1 #include "erfa.h"
2 #include "erfam.h"
3 
eraEpv00(double date1,double date2,double pvh[2][3],double pvb[2][3])4 int eraEpv00(double date1, double date2,
5              double pvh[2][3], double pvb[2][3])
6 /*
7 **  - - - - - - - - -
8 **   e r a E p v 0 0
9 **  - - - - - - - - -
10 **
11 **  Earth position and velocity, heliocentric and barycentric, with
12 **  respect to the Barycentric Celestial Reference System.
13 **
14 **  Given:
15 **     date1,date2  double        TDB date (Note 1)
16 **
17 **  Returned:
18 **     pvh          double[2][3]  heliocentric Earth position/velocity
19 **     pvb          double[2][3]  barycentric Earth position/velocity
20 **
21 **  Returned (function value):
22 **                  int           status: 0 = OK
23 **                                       +1 = warning: date outside
24 **                                            the range 1900-2100 AD
25 **
26 **  Notes:
27 **
28 **  1) The TDB date date1+date2 is a Julian Date, apportioned in any
29 **     convenient way between the two arguments.  For example,
30 **     JD(TDB)=2450123.7 could be expressed in any of these ways, among
31 **     others:
32 **
33 **            date1          date2
34 **
35 **         2450123.7           0.0       (JD method)
36 **         2451545.0       -1421.3       (J2000 method)
37 **         2400000.5       50123.2       (MJD method)
38 **         2450123.5           0.2       (date & time method)
39 **
40 **     The JD method is the most natural and convenient to use in cases
41 **     where the loss of several decimal digits of resolution is
42 **     acceptable.  The J2000 method is best matched to the way the
43 **     argument is handled internally and will deliver the optimum
44 **     resolution.  The MJD method and the date & time methods are both
45 **     good compromises between resolution and convenience.  However,
46 **     the accuracy of the result is more likely to be limited by the
47 **     algorithm itself than the way the date has been expressed.
48 **
49 **     n.b. TT can be used instead of TDB in most applications.
50 **
51 **  2) On return, the arrays pvh and pvb contain the following:
52 **
53 **        pvh[0][0]  x       }
54 **        pvh[0][1]  y       } heliocentric position, au
55 **        pvh[0][2]  z       }
56 **
57 **        pvh[1][0]  xdot    }
58 **        pvh[1][1]  ydot    } heliocentric velocity, au/d
59 **        pvh[1][2]  zdot    }
60 **
61 **        pvb[0][0]  x       }
62 **        pvb[0][1]  y       } barycentric position, au
63 **        pvb[0][2]  z       }
64 **
65 **        pvb[1][0]  xdot    }
66 **        pvb[1][1]  ydot    } barycentric velocity, au/d
67 **        pvb[1][2]  zdot    }
68 **
69 **     The vectors are with respect to the Barycentric Celestial
70 **     Reference System.  The time unit is one day in TDB.
71 **
72 **  3) The function is a SIMPLIFIED SOLUTION from the planetary theory
73 **     VSOP2000 (X. Moisson, P. Bretagnon, 2001, Celes. Mechanics &
74 **     Dyn. Astron., 80, 3/4, 205-213) and is an adaptation of original
75 **     Fortran code supplied by P. Bretagnon (private comm., 2000).
76 **
77 **  4) Comparisons over the time span 1900-2100 with this simplified
78 **     solution and the JPL DE405 ephemeris give the following results:
79 **
80 **                                RMS    max
81 **           Heliocentric:
82 **              position error    3.7   11.2   km
83 **              velocity error    1.4    5.0   mm/s
84 **
85 **           Barycentric:
86 **              position error    4.6   13.4   km
87 **              velocity error    1.4    4.9   mm/s
88 **
89 **     Comparisons with the JPL DE406 ephemeris show that by 1800 and
90 **     2200 the position errors are approximately double their 1900-2100
91 **     size.  By 1500 and 2500 the deterioration is a factor of 10 and
92 **     by 1000 and 3000 a factor of 60.  The velocity accuracy falls off
93 **     at about half that rate.
94 **
95 **  5) It is permissible to use the same array for pvh and pvb, which
96 **     will receive the barycentric values.
97 **
98 **  This revision:  2021 May 11
99 **
100 **  Copyright (C) 2013-2021, NumFOCUS Foundation.
101 **  Derived, with permission, from the SOFA library.  See notes at end of file.
102 */
103 {
104 /*
105 ** Matrix elements for orienting the analytical model to DE405.
106 **
107 ** The corresponding Euler angles are:
108 **
109 **                       d  '  "
110 **   1st rotation    -  23 26 21.4091 about the x-axis  (obliquity)
111 **   2nd rotation    +         0.0475 about the z-axis  (RA offset)
112 **
113 ** These were obtained empirically, by comparisons with DE405 over
114 ** 1900-2100.
115 */
116    static const double am12 =  0.000000211284,
117                        am13 = -0.000000091603,
118                        am21 = -0.000000230286,
119                        am22 =  0.917482137087,
120                        am23 = -0.397776982902,
121                        am32 =  0.397776982902,
122                        am33 =  0.917482137087;
123 
124 /*
125 ** ----------------------
126 ** Ephemeris Coefficients
127 ** ----------------------
128 **
129 ** The ephemeris consists of harmonic terms for predicting (i) the Sun
130 ** to Earth vector and (ii) the Solar-System-barycenter to Sun vector
131 ** respectively.  The coefficients are stored in arrays which, although
132 ** 1-demensional, contain groups of three.  Each triplet of
133 ** coefficients is the amplitude, phase and frequency for one term in
134 ** the model, and each array contains the number of terms called for by
135 ** the model.
136 **
137 ** There are eighteen such arrays, named as follows:
138 **
139 **     array         model      power of T      component
140 **
141 **      e0x      Sun-to-Earth        0              x
142 **      e0y      Sun-to-Earth        0              y
143 **      e0z      Sun-to-Earth        0              z
144 **
145 **      e1x      Sun-to-Earth        1              x
146 **      e1y      Sun-to-Earth        1              y
147 **      e1z      Sun-to-Earth        1              z
148 **
149 **      e2x      Sun-to-Earth        2              x
150 **      e2y      Sun-to-Earth        2              y
151 **      e2z      Sun-to-Earth        2              z
152 **
153 **      s0x      SSB-to-Sun          0              x
154 **      s0y      SSB-to-Sun          0              y
155 **      s0z      SSB-to-Sun          0              z
156 **
157 **      s1x      SSB-to-Sun          1              x
158 **      s1y      SSB-to-Sun          1              y
159 **      s1z      SSB-to-Sun          1              z
160 **
161 **      s2x      SSB-to-Sun          2              x
162 **      s2y      SSB-to-Sun          2              y
163 **      s2z      SSB-to-Sun          2              z
164 */
165 
166 /* Sun-to-Earth, T^0, X */
167    static const double e0x[] = {
168       0.9998292878132e+00, 0.1753485171504e+01, 0.6283075850446e+01,
169       0.8352579567414e-02, 0.1710344404582e+01, 0.1256615170089e+02,
170       0.5611445335148e-02, 0.0000000000000e+00, 0.0000000000000e+00,
171       0.1046664295572e-03, 0.1667225416770e+01, 0.1884922755134e+02,
172       0.3110842534677e-04, 0.6687513390251e+00, 0.8399684731857e+02,
173       0.2552413503550e-04, 0.5830637358413e+00, 0.5296909721118e+00,
174       0.2137207845781e-04, 0.1092330954011e+01, 0.1577343543434e+01,
175       0.1680240182951e-04, 0.4955366134987e+00, 0.6279552690824e+01,
176       0.1679012370795e-04, 0.6153014091901e+01, 0.6286599010068e+01,
177       0.1445526946777e-04, 0.3472744100492e+01, 0.2352866153506e+01,
178 
179       0.1091038246184e-04, 0.3689845786119e+01, 0.5223693906222e+01,
180       0.9344399733932e-05, 0.6073934645672e+01, 0.1203646072878e+02,
181       0.8993182910652e-05, 0.3175705249069e+01, 0.1021328554739e+02,
182       0.5665546034116e-05, 0.2152484672246e+01, 0.1059381944224e+01,
183       0.6844146703035e-05, 0.1306964099750e+01, 0.5753384878334e+01,
184       0.7346610905565e-05, 0.4354980070466e+01, 0.3981490189893e+00,
185       0.6815396474414e-05, 0.2218229211267e+01, 0.4705732307012e+01,
186       0.6112787253053e-05, 0.5384788425458e+01, 0.6812766822558e+01,
187       0.4518120711239e-05, 0.6087604012291e+01, 0.5884926831456e+01,
188       0.4521963430706e-05, 0.1279424524906e+01, 0.6256777527156e+01,
189 
190       0.4497426764085e-05, 0.5369129144266e+01, 0.6309374173736e+01,
191       0.4062190566959e-05, 0.5436473303367e+00, 0.6681224869435e+01,
192       0.5412193480192e-05, 0.7867838528395e+00, 0.7755226100720e+00,
193       0.5469839049386e-05, 0.1461440311134e+01, 0.1414349524433e+02,
194       0.5205264083477e-05, 0.4432944696116e+01, 0.7860419393880e+01,
195       0.2149759935455e-05, 0.4502237496846e+01, 0.1150676975667e+02,
196       0.2279109618501e-05, 0.1239441308815e+01, 0.7058598460518e+01,
197       0.2259282939683e-05, 0.3272430985331e+01, 0.4694002934110e+01,
198       0.2558950271319e-05, 0.2265471086404e+01, 0.1216800268190e+02,
199       0.2561581447555e-05, 0.1454740653245e+01, 0.7099330490126e+00,
200 
201       0.1781441115440e-05, 0.2962068630206e+01, 0.7962980379786e+00,
202       0.1612005874644e-05, 0.1473255041006e+01, 0.5486777812467e+01,
203       0.1818630667105e-05, 0.3743903293447e+00, 0.6283008715021e+01,
204       0.1818601377529e-05, 0.6274174354554e+01, 0.6283142985870e+01,
205       0.1554475925257e-05, 0.1624110906816e+01, 0.2513230340178e+02,
206       0.2090948029241e-05, 0.5852052276256e+01, 0.1179062909082e+02,
207       0.2000176345460e-05, 0.4072093298513e+01, 0.1778984560711e+02,
208       0.1289535917759e-05, 0.5217019331069e+01, 0.7079373888424e+01,
209       0.1281135307881e-05, 0.4802054538934e+01, 0.3738761453707e+01,
210       0.1518229005692e-05, 0.8691914742502e+00, 0.2132990797783e+00,
211 
212       0.9450128579027e-06, 0.4601859529950e+01, 0.1097707878456e+02,
213       0.7781119494996e-06, 0.1844352816694e+01, 0.8827390247185e+01,
214       0.7733407759912e-06, 0.3582790154750e+01, 0.5507553240374e+01,
215       0.7350644318120e-06, 0.2695277788230e+01, 0.1589072916335e+01,
216       0.6535928827023e-06, 0.3651327986142e+01, 0.1176985366291e+02,
217       0.6324624183656e-06, 0.2241302375862e+01, 0.6262300422539e+01,
218       0.6298565300557e-06, 0.4407122406081e+01, 0.6303851278352e+01,
219       0.8587037089179e-06, 0.3024307223119e+01, 0.1672837615881e+03,
220       0.8299954491035e-06, 0.6192539428237e+01, 0.3340612434717e+01,
221       0.6311263503401e-06, 0.2014758795416e+01, 0.7113454667900e-02,
222 
223       0.6005646745452e-06, 0.3399500503397e+01, 0.4136910472696e+01,
224       0.7917715109929e-06, 0.2493386877837e+01, 0.6069776770667e+01,
225       0.7556958099685e-06, 0.4159491740143e+01, 0.6496374930224e+01,
226       0.6773228244949e-06, 0.4034162934230e+01, 0.9437762937313e+01,
227       0.5370708577847e-06, 0.1562219163734e+01, 0.1194447056968e+01,
228       0.5710804266203e-06, 0.2662730803386e+01, 0.6282095334605e+01,
229       0.5709824583726e-06, 0.3985828430833e+01, 0.6284056366286e+01,
230       0.5143950896447e-06, 0.1308144688689e+01, 0.6290189305114e+01,
231       0.5088010604546e-06, 0.5352817214804e+01, 0.6275962395778e+01,
232       0.4960369085172e-06, 0.2644267922349e+01, 0.6127655567643e+01,
233 
234       0.4803137891183e-06, 0.4008844192080e+01, 0.6438496133249e+01,
235       0.5731747768225e-06, 0.3794550174597e+01, 0.3154687086868e+01,
236       0.4735947960579e-06, 0.6107118308982e+01, 0.3128388763578e+01,
237       0.4808348796625e-06, 0.4771458618163e+01, 0.8018209333619e+00,
238       0.4115073743137e-06, 0.3327111335159e+01, 0.8429241228195e+01,
239       0.5230575889287e-06, 0.5305708551694e+01, 0.1336797263425e+02,
240       0.5133977889215e-06, 0.5784230738814e+01, 0.1235285262111e+02,
241       0.5065815825327e-06, 0.2052064793679e+01, 0.1185621865188e+02,
242       0.4339831593868e-06, 0.3644994195830e+01, 0.1726015463500e+02,
243       0.3952928638953e-06, 0.4930376436758e+01, 0.5481254917084e+01,
244 
245       0.4898498111942e-06, 0.4542084219731e+00, 0.9225539266174e+01,
246       0.4757490209328e-06, 0.3161126388878e+01, 0.5856477690889e+01,
247       0.4727701669749e-06, 0.6214993845446e+00, 0.2544314396739e+01,
248       0.3800966681863e-06, 0.3040132339297e+01, 0.4265981595566e+00,
249       0.3257301077939e-06, 0.8064977360087e+00, 0.3930209696940e+01,
250       0.3255810528674e-06, 0.1974147981034e+01, 0.2146165377750e+01,
251       0.3252029748187e-06, 0.2845924913135e+01, 0.4164311961999e+01,
252       0.3255505635308e-06, 0.3017900824120e+01, 0.5088628793478e+01,
253       0.2801345211990e-06, 0.6109717793179e+01, 0.1256967486051e+02,
254       0.3688987740970e-06, 0.2911550235289e+01, 0.1807370494127e+02,
255 
256       0.2475153429458e-06, 0.2179146025856e+01, 0.2629832328990e-01,
257       0.3033457749150e-06, 0.1994161050744e+01, 0.4535059491685e+01,
258       0.2186743763110e-06, 0.5125687237936e+01, 0.1137170464392e+02,
259       0.2764777032774e-06, 0.4822646860252e+00, 0.1256262854127e+02,
260       0.2199028768592e-06, 0.4637633293831e+01, 0.1255903824622e+02,
261       0.2046482824760e-06, 0.1467038733093e+01, 0.7084896783808e+01,
262       0.2611209147507e-06, 0.3044718783485e+00, 0.7143069561767e+02,
263       0.2286079656818e-06, 0.4764220356805e+01, 0.8031092209206e+01,
264       0.1855071202587e-06, 0.3383637774428e+01, 0.1748016358760e+01,
265       0.2324669506784e-06, 0.6189088449251e+01, 0.1831953657923e+02,
266 
267       0.1709528015688e-06, 0.5874966729774e+00, 0.4933208510675e+01,
268       0.2168156875828e-06, 0.4302994009132e+01, 0.1044738781244e+02,
269       0.2106675556535e-06, 0.3800475419891e+01, 0.7477522907414e+01,
270       0.1430213830465e-06, 0.1294660846502e+01, 0.2942463415728e+01,
271       0.1388396901944e-06, 0.4594797202114e+01, 0.8635942003952e+01,
272       0.1922258844190e-06, 0.4943044543591e+00, 0.1729818233119e+02,
273       0.1888460058292e-06, 0.2426943912028e+01, 0.1561374759853e+03,
274       0.1789449386107e-06, 0.1582973303499e+00, 0.1592596075957e+01,
275       0.1360803685374e-06, 0.5197240440504e+01, 0.1309584267300e+02,
276       0.1504038014709e-06, 0.3120360916217e+01, 0.1649636139783e+02,
277 
278       0.1382769533389e-06, 0.6164702888205e+01, 0.7632943190217e+01,
279       0.1438059769079e-06, 0.1437423770979e+01, 0.2042657109477e+02,
280       0.1326303260037e-06, 0.3609688799679e+01, 0.1213955354133e+02,
281       0.1159244950540e-06, 0.5463018167225e+01, 0.5331357529664e+01,
282       0.1433118149136e-06, 0.6028909912097e+01, 0.7342457794669e+01,
283       0.1234623148594e-06, 0.3109645574997e+01, 0.6279485555400e+01,
284       0.1233949875344e-06, 0.3539359332866e+01, 0.6286666145492e+01,
285       0.9927196061299e-07, 0.1259321569772e+01, 0.7234794171227e+01,
286       0.1242302191316e-06, 0.1065949392609e+01, 0.1511046609763e+02,
287       0.1098402195201e-06, 0.2192508743837e+01, 0.1098880815746e+02,
288 
289       0.1158191395315e-06, 0.4054411278650e+01, 0.5729506548653e+01,
290       0.9048475596241e-07, 0.5429764748518e+01, 0.9623688285163e+01,
291       0.8889853269023e-07, 0.5046586206575e+01, 0.6148010737701e+01,
292       0.1048694242164e-06, 0.2628858030806e+01, 0.6836645152238e+01,
293       0.1112308378646e-06, 0.4177292719907e+01, 0.1572083878776e+02,
294       0.8631729709901e-07, 0.1601345232557e+01, 0.6418140963190e+01,
295       0.8527816951664e-07, 0.2463888997513e+01, 0.1471231707864e+02,
296       0.7892139456991e-07, 0.3154022088718e+01, 0.2118763888447e+01,
297       0.1051782905236e-06, 0.4795035816088e+01, 0.1349867339771e+01,
298       0.1048219943164e-06, 0.2952983395230e+01, 0.5999216516294e+01,
299 
300       0.7435760775143e-07, 0.5420547991464e+01, 0.6040347114260e+01,
301       0.9869574106949e-07, 0.3695646753667e+01, 0.6566935184597e+01,
302       0.9156886364226e-07, 0.3922675306609e+01, 0.5643178611111e+01,
303       0.7006834356188e-07, 0.1233968624861e+01, 0.6525804586632e+01,
304       0.9806170182601e-07, 0.1919542280684e+01, 0.2122839202813e+02,
305       0.9052289673607e-07, 0.4615902724369e+01, 0.4690479774488e+01,
306       0.7554200867893e-07, 0.1236863719072e+01, 0.1253985337760e+02,
307       0.8215741286498e-07, 0.3286800101559e+00, 0.1097355562493e+02,
308       0.7185178575397e-07, 0.5880942158367e+01, 0.6245048154254e+01,
309       0.7130726476180e-07, 0.7674871987661e+00, 0.6321103546637e+01,
310 
311       0.6650894461162e-07, 0.6987129150116e+00, 0.5327476111629e+01,
312       0.7396888823688e-07, 0.3576824794443e+01, 0.5368044267797e+00,
313       0.7420588884775e-07, 0.5033615245369e+01, 0.2354323048545e+02,
314       0.6141181642908e-07, 0.9449927045673e+00, 0.1296430071988e+02,
315       0.6373557924058e-07, 0.6206342280341e+01, 0.9517183207817e+00,
316       0.6359474329261e-07, 0.5036079095757e+01, 0.1990745094947e+01,
317       0.5740173582646e-07, 0.6105106371350e+01, 0.9555997388169e+00,
318       0.7019864084602e-07, 0.7237747359018e+00, 0.5225775174439e+00,
319       0.6398054487042e-07, 0.3976367969666e+01, 0.2407292145756e+02,
320       0.7797092650498e-07, 0.4305423910623e+01, 0.2200391463820e+02,
321 
322       0.6466760000900e-07, 0.3500136825200e+01, 0.5230807360890e+01,
323       0.7529417043890e-07, 0.3514779246100e+01, 0.1842262939178e+02,
324       0.6924571140892e-07, 0.2743457928679e+01, 0.1554202828031e+00,
325       0.6220798650222e-07, 0.2242598118209e+01, 0.1845107853235e+02,
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333       0.6484841818165e-07, 0.1992812417646e+01, 0.1030928125552e+00,
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344       0.5673725607806e-07, 0.4331187919049e+01, 0.6915859635113e+01,
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366       0.4024004081854e-07, 0.1195257375713e+01, 0.1334167431096e+02,
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377       0.2535824204490e-07, 0.1581594689647e+01, 0.3141537925223e+02,
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388       0.3038583699229e-07, 0.3312487903507e+00, 0.1256608456547e+02,
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399       0.2130923288870e-07, 0.4641013671967e+01, 0.5746271423666e+01,
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410       0.1869937408802e-07, 0.5272745038656e+01, 0.2427287361862e+00,
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420 
421       0.1561690152531e-07, 0.5943349620372e+01, 0.6272439236156e+01,
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431 
432       0.1374339536251e-07, 0.5745688172201e+01, 0.6016468784579e+01,
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443       0.1682333169307e-07, 0.5409870870133e+01, 0.1620077269078e+02,
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447       0.1252138953050e-07, 0.1411642012027e+01, 0.6993008899458e+01,
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450       0.1388446457170e-07, 0.4969428135497e+01, 0.2458316379602e+00,
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453 
454       0.1297768238261e-07, 0.1074509953328e+01, 0.1249137003520e+02,
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465       0.9612858712203e-08, 0.7885682917381e+00, 0.6306954180126e+01,
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475 
476       0.8697373859631e-08, 0.4411341856037e+01, 0.9491756770005e+00,
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485       0.9821910122027e-08, 0.2360246287233e+00, 0.1140367694411e+02,
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487       0.9897822023777e-08, 0.4619805634280e+01, 0.2280573557157e+02,
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491       0.7319785780946e-08, 0.5359869567774e+01, 0.6283496108294e+01,
492       0.7147219933778e-08, 0.5516616675856e+01, 0.1725663147538e+02,
493       0.7946502829878e-08, 0.2630459984567e+01, 0.1241073141809e+02,
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495       0.8994041507257e-08, 0.3795244450750e+01, 0.6284560021018e+01,
496       0.8298582787358e-08, 0.5236413127363e+00, 0.1241658836951e+02,
497 
498       0.8526596520710e-08, 0.4794605424426e+01, 0.1098419223922e+02,
499       0.8209822103197e-08, 0.1578752370328e+01, 0.1096996532989e+02,
500       0.6357049861094e-08, 0.5708926113761e+01, 0.1596186371003e+01,
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503       0.6328765494903e-08, 0.1313930030069e+01, 0.1193336791622e+02,
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506       0.7051897446325e-08, 0.3285859929993e+01, 0.5849364236221e+01,
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508 
509       0.7754683957278e-08, 0.1586118663096e+01, 0.8662240327241e+01,
510       0.5889928990701e-08, 0.1304887868803e+01, 0.1232342296471e+02,
511       0.5705756047075e-08, 0.4555333589350e+01, 0.1258692712880e+02,
512       0.5964178808332e-08, 0.3001762842062e+01, 0.5333900173445e+01,
513       0.6712446027467e-08, 0.4886780007595e+01, 0.1171295538178e+02,
514       0.5941809275464e-08, 0.4701509603824e+01, 0.9779108567966e+01,
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516       0.6340512090980e-08, 0.1164543038893e+01, 0.5217580628120e+02,
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518       0.6164789509685e-08, 0.2143828253542e+01, 0.6151533897323e+01,
519 
520       0.5263330812430e-08, 0.6066564434241e+01, 0.1885275071096e+02,
521       0.5597087780221e-08, 0.2926316429472e+01, 0.4337116142245e+00,
522       0.5396556236817e-08, 0.3244303591505e+01, 0.6286362197481e+01,
523       0.5396615148223e-08, 0.3404304703662e+01, 0.6279789503410e+01,
524       0.7091832443341e-08, 0.8532377803192e+00, 0.4907302013889e+01,
525       0.6572352589782e-08, 0.4901966774419e+01, 0.1176433076753e+02,
526       0.5960236060795e-08, 0.1874672315797e+01, 0.1422690933580e-01,
527       0.5125480043511e-08, 0.3735726064334e+01, 0.1245594543367e+02,
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529       0.5249600357424e-08, 0.4372334799878e+01, 0.1151388321134e+02,
530 
531       0.6059171276087e-08, 0.2581617302908e+01, 0.6062663316000e+01,
532       0.5295235081662e-08, 0.2974811513158e+01, 0.3496032717521e+01,
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534       0.4754696606440e-08, 0.1981998136973e+01, 0.3104930017775e+01,
535       0.6385053548955e-08, 0.2559174171605e+00, 0.6133512519065e+01,
536       0.6589828273941e-08, 0.2750967106776e+01, 0.4087944051283e+02,
537       0.5383376567189e-08, 0.6325947523578e+00, 0.2248384854122e+02,
538       0.5928941683538e-08, 0.1672304519067e+01, 0.1581959461667e+01,
539       0.4816060709794e-08, 0.3512566172575e+01, 0.9388005868221e+01,
540       0.6003381586512e-08, 0.5610932219189e+01, 0.5326786718777e+01,
541 
542       0.5504225393105e-08, 0.4037501131256e+01, 0.6503488384892e+01,
543       0.5353772620129e-08, 0.6122774968240e+01, 0.1735668374386e+03,
544       0.5786253768544e-08, 0.5527984999515e+01, 0.1350651127443e+00,
545       0.5065706702002e-08, 0.9980765573624e+00, 0.1248988586463e+02,
546       0.5972838885276e-08, 0.6044489493203e+01, 0.2673594526851e+02,
547       0.5323585877961e-08, 0.3924265998147e+01, 0.4171425416666e+01,
548       0.5210772682858e-08, 0.6220111376901e+01, 0.2460261242967e+02,
549       0.4726549040535e-08, 0.3716043206862e+01, 0.7232251527446e+01,
550       0.6029425105059e-08, 0.8548704071116e+00, 0.3227113045244e+03,
551       0.4481542826513e-08, 0.1426925072829e+01, 0.5547199253223e+01,
552 
553       0.5836024505068e-08, 0.7135651752625e-01, 0.7285056171570e+02,
554       0.4137046613272e-08, 0.5330767643283e+01, 0.1087398597200e+02,
555       0.5171977473924e-08, 0.4494262335353e+00, 0.1884570439172e+02,
556       0.5694429833732e-08, 0.2952369582215e+01, 0.9723862754494e+02,
557       0.4009158925298e-08, 0.3500003416535e+01, 0.6244942932314e+01,
558       0.4784939596873e-08, 0.6196709413181e+01, 0.2929661536378e+02,
559       0.3983725022610e-08, 0.5103690031897e+01, 0.4274518229222e+01,
560       0.3870535232462e-08, 0.3187569587401e+01, 0.6321208768577e+01,
561       0.5140501213951e-08, 0.1668924357457e+01, 0.1232032006293e+02,
562       0.3849034819355e-08, 0.4445722510309e+01, 0.1726726808967e+02,
563 
564       0.4002383075060e-08, 0.5226224152423e+01, 0.7018952447668e+01,
565       0.3890719543549e-08, 0.4371166550274e+01, 0.1491901785440e+02,
566       0.4887084607881e-08, 0.5973556689693e+01, 0.1478866649112e+01,
567       0.3739939287592e-08, 0.2089084714600e+01, 0.6922973089781e+01,
568       0.5031925918209e-08, 0.4658371936827e+01, 0.1715706182245e+02,
569       0.4387748764954e-08, 0.4825580552819e+01, 0.2331413144044e+03,
570       0.4147398098865e-08, 0.3739003524998e+01, 0.1376059875786e+02,
571       0.3719089993586e-08, 0.1148941386536e+01, 0.6297302759782e+01,
572       0.3934238461056e-08, 0.1559893008343e+01, 0.7872148766781e+01,
573       0.3672471375622e-08, 0.5516145383612e+01, 0.6268848941110e+01,
574 
575       0.3768911277583e-08, 0.6116053700563e+01, 0.4157198507331e+01,
576       0.4033388417295e-08, 0.5076821746017e+01, 0.1567108171867e+02,
577       0.3764194617832e-08, 0.8164676232075e+00, 0.3185192151914e+01,
578       0.4840628226284e-08, 0.1360479453671e+01, 0.1252801878276e+02,
579       0.4949443923785e-08, 0.2725622229926e+01, 0.1617106187867e+03,
580       0.4117393089971e-08, 0.6054459628492e+00, 0.5642198095270e+01,
581       0.3925754020428e-08, 0.8570462135210e+00, 0.2139354194808e+02,
582       0.3630551757923e-08, 0.3552067338279e+01, 0.6294805223347e+01,
583       0.3627274802357e-08, 0.3096565085313e+01, 0.6271346477544e+01,
584       0.3806143885093e-08, 0.6367751709777e+00, 0.1725304118033e+02,
585 
586       0.4433254641565e-08, 0.4848461503937e+01, 0.7445550607224e+01,
587       0.3712319846576e-08, 0.1331950643655e+01, 0.4194847048887e+00,
588       0.3849847534783e-08, 0.4958368297746e+00, 0.9562891316684e+00,
589       0.3483955430165e-08, 0.2237215515707e+01, 0.1161697602389e+02,
590       0.3961912730982e-08, 0.3332402188575e+01, 0.2277943724828e+02,
591       0.3419978244481e-08, 0.5785600576016e+01, 0.1362553364512e+02,
592       0.3329417758177e-08, 0.9812676559709e-01, 0.1685848245639e+02,
593       0.4207206893193e-08, 0.9494780468236e+00, 0.2986433403208e+02,
594       0.3268548976410e-08, 0.1739332095686e+00, 0.5749861718712e+01,
595       0.3321880082685e-08, 0.1423354800666e+01, 0.6279143387820e+01,
596 
597       0.4503173010852e-08, 0.2314972675293e+00, 0.1385561574497e+01,
598       0.4316599090954e-08, 0.1012646782616e+00, 0.4176041334900e+01,
599       0.3283493323850e-08, 0.5233306881265e+01, 0.6287008313071e+01,
600       0.3164033542343e-08, 0.4005597257511e+01, 0.2099539292909e+02,
601       0.4159720956725e-08, 0.5365676242020e+01, 0.5905702259363e+01,
602       0.3565176892217e-08, 0.4284440620612e+01, 0.3932462625300e-02,
603       0.3514440950221e-08, 0.4270562636575e+01, 0.7335344340001e+01,
604       0.3540596871909e-08, 0.5953553201060e+01, 0.1234573916645e+02,
605       0.2960769905118e-08, 0.1115180417718e+01, 0.2670964694522e+02,
606       0.2962213739684e-08, 0.3863811918186e+01, 0.6408777551755e+00,
607 
608       0.3883556700251e-08, 0.1268617928302e+01, 0.6660449441528e+01,
609       0.2919225516346e-08, 0.4908605223265e+01, 0.1375773836557e+01,
610       0.3115158863370e-08, 0.3744519976885e+01, 0.3802769619140e-01,
611       0.4099438144212e-08, 0.4173244670532e+01, 0.4480965020977e+02,
612       0.2899531858964e-08, 0.5910601428850e+01, 0.2059724391010e+02,
613       0.3289733429855e-08, 0.2488050078239e+01, 0.1081813534213e+02,
614       0.3933075612875e-08, 0.1122363652883e+01, 0.3773735910827e+00,
615       0.3021403764467e-08, 0.4951973724904e+01, 0.2982630633589e+02,
616       0.2798598949757e-08, 0.5117057845513e+01, 0.1937891852345e+02,
617       0.3397421302707e-08, 0.6104159180476e+01, 0.6923953605621e+01,
618 
619       0.3720398002179e-08, 0.1184933429829e+01, 0.3066615496545e+02,
620       0.3598484186267e-08, 0.3505282086105e+01, 0.6147450479709e+01,
621       0.3694594027310e-08, 0.2286651088141e+01, 0.2636725487657e+01,
622       0.2680444152969e-08, 0.1871816775482e+00, 0.6816289982179e+01,
623       0.3497574865641e-08, 0.3143251755431e+01, 0.6418701221183e+01,
624       0.3130274129494e-08, 0.2462167316018e+01, 0.1235996607578e+02,
625       0.3241119069551e-08, 0.4256374004686e+01, 0.1652265972112e+02,
626       0.2601960842061e-08, 0.4970362941425e+01, 0.1045450126711e+02,
627       0.2690601527504e-08, 0.2372657824898e+01, 0.3163918923335e+00,
628       0.2908688152664e-08, 0.4232652627721e+01, 0.2828699048865e+02,
629 
630       0.3120456131875e-08, 0.3925747001137e+00, 0.2195415756911e+02,
631       0.3148855423384e-08, 0.3093478330445e+01, 0.1172006883645e+02,
632       0.3051044261017e-08, 0.5560948248212e+01, 0.6055599646783e+01,
633       0.2826006876660e-08, 0.5072790310072e+01, 0.5120601093667e+01,
634       0.3100034191711e-08, 0.4998530231096e+01, 0.1799603123222e+02,
635       0.2398771640101e-08, 0.2561739802176e+01, 0.6255674361143e+01,
636       0.2384002842728e-08, 0.4087420284111e+01, 0.6310477339748e+01,
637       0.2842146517568e-08, 0.2515048217955e+01, 0.5469525544182e+01,
638       0.2847674371340e-08, 0.5235326497443e+01, 0.1034429499989e+02,
639       0.2903722140764e-08, 0.1088200795797e+01, 0.6510552054109e+01,
640 
641       0.3187610710605e-08, 0.4710624424816e+01, 0.1693792562116e+03,
642       0.3048869992813e-08, 0.2857975896445e+00, 0.8390110365991e+01,
643       0.2860216950984e-08, 0.2241619020815e+01, 0.2243449970715e+00,
644       0.2701117683113e-08, 0.6651573305272e-01, 0.6129297044991e+01,
645       0.2509891590152e-08, 0.1285135324585e+01, 0.1044027435778e+02,
646       0.2623200252223e-08, 0.2981229834530e+00, 0.6436854655901e+01,
647       0.2622541669202e-08, 0.6122470726189e+01, 0.9380959548977e+01,
648       0.2818435667099e-08, 0.4251087148947e+01, 0.5934151399930e+01,
649       0.2365196797465e-08, 0.3465070460790e+01, 0.2470570524223e+02,
650       0.2358704646143e-08, 0.5791603815350e+01, 0.8671969964381e+01,
651 
652       0.2388299481390e-08, 0.4142483772941e+01, 0.7096626156709e+01,
653       0.1996041217224e-08, 0.2101901889496e+01, 0.1727188400790e+02,
654       0.2687593060336e-08, 0.1526689456959e+01, 0.7075506709219e+02,
655       0.2618913670810e-08, 0.2397684236095e+01, 0.6632000300961e+01,
656       0.2571523050364e-08, 0.5751929456787e+00, 0.6206810014183e+01,
657       0.2582135006946e-08, 0.5595464352926e+01, 0.4873985990671e+02,
658       0.2372530190361e-08, 0.5092689490655e+01, 0.1590676413561e+02,
659       0.2357178484712e-08, 0.4444363527851e+01, 0.3097883698531e+01,
660       0.2451590394723e-08, 0.3108251687661e+01, 0.6612329252343e+00,
661       0.2370045949608e-08, 0.2608133861079e+01, 0.3459636466239e+02,
662 
663       0.2268997267358e-08, 0.3639717753384e+01, 0.2844914056730e-01,
664       0.1731432137906e-08, 0.1741898445707e+00, 0.2019909489111e+02,
665       0.1629869741622e-08, 0.3902225646724e+01, 0.3035599730800e+02,
666       0.2206215801974e-08, 0.4971131250731e+01, 0.6281667977667e+01,
667       0.2205469554680e-08, 0.1677462357110e+01, 0.6284483723224e+01,
668       0.2148792362509e-08, 0.4236259604006e+01, 0.1980482729015e+02,
669       0.1873733657847e-08, 0.5926814998687e+01, 0.2876692439167e+02,
670       0.2026573758959e-08, 0.4349643351962e+01, 0.2449240616245e+02,
671       0.1807770325110e-08, 0.5700940482701e+01, 0.2045286941806e+02,
672       0.1881174408581e-08, 0.6601286363430e+00, 0.2358125818164e+02,
673 
674       0.1368023671690e-08, 0.2211098592752e+01, 0.2473415438279e+02,
675       0.1720017916280e-08, 0.4942488551129e+01, 0.1679593901136e+03,
676       0.1702427665131e-08, 0.1452233856386e+01, 0.3338575901272e+03,
677       0.1414032510054e-08, 0.5525357721439e+01, 0.1624205518357e+03,
678       0.1652626045364e-08, 0.4108794283624e+01, 0.8956999012000e+02,
679       0.1642957769686e-08, 0.7344335209984e+00, 0.5267006960365e+02,
680       0.1614952403624e-08, 0.3541213951363e+01, 0.3332657872986e+02,
681       0.1535988291188e-08, 0.4031094072151e+01, 0.3852657435933e+02,
682       0.1593193738177e-08, 0.4185136203609e+01, 0.2282781046519e+03,
683       0.1074569126382e-08, 0.1720485636868e+01, 0.8397383534231e+02,
684 
685       0.1074408214509e-08, 0.2758613420318e+01, 0.8401985929482e+02,
686       0.9700199670465e-09, 0.4216686842097e+01, 0.7826370942180e+02,
687       0.1258433517061e-08, 0.2575068876639e+00, 0.3115650189215e+03,
688       0.1240303229539e-08, 0.4800844956756e+00, 0.1784300471910e+03,
689       0.9018345948127e-09, 0.3896756361552e+00, 0.5886454391678e+02,
690       0.1135301432805e-08, 0.3700805023550e+00, 0.7842370451713e+02,
691       0.9215887951370e-09, 0.4364579276638e+01, 0.1014262087719e+03,
692       0.1055401054147e-08, 0.2156564222111e+01, 0.5660027930059e+02,
693       0.1008725979831e-08, 0.5454015785234e+01, 0.4245678405627e+02,
694       0.7217398104321e-09, 0.1597772562175e+01, 0.2457074661053e+03,
695 
696       0.6912033134447e-09, 0.5824090621461e+01, 0.1679936946371e+03,
697       0.6833881523549e-09, 0.3578778482835e+01, 0.6053048899753e+02,
698       0.4887304205142e-09, 0.3724362812423e+01, 0.9656299901946e+02,
699       0.5173709754788e-09, 0.5422427507933e+01, 0.2442876000072e+03,
700       0.4671353097145e-09, 0.2396106924439e+01, 0.1435713242844e+03,
701       0.5652608439480e-09, 0.2804028838685e+01, 0.8365903305582e+02,
702       0.5604061331253e-09, 0.1638816006247e+01, 0.8433466158131e+02,
703       0.4712723365400e-09, 0.8979003224474e+00, 0.3164282286739e+03,
704       0.4909967465112e-09, 0.3210426725516e+01, 0.4059982187939e+03,
705       0.4771358267658e-09, 0.5308027211629e+01, 0.1805255418145e+03,
706 
707       0.3943451445989e-09, 0.2195145341074e+01, 0.2568537517081e+03,
708       0.3952109120244e-09, 0.5081189491586e+01, 0.2449975330562e+03,
709       0.3788134594789e-09, 0.4345171264441e+01, 0.1568131045107e+03,
710       0.3738330190479e-09, 0.2613062847997e+01, 0.3948519331910e+03,
711       0.3099866678136e-09, 0.2846760817689e+01, 0.1547176098872e+03,
712       0.2002962716768e-09, 0.4921360989412e+01, 0.2268582385539e+03,
713       0.2198291338754e-09, 0.1130360117454e+00, 0.1658638954901e+03,
714       0.1491958330784e-09, 0.4228195232278e+01, 0.2219950288015e+03,
715       0.1475384076173e-09, 0.3005721811604e+00, 0.3052819430710e+03,
716       0.1661626624624e-09, 0.7830125621203e+00, 0.2526661704812e+03,
717 
718       0.9015823460025e-10, 0.3807792942715e+01, 0.4171445043968e+03 };
719 
720 /* Sun-to-Earth, T^0, Y */
721    static const double e0y[] = {
722       0.9998921098898e+00, 0.1826583913846e+00, 0.6283075850446e+01,
723      -0.2442700893735e-01, 0.0000000000000e+00, 0.0000000000000e+00,
724       0.8352929742915e-02, 0.1395277998680e+00, 0.1256615170089e+02,
725       0.1046697300177e-03, 0.9641423109763e-01, 0.1884922755134e+02,
726       0.3110841876663e-04, 0.5381140401712e+01, 0.8399684731857e+02,
727       0.2570269094593e-04, 0.5301016407128e+01, 0.5296909721118e+00,
728       0.2147389623610e-04, 0.2662510869850e+01, 0.1577343543434e+01,
729       0.1680344384050e-04, 0.5207904119704e+01, 0.6279552690824e+01,
730       0.1679117312193e-04, 0.4582187486968e+01, 0.6286599010068e+01,
731       0.1440512068440e-04, 0.1900688517726e+01, 0.2352866153506e+01,
732 
733       0.1135139664999e-04, 0.5273108538556e+01, 0.5223693906222e+01,
734       0.9345482571018e-05, 0.4503047687738e+01, 0.1203646072878e+02,
735       0.9007418719568e-05, 0.1605621059637e+01, 0.1021328554739e+02,
736       0.5671536712314e-05, 0.5812849070861e+00, 0.1059381944224e+01,
737       0.7451401861666e-05, 0.2807346794836e+01, 0.3981490189893e+00,
738       0.6393470057114e-05, 0.6029224133855e+01, 0.5753384878334e+01,
739       0.6814275881697e-05, 0.6472990145974e+00, 0.4705732307012e+01,
740       0.6113705628887e-05, 0.3813843419700e+01, 0.6812766822558e+01,
741       0.4503851367273e-05, 0.4527804370996e+01, 0.5884926831456e+01,
742       0.4522249141926e-05, 0.5991783029224e+01, 0.6256777527156e+01,
743 
744       0.4501794307018e-05, 0.3798703844397e+01, 0.6309374173736e+01,
745       0.5514927480180e-05, 0.3961257833388e+01, 0.5507553240374e+01,
746       0.4062862799995e-05, 0.5256247296369e+01, 0.6681224869435e+01,
747       0.5414900429712e-05, 0.5499032014097e+01, 0.7755226100720e+00,
748       0.5463153987424e-05, 0.6173092454097e+01, 0.1414349524433e+02,
749       0.5071611859329e-05, 0.2870244247651e+01, 0.7860419393880e+01,
750       0.2195112094455e-05, 0.2952338617201e+01, 0.1150676975667e+02,
751       0.2279139233919e-05, 0.5951775132933e+01, 0.7058598460518e+01,
752       0.2278386100876e-05, 0.4845456398785e+01, 0.4694002934110e+01,
753       0.2559088003308e-05, 0.6945321117311e+00, 0.1216800268190e+02,
754 
755       0.2561079286856e-05, 0.6167224608301e+01, 0.7099330490126e+00,
756       0.1792755796387e-05, 0.1400122509632e+01, 0.7962980379786e+00,
757       0.1818715656502e-05, 0.4703347611830e+01, 0.6283142985870e+01,
758       0.1818744924791e-05, 0.5086748900237e+01, 0.6283008715021e+01,
759       0.1554518791390e-05, 0.5331008042713e-01, 0.2513230340178e+02,
760       0.2063265737239e-05, 0.4283680484178e+01, 0.1179062909082e+02,
761       0.1497613520041e-05, 0.6074207826073e+01, 0.5486777812467e+01,
762       0.2000617940427e-05, 0.2501426281450e+01, 0.1778984560711e+02,
763       0.1289731195580e-05, 0.3646340599536e+01, 0.7079373888424e+01,
764       0.1282657998934e-05, 0.3232864804902e+01, 0.3738761453707e+01,
765 
766       0.1528915968658e-05, 0.5581433416669e+01, 0.2132990797783e+00,
767       0.1187304098432e-05, 0.5453576453694e+01, 0.9437762937313e+01,
768       0.7842782928118e-06, 0.2823953922273e+00, 0.8827390247185e+01,
769       0.7352892280868e-06, 0.1124369580175e+01, 0.1589072916335e+01,
770       0.6570189360797e-06, 0.2089154042840e+01, 0.1176985366291e+02,
771       0.6324967590410e-06, 0.6704855581230e+00, 0.6262300422539e+01,
772       0.6298289872283e-06, 0.2836414855840e+01, 0.6303851278352e+01,
773       0.6476686465855e-06, 0.4852433866467e+00, 0.7113454667900e-02,
774       0.8587034651234e-06, 0.1453511005668e+01, 0.1672837615881e+03,
775       0.8068948788113e-06, 0.9224087798609e+00, 0.6069776770667e+01,
776 
777       0.8353786011661e-06, 0.4631707184895e+01, 0.3340612434717e+01,
778       0.6009324532132e-06, 0.1829498827726e+01, 0.4136910472696e+01,
779       0.7558158559566e-06, 0.2588596800317e+01, 0.6496374930224e+01,
780       0.5809279504503e-06, 0.5516818853476e+00, 0.1097707878456e+02,
781       0.5374131950254e-06, 0.6275674734960e+01, 0.1194447056968e+01,
782       0.5711160507326e-06, 0.1091905956872e+01, 0.6282095334605e+01,
783       0.5710183170746e-06, 0.2415001635090e+01, 0.6284056366286e+01,
784       0.5144373590610e-06, 0.6020336443438e+01, 0.6290189305114e+01,
785       0.5103108927267e-06, 0.3775634564605e+01, 0.6275962395778e+01,
786       0.4960654697891e-06, 0.1073450946756e+01, 0.6127655567643e+01,
787 
788       0.4786385689280e-06, 0.2431178012310e+01, 0.6438496133249e+01,
789       0.6109911263665e-06, 0.5343356157914e+01, 0.3154687086868e+01,
790       0.4839898944024e-06, 0.5830833594047e-01, 0.8018209333619e+00,
791       0.4734822623919e-06, 0.4536080134821e+01, 0.3128388763578e+01,
792       0.4834741473290e-06, 0.2585090489754e+00, 0.7084896783808e+01,
793       0.5134858581156e-06, 0.4213317172603e+01, 0.1235285262111e+02,
794       0.5064004264978e-06, 0.4814418806478e+00, 0.1185621865188e+02,
795       0.3753476772761e-06, 0.1599953399788e+01, 0.8429241228195e+01,
796       0.4935264014283e-06, 0.2157417556873e+01, 0.2544314396739e+01,
797       0.3950929600897e-06, 0.3359394184254e+01, 0.5481254917084e+01,
798 
799       0.4895849789777e-06, 0.5165704376558e+01, 0.9225539266174e+01,
800       0.4215241688886e-06, 0.2065368800993e+01, 0.1726015463500e+02,
801       0.3796773731132e-06, 0.1468606346612e+01, 0.4265981595566e+00,
802       0.3114178142515e-06, 0.3615638079474e+01, 0.2146165377750e+01,
803       0.3260664220838e-06, 0.4417134922435e+01, 0.4164311961999e+01,
804       0.3976996123008e-06, 0.4700866883004e+01, 0.5856477690889e+01,
805       0.2801459672924e-06, 0.4538902060922e+01, 0.1256967486051e+02,
806       0.3638931868861e-06, 0.1334197991475e+01, 0.1807370494127e+02,
807       0.2487013269476e-06, 0.3749275558275e+01, 0.2629832328990e-01,
808       0.3034165481994e-06, 0.4236622030873e+00, 0.4535059491685e+01,
809 
810       0.2676278825586e-06, 0.5970848007811e+01, 0.3930209696940e+01,
811       0.2764903818918e-06, 0.5194636754501e+01, 0.1256262854127e+02,
812       0.2485149930507e-06, 0.1002434207846e+01, 0.5088628793478e+01,
813       0.2199305540941e-06, 0.3066773098403e+01, 0.1255903824622e+02,
814       0.2571106500435e-06, 0.7588312459063e+00, 0.1336797263425e+02,
815       0.2049751817158e-06, 0.3444977434856e+01, 0.1137170464392e+02,
816       0.2599707296297e-06, 0.1873128542205e+01, 0.7143069561767e+02,
817       0.1785018072217e-06, 0.5015891306615e+01, 0.1748016358760e+01,
818       0.2324833891115e-06, 0.4618271239730e+01, 0.1831953657923e+02,
819       0.1709711119545e-06, 0.5300003455669e+01, 0.4933208510675e+01,
820 
821       0.2107159351716e-06, 0.2229819815115e+01, 0.7477522907414e+01,
822       0.1750333080295e-06, 0.6161485880008e+01, 0.1044738781244e+02,
823       0.2000598210339e-06, 0.2967357299999e+01, 0.8031092209206e+01,
824       0.1380920248681e-06, 0.3027007923917e+01, 0.8635942003952e+01,
825       0.1412460470299e-06, 0.6037597163798e+01, 0.2942463415728e+01,
826       0.1888459803001e-06, 0.8561476243374e+00, 0.1561374759853e+03,
827       0.1788370542585e-06, 0.4869736290209e+01, 0.1592596075957e+01,
828       0.1360893296167e-06, 0.3626411886436e+01, 0.1309584267300e+02,
829       0.1506846530160e-06, 0.1550975377427e+01, 0.1649636139783e+02,
830       0.1800913376176e-06, 0.2075826033190e+01, 0.1729818233119e+02,
831 
832       0.1436261390649e-06, 0.6148876420255e+01, 0.2042657109477e+02,
833       0.1220227114151e-06, 0.4382583879906e+01, 0.7632943190217e+01,
834       0.1337883603592e-06, 0.2036644327361e+01, 0.1213955354133e+02,
835       0.1159326650738e-06, 0.3892276994687e+01, 0.5331357529664e+01,
836       0.1352853128569e-06, 0.1447950649744e+01, 0.1673046366289e+02,
837       0.1433408296083e-06, 0.4457854692961e+01, 0.7342457794669e+01,
838       0.1234701666518e-06, 0.1538818147151e+01, 0.6279485555400e+01,
839       0.1234027192007e-06, 0.1968523220760e+01, 0.6286666145492e+01,
840       0.1244024091797e-06, 0.5779803499985e+01, 0.1511046609763e+02,
841       0.1097934945516e-06, 0.6210975221388e+00, 0.1098880815746e+02,
842 
843       0.1254611329856e-06, 0.2591963807998e+01, 0.1572083878776e+02,
844       0.1158247286784e-06, 0.2483612812670e+01, 0.5729506548653e+01,
845       0.9039078252960e-07, 0.3857554579796e+01, 0.9623688285163e+01,
846       0.9108024978836e-07, 0.5826368512984e+01, 0.7234794171227e+01,
847       0.8887068108436e-07, 0.3475694573987e+01, 0.6148010737701e+01,
848       0.8632374035438e-07, 0.3059070488983e-01, 0.6418140963190e+01,
849       0.7893186992967e-07, 0.1583194837728e+01, 0.2118763888447e+01,
850       0.8297650201172e-07, 0.8519770534637e+00, 0.1471231707864e+02,
851       0.1019759578988e-06, 0.1319598738732e+00, 0.1349867339771e+01,
852       0.1010037696236e-06, 0.9937860115618e+00, 0.6836645152238e+01,
853 
854       0.1047727548266e-06, 0.1382138405399e+01, 0.5999216516294e+01,
855       0.7351993881086e-07, 0.3833397851735e+01, 0.6040347114260e+01,
856       0.9868771092341e-07, 0.2124913814390e+01, 0.6566935184597e+01,
857       0.7007321959390e-07, 0.5946305343763e+01, 0.6525804586632e+01,
858       0.6861411679709e-07, 0.4574654977089e+01, 0.7238675589263e+01,
859       0.7554519809614e-07, 0.5949232686844e+01, 0.1253985337760e+02,
860       0.9541880448335e-07, 0.3495242990564e+01, 0.2122839202813e+02,
861       0.7185606722155e-07, 0.4310113471661e+01, 0.6245048154254e+01,
862       0.7131360871710e-07, 0.5480309323650e+01, 0.6321103546637e+01,
863       0.6651142021039e-07, 0.5411097713654e+01, 0.5327476111629e+01,
864 
865       0.8538618213667e-07, 0.1827849973951e+01, 0.1101510648075e+02,
866       0.8634954288044e-07, 0.5443584943349e+01, 0.5643178611111e+01,
867       0.7449415051484e-07, 0.2011535459060e+01, 0.5368044267797e+00,
868       0.7421047599169e-07, 0.3464562529249e+01, 0.2354323048545e+02,
869       0.6140694354424e-07, 0.5657556228815e+01, 0.1296430071988e+02,
870       0.6353525143033e-07, 0.3463816593821e+01, 0.1990745094947e+01,
871       0.6221964013447e-07, 0.1532259498697e+01, 0.9517183207817e+00,
872       0.5852480257244e-07, 0.1375396598875e+01, 0.9555997388169e+00,
873       0.6398637498911e-07, 0.2405645801972e+01, 0.2407292145756e+02,
874       0.7039744069878e-07, 0.5397541799027e+01, 0.5225775174439e+00,
875 
876       0.6977997694382e-07, 0.4762347105419e+01, 0.1097355562493e+02,
877       0.7460629558396e-07, 0.2711944692164e+01, 0.2200391463820e+02,
878       0.5376577536101e-07, 0.2352980430239e+01, 0.1431416805965e+02,
879       0.7530607893556e-07, 0.1943940180699e+01, 0.1842262939178e+02,
880       0.6822928971605e-07, 0.4337651846959e+01, 0.1554202828031e+00,
881       0.6220772380094e-07, 0.6716871369278e+00, 0.1845107853235e+02,
882       0.6586950799043e-07, 0.2229714460505e+01, 0.5216580451554e+01,
883       0.5873800565771e-07, 0.7627013920580e+00, 0.6398972393349e+00,
884       0.6264346929745e-07, 0.6202785478961e+00, 0.6277552955062e+01,
885       0.6257929115669e-07, 0.2886775596668e+01, 0.6288598745829e+01,
886 
887       0.5343536033409e-07, 0.1977241012051e+01, 0.4690479774488e+01,
888       0.5587849781714e-07, 0.1922923484825e+01, 0.1551045220144e+01,
889       0.6905100845603e-07, 0.3570757164631e+01, 0.1030928125552e+00,
890       0.6178957066649e-07, 0.5197558947765e+01, 0.5230807360890e+01,
891       0.6187270224331e-07, 0.8193497368922e+00, 0.5650292065779e+01,
892       0.5385664291426e-07, 0.5406336665586e+01, 0.7771377146812e+02,
893       0.6329363917926e-07, 0.2837760654536e+01, 0.2608790314060e+02,
894       0.4546018761604e-07, 0.2933580297050e+01, 0.5535693017924e+00,
895       0.6196091049375e-07, 0.4157871494377e+01, 0.8467247584405e+02,
896       0.6159555108218e-07, 0.3211703561703e+01, 0.2394243902548e+03,
897 
898       0.4995340539317e-07, 0.1459098102922e+01, 0.4732030630302e+01,
899       0.5457031243572e-07, 0.1430457676136e+01, 0.6179983037890e+01,
900       0.4863461418397e-07, 0.2196425916730e+01, 0.9027992316901e+02,
901       0.5342947626870e-07, 0.2086612890268e+01, 0.6386168663001e+01,
902       0.5674296648439e-07, 0.2760204966535e+01, 0.6915859635113e+01,
903       0.4745783120161e-07, 0.4245368971862e+01, 0.6282970628506e+01,
904       0.4745676961198e-07, 0.5544725787016e+01, 0.6283181072386e+01,
905       0.4049796869973e-07, 0.2213984363586e+01, 0.6254626709878e+01,
906       0.4248333596940e-07, 0.8075781952896e+00, 0.7875671926403e+01,
907       0.4027178070205e-07, 0.1293268540378e+01, 0.6311524991013e+01,
908 
909       0.4066543943476e-07, 0.3986141175804e+01, 0.3634620989887e+01,
910       0.4858863787880e-07, 0.1276112738231e+01, 0.5760498333002e+01,
911       0.5277398263530e-07, 0.4916111741527e+01, 0.2515860172507e+02,
912       0.4105635656559e-07, 0.1725805864426e+01, 0.6709674010002e+01,
913       0.4376781925772e-07, 0.2243642442106e+01, 0.6805653367890e+01,
914       0.3235827894693e-07, 0.3614135118271e+01, 0.1066495398892e+01,
915       0.3073244740308e-07, 0.2460873393460e+01, 0.5863591145557e+01,
916       0.3088609271373e-07, 0.5678431771790e+01, 0.9917696840332e+01,
917       0.3393022279836e-07, 0.3814017477291e+01, 0.1391601904066e+02,
918       0.3038686508802e-07, 0.4660216229171e+01, 0.1256621883632e+02,
919 
920       0.4019677752497e-07, 0.5906906243735e+01, 0.1334167431096e+02,
921       0.3288834998232e-07, 0.9536146445882e+00, 0.1620077269078e+02,
922       0.3889973794631e-07, 0.3942205097644e+01, 0.7478166569050e-01,
923       0.3050438987141e-07, 0.1624810271286e+01, 0.1805292951336e+02,
924       0.3601142564638e-07, 0.4030467142575e+01, 0.6208294184755e+01,
925       0.3689015557141e-07, 0.3648878818694e+01, 0.5966683958112e+01,
926       0.3563471893565e-07, 0.5749584017096e+01, 0.6357857516136e+01,
927       0.2776183170667e-07, 0.2630124187070e+01, 0.3523159621801e-02,
928       0.2922350530341e-07, 0.1790346403629e+01, 0.1272157198369e+02,
929       0.3511076917302e-07, 0.6142198301611e+01, 0.6599467742779e+01,
930 
931       0.3619351007632e-07, 0.1432421386492e+01, 0.6019991944201e+01,
932       0.2561254711098e-07, 0.2302822475792e+01, 0.1259245002418e+02,
933       0.2626903942920e-07, 0.8660470994571e+00, 0.6702560555334e+01,
934       0.2550187397083e-07, 0.6069721995383e+01, 0.1057540660594e+02,
935       0.2535873526138e-07, 0.1079020331795e-01, 0.3141537925223e+02,
936       0.3519786153847e-07, 0.3809066902283e+01, 0.2505706758577e+03,
937       0.3424651492873e-07, 0.2075435114417e+01, 0.6546159756691e+01,
938       0.2372676630861e-07, 0.2057803120154e+01, 0.2388894113936e+01,
939       0.2710980779541e-07, 0.1510068488010e+01, 0.1202934727411e+02,
940       0.3038710889704e-07, 0.5043617528901e+01, 0.1256608456547e+02,
941 
942       0.2220364130585e-07, 0.3694793218205e+01, 0.1336244973887e+02,
943       0.3025880825460e-07, 0.5450618999049e-01, 0.2908881142201e+02,
944       0.2784493486864e-07, 0.3381164084502e+01, 0.1494531617769e+02,
945       0.2294414142438e-07, 0.4382309025210e+01, 0.6076890225335e+01,
946       0.2012723294724e-07, 0.9142212256518e+00, 0.6262720680387e+01,
947       0.2036357831958e-07, 0.5676172293154e+01, 0.4701116388778e+01,
948       0.2003474823288e-07, 0.2592767977625e+01, 0.6303431020504e+01,
949       0.2207144900109e-07, 0.5404976271180e+01, 0.6489261475556e+01,
950       0.2481664905135e-07, 0.4373284587027e+01, 0.1204357418345e+02,
951       0.2674949182295e-07, 0.5859182188482e+01, 0.4590910121555e+01,
952 
953       0.2450554720322e-07, 0.4555381557451e+01, 0.1495633313810e+00,
954       0.2601975986457e-07, 0.3933165584959e+01, 0.1965104848470e+02,
955       0.2199860022848e-07, 0.5227977189087e+01, 0.1351787002167e+02,
956       0.2448121172316e-07, 0.4858060353949e+01, 0.1162474756779e+01,
957       0.1876014864049e-07, 0.5690546553605e+01, 0.6279194432410e+01,
958       0.1874513219396e-07, 0.4099539297446e+01, 0.6286957268481e+01,
959       0.2156380842559e-07, 0.4382594769913e+00, 0.1813929450232e+02,
960       0.1981691240061e-07, 0.1829784152444e+01, 0.4686889479442e+01,
961       0.2329992648539e-07, 0.2836254278973e+01, 0.1002183730415e+02,
962       0.1765184135302e-07, 0.2803494925833e+01, 0.4292330755499e+01,
963 
964       0.2436368366085e-07, 0.2836897959677e+01, 0.9514313292143e+02,
965       0.2164089203889e-07, 0.6127522446024e+01, 0.6037244212485e+01,
966       0.1847755034221e-07, 0.3683163635008e+01, 0.2427287361862e+00,
967       0.1674798769966e-07, 0.3316993867246e+00, 0.1311972100268e+02,
968       0.2222542124356e-07, 0.8294097805480e+00, 0.1266924451345e+02,
969       0.2071074505925e-07, 0.3659492220261e+01, 0.6528907488406e+01,
970       0.1608224471835e-07, 0.4774492067182e+01, 0.1352175143971e+02,
971       0.1857583439071e-07, 0.2873120597682e+01, 0.8662240327241e+01,
972       0.1793018836159e-07, 0.5282441177929e+00, 0.6819880277225e+01,
973       0.1575391221692e-07, 0.1320789654258e+01, 0.1102062672231e+00,
974 
975       0.1840132009557e-07, 0.1917110916256e+01, 0.6514761976723e+02,
976       0.1760917288281e-07, 0.2972635937132e+01, 0.5746271423666e+01,
977       0.1561779518516e-07, 0.4372569261981e+01, 0.6272439236156e+01,
978       0.1558687885205e-07, 0.5416424926425e+01, 0.6293712464735e+01,
979       0.1951359382579e-07, 0.3094448898752e+01, 0.2301353951334e+02,
980       0.1569144275614e-07, 0.2802103689808e+01, 0.1765478049437e+02,
981       0.1479130389462e-07, 0.2136435020467e+01, 0.2077542790660e-01,
982       0.1467828510764e-07, 0.7072627435674e+00, 0.1052268489556e+01,
983       0.1627627337440e-07, 0.3947607143237e+01, 0.6327837846670e+00,
984       0.1503498479758e-07, 0.4079248909190e+01, 0.7626583626240e-01,
985 
986       0.1297967708237e-07, 0.6269637122840e+01, 0.1149965630200e+02,
987       0.1374416896634e-07, 0.4175657970702e+01, 0.6016468784579e+01,
988       0.1783812325219e-07, 0.1476540547560e+01, 0.3301902111895e+02,
989       0.1525884228756e-07, 0.4653477715241e+01, 0.9411464614024e+01,
990       0.1451067396763e-07, 0.2573001128225e+01, 0.1277945078067e+02,
991       0.1297713111950e-07, 0.5612799618771e+01, 0.6549682916313e+01,
992       0.1462784012820e-07, 0.4189661623870e+01, 0.1863592847156e+02,
993       0.1384185980007e-07, 0.2656915472196e+01, 0.2379164476796e+01,
994       0.1221497599801e-07, 0.5612515760138e+01, 0.1257326515556e+02,
995       0.1560574525896e-07, 0.4783414317919e+01, 0.1887552587463e+02,
996 
997       0.1544598372036e-07, 0.2694431138063e+01, 0.1820933031200e+02,
998       0.1531678928696e-07, 0.4105103489666e+01, 0.2593412433514e+02,
999       0.1349321503795e-07, 0.3082437194015e+00, 0.5120601093667e+01,
1000       0.1252030290917e-07, 0.6124072334087e+01, 0.6993008899458e+01,
1001       0.1459243816687e-07, 0.3733103981697e+01, 0.3813291813120e-01,
1002       0.1226103625262e-07, 0.1267127706817e+01, 0.2435678079171e+02,
1003       0.1019449641504e-07, 0.4367790112269e+01, 0.1725663147538e+02,
1004       0.1380789433607e-07, 0.3387201768700e+01, 0.2458316379602e+00,
1005       0.1019453421658e-07, 0.9204143073737e+00, 0.6112403035119e+01,
1006       0.1297929434405e-07, 0.5786874896426e+01, 0.1249137003520e+02,
1007 
1008       0.9912677786097e-08, 0.3164232870746e+01, 0.6247047890016e+01,
1009       0.9829386098599e-08, 0.2586762413351e+01, 0.6453748665772e+01,
1010       0.1226807746104e-07, 0.6239068436607e+01, 0.5429879531333e+01,
1011       0.1192691755997e-07, 0.1867380051424e+01, 0.6290122169689e+01,
1012       0.9836499227081e-08, 0.3424716293727e+00, 0.6319103810876e+01,
1013       0.9642862564285e-08, 0.5661372990657e+01, 0.8273820945392e+01,
1014       0.1165184404862e-07, 0.5768367239093e+01, 0.1778273215245e+02,
1015       0.1175794418818e-07, 0.1657351222943e+01, 0.6276029531202e+01,
1016       0.1018948635601e-07, 0.6458292350865e+00, 0.1254537627298e+02,
1017       0.9500383606676e-08, 0.1054306140741e+01, 0.1256517118505e+02,
1018 
1019       0.1227512202906e-07, 0.2505278379114e+01, 0.2248384854122e+02,
1020       0.9664792009993e-08, 0.4289737277000e+01, 0.6259197520765e+01,
1021       0.9613285666331e-08, 0.5500597673141e+01, 0.6306954180126e+01,
1022       0.1117906736211e-07, 0.2361405953468e+01, 0.1779695906178e+02,
1023       0.9611378640782e-08, 0.2851310576269e+01, 0.2061856251104e+00,
1024       0.8845354852370e-08, 0.6208777705343e+01, 0.1692165728891e+01,
1025       0.1054046966600e-07, 0.5413091423934e+01, 0.2204125344462e+00,
1026       0.1215539124483e-07, 0.5613969479755e+01, 0.8257698122054e+02,
1027       0.9932460955209e-08, 0.1106124877015e+01, 0.1017725758696e+02,
1028       0.8785804715043e-08, 0.2869224476477e+01, 0.9491756770005e+00,
1029 
1030       0.8538084097562e-08, 0.6159640899344e+01, 0.6393282117669e+01,
1031       0.8648994369529e-08, 0.1374901198784e+01, 0.4804209201333e+01,
1032       0.1039063219067e-07, 0.5171080641327e+01, 0.1550861511662e+02,
1033       0.8867983926439e-08, 0.8317320304902e+00, 0.3903911373650e+01,
1034       0.8327495955244e-08, 0.3605591969180e+01, 0.6172869583223e+01,
1035       0.9243088356133e-08, 0.6114299196843e+01, 0.6267823317922e+01,
1036       0.9205657357835e-08, 0.3675153683737e+01, 0.6298328382969e+01,
1037       0.1033269714606e-07, 0.3313328813024e+01, 0.5573142801433e+01,
1038       0.8001706275552e-08, 0.2019980960053e+01, 0.2648454860559e+01,
1039       0.9171858254191e-08, 0.8992015524177e+00, 0.1498544001348e+03,
1040 
1041       0.1075327150242e-07, 0.2898669963648e+01, 0.3694923081589e+02,
1042       0.9884866689828e-08, 0.4946715904478e+01, 0.1140367694411e+02,
1043       0.9541835576677e-08, 0.2371787888469e+01, 0.1256713221673e+02,
1044       0.7739903376237e-08, 0.2213775190612e+01, 0.7834121070590e+01,
1045       0.7311962684106e-08, 0.3429378787739e+01, 0.1192625446156e+02,
1046       0.9724904869624e-08, 0.6195878564404e+01, 0.2280573557157e+02,
1047       0.9251628983612e-08, 0.6511509527390e+00, 0.2787043132925e+01,
1048       0.7320763787842e-08, 0.6001083639421e+01, 0.6282655592598e+01,
1049       0.7320296650962e-08, 0.3789073265087e+01, 0.6283496108294e+01,
1050       0.7947032271039e-08, 0.1059659582204e+01, 0.1241073141809e+02,
1051 
1052       0.9005277053115e-08, 0.1280315624361e+01, 0.6281591679874e+01,
1053       0.8995601652048e-08, 0.2224439106766e+01, 0.6284560021018e+01,
1054       0.8288040568796e-08, 0.5234914433867e+01, 0.1241658836951e+02,
1055       0.6359381347255e-08, 0.4137989441490e+01, 0.1596186371003e+01,
1056       0.8699572228626e-08, 0.1758411009497e+01, 0.6133512519065e+01,
1057       0.6456797542736e-08, 0.5919285089994e+01, 0.1685848245639e+02,
1058       0.7424573475452e-08, 0.5414616938827e+01, 0.4061219149443e+01,
1059       0.7235671196168e-08, 0.1496516557134e+01, 0.1610006857377e+03,
1060       0.8104015182733e-08, 0.1919918242764e+01, 0.8460828644453e+00,
1061       0.8098576535937e-08, 0.3819615855458e+01, 0.3894181736510e+01,
1062 
1063       0.6275292346625e-08, 0.6244264115141e+01, 0.8531963191132e+00,
1064       0.6052432989112e-08, 0.5037731872610e+00, 0.1567108171867e+02,
1065       0.5705651535817e-08, 0.2984557271995e+01, 0.1258692712880e+02,
1066       0.5789650115138e-08, 0.6087038140697e+01, 0.1193336791622e+02,
1067       0.5512132153377e-08, 0.5855668994076e+01, 0.1232342296471e+02,
1068       0.7388890819102e-08, 0.2443128574740e+01, 0.4907302013889e+01,
1069       0.5467593991798e-08, 0.3017561234194e+01, 0.1884211409667e+02,
1070       0.6388519802999e-08, 0.5887386712935e+01, 0.5217580628120e+02,
1071       0.6106777149944e-08, 0.3483461059895e+00, 0.1422690933580e-01,
1072       0.7383420275489e-08, 0.5417387056707e+01, 0.2358125818164e+02,
1073 
1074       0.5505208141738e-08, 0.2848193644783e+01, 0.1151388321134e+02,
1075       0.6310757462877e-08, 0.2349882520828e+01, 0.1041998632314e+02,
1076       0.6166904929691e-08, 0.5728575944077e+00, 0.6151533897323e+01,
1077       0.5263442042754e-08, 0.4495796125937e+01, 0.1885275071096e+02,
1078       0.5591828082629e-08, 0.1355441967677e+01, 0.4337116142245e+00,
1079       0.5397051680497e-08, 0.1673422864307e+01, 0.6286362197481e+01,
1080       0.5396992745159e-08, 0.1833502206373e+01, 0.6279789503410e+01,
1081       0.6572913000726e-08, 0.3331122065824e+01, 0.1176433076753e+02,
1082       0.5123421866413e-08, 0.2165327142679e+01, 0.1245594543367e+02,
1083       0.5930495725999e-08, 0.2931146089284e+01, 0.6414617803568e+01,
1084 
1085       0.6431797403933e-08, 0.4134407994088e+01, 0.1350651127443e+00,
1086       0.5003182207604e-08, 0.3805420303749e+01, 0.1096996532989e+02,
1087       0.5587731032504e-08, 0.1082469260599e+01, 0.6062663316000e+01,
1088       0.5935263407816e-08, 0.8384333678401e+00, 0.5326786718777e+01,
1089       0.4756019827760e-08, 0.3552588749309e+01, 0.3104930017775e+01,
1090       0.6599951172637e-08, 0.4320826409528e+01, 0.4087944051283e+02,
1091       0.5902606868464e-08, 0.4811879454445e+01, 0.5849364236221e+01,
1092       0.5921147809031e-08, 0.9942628922396e-01, 0.1581959461667e+01,
1093       0.5505382581266e-08, 0.2466557607764e+01, 0.6503488384892e+01,
1094       0.5353771071862e-08, 0.4551978748683e+01, 0.1735668374386e+03,
1095 
1096       0.5063282210946e-08, 0.5710812312425e+01, 0.1248988586463e+02,
1097       0.5926120403383e-08, 0.1333998428358e+01, 0.2673594526851e+02,
1098       0.5211016176149e-08, 0.4649315360760e+01, 0.2460261242967e+02,
1099       0.5347075084894e-08, 0.5512754081205e+01, 0.4171425416666e+01,
1100       0.4872609773574e-08, 0.1308025299938e+01, 0.5333900173445e+01,
1101       0.4727711321420e-08, 0.2144908368062e+01, 0.7232251527446e+01,
1102       0.6029426018652e-08, 0.5567259412084e+01, 0.3227113045244e+03,
1103       0.4321485284369e-08, 0.5230667156451e+01, 0.9388005868221e+01,
1104       0.4476406760553e-08, 0.6134081115303e+01, 0.5547199253223e+01,
1105       0.5835268277420e-08, 0.4783808492071e+01, 0.7285056171570e+02,
1106 
1107       0.5172183602748e-08, 0.5161817911099e+01, 0.1884570439172e+02,
1108       0.5693571465184e-08, 0.1381646203111e+01, 0.9723862754494e+02,
1109       0.4060634965349e-08, 0.3876705259495e+00, 0.4274518229222e+01,
1110       0.3967398770473e-08, 0.5029491776223e+01, 0.3496032717521e+01,
1111       0.3943754005255e-08, 0.1923162955490e+01, 0.6244942932314e+01,
1112       0.4781323427824e-08, 0.4633332586423e+01, 0.2929661536378e+02,
1113       0.3871483781204e-08, 0.1616650009743e+01, 0.6321208768577e+01,
1114       0.5141741733997e-08, 0.9817316704659e-01, 0.1232032006293e+02,
1115       0.4002385978497e-08, 0.3656161212139e+01, 0.7018952447668e+01,
1116       0.4901092604097e-08, 0.4404098713092e+01, 0.1478866649112e+01,
1117 
1118       0.3740932630345e-08, 0.5181188732639e+00, 0.6922973089781e+01,
1119       0.4387283718538e-08, 0.3254859566869e+01, 0.2331413144044e+03,
1120       0.5019197802033e-08, 0.3086773224677e+01, 0.1715706182245e+02,
1121       0.3834931695175e-08, 0.2797882673542e+01, 0.1491901785440e+02,
1122       0.3760413942497e-08, 0.2892676280217e+01, 0.1726726808967e+02,
1123       0.3719717204628e-08, 0.5861046025739e+01, 0.6297302759782e+01,
1124       0.4145623530149e-08, 0.2168239627033e+01, 0.1376059875786e+02,
1125       0.3932788425380e-08, 0.6271811124181e+01, 0.7872148766781e+01,
1126       0.3686377476857e-08, 0.3936853151404e+01, 0.6268848941110e+01,
1127       0.3779077950339e-08, 0.1404148734043e+01, 0.4157198507331e+01,
1128 
1129       0.4091334550598e-08, 0.2452436180854e+01, 0.9779108567966e+01,
1130       0.3926694536146e-08, 0.6102292739040e+01, 0.1098419223922e+02,
1131       0.4841000253289e-08, 0.6072760457276e+01, 0.1252801878276e+02,
1132       0.4949340130240e-08, 0.1154832815171e+01, 0.1617106187867e+03,
1133       0.3761557737360e-08, 0.5527545321897e+01, 0.3185192151914e+01,
1134       0.3647396268188e-08, 0.1525035688629e+01, 0.6271346477544e+01,
1135       0.3932405074189e-08, 0.5570681040569e+01, 0.2139354194808e+02,
1136       0.3631322501141e-08, 0.1981240601160e+01, 0.6294805223347e+01,
1137       0.4130007425139e-08, 0.2050060880201e+01, 0.2195415756911e+02,
1138       0.4433905965176e-08, 0.3277477970321e+01, 0.7445550607224e+01,
1139 
1140       0.3851814176947e-08, 0.5210690074886e+01, 0.9562891316684e+00,
1141       0.3485807052785e-08, 0.6653274904611e+00, 0.1161697602389e+02,
1142       0.3979772816991e-08, 0.1767941436148e+01, 0.2277943724828e+02,
1143       0.3402607460500e-08, 0.3421746306465e+01, 0.1087398597200e+02,
1144       0.4049993000926e-08, 0.1127144787547e+01, 0.3163918923335e+00,
1145       0.3420511182382e-08, 0.4214794779161e+01, 0.1362553364512e+02,
1146       0.3640772365012e-08, 0.5324905497687e+01, 0.1725304118033e+02,
1147       0.3323037987501e-08, 0.6135761838271e+01, 0.6279143387820e+01,
1148       0.4503141663637e-08, 0.1802305450666e+01, 0.1385561574497e+01,
1149       0.4314560055588e-08, 0.4812299731574e+01, 0.4176041334900e+01,
1150 
1151       0.3294226949110e-08, 0.3657547059723e+01, 0.6287008313071e+01,
1152       0.3215657197281e-08, 0.4866676894425e+01, 0.5749861718712e+01,
1153       0.4129362656266e-08, 0.3809342558906e+01, 0.5905702259363e+01,
1154       0.3137762976388e-08, 0.2494635174443e+01, 0.2099539292909e+02,
1155       0.3514010952384e-08, 0.2699961831678e+01, 0.7335344340001e+01,
1156       0.3327607571530e-08, 0.3318457714816e+01, 0.5436992986000e+01,
1157       0.3541066946675e-08, 0.4382703582466e+01, 0.1234573916645e+02,
1158       0.3216179847052e-08, 0.5271066317054e+01, 0.3802769619140e-01,
1159       0.2959045059570e-08, 0.5819591585302e+01, 0.2670964694522e+02,
1160       0.3884040326665e-08, 0.5980934960428e+01, 0.6660449441528e+01,
1161 
1162       0.2922027539886e-08, 0.3337290282483e+01, 0.1375773836557e+01,
1163       0.4110846382042e-08, 0.5742978187327e+01, 0.4480965020977e+02,
1164       0.2934508411032e-08, 0.2278075804200e+01, 0.6408777551755e+00,
1165       0.3966896193000e-08, 0.5835747858477e+01, 0.3773735910827e+00,
1166       0.3286695827610e-08, 0.5838898193902e+01, 0.3932462625300e-02,
1167       0.3720643094196e-08, 0.1122212337858e+01, 0.1646033343740e+02,
1168       0.3285508906174e-08, 0.9182250996416e+00, 0.1081813534213e+02,
1169       0.3753880575973e-08, 0.5174761973266e+01, 0.5642198095270e+01,
1170       0.3022129385587e-08, 0.3381611020639e+01, 0.2982630633589e+02,
1171       0.2798569205621e-08, 0.3546193723922e+01, 0.1937891852345e+02,
1172 
1173       0.3397872070505e-08, 0.4533203197934e+01, 0.6923953605621e+01,
1174       0.3708099772977e-08, 0.2756168198616e+01, 0.3066615496545e+02,
1175       0.3599283541510e-08, 0.1934395469918e+01, 0.6147450479709e+01,
1176       0.3688702753059e-08, 0.7149920971109e+00, 0.2636725487657e+01,
1177       0.2681084724003e-08, 0.4899819493154e+01, 0.6816289982179e+01,
1178       0.3495993460759e-08, 0.1572418915115e+01, 0.6418701221183e+01,
1179       0.3130770324995e-08, 0.8912190180489e+00, 0.1235996607578e+02,
1180       0.2744353821941e-08, 0.3800821940055e+01, 0.2059724391010e+02,
1181       0.2842732906341e-08, 0.2644717440029e+01, 0.2828699048865e+02,
1182       0.3046882682154e-08, 0.3987793020179e+01, 0.6055599646783e+01,
1183 
1184       0.2399072455143e-08, 0.9908826440764e+00, 0.6255674361143e+01,
1185       0.2384306274204e-08, 0.2516149752220e+01, 0.6310477339748e+01,
1186       0.2977324500559e-08, 0.5849195642118e+01, 0.1652265972112e+02,
1187       0.3062835258972e-08, 0.1681660100162e+01, 0.1172006883645e+02,
1188       0.3109682589231e-08, 0.5804143987737e+00, 0.2751146787858e+02,
1189       0.2903920355299e-08, 0.5800768280123e+01, 0.6510552054109e+01,
1190       0.2823221989212e-08, 0.9241118370216e+00, 0.5469525544182e+01,
1191       0.3187949696649e-08, 0.3139776445735e+01, 0.1693792562116e+03,
1192       0.2922559771655e-08, 0.3549440782984e+01, 0.2630839062450e+00,
1193       0.2436302066603e-08, 0.4735540696319e+01, 0.3946258593675e+00,
1194 
1195       0.3049473043606e-08, 0.4998289124561e+01, 0.8390110365991e+01,
1196       0.2863682575784e-08, 0.6709515671102e+00, 0.2243449970715e+00,
1197       0.2641750517966e-08, 0.5410978257284e+01, 0.2986433403208e+02,
1198       0.2704093466243e-08, 0.4778317207821e+01, 0.6129297044991e+01,
1199       0.2445522177011e-08, 0.6009020662222e+01, 0.1171295538178e+02,
1200       0.2623608810230e-08, 0.5010449777147e+01, 0.6436854655901e+01,
1201       0.2079259704053e-08, 0.5980943768809e+01, 0.2019909489111e+02,
1202       0.2820225596771e-08, 0.2679965110468e+01, 0.5934151399930e+01,
1203       0.2365221950927e-08, 0.1894231148810e+01, 0.2470570524223e+02,
1204       0.2359682077149e-08, 0.4220752950780e+01, 0.8671969964381e+01,
1205 
1206       0.2387577137206e-08, 0.2571783940617e+01, 0.7096626156709e+01,
1207       0.1982102089816e-08, 0.5169765997119e+00, 0.1727188400790e+02,
1208       0.2687502389925e-08, 0.6239078264579e+01, 0.7075506709219e+02,
1209       0.2207751669135e-08, 0.2031184412677e+01, 0.4377611041777e+01,
1210       0.2618370214274e-08, 0.8266079985979e+00, 0.6632000300961e+01,
1211       0.2591951887361e-08, 0.8819350522008e+00, 0.4873985990671e+02,
1212       0.2375055656248e-08, 0.3520944177789e+01, 0.1590676413561e+02,
1213       0.2472019978911e-08, 0.1551431908671e+01, 0.6612329252343e+00,
1214       0.2368157127199e-08, 0.4178610147412e+01, 0.3459636466239e+02,
1215       0.1764846605693e-08, 0.1506764000157e+01, 0.1980094587212e+02,
1216 
1217       0.2291769608798e-08, 0.2118250611782e+01, 0.2844914056730e-01,
1218       0.2209997316943e-08, 0.3363255261678e+01, 0.2666070658668e+00,
1219       0.2292699097923e-08, 0.4200423956460e+00, 0.1484170571900e-02,
1220       0.1629683015329e-08, 0.2331362582487e+01, 0.3035599730800e+02,
1221       0.2206492862426e-08, 0.3400274026992e+01, 0.6281667977667e+01,
1222       0.2205746568257e-08, 0.1066051230724e+00, 0.6284483723224e+01,
1223       0.2026310767991e-08, 0.2779066487979e+01, 0.2449240616245e+02,
1224       0.1762977622163e-08, 0.9951450691840e+00, 0.2045286941806e+02,
1225       0.1368535049606e-08, 0.6402447365817e+00, 0.2473415438279e+02,
1226       0.1720598775450e-08, 0.2303524214705e+00, 0.1679593901136e+03,
1227 
1228       0.1702429015449e-08, 0.6164622655048e+01, 0.3338575901272e+03,
1229       0.1414033197685e-08, 0.3954561185580e+01, 0.1624205518357e+03,
1230       0.1573768958043e-08, 0.2028286308984e+01, 0.3144167757552e+02,
1231       0.1650705184447e-08, 0.2304040666128e+01, 0.5267006960365e+02,
1232       0.1651087618855e-08, 0.2538461057280e+01, 0.8956999012000e+02,
1233       0.1616409518983e-08, 0.5111054348152e+01, 0.3332657872986e+02,
1234       0.1537175173581e-08, 0.5601130666603e+01, 0.3852657435933e+02,
1235       0.1593191980553e-08, 0.2614340453411e+01, 0.2282781046519e+03,
1236       0.1499480170643e-08, 0.3624721577264e+01, 0.2823723341956e+02,
1237       0.1493807843235e-08, 0.4214569879008e+01, 0.2876692439167e+02,
1238 
1239       0.1074571199328e-08, 0.1496911744704e+00, 0.8397383534231e+02,
1240       0.1074406983417e-08, 0.1187817671922e+01, 0.8401985929482e+02,
1241       0.9757576855851e-09, 0.2655703035858e+01, 0.7826370942180e+02,
1242       0.1258432887565e-08, 0.4969896184844e+01, 0.3115650189215e+03,
1243       0.1240336343282e-08, 0.5192460776926e+01, 0.1784300471910e+03,
1244       0.9016107005164e-09, 0.1960356923057e+01, 0.5886454391678e+02,
1245       0.1135392360918e-08, 0.5082427809068e+01, 0.7842370451713e+02,
1246       0.9216046089565e-09, 0.2793775037273e+01, 0.1014262087719e+03,
1247       0.1061276615030e-08, 0.3726144311409e+01, 0.5660027930059e+02,
1248       0.1010110596263e-08, 0.7404080708937e+00, 0.4245678405627e+02,
1249 
1250       0.7217424756199e-09, 0.2697449980577e-01, 0.2457074661053e+03,
1251       0.6912003846756e-09, 0.4253296276335e+01, 0.1679936946371e+03,
1252       0.6871814664847e-09, 0.5148072412354e+01, 0.6053048899753e+02,
1253       0.4887158016343e-09, 0.2153581148294e+01, 0.9656299901946e+02,
1254       0.5161802866314e-09, 0.3852750634351e+01, 0.2442876000072e+03,
1255       0.5652599559057e-09, 0.1233233356270e+01, 0.8365903305582e+02,
1256       0.4710812608586e-09, 0.5610486976767e+01, 0.3164282286739e+03,
1257       0.4909977500324e-09, 0.1639629524123e+01, 0.4059982187939e+03,
1258       0.4772641839378e-09, 0.3737100368583e+01, 0.1805255418145e+03,
1259       0.4487562567153e-09, 0.1158417054478e+00, 0.8433466158131e+02,
1260 
1261       0.3943441230497e-09, 0.6243502862796e+00, 0.2568537517081e+03,
1262       0.3952236913598e-09, 0.3510377382385e+01, 0.2449975330562e+03,
1263       0.3788898363417e-09, 0.5916128302299e+01, 0.1568131045107e+03,
1264       0.3738329328831e-09, 0.1042266763456e+01, 0.3948519331910e+03,
1265       0.2451199165151e-09, 0.1166788435700e+01, 0.1435713242844e+03,
1266       0.2436734402904e-09, 0.3254726114901e+01, 0.2268582385539e+03,
1267       0.2213605274325e-09, 0.1687210598530e+01, 0.1658638954901e+03,
1268       0.1491521204829e-09, 0.2657541786794e+01, 0.2219950288015e+03,
1269       0.1474995329744e-09, 0.5013089805819e+01, 0.3052819430710e+03,
1270       0.1661939475656e-09, 0.5495315428418e+01, 0.2526661704812e+03,
1271 
1272       0.9015946748003e-10, 0.2236989966505e+01, 0.4171445043968e+03 };
1273 
1274 /* Sun-to-Earth, T^0, Z */
1275    static const double e0z[] = {
1276       0.2796207639075e-05, 0.3198701560209e+01, 0.8433466158131e+02,
1277       0.1016042198142e-05, 0.5422360395913e+01, 0.5507553240374e+01,
1278       0.8044305033647e-06, 0.3880222866652e+01, 0.5223693906222e+01,
1279       0.4385347909274e-06, 0.3704369937468e+01, 0.2352866153506e+01,
1280       0.3186156414906e-06, 0.3999639363235e+01, 0.1577343543434e+01,
1281       0.2272412285792e-06, 0.3984738315952e+01, 0.1047747311755e+01,
1282       0.1645620103007e-06, 0.3565412516841e+01, 0.5856477690889e+01,
1283       0.1815836921166e-06, 0.4984507059020e+01, 0.6283075850446e+01,
1284       0.1447461676364e-06, 0.3702753570108e+01, 0.9437762937313e+01,
1285       0.1430760876382e-06, 0.3409658712357e+01, 0.1021328554739e+02,
1286 
1287       0.1120445753226e-06, 0.4829561570246e+01, 0.1414349524433e+02,
1288       0.1090232840797e-06, 0.2080729178066e+01, 0.6812766822558e+01,
1289       0.9715727346551e-07, 0.3476295881948e+01, 0.4694002934110e+01,
1290       0.1036267136217e-06, 0.4056639536648e+01, 0.7109288135493e+02,
1291       0.8752665271340e-07, 0.4448159519911e+01, 0.5753384878334e+01,
1292       0.8331864956004e-07, 0.4991704044208e+01, 0.7084896783808e+01,
1293       0.6901658670245e-07, 0.4325358994219e+01, 0.6275962395778e+01,
1294       0.9144536848998e-07, 0.1141826375363e+01, 0.6620890113188e+01,
1295       0.7205085037435e-07, 0.3624344170143e+01, 0.5296909721118e+00,
1296       0.7697874654176e-07, 0.5554257458998e+01, 0.1676215758509e+03,
1297 
1298       0.5197545738384e-07, 0.6251760961735e+01, 0.1807370494127e+02,
1299       0.5031345378608e-07, 0.2497341091913e+01, 0.4705732307012e+01,
1300       0.4527110205840e-07, 0.2335079920992e+01, 0.6309374173736e+01,
1301       0.4753355798089e-07, 0.7094148987474e+00, 0.5884926831456e+01,
1302       0.4296951977516e-07, 0.1101916352091e+01, 0.6681224869435e+01,
1303       0.3855341568387e-07, 0.1825495405486e+01, 0.5486777812467e+01,
1304       0.5253930970990e-07, 0.4424740687208e+01, 0.7860419393880e+01,
1305       0.4024630496471e-07, 0.5120498157053e+01, 0.1336797263425e+02,
1306       0.4061069791453e-07, 0.6029771435451e+01, 0.3930209696940e+01,
1307       0.3797883804205e-07, 0.4435193600836e+00, 0.3154687086868e+01,
1308 
1309       0.2933033225587e-07, 0.5124157356507e+01, 0.1059381944224e+01,
1310       0.3503000930426e-07, 0.5421830162065e+01, 0.6069776770667e+01,
1311       0.3670096214050e-07, 0.4582101667297e+01, 0.1219403291462e+02,
1312       0.2905609437008e-07, 0.1926566420072e+01, 0.1097707878456e+02,
1313       0.2466827821713e-07, 0.6090174539834e+00, 0.6496374930224e+01,
1314       0.2691647295332e-07, 0.1393432595077e+01, 0.2200391463820e+02,
1315       0.2150554667946e-07, 0.4308671715951e+01, 0.5643178611111e+01,
1316       0.2237481922680e-07, 0.8133968269414e+00, 0.8635942003952e+01,
1317       0.1817741038157e-07, 0.3755205127454e+01, 0.3340612434717e+01,
1318       0.2227820762132e-07, 0.2759558596664e+01, 0.1203646072878e+02,
1319 
1320       0.1944713772307e-07, 0.5699645869121e+01, 0.1179062909082e+02,
1321       0.1527340520662e-07, 0.1986749091746e+01, 0.3981490189893e+00,
1322       0.1577282574914e-07, 0.3205017217983e+01, 0.5088628793478e+01,
1323       0.1424738825424e-07, 0.6256747903666e+01, 0.2544314396739e+01,
1324       0.1616563121701e-07, 0.2601671259394e+00, 0.1729818233119e+02,
1325       0.1401210391692e-07, 0.4686939173506e+01, 0.7058598460518e+01,
1326       0.1488726974214e-07, 0.2815862451372e+01, 0.2593412433514e+02,
1327       0.1692626442388e-07, 0.4956894109797e+01, 0.1564752902480e+03,
1328       0.1123571582910e-07, 0.2381192697696e+01, 0.3738761453707e+01,
1329       0.9903308606317e-08, 0.4294851657684e+01, 0.9225539266174e+01,
1330 
1331       0.9174533187191e-08, 0.3075171510642e+01, 0.4164311961999e+01,
1332       0.8645985631457e-08, 0.5477534821633e+00, 0.8429241228195e+01,
1333      -0.1085876492688e-07, 0.0000000000000e+00, 0.0000000000000e+00,
1334       0.9264309077815e-08, 0.5968571670097e+01, 0.7079373888424e+01,
1335       0.8243116984954e-08, 0.1489098777643e+01, 0.1044738781244e+02,
1336       0.8268102113708e-08, 0.3512977691983e+01, 0.1150676975667e+02,
1337       0.9043613988227e-08, 0.1290704408221e+00, 0.1101510648075e+02,
1338       0.7432912038789e-08, 0.1991086893337e+01, 0.2608790314060e+02,
1339       0.8586233727285e-08, 0.4238357924414e+01, 0.2986433403208e+02,
1340       0.7612230060131e-08, 0.2911090150166e+01, 0.4732030630302e+01,
1341 
1342       0.7097787751408e-08, 0.1908938392390e+01, 0.8031092209206e+01,
1343       0.7640237040175e-08, 0.6129219000168e+00, 0.7962980379786e+00,
1344       0.7070445688081e-08, 0.1380417036651e+01, 0.2146165377750e+01,
1345       0.7690770957702e-08, 0.1680504249084e+01, 0.2122839202813e+02,
1346       0.8051292542594e-08, 0.5127423484511e+01, 0.2942463415728e+01,
1347       0.5902709104515e-08, 0.2020274190917e+01, 0.7755226100720e+00,
1348       0.5134567496462e-08, 0.2606778676418e+01, 0.1256615170089e+02,
1349       0.5525802046102e-08, 0.1613011769663e+01, 0.8018209333619e+00,
1350       0.5880724784221e-08, 0.4604483417236e+01, 0.4690479774488e+01,
1351       0.5211699081370e-08, 0.5718964114193e+01, 0.8827390247185e+01,
1352 
1353       0.4891849573562e-08, 0.3689658932196e+01, 0.2132990797783e+00,
1354       0.5150246069997e-08, 0.4099769855122e+01, 0.6480980550449e+02,
1355       0.5102434319633e-08, 0.5660834602509e+01, 0.3379454372902e+02,
1356       0.5083405254252e-08, 0.9842221218974e+00, 0.4136910472696e+01,
1357       0.4206562585682e-08, 0.1341363634163e+00, 0.3128388763578e+01,
1358       0.4663249683579e-08, 0.8130132735866e+00, 0.5216580451554e+01,
1359       0.4099474416530e-08, 0.5791497770644e+01, 0.4265981595566e+00,
1360       0.4628251220767e-08, 0.1249802769331e+01, 0.1572083878776e+02,
1361       0.5024068728142e-08, 0.4795684802743e+01, 0.6290189305114e+01,
1362       0.5120234327758e-08, 0.3810420387208e+01, 0.5230807360890e+01,
1363 
1364       0.5524029815280e-08, 0.1029264714351e+01, 0.2397622045175e+03,
1365       0.4757415718860e-08, 0.3528044781779e+01, 0.1649636139783e+02,
1366       0.3915786131127e-08, 0.5593889282646e+01, 0.1589072916335e+01,
1367       0.4869053149991e-08, 0.3299636454433e+01, 0.7632943190217e+01,
1368       0.3649365703729e-08, 0.1286049002584e+01, 0.6206810014183e+01,
1369       0.3992493949002e-08, 0.3100307589464e+01, 0.2515860172507e+02,
1370       0.3320247477418e-08, 0.6212683940807e+01, 0.1216800268190e+02,
1371       0.3287123739696e-08, 0.4699118445928e+01, 0.7234794171227e+01,
1372       0.3472776811103e-08, 0.2630507142004e+01, 0.7342457794669e+01,
1373       0.3423253294767e-08, 0.2946432844305e+01, 0.9623688285163e+01,
1374 
1375       0.3896173898244e-08, 0.1224834179264e+01, 0.6438496133249e+01,
1376       0.3388455337924e-08, 0.1543807616351e+01, 0.1494531617769e+02,
1377       0.3062704716523e-08, 0.1191777572310e+01, 0.8662240327241e+01,
1378       0.3270075600400e-08, 0.5483498767737e+01, 0.1194447056968e+01,
1379       0.3101209215259e-08, 0.8000833804348e+00, 0.3772475342596e+02,
1380       0.2780883347311e-08, 0.4077980721888e+00, 0.5863591145557e+01,
1381       0.2903605931824e-08, 0.2617490302147e+01, 0.1965104848470e+02,
1382       0.2682014743119e-08, 0.2634703158290e+01, 0.7238675589263e+01,
1383       0.2534360108492e-08, 0.6102446114873e+01, 0.6836645152238e+01,
1384       0.2392564882509e-08, 0.3681820208691e+01, 0.5849364236221e+01,
1385 
1386       0.2656667254856e-08, 0.6216045388886e+01, 0.6133512519065e+01,
1387       0.2331242096773e-08, 0.5864949777744e+01, 0.4535059491685e+01,
1388       0.2287898363668e-08, 0.4566628532802e+01, 0.7477522907414e+01,
1389       0.2336944521306e-08, 0.2442722126930e+01, 0.1137170464392e+02,
1390       0.3156632236269e-08, 0.1626628050682e+01, 0.2509084901204e+03,
1391       0.2982612402766e-08, 0.2803604512609e+01, 0.1748016358760e+01,
1392       0.2774031674807e-08, 0.4654002897158e+01, 0.8223916695780e+02,
1393       0.2295236548638e-08, 0.4326518333253e+01, 0.3378142627421e+00,
1394       0.2190714699873e-08, 0.4519614578328e+01, 0.2908881142201e+02,
1395       0.2191495845045e-08, 0.3012626912549e+01, 0.1673046366289e+02,
1396 
1397       0.2492901628386e-08, 0.1290101424052e+00, 0.1543797956245e+03,
1398       0.1993778064319e-08, 0.3864046799414e+01, 0.1778984560711e+02,
1399       0.1898146479022e-08, 0.5053777235891e+01, 0.2042657109477e+02,
1400       0.1918280127634e-08, 0.2222470192548e+01, 0.4165496312290e+02,
1401       0.1916351061607e-08, 0.8719067257774e+00, 0.7737595720538e+02,
1402       0.1834720181466e-08, 0.4031491098040e+01, 0.2358125818164e+02,
1403       0.1249201523806e-08, 0.5938379466835e+01, 0.3301902111895e+02,
1404       0.1477304050539e-08, 0.6544722606797e+00, 0.9548094718417e+02,
1405       0.1264316431249e-08, 0.2059072853236e+01, 0.8399684731857e+02,
1406       0.1203526495039e-08, 0.3644813532605e+01, 0.4558517281984e+02,
1407 
1408       0.9221681059831e-09, 0.3241815055602e+01, 0.7805158573086e+02,
1409       0.7849278367646e-09, 0.5043812342457e+01, 0.5217580628120e+02,
1410       0.7983392077387e-09, 0.5000024502753e+01, 0.1501922143975e+03,
1411       0.7925395431654e-09, 0.1398734871821e-01, 0.9061773743175e+02,
1412       0.7640473285886e-09, 0.5067111723130e+01, 0.4951538251678e+02,
1413       0.5398937754482e-09, 0.5597382200075e+01, 0.1613385000004e+03,
1414       0.5626247550193e-09, 0.2601338209422e+01, 0.7318837597844e+02,
1415       0.5525197197855e-09, 0.5814832109256e+01, 0.1432335100216e+03,
1416       0.5407629837898e-09, 0.3384820609076e+01, 0.3230491187871e+03,
1417       0.3856739119801e-09, 0.1072391840473e+01, 0.2334791286671e+03,
1418 
1419       0.3856425239987e-09, 0.2369540393327e+01, 0.1739046517013e+03,
1420       0.4350867755983e-09, 0.5255575751082e+01, 0.1620484330494e+03,
1421       0.3844113924996e-09, 0.5482356246182e+01, 0.9757644180768e+02,
1422       0.2854869155431e-09, 0.9573634763143e+00, 0.1697170704744e+03,
1423       0.1719227671416e-09, 0.1887203025202e+01, 0.2265204242912e+03,
1424       0.1527846879755e-09, 0.3982183931157e+01, 0.3341954043900e+03,
1425       0.1128229264847e-09, 0.2787457156298e+01, 0.3119028331842e+03 };
1426 
1427 /* Sun-to-Earth, T^1, X */
1428    static const double e1x[] = {
1429       0.1234046326004e-05, 0.0000000000000e+00, 0.0000000000000e+00,
1430       0.5150068824701e-06, 0.6002664557501e+01, 0.1256615170089e+02,
1431       0.1290743923245e-07, 0.5959437664199e+01, 0.1884922755134e+02,
1432       0.1068615564952e-07, 0.2015529654209e+01, 0.6283075850446e+01,
1433       0.2079619142538e-08, 0.1732960531432e+01, 0.6279552690824e+01,
1434       0.2078009243969e-08, 0.4915604476996e+01, 0.6286599010068e+01,
1435       0.6206330058856e-09, 0.3616457953824e+00, 0.4705732307012e+01,
1436       0.5989335313746e-09, 0.3802607304474e+01, 0.6256777527156e+01,
1437       0.5958495663840e-09, 0.2845866560031e+01, 0.6309374173736e+01,
1438       0.4866923261539e-09, 0.5213203771824e+01, 0.7755226100720e+00,
1439 
1440       0.4267785823142e-09, 0.4368189727818e+00, 0.1059381944224e+01,
1441       0.4610675141648e-09, 0.1837249181372e-01, 0.7860419393880e+01,
1442       0.3626989993973e-09, 0.2161590545326e+01, 0.5753384878334e+01,
1443       0.3563071194389e-09, 0.1452631954746e+01, 0.5884926831456e+01,
1444       0.3557015642807e-09, 0.4470593393054e+01, 0.6812766822558e+01,
1445       0.3210412089122e-09, 0.5195926078314e+01, 0.6681224869435e+01,
1446       0.2875473577986e-09, 0.5916256610193e+01, 0.2513230340178e+02,
1447       0.2842913681629e-09, 0.1149902426047e+01, 0.6127655567643e+01,
1448       0.2751248215916e-09, 0.5502088574662e+01, 0.6438496133249e+01,
1449       0.2481432881127e-09, 0.2921989846637e+01, 0.5486777812467e+01,
1450 
1451       0.2059885976560e-09, 0.3718070376585e+01, 0.7079373888424e+01,
1452       0.2015522342591e-09, 0.5979395259740e+01, 0.6290189305114e+01,
1453       0.1995364084253e-09, 0.6772087985494e+00, 0.6275962395778e+01,
1454       0.1957436436943e-09, 0.2899210654665e+01, 0.5507553240374e+01,
1455       0.1651609818948e-09, 0.6228206482192e+01, 0.1150676975667e+02,
1456       0.1822980550699e-09, 0.1469348746179e+01, 0.1179062909082e+02,
1457       0.1675223159760e-09, 0.3813910555688e+01, 0.7058598460518e+01,
1458       0.1706491764745e-09, 0.3004380506684e+00, 0.7113454667900e-02,
1459       0.1392952362615e-09, 0.1440393973406e+01, 0.7962980379786e+00,
1460       0.1209868266342e-09, 0.4150425791727e+01, 0.4694002934110e+01,
1461 
1462       0.1009827202611e-09, 0.3290040429843e+01, 0.3738761453707e+01,
1463       0.1047261388602e-09, 0.4229590090227e+01, 0.6282095334605e+01,
1464       0.1047006652004e-09, 0.2418967680575e+01, 0.6284056366286e+01,
1465       0.9609993143095e-10, 0.4627943659201e+01, 0.6069776770667e+01,
1466       0.9590900593873e-10, 0.1894393939924e+01, 0.4136910472696e+01,
1467       0.9146249188071e-10, 0.2010647519562e+01, 0.6496374930224e+01,
1468       0.8545274480290e-10, 0.5529846956226e-01, 0.1194447056968e+01,
1469       0.8224377881194e-10, 0.1254304102174e+01, 0.1589072916335e+01,
1470       0.6183529510410e-10, 0.3360862168815e+01, 0.8827390247185e+01,
1471       0.6259255147141e-10, 0.4755628243179e+01, 0.8429241228195e+01,
1472 
1473       0.5539291694151e-10, 0.5371746955142e+01, 0.4933208510675e+01,
1474       0.7328259466314e-10, 0.4927699613906e+00, 0.4535059491685e+01,
1475       0.6017835843560e-10, 0.5776682001734e-01, 0.1255903824622e+02,
1476       0.7079827775243e-10, 0.4395059432251e+01, 0.5088628793478e+01,
1477       0.5170358878213e-10, 0.5154062619954e+01, 0.1176985366291e+02,
1478       0.4872301838682e-10, 0.6289611648973e+00, 0.6040347114260e+01,
1479       0.5249869411058e-10, 0.5617272046949e+01, 0.3154687086868e+01,
1480       0.4716172354411e-10, 0.3965901800877e+01, 0.5331357529664e+01,
1481       0.4871214940964e-10, 0.4627507050093e+01, 0.1256967486051e+02,
1482       0.4598076850751e-10, 0.6023631226459e+01, 0.6525804586632e+01,
1483 
1484       0.4562196089485e-10, 0.4138562084068e+01, 0.3930209696940e+01,
1485       0.4325493872224e-10, 0.1330845906564e+01, 0.7632943190217e+01,
1486       0.5673781176748e-10, 0.2558752615657e+01, 0.5729506548653e+01,
1487       0.3961436642503e-10, 0.2728071734630e+01, 0.7234794171227e+01,
1488       0.5101868209058e-10, 0.4113444965144e+01, 0.6836645152238e+01,
1489       0.5257043167676e-10, 0.6195089830590e+01, 0.8031092209206e+01,
1490       0.5076613989393e-10, 0.2305124132918e+01, 0.7477522907414e+01,
1491       0.3342169352778e-10, 0.5415998155071e+01, 0.1097707878456e+02,
1492       0.3545881983591e-10, 0.3727160564574e+01, 0.4164311961999e+01,
1493       0.3364063738599e-10, 0.2901121049204e+00, 0.1137170464392e+02,
1494 
1495       0.3357039670776e-10, 0.1652229354331e+01, 0.5223693906222e+01,
1496       0.4307412268687e-10, 0.4938909587445e+01, 0.1592596075957e+01,
1497       0.3405769115435e-10, 0.2408890766511e+01, 0.3128388763578e+01,
1498       0.3001926198480e-10, 0.4862239006386e+01, 0.1748016358760e+01,
1499       0.2778264787325e-10, 0.5241168661353e+01, 0.7342457794669e+01,
1500       0.2676159480666e-10, 0.3423593942199e+01, 0.2146165377750e+01,
1501       0.2954273399939e-10, 0.1881721265406e+01, 0.5368044267797e+00,
1502       0.3309362888795e-10, 0.1931525677349e+01, 0.8018209333619e+00,
1503       0.2810283608438e-10, 0.2414659495050e+01, 0.5225775174439e+00,
1504       0.3378045637764e-10, 0.4238019163430e+01, 0.1554202828031e+00,
1505 
1506       0.2558134979840e-10, 0.1828225235805e+01, 0.5230807360890e+01,
1507       0.2273755578447e-10, 0.5858184283998e+01, 0.7084896783808e+01,
1508       0.2294176037690e-10, 0.4514589779057e+01, 0.1726015463500e+02,
1509       0.2533506099435e-10, 0.2355717851551e+01, 0.5216580451554e+01,
1510       0.2716685375812e-10, 0.2221003625100e+01, 0.8635942003952e+01,
1511       0.2419043435198e-10, 0.5955704951635e+01, 0.4690479774488e+01,
1512       0.2521232544812e-10, 0.1395676848521e+01, 0.5481254917084e+01,
1513       0.2630195021491e-10, 0.5727468918743e+01, 0.2629832328990e-01,
1514       0.2548395840944e-10, 0.2628351859400e-03, 0.1349867339771e+01 };
1515 
1516 /* Sun-to-Earth, T^1, Y */
1517    static const double e1y[] = {
1518       0.9304690546528e-06, 0.0000000000000e+00, 0.0000000000000e+00,
1519       0.5150715570663e-06, 0.4431807116294e+01, 0.1256615170089e+02,
1520       0.1290825411056e-07, 0.4388610039678e+01, 0.1884922755134e+02,
1521       0.4645466665386e-08, 0.5827263376034e+01, 0.6283075850446e+01,
1522       0.2079625310718e-08, 0.1621698662282e+00, 0.6279552690824e+01,
1523       0.2078189850907e-08, 0.3344713435140e+01, 0.6286599010068e+01,
1524       0.6207190138027e-09, 0.5074049319576e+01, 0.4705732307012e+01,
1525       0.5989826532569e-09, 0.2231842216620e+01, 0.6256777527156e+01,
1526       0.5961360812618e-09, 0.1274975769045e+01, 0.6309374173736e+01,
1527       0.4874165471016e-09, 0.3642277426779e+01, 0.7755226100720e+00,
1528 
1529       0.4283834034360e-09, 0.5148765510106e+01, 0.1059381944224e+01,
1530       0.4652389287529e-09, 0.4715794792175e+01, 0.7860419393880e+01,
1531       0.3751707476401e-09, 0.6617207370325e+00, 0.5753384878334e+01,
1532       0.3559998806198e-09, 0.6155548875404e+01, 0.5884926831456e+01,
1533       0.3558447558857e-09, 0.2898827297664e+01, 0.6812766822558e+01,
1534       0.3211116927106e-09, 0.3625813502509e+01, 0.6681224869435e+01,
1535       0.2875609914672e-09, 0.4345435813134e+01, 0.2513230340178e+02,
1536       0.2843109704069e-09, 0.5862263940038e+01, 0.6127655567643e+01,
1537       0.2744676468427e-09, 0.3926419475089e+01, 0.6438496133249e+01,
1538       0.2481285237789e-09, 0.1351976572828e+01, 0.5486777812467e+01,
1539 
1540       0.2060338481033e-09, 0.2147556998591e+01, 0.7079373888424e+01,
1541       0.2015822358331e-09, 0.4408358972216e+01, 0.6290189305114e+01,
1542       0.2001195944195e-09, 0.5385829822531e+01, 0.6275962395778e+01,
1543       0.1953667642377e-09, 0.1304933746120e+01, 0.5507553240374e+01,
1544       0.1839744078713e-09, 0.6173567228835e+01, 0.1179062909082e+02,
1545       0.1643334294845e-09, 0.4635942997523e+01, 0.1150676975667e+02,
1546       0.1768051018652e-09, 0.5086283558874e+01, 0.7113454667900e-02,
1547       0.1674874205489e-09, 0.2243332137241e+01, 0.7058598460518e+01,
1548       0.1421445397609e-09, 0.6186899771515e+01, 0.7962980379786e+00,
1549       0.1255163958267e-09, 0.5730238465658e+01, 0.4694002934110e+01,
1550 
1551       0.1013945281961e-09, 0.1726055228402e+01, 0.3738761453707e+01,
1552       0.1047294335852e-09, 0.2658801228129e+01, 0.6282095334605e+01,
1553       0.1047103879392e-09, 0.8481047835035e+00, 0.6284056366286e+01,
1554       0.9530343962826e-10, 0.3079267149859e+01, 0.6069776770667e+01,
1555       0.9604637611690e-10, 0.3258679792918e+00, 0.4136910472696e+01,
1556       0.9153518537177e-10, 0.4398599886584e+00, 0.6496374930224e+01,
1557       0.8562458214922e-10, 0.4772686794145e+01, 0.1194447056968e+01,
1558       0.8232525360654e-10, 0.5966220721679e+01, 0.1589072916335e+01,
1559       0.6150223411438e-10, 0.1780985591923e+01, 0.8827390247185e+01,
1560       0.6272087858000e-10, 0.3184305429012e+01, 0.8429241228195e+01,
1561 
1562       0.5540476311040e-10, 0.3801260595433e+01, 0.4933208510675e+01,
1563       0.7331901699361e-10, 0.5205948591865e+01, 0.4535059491685e+01,
1564       0.6018528702791e-10, 0.4770139083623e+01, 0.1255903824622e+02,
1565       0.5150530724804e-10, 0.3574796899585e+01, 0.1176985366291e+02,
1566       0.6471933741811e-10, 0.2679787266521e+01, 0.5088628793478e+01,
1567       0.5317460644174e-10, 0.9528763345494e+00, 0.3154687086868e+01,
1568       0.4832187748783e-10, 0.5329322498232e+01, 0.6040347114260e+01,
1569       0.4716763555110e-10, 0.2395235316466e+01, 0.5331357529664e+01,
1570       0.4871509139861e-10, 0.3056663648823e+01, 0.1256967486051e+02,
1571       0.4598417696768e-10, 0.4452762609019e+01, 0.6525804586632e+01,
1572 
1573       0.5674189533175e-10, 0.9879680872193e+00, 0.5729506548653e+01,
1574       0.4073560328195e-10, 0.5939127696986e+01, 0.7632943190217e+01,
1575       0.5040994945359e-10, 0.4549875824510e+01, 0.8031092209206e+01,
1576       0.5078185134679e-10, 0.7346659893982e+00, 0.7477522907414e+01,
1577       0.3769343537061e-10, 0.1071317188367e+01, 0.7234794171227e+01,
1578       0.4980331365299e-10, 0.2500345341784e+01, 0.6836645152238e+01,
1579       0.3458236594757e-10, 0.3825159450711e+01, 0.1097707878456e+02,
1580       0.3578859493602e-10, 0.5299664791549e+01, 0.4164311961999e+01,
1581       0.3370504646419e-10, 0.5002316301593e+01, 0.1137170464392e+02,
1582       0.3299873338428e-10, 0.2526123275282e+01, 0.3930209696940e+01,
1583 
1584       0.4304917318409e-10, 0.3368078557132e+01, 0.1592596075957e+01,
1585       0.3402418753455e-10, 0.8385495425800e+00, 0.3128388763578e+01,
1586       0.2778460572146e-10, 0.3669905203240e+01, 0.7342457794669e+01,
1587       0.2782710128902e-10, 0.2691664812170e+00, 0.1748016358760e+01,
1588       0.2711725179646e-10, 0.4707487217718e+01, 0.5296909721118e+00,
1589       0.2981760946340e-10, 0.3190260867816e+00, 0.5368044267797e+00,
1590       0.2811672977772e-10, 0.3196532315372e+01, 0.7084896783808e+01,
1591       0.2863454474467e-10, 0.2263240324780e+00, 0.5223693906222e+01,
1592       0.3333464634051e-10, 0.3498451685065e+01, 0.8018209333619e+00,
1593       0.3312991747609e-10, 0.5839154477412e+01, 0.1554202828031e+00,
1594 
1595       0.2813255564006e-10, 0.8268044346621e+00, 0.5225775174439e+00,
1596       0.2665098083966e-10, 0.3934021725360e+01, 0.5216580451554e+01,
1597       0.2349795705216e-10, 0.5197620913779e+01, 0.2146165377750e+01,
1598       0.2330352293961e-10, 0.2984999231807e+01, 0.1726015463500e+02,
1599       0.2728001683419e-10, 0.6521679638544e+00, 0.8635942003952e+01,
1600       0.2484061007669e-10, 0.3468955561097e+01, 0.5230807360890e+01,
1601       0.2646328768427e-10, 0.1013724533516e+01, 0.2629832328990e-01,
1602       0.2518630264831e-10, 0.6108081057122e+01, 0.5481254917084e+01,
1603       0.2421901455384e-10, 0.1651097776260e+01, 0.1349867339771e+01,
1604       0.6348533267831e-11, 0.3220226560321e+01, 0.8433466158131e+02 };
1605 
1606 /* Sun-to-Earth, T^1, Z */
1607    static const double e1z[] = {
1608       0.2278290449966e-05, 0.3413716033863e+01, 0.6283075850446e+01,
1609       0.5429458209830e-07, 0.0000000000000e+00, 0.0000000000000e+00,
1610       0.1903240492525e-07, 0.3370592358297e+01, 0.1256615170089e+02,
1611       0.2385409276743e-09, 0.3327914718416e+01, 0.1884922755134e+02,
1612       0.8676928342573e-10, 0.1824006811264e+01, 0.5223693906222e+01,
1613       0.7765442593544e-10, 0.3888564279247e+01, 0.5507553240374e+01,
1614       0.7066158332715e-10, 0.5194267231944e+01, 0.2352866153506e+01,
1615       0.7092175288657e-10, 0.2333246960021e+01, 0.8399684731857e+02,
1616       0.5357582213535e-10, 0.2224031176619e+01, 0.5296909721118e+00,
1617       0.3828035865021e-10, 0.2156710933584e+01, 0.6279552690824e+01,
1618 
1619       0.3824857220427e-10, 0.1529755219915e+01, 0.6286599010068e+01,
1620       0.3286995181628e-10, 0.4879512900483e+01, 0.1021328554739e+02 };
1621 
1622 /* Sun-to-Earth, T^2, X */
1623    static const double e2x[] = {
1624      -0.4143818297913e-10, 0.0000000000000e+00, 0.0000000000000e+00,
1625       0.2171497694435e-10, 0.4398225628264e+01, 0.1256615170089e+02,
1626       0.9845398442516e-11, 0.2079720838384e+00, 0.6283075850446e+01,
1627       0.9256833552682e-12, 0.4191264694361e+01, 0.1884922755134e+02,
1628       0.1022049384115e-12, 0.5381133195658e+01, 0.8399684731857e+02 };
1629 
1630 /* Sun-to-Earth, T^2, Y */
1631    static const double e2y[] = {
1632       0.5063375872532e-10, 0.0000000000000e+00, 0.0000000000000e+00,
1633       0.2173815785980e-10, 0.2827805833053e+01, 0.1256615170089e+02,
1634       0.1010231999920e-10, 0.4634612377133e+01, 0.6283075850446e+01,
1635       0.9259745317636e-12, 0.2620612076189e+01, 0.1884922755134e+02,
1636       0.1022202095812e-12, 0.3809562326066e+01, 0.8399684731857e+02 };
1637 
1638 /* Sun-to-Earth, T^2, Z */
1639    static const double e2z[] = {
1640       0.9722666114891e-10, 0.5152219582658e+01, 0.6283075850446e+01,
1641      -0.3494819171909e-11, 0.0000000000000e+00, 0.0000000000000e+00,
1642       0.6713034376076e-12, 0.6440188750495e+00, 0.1256615170089e+02 };
1643 
1644 /* SSB-to-Sun, T^0, X */
1645    static const double s0x[] = {
1646       0.4956757536410e-02, 0.3741073751789e+01, 0.5296909721118e+00,
1647       0.2718490072522e-02, 0.4016011511425e+01, 0.2132990797783e+00,
1648       0.1546493974344e-02, 0.2170528330642e+01, 0.3813291813120e-01,
1649       0.8366855276341e-03, 0.2339614075294e+01, 0.7478166569050e-01,
1650       0.2936777942117e-03, 0.0000000000000e+00, 0.0000000000000e+00,
1651       0.1201317439469e-03, 0.4090736353305e+01, 0.1059381944224e+01,
1652       0.7578550887230e-04, 0.3241518088140e+01, 0.4265981595566e+00,
1653       0.1941787367773e-04, 0.1012202064330e+01, 0.2061856251104e+00,
1654       0.1889227765991e-04, 0.3892520416440e+01, 0.2204125344462e+00,
1655       0.1937896968613e-04, 0.4797779441161e+01, 0.1495633313810e+00,
1656 
1657       0.1434506110873e-04, 0.3868960697933e+01, 0.5225775174439e+00,
1658       0.1406659911580e-04, 0.4759766557397e+00, 0.5368044267797e+00,
1659       0.1179022300202e-04, 0.7774961520598e+00, 0.7626583626240e-01,
1660       0.8085864460959e-05, 0.3254654471465e+01, 0.3664874755930e-01,
1661       0.7622752967615e-05, 0.4227633103489e+01, 0.3961708870310e-01,
1662       0.6209171139066e-05, 0.2791828325711e+00, 0.7329749511860e-01,
1663       0.4366435633970e-05, 0.4440454875925e+01, 0.1589072916335e+01,
1664       0.3792124889348e-05, 0.5156393842356e+01, 0.7113454667900e-02,
1665       0.3154548963402e-05, 0.6157005730093e+01, 0.4194847048887e+00,
1666       0.3088359882942e-05, 0.2494567553163e+01, 0.6398972393349e+00,
1667 
1668       0.2788440902136e-05, 0.4934318747989e+01, 0.1102062672231e+00,
1669       0.3039928456376e-05, 0.4895077702640e+01, 0.6283075850446e+01,
1670       0.2272258457679e-05, 0.5278394064764e+01, 0.1030928125552e+00,
1671       0.2162007057957e-05, 0.5802978019099e+01, 0.3163918923335e+00,
1672       0.1767632855737e-05, 0.3415346595193e-01, 0.1021328554739e+02,
1673       0.1349413459362e-05, 0.2001643230755e+01, 0.1484170571900e-02,
1674       0.1170141900476e-05, 0.2424750491620e+01, 0.6327837846670e+00,
1675       0.1054355266820e-05, 0.3123311487576e+01, 0.4337116142245e+00,
1676       0.9800822461610e-06, 0.3026258088130e+01, 0.1052268489556e+01,
1677       0.1091203749931e-05, 0.3157811670347e+01, 0.1162474756779e+01,
1678 
1679       0.6960236715913e-06, 0.8219570542313e+00, 0.1066495398892e+01,
1680       0.5689257296909e-06, 0.1323052375236e+01, 0.9491756770005e+00,
1681       0.6613172135802e-06, 0.2765348881598e+00, 0.8460828644453e+00,
1682       0.6277702517571e-06, 0.5794064466382e+01, 0.1480791608091e+00,
1683       0.6304884066699e-06, 0.7323555380787e+00, 0.2243449970715e+00,
1684       0.4897850467382e-06, 0.3062464235399e+01, 0.3340612434717e+01,
1685       0.3759148598786e-06, 0.4588290469664e+01, 0.3516457698740e-01,
1686       0.3110520548195e-06, 0.1374299536572e+01, 0.6373574839730e-01,
1687       0.3064708359780e-06, 0.4222267485047e+01, 0.1104591729320e-01,
1688       0.2856347168241e-06, 0.3714202944973e+01, 0.1510475019529e+00,
1689 
1690       0.2840945514288e-06, 0.2847972875882e+01, 0.4110125927500e-01,
1691       0.2378951599405e-06, 0.3762072563388e+01, 0.2275259891141e+00,
1692       0.2714229481417e-06, 0.1036049980031e+01, 0.2535050500000e-01,
1693       0.2323551717307e-06, 0.4682388599076e+00, 0.8582758298370e-01,
1694       0.1881790512219e-06, 0.4790565425418e+01, 0.2118763888447e+01,
1695       0.2261353968371e-06, 0.1669144912212e+01, 0.7181332454670e-01,
1696       0.2214546389848e-06, 0.3937717281614e+01, 0.2968341143800e-02,
1697       0.2184915594933e-06, 0.1129169845099e+00, 0.7775000683430e-01,
1698       0.2000164937936e-06, 0.4030009638488e+01, 0.2093666171530e+00,
1699       0.1966105136719e-06, 0.8745955786834e+00, 0.2172315424036e+00,
1700 
1701       0.1904742332624e-06, 0.5919743598964e+01, 0.2022531624851e+00,
1702       0.1657399705031e-06, 0.2549141484884e+01, 0.7358765972222e+00,
1703       0.1574070533987e-06, 0.5277533020230e+01, 0.7429900518901e+00,
1704       0.1832261651039e-06, 0.3064688127777e+01, 0.3235053470014e+00,
1705       0.1733615346569e-06, 0.3011432799094e+01, 0.1385174140878e+00,
1706       0.1549124014496e-06, 0.4005569132359e+01, 0.5154640627760e+00,
1707       0.1637044713838e-06, 0.1831375966632e+01, 0.8531963191132e+00,
1708       0.1123420082383e-06, 0.1180270407578e+01, 0.1990721704425e+00,
1709       0.1083754165740e-06, 0.3414101320863e+00, 0.5439178814476e+00,
1710       0.1156638012655e-06, 0.6130479452594e+00, 0.5257585094865e+00,
1711 
1712       0.1142548785134e-06, 0.3724761948846e+01, 0.5336234347371e+00,
1713       0.7921463895965e-07, 0.2435425589361e+01, 0.1478866649112e+01,
1714       0.7428600285231e-07, 0.3542144398753e+01, 0.2164800718209e+00,
1715       0.8323211246747e-07, 0.3525058072354e+01, 0.1692165728891e+01,
1716       0.7257595116312e-07, 0.1364299431982e+01, 0.2101180877357e+00,
1717       0.7111185833236e-07, 0.2460478875808e+01, 0.4155522422634e+00,
1718       0.6868090383716e-07, 0.4397327670704e+01, 0.1173197218910e+00,
1719       0.7226419974175e-07, 0.4042647308905e+01, 0.1265567569334e+01,
1720       0.6955642383177e-07, 0.2865047906085e+01, 0.9562891316684e+00,
1721       0.7492139296331e-07, 0.5014278994215e+01, 0.1422690933580e-01,
1722 
1723       0.6598363128857e-07, 0.2376730020492e+01, 0.6470106940028e+00,
1724       0.7381147293385e-07, 0.3272990384244e+01, 0.1581959461667e+01,
1725       0.6402909624032e-07, 0.5302290955138e+01, 0.9597935788730e-01,
1726       0.6237454263857e-07, 0.5444144425332e+01, 0.7084920306520e-01,
1727       0.5241198544016e-07, 0.4215359579205e+01, 0.5265099800692e+00,
1728       0.5144463853918e-07, 0.1218916689916e+00, 0.5328719641544e+00,
1729       0.5868164772299e-07, 0.2369402002213e+01, 0.7871412831580e-01,
1730       0.6233195669151e-07, 0.1254922242403e+01, 0.2608790314060e+02,
1731       0.6068463791422e-07, 0.5679713760431e+01, 0.1114304132498e+00,
1732       0.4359361135065e-07, 0.6097219641646e+00, 0.1375773836557e+01,
1733 
1734       0.4686510366826e-07, 0.4786231041431e+01, 0.1143987543936e+00,
1735       0.3758977287225e-07, 0.1167368068139e+01, 0.1596186371003e+01,
1736       0.4282051974778e-07, 0.1519471064319e+01, 0.2770348281756e+00,
1737       0.5153765386113e-07, 0.1860532322984e+01, 0.2228608264996e+00,
1738       0.4575129387188e-07, 0.7632857887158e+00, 0.1465949902372e+00,
1739       0.3326844933286e-07, 0.1298219485285e+01, 0.5070101000000e-01,
1740       0.3748617450984e-07, 0.1046510321062e+01, 0.4903339079539e+00,
1741       0.2816756661499e-07, 0.3434522346190e+01, 0.2991266627620e+00,
1742       0.3412750405039e-07, 0.2523766270318e+01, 0.3518164938661e+00,
1743       0.2655796761776e-07, 0.2904422260194e+01, 0.6256703299991e+00,
1744 
1745       0.2963597929458e-07, 0.5923900431149e+00, 0.1099462426779e+00,
1746       0.2539523734781e-07, 0.4851947722567e+01, 0.1256615170089e+02,
1747       0.2283087914139e-07, 0.3400498595496e+01, 0.6681224869435e+01,
1748       0.2321309799331e-07, 0.5789099148673e+01, 0.3368040641550e-01,
1749       0.2549657649750e-07, 0.3991856479792e-01, 0.1169588211447e+01,
1750       0.2290462303977e-07, 0.2788567577052e+01, 0.1045155034888e+01,
1751       0.1945398522914e-07, 0.3290896998176e+01, 0.1155361302111e+01,
1752       0.1849171512638e-07, 0.2698060129367e+01, 0.4452511715700e-02,
1753       0.1647199834254e-07, 0.3016735644085e+01, 0.4408250688924e+00,
1754       0.1529530765273e-07, 0.5573043116178e+01, 0.6521991896920e-01,
1755 
1756       0.1433199339978e-07, 0.1481192356147e+01, 0.9420622223326e+00,
1757       0.1729134193602e-07, 0.1422817538933e+01, 0.2108507877249e+00,
1758       0.1716463931346e-07, 0.3469468901855e+01, 0.2157473718317e+00,
1759       0.1391206061378e-07, 0.6122436220547e+01, 0.4123712502208e+00,
1760       0.1404746661924e-07, 0.1647765641936e+01, 0.4258542984690e-01,
1761       0.1410452399455e-07, 0.5989729161964e+01, 0.2258291676434e+00,
1762       0.1089828772168e-07, 0.2833705509371e+01, 0.4226656969313e+00,
1763       0.1047374564948e-07, 0.5090690007331e+00, 0.3092784376656e+00,
1764       0.1358279126532e-07, 0.5128990262836e+01, 0.7923417740620e-01,
1765       0.1020456476148e-07, 0.9632772880808e+00, 0.1456308687557e+00,
1766 
1767       0.1033428735328e-07, 0.3223779318418e+01, 0.1795258541446e+01,
1768       0.1412435841540e-07, 0.2410271572721e+01, 0.1525316725248e+00,
1769       0.9722759371574e-08, 0.2333531395690e+01, 0.8434341241180e-01,
1770       0.9657334084704e-08, 0.6199270974168e+01, 0.1272681024002e+01,
1771       0.1083641148690e-07, 0.2864222292929e+01, 0.7032915397480e-01,
1772       0.1067318403838e-07, 0.5833458866568e+00, 0.2123349582968e+00,
1773       0.1062366201976e-07, 0.4307753989494e+01, 0.2142632012598e+00,
1774       0.1236364149266e-07, 0.2873917870593e+01, 0.1847279083684e+00,
1775       0.1092759489593e-07, 0.2959887266733e+01, 0.1370332435159e+00,
1776       0.8912069362899e-08, 0.5141213702562e+01, 0.2648454860559e+01,
1777 
1778       0.9656467707970e-08, 0.4532182462323e+01, 0.4376440768498e+00,
1779       0.8098386150135e-08, 0.2268906338379e+01, 0.2880807454688e+00,
1780       0.7857714675000e-08, 0.4055544260745e+01, 0.2037373330570e+00,
1781       0.7288455940646e-08, 0.5357901655142e+01, 0.1129145838217e+00,
1782       0.9450595950552e-08, 0.4264926963939e+01, 0.5272426800584e+00,
1783       0.9381718247537e-08, 0.7489366976576e-01, 0.5321392641652e+00,
1784       0.7079052646038e-08, 0.1923311052874e+01, 0.6288513220417e+00,
1785       0.9259004415344e-08, 0.2970256853438e+01, 0.1606092486742e+00,
1786       0.8259801499742e-08, 0.3327056314697e+01, 0.8389694097774e+00,
1787       0.6476334355779e-08, 0.2954925505727e+01, 0.2008557621224e+01,
1788 
1789       0.5984021492007e-08, 0.9138753105829e+00, 0.2042657109477e+02,
1790       0.5989546863181e-08, 0.3244464082031e+01, 0.2111650433779e+01,
1791       0.6233108606023e-08, 0.4995232638403e+00, 0.4305306221819e+00,
1792       0.6877299149965e-08, 0.2834987233449e+01, 0.9561746721300e-02,
1793       0.8311234227190e-08, 0.2202951835758e+01, 0.3801276407308e+00,
1794       0.6599472832414e-08, 0.4478581462618e+01, 0.1063314406849e+01,
1795       0.6160491096549e-08, 0.5145858696411e+01, 0.1368660381889e+01,
1796       0.6164772043891e-08, 0.3762976697911e+00, 0.4234171675140e+00,
1797       0.6363248684450e-08, 0.3162246718685e+01, 0.1253008786510e-01,
1798       0.6448587520999e-08, 0.3442693302119e+01, 0.5287268506303e+00,
1799 
1800       0.6431662283977e-08, 0.8977549136606e+00, 0.5306550935933e+00,
1801       0.6351223158474e-08, 0.4306447410369e+01, 0.5217580628120e+02,
1802       0.5476721393451e-08, 0.3888529177855e+01, 0.2221856701002e+01,
1803       0.5341772572619e-08, 0.2655560662512e+01, 0.7466759693650e-01,
1804       0.5337055758302e-08, 0.5164990735946e+01, 0.7489573444450e-01,
1805       0.5373120816787e-08, 0.6041214553456e+01, 0.1274714967946e+00,
1806       0.5392351705426e-08, 0.9177763485932e+00, 0.1055449481598e+01,
1807       0.6688495850205e-08, 0.3089608126937e+01, 0.2213766559277e+00,
1808       0.5072003660362e-08, 0.4311316541553e+01, 0.2132517061319e+00,
1809       0.5070726650455e-08, 0.5790675464444e+00, 0.2133464534247e+00,
1810 
1811       0.5658012950032e-08, 0.2703945510675e+01, 0.7287631425543e+00,
1812       0.4835509924854e-08, 0.2975422976065e+01, 0.7160067364790e-01,
1813       0.6479821978012e-08, 0.1324168733114e+01, 0.2209183458640e-01,
1814       0.6230636494980e-08, 0.2860103632836e+01, 0.3306188016693e+00,
1815       0.4649239516213e-08, 0.4832259763403e+01, 0.7796265773310e-01,
1816       0.6487325792700e-08, 0.2726165825042e+01, 0.3884652414254e+00,
1817       0.4682823682770e-08, 0.6966602455408e+00, 0.1073608853559e+01,
1818       0.5704230804976e-08, 0.5669634104606e+01, 0.8731175355560e-01,
1819       0.6125413585489e-08, 0.1513386538915e+01, 0.7605151500000e-01,
1820       0.6035825038187e-08, 0.1983509168227e+01, 0.9846002785331e+00,
1821 
1822       0.4331123462303e-08, 0.2782892992807e+01, 0.4297791515992e+00,
1823       0.4681107685143e-08, 0.5337232886836e+01, 0.2127790306879e+00,
1824       0.4669105829655e-08, 0.5837133792160e+01, 0.2138191288687e+00,
1825       0.5138823602365e-08, 0.3080560200507e+01, 0.7233337363710e-01,
1826       0.4615856664534e-08, 0.1661747897471e+01, 0.8603097737811e+00,
1827       0.4496916702197e-08, 0.2112508027068e+01, 0.7381754420900e-01,
1828       0.4278479042945e-08, 0.5716528462627e+01, 0.7574578717200e-01,
1829       0.3840525503932e-08, 0.6424172726492e+00, 0.3407705765729e+00,
1830       0.4866636509685e-08, 0.4919244697715e+01, 0.7722995774390e-01,
1831       0.3526100639296e-08, 0.2550821052734e+01, 0.6225157782540e-01,
1832 
1833       0.3939558488075e-08, 0.3939331491710e+01, 0.5268983110410e-01,
1834       0.4041268772576e-08, 0.2275337571218e+01, 0.3503323232942e+00,
1835       0.3948761842853e-08, 0.1999324200790e+01, 0.1451108196653e+00,
1836       0.3258394550029e-08, 0.9121001378200e+00, 0.5296435984654e+00,
1837       0.3257897048761e-08, 0.3428428660869e+01, 0.5297383457582e+00,
1838       0.3842559031298e-08, 0.6132927720035e+01, 0.9098186128426e+00,
1839       0.3109920095448e-08, 0.7693650193003e+00, 0.3932462625300e-02,
1840       0.3132237775119e-08, 0.3621293854908e+01, 0.2346394437820e+00,
1841       0.3942189421510e-08, 0.4841863659733e+01, 0.3180992042600e-02,
1842       0.3796972285340e-08, 0.1814174994268e+01, 0.1862120789403e+00,
1843 
1844       0.3995640233688e-08, 0.1386990406091e+01, 0.4549093064213e+00,
1845       0.2875013727414e-08, 0.9178318587177e+00, 0.1905464808669e+01,
1846       0.3073719932844e-08, 0.2688923811835e+01, 0.3628624111593e+00,
1847       0.2731016580075e-08, 0.1188259127584e+01, 0.2131850110243e+00,
1848       0.2729549896546e-08, 0.3702160634273e+01, 0.2134131485323e+00,
1849       0.3339372892449e-08, 0.7199163960331e+00, 0.2007689919132e+00,
1850       0.2898833764204e-08, 0.1916709364999e+01, 0.5291709230214e+00,
1851       0.2894536549362e-08, 0.2424043195547e+01, 0.5302110212022e+00,
1852       0.3096872473843e-08, 0.4445894977497e+01, 0.2976424921901e+00,
1853       0.2635672326810e-08, 0.3814366984117e+01, 0.1485980103780e+01,
1854 
1855       0.3649302697001e-08, 0.2924200596084e+01, 0.6044726378023e+00,
1856       0.3127954585895e-08, 0.1842251648327e+01, 0.1084620721060e+00,
1857       0.2616040173947e-08, 0.4155841921984e+01, 0.1258454114666e+01,
1858       0.2597395859860e-08, 0.1158045978874e+00, 0.2103781122809e+00,
1859       0.2593286172210e-08, 0.4771850408691e+01, 0.2162200472757e+00,
1860       0.2481823585747e-08, 0.4608842558889e+00, 0.1062562936266e+01,
1861       0.2742219550725e-08, 0.1538781127028e+01, 0.5651155736444e+00,
1862       0.3199558469610e-08, 0.3226647822878e+00, 0.7036329877322e+00,
1863       0.2666088542957e-08, 0.1967991731219e+00, 0.1400015846597e+00,
1864       0.2397067430580e-08, 0.3707036669873e+01, 0.2125476091956e+00,
1865 
1866       0.2376570772738e-08, 0.1182086628042e+01, 0.2140505503610e+00,
1867       0.2547228007887e-08, 0.4906256820629e+01, 0.1534957940063e+00,
1868       0.2265575594114e-08, 0.3414949866857e+01, 0.2235935264888e+00,
1869       0.2464381430585e-08, 0.4599122275378e+01, 0.2091065926078e+00,
1870       0.2433408527044e-08, 0.2830751145445e+00, 0.2174915669488e+00,
1871       0.2443605509076e-08, 0.4212046432538e+01, 0.1739420156204e+00,
1872       0.2319779262465e-08, 0.9881978408630e+00, 0.7530171478090e-01,
1873       0.2284622835465e-08, 0.5565347331588e+00, 0.7426161660010e-01,
1874       0.2467268750783e-08, 0.5655708150766e+00, 0.2526561439362e+00,
1875       0.2808513492782e-08, 0.1418405053408e+01, 0.5636314030725e+00,
1876 
1877       0.2329528932532e-08, 0.4069557545675e+01, 0.1056200952181e+01,
1878       0.9698639532817e-09, 0.1074134313634e+01, 0.7826370942180e+02 };
1879 
1880 /* SSB-to-Sun, T^0, Y */
1881    static const double s0y[] = {
1882       0.4955392320126e-02, 0.2170467313679e+01, 0.5296909721118e+00,
1883       0.2722325167392e-02, 0.2444433682196e+01, 0.2132990797783e+00,
1884       0.1546579925346e-02, 0.5992779281546e+00, 0.3813291813120e-01,
1885       0.8363140252966e-03, 0.7687356310801e+00, 0.7478166569050e-01,
1886       0.3385792683603e-03, 0.0000000000000e+00, 0.0000000000000e+00,
1887       0.1201192221613e-03, 0.2520035601514e+01, 0.1059381944224e+01,
1888       0.7587125720554e-04, 0.1669954006449e+01, 0.4265981595566e+00,
1889       0.1964155361250e-04, 0.5707743963343e+01, 0.2061856251104e+00,
1890       0.1891900364909e-04, 0.2320960679937e+01, 0.2204125344462e+00,
1891       0.1937373433356e-04, 0.3226940689555e+01, 0.1495633313810e+00,
1892 
1893       0.1437139941351e-04, 0.2301626908096e+01, 0.5225775174439e+00,
1894       0.1406267683099e-04, 0.5188579265542e+01, 0.5368044267797e+00,
1895       0.1178703080346e-04, 0.5489483248476e+01, 0.7626583626240e-01,
1896       0.8079835186041e-05, 0.1683751835264e+01, 0.3664874755930e-01,
1897       0.7623253594652e-05, 0.2656400462961e+01, 0.3961708870310e-01,
1898       0.6248667483971e-05, 0.4992775362055e+01, 0.7329749511860e-01,
1899       0.4366353695038e-05, 0.2869706279678e+01, 0.1589072916335e+01,
1900       0.3829101568895e-05, 0.3572131359950e+01, 0.7113454667900e-02,
1901       0.3175733773908e-05, 0.4535372530045e+01, 0.4194847048887e+00,
1902       0.3092437902159e-05, 0.9230153317909e+00, 0.6398972393349e+00,
1903 
1904       0.2874168812154e-05, 0.3363143761101e+01, 0.1102062672231e+00,
1905       0.3040119321826e-05, 0.3324250895675e+01, 0.6283075850446e+01,
1906       0.2699723308006e-05, 0.2917882441928e+00, 0.1030928125552e+00,
1907       0.2134832683534e-05, 0.4220997202487e+01, 0.3163918923335e+00,
1908       0.1770412139433e-05, 0.4747318496462e+01, 0.1021328554739e+02,
1909       0.1377264209373e-05, 0.4305058462401e+00, 0.1484170571900e-02,
1910       0.1127814538960e-05, 0.8538177240740e+00, 0.6327837846670e+00,
1911       0.1055608090130e-05, 0.1551800742580e+01, 0.4337116142245e+00,
1912       0.9802673861420e-06, 0.1459646735377e+01, 0.1052268489556e+01,
1913       0.1090329461951e-05, 0.1587351228711e+01, 0.1162474756779e+01,
1914 
1915       0.6959590025090e-06, 0.5534442628766e+01, 0.1066495398892e+01,
1916       0.5664914529542e-06, 0.6030673003297e+01, 0.9491756770005e+00,
1917       0.6607787763599e-06, 0.4989507233927e+01, 0.8460828644453e+00,
1918       0.6269725742838e-06, 0.4222951804572e+01, 0.1480791608091e+00,
1919       0.6301889697863e-06, 0.5444316669126e+01, 0.2243449970715e+00,
1920       0.4891042662861e-06, 0.1490552839784e+01, 0.3340612434717e+01,
1921       0.3457083123290e-06, 0.3030475486049e+01, 0.3516457698740e-01,
1922       0.3032559967314e-06, 0.2652038793632e+01, 0.1104591729320e-01,
1923       0.2841133988903e-06, 0.1276744786829e+01, 0.4110125927500e-01,
1924       0.2855564444432e-06, 0.2143368674733e+01, 0.1510475019529e+00,
1925 
1926       0.2765157135038e-06, 0.5444186109077e+01, 0.6373574839730e-01,
1927       0.2382312465034e-06, 0.2190521137593e+01, 0.2275259891141e+00,
1928       0.2808060365077e-06, 0.5735195064841e+01, 0.2535050500000e-01,
1929       0.2332175234405e-06, 0.9481985524859e-01, 0.7181332454670e-01,
1930       0.2322488199659e-06, 0.5180499361533e+01, 0.8582758298370e-01,
1931       0.1881850258423e-06, 0.3219788273885e+01, 0.2118763888447e+01,
1932       0.2196111392808e-06, 0.2366941159761e+01, 0.2968341143800e-02,
1933       0.2183810335519e-06, 0.4825445110915e+01, 0.7775000683430e-01,
1934       0.2002733093326e-06, 0.2457148995307e+01, 0.2093666171530e+00,
1935       0.1967111767229e-06, 0.5586291545459e+01, 0.2172315424036e+00,
1936 
1937       0.1568473250543e-06, 0.3708003123320e+01, 0.7429900518901e+00,
1938       0.1852528314300e-06, 0.4310638151560e+01, 0.2022531624851e+00,
1939       0.1832111226447e-06, 0.1494665322656e+01, 0.3235053470014e+00,
1940       0.1746805502310e-06, 0.1451378500784e+01, 0.1385174140878e+00,
1941       0.1555730966650e-06, 0.1068040418198e+01, 0.7358765972222e+00,
1942       0.1554883462559e-06, 0.2442579035461e+01, 0.5154640627760e+00,
1943       0.1638380568746e-06, 0.2597913420625e+00, 0.8531963191132e+00,
1944       0.1159938593640e-06, 0.5834512021280e+01, 0.1990721704425e+00,
1945       0.1083427965695e-06, 0.5054033177950e+01, 0.5439178814476e+00,
1946       0.1156480369431e-06, 0.5325677432457e+01, 0.5257585094865e+00,
1947 
1948       0.1141308860095e-06, 0.2153403923857e+01, 0.5336234347371e+00,
1949       0.7913146470946e-07, 0.8642846847027e+00, 0.1478866649112e+01,
1950       0.7439752463733e-07, 0.1970628496213e+01, 0.2164800718209e+00,
1951       0.7280277104079e-07, 0.6073307250609e+01, 0.2101180877357e+00,
1952       0.8319567719136e-07, 0.1954371928334e+01, 0.1692165728891e+01,
1953       0.7137705549290e-07, 0.8904989440909e+00, 0.4155522422634e+00,
1954       0.6900825396225e-07, 0.2825717714977e+01, 0.1173197218910e+00,
1955       0.7245757216635e-07, 0.2481677513331e+01, 0.1265567569334e+01,
1956       0.6961165696255e-07, 0.1292955312978e+01, 0.9562891316684e+00,
1957       0.7571804456890e-07, 0.3427517575069e+01, 0.1422690933580e-01,
1958 
1959       0.6605425721904e-07, 0.8052192701492e+00, 0.6470106940028e+00,
1960       0.7375477357248e-07, 0.1705076390088e+01, 0.1581959461667e+01,
1961       0.7041664951470e-07, 0.4848356967891e+00, 0.9597935788730e-01,
1962       0.6322199535763e-07, 0.3878069473909e+01, 0.7084920306520e-01,
1963       0.5244380279191e-07, 0.2645560544125e+01, 0.5265099800692e+00,
1964       0.5143125704988e-07, 0.4834486101370e+01, 0.5328719641544e+00,
1965       0.5871866319373e-07, 0.7981472548900e+00, 0.7871412831580e-01,
1966       0.6300822573871e-07, 0.5979398788281e+01, 0.2608790314060e+02,
1967       0.6062154271548e-07, 0.4108655402756e+01, 0.1114304132498e+00,
1968       0.4361912339976e-07, 0.5322624319280e+01, 0.1375773836557e+01,
1969 
1970       0.4417005920067e-07, 0.6240817359284e+01, 0.2770348281756e+00,
1971       0.4686806749936e-07, 0.3214977301156e+01, 0.1143987543936e+00,
1972       0.3758892132305e-07, 0.5879809634765e+01, 0.1596186371003e+01,
1973       0.5151351332319e-07, 0.2893377688007e+00, 0.2228608264996e+00,
1974       0.4554683578572e-07, 0.5475427144122e+01, 0.1465949902372e+00,
1975       0.3442381385338e-07, 0.5992034796640e+01, 0.5070101000000e-01,
1976       0.2831093954933e-07, 0.5367350273914e+01, 0.3092784376656e+00,
1977       0.3756267090084e-07, 0.5758171285420e+01, 0.4903339079539e+00,
1978       0.2816374679892e-07, 0.1863718700923e+01, 0.2991266627620e+00,
1979       0.3419307025569e-07, 0.9524347534130e+00, 0.3518164938661e+00,
1980 
1981       0.2904250494239e-07, 0.5304471615602e+01, 0.1099462426779e+00,
1982       0.2471734511206e-07, 0.1297069793530e+01, 0.6256703299991e+00,
1983       0.2539620831872e-07, 0.3281126083375e+01, 0.1256615170089e+02,
1984       0.2281017868007e-07, 0.1829122133165e+01, 0.6681224869435e+01,
1985       0.2275319473335e-07, 0.5797198160181e+01, 0.3932462625300e-02,
1986       0.2547755368442e-07, 0.4752697708330e+01, 0.1169588211447e+01,
1987       0.2285979669317e-07, 0.1223205292886e+01, 0.1045155034888e+01,
1988       0.1913386560994e-07, 0.1757532993389e+01, 0.1155361302111e+01,
1989       0.1809020525147e-07, 0.4246116108791e+01, 0.3368040641550e-01,
1990       0.1649213300201e-07, 0.1445162890627e+01, 0.4408250688924e+00,
1991 
1992       0.1834972793932e-07, 0.1126917567225e+01, 0.4452511715700e-02,
1993       0.1439550648138e-07, 0.6160756834764e+01, 0.9420622223326e+00,
1994       0.1487645457041e-07, 0.4358761931792e+01, 0.4123712502208e+00,
1995       0.1731729516660e-07, 0.6134456753344e+01, 0.2108507877249e+00,
1996       0.1717747163567e-07, 0.1898186084455e+01, 0.2157473718317e+00,
1997       0.1418190430374e-07, 0.4180286741266e+01, 0.6521991896920e-01,
1998       0.1404844134873e-07, 0.7654053565412e-01, 0.4258542984690e-01,
1999       0.1409842846538e-07, 0.4418612420312e+01, 0.2258291676434e+00,
2000       0.1090948346291e-07, 0.1260615686131e+01, 0.4226656969313e+00,
2001       0.1357577323612e-07, 0.3558248818690e+01, 0.7923417740620e-01,
2002 
2003       0.1018154061960e-07, 0.5676087241256e+01, 0.1456308687557e+00,
2004       0.1412073972109e-07, 0.8394392632422e+00, 0.1525316725248e+00,
2005       0.1030938326496e-07, 0.1653593274064e+01, 0.1795258541446e+01,
2006       0.1180081567104e-07, 0.1285802592036e+01, 0.7032915397480e-01,
2007       0.9708510575650e-08, 0.7631889488106e+00, 0.8434341241180e-01,
2008       0.9637689663447e-08, 0.4630642649176e+01, 0.1272681024002e+01,
2009       0.1068910429389e-07, 0.5294934032165e+01, 0.2123349582968e+00,
2010       0.1063716179336e-07, 0.2736266800832e+01, 0.2142632012598e+00,
2011       0.1234858713814e-07, 0.1302891146570e+01, 0.1847279083684e+00,
2012       0.8912631189738e-08, 0.3570415993621e+01, 0.2648454860559e+01,
2013 
2014       0.1036378285534e-07, 0.4236693440949e+01, 0.1370332435159e+00,
2015       0.9667798501561e-08, 0.2960768892398e+01, 0.4376440768498e+00,
2016       0.8108314201902e-08, 0.6987781646841e+00, 0.2880807454688e+00,
2017       0.7648364324628e-08, 0.2499017863863e+01, 0.2037373330570e+00,
2018       0.7286136828406e-08, 0.3787426951665e+01, 0.1129145838217e+00,
2019       0.9448237743913e-08, 0.2694354332983e+01, 0.5272426800584e+00,
2020       0.9374276106428e-08, 0.4787121277064e+01, 0.5321392641652e+00,
2021       0.7100226287462e-08, 0.3530238792101e+00, 0.6288513220417e+00,
2022       0.9253056659571e-08, 0.1399478925664e+01, 0.1606092486742e+00,
2023       0.6636432145504e-08, 0.3479575438447e+01, 0.1368660381889e+01,
2024 
2025       0.6469975312932e-08, 0.1383669964800e+01, 0.2008557621224e+01,
2026       0.7335849729765e-08, 0.1243698166898e+01, 0.9561746721300e-02,
2027       0.8743421205855e-08, 0.3776164289301e+01, 0.3801276407308e+00,
2028       0.5993635744494e-08, 0.5627122113596e+01, 0.2042657109477e+02,
2029       0.5981008479693e-08, 0.1674336636752e+01, 0.2111650433779e+01,
2030       0.6188535145838e-08, 0.5214925208672e+01, 0.4305306221819e+00,
2031       0.6596074017566e-08, 0.2907653268124e+01, 0.1063314406849e+01,
2032       0.6630815126226e-08, 0.2127643669658e+01, 0.8389694097774e+00,
2033       0.6156772830040e-08, 0.5082160803295e+01, 0.4234171675140e+00,
2034       0.6446960563014e-08, 0.1872100916905e+01, 0.5287268506303e+00,
2035 
2036       0.6429324424668e-08, 0.5610276103577e+01, 0.5306550935933e+00,
2037       0.6302232396465e-08, 0.1592152049607e+01, 0.1253008786510e-01,
2038       0.6399244436159e-08, 0.2746214421532e+01, 0.5217580628120e+02,
2039       0.5474965172558e-08, 0.2317666374383e+01, 0.2221856701002e+01,
2040       0.5339293190692e-08, 0.1084724961156e+01, 0.7466759693650e-01,
2041       0.5334733683389e-08, 0.3594106067745e+01, 0.7489573444450e-01,
2042       0.5392665782110e-08, 0.5630254365606e+01, 0.1055449481598e+01,
2043       0.6682075673789e-08, 0.1518480041732e+01, 0.2213766559277e+00,
2044       0.5079130495960e-08, 0.2739765115711e+01, 0.2132517061319e+00,
2045       0.5077759793261e-08, 0.5290711290094e+01, 0.2133464534247e+00,
2046 
2047       0.4832037368310e-08, 0.1404473217200e+01, 0.7160067364790e-01,
2048       0.6463279674802e-08, 0.6038381695210e+01, 0.2209183458640e-01,
2049       0.6240592771560e-08, 0.1290170653666e+01, 0.3306188016693e+00,
2050       0.4672013521493e-08, 0.3261895939677e+01, 0.7796265773310e-01,
2051       0.6500650750348e-08, 0.1154522312095e+01, 0.3884652414254e+00,
2052       0.6344161389053e-08, 0.6206111545062e+01, 0.7605151500000e-01,
2053       0.4682518370646e-08, 0.5409118796685e+01, 0.1073608853559e+01,
2054       0.5329460015591e-08, 0.1202985784864e+01, 0.7287631425543e+00,
2055       0.5701588675898e-08, 0.4098715257064e+01, 0.8731175355560e-01,
2056       0.6030690867211e-08, 0.4132033218460e+00, 0.9846002785331e+00,
2057 
2058       0.4336256312655e-08, 0.1211415991827e+01, 0.4297791515992e+00,
2059       0.4688498808975e-08, 0.3765479072409e+01, 0.2127790306879e+00,
2060       0.4675578609335e-08, 0.4265540037226e+01, 0.2138191288687e+00,
2061       0.4225578112158e-08, 0.5237566010676e+01, 0.3407705765729e+00,
2062       0.5139422230028e-08, 0.1507173079513e+01, 0.7233337363710e-01,
2063       0.4619995093571e-08, 0.9023957449848e-01, 0.8603097737811e+00,
2064       0.4494776255461e-08, 0.5414930552139e+00, 0.7381754420900e-01,
2065       0.4274026276788e-08, 0.4145735303659e+01, 0.7574578717200e-01,
2066       0.5018141789353e-08, 0.3344408829055e+01, 0.3180992042600e-02,
2067       0.4866163952181e-08, 0.3348534657607e+01, 0.7722995774390e-01,
2068 
2069       0.4111986020501e-08, 0.4198823597220e+00, 0.1451108196653e+00,
2070       0.3356142784950e-08, 0.5609144747180e+01, 0.1274714967946e+00,
2071       0.4070575554551e-08, 0.7028411059224e+00, 0.3503323232942e+00,
2072       0.3257451857278e-08, 0.5624697983086e+01, 0.5296435984654e+00,
2073       0.3256973703026e-08, 0.1857842076707e+01, 0.5297383457582e+00,
2074       0.3830771508640e-08, 0.4562887279931e+01, 0.9098186128426e+00,
2075       0.3725024005962e-08, 0.2358058692652e+00, 0.1084620721060e+00,
2076       0.3136763921756e-08, 0.2049731526845e+01, 0.2346394437820e+00,
2077       0.3795147256194e-08, 0.2432356296933e+00, 0.1862120789403e+00,
2078       0.2877342229911e-08, 0.5631101279387e+01, 0.1905464808669e+01,
2079 
2080       0.3076931798805e-08, 0.1117615737392e+01, 0.3628624111593e+00,
2081       0.2734765945273e-08, 0.5899826516955e+01, 0.2131850110243e+00,
2082       0.2733405296885e-08, 0.2130562964070e+01, 0.2134131485323e+00,
2083       0.2898552353410e-08, 0.3462387048225e+00, 0.5291709230214e+00,
2084       0.2893736103681e-08, 0.8534352781543e+00, 0.5302110212022e+00,
2085       0.3095717734137e-08, 0.2875061429041e+01, 0.2976424921901e+00,
2086       0.2636190425832e-08, 0.2242512846659e+01, 0.1485980103780e+01,
2087       0.3645512095537e-08, 0.1354016903958e+01, 0.6044726378023e+00,
2088       0.2808173547723e-08, 0.6705114365631e-01, 0.6225157782540e-01,
2089       0.2625012866888e-08, 0.4775705748482e+01, 0.5268983110410e-01,
2090 
2091       0.2572233995651e-08, 0.2638924216139e+01, 0.1258454114666e+01,
2092       0.2604238824792e-08, 0.4826358927373e+01, 0.2103781122809e+00,
2093       0.2596886385239e-08, 0.3200388483118e+01, 0.2162200472757e+00,
2094       0.3228057304264e-08, 0.5384848409563e+01, 0.2007689919132e+00,
2095       0.2481601798252e-08, 0.5173373487744e+01, 0.1062562936266e+01,
2096       0.2745977498864e-08, 0.6250966149853e+01, 0.5651155736444e+00,
2097       0.2669878833811e-08, 0.4906001352499e+01, 0.1400015846597e+00,
2098       0.3203986611711e-08, 0.5034333010005e+01, 0.7036329877322e+00,
2099       0.3354961227212e-08, 0.6108262423137e+01, 0.4549093064213e+00,
2100       0.2400407324558e-08, 0.2135399294955e+01, 0.2125476091956e+00,
2101 
2102       0.2379905859802e-08, 0.5893721933961e+01, 0.2140505503610e+00,
2103       0.2550844302187e-08, 0.3331940762063e+01, 0.1534957940063e+00,
2104       0.2268824211001e-08, 0.1843418461035e+01, 0.2235935264888e+00,
2105       0.2464700891204e-08, 0.3029548547230e+01, 0.2091065926078e+00,
2106       0.2436814726024e-08, 0.4994717970364e+01, 0.2174915669488e+00,
2107       0.2443623894745e-08, 0.2645102591375e+01, 0.1739420156204e+00,
2108       0.2318701783838e-08, 0.5700547397897e+01, 0.7530171478090e-01,
2109       0.2284448700256e-08, 0.5268898905872e+01, 0.7426161660010e-01,
2110       0.2468848123510e-08, 0.5276280575078e+01, 0.2526561439362e+00,
2111       0.2814052350303e-08, 0.6130168623475e+01, 0.5636314030725e+00,
2112 
2113       0.2243662755220e-08, 0.6631692457995e+00, 0.8886590321940e-01,
2114       0.2330795855941e-08, 0.2499435487702e+01, 0.1056200952181e+01,
2115       0.9757679038404e-09, 0.5796846023126e+01, 0.7826370942180e+02 };
2116 
2117 /* SSB-to-Sun, T^0, Z */
2118    static const double s0z[] = {
2119       0.1181255122986e-03, 0.4607918989164e+00, 0.2132990797783e+00,
2120       0.1127777651095e-03, 0.4169146331296e+00, 0.5296909721118e+00,
2121       0.4777754401806e-04, 0.4582657007130e+01, 0.3813291813120e-01,
2122       0.1129354285772e-04, 0.5758735142480e+01, 0.7478166569050e-01,
2123      -0.1149543637123e-04, 0.0000000000000e+00, 0.0000000000000e+00,
2124       0.3298730512306e-05, 0.5978801994625e+01, 0.4265981595566e+00,
2125       0.2733376706079e-05, 0.7665413691040e+00, 0.1059381944224e+01,
2126       0.9426389657270e-06, 0.3710201265838e+01, 0.2061856251104e+00,
2127       0.8187517749552e-06, 0.3390675605802e+00, 0.2204125344462e+00,
2128       0.4080447871819e-06, 0.4552296640088e+00, 0.5225775174439e+00,
2129 
2130       0.3169973017028e-06, 0.3445455899321e+01, 0.5368044267797e+00,
2131       0.2438098615549e-06, 0.5664675150648e+01, 0.3664874755930e-01,
2132       0.2601897517235e-06, 0.1931894095697e+01, 0.1495633313810e+00,
2133       0.2314558080079e-06, 0.3666319115574e+00, 0.3961708870310e-01,
2134       0.1962549548002e-06, 0.3167411699020e+01, 0.7626583626240e-01,
2135       0.2180518287925e-06, 0.1544420746580e+01, 0.7113454667900e-02,
2136       0.1451382442868e-06, 0.1583756740070e+01, 0.1102062672231e+00,
2137       0.1358439007389e-06, 0.5239941758280e+01, 0.6398972393349e+00,
2138       0.1050585898028e-06, 0.2266958352859e+01, 0.3163918923335e+00,
2139       0.1050029870186e-06, 0.2711495250354e+01, 0.4194847048887e+00,
2140 
2141       0.9934920679800e-07, 0.1116208151396e+01, 0.1589072916335e+01,
2142       0.1048395331560e-06, 0.3408619600206e+01, 0.1021328554739e+02,
2143       0.8370147196668e-07, 0.3810459401087e+01, 0.2535050500000e-01,
2144       0.7989856510998e-07, 0.3769910473647e+01, 0.7329749511860e-01,
2145       0.5441221655233e-07, 0.2416994903374e+01, 0.1030928125552e+00,
2146       0.4610812906784e-07, 0.5858503336994e+01, 0.4337116142245e+00,
2147       0.3923022803444e-07, 0.3354170010125e+00, 0.1484170571900e-02,
2148       0.2610725582128e-07, 0.5410600646324e+01, 0.6327837846670e+00,
2149       0.2455279767721e-07, 0.6120216681403e+01, 0.1162474756779e+01,
2150       0.2375530706525e-07, 0.6055443426143e+01, 0.1052268489556e+01,
2151 
2152       0.1782967577553e-07, 0.3146108708004e+01, 0.8460828644453e+00,
2153       0.1581687095238e-07, 0.6255496089819e+00, 0.3340612434717e+01,
2154       0.1594657672461e-07, 0.3782604300261e+01, 0.1066495398892e+01,
2155       0.1563448615040e-07, 0.1997775733196e+01, 0.2022531624851e+00,
2156       0.1463624258525e-07, 0.1736316792088e+00, 0.3516457698740e-01,
2157       0.1331585056673e-07, 0.4331941830747e+01, 0.9491756770005e+00,
2158       0.1130634557637e-07, 0.6152017751825e+01, 0.2968341143800e-02,
2159       0.1028949607145e-07, 0.2101792614637e+00, 0.2275259891141e+00,
2160       0.1024074971618e-07, 0.4071833211074e+01, 0.5070101000000e-01,
2161       0.8826956060303e-08, 0.4861633688145e+00, 0.2093666171530e+00,
2162 
2163       0.8572230171541e-08, 0.5268190724302e+01, 0.4110125927500e-01,
2164       0.7649332643544e-08, 0.5134543417106e+01, 0.2608790314060e+02,
2165       0.8581673291033e-08, 0.2920218146681e+01, 0.1480791608091e+00,
2166       0.8430589300938e-08, 0.3604576619108e+01, 0.2172315424036e+00,
2167       0.7776165501012e-08, 0.3772942249792e+01, 0.6373574839730e-01,
2168       0.8311070234408e-08, 0.6200412329888e+01, 0.3235053470014e+00,
2169       0.6927365212582e-08, 0.4543353113437e+01, 0.8531963191132e+00,
2170       0.6791574208598e-08, 0.2882188406238e+01, 0.7181332454670e-01,
2171       0.5593100811839e-08, 0.1776646892780e+01, 0.7429900518901e+00,
2172       0.4553381853021e-08, 0.3949617611240e+01, 0.7775000683430e-01,
2173 
2174       0.5758000450068e-08, 0.3859251775075e+01, 0.1990721704425e+00,
2175       0.4281283457133e-08, 0.1466294631206e+01, 0.2118763888447e+01,
2176       0.4206935661097e-08, 0.5421776011706e+01, 0.1104591729320e-01,
2177       0.4213751641837e-08, 0.3412048993322e+01, 0.2243449970715e+00,
2178       0.5310506239878e-08, 0.5421641370995e+00, 0.5154640627760e+00,
2179       0.3827450341320e-08, 0.8887314524995e+00, 0.1510475019529e+00,
2180       0.4292435241187e-08, 0.1405043757194e+01, 0.1422690933580e-01,
2181       0.3189780702289e-08, 0.1060049293445e+01, 0.1173197218910e+00,
2182       0.3226611928069e-08, 0.6270858897442e+01, 0.2164800718209e+00,
2183       0.2893897608830e-08, 0.5117563223301e+01, 0.6470106940028e+00,
2184 
2185       0.3239852024578e-08, 0.4079092237983e+01, 0.2101180877357e+00,
2186       0.2956892222200e-08, 0.1594917021704e+01, 0.3092784376656e+00,
2187       0.2980177912437e-08, 0.5258787667564e+01, 0.4155522422634e+00,
2188       0.3163725690776e-08, 0.3854589225479e+01, 0.8582758298370e-01,
2189       0.2662262399118e-08, 0.3561326430187e+01, 0.5257585094865e+00,
2190       0.2766689135729e-08, 0.3180732086830e+00, 0.1385174140878e+00,
2191       0.2411600278464e-08, 0.3324798335058e+01, 0.5439178814476e+00,
2192       0.2483527695131e-08, 0.4169069291947e+00, 0.5336234347371e+00,
2193       0.7788777276590e-09, 0.1900569908215e+01, 0.5217580628120e+02 };
2194 
2195 /* SSB-to-Sun, T^1, X */
2196    static const double s1x[] = {
2197      -0.1296310361520e-07, 0.0000000000000e+00, 0.0000000000000e+00,
2198       0.8975769009438e-08, 0.1128891609250e+01, 0.4265981595566e+00,
2199       0.7771113441307e-08, 0.2706039877077e+01, 0.2061856251104e+00,
2200       0.7538303866642e-08, 0.2191281289498e+01, 0.2204125344462e+00,
2201       0.6061384579336e-08, 0.3248167319958e+01, 0.1059381944224e+01,
2202       0.5726994235594e-08, 0.5569981398610e+01, 0.5225775174439e+00,
2203       0.5616492836424e-08, 0.5057386614909e+01, 0.5368044267797e+00,
2204       0.1010881584769e-08, 0.3473577116095e+01, 0.7113454667900e-02,
2205       0.7259606157626e-09, 0.3651858593665e+00, 0.6398972393349e+00,
2206       0.8755095026935e-09, 0.1662835408338e+01, 0.4194847048887e+00,
2207 
2208       0.5370491182812e-09, 0.1327673878077e+01, 0.4337116142245e+00,
2209       0.5743773887665e-09, 0.4250200846687e+01, 0.2132990797783e+00,
2210       0.4408103140300e-09, 0.3598752574277e+01, 0.1589072916335e+01,
2211       0.3101892374445e-09, 0.4887822983319e+01, 0.1052268489556e+01,
2212       0.3209453713578e-09, 0.9702272295114e+00, 0.5296909721118e+00,
2213       0.3017228286064e-09, 0.5484462275949e+01, 0.1066495398892e+01,
2214       0.3200700038601e-09, 0.2846613338643e+01, 0.1495633313810e+00,
2215       0.2137637279911e-09, 0.5692163292729e+00, 0.3163918923335e+00,
2216       0.1899686386727e-09, 0.2061077157189e+01, 0.2275259891141e+00,
2217       0.1401994545308e-09, 0.4177771136967e+01, 0.1102062672231e+00,
2218 
2219       0.1578057810499e-09, 0.5782460597335e+01, 0.7626583626240e-01,
2220       0.1237713253351e-09, 0.5705900866881e+01, 0.5154640627760e+00,
2221       0.1313076837395e-09, 0.5163438179576e+01, 0.3664874755930e-01,
2222       0.1184963304860e-09, 0.3054804427242e+01, 0.6327837846670e+00,
2223       0.1238130878565e-09, 0.2317292575962e+01, 0.3961708870310e-01,
2224       0.1015959527736e-09, 0.2194643645526e+01, 0.7329749511860e-01,
2225       0.9017954423714e-10, 0.2868603545435e+01, 0.1990721704425e+00,
2226       0.8668024955603e-10, 0.4923849675082e+01, 0.5439178814476e+00,
2227       0.7756083930103e-10, 0.3014334135200e+01, 0.9491756770005e+00,
2228       0.7536503401741e-10, 0.2704886279769e+01, 0.1030928125552e+00,
2229 
2230       0.5483308679332e-10, 0.6010983673799e+01, 0.8531963191132e+00,
2231       0.5184339620428e-10, 0.1952704573291e+01, 0.2093666171530e+00,
2232       0.5108658712030e-10, 0.2958575786649e+01, 0.2172315424036e+00,
2233       0.5019424524650e-10, 0.1736317621318e+01, 0.2164800718209e+00,
2234       0.4909312625978e-10, 0.3167216416257e+01, 0.2101180877357e+00,
2235       0.4456638901107e-10, 0.7697579923471e+00, 0.3235053470014e+00,
2236       0.4227030350925e-10, 0.3490910137928e+01, 0.6373574839730e-01,
2237       0.4095456040093e-10, 0.5178888984491e+00, 0.6470106940028e+00,
2238       0.4990537041422e-10, 0.3323887668974e+01, 0.1422690933580e-01,
2239       0.4321170010845e-10, 0.4288484987118e+01, 0.7358765972222e+00,
2240 
2241       0.3544072091802e-10, 0.6021051579251e+01, 0.5265099800692e+00,
2242       0.3480198638687e-10, 0.4600027054714e+01, 0.5328719641544e+00,
2243       0.3440287244435e-10, 0.4349525970742e+01, 0.8582758298370e-01,
2244       0.3330628322713e-10, 0.2347391505082e+01, 0.1104591729320e-01,
2245       0.2973060707184e-10, 0.4789409286400e+01, 0.5257585094865e+00,
2246       0.2932606766089e-10, 0.5831693799927e+01, 0.5336234347371e+00,
2247       0.2876972310953e-10, 0.2692638514771e+01, 0.1173197218910e+00,
2248       0.2827488278556e-10, 0.2056052487960e+01, 0.2022531624851e+00,
2249       0.2515028239756e-10, 0.7411863262449e+00, 0.9597935788730e-01,
2250       0.2853033744415e-10, 0.3948481024894e+01, 0.2118763888447e+01 };
2251 
2252 /* SSB-to-Sun, T^1, Y */
2253    static const double s1y[] = {
2254       0.8989047573576e-08, 0.5840593672122e+01, 0.4265981595566e+00,
2255       0.7815938401048e-08, 0.1129664707133e+01, 0.2061856251104e+00,
2256       0.7550926713280e-08, 0.6196589104845e+00, 0.2204125344462e+00,
2257       0.6056556925895e-08, 0.1677494667846e+01, 0.1059381944224e+01,
2258       0.5734142698204e-08, 0.4000920852962e+01, 0.5225775174439e+00,
2259       0.5614341822459e-08, 0.3486722577328e+01, 0.5368044267797e+00,
2260       0.1028678147656e-08, 0.1877141024787e+01, 0.7113454667900e-02,
2261       0.7270792075266e-09, 0.5077167301739e+01, 0.6398972393349e+00,
2262       0.8734141726040e-09, 0.9069550282609e-01, 0.4194847048887e+00,
2263       0.5377371402113e-09, 0.6039381844671e+01, 0.4337116142245e+00,
2264 
2265       0.4729719431571e-09, 0.2153086311760e+01, 0.2132990797783e+00,
2266       0.4458052820973e-09, 0.5059830025565e+01, 0.5296909721118e+00,
2267       0.4406855467908e-09, 0.2027971692630e+01, 0.1589072916335e+01,
2268       0.3101659310977e-09, 0.3317677981860e+01, 0.1052268489556e+01,
2269       0.3016749232545e-09, 0.3913703482532e+01, 0.1066495398892e+01,
2270       0.3198541352656e-09, 0.1275513098525e+01, 0.1495633313810e+00,
2271       0.2142065389871e-09, 0.5301351614597e+01, 0.3163918923335e+00,
2272       0.1902615247592e-09, 0.4894943352736e+00, 0.2275259891141e+00,
2273       0.1613410990871e-09, 0.2449891130437e+01, 0.1102062672231e+00,
2274       0.1576992165097e-09, 0.4211421447633e+01, 0.7626583626240e-01,
2275 
2276       0.1241637259894e-09, 0.4140803368133e+01, 0.5154640627760e+00,
2277       0.1313974830355e-09, 0.3591920305503e+01, 0.3664874755930e-01,
2278       0.1181697118258e-09, 0.1506314382788e+01, 0.6327837846670e+00,
2279       0.1238239742779e-09, 0.7461405378404e+00, 0.3961708870310e-01,
2280       0.1010107068241e-09, 0.6271010795475e+00, 0.7329749511860e-01,
2281       0.9226316616509e-10, 0.1259158839583e+01, 0.1990721704425e+00,
2282       0.8664946419555e-10, 0.3353244696934e+01, 0.5439178814476e+00,
2283       0.7757230468978e-10, 0.1447677295196e+01, 0.9491756770005e+00,
2284       0.7693168628139e-10, 0.1120509896721e+01, 0.1030928125552e+00,
2285       0.5487897454612e-10, 0.4439380426795e+01, 0.8531963191132e+00,
2286 
2287       0.5196118677218e-10, 0.3788856619137e+00, 0.2093666171530e+00,
2288       0.5110853339935e-10, 0.1386879372016e+01, 0.2172315424036e+00,
2289       0.5027804534813e-10, 0.1647881805466e+00, 0.2164800718209e+00,
2290       0.4922485922674e-10, 0.1594315079862e+01, 0.2101180877357e+00,
2291       0.6155599524400e-10, 0.0000000000000e+00, 0.0000000000000e+00,
2292       0.4447147832161e-10, 0.5480720918976e+01, 0.3235053470014e+00,
2293       0.4144691276422e-10, 0.1931371033660e+01, 0.6373574839730e-01,
2294       0.4099950625452e-10, 0.5229611294335e+01, 0.6470106940028e+00,
2295       0.5060541682953e-10, 0.1731112486298e+01, 0.1422690933580e-01,
2296       0.4293615946300e-10, 0.2714571038925e+01, 0.7358765972222e+00,
2297 
2298       0.3545659845763e-10, 0.4451041444634e+01, 0.5265099800692e+00,
2299       0.3479112041196e-10, 0.3029385448081e+01, 0.5328719641544e+00,
2300       0.3438516493570e-10, 0.2778507143731e+01, 0.8582758298370e-01,
2301       0.3297341285033e-10, 0.7898709807584e+00, 0.1104591729320e-01,
2302       0.2972585818015e-10, 0.3218785316973e+01, 0.5257585094865e+00,
2303       0.2931707295017e-10, 0.4260731012098e+01, 0.5336234347371e+00,
2304       0.2897198149403e-10, 0.1120753978101e+01, 0.1173197218910e+00,
2305       0.2832293240878e-10, 0.4597682717827e+00, 0.2022531624851e+00,
2306       0.2864348326612e-10, 0.2169939928448e+01, 0.9597935788730e-01,
2307       0.2852714675471e-10, 0.2377659870578e+01, 0.2118763888447e+01 };
2308 
2309 /* SSB-to-Sun, T^1, Z */
2310    static const double s1z[] = {
2311       0.5444220475678e-08, 0.1803825509310e+01, 0.2132990797783e+00,
2312       0.3883412695596e-08, 0.4668616389392e+01, 0.5296909721118e+00,
2313       0.1334341434551e-08, 0.0000000000000e+00, 0.0000000000000e+00,
2314       0.3730001266883e-09, 0.5401405918943e+01, 0.2061856251104e+00,
2315       0.2894929197956e-09, 0.4932415609852e+01, 0.2204125344462e+00,
2316       0.2857950357701e-09, 0.3154625362131e+01, 0.7478166569050e-01,
2317       0.2499226432292e-09, 0.3657486128988e+01, 0.4265981595566e+00,
2318       0.1937705443593e-09, 0.5740434679002e+01, 0.1059381944224e+01,
2319       0.1374894396320e-09, 0.1712857366891e+01, 0.5368044267797e+00,
2320       0.1217248678408e-09, 0.2312090870932e+01, 0.5225775174439e+00,
2321 
2322       0.7961052740870e-10, 0.5283368554163e+01, 0.3813291813120e-01,
2323       0.4979225949689e-10, 0.4298290471860e+01, 0.4194847048887e+00,
2324       0.4388552286597e-10, 0.6145515047406e+01, 0.7113454667900e-02,
2325       0.2586835212560e-10, 0.3019448001809e+01, 0.6398972393349e+00 };
2326 
2327 /* SSB-to-Sun, T^2, X */
2328    static const double s2x[] = {
2329       0.1603551636587e-11, 0.4404109410481e+01, 0.2061856251104e+00,
2330       0.1556935889384e-11, 0.4818040873603e+00, 0.2204125344462e+00,
2331       0.1182594414915e-11, 0.9935762734472e+00, 0.5225775174439e+00,
2332       0.1158794583180e-11, 0.3353180966450e+01, 0.5368044267797e+00,
2333       0.9597358943932e-12, 0.5567045358298e+01, 0.2132990797783e+00,
2334       0.6511516579605e-12, 0.5630872420788e+01, 0.4265981595566e+00,
2335       0.7419792747688e-12, 0.2156188581957e+01, 0.5296909721118e+00,
2336       0.3951972655848e-12, 0.1981022541805e+01, 0.1059381944224e+01,
2337       0.4478223877045e-12, 0.0000000000000e+00, 0.0000000000000e+00 };
2338 
2339 /* SSB-to-Sun, T^2, Y */
2340    static const double s2y[] = {
2341       0.1609114495091e-11, 0.2831096993481e+01, 0.2061856251104e+00,
2342       0.1560330784946e-11, 0.5193058213906e+01, 0.2204125344462e+00,
2343       0.1183535479202e-11, 0.5707003443890e+01, 0.5225775174439e+00,
2344       0.1158183066182e-11, 0.1782400404928e+01, 0.5368044267797e+00,
2345       0.1032868027407e-11, 0.4036925452011e+01, 0.2132990797783e+00,
2346       0.6540142847741e-12, 0.4058241056717e+01, 0.4265981595566e+00,
2347       0.7305236491596e-12, 0.6175401942957e+00, 0.5296909721118e+00,
2348      -0.5580725052968e-12, 0.0000000000000e+00, 0.0000000000000e+00,
2349       0.3946122651015e-12, 0.4108265279171e+00, 0.1059381944224e+01 };
2350 
2351 /* SSB-to-Sun, T^2, Z */
2352    static const double s2z[] = {
2353       0.3749920358054e-12, 0.3230285558668e+01, 0.2132990797783e+00,
2354       0.2735037220939e-12, 0.6154322683046e+01, 0.5296909721118e+00 };
2355 
2356 /* Pointers to coefficient arrays, in x,y,z sets */
2357    static const double *ce0[] = { e0x, e0y, e0z },
2358                        *ce1[] = { e1x, e1y, e1z },
2359                        *ce2[] = { e2x, e2y, e2z },
2360                        *cs0[] = { s0x, s0y, s0z },
2361                        *cs1[] = { s1x, s1y, s1z },
2362                        *cs2[] = { s2x, s2y, s2z };
2363    const double *coeffs;
2364 
2365 /* Numbers of terms for each component of the model, in x,y,z sets */
2366    static const int ne0[3] = {(int)(sizeof e0x / sizeof (double) / 3),
2367                               (int)(sizeof e0y / sizeof (double) / 3),
2368                               (int)(sizeof e0z / sizeof (double) / 3) },
2369                     ne1[3] = {(int)(sizeof e1x / sizeof (double) / 3),
2370                               (int)(sizeof e1y / sizeof (double) / 3),
2371                               (int)(sizeof e1z / sizeof (double) / 3) },
2372                     ne2[3] = {(int)(sizeof e2x / sizeof (double) / 3),
2373                               (int)(sizeof e2y / sizeof (double) / 3),
2374                               (int)(sizeof e2z / sizeof (double) / 3) },
2375                     ns0[3] = {(int)(sizeof s0x / sizeof (double) / 3),
2376                               (int)(sizeof s0y / sizeof (double) / 3),
2377                               (int)(sizeof s0z / sizeof (double) / 3) },
2378                     ns1[3] = {(int)(sizeof s1x / sizeof (double) / 3),
2379                               (int)(sizeof s1y / sizeof (double) / 3),
2380                               (int)(sizeof s1z / sizeof (double) / 3) },
2381                     ns2[3] = {(int)(sizeof s2x / sizeof (double) / 3),
2382                               (int)(sizeof s2y / sizeof (double) / 3),
2383                               (int)(sizeof s2z / sizeof (double) / 3) };
2384    int nterms;
2385 
2386 /* Miscellaneous */
2387    int jstat, i, j;
2388    double t, t2, xyz, xyzd, a, b, c, ct, p, cp,
2389           ph[3], vh[3], pb[3], vb[3], x, y, z;
2390 
2391 /* ------------------------------------------------------------------ */
2392 
2393 /* Time since reference epoch, Julian years. */
2394    t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJY;
2395    t2 = t*t;
2396 
2397 /* Set status. */
2398    jstat = fabs(t) <= 100.0 ? 0 : 1;
2399 
2400 /* X then Y then Z. */
2401    for (i = 0; i < 3; i++) {
2402 
2403    /* Initialize position and velocity component. */
2404       xyz = 0.0;
2405       xyzd = 0.0;
2406 
2407    /* ------------------------------------------------ */
2408    /* Obtain component of Sun to Earth ecliptic vector */
2409    /* ------------------------------------------------ */
2410 
2411    /* Sun to Earth, T^0 terms. */
2412       coeffs = ce0[i];
2413       nterms = ne0[i];
2414       for (j = 0; j < nterms; j++) {
2415          a = *coeffs++;
2416          b = *coeffs++;
2417          c = *coeffs++;
2418          p = b + c*t;
2419          xyz  += a*cos(p);
2420          xyzd -= a*c*sin(p);
2421       }
2422 
2423    /* Sun to Earth, T^1 terms. */
2424       coeffs = ce1[i];
2425       nterms = ne1[i];
2426       for (j = 0; j < nterms; j++) {
2427          a = *coeffs++;
2428          b = *coeffs++;
2429          c = *coeffs++;
2430          ct = c*t;
2431          p = b + ct;
2432          cp = cos(p);
2433          xyz  += a*t*cp;
2434          xyzd += a*( cp - ct*sin(p) );
2435       }
2436 
2437    /* Sun to Earth, T^2 terms. */
2438       coeffs = ce2[i];
2439       nterms = ne2[i];
2440       for (j = 0; j < nterms; j++) {
2441          a = *coeffs++;
2442          b = *coeffs++;
2443          c = *coeffs++;
2444          ct = c*t;
2445          p = b + ct;
2446          cp = cos(p);
2447          xyz  += a*t2*cp;
2448          xyzd += a*t*( 2.0*cp - ct*sin(p) );
2449       }
2450 
2451    /* Heliocentric Earth position and velocity component. */
2452       ph[i] = xyz;
2453       vh[i] = xyzd / ERFA_DJY;
2454 
2455    /* ------------------------------------------------ */
2456    /* Obtain component of SSB to Earth ecliptic vector */
2457    /* ------------------------------------------------ */
2458 
2459    /* SSB to Sun, T^0 terms. */
2460       coeffs = cs0[i];
2461       nterms = ns0[i];
2462       for (j = 0; j < nterms; j++) {
2463          a = *coeffs++;
2464          b = *coeffs++;
2465          c = *coeffs++;
2466          p = b + c*t;
2467          xyz  += a*cos(p);
2468          xyzd -= a*c*sin(p);
2469       }
2470 
2471    /* SSB to Sun, T^1 terms. */
2472       coeffs = cs1[i];
2473       nterms = ns1[i];
2474       for (j = 0; j < nterms; j++) {
2475          a = *coeffs++;
2476          b = *coeffs++;
2477          c = *coeffs++;
2478          ct = c*t;
2479          p = b + ct;
2480          cp = cos(p);
2481          xyz  += a*t*cp;
2482          xyzd += a*(cp - ct*sin(p));
2483       }
2484 
2485    /* SSB to Sun, T^2 terms. */
2486       coeffs = cs2[i];
2487       nterms = ns2[i];
2488       for (j = 0; j < nterms; j++) {
2489          a = *coeffs++;
2490          b = *coeffs++;
2491          c = *coeffs++;
2492          ct = c*t;
2493          p = b + ct;
2494          cp = cos(p);
2495          xyz  += a*t2*cp;
2496          xyzd += a*t*(2.0*cp - ct*sin(p));
2497      }
2498 
2499    /* Barycentric Earth position and velocity component. */
2500      pb[i] = xyz;
2501      vb[i] = xyzd / ERFA_DJY;
2502 
2503    /* Next Cartesian component. */
2504    }
2505 
2506 /* Rotate from ecliptic to BCRS coordinates. */
2507 
2508    x = ph[0];
2509    y = ph[1];
2510    z = ph[2];
2511    pvh[0][0] =      x + am12*y + am13*z;
2512    pvh[0][1] = am21*x + am22*y + am23*z;
2513    pvh[0][2] =          am32*y + am33*z;
2514 
2515    x = vh[0];
2516    y = vh[1];
2517    z = vh[2];
2518    pvh[1][0] =      x + am12*y + am13*z;
2519    pvh[1][1] = am21*x + am22*y + am23*z;
2520    pvh[1][2] =          am32*y + am33*z;
2521 
2522    x = pb[0];
2523    y = pb[1];
2524    z = pb[2];
2525    pvb[0][0] =      x + am12*y + am13*z;
2526    pvb[0][1] = am21*x + am22*y + am23*z;
2527    pvb[0][2] =          am32*y + am33*z;
2528 
2529    x = vb[0];
2530    y = vb[1];
2531    z = vb[2];
2532    pvb[1][0] =      x + am12*y + am13*z;
2533    pvb[1][1] = am21*x + am22*y + am23*z;
2534    pvb[1][2] =          am32*y + am33*z;
2535 
2536 /* Return the status. */
2537    return jstat;
2538 
2539 /* Finished. */
2540 
2541 }
2542 /*----------------------------------------------------------------------
2543 **
2544 **
2545 **  Copyright (C) 2013-2021, NumFOCUS Foundation.
2546 **  All rights reserved.
2547 **
2548 **  This library is derived, with permission, from the International
2549 **  Astronomical Union's "Standards of Fundamental Astronomy" library,
2550 **  available from http://www.iausofa.org.
2551 **
2552 **  The ERFA version is intended to retain identical functionality to
2553 **  the SOFA library, but made distinct through different function and
2554 **  file names, as set out in the SOFA license conditions.  The SOFA
2555 **  original has a role as a reference standard for the IAU and IERS,
2556 **  and consequently redistribution is permitted only in its unaltered
2557 **  state.  The ERFA version is not subject to this restriction and
2558 **  therefore can be included in distributions which do not support the
2559 **  concept of "read only" software.
2560 **
2561 **  Although the intent is to replicate the SOFA API (other than
2562 **  replacement of prefix names) and results (with the exception of
2563 **  bugs;  any that are discovered will be fixed), SOFA is not
2564 **  responsible for any errors found in this version of the library.
2565 **
2566 **  If you wish to acknowledge the SOFA heritage, please acknowledge
2567 **  that you are using a library derived from SOFA, rather than SOFA
2568 **  itself.
2569 **
2570 **
2571 **  TERMS AND CONDITIONS
2572 **
2573 **  Redistribution and use in source and binary forms, with or without
2574 **  modification, are permitted provided that the following conditions
2575 **  are met:
2576 **
2577 **  1 Redistributions of source code must retain the above copyright
2578 **    notice, this list of conditions and the following disclaimer.
2579 **
2580 **  2 Redistributions in binary form must reproduce the above copyright
2581 **    notice, this list of conditions and the following disclaimer in
2582 **    the documentation and/or other materials provided with the
2583 **    distribution.
2584 **
2585 **  3 Neither the name of the Standards Of Fundamental Astronomy Board,
2586 **    the International Astronomical Union nor the names of its
2587 **    contributors may be used to endorse or promote products derived
2588 **    from this software without specific prior written permission.
2589 **
2590 **  THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
2591 **  "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
2592 **  LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
2593 **  FOR A PARTICULAR PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE
2594 **  COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
2595 **  INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
2596 **  BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
2597 **  LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
2598 **  CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
2599 **  LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
2600 **  ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
2601 **  POSSIBILITY OF SUCH DAMAGE.
2602 **
2603 */
2604