94.0, 0.0, 0.0, -4.0, 0.0, 0.0},
465  { 2, 1, 2, 0, 1, 64.0, 0.0, 0.0, -33.0, 0.0, 0.0},
466 
467  /* 241-250 */
468  { 3,-1, 2, 0, 2, -63.0, 0.0, 0.0, 26.0, 0.0, 0.0},
469  {-2, 2, 0, 2, 1, -38.0, 0.0, 0.0, 20.0, 0.0, 0.0},
470  { 1, 0, 2,-3, 1, -43.0, 0.0, 0.0, 24.0, 0.0, 0.0},
471  { 1, 1, 2,-4, 1, -45.0, 0.0, 0.0, 23.0, 0.0, 0.0},
472  {-1,-1, 2,-2, 1, 47.0, 0.0, 0.0, -24.0, 0.0, 0.0},
473  { 0,-1, 0,-1, 1, -48.0, 0.0, 0.0, 25.0, 0.0, 0.0},
474  { 0,-1, 0,-2, 1, 45.0, 0.0, 0.0, -26.0, 0.0, 0.0},
475  {-2, 0, 0, 0, 2, 56.0, 0.0, 0.0, -25.0, 0.0, 0.0},
476  {-2, 0,-2, 2, 0, 88.0, 0.0, 0.0, 2.0, 0.0, 0.0},
477  {-1, 0,-2, 4, 0, -75.0, 0.0, 0.0, 0.0, 0.0, 0.0},
478 
479  /* 251-260 */
480  { 1,-2, 0, 0, 0, 85.0, 0.0, 0.0, 0.0, 0.0, 0.0},
481  { 0, 1, 0, 1, 1, 49.0, 0.0, 0.0, -26.0, 0.0, 0.0},
482  {-1, 2, 0, 2, 0, -74.0, 0.0, -3.0, -1.0, 0.0, -1.0},
483  { 1,-1, 2,-2, 1, -39.0, 0.0, 0.0, 21.0, 0.0, 0.0},
484  { 1, 2, 2,-2, 2, 45.0, 0.0, 0.0, -20.0, 0.0, 0.0},
485  { 2,-1, 2,-2, 2, 51.0, 0.0, 0.0, -22.0, 0.0, 0.0},
486  { 1, 0, 2,-1, 1, -40.0, 0.0, 0.0, 21.0, 0.0, 0.0},
487  { 2, 1, 2,-2, 1, 41.0, 0.0, 0.0, -21.0, 0.0, 0.0},
488  {-2, 0, 0,-2, 1, -42.0, 0.0, 0.0, 24.0, 0.0, 0.0},
489  { 1,-2, 2, 0, 2, -51.0, 0.0, 0.0, 22.0, 0.0, 0.0},
490 
491  /* 261-270 */
492  { 0, 1, 2, 1, 1, -42.0, 0.0, 0.0, 22.0, 0.0, 0.0},
493  { 1, 0, 4,-2, 1, 39.0, 0.0, 0.0, -21.0, 0.0, 0.0},
494  {-2, 0, 4, 2, 2, 46.0, 0.0, 0.0, -18.0, 0.0, 0.0},
495  { 1, 1, 2, 1, 2, -53.0, 0.0, 0.0, 22.0, 0.0, 0.0},
496  { 1, 0, 0, 4, 0, 82.0, 0.0, 0.0, -4.0, 0.0, 0.0},
497  { 1, 0, 2, 2, 0, 81.0, 0.0, -1.0, -4.0, 0.0, 0.0},
498  { 2, 0, 2, 1, 2, 47.0, 0.0, 0.0, -19.0, 0.0, 0.0},
499  { 3, 1, 2, 0, 2, 53.0, 0.0, 0.0, -23.0, 0.0, 0.0},
500  { 4, 0, 2, 0, 1, -45.0, 0.0, 0.0, 22.0, 0.0, 0.0},
501  {-2,-1, 2, 0, 0, -44.0, 0.0, 0.0, -2.0, 0.0, 0.0},
502 
503  /* 271-280 */
504  { 0, 1,-2, 2, 1, -33.0, 0.0, 0.0, 16.0, 0.0, 0.0},
505  { 1, 0,-2, 1, 0, -61.0, 0.0, 0.0, 1.0, 0.0, 0.0},
506  { 0,-1,-2, 2, 1, 28.0, 0.0, 0.0, -15.0, 0.0, 0.0},
507  { 2,-1, 0,-2, 1, -38.0, 0.0, 0.0, 19.0, 0.0, 0.0},
508  {-1, 0, 2,-1, 2, -33.0, 0.0, 0.0, 21.0, 0.0, 0.0},
509  { 1, 0, 2,-3, 2, -60.0, 0.0, 0.0, 0.0, 0.0, 0.0},
510  { 0, 1, 2,-2, 3, 48.0, 0.0, 0.0, -10.0, 0.0, 0.0},
511  { 0, 0, 2,-3, 1, 27.0, 0.0, 0.0, -14.0, 0.0, 0.0},
512  {-1, 0,-2, 2, 1, 38.0, 0.0, 0.0, -20.0, 0.0, 0.0},
513  { 0, 0, 2,-4, 2, 31.0, 0.0, 0.0, -13.0, 0.0, 0.0},
514 
515  /* 281-290 */
516  {-2, 1, 0, 0, 1, -29.0, 0.0, 0.0, 15.0, 0.0, 0.0},
517  {-1, 0, 0,-1, 1, 28.0, 0.0, 0.0, -15.0, 0.0, 0.0},
518  { 2, 0, 2,-4, 2, -32.0, 0.0, 0.0, 15.0, 0.0, 0.0},
519  { 0, 0, 4,-4, 4, 45.0, 0.0, 0.0, -8.0, 0.0, 0.0},
520  { 0, 0, 4,-4, 2, -44.0, 0.0, 0.0, 19.0, 0.0, 0.0},
521  {-1,-2, 0, 2, 1, 28.0, 0.0, 0.0, -15.0, 0.0, 0.0},
522  {-2, 0, 0, 3, 0, -51.0, 0.0, 0.0, 0.0, 0.0, 0.0},
523  { 1, 0,-2, 2, 1, -36.0, 0.0, 0.0, 20.0, 0.0, 0.0},
524  {-3, 0, 2, 2, 2, 44.0, 0.0, 0.0, -19.0, 0.0, 0.0},
525  {-3, 0, 2, 2, 1, 26.0, 0.0, 0.0, -14.0, 0.0, 0.0},
526 
527  /* 291-300 */
528  {-2, 0, 2, 2, 0, -60.0, 0.0, 0.0, 2.0, 0.0, 0.0},
529  { 2,-1, 0, 0, 1, 35.0, 0.0, 0.0, -18.0, 0.0, 0.0},
530  {-2, 1, 2, 2, 2, -27.0, 0.0, 0.0, 11.0, 0.0, 0.0},
531  { 1, 1, 0, 1, 0, 47.0, 0.0, 0.0, -1.0, 0.0, 0.0},
532  { 0, 1, 4,-2, 2, 36.0, 0.0, 0.0, -15.0, 0.0, 0.0},
533  {-1, 1, 0,-2, 1, -36.0, 0.0, 0.0, 20.0, 0.0, 0.0},
534  { 0, 0, 0,-4, 1, -35.0, 0.0, 0.0, 19.0, 0.0, 0.0},
535  { 1,-1, 0, 2, 1, -37.0, 0.0, 0.0, 19.0, 0.0, 0.0},
536  { 1, 1, 0, 2, 1, 32.0, 0.0, 0.0, -16.0, 0.0, 0.0},
537  {-1, 2, 2, 2, 2, 35.0, 0.0, 0.0, -14.0, 0.0, 0.0},
538 
539  /* 301-310 */
540  { 3, 1, 2,-2, 2, 32.0, 0.0, 0.0, -13.0, 0.0, 0.0},
541  { 0,-1, 0, 4, 0, 65.0, 0.0, 0.0, -2.0, 0.0, 0.0},
542  { 2,-1, 0, 2, 0, 47.0, 0.0, 0.0, -1.0, 0.0, 0.0},
543  { 0, 0, 4, 0, 1, 32.0, 0.0, 0.0, -16.0, 0.0, 0.0},
544  { 2, 0, 4,-2, 2, 37.0, 0.0, 0.0, -16.0, 0.0, 0.0},
545  {-1,-1, 2, 4, 1, -30.0, 0.0, 0.0, 15.0, 0.0, 0.0},
546  { 1, 0, 0, 4, 1, -32.0, 0.0, 0.0, 16.0, 0.0, 0.0},
547  { 1,-2, 2, 2, 2, -31.0, 0.0, 0.0, 13.0, 0.0, 0.0},
548  { 0, 0, 2, 3, 2, 37.0, 0.0, 0.0, -16.0, 0.0, 0.0},
549  {-1, 1, 2, 4, 2, 31.0, 0.0, 0.0, -13.0, 0.0, 0.0},
550 
551  /* 311-320 */
552  { 3, 0, 0, 2, 0, 49.0, 0.0, 0.0, -2.0, 0.0, 0.0},
553  {-1, 0, 4, 2, 2, 32.0, 0.0, 0.0, -13.0, 0.0, 0.0},
554  { 1, 1, 2, 2, 1, 23.0, 0.0, 0.0, -12.0, 0.0, 0.0},
555  {-2, 0, 2, 6, 2, -43.0, 0.0, 0.0, 18.0, 0.0, 0.0},
556  { 2, 1, 2, 2, 2, 26.0, 0.0, 0.0, -11.0, 0.0, 0.0},
557  {-1, 0, 2, 6, 2, -32.0, 0.0, 0.0, 14.0, 0.0, 0.0},
558  { 1, 0, 2, 4, 1, -29.0, 0.0, 0.0, 14.0, 0.0, 0.0},
559  { 2, 0, 2, 4, 2, -27.0, 0.0, 0.0, 12.0, 0.0, 0.0},
560  { 1, 1,-2, 1, 0, 30.0, 0.0, 0.0, 0.0, 0.0, 0.0},
561  {-3, 1, 2, 1, 2, -11.0, 0.0, 0.0, 5.0, 0.0, 0.0},
562 
563  /* 321-330 */
564  { 2, 0,-2, 0, 2, -21.0, 0.0, 0.0, 10.0, 0.0, 0.0},
565  {-1, 0, 0, 1, 2, -34.0, 0.0, 0.0, 15.0, 0.0, 0.0},
566  {-4, 0, 2, 2, 1, -10.0, 0.0, 0.0, 6.0, 0.0, 0.0},
567  {-1,-1, 0, 1, 0, -36.0, 0.0, 0.0, 0.0, 0.0, 0.0},
568  { 0, 0,-2, 2, 2, -9.0, 0.0, 0.0, 4.0, 0.0, 0.0},
569  { 1, 0, 0,-1, 2, -12.0, 0.0, 0.0, 5.0, 0.0, 0.0},
570  { 0,-1, 2,-2, 3, -21.0, 0.0, 0.0, 5.0, 0.0, 0.0},
571  {-2, 1, 2, 0, 0, -29.0, 0.0, 0.0, -1.0, 0.0, 0.0},
572  { 0, 0, 2,-2, 4, -15.0, 0.0, 0.0, 3.0, 0.0, 0.0},
573  {-2,-2, 0, 2, 0, -20.0, 0.0, 0.0, 0.0, 0.0, 0.0},
574 
575  /* 331-340 */
576  {-2, 0,-2, 4, 0, 28.0, 0.0, 0.0, 0.0, 0.0, -2.0},
577  { 0,-2,-2, 2, 0, 17.0, 0.0, 0.0, 0.0, 0.0, 0.0},
578  { 1, 2, 0,-2, 1, -22.0, 0.0, 0.0, 12.0, 0.0, 0.0},
579  { 3, 0, 0,-4, 1, -14.0, 0.0, 0.0, 7.0, 0.0, 0.0},
580  {-1, 1, 2,-2, 2, 24.0, 0.0, 0.0, -11.0, 0.0, 0.0},
581  { 1,-1, 2,-4, 1, 11.0, 0.0, 0.0, -6.0, 0.0, 0.0},
582  { 1, 1, 0,-2, 2, 14.0, 0.0, 0.0, -6.0, 0.0, 0.0},
583  {-3, 0, 2, 0, 0, 24.0, 0.0, 0.0, 0.0, 0.0, 0.0},
584  {-3, 0, 2, 0, 2, 18.0, 0.0, 0.0, -8.0, 0.0, 0.0},
585  {-2, 0, 0, 1, 0, -38.0, 0.0, 0.0, 0.0, 0.0, 0.0},
586 
587  /* 341-350 */
588  { 0, 0,-2, 1, 0, -31.0, 0.0, 0.0, 0.0, 0.0, 0.0},
589  {-3, 0, 0, 2, 1, -16.0, 0.0, 0.0, 8.0, 0.0, 0.0},
590  {-1,-1,-2, 2, 0, 29.0, 0.0, 0.0, 0.0, 0.0, 0.0},
591  { 0, 1, 2,-4, 1, -18.0, 0.0, 0.0, 10.0, 0.0, 0.0},
592  { 2, 1, 0,-4, 1, -10.0, 0.0, 0.0, 5.0, 0.0, 0.0},
593  { 0, 2, 0,-2, 1, -17.0, 0.0, 0.0, 10.0, 0.0, 0.0},
594  { 1, 0, 0,-3, 1, 9.0, 0.0, 0.0, -4.0, 0.0, 0.0},
595  {-2, 0, 2,-2, 2, 16.0, 0.0, 0.0, -6.0, 0.0, 0.0},
596  {-2,-1, 0, 0, 1, 22.0, 0.0, 0.0, -12.0, 0.0, 0.0},
597  {-4, 0, 0, 2, 0, 20.0, 0.0, 0.0, 0.0, 0.0, 0.0},
598 
599  /* 351-360 */
600  { 1, 1, 0,-4, 1, -13.0, 0.0, 0.0, 6.0, 0.0, 0.0},
601  {-1, 0, 2,-4, 1, -17.0, 0.0, 0.0, 9.0, 0.0, 0.0},
602  { 0, 0, 4,-4, 1, -14.0, 0.0, 0.0, 8.0, 0.0, 0.0},
603  { 0, 3, 2,-2, 2, 0.0, 0.0, 0.0, -7.0, 0.0, 0.0},
604  {-3,-1, 0, 4, 0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0},
605  {-3, 0, 0, 4, 1, 19.0, 0.0, 0.0, -10.0, 0.0, 0.0},
606  { 1,-1,-2, 2, 0, -34.0, 0.0, 0.0, 0.0, 0.0, 0.0},
607  {-1,-1, 0, 2, 2, -20.0, 0.0, 0.0, 8.0, 0.0, 0.0},
608  { 1,-2, 0, 0, 1, 9.0, 0.0, 0.0, -5.0, 0.0, 0.0},
609  { 1,-1, 0, 0, 2, -18.0, 0.0, 0.0, 7.0, 0.0, 0.0},
610 
611  /* 361-370 */
612  { 0, 0, 0, 1, 2, 13.0, 0.0, 0.0, -6.0, 0.0, 0.0},
613  {-1,-1, 2, 0, 0, 17.0, 0.0, 0.0, 0.0, 0.0, 0.0},
614  { 1,-2, 2,-2, 2, -12.0, 0.0, 0.0, 5.0, 0.0, 0.0},
615  { 0,-1, 2,-1, 1, 15.0, 0.0, 0.0, -8.0, 0.0, 0.0},
616  {-1, 0, 2, 0, 3, -11.0, 0.0, 0.0, 3.0, 0.0, 0.0},
617  { 1, 1, 0, 0, 2, 13.0, 0.0, 0.0, -5.0, 0.0, 0.0},
618  {-1, 1, 2, 0, 0, -18.0, 0.0, 0.0, 0.0, 0.0, 0.0},
619  { 1, 2, 0, 0, 0, -35.0, 0.0, 0.0, 0.0, 0.0, 0.0},
620  {-1, 2, 2, 0, 2, 9.0, 0.0, 0.0, -4.0, 0.0, 0.0},
621  {-1, 0, 4,-2, 1, -19.0, 0.0, 0.0, 10.0, 0.0, 0.0},
622 
623  /* 371-380 */
624  { 3, 0, 2,-4, 2, -26.0, 0.0, 0.0, 11.0, 0.0, 0.0},
625  { 1, 2, 2,-2, 1, 8.0, 0.0, 0.0, -4.0, 0.0, 0.0},
626  { 1, 0, 4,-4, 2, -10.0, 0.0, 0.0, 4.0, 0.0, 0.0},
627  {-2,-1, 0, 4, 1, 10.0, 0.0, 0.0, -6.0, 0.0, 0.0},
628  { 0,-1, 0, 2, 2, -21.0, 0.0, 0.0, 9.0, 0.0, 0.0},
629  {-2, 1, 0, 4, 0, -15.0, 0.0, 0.0, 0.0, 0.0, 0.0},
630  {-2,-1, 2, 2, 1, 9.0, 0.0, 0.0, -5.0, 0.0, 0.0},
631  { 2, 0,-2, 2, 0, -29.0, 0.0, 0.0, 0.0, 0.0, 0.0},
632  { 1, 0, 0, 1, 1, -19.0, 0.0, 0.0, 10.0, 0.0, 0.0},
633  { 0, 1, 0, 2, 2, 12.0, 0.0, 0.0, -5.0, 0.0, 0.0},
634 
635  /* 381-390 */
636  { 1,-1, 2,-1, 2, 22.0, 0.0, 0.0, -9.0, 0.0, 0.0},
637  {-2, 0, 4, 0, 1, -10.0, 0.0, 0.0, 5.0, 0.0, 0.0},
638  { 2, 1, 0, 0, 1, -20.0, 0.0, 0.0, 11.0, 0.0, 0.0},
639  { 0, 1, 2, 0, 0, -20.0, 0.0, 0.0, 0.0, 0.0, 0.0},
640  { 0,-1, 4,-2, 2, -17.0, 0.0, 0.0, 7.0, 0.0, 0.0},
641  { 0, 0, 4,-2, 4, 15.0, 0.0, 0.0, -3.0, 0.0, 0.0},
642  { 0, 2, 2, 0, 1, 8.0, 0.0, 0.0, -4.0, 0.0, 0.0},
643  {-3, 0, 0, 6, 0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0},
644  {-1,-1, 0, 4, 1, -12.0, 0.0, 0.0, 6.0, 0.0, 0.0},
645  { 1,-2, 0, 2, 0, 25.0, 0.0, 0.0, 0.0, 0.0, 0.0},
646 
647  /* 391-400 */
648  {-1, 0, 0, 4, 2, -13.0, 0.0, 0.0, 6.0, 0.0, 0.0},
649  {-1,-2, 2, 2, 1, -14.0, 0.0, 0.0, 8.0, 0.0, 0.0},
650  {-1, 0, 0,-2, 2, 13.0, 0.0, 0.0, -5.0, 0.0, 0.0},
651  { 1, 0,-2,-2, 1, -17.0, 0.0, 0.0, 9.0, 0.0, 0.0},
652  { 0, 0,-2,-2, 1, -12.0, 0.0, 0.0, 6.0, 0.0, 0.0},
653  {-2, 0,-2, 0, 1, -10.0, 0.0, 0.0, 5.0, 0.0, 0.0},
654  { 0, 0, 0, 3, 1, 10.0, 0.0, 0.0, -6.0, 0.0, 0.0},
655  { 0, 0, 0, 3, 0, -15.0, 0.0, 0.0, 0.0, 0.0, 0.0},
656  {-1, 1, 0, 4, 0, -22.0, 0.0, 0.0, 0.0, 0.0, 0.0},
657  {-1,-1, 2, 2, 0, 28.0, 0.0, 0.0, -1.0, 0.0, 0.0},
658 
659  /* 401-410 */
660  {-2, 0, 2, 3, 2, 15.0, 0.0, 0.0, -7.0, 0.0, 0.0},
661  { 1, 0, 0, 2, 2, 23.0, 0.0, 0.0, -10.0, 0.0, 0.0},
662  { 0,-1, 2, 1, 2, 12.0, 0.0, 0.0, -5.0, 0.0, 0.0},
663  { 3,-1, 0, 0, 0, 29.0, 0.0, 0.0, -1.0, 0.0, 0.0},
664  { 2, 0, 0, 1, 0, -25.0, 0.0, 0.0, 1.0, 0.0, 0.0},
665  { 1,-1, 2, 0, 0, 22.0, 0.0, 0.0, 0.0, 0.0, 0.0},
666  { 0, 0, 2, 1, 0, -18.0, 0.0, 0.0, 0.0, 0.0, 0.0},
667  { 1, 0, 2, 0, 3, 15.0, 0.0, 0.0, 3.0, 0.0, 0.0},
668  { 3, 1, 0, 0, 0, -23.0, 0.0, 0.0, 0.0, 0.0, 0.0},
669  { 3,-1, 2,-2, 2, 12.0, 0.0, 0.0, -5.0, 0.0, 0.0},
670 
671  /* 411-420 */
672  { 2, 0, 2,-1, 1, -8.0, 0.0, 0.0, 4.0, 0.0, 0.0},
673  { 1, 1, 2, 0, 0, -19.0, 0.0, 0.0, 0.0, 0.0, 0.0},
674  { 0, 0, 4,-1, 2, -10.0, 0.0, 0.0, 4.0, 0.0, 0.0},
675  { 1, 2, 2, 0, 2, 21.0, 0.0, 0.0, -9.0, 0.0, 0.0},
676  {-2, 0, 0, 6, 0, 23.0, 0.0, 0.0, -1.0, 0.0, 0.0},
677  { 0,-1, 0, 4, 1, -16.0, 0.0, 0.0, 8.0, 0.0, 0.0},
678  {-2,-1, 2, 4, 1, -19.0, 0.0, 0.0, 9.0, 0.0, 0.0},
679  { 0,-2, 2, 2, 1, -22.0, 0.0, 0.0, 10.0, 0.0, 0.0},
680  { 0,-1, 2, 2, 0, 27.0, 0.0, 0.0, -1.0, 0.0, 0.0},
681  {-1, 0, 2, 3, 1, 16.0, 0.0, 0.0, -8.0, 0.0, 0.0},
682 
683  /* 421-430 */
684  {-2, 1, 2, 4, 2, 19.0, 0.0, 0.0, -8.0, 0.0, 0.0},
685  { 2, 0, 0, 2, 2, 9.0, 0.0, 0.0, -4.0, 0.0, 0.0},
686  { 2,-2, 2, 0, 2, -9.0, 0.0, 0.0, 4.0, 0.0, 0.0},
687  {-1, 1, 2, 3, 2, -9.0, 0.0, 0.0, 4.0, 0.0, 0.0},
688  { 3, 0, 2,-1, 2, -8.0, 0.0, 0.0, 4.0, 0.0, 0.0},
689  { 4, 0, 2,-2, 1, 18.0, 0.0, 0.0, -9.0, 0.0, 0.0},
690  {-1, 0, 0, 6, 0, 16.0, 0.0, 0.0, -1.0, 0.0, 0.0},
691  {-1,-2, 2, 4, 2, -10.0, 0.0, 0.0, 4.0, 0.0, 0.0},
692  {-3, 0, 2, 6, 2, -23.0, 0.0, 0.0, 9.0, 0.0, 0.0},
693  {-1, 0, 2, 4, 0, 16.0, 0.0, 0.0, -1.0, 0.0, 0.0},
694 
695  /* 431-440 */
696  { 3, 0, 0, 2, 1, -12.0, 0.0, 0.0, 6.0, 0.0, 0.0},
697  { 3,-1, 2, 0, 1, -8.0, 0.0, 0.0, 4.0, 0.0, 0.0},
698  { 3, 0, 2, 0, 0, 30.0, 0.0, 0.0, -2.0, 0.0, 0.0},
699  { 1, 0, 4, 0, 2, 24.0, 0.0, 0.0, -10.0, 0.0, 0.0},
700  { 5, 0, 2,-2, 2, 10.0, 0.0, 0.0, -4.0, 0.0, 0.0},
701  { 0,-1, 2, 4, 1, -16.0, 0.0, 0.0, 7.0, 0.0, 0.0},
702  { 2,-1, 2, 2, 1, -16.0, 0.0, 0.0, 7.0, 0.0, 0.0},
703  { 0, 1, 2, 4, 2, 17.0, 0.0, 0.0, -7.0, 0.0, 0.0},
704  { 1,-1, 2, 4, 2, -24.0, 0.0, 0.0, 10.0, 0.0, 0.0},
705  { 3,-1, 2, 2, 2, -12.0, 0.0, 0.0, 5.0, 0.0, 0.0},
706 
707  /* 441-450 */
708  { 3, 0, 2, 2, 1, -24.0, 0.0, 0.0, 11.0, 0.0, 0.0},
709  { 5, 0, 2, 0, 2, -23.0, 0.0, 0.0, 9.0, 0.0, 0.0},
710  { 0, 0, 2, 6, 2, -13.0, 0.0, 0.0, 5.0, 0.0, 0.0},
711  { 4, 0, 2, 2, 2, -15.0, 0.0, 0.0, 7.0, 0.0, 0.0},
712  { 0,-1, 1,-1, 1, 0.0, 0.0,-1988.0, 0.0, 0.0,-1679.0},
713  {-1, 0, 1, 0, 3, 0.0, 0.0, -63.0, 0.0, 0.0, -27.0},
714  { 0,-2, 2,-2, 3, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
715  { 1, 0,-1, 0, 1, 0.0, 0.0, 5.0, 0.0, 0.0, 4.0},
716  { 2,-2, 0,-2, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0},
717  {-1, 0, 1, 0, 2, 0.0, 0.0, 364.0, 0.0, 0.0, 176.0},
718 
719  /* 451-460 */
720  {-1, 0, 1, 0, 1, 0.0, 0.0,-1044.0, 0.0, 0.0, -891.0},
721  {-1,-1, 2,-1, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0},
722  {-2, 2, 0, 2, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
723  {-1, 0, 1, 0, 0, 0.0, 0.0, 330.0, 0.0, 0.0, 0.0},
724  {-4, 1, 2, 2, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0},
725  {-3, 0, 2, 1, 1, 3.0, 0.0, 0.0, -2.0, 0.0, 0.0},
726  {-2,-1, 2, 0, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0},
727  { 1, 0,-2, 1, 1, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0},
728  { 2,-1,-2, 0, 1, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0},
729  {-4, 0, 2, 2, 0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
730 
731  /* 461-470 */
732  {-3, 1, 0, 3, 0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
733  {-1, 0,-1, 2, 0, 0.0, 0.0, 5.0, 0.0, 0.0, 0.0},
734  { 0,-2, 0, 0, 2, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0},
735  { 0,-2, 0, 0, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
736  {-3, 0, 0, 3, 0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0},
737  {-2,-1, 0, 2, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0},
738  {-1, 0,-2, 3, 0, -7.0, 0.0, 0.0, 0.0, 0.0, 0.0},
739  {-4, 0, 0, 4, 0, -12.0, 0.0, 0.0, 0.0, 0.0, 0.0},
740  { 2, 1,-2, 0, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0},
741  { 2,-1, 0,-2, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0},
742 
743  /* 471-480 */
744  { 0, 0, 1,-1, 0, -5.0, 0.0, 0.0, 0.0, 0.0, 0.0},
745  {-1, 2, 0, 1, 0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
746  {-2, 1, 2, 0, 2, -7.0, 0.0, 0.0, 3.0, 0.0, 0.0},
747  { 1, 1, 0,-1, 1, 7.0, 0.0, 0.0, -4.0, 0.0, 0.0},
748  { 1, 0, 1,-2, 1, 0.0, 0.0, -12.0, 0.0, 0.0, -10.0},
749  { 0, 2, 0, 0, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
750  { 1,-1, 2,-3, 1, 3.0, 0.0, 0.0, -2.0, 0.0, 0.0},
751  {-1, 1, 2,-1, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0},
752  {-2, 0, 4,-2, 2, -7.0, 0.0, 0.0, 3.0, 0.0, 0.0},
753  {-2, 0, 4,-2, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
754 
755  /* 481-490 */
756  {-2,-2, 0, 2, 1, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0},
757  {-2, 0,-2, 4, 0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0},
758  { 1, 2, 2,-4, 1, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0},
759  { 1, 1, 2,-4, 2, 7.0, 0.0, 0.0, -3.0, 0.0, 0.0},
760  {-1, 2, 2,-2, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
761  { 2, 0, 0,-3, 1, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
762  {-1, 2, 0, 0, 1, -5.0, 0.0, 0.0, 3.0, 0.0, 0.0},
763  { 0, 0, 0,-2, 0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0},
764  {-1,-1, 2,-2, 2, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0},
765  {-1, 1, 0, 0, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0},
766 
767  /* 491-500 */
768  { 0, 0, 0,-1, 2, -8.0, 0.0, 0.0, 3.0, 0.0, 0.0},
769  {-2, 1, 0, 1, 0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0},
770  { 1,-2, 0,-2, 1, 6.0, 0.0, 0.0, -3.0, 0.0, 0.0},
771  { 1, 0,-2, 0, 2, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0},
772  {-3, 1, 0, 2, 0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
773  {-1, 1,-2, 2, 0, -7.0, 0.0, 0.0, 0.0, 0.0, 0.0},
774  {-1,-1, 0, 0, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0},
775  {-3, 0, 0, 2, 0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0},
776  {-3,-1, 0, 2, 0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
777  { 2, 0, 2,-6, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0},
778 
779  /* 501-510 */
780  { 0, 1, 2,-4, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
781  { 2, 0, 0,-4, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0},
782  {-2, 1, 2,-2, 1, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0},
783  { 0,-1, 2,-4, 1, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
784  { 0, 1, 0,-2, 2, 9.0, 0.0, 0.0, -3.0, 0.0, 0.0},
785  {-1, 0, 0,-2, 0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
786  { 2, 0,-2,-2, 1, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
787  {-4, 0, 2, 0, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0},
788  {-1,-1, 0,-1, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
789  { 0, 0,-2, 0, 2, 9.0, 0.0, 0.0, -3.0, 0.0, 0.0},
790 
791  /* 511-520 */
792  {-3, 0, 0, 1, 0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
793  {-1, 0,-2, 1, 0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
794  {-2, 0,-2, 2, 1, 3.0, 0.0, 0.0, -2.0, 0.0, 0.0},
795  { 0, 0,-4, 2, 0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0},
796  {-2,-1,-2, 2, 0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
797  { 1, 0, 2,-6, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0},
798  {-1, 0, 2,-4, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0},
799  { 1, 0, 0,-4, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0},
800  { 2, 1, 2,-4, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0},
801  { 2, 1, 2,-4, 1, 6.0, 0.0, 0.0, -3.0, 0.0, 0.0},
802 
803  /* 521-530 */
804  { 0, 1, 4,-4, 4, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
805  { 0, 1, 4,-4, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0},
806  {-1,-1,-2, 4, 0, -7.0, 0.0, 0.0, 0.0, 0.0, 0.0},
807  {-1,-3, 0, 2, 0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0},
808  {-1, 0,-2, 4, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0},
809  {-2,-1, 0, 3, 0, -3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
810  { 0, 0,-2, 3, 0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
811  {-2, 0, 0, 3, 1, -5.0, 0.0, 0.0, 3.0, 0.0, 0.0},
812  { 0,-1, 0, 1, 0, -13.0, 0.0, 0.0, 0.0, 0.0, 0.0},
813  {-3, 0, 2, 2, 0, -7.0, 0.0, 0.0, 0.0, 0.0, 0.0},
814 
815  /* 531-540 */
816  { 1, 1,-2, 2, 0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0},
817  {-1, 1, 0, 2, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0},
818  { 1,-2, 2,-2, 1, 10.0, 0.0, 13.0, 6.0, 0.0, -5.0},
819  { 0, 0, 1, 0, 2, 0.0, 0.0, 30.0, 0.0, 0.0, 14.0},
820  { 0, 0, 1, 0, 1, 0.0, 0.0, -162.0, 0.0, 0.0, -138.0},
821  { 0, 0, 1, 0, 0, 0.0, 0.0, 75.0, 0.0, 0.0, 0.0},
822  {-1, 2, 0, 2, 1, -7.0, 0.0, 0.0, 4.0, 0.0, 0.0},
823  { 0, 0, 2, 0, 2, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
824  {-2, 0, 2, 0, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
825  { 2, 0, 0,-1, 1, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0},
826 
827  /* 541-550 */
828  { 3, 0, 0,-2, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0},
829  { 1, 0, 2,-2, 3, -3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
830  { 1, 2, 0, 0, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0},
831  { 2, 0, 2,-3, 2, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
832  {-1, 1, 4,-2, 2, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0},
833  {-2,-2, 0, 4, 0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0},
834  { 0,-3, 0, 2, 0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0},
835  { 0, 0,-2, 4, 0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0},
836  {-1,-1, 0, 3, 0, -7.0, 0.0, 0.0, 0.0, 0.0, 0.0},
837  {-2, 0, 0, 4, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0},
838 
839  /* 551-560 */
840  {-1, 0, 0, 3, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
841  { 2,-2, 0, 0, 0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0},
842  { 1,-1, 0, 1, 0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
843  {-1, 0, 0, 2, 0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
844  { 0,-2, 2, 0, 1, -6.0, 0.0, -3.0, 3.0, 0.0, 1.0},
845  {-1, 0, 1, 2, 1, 0.0, 0.0, -3.0, 0.0, 0.0, -2.0},
846  {-1, 1, 0, 3, 0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0},
847  {-1,-1, 2, 1, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0},
848  { 0,-1, 2, 0, 0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0},
849  {-2, 1, 2, 2, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0},
850 
851  /* 561-570 */
852  { 2,-2, 2,-2, 2, -1.0, 0.0, 3.0, 3.0, 0.0, -1.0},
853  { 1, 1, 0, 1, 1, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
854  { 1, 0, 1, 0, 1, 0.0, 0.0, -13.0, 0.0, 0.0, -11.0},
855  { 1, 0, 1, 0, 0, 3.0, 0.0, 6.0, 0.0, 0.0, 0.0},
856  { 0, 2, 0, 2, 0, -7.0, 0.0, 0.0, 0.0, 0.0, 0.0},
857  { 2,-1, 2,-2, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0},
858  { 0,-1, 4,-2, 1, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0},
859  { 0, 0, 4,-2, 3, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
860  { 0, 1, 4,-2, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0},
861  { 4, 0, 2,-4, 2, -7.0, 0.0, 0.0, 3.0, 0.0, 0.0},
862 
863  /* 571-580 */
864  { 2, 2, 2,-2, 2, 8.0, 0.0, 0.0, -3.0, 0.0, 0.0},
865  { 2, 0, 4,-4, 2, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
866  {-1,-2, 0, 4, 0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0},
867  {-1,-3, 2, 2, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0},
868  {-3, 0, 2, 4, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0},
869  {-3, 0, 2,-2, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
870  {-1,-1, 0,-2, 1, 8.0, 0.0, 0.0, -4.0, 0.0, 0.0},
871  {-3, 0, 0, 0, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0},
872  {-3, 0,-2, 2, 0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0},
873  { 0, 1, 0,-4, 1, -6.0, 0.0, 0.0, 3.0, 0.0, 0.0},
874 
875  /* 581-590 */
876  {-2, 1, 0,-2, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
877  {-4, 0, 0, 0, 1, -8.0, 0.0, 0.0, 4.0, 0.0, 0.0},
878  {-1, 0, 0,-4, 1, -7.0, 0.0, 0.0, 3.0, 0.0, 0.0},
879  {-3, 0, 0,-2, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
880  { 0, 0, 0, 3, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0},
881  {-1, 1, 0, 4, 1, 6.0, 0.0, 0.0, -3.0, 0.0, 0.0},
882  { 1,-2, 2, 0, 1, -6.0, 0.0, 0.0, 3.0, 0.0, 0.0},
883  { 0, 1, 0, 3, 0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0},
884  {-1, 0, 2, 2, 3, 6.0, 0.0, 0.0, -1.0, 0.0, 0.0},
885  { 0, 0, 2, 2, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0},
886 
887  /* 591-600 */
888  {-2, 0, 2, 2, 2, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0},
889  {-1, 1, 2, 2, 0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
890  { 3, 0, 0, 0, 2, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
891  { 2, 1, 0, 1, 0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
892  { 2,-1, 2,-1, 2, 6.0, 0.0, 0.0, -3.0, 0.0, 0.0},
893  { 0, 0, 2, 0, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
894  { 0, 0, 3, 0, 3, 0.0, 0.0, -26.0, 0.0, 0.0, -11.0},
895  { 0, 0, 3, 0, 2, 0.0, 0.0, -10.0, 0.0, 0.0, -5.0},
896  {-1, 2, 2, 2, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0},
897  {-1, 0, 4, 0, 0, -13.0, 0.0, 0.0, 0.0, 0.0, 0.0},
898 
899  /* 601-610 */
900  { 1, 2, 2, 0, 1, 3.0, 0.0, 0.0, -2.0, 0.0, 0.0},
901  { 3, 1, 2,-2, 1, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
902  { 1, 1, 4,-2, 2, 7.0, 0.0, 0.0, -3.0, 0.0, 0.0},
903  {-2,-1, 0, 6, 0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
904  { 0,-2, 0, 4, 0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0},
905  {-2, 0, 0, 6, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0},
906  {-2,-2, 2, 4, 2, -6.0, 0.0, 0.0, 2.0, 0.0, 0.0},
907  { 0,-3, 2, 2, 2, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0},
908  { 0, 0, 0, 4, 2, -7.0, 0.0, 0.0, 3.0, 0.0, 0.0},
909  {-1,-1, 2, 3, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0},
910 
911  /* 611-620 */
912  {-2, 0, 2, 4, 0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0},
913  { 2,-1, 0, 2, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
914  { 1, 0, 0, 3, 0, -3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
915  { 0, 1, 0, 4, 1, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0},
916  { 0, 1, 0, 4, 0, -11.0, 0.0, 0.0, 0.0, 0.0, 0.0},
917  { 1,-1, 2, 1, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0},
918  { 0, 0, 2, 2, 3, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
919  { 1, 0, 2, 2, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
920  {-1, 0, 2, 2, 2, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
921  {-2, 0, 4, 2, 1, 6.0, 0.0, 0.0, -3.0, 0.0, 0.0},
922 
923  /* 621-630 */
924  { 2, 1, 0, 2, 1, 3.0, 0.0, 0.0, -2.0, 0.0, 0.0},
925  { 2, 1, 0, 2, 0, -12.0, 0.0, 0.0, 0.0, 0.0, 0.0},
926  { 2,-1, 2, 0, 0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
927  { 1, 0, 2, 1, 0, -3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
928  { 0, 1, 2, 2, 0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
929  { 2, 0, 2, 0, 3, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
930  { 3, 0, 2, 0, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0},
931  { 1, 0, 2, 0, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0},
932  { 1, 0, 3, 0, 3, 0.0, 0.0, -5.0, 0.0, 0.0, -2.0},
933  { 1, 1, 2, 1, 1, -7.0, 0.0, 0.0, 4.0, 0.0, 0.0},
934 
935  /* 631-640 */
936  { 0, 2, 2, 2, 2, 6.0, 0.0, 0.0, -3.0, 0.0, 0.0},
937  { 2, 1, 2, 0, 0, -3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
938  { 2, 0, 4,-2, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0},
939  { 4, 1, 2,-2, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0},
940  {-1,-1, 0, 6, 0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0},
941  {-3,-1, 2, 6, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0},
942  {-1, 0, 0, 6, 1, -5.0, 0.0, 0.0, 3.0, 0.0, 0.0},
943  {-3, 0, 2, 6, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0},
944  { 1,-1, 0, 4, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0},
945  { 1,-1, 0, 4, 0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0},
946 
947  /* 641-650 */
948  {-2, 0, 2, 5, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0},
949  { 1,-2, 2, 2, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
950  { 3,-1, 0, 2, 0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
951  { 1,-1, 2, 2, 0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0},
952  { 0, 0, 2, 3, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0},
953  {-1, 1, 2, 4, 1, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
954  { 0, 1, 2, 3, 2, -6.0, 0.0, 0.0, 3.0, 0.0, 0.0},
955  {-1, 0, 4, 2, 1, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
956  { 2, 0, 2, 1, 1, 6.0, 0.0, 0.0, -3.0, 0.0, 0.0},
957  { 5, 0, 0, 0, 0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0},
958 
959  /* 651-660 */
960  { 2, 1, 2, 1, 2, -6.0, 0.0, 0.0, 3.0, 0.0, 0.0},
961  { 1, 0, 4, 0, 1, 3.0, 0.0, 0.0, -2.0, 0.0, 0.0},
962  { 3, 1, 2, 0, 1, 7.0, 0.0, 0.0, -4.0, 0.0, 0.0},
963  { 3, 0, 4,-2, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
964  {-2,-1, 2, 6, 2, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0},
965  { 0, 0, 0, 6, 0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0},
966  { 0,-2, 2, 4, 2, -6.0, 0.0, 0.0, 3.0, 0.0, 0.0},
967  {-2, 0, 2, 6, 1, -6.0, 0.0, 0.0, 3.0, 0.0, 0.0},
968  { 2, 0, 0, 4, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
969  { 2, 0, 0, 4, 0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0},
970 
971  /* 661-670 */
972  { 2,-2, 2, 2, 2, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
973  { 0, 0, 2, 4, 0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0},
974  { 1, 0, 2, 3, 2, 7.0, 0.0, 0.0, -3.0, 0.0, 0.0},
975  { 4, 0, 0, 2, 0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0},
976  { 2, 0, 2, 2, 0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0},
977  { 0, 0, 4, 2, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0},
978  { 4,-1, 2, 0, 2, -6.0, 0.0, 0.0, 2.0, 0.0, 0.0},
979  { 3, 0, 2, 1, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
980  { 2, 1, 2, 2, 1, 3.0, 0.0, 0.0, -2.0, 0.0, 0.0},
981  { 4, 1, 2, 0, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0},
982 
983  /* 671-678 */
984  {-1,-1, 2, 6, 2, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
985  {-1, 0, 2, 6, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0},
986  { 1,-1, 2, 4, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0},
987  { 1, 1, 2, 4, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0},
988  { 3, 1, 2, 2, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0},
989  { 5, 0, 2, 0, 1, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0},
990  { 2,-1, 2, 4, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0},
991  { 2, 0, 2, 4, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0}
992  };
993 
994 /* Number of terms in the luni-solar nutation model */
995  const int NLS = (int) (sizeof xls / sizeof xls[0]);
996 
997 /* ------------------------ */
998 /* Planetary nutation model */
999 /* ------------------------ */
1000 
1001 /* The units for the sine and cosine coefficients are */
1002 /* 0.1 microarcsecond */
1003 
1004  static const struct {
1005  int nl, /* coefficients of l, F, D and Omega */
1006  nf,
1007  nd,
1008  nom,
1009  nme, /* coefficients of planetary longitudes */
1010  nve,
1011  nea,
1012  nma,
1013  nju,
1014  nsa,
1015  nur,
1016  nne,
1017  npa; /* coefficient of general precession */
1018  int sp,cp; /* longitude sin, cos coefficients */
1019  int se,ce; /* obliquity sin, cos coefficients */
1020  } xpl[] = {
1021 
1022  /* 1-10 */
1023  { 0, 0, 0, 0, 0, 0, 8,-16, 4, 5, 0, 0, 0, 1440, 0, 0, 0},
1024  { 0, 0, 0, 0, 0, 0, -8, 16,-4,-5, 0, 0, 2, 56,-117, -42, -40},
1025  { 0, 0, 0, 0, 0, 0, 8,-16, 4, 5, 0, 0, 2, 125, -43, 0, -54},
1026  { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-1, 2, 2, 0, 5, 0, 0},
1027  { 0, 0, 0, 0, 0, 0, -4, 8,-1,-5, 0, 0, 2, 3, -7, -3, 0},
1028  { 0, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 1, 3, 0, 0, -2},
1029  { 0, 1,-1, 1, 0, 0, 3, -8, 3, 0, 0, 0, 0, -114, 0, 0, 61},
1030  {-1, 0, 0, 0, 0, 10, -3, 0, 0, 0, 0, 0, 0, -219, 89, 0, 0},
1031  { 0, 0, 0, 0, 0, 0, 0, 0,-2, 6,-3, 0, 2, -3, 0, 0, 0},
1032  { 0, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0, -462,1604, 0, 0},
1033 
1034  /* 11-20 */
1035  { 0, 1,-1, 1, 0, 0, -5, 8,-3, 0, 0, 0, 0, 99, 0, 0, -53},
1036  { 0, 0, 0, 0, 0, 0, -4, 8,-3, 0, 0, 0, 1, -3, 0, 0, 2},
1037  { 0, 0, 0, 0, 0, 0, 4, -8, 1, 5, 0, 0, 2, 0, 6, 2, 0},
1038  { 0, 0, 0, 0, 0, -5, 6, 4, 0, 0, 0, 0, 2, 3, 0, 0, 0},
1039  { 0, 0, 0, 0, 0, 0, 0, 0, 2,-5, 0, 0, 2, -12, 0, 0, 0},
1040  { 0, 0, 0, 0, 0, 0, 0, 0, 2,-5, 0, 0, 1, 14,-218, 117, 8},
1041  { 0, 1,-1, 1, 0, 0, -1, 0, 2,-5, 0, 0, 0, 31,-481, -257, -17},
1042  { 0, 0, 0, 0, 0, 0, 0, 0, 2,-5, 0, 0, 0, -491, 128, 0, 0},
1043  { 0, 1,-1, 1, 0, 0, -1, 0,-2, 5, 0, 0, 0,-3084,5123, 2735,1647},
1044  { 0, 0, 0, 0, 0, 0, 0, 0,-2, 5, 0, 0, 1,-1444,2409,-1286,-771},
1045 
1046  /* 21-30 */
1047  { 0, 0, 0, 0, 0, 0, 0, 0,-2, 5, 0, 0, 2, 11, -24, -11, -9},
1048  { 2,-1,-1, 0, 0, 0, 3, -7, 0, 0, 0, 0, 0, 26, -9, 0, 0},
1049  { 1, 0,-2, 0, 0, 19,-21, 3, 0, 0, 0, 0, 0, 103, -60, 0, 0},
1050  { 0, 1,-1, 1, 0, 2, -4, 0,-3, 0, 0, 0, 0, 0, -13, -7, 0},
1051  { 1, 0,-1, 1, 0, 0, -1, 0, 2, 0, 0, 0, 0, -26, -29, -16, 14},
1052  { 0, 1,-1, 1, 0, 0, -1, 0,-4,10, 0, 0, 0, 9, -27, -14, -5},
1053  {-2, 0, 2, 1, 0, 0, 2, 0, 0,-5, 0, 0, 0, 12, 0, 0, -6},
1054  { 0, 0, 0, 0, 0, 3, -7, 4, 0, 0, 0, 0, 0, -7, 0, 0, 0},
1055  { 0,-1, 1, 0, 0, 0, 1, 0, 1,-1, 0, 0, 0, 0, 24, 0, 0},
1056  {-2, 0, 2, 1, 0, 0, 2, 0,-2, 0, 0, 0, 0, 284, 0, 0,-151},
1057 
1058  /* 31-40 */
1059  {-1, 0, 0, 0, 0, 18,-16, 0, 0, 0, 0, 0, 0, 226, 101, 0, 0},
1060  {-2, 1, 1, 2, 0, 0, 1, 0,-2, 0, 0, 0, 0, 0, -8, -2, 0},
1061  {-1, 1,-1, 1, 0, 18,-17, 0, 0, 0, 0, 0, 0, 0, -6, -3, 0},
1062  {-1, 0, 1, 1, 0, 0, 2, -2, 0, 0, 0, 0, 0, 5, 0, 0, -3},
1063  { 0, 0, 0, 0, 0, -8, 13, 0, 0, 0, 0, 0, 2, -41, 175, 76, 17},
1064  { 0, 2,-2, 2, 0, -8, 11, 0, 0, 0, 0, 0, 0, 0, 15, 6, 0},
1065  { 0, 0, 0, 0, 0, -8, 13, 0, 0, 0, 0, 0, 1, 425, 212, -133, 269},
1066  { 0, 1,-1, 1, 0, -8, 12, 0, 0, 0, 0, 0, 0, 1200, 598, 319,-641},
1067  { 0, 0, 0, 0, 0, 8,-13, 0, 0, 0, 0, 0, 0, 235, 334, 0, 0},
1068  { 0, 1,-1, 1, 0, 8,-14, 0, 0, 0, 0, 0, 0, 11, -12, -7, -6},
1069 
1070  /* 41-50 */
1071  { 0, 0, 0, 0, 0, 8,-13, 0, 0, 0, 0, 0, 1, 5, -6, 3, 3},
1072  {-2, 0, 2, 1, 0, 0, 2, 0,-4, 5, 0, 0, 0, -5, 0, 0, 3},
1073  {-2, 0, 2, 2, 0, 3, -3, 0, 0, 0, 0, 0, 0, 6, 0, 0, -3},
1074  {-2, 0, 2, 0, 0, 0, 2, 0,-3, 1, 0, 0, 0, 15, 0, 0, 0},
1075  { 0, 0, 0, 1, 0, 3, -5, 0, 2, 0, 0, 0, 0, 13, 0, 0, -7},
1076  {-2, 0, 2, 0, 0, 0, 2, 0,-4, 3, 0, 0, 0, -6, -9, 0, 0},
1077  { 0,-1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 266, -78, 0, 0},
1078  { 0, 0, 0, 1, 0, 0, -1, 2, 0, 0, 0, 0, 0, -460,-435, -232, 246},
1079  { 0, 1,-1, 2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 15, 7, 0},
1080  {-1, 1, 0, 1, 0, 3, -5, 0, 0, 0, 0, 0, 0, -3, 0, 0, 2},
1081 
1082  /* 51-60 */
1083  {-1, 0, 1, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0, 0, 131, 0, 0},
1084  {-2, 0, 2, 0, 0, 0, 2, 0,-2,-2, 0, 0, 0, 4, 0, 0, 0},
1085  {-2, 2, 0, 2, 0, 0, -5, 9, 0, 0, 0, 0, 0, 0, 3, 0, 0},
1086  { 0, 1,-1, 1, 0, 0, -1, 0, 0, 0,-1, 0, 0, 0, 4, 2, 0},
1087  { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 3, 0, 0},
1088  { 0, 1,-1, 1, 0, 0, -1, 0, 0, 0, 0, 2, 0, -17, -19, -10, 9},
1089  { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -9, -11, 6, -5},
1090  { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -6, 0, 0, 3},
1091  {-1, 0, 1, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, -16, 8, 0, 0},
1092  { 0,-1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0},
1093 
1094  /* 61-70 */
1095  { 0, 1,-1, 2, 0, 0, -1, 0, 0, 2, 0, 0, 0, 11, 24, 11, -5},
1096  { 0, 0, 0, 1, 0, 0, -9, 17, 0, 0, 0, 0, 0, -3, -4, -2, 1},
1097  { 0, 0, 0, 2, 0, -3, 5, 0, 0, 0, 0, 0, 0, 3, 0, 0, -1},
1098  { 0, 1,-1, 1, 0, 0, -1, 0,-1, 2, 0, 0, 0, 0, -8, -4, 0},
1099  { 0, 0, 0, 0, 0, 0, 0, 0, 1,-2, 0, 0, 0, 0, 3, 0, 0},
1100  { 1, 0,-2, 0, 0, 17,-16, 0,-2, 0, 0, 0, 0, 0, 5, 0, 0},
1101  { 0, 1,-1, 1, 0, 0, -1, 0, 1,-3, 0, 0, 0, 0, 3, 2, 0},
1102  {-2, 0, 2, 1, 0, 0, 5, -6, 0, 0, 0, 0, 0, -6, 4, 2, 3},
1103  { 0,-2, 2, 0, 0, 0, 9,-13, 0, 0, 0, 0, 0, -3, -5, 0, 0},
1104  { 0, 1,-1, 2, 0, 0, -1, 0, 0, 1, 0, 0, 0, -5, 0, 0, 2},
1105 
1106  /* 71-80 */
1107  { 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 4, 24, 13, -2},
1108  { 0,-1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, -42, 20, 0, 0},
1109  { 0,-2, 2, 0, 0, 5, -6, 0, 0, 0, 0, 0, 0, -10, 233, 0, 0},
1110  { 0,-1, 1, 1, 0, 5, -7, 0, 0, 0, 0, 0, 0, -3, 0, 0, 1},
1111  {-2, 0, 2, 0, 0, 6, -8, 0, 0, 0, 0, 0, 0, 78, -18, 0, 0},
1112  { 2, 1,-3, 1, 0, -6, 7, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0},
1113  { 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -3, -1, 0},
1114  { 0,-1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, -4, -2, 1},
1115  { 0, 1,-1, 1, 0, 0, -1, 0, 0, 0, 2, 0, 0, 0, -8, -4, -1},
1116  { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, -5, 3, 0},
1117 
1118  /* 81-90 */
1119  { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, -7, 0, 0, 3},
1120  { 0, 0, 0, 0, 0, 0, -8, 15, 0, 0, 0, 0, 2, -14, 8, 3, 6},
1121  { 0, 0, 0, 0, 0, 0, -8, 15, 0, 0, 0, 0, 1, 0, 8, -4, 0},
1122  { 0, 1,-1, 1, 0, 0, -9, 15, 0, 0, 0, 0, 0, 0, 19, 10, 0},
1123  { 0, 0, 0, 0, 0, 0, 8,-15, 0, 0, 0, 0, 0, 45, -22, 0, 0},
1124  { 1,-1,-1, 0, 0, 0, 8,-15, 0, 0, 0, 0, 0, -3, 0, 0, 0},
1125  { 2, 0,-2, 0, 0, 2, -5, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0},
1126  {-2, 0, 2, 0, 0, 0, 2, 0,-5, 5, 0, 0, 0, 0, 3, 0, 0},
1127  { 2, 0,-2, 1, 0, 0, -6, 8, 0, 0, 0, 0, 0, 3, 5, 3, -2},
1128  { 2, 0,-2, 1, 0, 0, -2, 0, 3, 0, 0, 0, 0, 89, -16, -9, -48},
1129 
1130  /* 91-100 */
1131  {-2, 1, 1, 0, 0, 0, 1, 0,-3, 0, 0, 0, 0, 0, 3, 0, 0},
1132  {-2, 1, 1, 1, 0, 0, 1, 0,-3, 0, 0, 0, 0, -3, 7, 4, 2},
1133  {-2, 0, 2, 0, 0, 0, 2, 0,-3, 0, 0, 0, 0, -349, -62, 0, 0},
1134  {-2, 0, 2, 0, 0, 0, 6, -8, 0, 0, 0, 0, 0, -15, 22, 0, 0},
1135  {-2, 0, 2, 0, 0, 0, 2, 0,-1,-5, 0, 0, 0, -3, 0, 0, 0},
1136  {-1, 0, 1, 0, 0, 0, 1, 0,-1, 0, 0, 0, 0, -53, 0, 0, 0},
1137  {-1, 1, 1, 1, 0,-20, 20, 0, 0, 0, 0, 0, 0, 5, 0, 0, -3},
1138  { 1, 0,-2, 0, 0, 20,-21, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0},
1139  { 0, 0, 0, 1, 0, 0, 8,-15, 0, 0, 0, 0, 0, 15, -7, -4, -8},
1140  { 0, 2,-2, 1, 0, 0,-10, 15, 0, 0, 0, 0, 0, -3, 0, 0, 1},
1141 
1142  /* 101-110 */
1143  { 0,-1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, -21, -78, 0, 0},
1144  { 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 20, -70, -37, -11},
1145  { 0, 1,-1, 2, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 6, 3, 0},
1146  { 0, 1,-1, 1, 0, 0, -1, 0,-2, 4, 0, 0, 0, 5, 3, 2, -2},
1147  { 2, 0,-2, 1, 0, -6, 8, 0, 0, 0, 0, 0, 0, -17, -4, -2, 9},
1148  { 0,-2, 2, 1, 0, 5, -6, 0, 0, 0, 0, 0, 0, 0, 6, 3, 0},
1149  { 0, 0, 0, 0, 0, 0, 0, 0, 0,-1, 0, 0, 1, 32, 15, -8, 17},
1150  { 0, 1,-1, 1, 0, 0, -1, 0, 0,-1, 0, 0, 0, 174, 84, 45, -93},
1151  { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 11, 56, 0, 0},
1152  { 0, 1,-1, 1, 0, 0, -1, 0, 0, 1, 0, 0, 0, -66, -12, -6, 35},
1153 
1154  /* 111-120 */
1155  { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 47, 8, 4, -25},
1156  { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 8, 4, 0},
1157  { 0, 2,-2, 1, 0, 0, -9, 13, 0, 0, 0, 0, 0, 10, -22, -12, -5},
1158  { 0, 0, 0, 1, 0, 0, 7,-13, 0, 0, 0, 0, 0, -3, 0, 0, 2},
1159  {-2, 0, 2, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, -24, 12, 0, 0},
1160  { 0, 0, 0, 0, 0, 0, 9,-17, 0, 0, 0, 0, 0, 5, -6, 0, 0},
1161  { 0, 0, 0, 0, 0, 0, -9, 17, 0, 0, 0, 0, 2, 3, 0, 0, -2},
1162  { 1, 0,-1, 1, 0, 0, -3, 4, 0, 0, 0, 0, 0, 4, 3, 1, -2},
1163  { 1, 0,-1, 1, 0, -3, 4, 0, 0, 0, 0, 0, 0, 0, 29, 15, 0},
1164  { 0, 0, 0, 2, 0, 0, -1, 2, 0, 0, 0, 0, 0, -5, -4, -2, 2},
1165 
1166  /* 121-130 */
1167  { 0,-1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 8, -3, -1, -5},
1168  { 0,-2, 2, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0},
1169  { 0, 0, 0, 0, 0, 3, -5, 0, 2, 0, 0, 0, 0, 10, 0, 0, 0},
1170  {-2, 0, 2, 1, 0, 0, 2, 0,-3, 1, 0, 0, 0, 3, 0, 0, -2},
1171  {-2, 0, 2, 1, 0, 3, -3, 0, 0, 0, 0, 0, 0, -5, 0, 0, 3},
1172  { 0, 0, 0, 1, 0, 8,-13, 0, 0, 0, 0, 0, 0, 46, 66, 35, -25},
1173  { 0,-1, 1, 0, 0, 8,-12, 0, 0, 0, 0, 0, 0, -14, 7, 0, 0},
1174  { 0, 2,-2, 1, 0, -8, 11, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0},
1175  {-1, 0, 1, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, -5, 0, 0, 0},
1176  {-1, 0, 0, 1, 0, 18,-16, 0, 0, 0, 0, 0, 0, -68, -34, -18, 36},
1177 
1178  /* 131-140 */
1179  { 0, 1,-1, 1, 0, 0, -1, 0,-1, 1, 0, 0, 0, 0, 14, 7, 0},
1180  { 0, 0, 0, 1, 0, 3, -7, 4, 0, 0, 0, 0, 0, 10, -6, -3, -5},
1181  {-2, 1, 1, 1, 0, 0, -3, 7, 0, 0, 0, 0, 0, -5, -4, -2, 3},
1182  { 0, 1,-1, 2, 0, 0, -1, 0,-2, 5, 0, 0, 0, -3, 5, 2, 1},
1183  { 0, 0, 0, 1, 0, 0, 0, 0,-2, 5, 0, 0, 0, 76, 17, 9, -41},
1184  { 0, 0, 0, 1, 0, 0, -4, 8,-3, 0, 0, 0, 0, 84, 298, 159, -45},
1185  { 1, 0, 0, 1, 0,-10, 3, 0, 0, 0, 0, 0, 0, 3, 0, 0, -1},
1186  { 0, 2,-2, 1, 0, 0, -2, 0, 0, 0, 0, 0, 0, -3, 0, 0, 2},
1187  {-1, 0, 0, 1, 0, 10, -3, 0, 0, 0, 0, 0, 0, -3, 0, 0, 1},
1188  { 0, 0, 0, 1, 0, 0, 4, -8, 3, 0, 0, 0, 0, -82, 292, 156, 44},
1189 
1190  /* 141-150 */
1191  { 0, 0, 0, 1, 0, 0, 0, 0, 2,-5, 0, 0, 0, -73, 17, 9, 39},
1192  { 0,-1, 1, 0, 0, 0, 1, 0, 2,-5, 0, 0, 0, -9, -16, 0, 0},
1193  { 2,-1,-1, 1, 0, 0, 3, -7, 0, 0, 0, 0, 0, 3, 0, -1, -2},
1194  {-2, 0, 2, 0, 0, 0, 2, 0, 0,-5, 0, 0, 0, -3, 0, 0, 0},
1195  { 0, 0, 0, 1, 0, -3, 7, -4, 0, 0, 0, 0, 0, -9, -5, -3, 5},
1196  {-2, 0, 2, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, -439, 0, 0, 0},
1197  { 1, 0, 0, 1, 0,-18, 16, 0, 0, 0, 0, 0, 0, 57, -28, -15, -30},
1198  {-2, 1, 1, 1, 0, 0, 1, 0,-2, 0, 0, 0, 0, 0, -6, -3, 0},
1199  { 0, 1,-1, 2, 0, -8, 12, 0, 0, 0, 0, 0, 0, -4, 0, 0, 2},
1200  { 0, 0, 0, 1, 0, -8, 13, 0, 0, 0, 0, 0, 0, -40, 57, 30, 21},
1201 
1202  /* 151-160 */
1203  { 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 1, 23, 7, 3, -13},
1204  { 0, 1,-1, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 273, 80, 43,-146},
1205  { 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -449, 430, 0, 0},
1206  { 0, 1,-1, 1, 0, 0, -2, 2, 0, 0, 0, 0, 0, -8, -47, -25, 4},
1207  { 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 1, 6, 47, 25, -3},
1208  {-1, 0, 1, 1, 0, 3, -4, 0, 0, 0, 0, 0, 0, 0, 23, 13, 0},
1209  {-1, 0, 1, 1, 0, 0, 3, -4, 0, 0, 0, 0, 0, -3, 0, 0, 2},
1210  { 0, 1,-1, 1, 0, 0, -1, 0, 0,-2, 0, 0, 0, 3, -4, -2, -2},
1211  { 0, 1,-1, 1, 0, 0, -1, 0, 0, 2, 0, 0, 0, -48,-110, -59, 26},
1212  { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 51, 114, 61, -27},
1213 
1214  /* 161-170 */
1215  { 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, -133, 0, 0, 57},
1216  { 0, 1,-1, 0, 0, 3, -6, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0},
1217  { 0, 0, 0, 1, 0, -3, 5, 0, 0, 0, 0, 0, 0, -21, -6, -3, 11},
1218  { 0, 1,-1, 2, 0, -3, 4, 0, 0, 0, 0, 0, 0, 0, -3, -1, 0},
1219  { 0, 0, 0, 1, 0, 0, -2, 4, 0, 0, 0, 0, 0, -11, -21, -11, 6},
1220  { 0, 2,-2, 1, 0, -5, 6, 0, 0, 0, 0, 0, 0, -18,-436, -233, 9},
1221  { 0,-1, 1, 0, 0, 5, -7, 0, 0, 0, 0, 0, 0, 35, -7, 0, 0},
1222  { 0, 0, 0, 1, 0, 5, -8, 0, 0, 0, 0, 0, 0, 0, 5, 3, 0},
1223  {-2, 0, 2, 1, 0, 6, -8, 0, 0, 0, 0, 0, 0, 11, -3, -1, -6},
1224  { 0, 0, 0, 1, 0, 0, -8, 15, 0, 0, 0, 0, 0, -5, -3, -1, 3},
1225 
1226  /* 171-180 */
1227  {-2, 0, 2, 1, 0, 0, 2, 0,-3, 0, 0, 0, 0, -53, -9, -5, 28},
1228  {-2, 0, 2, 1, 0, 0, 6, -8, 0, 0, 0, 0, 0, 0, 3, 2, 1},
1229  { 1, 0,-1, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 4, 0, 0, -2},
1230  { 0, 0, 0, 0, 0, 0, 0, 0, 3,-5, 0, 0, 0, 0, -4, 0, 0},
1231  { 0, 1,-1, 1, 0, 0, -1, 0,-1, 0, 0, 0, 0, -50, 194, 103, 27},
1232  { 0, 0, 0, 0, 0, 0, 0, 0,-1, 0, 0, 0, 1, -13, 52, 28, 7},
1233  { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -91, 248, 0, 0},
1234  { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 6, 49, 26, -3},
1235  { 0, 1,-1, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, -6, -47, -25, 3},
1236  { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 5, 3, 0},
1237 
1238  /* 181-190 */
1239  { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 52, 23, 10, -23},
1240  { 0, 1,-1, 2, 0, 0, -1, 0, 0,-1, 0, 0, 0, -3, 0, 0, 1},
1241  { 0, 0, 0, 1, 0, 0, 0, 0, 0,-1, 0, 0, 0, 0, 5, 3, 0},
1242  { 0,-1, 1, 0, 0, 0, 1, 0, 0,-1, 0, 0, 0, -4, 0, 0, 0},
1243  { 0, 0, 0, 0, 0, 0, -7, 13, 0, 0, 0, 0, 2, -4, 8, 3, 2},
1244  { 0, 0, 0, 0, 0, 0, 7,-13, 0, 0, 0, 0, 0, 10, 0, 0, 0},
1245  { 2, 0,-2, 1, 0, 0, -5, 6, 0, 0, 0, 0, 0, 3, 0, 0, -2},
1246  { 0, 2,-2, 1, 0, 0, -8, 11, 0, 0, 0, 0, 0, 0, 8, 4, 0},
1247  { 0, 2,-2, 1,-1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 8, 4, 1},
1248  {-2, 0, 2, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0},
1249 
1250  /* 191-200 */
1251  { 0, 0, 0, 0, 0, 0, 0, 0, 2,-2, 0, 0, 0, -4, 0, 0, 0},
1252  { 0, 1,-1, 1, 0, 0, -1, 0, 0, 3, 0, 0, 0, -8, 4, 2, 4},
1253  { 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 1, 8, -4, -2, -4},
1254  { 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 15, 7, 0},
1255  {-2, 0, 2, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, -138, 0, 0, 0},
1256  { 0, 0, 0, 2, 0, 0, -4, 8,-3, 0, 0, 0, 0, 0, -7, -3, 0},
1257  { 0, 0, 0, 2, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, -7, -3, 0},
1258  { 2, 0,-2, 1, 0, 0, -2, 0, 2, 0, 0, 0, 0, 54, 0, 0, -29},
1259  { 0, 1,-1, 2, 0, 0, -1, 0, 2, 0, 0, 0, 0, 0, 10, 4, 0},
1260  { 0, 1,-1, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -7, 0, 0, 3},
1261 
1262  /* 201-210 */
1263  { 0, 0, 0, 1, 0, 0, 1, -2, 0, 0, 0, 0, 0, -37, 35, 19, 20},
1264  { 0,-1, 1, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 4, 0, 0},
1265  { 0,-1, 1, 0, 0, 0, 1, 0, 0,-2, 0, 0, 0, -4, 9, 0, 0},
1266  { 0, 2,-2, 1, 0, 0, -2, 0, 0, 2, 0, 0, 0, 8, 0, 0, -4},
1267  { 0, 1,-1, 1, 0, 3, -6, 0, 0, 0, 0, 0, 0, -9, -14, -8, 5},
1268  { 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0, 1, -3, -9, -5, 3},
1269  { 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0, 0, -145, 47, 0, 0},
1270  { 0, 1,-1, 1, 0, -3, 4, 0, 0, 0, 0, 0, 0, -10, 40, 21, 5},
1271  { 0, 0, 0, 0, 0, -3, 5, 0, 0, 0, 0, 0, 1, 11, -49, -26, -7},
1272  { 0, 0, 0, 0, 0, -3, 5, 0, 0, 0, 0, 0, 2,-2150, 0, 0, 932},
1273 
1274  /* 211-220 */
1275  { 0, 2,-2, 2, 0, -3, 3, 0, 0, 0, 0, 0, 0, -12, 0, 0, 5},
1276  { 0, 0, 0, 0, 0, -3, 5, 0, 0, 0, 0, 0, 2, 85, 0, 0, -37},
1277  { 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 1, 4, 0, 0, -2},
1278  { 0, 1,-1, 1, 0, 0, 1, -4, 0, 0, 0, 0, 0, 3, 0, 0, -2},
1279  { 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, -86, 153, 0, 0},
1280  { 0, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 1, -6, 9, 5, 3},
1281  { 0, 1,-1, 1, 0, 0, -3, 4, 0, 0, 0, 0, 0, 9, -13, -7, -5},
1282  { 0, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 1, -8, 12, 6, 4},
1283  { 0, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 2, -51, 0, 0, 22},
1284  { 0, 0, 0, 0, 0, -5, 8, 0, 0, 0, 0, 0, 2, -11,-268, -116, 5},
1285 
1286  /* 221-230 */
1287  { 0, 2,-2, 2, 0, -5, 6, 0, 0, 0, 0, 0, 0, 0, 12, 5, 0},
1288  { 0, 0, 0, 0, 0, -5, 8, 0, 0, 0, 0, 0, 2, 0, 7, 3, 0},
1289  { 0, 0, 0, 0, 0, -5, 8, 0, 0, 0, 0, 0, 1, 31, 6, 3, -17},
1290  { 0, 1,-1, 1, 0, -5, 7, 0, 0, 0, 0, 0, 0, 140, 27, 14, -75},
1291  { 0, 0, 0, 0, 0, -5, 8, 0, 0, 0, 0, 0, 1, 57, 11, 6, -30},
1292  { 0, 0, 0, 0, 0, 5, -8, 0, 0, 0, 0, 0, 0, -14, -39, 0, 0},
1293  { 0, 1,-1, 2, 0, 0, -1, 0,-1, 0, 0, 0, 0, 0, -6, -2, 0},
1294  { 0, 0, 0, 1, 0, 0, 0, 0,-1, 0, 0, 0, 0, 4, 15, 8, -2},
1295  { 0,-1, 1, 0, 0, 0, 1, 0,-1, 0, 0, 0, 0, 0, 4, 0, 0},
1296  { 0, 2,-2, 1, 0, 0, -2, 0, 1, 0, 0, 0, 0, -3, 0, 0, 1},
1297 
1298  /* 231-240 */
1299  { 0, 0, 0, 0, 0, 0, -6, 11, 0, 0, 0, 0, 2, 0, 11, 5, 0},
1300  { 0, 0, 0, 0, 0, 0, 6,-11, 0, 0, 0, 0, 0, 9, 6, 0, 0},
1301  { 0, 0, 0, 0,-1, 0, 4, 0, 0, 0, 0, 0, 2, -4, 10, 4, 2},
1302  { 0, 0, 0, 0, 1, 0, -4, 0, 0, 0, 0, 0, 0, 5, 3, 0, 0},
1303  { 2, 0,-2, 1, 0, -3, 3, 0, 0, 0, 0, 0, 0, 16, 0, 0, -9},
1304  {-2, 0, 2, 0, 0, 0, 2, 0, 0,-2, 0, 0, 0, -3, 0, 0, 0},
1305  { 0, 2,-2, 1, 0, 0, -7, 9, 0, 0, 0, 0, 0, 0, 3, 2, -1},
1306  { 0, 0, 0, 0, 0, 0, 0, 0, 4,-5, 0, 0, 2, 7, 0, 0, -3},
1307  { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -25, 22, 0, 0},
1308  { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 42, 223, 119, -22},
1309 
1310  /* 241-250 */
1311  { 0, 1,-1, 1, 0, 0, -1, 0, 2, 0, 0, 0, 0, -27,-143, -77, 14},
1312  { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 9, 49, 26, -5},
1313  { 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2,-1166, 0, 0, 505},
1314  { 0, 2,-2, 2, 0, 0, -2, 0, 2, 0, 0, 0, 0, -5, 0, 0, 2},
1315  { 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 2, -6, 0, 0, 3},
1316  { 0, 0, 0, 1, 0, 3, -5, 0, 0, 0, 0, 0, 0, -8, 0, 1, 4},
1317  { 0,-1, 1, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0},
1318  { 0, 2,-2, 1, 0, -3, 3, 0, 0, 0, 0, 0, 0, 117, 0, 0, -63},
1319  { 0, 0, 0, 1, 0, 0, 2, -4, 0, 0, 0, 0, 0, -4, 8, 4, 2},
1320  { 0, 2,-2, 1, 0, 0, -4, 4, 0, 0, 0, 0, 0, 3, 0, 0, -2},
1321 
1322  /* 251-260 */
1323  { 0, 1,-1, 2, 0, -5, 7, 0, 0, 0, 0, 0, 0, -5, 0, 0, 2},
1324  { 0, 0, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, 0, 0, 31, 0, 0},
1325  { 0, 0, 0, 0, 0, 0, -3, 6, 0, 0, 0, 0, 1, -5, 0, 1, 3},
1326  { 0, 1,-1, 1, 0, 0, -4, 6, 0, 0, 0, 0, 0, 4, 0, 0, -2},
1327  { 0, 0, 0, 0, 0, 0, -3, 6, 0, 0, 0, 0, 1, -4, 0, 0, 2},
1328  { 0, 0, 0, 0, 0, 0, -3, 6, 0, 0, 0, 0, 2, -24, -13, -6, 10},
1329  { 0,-1, 1, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0},
1330  { 0, 0, 0, 1, 0, 2, -3, 0, 0, 0, 0, 0, 0, 0, -32, -17, 0},
1331  { 0, 0, 0, 0, 0, 0, -5, 9, 0, 0, 0, 0, 2, 8, 12, 5, -3},
1332  { 0, 0, 0, 0, 0, 0, -5, 9, 0, 0, 0, 0, 1, 3, 0, 0, -1},
1333 
1334  /* 261-270 */
1335  { 0, 0, 0, 0, 0, 0, 5, -9, 0, 0, 0, 0, 0, 7, 13, 0, 0},
1336  { 0,-1, 1, 0, 0, 0, 1, 0,-2, 0, 0, 0, 0, -3, 16, 0, 0},
1337  { 0, 2,-2, 1, 0, 0, -2, 0, 2, 0, 0, 0, 0, 50, 0, 0, -27},
1338  {-2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -5, -3, 0},
1339  { 0,-2, 2, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0},
1340  { 0, 0, 0, 0, 0, -6, 10, 0, 0, 0, 0, 0, 1, 0, 5, 3, 1},
1341  { 0, 0, 0, 0, 0, -6, 10, 0, 0, 0, 0, 0, 2, 24, 5, 2, -11},
1342  { 0, 0, 0, 0, 0, -2, 3, 0, 0, 0, 0, 0, 2, 5, -11, -5, -2},
1343  { 0, 0, 0, 0, 0, -2, 3, 0, 0, 0, 0, 0, 1, 30, -3, -2, -16},
1344  { 0, 1,-1, 1, 0, -2, 2, 0, 0, 0, 0, 0, 0, 18, 0, 0, -9},
1345 
1346  /* 271-280 */
1347  { 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, 0, 8, 614, 0, 0},
1348  { 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, 1, 3, -3, -1, -2},
1349  { 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 1, 6, 17, 9, -3},
1350  { 0, 1,-1, 1, 0, 0, -1, 0, 3, 0, 0, 0, 0, -3, -9, -5, 2},
1351  { 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 1, 0, 6, 3, -1},
1352  { 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 2, -127, 21, 9, 55},
1353  { 0, 0, 0, 0, 0, 0, 4, -8, 0, 0, 0, 0, 0, 3, 5, 0, 0},
1354  { 0, 0, 0, 0, 0, 0, -4, 8, 0, 0, 0, 0, 2, -6, -10, -4, 3},
1355  { 0,-2, 2, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, 5, 0, 0, 0},
1356  { 0, 0, 0, 0, 0, 0, -4, 7, 0, 0, 0, 0, 2, 16, 9, 4, -7},
1357 
1358  /* 281-290 */
1359  { 0, 0, 0, 0, 0, 0, -4, 7, 0, 0, 0, 0, 1, 3, 0, 0, -2},
1360  { 0, 0, 0, 0, 0, 0, 4, -7, 0, 0, 0, 0, 0, 0, 22, 0, 0},
1361  { 0, 0, 0, 1, 0, -2, 3, 0, 0, 0, 0, 0, 0, 0, 19, 10, 0},
1362  { 0, 2,-2, 1, 0, 0, -2, 0, 3, 0, 0, 0, 0, 7, 0, 0, -4},
1363  { 0, 0, 0, 0, 0, 0, -5, 10, 0, 0, 0, 0, 2, 0, -5, -2, 0},
1364  { 0, 0, 0, 1, 0, -1, 2, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0},
1365  { 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, -9, 3, 1, 4},
1366  { 0, 0, 0, 0, 0, 0, -3, 5, 0, 0, 0, 0, 2, 17, 0, 0, -7},
1367  { 0, 0, 0, 0, 0, 0, -3, 5, 0, 0, 0, 0, 1, 0, -3, -2, -1},
1368  { 0, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0, -20, 34, 0, 0},
1369 
1370  /* 291-300 */
1371  { 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 1, -10, 0, 1, 5},
1372  { 0, 1,-1, 1, 0, 1, -3, 0, 0, 0, 0, 0, 0, -4, 0, 0, 2},
1373  { 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 22, -87, 0, 0},
1374  { 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 1, -4, 0, 0, 2},
1375  { 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 2, -3, -6, -2, 1},
1376  { 0, 0, 0, 0, 0, -7, 11, 0, 0, 0, 0, 0, 2, -16, -3, -1, 7},
1377  { 0, 0, 0, 0, 0, -7, 11, 0, 0, 0, 0, 0, 1, 0, -3, -2, 0},
1378  { 0,-2, 2, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0},
1379  { 0, 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, -68, 39, 0, 0},
1380  { 0, 2,-2, 1, 0, -4, 4, 0, 0, 0, 0, 0, 0, 27, 0, 0, -14},
1381 
1382  /* 301-310 */
1383  { 0,-1, 1, 0, 0, 4, -5, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0},
1384  { 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, -25, 0, 0, 0},
1385  { 0, 0, 0, 0, 0, -4, 7, 0, 0, 0, 0, 0, 1, -12, -3, -2, 6},
1386  { 0, 1,-1, 1, 0, -4, 6, 0, 0, 0, 0, 0, 0, 3, 0, 0, -1},
1387  { 0, 0, 0, 0, 0, -4, 7, 0, 0, 0, 0, 0, 2, 3, 66, 29, -1},
1388  { 0, 0, 0, 0, 0, -4, 6, 0, 0, 0, 0, 0, 2, 490, 0, 0,-213},
1389  { 0, 0, 0, 0, 0, -4, 6, 0, 0, 0, 0, 0, 1, -22, 93, 49, 12},
1390  { 0, 1,-1, 1, 0, -4, 5, 0, 0, 0, 0, 0, 0, -7, 28, 15, 4},
1391  { 0, 0, 0, 0, 0, -4, 6, 0, 0, 0, 0, 0, 1, -3, 13, 7, 2},
1392  { 0, 0, 0, 0, 0, 4, -6, 0, 0, 0, 0, 0, 0, -46, 14, 0, 0},
1393 
1394  /* 311-320 */
1395  {-2, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, -5, 0, 0, 0},
1396  { 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0},
1397  { 0,-1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0},
1398  { 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0, -28, 0, 0, 15},
1399  { 0, 0, 0, 0, 0, 0, -1, 0, 5, 0, 0, 0, 2, 5, 0, 0, -2},
1400  { 0, 0, 0, 0, 0, 0, 1, -3, 0, 0, 0, 0, 0, 0, 3, 0, 0},
1401  { 0, 0, 0, 0, 0, 0, -1, 3, 0, 0, 0, 0, 2, -11, 0, 0, 5},
1402  { 0, 0, 0, 0, 0, 0, -7, 12, 0, 0, 0, 0, 2, 0, 3, 1, 0},
1403  { 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 2, -3, 0, 0, 1},
1404  { 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 1, 25, 106, 57, -13},
1405 
1406  /* 321-330 */
1407  { 0, 1,-1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 5, 21, 11, -3},
1408  { 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1485, 0, 0, 0},
1409  { 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 1, -7, -32, -17, 4},
1410  { 0, 1,-1, 1, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 5, 3, 0},
1411  { 0, 0, 0, 0, 0, 0, -2, 5, 0, 0, 0, 0, 2, -6, -3, -2, 3},
1412  { 0, 0, 0, 0, 0, 0, -1, 0, 4, 0, 0, 0, 2, 30, -6, -2, -13},
1413  { 0, 0, 0, 0, 0, 0, 1, 0,-4, 0, 0, 0, 0, -4, 4, 0, 0},
1414  { 0, 0, 0, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, -19, 0, 0, 10},
1415  { 0, 0, 0, 0, 0, 0, -6, 10, 0, 0, 0, 0, 2, 0, 4, 2, -1},
1416  { 0, 0, 0, 0, 0, 0, -6, 10, 0, 0, 0, 0, 0, 0, 3, 0, 0},
1417 
1418  /* 331-340 */
1419  { 0, 2,-2, 1, 0, 0, -3, 0, 3, 0, 0, 0, 0, 4, 0, 0, -2},
1420  { 0, 0, 0, 0, 0, 0, -3, 7, 0, 0, 0, 0, 2, 0, -3, -1, 0},
1421  {-2, 0, 2, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0},
1422  { 0, 0, 0, 0, 0, 0, -5, 8, 0, 0, 0, 0, 2, 5, 3, 1, -2},
1423  { 0, 0, 0, 0, 0, 0, 5, -8, 0, 0, 0, 0, 0, 0, 11, 0, 0},
1424  { 0, 0, 0, 0, 0, 0, -1, 0, 3, 0, 0, 0, 2, 118, 0, 0, -52},
1425  { 0, 0, 0, 0, 0, 0, -1, 0, 3, 0, 0, 0, 1, 0, -5, -3, 0},
1426  { 0, 0, 0, 0, 0, 0, 1, 0,-3, 0, 0, 0, 0, -28, 36, 0, 0},
1427  { 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 5, -5, 0, 0},
1428  { 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, 1, 14, -59, -31, -8},
1429 
1430  /* 341-350 */
1431  { 0, 1,-1, 1, 0, -2, 3, 0, 0, 0, 0, 0, 0, 0, 9, 5, 1},
1432  { 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, 2, -458, 0, 0, 198},
1433  { 0, 0, 0, 0, 0, -6, 9, 0, 0, 0, 0, 0, 2, 0, -45, -20, 0},
1434  { 0, 0, 0, 0, 0, -6, 9, 0, 0, 0, 0, 0, 1, 9, 0, 0, -5},
1435  { 0, 0, 0, 0, 0, 6, -9, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0},
1436  { 0, 0, 0, 1, 0, 0, 1, 0,-2, 0, 0, 0, 0, 0, -4, -2, -1},
1437  { 0, 2,-2, 1, 0, -2, 2, 0, 0, 0, 0, 0, 0, 11, 0, 0, -6},
1438  { 0, 0, 0, 0, 0, 0, -4, 6, 0, 0, 0, 0, 2, 6, 0, 0, -2},
1439  { 0, 0, 0, 0, 0, 0, 4, -6, 0, 0, 0, 0, 0, -16, 23, 0, 0},
1440  { 0, 0, 0, 1, 0, 3, -4, 0, 0, 0, 0, 0, 0, 0, -4, -2, 0},
1441 
1442  /* 351-360 */
1443  { 0, 0, 0, 0, 0, 0, -1, 0, 2, 0, 0, 0, 2, -5, 0, 0, 2},
1444  { 0, 0, 0, 0, 0, 0, 1, 0,-2, 0, 0, 0, 0, -166, 269, 0, 0},
1445  { 0, 0, 0, 1, 0, 0, 1, 0,-1, 0, 0, 0, 0, 15, 0, 0, -8},
1446  { 0, 0, 0, 0, 0, -5, 9, 0, 0, 0, 0, 0, 2, 10, 0, 0, -4},
1447  { 0, 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, -78, 45, 0, 0},
1448  { 0, 0, 0, 0, 0, -3, 4, 0, 0, 0, 0, 0, 2, 0, -5, -2, 0},
1449  { 0, 0, 0, 0, 0, -3, 4, 0, 0, 0, 0, 0, 1, 7, 0, 0, -4},
1450  { 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0, -5, 328, 0, 0},
1451  { 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, 1, 3, 0, 0, -2},
1452  { 0, 0, 0, 1, 0, 0, 2, -2, 0, 0, 0, 0, 0, 5, 0, 0, -2},
1453 
1454  /* 361-370 */
1455  { 0, 0, 0, 1, 0, 0, -1, 0, 2, 0, 0, 0, 0, 0, 3, 1, 0},
1456  { 0, 0, 0, 0, 0, 0, 1, 0, 0,-3, 0, 0, 0, -3, 0, 0, 0},
1457  { 0, 0, 0, 0, 0, 0, 1, 0, 1,-5, 0, 0, 0, -3, 0, 0, 0},
1458  { 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1, 0, -4, -2, 0},
1459  { 0, 0, 0, 0, 0, 0, 1, 0,-1, 0, 0, 0, 0,-1223, -26, 0, 0},
1460  { 0, 0, 0, 0, 0, 0, 1, 0,-1, 0, 0, 0, 1, 0, 7, 3, 0},
1461  { 0, 0, 0, 0, 0, 0, 1, 0,-3, 5, 0, 0, 0, 3, 0, 0, 0},
1462  { 0, 0, 0, 1, 0, -3, 4, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0},
1463  { 0, 0, 0, 0, 0, 0, 1, 0, 0,-2, 0, 0, 0, -6, 20, 0, 0},
1464  { 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, -368, 0, 0, 0},
1465 
1466  /* 371-380 */
1467  { 0, 0, 0, 0, 0, 0, 1, 0, 0,-1, 0, 0, 0, -75, 0, 0, 0},
1468  { 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 11, 0, 0, -6},
1469  { 0, 0, 0, 1, 0, 0, -2, 2, 0, 0, 0, 0, 0, 3, 0, 0, -2},
1470  { 0, 0, 0, 0, 0, -8, 14, 0, 0, 0, 0, 0, 2, -3, 0, 0, 1},
1471  { 0, 0, 0, 0, 0, 0, 1, 0, 2,-5, 0, 0, 0, -13, -30, 0, 0},
1472  { 0, 0, 0, 0, 0, 0, 5, -8, 3, 0, 0, 0, 0, 21, 3, 0, 0},
1473  { 0, 0, 0, 0, 0, 0, 5, -8, 3, 0, 0, 0, 2, -3, 0, 0, 1},
1474  { 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, -4, 0, 0, 2},
1475  { 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 8, -27, 0, 0},
1476  { 0, 0, 0, 0, 0, 0, 3, -8, 3, 0, 0, 0, 0, -19, -11, 0, 0},
1477 
1478  /* 381-390 */
1479  { 0, 0, 0, 0, 0, 0, -3, 8,-3, 0, 0, 0, 2, -4, 0, 0, 2},
1480  { 0, 0, 0, 0, 0, 0, 1, 0,-2, 5, 0, 0, 2, 0, 5, 2, 0},
1481  { 0, 0, 0, 0, 0, -8, 12, 0, 0, 0, 0, 0, 2, -6, 0, 0, 2},
1482  { 0, 0, 0, 0, 0, -8, 12, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0},
1483  { 0, 0, 0, 0, 0, 0, 1, 0, 1,-2, 0, 0, 0, -1, 0, 0, 0},
1484  { 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, -14, 0, 0, 6},
1485  { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 6, 0, 0, 0},
1486  { 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, -74, 0, 0, 32},
1487  { 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, -3, -1, 0},
1488  { 0, 2,-2, 1, 0, -5, 5, 0, 0, 0, 0, 0, 0, 4, 0, 0, -2},
1489 
1490  /* 391-400 */
1491  { 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 8, 11, 0, 0},
1492  { 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 3, 2, 0},
1493  { 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, -262, 0, 0, 114},
1494  { 0, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0},
1495  { 0, 0, 0, 0, 0, -3, 6, 0, 0, 0, 0, 0, 1, -7, 0, 0, 4},
1496  { 0, 0, 0, 0, 0, -3, 6, 0, 0, 0, 0, 0, 2, 0, -27, -12, 0},
1497  { 0, 0, 0, 0, 0, 0, -1, 4, 0, 0, 0, 0, 2, -19, -8, -4, 8},
1498  { 0, 0, 0, 0, 0, -5, 7, 0, 0, 0, 0, 0, 2, 202, 0, 0, -87},
1499  { 0, 0, 0, 0, 0, -5, 7, 0, 0, 0, 0, 0, 1, -8, 35, 19, 5},
1500  { 0, 1,-1, 1, 0, -5, 6, 0, 0, 0, 0, 0, 0, 0, 4, 2, 0},
1501 
1502  /* 401-410 */
1503  { 0, 0, 0, 0, 0, 5, -7, 0, 0, 0, 0, 0, 0, 16, -5, 0, 0},
1504  { 0, 2,-2, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 5, 0, 0, -3},
1505  { 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, -3, 0, 0},
1506  { 0, 0, 0, 0,-1, 0, 3, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0},
1507  { 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, -35, -48, -21, 15},
1508  { 0, 0, 0, 0, 0, 0, -2, 6, 0, 0, 0, 0, 2, -3, -5, -2, 1},
1509  { 0, 0, 0, 1, 0, 2, -2, 0, 0, 0, 0, 0, 0, 6, 0, 0, -3},
1510  { 0, 0, 0, 0, 0, 0, -6, 9, 0, 0, 0, 0, 2, 3, 0, 0, -1},
1511  { 0, 0, 0, 0, 0, 0, 6, -9, 0, 0, 0, 0, 0, 0, -5, 0, 0},
1512  { 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 1, 12, 55, 29, -6},
1513 
1514  /* 411-420 */
1515  { 0, 1,-1, 1, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 5, 3, 0},
1516  { 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, -598, 0, 0, 0},
1517  { 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 1, -3, -13, -7, 1},
1518  { 0, 0, 0, 0, 0, 0, 1, 0, 3, 0, 0, 0, 2, -5, -7, -3, 2},
1519  { 0, 0, 0, 0, 0, 0, -5, 7, 0, 0, 0, 0, 2, 3, 0, 0, -1},
1520  { 0, 0, 0, 0, 0, 0, 5, -7, 0, 0, 0, 0, 0, 5, -7, 0, 0},
1521  { 0, 0, 0, 1, 0, -2, 2, 0, 0, 0, 0, 0, 0, 4, 0, 0, -2},
1522  { 0, 0, 0, 0, 0, 0, 4, -5, 0, 0, 0, 0, 0, 16, -6, 0, 0},
1523  { 0, 0, 0, 0, 0, 1, -3, 0, 0, 0, 0, 0, 0, 8, -3, 0, 0},
1524  { 0, 0, 0, 0, 0, -1, 3, 0, 0, 0, 0, 0, 1, 8, -31, -16, -4},
1525 
1526  /* 421-430 */
1527  { 0, 1,-1, 1, 0, -1, 2, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0},
1528  { 0, 0, 0, 0, 0, -1, 3, 0, 0, 0, 0, 0, 2, 113, 0, 0, -49},
1529  { 0, 0, 0, 0, 0, -7, 10, 0, 0, 0, 0, 0, 2, 0, -24, -10, 0},
1530  { 0, 0, 0, 0, 0, -7, 10, 0, 0, 0, 0, 0, 1, 4, 0, 0, -2},
1531  { 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 27, 0, 0, 0},
1532  { 0, 0, 0, 0, 0, -4, 8, 0, 0, 0, 0, 0, 2, -3, 0, 0, 1},
1533  { 0, 0, 0, 0, 0, -4, 5, 0, 0, 0, 0, 0, 2, 0, -4, -2, 0},
1534  { 0, 0, 0, 0, 0, -4, 5, 0, 0, 0, 0, 0, 1, 5, 0, 0, -2},
1535  { 0, 0, 0, 0, 0, 4, -5, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0},
1536  { 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, -13, 0, 0, 6},
1537 
1538  /* 431-440 */
1539  { 0, 0, 0, 0, 0, 0, -2, 0, 5, 0, 0, 0, 2, 5, 0, 0, -2},
1540  { 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 2, -18, -10, -4, 8},
1541  { 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -4, -28, 0, 0},
1542  { 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, -5, 6, 3, 2},
1543  { 0, 0, 0, 0, 0, -9, 13, 0, 0, 0, 0, 0, 2, -3, 0, 0, 1},
1544  { 0, 0, 0, 0, 0, 0, -1, 5, 0, 0, 0, 0, 2, -5, -9, -4, 2},
1545  { 0, 0, 0, 0, 0, 0, -2, 0, 4, 0, 0, 0, 2, 17, 0, 0, -7},
1546  { 0, 0, 0, 0, 0, 0, 2, 0,-4, 0, 0, 0, 0, 11, 4, 0, 0},
1547  { 0, 0, 0, 0, 0, 0, -2, 7, 0, 0, 0, 0, 2, 0, -6, -2, 0},
1548  { 0, 0, 0, 0, 0, 0, 2, 0,-3, 0, 0, 0, 0, 83, 15, 0, 0},
1549 
1550  /* 441-450 */
1551  { 0, 0, 0, 0, 0, -2, 5, 0, 0, 0, 0, 0, 1, -4, 0, 0, 2},
1552  { 0, 0, 0, 0, 0, -2, 5, 0, 0, 0, 0, 0, 2, 0,-114, -49, 0},
1553  { 0, 0, 0, 0, 0, -6, 8, 0, 0, 0, 0, 0, 2, 117, 0, 0, -51},
1554  { 0, 0, 0, 0, 0, -6, 8, 0, 0, 0, 0, 0, 1, -5, 19, 10, 2},
1555  { 0, 0, 0, 0, 0, 6, -8, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0},
1556  { 0, 0, 0, 1, 0, 0, 2, 0,-2, 0, 0, 0, 0, -3, 0, 0, 2},
1557  { 0, 0, 0, 0, 0, 0, -3, 9, 0, 0, 0, 0, 2, 0, -3, -1, 0},
1558  { 0, 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, 3, 0, 0, 0},
1559  { 0, 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 2, 0, -6, -2, 0},
1560  { 0, 0, 0, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, 393, 3, 0, 0},
1561 
1562  /* 451-460 */
1563  { 0, 0, 0, 0, 0, 0, 2, 0,-2, 0, 0, 0, 1, -4, 21, 11, 2},
1564  { 0, 0, 0, 0, 0, 0, 2, 0,-2, 0, 0, 0, 2, -6, 0, -1, 3},
1565  { 0, 0, 0, 0, 0, -5, 10, 0, 0, 0, 0, 0, 2, -3, 8, 4, 1},
1566  { 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 8, 0, 0, 0},
1567  { 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 2, 18, -29, -13, -8},
1568  { 0, 0, 0, 0, 0, -3, 3, 0, 0, 0, 0, 0, 1, 8, 34, 18, -4},
1569  { 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, 89, 0, 0, 0},
1570  { 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 1, 3, 12, 6, -1},
1571  { 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 2, 54, -15, -7, -24},
1572  { 0, 0, 0, 0, 0, 0, 2, 0, 0,-3, 0, 0, 0, 0, 3, 0, 0},
1573 
1574  /* 461-470 */
1575  { 0, 0, 0, 0, 0, 0, -5, 13, 0, 0, 0, 0, 2, 3, 0, 0, -1},
1576  { 0, 0, 0, 0, 0, 0, 2, 0,-1, 0, 0, 0, 0, 0, 35, 0, 0},
1577  { 0, 0, 0, 0, 0, 0, 2, 0,-1, 0, 0, 0, 2, -154, -30, -13, 67},
1578  { 0, 0, 0, 0, 0, 0, 2, 0, 0,-2, 0, 0, 0, 15, 0, 0, 0},
1579  { 0, 0, 0, 0, 0, 0, 2, 0, 0,-2, 0, 0, 1, 0, 4, 2, 0},
1580  { 0, 0, 0, 0, 0, 0, 3, -2, 0, 0, 0, 0, 0, 0, 9, 0, 0},
1581  { 0, 0, 0, 0, 0, 0, 3, -2, 0, 0, 0, 0, 2, 80, -71, -31, -35},
1582  { 0, 0, 0, 0, 0, 0, 2, 0, 0,-1, 0, 0, 2, 0, -20, -9, 0},
1583  { 0, 0, 0, 0, 0, 0, -6, 15, 0, 0, 0, 0, 2, 11, 5, 2, -5},
1584  { 0, 0, 0, 0, 0, -8, 15, 0, 0, 0, 0, 0, 2, 61, -96, -42, -27},
1585 
1586  /* 471-480 */
1587  { 0, 0, 0, 0, 0, -3, 9, -4, 0, 0, 0, 0, 2, 14, 9, 4, -6},
1588  { 0, 0, 0, 0, 0, 0, 2, 0, 2,-5, 0, 0, 2, -11, -6, -3, 5},
1589  { 0, 0, 0, 0, 0, 0, -2, 8,-1,-5, 0, 0, 2, 0, -3, -1, 0},
1590  { 0, 0, 0, 0, 0, 0, 6, -8, 3, 0, 0, 0, 2, 123,-415, -180, -53},
1591  { 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -35},
1592  { 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -5, 0, 0, 0},
1593  { 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 7, -32, -17, -4},
1594  { 0, 1,-1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -9, -5, 0},
1595  { 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, -4, 2, 0},
1596  { 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, -89, 0, 0, 38},
1597 
1598  /* 481-490 */
1599  { 0, 0, 0, 0, 0, 0, -6, 16,-4,-5, 0, 0, 2, 0, -86, -19, -6},
1600  { 0, 0, 0, 0, 0, 0, -2, 8,-3, 0, 0, 0, 2, 0, 0, -19, 6},
1601  { 0, 0, 0, 0, 0, 0, -2, 8,-3, 0, 0, 0, 2, -123,-416, -180, 53},
1602  { 0, 0, 0, 0, 0, 0, 6, -8, 1, 5, 0, 0, 2, 0, -3, -1, 0},
1603  { 0, 0, 0, 0, 0, 0, 2, 0,-2, 5, 0, 0, 2, 12, -6, -3, -5},
1604  { 0, 0, 0, 0, 0, 3, -5, 4, 0, 0, 0, 0, 2, -13, 9, 4, 6},
1605  { 0, 0, 0, 0, 0, -8, 11, 0, 0, 0, 0, 0, 2, 0, -15, -7, 0},
1606  { 0, 0, 0, 0, 0, -8, 11, 0, 0, 0, 0, 0, 1, 3, 0, 0, -1},
1607  { 0, 0, 0, 0, 0, -8, 11, 0, 0, 0, 0, 0, 2, -62, -97, -42, 27},
1608  { 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 2, -11, 5, 2, 5},
1609 
1610  /* 491-500 */
1611  { 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, -19, -8, 0},
1612  { 0, 0, 0, 0, 0, 3, -3, 0, 2, 0, 0, 0, 2, -3, 0, 0, 1},
1613  { 0, 2,-2, 1, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, 4, 2, 0},
1614  { 0, 1,-1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0},
1615  { 0, 2,-2, 1, 0, 0, -4, 8,-3, 0, 0, 0, 0, 0, 4, 2, 0},
1616  { 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, -85, -70, -31, 37},
1617  { 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 163, -12, -5, -72},
1618  { 0, 0, 0, 0, 0, -3, 7, 0, 0, 0, 0, 0, 2, -63, -16, -7, 28},
1619  { 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 2, -21, -32, -14, 9},
1620  { 0, 0, 0, 0, 0, -5, 6, 0, 0, 0, 0, 0, 2, 0, -3, -1, 0},
1621 
1622  /* 501-510 */
1623  { 0, 0, 0, 0, 0, -5, 6, 0, 0, 0, 0, 0, 1, 3, 0, 0, -2},
1624  { 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0},
1625  { 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, 2, 3, 10, 4, -1},
1626  { 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 3, 0, 0, -1},
1627  { 0, 0, 0, 0, 0, 0, -1, 6, 0, 0, 0, 0, 2, 0, -7, -3, 0},
1628  { 0, 0, 0, 0, 0, 0, 7, -9, 0, 0, 0, 0, 2, 0, -4, -2, 0},
1629  { 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, 0, 6, 19, 0, 0},
1630  { 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, 2, 5,-173, -75, -2},
1631  { 0, 0, 0, 0, 0, 0, 6, -7, 0, 0, 0, 0, 2, 0, -7, -3, 0},
1632  { 0, 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 2, 7, -12, -5, -3},
1633 
1634  /* 511-520 */
1635  { 0, 0, 0, 0, 0, -1, 4, 0, 0, 0, 0, 0, 1, -3, 0, 0, 2},
1636  { 0, 0, 0, 0, 0, -1, 4, 0, 0, 0, 0, 0, 2, 3, -4, -2, -1},
1637  { 0, 0, 0, 0, 0, -7, 9, 0, 0, 0, 0, 0, 2, 74, 0, 0, -32},
1638  { 0, 0, 0, 0, 0, -7, 9, 0, 0, 0, 0, 0, 1, -3, 12, 6, 2},
1639  { 0, 0, 0, 0, 0, 0, 4, -3, 0, 0, 0, 0, 2, 26, -14, -6, -11},
1640  { 0, 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 2, 19, 0, 0, -8},
1641  { 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 1, 6, 24, 13, -3},
1642  { 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 83, 0, 0, 0},
1643  { 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 1, 0, -10, -5, 0},
1644  { 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 2, 11, -3, -1, -5},
1645 
1646  /* 521-530 */
1647  { 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 3, 0, 1, -1},
1648  { 0, 0, 0, 0, 0, 0, -3, 0, 5, 0, 0, 0, 2, 3, 0, 0, -1},
1649  { 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0},
1650  { 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 5, -23, -12, -3},
1651  { 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, -339, 0, 0, 147},
1652  { 0, 0, 0, 0, 0, -9, 12, 0, 0, 0, 0, 0, 2, 0, -10, -5, 0},
1653  { 0, 0, 0, 0, 0, 0, 3, 0,-4, 0, 0, 0, 0, 5, 0, 0, 0},
1654  { 0, 2,-2, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 3, 0, 0, -1},
1655  { 0, 0, 0, 0, 0, 0, 7, -8, 0, 0, 0, 0, 2, 0, -4, -2, 0},
1656  { 0, 0, 0, 0, 0, 0, 3, 0,-3, 0, 0, 0, 0, 18, -3, 0, 0},
1657 
1658  /* 531-540 */
1659  { 0, 0, 0, 0, 0, 0, 3, 0,-3, 0, 0, 0, 2, 9, -11, -5, -4},
1660  { 0, 0, 0, 0, 0, -2, 6, 0, 0, 0, 0, 0, 2, -8, 0, 0, 4},
1661  { 0, 0, 0, 0, 0, -6, 7, 0, 0, 0, 0, 0, 1, 3, 0, 0, -1},
1662  { 0, 0, 0, 0, 0, 6, -7, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0},
1663  { 0, 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 2, 6, -9, -4, -2},
1664  { 0, 0, 0, 0, 0, 0, 3, 0,-2, 0, 0, 0, 0, -4, -12, 0, 0},
1665  { 0, 0, 0, 0, 0, 0, 3, 0,-2, 0, 0, 0, 2, 67, -91, -39, -29},
1666  { 0, 0, 0, 0, 0, 0, 5, -4, 0, 0, 0, 0, 2, 30, -18, -8, -13},
1667  { 0, 0, 0, 0, 0, 3, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
1668  { 0, 0, 0, 0, 0, 3, -2, 0, 0, 0, 0, 0, 2, 0,-114, -50, 0},
1669 
1670  /* 541-550 */
1671  { 0, 0, 0, 0, 0, 0, 3, 0,-1, 0, 0, 0, 2, 0, 0, 0, 23},
1672  { 0, 0, 0, 0, 0, 0, 3, 0,-1, 0, 0, 0, 2, 517, 16, 7,-224},
1673  { 0, 0, 0, 0, 0, 0, 3, 0, 0,-2, 0, 0, 2, 0, -7, -3, 0},
1674  { 0, 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 2, 143, -3, -1, -62},
1675  { 0, 0, 0, 0, 0, 0, 3, 0, 0,-1, 0, 0, 2, 29, 0, 0, -13},
1676  { 0, 2,-2, 1, 0, 0, 1, 0,-1, 0, 0, 0, 0, -4, 0, 0, 2},
1677  { 0, 0, 0, 0, 0, -8, 16, 0, 0, 0, 0, 0, 2, -6, 0, 0, 3},
1678  { 0, 0, 0, 0, 0, 0, 3, 0, 2,-5, 0, 0, 2, 5, 12, 5, -2},
1679  { 0, 0, 0, 0, 0, 0, 7, -8, 3, 0, 0, 0, 2, -25, 0, 0, 11},
1680  { 0, 0, 0, 0, 0, 0, -5, 16,-4,-5, 0, 0, 2, -3, 0, 0, 1},
1681 
1682  /* 551-560 */
1683  { 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0, 4, 2, 0},
1684  { 0, 0, 0, 0, 0, 0, -1, 8,-3, 0, 0, 0, 2, -22, 12, 5, 10},
1685  { 0, 0, 0, 0, 0, -8, 10, 0, 0, 0, 0, 0, 2, 50, 0, 0, -22},
1686  { 0, 0, 0, 0, 0, -8, 10, 0, 0, 0, 0, 0, 1, 0, 7, 4, 0},
1687  { 0, 0, 0, 0, 0, -8, 10, 0, 0, 0, 0, 0, 2, 0, 3, 1, 0},
1688  { 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, -4, 4, 2, 2},
1689  { 0, 0, 0, 0, 0, 0, 3, 0, 1, 0, 0, 0, 2, -5, -11, -5, 2},
1690  { 0, 0, 0, 0, 0, -3, 8, 0, 0, 0, 0, 0, 2, 0, 4, 2, 0},
1691  { 0, 0, 0, 0, 0, -5, 5, 0, 0, 0, 0, 0, 1, 4, 17, 9, -2},
1692  { 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 0, 0, 59, 0, 0, 0},
1693 
1694  /* 561-570 */
1695  { 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 0, 1, 0, -4, -2, 0},
1696  { 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 0, 2, -8, 0, 0, 4},
1697  { 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0},
1698  { 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 4, -15, -8, -2},
1699  { 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 370, -8, 0,-160},
1700  { 0, 0, 0, 0, 0, 0, 7, -7, 0, 0, 0, 0, 2, 0, 0, -3, 0},
1701  { 0, 0, 0, 0, 0, 0, 7, -7, 0, 0, 0, 0, 2, 0, 3, 1, 0},
1702  { 0, 0, 0, 0, 0, 0, 6, -5, 0, 0, 0, 0, 2, -6, 3, 1, 3},
1703  { 0, 0, 0, 0, 0, 7, -8, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0},
1704  { 0, 0, 0, 0, 0, 0, 5, -3, 0, 0, 0, 0, 2, -10, 0, 0, 4},
1705 
1706  /* 571-580 */
1707  { 0, 0, 0, 0, 0, 4, -3, 0, 0, 0, 0, 0, 2, 0, 9, 4, 0},
1708  { 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 4, 17, 7, -2},
1709  { 0, 0, 0, 0, 0, -9, 11, 0, 0, 0, 0, 0, 2, 34, 0, 0, -15},
1710  { 0, 0, 0, 0, 0, -9, 11, 0, 0, 0, 0, 0, 1, 0, 5, 3, 0},
1711  { 0, 0, 0, 0, 0, 0, 4, 0,-4, 0, 0, 0, 2, -5, 0, 0, 2},
1712  { 0, 0, 0, 0, 0, 0, 4, 0,-3, 0, 0, 0, 2, -37, -7, -3, 16},
1713  { 0, 0, 0, 0, 0, -6, 6, 0, 0, 0, 0, 0, 1, 3, 13, 7, -2},
1714  { 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0},
1715  { 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 0, 1, 0, -3, -2, 0},
1716  { 0, 0, 0, 0, 0, 0, 4, 0,-2, 0, 0, 0, 2, -184, -3, -1, 80},
1717 
1718  /* 581-590 */
1719  { 0, 0, 0, 0, 0, 0, 6, -4, 0, 0, 0, 0, 2, -3, 0, 0, 1},
1720  { 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0},
1721  { 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 0, 1, 0, -10, -6, -1},
1722  { 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 0, 2, 31, -6, 0, -13},
1723  { 0, 0, 0, 0, 0, 0, 4, 0,-1, 0, 0, 0, 2, -3, -32, -14, 1},
1724  { 0, 0, 0, 0, 0, 0, 4, 0, 0,-2, 0, 0, 2, -7, 0, 0, 3},
1725  { 0, 0, 0, 0, 0, 0, 5, -2, 0, 0, 0, 0, 2, 0, -8, -4, 0},
1726  { 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 3, -4, 0, 0},
1727  { 0, 0, 0, 0, 0, 8, -9, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0},
1728  { 0, 0, 0, 0, 0, 5, -4, 0, 0, 0, 0, 0, 2, 0, 3, 1, 0},
1729 
1730  /* 591-600 */
1731  { 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 19, -23, -10, 2},
1732  { 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -10},
1733  { 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 3, 2, 0},
1734  { 0, 0, 0, 0, 0, -7, 7, 0, 0, 0, 0, 0, 1, 0, 9, 5, -1},
1735  { 0, 0, 0, 0, 0, 7, -7, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0},
1736  { 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 1, 0, -7, -4, 0},
1737  { 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 2, 8, -4, 0, -4},
1738  { 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0},
1739  { 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0},
1740  { 0, 0, 0, 0, 0, 0, 5, 0,-4, 0, 0, 0, 2, -3, 0, 0, 1},
1741 
1742  /* 601-610 */
1743  { 0, 0, 0, 0, 0, 0, 5, 0,-3, 0, 0, 0, 2, -9, 0, 1, 4},
1744  { 0, 0, 0, 0, 0, 0, 5, 0,-2, 0, 0, 0, 2, 3, 12, 5, -1},
1745  { 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 2, 17, -3, -1, 0},
1746  { 0, 0, 0, 0, 0, -8, 8, 0, 0, 0, 0, 0, 1, 0, 7, 4, 0},
1747  { 0, 0, 0, 0, 0, 8, -8, 0, 0, 0, 0, 0, 0, 19, 0, 0, 0},
1748  { 0, 0, 0, 0, 0, 5, -3, 0, 0, 0, 0, 0, 1, 0, -5, -3, 0},
1749  { 0, 0, 0, 0, 0, 5, -3, 0, 0, 0, 0, 0, 2, 14, -3, 0, -1},
1750  { 0, 0, 0, 0, 0, -9, 9, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0},
1751  { 0, 0, 0, 0, 0, -9, 9, 0, 0, 0, 0, 0, 1, 0, 0, 0, -5},
1752  { 0, 0, 0, 0, 0, -9, 9, 0, 0, 0, 0, 0, 1, 0, 5, 3, 0},
1753 
1754  /* 611-620 */
1755  { 0, 0, 0, 0, 0, 9, -9, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0},
1756  { 0, 0, 0, 0, 0, 6, -4, 0, 0, 0, 0, 0, 1, 0, -3, -2, 0},
1757  { 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 2, 2, 9, 4, 3},
1758  { 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4},
1759  { 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0},
1760  { 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 1, 0, 4, 2, 0},
1761  { 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 2, 6, 0, 0, -3},
1762  { 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0},
1763  { 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 1, 0, 3, 1, 0},
1764  { 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 2, 5, 0, 0, -2},
1765 
1766  /* 621-630 */
1767  { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, -1},
1768  { 1, 0,-2, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, -3, 0, 0, 0},
1769  { 1, 0,-2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0},
1770  { 1, 0,-2, 0, 0, 0, 1, 0,-1, 0, 0, 0, 0, 7, 0, 0, 0},
1771  { 1, 0,-2, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0},
1772  {-1, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0},
1773  {-1, 0, 0, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, 6, 0, 0, 0},
1774  {-1, 0, 2, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, -4, 0, 0},
1775  { 1, 0,-2, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, -4, 0, 0},
1776  {-2, 0, 2, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0, 5, 0, 0, 0},
1777 
1778  /* 631-640 */
1779  {-1, 0, 0, 0, 0, 0, 2, 0,-3, 0, 0, 0, 0, -3, 0, 0, 0},
1780  {-1, 0, 0, 0, 0, 0, 1, 0,-1, 0, 0, 0, 0, 4, 0, 0, 0},
1781  {-1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, -5, 0, 0, 0},
1782  {-1, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0},
1783  { 1,-1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0},
1784  {-1, 0, 2, 0, 0, 0, 2, 0,-3, 0, 0, 0, 0, 13, 0, 0, 0},
1785  {-2, 0, 0, 0, 0, 0, 2, 0,-3, 0, 0, 0, 0, 21, 11, 0, 0},
1786  { 1, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, -5, 0, 0},
1787  {-1, 1,-1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -5, -2, 0},
1788  { 1, 1,-1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 5, 3, 0},
1789 
1790  /* 641-650 */
1791  {-1, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, -5, 0, 0},
1792  {-1, 0, 2, 1, 0, 0, 2, 0,-2, 0, 0, 0, 0, -3, 0, 0, 2},
1793  { 0, 0, 0, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, 20, 10, 0, 0},
1794  {-1, 0, 2, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, -34, 0, 0, 0},
1795  {-1, 0, 2, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, -19, 0, 0, 0},
1796  { 1, 0,-2, 1, 0, 0, -2, 0, 2, 0, 0, 0, 0, 3, 0, 0, -2},
1797  { 1, 2,-2, 2, 0, -3, 3, 0, 0, 0, 0, 0, 0, -3, 0, 0, 1},
1798  { 1, 2,-2, 2, 0, 0, -2, 0, 2, 0, 0, 0, 0, -6, 0, 0, 3},
1799  { 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0},
1800  { 1, 0, 0, 0, 0, 0, 1, 0,-1, 0, 0, 0, 0, 3, 0, 0, 0},
1801 
1802  /* 651-660 */
1803  { 0, 0,-2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0},
1804  { 0, 0,-2, 0, 0, 0, 1, 0,-1, 0, 0, 0, 0, 4, 0, 0, 0},
1805  { 0, 2, 0, 2, 0, -2, 2, 0, 0, 0, 0, 0, 0, 3, 0, 0, -1},
1806  { 0, 2, 0, 2, 0, 0, -1, 0, 1, 0, 0, 0, 0, 6, 0, 0, -3},
1807  { 0, 2, 0, 2, 0, -1, 1, 0, 0, 0, 0, 0, 0, -8, 0, 0, 3},
1808  { 0, 2, 0, 2, 0, -2, 3, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0},
1809  { 0, 0, 2, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, -3, 0, 0, 0},
1810  { 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -3, -2, 0},
1811  { 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 126, -63, -27, -55},
1812  {-1, 2, 0, 2, 0, 10, -3, 0, 0, 0, 0, 0, 0, -5, 0, 1, 2},
1813 
1814  /* 661-670 */
1815  { 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, -3, 28, 15, 2},
1816  { 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 5, 0, 1, -2},
1817  { 0, 2, 0, 2, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, 9, 4, 1},
1818  { 0, 2, 0, 2, 0, 0, -4, 8,-3, 0, 0, 0, 0, 0, 9, 4, -1},
1819  {-1, 2, 0, 2, 0, 0, -4, 8,-3, 0, 0, 0, 0, -126, -63, -27, 55},
1820  { 2, 2,-2, 2, 0, 0, -2, 0, 3, 0, 0, 0, 0, 3, 0, 0, -1},
1821  { 1, 2, 0, 1, 0, 0, -2, 0, 3, 0, 0, 0, 0, 21, -11, -6, -11},
1822  { 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0},
1823  {-1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, -21, -11, -6, 11},
1824  {-2, 2, 2, 2, 0, 0, 2, 0,-2, 0, 0, 0, 0, -3, 0, 0, 1},
1825 
1826  /* 671-680 */
1827  { 0, 2, 0, 2, 0, 2, -3, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0},
1828  { 0, 2, 0, 2, 0, 1, -1, 0, 0, 0, 0, 0, 0, 8, 0, 0, -4},
1829  { 0, 2, 0, 2, 0, 0, 1, 0,-1, 0, 0, 0, 0, -6, 0, 0, 3},
1830  { 0, 2, 0, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, -3, 0, 0, 1},
1831  {-1, 2, 2, 2, 0, 0, -1, 0, 1, 0, 0, 0, 0, 3, 0, 0, -1},
1832  { 1, 2, 0, 2, 0, -1, 1, 0, 0, 0, 0, 0, 0, -3, 0, 0, 1},
1833  {-1, 2, 2, 2, 0, 0, 2, 0,-3, 0, 0, 0, 0, -5, 0, 0, 2},
1834  { 2, 2, 0, 2, 0, 0, 2, 0,-3, 0, 0, 0, 0, 24, -12, -5, -11},
1835  { 1, 2, 0, 2, 0, 0, -4, 8,-3, 0, 0, 0, 0, 0, 3, 1, 0},
1836  { 1, 2, 0, 2, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, 3, 1, 0},
1837 
1838  /* 681-687 */
1839  { 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0},
1840  { 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, -24, -12, -5, 10},
1841  { 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 4, 0, -1, -2},
1842  {-1, 2, 2, 2, 0, 0, 2, 0,-2, 0, 0, 0, 0, 13, 0, 0, -6},
1843  {-1, 2, 2, 2, 0, 3, -3, 0, 0, 0, 0, 0, 0, 7, 0, 0, -3},
1844  { 1, 2, 0, 2, 0, 1, -1, 0, 0, 0, 0, 0, 0, 3, 0, 0, -1},
1845  { 0, 2, 2, 2, 0, 0, 2, 0,-2, 0, 0, 0, 0, 3, 0, 0, -1}
1846  };
1847 
1848 /* Number of terms in the planetary nutation model */
1849  const int NPL = (int) (sizeof xpl / sizeof xpl[0]);
1850 
1851 /*--------------------------------------------------------------------*/
1852 
1853 /* Interval between fundamental date J2000.0 and given date (JC). */
1854  t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC;
1855 
1856 /* ------------------- */
1857 /* LUNI-SOLAR NUTATION */
1858 /* ------------------- */
1859 
1860 /* Fundamental (Delaunay) arguments */
1861 
1862 /* Mean anomaly of the Moon (IERS 2003). */
1863  el = eraFal03(t);
1864 
1865 /* Mean anomaly of the Sun (MHB2000). */
1866  elp = fmod(1287104.79305 +
1867  t * (129596581.0481 +
1868  t * (-0.5532 +
1869  t * (0.000136 +
1870  t * (-0.00001149)))), ERFA_TURNAS) * ERFA_DAS2R;
1871 
1872 /* Mean longitude of the Moon minus that of the ascending node */
1873 /* (IERS 2003. */
1874  f = eraFaf03(t);
1875 
1876 /* Mean elongation of the Moon from the Sun (MHB2000). */
1877  d = fmod(1072260.70369 +
1878  t * (1602961601.2090 +
1879  t * (-6.3706 +
1880  t * (0.006593 +
1881  t * (-0.00003169)))), ERFA_TURNAS) * ERFA_DAS2R;
1882 
1883 /* Mean longitude of the ascending node of the Moon (IERS 2003). */
1884  om = eraFaom03(t);
1885 
1886 /* Initialize the nutation values. */
1887  dp = 0.0;
1888  de = 0.0;
1889 
1890 /* Summation of luni-solar nutation series (in reverse order). */
1891  for (i = NLS-1; i >= 0; i--) {
1892 
1893  /* Argument and functions. */
1894  arg = fmod((double)xls[i].nl * el +
1895  (double)xls[i].nlp * elp +
1896  (double)xls[i].nf * f +
1897  (double)xls[i].nd * d +
1898  (double)xls[i].nom * om, ERFA_D2PI);
1899  sarg = sin(arg);
1900  carg = cos(arg);
1901 
1902  /* Term. */
1903  dp += (xls[i].sp + xls[i].spt * t) * sarg + xls[i].cp * carg;
1904  de += (xls[i].ce + xls[i].cet * t) * carg + xls[i].se * sarg;
1905  }
1906 
1907 /* Convert from 0.1 microarcsec units to radians. */
1908  dpsils = dp * U2R;
1909  depsls = de * U2R;
1910 
1911 /* ------------------ */
1912 /* PLANETARY NUTATION */
1913 /* ------------------ */
1914 
1915 /* n.b. The MHB2000 code computes the luni-solar and planetary nutation */
1916 /* in different functions, using slightly different Delaunay */
1917 /* arguments in the two cases. This behaviour is faithfully */
1918 /* reproduced here. Use of the IERS 2003 expressions for both */
1919 /* cases leads to negligible changes, well below */
1920 /* 0.1 microarcsecond. */
1921 
1922 /* Mean anomaly of the Moon (MHB2000). */
1923  al = fmod(2.35555598 + 8328.6914269554 * t, ERFA_D2PI);
1924 
1925 /* Mean longitude of the Moon minus that of the ascending node */
1926 /*(MHB2000). */
1927  af = fmod(1.627905234 + 8433.466158131 * t, ERFA_D2PI);
1928 
1929 /* Mean elongation of the Moon from the Sun (MHB2000). */
1930  ad = fmod(5.198466741 + 7771.3771468121 * t, ERFA_D2PI);
1931 
1932 /* Mean longitude of the ascending node of the Moon (MHB2000). */
1933  aom = fmod(2.18243920 - 33.757045 * t, ERFA_D2PI);
1934 
1935 /* General accumulated precession in longitude (IERS 2003). */
1936  apa = eraFapa03(t);
1937 
1938 /* Planetary longitudes, Mercury through Uranus (IERS 2003). */
1939  alme = eraFame03(t);
1940  alve = eraFave03(t);
1941  alea = eraFae03(t);
1942  alma = eraFama03(t);
1943  alju = eraFaju03(t);
1944  alsa = eraFasa03(t);
1945  alur = eraFaur03(t);
1946 
1947 /* Neptune longitude (MHB2000). */
1948  alne = fmod(5.321159000 + 3.8127774000 * t, ERFA_D2PI);
1949 
1950 /* Initialize the nutation values. */
1951  dp = 0.0;
1952  de = 0.0;
1953 
1954 /* Summation of planetary nutation series (in reverse order). */
1955  for (i = NPL-1; i >= 0; i--) {
1956 
1957  /* Argument and functions. */
1958  arg = fmod((double)xpl[i].nl * al +
1959  (double)xpl[i].nf * af +
1960  (double)xpl[i].nd * ad +
1961  (double)xpl[i].nom * aom +
1962  (double)xpl[i].nme * alme +
1963  (double)xpl[i].nve * alve +
1964  (double)xpl[i].nea * alea +
1965  (double)xpl[i].nma * alma +
1966  (double)xpl[i].nju * alju +
1967  (double)xpl[i].nsa * alsa +
1968  (double)xpl[i].nur * alur +
1969  (double)xpl[i].nne * alne +
1970  (double)xpl[i].npa * apa, ERFA_D2PI);
1971  sarg = sin(arg);
1972  carg = cos(arg);
1973 
1974  /* Term. */
1975  dp += (double)xpl[i].sp * sarg + (double)xpl[i].cp * carg;
1976  de += (double)xpl[i].se * sarg + (double)xpl[i].ce * carg;
1977 
1978  }
1979 
1980 /* Convert from 0.1 microarcsec units to radians. */
1981  dpsipl = dp * U2R;
1982  depspl = de * U2R;
1983 
1984 /* ------- */
1985 /* RESULTS */
1986 /* ------- */
1987 
1988 /* Add luni-solar and planetary components. */
1989  *dpsi = dpsils + dpsipl;
1990  *deps = depsls + depspl;
1991 
1992  return;
1993 
1994 }
1995 /*----------------------------------------------------------------------
1996 **
1997 **
1998 ** Copyright (C) 2013-2015, NumFOCUS Foundation.
1999 ** All rights reserved.
2000 **
2001 ** This library is derived, with permission, from the International
2002 ** Astronomical Union's "Standards of Fundamental Astronomy" library,
2003 ** available from http://www.iausofa.org.
2004 **
2005 ** The ERFA version is intended to retain identical functionality to
2006 ** the SOFA library, but made distinct through different function and
2007 ** file names, as set out in the SOFA license conditions. The SOFA
2008 ** original has a role as a reference standard for the IAU and IERS,
2009 ** and consequently redistribution is permitted only in its unaltered
2010 ** state. The ERFA version is not subject to this restriction and
2011 ** therefore can be included in distributions which do not support the
2012 ** concept of "read only" software.
2013 **
2014 ** Although the intent is to replicate the SOFA API (other than
2015 ** replacement of prefix names) and results (with the exception of
2016 ** bugs; any that are discovered will be fixed), SOFA is not
2017 ** responsible for any errors found in this version of the library.
2018 **
2019 ** If you wish to acknowledge the SOFA heritage, please acknowledge
2020 ** that you are using a library derived from SOFA, rather than SOFA
2021 ** itself.
2022 **
2023 **
2024 ** TERMS AND CONDITIONS
2025 **
2026 ** Redistribution and use in source and binary forms, with or without
2027 ** modification, are permitted provided that the following conditions
2028 ** are met:
2029 **
2030 ** 1 Redistributions of source code must retain the above copyright
2031 ** notice, this list of conditions and the following disclaimer.
2032 **
2033 ** 2 Redistributions in binary form must reproduce the above copyright
2034 ** notice, this list of conditions and the following disclaimer in
2035 ** the documentation and/or other materials provided with the
2036 ** distribution.
2037 **
2038 ** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
2039 ** the International Astronomical Union nor the names of its
2040 ** contributors may be used to endorse or promote products derived
2041 ** from this software without specific prior written permission.
2042 **
2043 ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
2044 ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
2045 ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
2046 ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
2047 ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
2048 ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
2049 ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
2050 ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
2051 ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
2052 ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
2053 ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
2054 ** POSSIBILITY OF SUCH DAMAGE.
2055 **
2056 */
ERFA_DJ00
#define ERFA_DJ00
Definition: erfam.h:87
eraFae03
double eraFae03(double t)
Definition: fae03.c:3
eraFapa03
double eraFapa03(double t)
Definition: fapa03.c:3
eraFal03
double eraFal03(double t)
Definition: fal03.c:3
i
int i
Definition: db_dim_client.c:21
ERFA_TURNAS
#define ERFA_TURNAS
Definition: erfam.h:66
ERFA_DAS2R
#define ERFA_DAS2R
Definition: erfam.h:60
eraFaom03
double eraFaom03(double t)
Definition: faom03.c:3
eraFame03
double eraFame03(double t)
Definition: fame03.c:3
ERFA_D2PI
#define ERFA_D2PI
Definition: erfam.h:48
eraFaf03
double eraFaf03(double t)
Definition: faf03.c:3
ERFA_DJC
#define ERFA_DJC
Definition: erfam.h:81
eraNut00a
void eraNut00a(double date1, double date2, double *dpsi, double *deps)
Definition: nut00a.c:3
eraFaju03
double eraFaju03(double t)
Definition: faju03.c:3
t
TT t
Definition: test_client.c:26
eraFasa03
double eraFasa03(double t)
Definition: fasa03.c:3
eraFave03
double eraFave03(double t)
Definition: fave03.c:3
eraFama03
double eraFama03(double t)
Definition: fama03.c:3
eraFaur03
double eraFaur03(double t)
Definition: faur03.c:3