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primitivepolynomials.cpp
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1/* -*- mode: c; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
2
3/* This file contains 21200 polinomials, that is all primitive polynomials
4 modulo two up to degree 18. Another version does contain
5 8129334 polinomials, that is all primitive polynomials
6 modulo two up to degree 27. Both are slightly edited versions of
7 PrimitivePolynomialsModuloTwoUpToDegree27.c
8
9 © 2002 "Monte Carlo Methods in Finance"
10
11
12 =========================================================================
13 Copyright (C) 2002 Peter Jäckel "Monte Carlo Methods in Finance".
14 All rights reserved.
15
16 Permission to use, copy, modify, and distribute this software is freely
17 granted, provided that this notice is preserved.
18 =========================================================================
19*/
20
22
23static const long PrimitivePolynomialDegree01[]={
240, /* x+1 (1)(1) */
25-1 };
26
27#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_01
28static const long PrimitivePolynomialDegree02[]={
291, /* x^2+x+1 (1)1(1) */
30-1 };
31#endif
32
33#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_02
34static const long PrimitivePolynomialDegree03[]={
351, /* x^3 +x+1 (1)01(1) */
362, /* x^3+x^2 +1 (1)10(1) */
37-1 };
38#endif
39
40#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_03
41static const long PrimitivePolynomialDegree04[]={
421, /* x^4+ +x+1 (1)001(1) */
434, /* x^4+x^3+ +1 (1)100(1) */
44-1 };
45#endif
46
47#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_04
48static const long PrimitivePolynomialDegree05[]={
492, /* x^5 +x^2 +1 (1)0010(1) */
504, /* x^5 +x^3 +1 (1)0100(1) */
517, /* x^5 +x^3+x^2+x+1 (1)0111(1) */
5211, /* x^5+x^4 +x^2+x+1 (1)1011(1) */
5313, /* x^5+x^4+x^3 +x+1 (1)1101(1) */
5414, /* x^5+x^4+x^3+x^2 +1 (1)1110(1) */
55-1 };
56#endif
57
58#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_05
59static const long PrimitivePolynomialDegree06[]={
601, /* x^6 +x+1 (1)00001(1) */
6113, /* x^6 +x^4+x^3 +x+1 (1)01101(1) */
6216, /* x^6+x^5 +1 (1)10000(1) */
6319, /* x^6 +x^2+x+1 (1)10011(1) */
6422, /* x^6+x^5 +x^3+x^2 +1 (1)10110(1) */
6525, /* x^6+x^5+x^4 +x+1 (1)11001(1) */
66-1 };
67#endif
68
69#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_06
70static const long PrimitivePolynomialDegree07[]={
711, /* x^7 +x+1 (1)000001(1) */
724, /* x^7 +x^3 +1 (1)000100(1) */
737, /* x^7 +x^3+x^2+x+1 (1)000111(1) */
748, /* x^7 +x^4 +1 (1)001000(1) */
7514, /* x^7 +x^4+x^3+x^2 +1 (1)001110(1) */
7619, /* x^7 +x^5 +x^2+x+1 (1)010011(1) */
7721, /* x^7 +x^5 +x^3 +x+1 (1)010101(1) */
7828, /* x^7 +x^5+x^4+x^3 +1 (1)011100(1) */
7931, /* x^7 +x^5+x^4+x^3+x^2+x+1 (1)011111(1) */
8032, /* x^7+x^6 +1 (1)100000(1) */
8137, /* x^7+x^6 +x^3 +x+1 (1)100101(1) */
8241, /* x^7+x^6 +x^4 +x+1 (1)101001(1) */
8342, /* x^7+x^6 +x^4 +x^2 +1 (1)101010(1) */
84/* 32 polynomials so far ... let's go ahead */
8550, /* x^7+x^6+x^5 +x^2 +1 (1)110010(1) */
8655, /* x^7+x^6+x^5 +x^3+x^2+x+1 (1)110111(1) */
8756, /* x^7+x^6+x^5+x^4 +1 (1)111000(1) */
8859, /* x^7+x^6+x^5+x^4 +x^2+x+1 (1)111011(1) */
8962, /* x^7+x^6+x^5+x^4+x^3+x^2 +1 (1)111110(1) */
90-1 };
91#endif
92
93#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_07
94static const long PrimitivePolynomialDegree08[]={
9514,
9621,
9722,
9838,
9947,
10049,
10150,
10252,
10356,
10467,
10570,
10684,
10797,
108103,
109115,
110122,
111-1 };
112#endif
113
114#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_08
115static const long PrimitivePolynomialDegree09[]={
1168,
11713,
11816,
11922,
12025,
12144,
12247,
12352,
12455,
12559,
12662,
12767,
12874,
12981,
13082,
13187,
13291,
13394,
134103,
135104,
136109,
137122,
138124,
139137,
140138,
141143,
142145,
143152,
144157,
145167,
146173,
147176,
148181,
149182,
150185,
151191,
152194,
153199,
154218,
155220,
156227,
157229,
158230,
159234,
160236,
161241,
162244,
163253,
164-1 };
165#endif
166
167#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_09
168static const long PrimitivePolynomialDegree10[]={
1694,
17013,
17119,
17222,
17350,
17455,
17564,
17669,
17798,
178107,
179115,
180121,
181127,
182134,
183140,
184145,
185152,
186158,
187161,
188171,
189181,
190194,
191199,
192203,
193208,
194227,
195242,
196251,
197253,
198265,
199266,
200274,
201283,
202289,
203295,
204301,
205316,
206319,
207324,
208346,
209352,
210361,
211367,
212382,
213395,
214398,
215400,
216412,
217419,
218422,
219426,
220428,
221433,
222446,
223454,
224457,
225472,
226493,
227505,
228508,
229-1 };
230#endif
231
232#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_10
233static const long PrimitivePolynomialDegree11[]={
2342,
23511,
23621,
23722,
23835,
23949,
24050,
24156,
24261,
24370,
24474,
24579,
24684,
24788,
248103,
249104,
250112,
251115,
252117,
253122,
254134,
255137,
256146,
257148,
258157,
259158,
260162,
261164,
262168,
263173,
264185,
265186,
266191,
267193,
268199,
269213,
270214,
271220,
272227,
273236,
274242,
275251,
276256,
277259,
278265,
279266,
280276,
281292,
282304,
283310,
284316,
285319,
286322,
287328,
288334,
289339,
290341,
291345,
292346,
293362,
294367,
295372,
296375,
297376,
298381,
299385,
300388,
301392,
302409,
303415,
304416,
305421,
306428,
307431,
308434,
309439,
310446,
311451,
312453,
313457,
314458,
315471,
316475,
317478,
318484,
319493,
320494,
321499,
322502,
323517,
324518,
325524,
326527,
327555,
328560,
329565,
330569,
331578,
332580,
333587,
334589,
335590,
336601,
337607,
338611,
339614,
340617,
341618,
342625,
343628,
344635,
345641,
346647,
347654,
348659,
349662,
350672,
351675,
352682,
353684,
354689,
355695,
356696,
357713,
358719,
359724,
360733,
361734,
362740,
363747,
364749,
365752,
366755,
367762,
368770,
369782,
370784,
371787,
372789,
373793,
374796,
375803,
376805,
377810,
378815,
379824,
380829,
381830,
382832,
383841,
384847,
385849,
386861,
387871,
388878,
389889,
390892,
391901,
392908,
393920,
394923,
395942,
396949,
397950,
398954,
399961,
400968,
401971,
402973,
403979,
404982,
405986,
406998,
4071001,
4081010,
4091012,
410-1 };
411#endif
412
413#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_11
414static const long PrimitivePolynomialDegree12[]={
41541,
41652,
41761,
41862,
41976,
420104,
421117,
422131,
423143,
424145,
425157,
426167,
427171,
428176,
429181,
430194,
431217,
432236,
433239,
434262,
435283,
436286,
437307,
438313,
439319,
440348,
441352,
442357,
443391,
444398,
445400,
446412,
447415,
448422,
449440,
450460,
451465,
452468,
453515,
454536,
455539,
456551,
457558,
458563,
459570,
460595,
461598,
462617,
463647,
464654,
465678,
466713,
467738,
468747,
469750,
470757,
471772,
472803,
473810,
474812,
475850,
476862,
477906,
478908,
479929,
480930,
481954,
482964,
483982,
484985,
485991,
486992,
4871067,
4881070,
4891096,
4901099,
4911116,
4921143,
4931165,
4941178,
4951184,
4961202,
4971213,
4981221,
4991240,
5001246,
5011252,
5021255,
5031267,
5041293,
5051301,
5061305,
5071332,
5081349,
5091384,
5101392,
5111402,
5121413,
5131417,
5141423,
5151451,
5161480,
5171491,
5181503,
5191504,
5201513,
5211538,
5221544,
5231547,
5241555,
5251574,
5261603,
5271615,
5281618,
5291629,
5301634,
5311636,
5321639,
5331657,
5341667,
5351681,
5361697,
5371704,
5381709,
5391722,
5401730,
5411732,
5421802,
5431804,
5441815,
5451826,
5461832,
5471843,
5481849,
5491863,
5501905,
5511928,
5521933,
5531939,
5541976,
5551996,
5562013,
5572014,
5582020,
559-1 };
560#endif
561
562#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_12
563static const long PrimitivePolynomialDegree13[]={
56413,
56519,
56626,
56741,
56850,
56955,
57069,
57170,
57279,
57382,
57487,
57593,
57694,
57797,
578100,
579112,
580121,
581134,
582138,
583148,
584151,
585157,
586161,
587179,
588181,
589188,
590196,
591203,
592206,
593223,
594224,
595227,
596230,
597239,
598241,
599248,
600253,
601268,
602274,
603283,
604286,
605289,
606301,
607302,
608316,
609319,
610324,
611331,
612333,
613345,
614351,
615358,
616375,
617379,
618381,
619386,
620403,
621405,
622419,
623426,
624428,
625439,
626440,
627446,
628451,
629454,
630458,
631465,
632468,
633472,
634475,
635477,
636496,
637502,
638508,
639517,
640521,
641527,
642530,
643532,
644542,
645552,
646555,
647560,
648566,
649575,
650577,
651589,
652590,
653602,
654607,
655608,
656611,
657613,
658625,
659644,
660651,
661654,
662656,
663662,
664668,
665681,
666682,
667689,
668696,
669699,
670707,
671709,
672714,
673716,
674719,
675727,
676734,
677738,
678743,
679747,
680757,
681769,
682770,
683776,
684790,
685799,
686805,
687809,
688812,
689820,
690827,
691829,
692835,
693841,
694844,
695856,
696859,
697862,
698865,
699885,
700890,
701905,
702916,
703925,
704935,
705939,
706942,
707949,
708953,
709956,
710961,
711968,
712976,
713988,
714995,
715997,
7161007,
7171015,
7181016,
7191027,
7201036,
7211039,
7221041,
7231048,
7241053,
7251054,
7261058,
7271075,
7281082,
7291090,
7301109,
7311110,
7321119,
7331126,
7341130,
7351135,
7361137,
7371140,
7381149,
7391156,
7401159,
7411160,
7421165,
7431173,
7441178,
7451183,
7461184,
7471189,
7481194,
7491211,
7501214,
7511216,
7521225,
7531231,
7541239,
7551243,
7561246,
7571249,
7581259,
7591273,
7601274,
7611281,
7621287,
7631294,
7641296,
7651305,
7661306,
7671318,
7681332,
7691335,
7701336,
7711341,
7721342,
7731362,
7741364,
7751368,
7761378,
7771387,
7781389,
7791397,
7801401,
7811408,
7821418,
7831425,
7841426,
7851431,
7861435,
7871441,
7881444,
7891462,
7901471,
7911474,
7921483,
7931485,
7941494,
7951497,
7961516,
7971522,
7981534,
7991543,
8001552,
8011557,
8021558,
8031567,
8041568,
8051574,
8061592,
8071605,
8081606,
8091610,
8101617,
8111623,
8121630,
8131634,
8141640,
8151643,
8161648,
8171651,
8181653,
8191670,
8201676,
8211684,
8221687,
8231691,
8241693,
8251698,
8261709,
8271715,
8281722,
8291732,
8301735,
8311747,
8321749,
8331754,
8341777,
8351784,
8361790,
8371795,
8381801,
8391802,
8401812,
8411828,
8421831,
8431837,
8441838,
8451840,
8461845,
8471863,
8481864,
8491867,
8501870,
8511877,
8521881,
8531884,
8541903,
8551917,
8561918,
8571922,
8581924,
8591928,
8601931,
8611951,
8621952,
8631957,
8641958,
8651964,
8661967,
8671970,
8681972,
8691994,
8702002,
8712007,
8722008,
8732023,
8742030,
8752035,
8762038,
8772042,
8782047,
8792051,
8802058,
8812060,
8822071,
8832084,
8842087,
8852099,
8862108,
8872111,
8882120,
8892128,
8902138,
8912143,
8922144,
8932153,
8942156,
8952162,
8962167,
8972178,
8982183,
8992202,
9002211,
9012214,
9022223,
9032225,
9042232,
9052237,
9062257,
9072260,
9082267,
9092274,
9102276,
9112285,
9122288,
9132293,
9142294,
9152297,
9162303,
9172308,
9182311,
9192318,
9202323,
9212332,
9222341,
9232345,
9242348,
9252354,
9262368,
9272377,
9282380,
9292383,
9302388,
9312395,
9322397,
9332401,
9342411,
9352413,
9362419,
9372435,
9382442,
9392455,
9402472,
9412478,
9422490,
9432507,
9442509,
9452517,
9462524,
9472528,
9482531,
9492538,
9502545,
9512546,
9522555,
9532557,
9542564,
9552573,
9562579,
9572592,
9582598,
9592607,
9602612,
9612619,
9622621,
9632627,
9642633,
9652636,
9662642,
9672654,
9682660,
9692669,
9702675,
9712684,
9722694,
9732703,
9742706,
9752712,
9762715,
9772722,
9782727,
9792734,
9802742,
9812745,
9822751,
9832766,
9842768,
9852780,
9862790,
9872794,
9882796,
9892801,
9902804,
9912807,
9922816,
9932821,
9942831,
9952834,
9962839,
9972845,
9982852,
9992856,
10002861,
10012873,
10022874,
10032888,
10042893,
10052894,
10062902,
10072917,
10082921,
10092922,
10102929,
10112935,
10122946,
10132951,
10142957,
10152960,
10162966,
10172972,
10182976,
10192979,
10202985,
10213000,
10223003,
10233013,
10243018,
10253020,
10263025,
10273042,
10283047,
10293048,
10303051,
10313054,
10323056,
10333065,
10343073,
10353074,
10363083,
10373086,
10383091,
10393097,
10403109,
10413116,
10423124,
10433128,
10443153,
10453160,
10463165,
10473172,
10483175,
10493184,
10503193,
10513196,
10523200,
10533203,
10543205,
10553209,
10563224,
10573239,
10583251,
10593254,
10603265,
10613266,
10623275,
10633280,
10643283,
10653286,
10663301,
10673302,
10683305,
10693319,
10703323,
10713326,
10723331,
10733348,
10743351,
10753358,
10763368,
10773374,
10783376,
10793379,
10803385,
10813386,
10823396,
10833420,
10843423,
10853430,
10863433,
10873434,
10883439,
10893442,
10903444,
10913453,
10923464,
10933477,
10943478,
10953482,
10963487,
10973497,
10983500,
10993505,
11003506,
11013511,
11023512,
11033515,
11043525,
11053532,
11063538,
11073540,
11083547,
11093549,
11103560,
11113571,
11123577,
11133583,
11143590,
11153593,
11163594,
11173599,
11183601,
11193602,
11203613,
11213623,
11223630,
11233638,
11243649,
11253655,
11263662,
11273667,
11283669,
11293676,
11303683,
11313700,
11323709,
11333710,
11343713,
11353723,
11363725,
11373728,
11383734,
11393737,
11403738,
11413744,
11423750,
11433762,
11443764,
11453774,
11463776,
11473786,
11483800,
11493803,
11503809,
11513816,
11523821,
11533827,
11543829,
11553836,
11563842,
11573844,
11583847,
11593853,
11603861,
11613871,
11623872,
11633881,
11643890,
11653892,
11663909,
11673921,
11683934,
11693938,
11703947,
11713950,
11723952,
11733964,
11743974,
11753980,
11763983,
11773986,
11783995,
11793998,
11804001,
11814002,
11824004,
11834008,
11844011,
11854016,
11864033,
11874036,
11884040,
11894053,
11904058,
11914081,
11924091,
11934094,
1194-1 };
1195#endif
1196
1197#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_13
1198static const long PrimitivePolynomialDegree14[]={
119921,
120028,
120141,
120247,
120361,
120484,
120587,
120693,
120794,
1208103,
1209117,
1210121,
1211134,
1212137,
1213157,
1214161,
1215205,
1216206,
1217211,
1218214,
1219218,
1220234,
1221236,
1222248,
1223262,
1224299,
1225304,
1226319,
1227322,
1228334,
1229355,
1230357,
1231358,
1232369,
1233372,
1234375,
1235388,
1236400,
1237415,
1238446,
1239451,
1240458,
1241471,
1242484,
1243501,
1244502,
1245517,
1246545,
1247569,
1248617,
1249618,
1250623,
1251625,
1252637,
1253661,
1254668,
1255684,
1256695,
1257716,
1258719,
1259722,
1260731,
1261738,
1262747,
1263755,
1264761,
1265767,
1266775,
1267782,
1268787,
1269794,
1270803,
1271812,
1272817,
1273824,
1274829,
1275850,
1276866,
1277871,
1278877,
1279920,
1280935,
1281959,
1282979,
1283992,
12841010,
12851012,
12861015,
12871033,
12881036,
12891053,
12901057,
12911069,
12921072,
12931075,
12941087,
12951089,
12961137,
12971166,
12981174,
12991180,
13001204,
13011211,
13021219,
13031236,
13041255,
13051264,
13061306,
13071330,
13081341,
13091344,
13101347,
13111349,
13121361,
13131380,
13141390,
13151404,
13161435,
13171444,
13181453,
13191461,
13201462,
13211465,
13221468,
13231474,
13241483,
13251488,
13261493,
13271500,
13281509,
13291510,
13301514,
13311519,
13321528,
13331533,
13341540,
13351550,
13361567,
13371571,
13381573,
13391578,
13401598,
13411606,
13421618,
13431630,
13441634,
13451640,
13461643,
13471654,
13481679,
13491688,
13501698,
13511703,
13521704,
13531722,
13541735,
13551750,
13561753,
13571760,
13581789,
13591792,
13601802,
13611819,
13621825,
13631828,
13641832,
13651845,
13661846,
13671857,
13681869,
13691897,
13701906,
13711908,
13721911,
13731934,
13741962,
13751967,
13761972,
13771975,
13781999,
13792004,
13802011,
13812013,
13822037,
13832051,
13842063,
13852066,
13862094,
13872128,
13882154,
13892164,
13902198,
13912217,
13922220,
13932223,
13942238,
13952245,
13962252,
13972258,
13982264,
13992280,
14002285,
14012293,
14022294,
14032298,
14042303,
14052306,
14062311,
14072326,
14082354,
14092373,
14102380,
14112385,
14122392,
14132401,
14142402,
14152408,
14162419,
14172450,
14182452,
14192477,
14202509,
14212510,
14222515,
14232524,
14242527,
14252531,
14262552,
14272561,
14282567,
14292571,
14302586,
14312588,
14322595,
14332607,
14342621,
14352630,
14362639,
14372653,
14382670,
14392672,
14402700,
14412711,
14422715,
14432748,
14442751,
14452753,
14462754,
14472760,
14482774,
14492784,
14502793,
14512804,
14522811,
14532822,
14542826,
14552836,
14562839,
14572840,
14582893,
14592901,
14602902,
14612905,
14622912,
14632915,
14642918,
14652939,
14662965,
14672966,
14682975,
14692988,
14702993,
14713006,
14723017,
14733031,
14743038,
14753041,
14763042,
14773051,
14783073,
14793088,
14803097,
14813098,
14823103,
14833104,
14843146,
14853148,
14863153,
14873159,
14883182,
14893187,
14903189,
14913199,
14923239,
14933263,
14943271,
14953275,
14963278,
14973280,
14983283,
14993290,
15003311,
15013316,
15023343,
15033346,
15043357,
15053358,
15063361,
15073362,
15083364,
15093386,
15103418,
15113424,
15123433,
15133434,
15143436,
15153463,
15163467,
15173477,
15183484,
15193505,
15203508,
15213515,
15223532,
15233553,
15243554,
15253568,
15263573,
15273587,
15283589,
15293596,
15303608,
15313620,
15323630,
15333644,
15343649,
15353664,
15363679,
15373680,
15383685,
15393686,
15403698,
15413714,
15423726,
15433737,
15443767,
15453782,
15463786,
15473793,
15483796,
15493805,
15503815,
15513841,
15523847,
15533853,
15543862,
15553875,
15563902,
15573904,
15583916,
15593947,
15603949,
15613955,
15623962,
15633971,
15643980,
15653985,
15663998,
15674001,
15684002,
15694016,
15704021,
15714026,
15724043,
15734079,
15744102,
15754106,
15764119,
15774126,
15784147,
15794149,
15804164,
15814174,
15824181,
15834185,
15844188,
15854202,
15864228,
15874232,
15884246,
15894252,
15904256,
15914286,
15924303,
15934306,
15944311,
15954317,
15964342,
15974346,
15984377,
15994401,
16004407,
16014414,
16024422,
16034431,
16044434,
16054436,
16064443,
16074459,
16084461,
16094462,
16104473,
16114497,
16124504,
16134507,
16144525,
16154534,
16164538,
16174548,
16184552,
16194560,
16204575,
16214599,
16224612,
16234619,
16244640,
16254643,
16264677,
16274687,
16284723,
16294730,
16304736,
16314741,
16324763,
16334765,
16344770,
16354781,
16364808,
16374822,
16384828,
16394831,
16404842,
16414855,
16424859,
16434867,
16444870,
16454881,
16464893,
16474910,
16484917,
16494929,
16504939,
16514947,
16524949,
16534954,
16544972,
16554975,
16565000,
16575005,
16585029,
16595039,
16605044,
16615051,
16625056,
16635073,
16645096,
16655128,
16665134,
16675161,
16685179,
16695193,
16705199,
16715202,
16725204,
16735218,
16745247,
16755260,
16765271,
16775301,
16785305,
16795319,
16805326,
16815328,
16825333,
16835364,
16845376,
16855399,
16865416,
16875421,
16885427,
16895429,
16905430,
16915434,
16925441,
16935451,
16945465,
16955466,
16965471,
16975477,
16985492,
16995495,
17005505,
17015515,
17025525,
17035529,
17045532,
17055539,
17065541,
17075556,
17085566,
17095568,
17105574,
17115595,
17125602,
17135611,
17145616,
17155622,
17165628,
17175655,
17185662,
17195675,
17205689,
17215722,
17225724,
17235728,
17245731,
17255746,
17265764,
17275771,
17285781,
17295801,
17305809,
17315810,
17325812,
17335841,
17345848,
17355853,
17365854,
17375858,
17385892,
17395907,
17405910,
17415913,
17425920,
17435929,
17445949,
17455952,
17465955,
17475962,
17485975,
17495985,
17505997,
17515998,
17526012,
17536016,
17546026,
17556036,
17566040,
17576045,
17586055,
17596059,
17606088,
17616115,
17626124,
17636127,
17646132,
17656146,
17666158,
17676169,
17686206,
17696228,
17706237,
17716244,
17726247,
17736256,
17746281,
17756282,
17766284,
17776296,
17786299,
17796302,
17806325,
17816349,
17826352,
17836362,
17846383,
17856386,
17866395,
17876397,
17886415,
17896424,
17906429,
17916439,
17926451,
17936489,
17946496,
17956502,
17966511,
17976514,
17986520,
17996523,
18006529,
18016532,
18026547,
18036549,
18046598,
18056601,
18066610,
18076622,
18086632,
18096655,
18106665,
18116666,
18126695,
18136701,
18146709,
18156710,
18166741,
18176745,
18186758,
18196767,
18206772,
18216782,
18226797,
18236800,
18246843,
18256845,
18266860,
18276865,
18286878,
18296887,
18306888,
18316901,
18326906,
18336940,
18346947,
18356953,
18366954,
18376959,
18386961,
18396964,
18406991,
18416993,
18426999,
18437016,
18447029,
18457036,
18467045,
18477076,
18487083,
18497094,
18507097,
18517123,
18527130,
18537139,
18547145,
18557146,
18567178,
18577186,
18587192,
18597198,
18607222,
18617269,
18627270,
18637276,
18647287,
18657307,
18667315,
18677334,
18687340,
18697351,
18707352,
18717357,
18727360,
18737363,
18747384,
18757396,
18767403,
18777406,
18787425,
18797437,
18807445,
18817450,
18827455,
18837461,
18847466,
18857488,
18867494,
18877515,
18887517,
18897521,
18907536,
18917546,
18927569,
18937591,
18947592,
18957598,
18967612,
18977623,
18987632,
18997637,
19007644,
19017657,
19027665,
19037672,
19047682,
19057699,
19067702,
19077724,
19087749,
19097753,
19107754,
19117761,
19127771,
19137777,
19147784,
19157804,
19167807,
19177808,
19187818,
19197835,
19207842,
19217865,
19227868,
19237880,
19247883,
19257891,
19267897,
19277907,
19287910,
19297924,
19307933,
19317934,
19327942,
19337948,
19347959,
19357984,
19367994,
19377999,
19388014,
19398021,
19408041,
19418049,
19428050,
19438068,
19448080,
19458095,
19468102,
19478106,
19488120,
19498133,
19508134,
19518143,
19528162,
19538168,
19548179,
1955-1 };
1956#endif
1957
1958#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_14
1959static const long PrimitivePolynomialDegree15[]={
19601,
19618,
196211,
196322,
196426,
196547,
196659,
196764,
196867,
196973,
197082,
197197,
1972103,
1973110,
1974115,
1975122,
1976128,
1977138,
1978146,
1979171,
1980174,
1981176,
1982182,
1983194,
1984208,
1985211,
1986220,
1987229,
1988230,
1989239,
1990254,
1991265,
1992285,
1993290,
1994319,
1995324,
1996327,
1997333,
1998357,
1999364,
2000395,
2001397,
2002405,
2003409,
2004419,
2005422,
2006431,
2007433,
2008436,
2009440,
2010453,
2011460,
2012471,
2013478,
2014482,
2015488,
2016524,
2017529,
2018535,
2019536,
2020539,
2021563,
2022566,
2023572,
2024577,
2025587,
2026592,
2027602,
2028623,
2029635,
2030638,
2031654,
2032656,
2033659,
2034665,
2035675,
2036677,
2037687,
2038696,
2039701,
2040704,
2041710,
2042721,
2043728,
2044738,
2045740,
2046749,
2047758,
2048761,
2049772,
2050776,
2051782,
2052789,
2053810,
2054812,
2055818,
2056830,
2057832,
2058852,
2059855,
2060859,
2061865,
2062877,
2063895,
2064901,
2065902,
2066906,
2067916,
2068920,
2069949,
2070962,
2071964,
2072967,
2073981,
2074982,
2075985,
2076991,
20771007,
20781016,
20791024,
20801051,
20811060,
20821070,
20831072,
20841084,
20851089,
20861095,
20871114,
20881123,
20891132,
20901154,
20911156,
20921163,
20931171,
20941202,
20951228,
20961239,
20971255,
20981256,
20991262,
21001270,
21011279,
21021308,
21031322,
21041329,
21051330,
21061336,
21071341,
21081347,
21091349,
21101359,
21111367,
21121368,
21131390,
21141413,
21151414,
21161437,
21171441,
21181462,
21191465,
21201480,
21211486,
21221504,
21231509,
21241514,
21251522,
21261528,
21271552,
21281555,
21291571,
21301578,
21311585,
21321588,
21331603,
21341609,
21351617,
21361620,
21371629,
21381636,
21391648,
21401667,
21411669,
21421682,
21431697,
21441704,
21451709,
21461727,
21471730,
21481732,
21491741,
21501744,
21511759,
21521765,
21531766,
21541778,
21551780,
21561783,
21571797,
21581807,
21591821,
21601832,
21611835,
21621849,
21631850,
21641863,
21651867,
21661869,
21671872,
21681887,
21691888,
21701897,
21711906,
21721917,
21731927,
21741939,
21751941,
21761948,
21771970,
21781979,
21791982,
21802002,
21812020,
21822024,
21832032,
21842053,
21852060,
21862063,
21872066,
21882075,
21892078,
21902081,
21912091,
21922096,
21932102,
21942106,
21952116,
21962120,
21972125,
21982134,
21992178,
22002180,
22012187,
22022189,
22032190,
22042208,
22052214,
22062237,
22072252,
22082257,
22092260,
22102264,
22112270,
22122279,
22132288,
22142305,
22152312,
22162317,
22172323,
22182329,
22192335,
22202342,
22212345,
22222365,
22232371,
22242378,
22252385,
22262395,
22272404,
22282414,
22292426,
22302428,
22312441,
22322456,
22332466,
22342468,
22352475,
22362489,
22372495,
22382497,
22392510,
22402512,
22412522,
22422533,
22432543,
22442551,
22452552,
22462557,
22472567,
22482581,
22492586,
22502597,
22512601,
22522622,
22532633,
22542636,
22552642,
22562644,
22572653,
22582667,
22592669,
22602672,
22612675,
22622682,
22632687,
22642691,
22652698,
22662708,
22672712,
22682718,
22692722,
22702736,
22712741,
22722756,
22732765,
22742774,
22752799,
22762804,
22772825,
22782826,
22792840,
22802843,
22812846,
22822849,
22832867,
22842876,
22852891,
22862902,
22872912,
22882917,
22892927,
22902941,
22912965,
22922970,
22932982,
22942993,
22953018,
22963023,
22973025,
22983026,
22993028,
23003032,
23013053,
23023054,
23033065,
23043071,
23053076,
23063088,
23073107,
23083146,
23093148,
23103159,
23113165,
23123170,
23133179,
23143182,
23153205,
23163212,
23173218,
23183220,
23193223,
23203227,
23213233,
23223234,
23233254,
23243263,
23253268,
23263272,
23273277,
23283292,
23293295,
23303296,
23313301,
23323306,
23333313,
23343346,
23353367,
23363371,
23373373,
23383374,
23393376,
23403382,
23413388,
23423391,
23433403,
23443406,
23453413,
23463420,
23473427,
23483441,
23493453,
23503464,
23513469,
23523481,
23533488,
23543497,
23553503,
23563511,
23573515,
23583525,
23593529,
23603547,
23613550,
23623573,
23633583,
23643594,
23653607,
23663613,
23673624,
23683630,
23693635,
23703642,
23713644,
23723650,
23733679,
23743690,
23753698,
23763704,
23773707,
23783713,
23793754,
23803756,
23813761,
23823776,
23833781,
23843788,
23853791,
23863794,
23873806,
23883841,
23893848,
23903851,
23913856,
23923868,
23933875,
23943882,
23953884,
23963889,
23973892,
23983919,
23993921,
24003958,
24013961,
24023973,
24033977,
24043985,
24053991,
24064004,
24074007,
24084019,
24094045,
24104054,
24114057,
24124058,
24134070,
24144101,
24154113,
24164114,
24174119,
24184129,
24194141,
24204142,
24214147,
24224149,
24234150,
24244164,
24254168,
24264186,
24274198,
24284207,
24294221,
24304225,
24314231,
24324238,
24334243,
24344249,
24354250,
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367015587,
367115601,
367215604,
367315611,
367415616,
367515619,
367615625,
367715633,
367815674,
367915681,
368015691,
368115693,
368215696,
368315712,
368415717,
368515724,
368615727,
368715730,
368815746,
368915751,
369015760,
369115770,
369215782,
369315791,
369415796,
369515808,
369615814,
369715825,
369815828,
369915835,
370015844,
370115847,
370215853,
370315856,
370415877,
370515878,
370615887,
370715908,
370815917,
370915923,
371015930,
371115937,
371215958,
371315977,
371415991,
371516007,
371616011,
371716014,
371816021,
371916022,
372016028,
372116035,
372216041,
372316056,
372416069,
372516076,
372616081,
372716087,
372816088,
372916110,
373016112,
373116117,
373216150,
373316153,
373416160,
373516166,
373616172,
373716190,
373816195,
373916204,
374016216,
374116222,
374216228,
374316245,
374416255,
374516265,
374616273,
374716276,
374816283,
374916295,
375016304,
375116313,
375216319,
375316328,
375416345,
375516355,
375616364,
375716372,
375816375,
375916382,
3760-1 };
3761#endif
3762
3763#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_15
3764static const long PrimitivePolynomialDegree16[]={
376522,
376628,
376731,
376841,
376994,
3770107,
3771151,
3772158,
3773167,
3774174,
3775203,
3776208,
3777214,
3778223,
3779227,
3780266,
3781268,
3782274,
3783279,
3784302,
3785310,
3786322,
3787328,
3788336,
3789370,
3790398,
3791421,
3792436,
3793440,
3794451,
3795454,
3796463,
3797465,
3798494,
3799508,
3800532,
3801555,
3802563,
3803577,
3804580,
3805584,
3806607,
3807608,
3808665,
3809675,
3810692,
3811707,
3812737,
3813750,
3814757,
3815800,
3816805,
3817809,
3818837,
3819865,
3820949,
3821950,
3822956,
3823961,
38241016,
38251030,
38261072,
38271119,
38281130,
38291135,
38301137,
38311144,
38321149,
38331180,
38341214,
38351221,
38361234,
38371239,
38381249,
38391250,
38401267,
38411273,
38421342,
38431344,
38441373,
38451378,
38461408,
38471417,
38481418,
38491448,
38501454,
38511510,
38521513,
38531522,
38541543,
38551550,
38561552,
38571588,
38581592,
38591597,
38601606,
38611610,
38621617,
38631623,
38641657,
38651697,
38661729,
38671735,
38681769,
38691778,
38701826,
38711858,
38721870,
38731875,
38741922,
38751924,
38761933,
38771972,
38781979,
38791987,
38801994,
38812008,
38822023,
38832029,
38842053,
38852081,
38862087,
38872094,
38882111,
38892113,
38902114,
38912123,
38922190,
38932231,
38942276,
38952285,
38962297,
38972336,
38982345,
38992353,
39002363,
39012368,
39022373,
39032391,
39042402,
39052413,
39062422,
39072425,
39082461,
39092462,
39102490,
39112492,
39122510,
39132564,
39142573,
39152598,
39162627,
39172633,
39182647,
39192660,
39202664,
39212678,
39222684,
39232691,
39242759,
39252768,
39262773,
39272794,
39282813,
39292831,
39302843,
39312846,
39322849,
39332856,
39342893,
39352901,
39362924,
39372942,
39382975,
39392979,
39402985,
39413020,
39423025,
39433028,
39443051,
39453127,
39463142,
39473145,
39483156,
39493165,
39503196,
39513199,
39523217,
39533218,
39543253,
39553258,
39563260,
39573289,
39583314,
39593326,
39603331,
39613371,
39623381,
39633396,
39643441,
39653442,
39663460,
39673477,
39683491,
39693493,
39703543,
39713549,
39723550,
39733553,
39743563,
39753568,
39763604,
39773632,
39783650,
39793662,
39803674,
39813685,
39823686,
39833700,
39843703,
39853704,
39863723,
39873743,
39883753,
39893756,
39903759,
39913762,
39923771,
39933776,
39943779,
39953839,
39963856,
39973871,
39983887,
39993896,
40003901,
40013916,
40023919,
40033937,
40043943,
40053955,
40063961,
40073988,
40083997,
40094011,
40104026,
40114033,
40124045,
40134060,
40144063,
40154064,
40164126,
40174136,
40184167,
40194173,
40204188,
40214195,
40224226,
40234291,
40244298,
40254308,
40264312,
40274336,
40284371,
40294378,
40304384,
40314393,
40324421,
40334425,
40344439,
40354440,
40364500,
40374514,
40384523,
40394534,
40404593,
40414615,
40424630,
40434636,
40444645,
40454684,
40464687,
40474723,
40484735,
40494746,
40504779,
40514782,
40524793,
40534796,
40544813,
40554850,
40564867,
40574874,
40584881,
40594894,
40604904,
40614927,
40624929,
40634989,
40645000,
40655020,
40665036,
40675041,
40685059,
40695074,
40705090,
40715110,
40725134,
40735152,
40745176,
40755181,
40765204,
40775218,
40785242,
40795253,
40805260,
40815281,
40825282,
40835313,
40845316,
40855326,
40865340,
40875347,
40885354,
40895368,
40905394,
40915396,
40925400,
40935405,
40945439,
40955442,
40965459,
40975478,
40985484,
40995508,
41005523,
41015545,
41025565,
41035566,
41045580,
41055608,
41065613,
41075647,
41085661,
41095671,
41105678,
41115680,
41125685,
41135689,
41145692,
41155724,
41165745,
41175755,
41185757,
41195786,
41205792,
41215810,
41225824,
41235869,
41245872,
41255895,
41265923,
41275925,
41285926,
41295944,
41305986,
41316012,
41326015,
41336046,
41346049,
41356061,
41366067,
41376099,
41386121,
41396155,
41406163,
41416203,
41426208,
41436231,
41446241,
41456254,
41466262,
41476266,
41486275,
41496278,
41506292,
41516329,
41526355,
41536357,
41546374,
41556380,
41566423,
41576427,
41586430,
41596436,
41606443,
41616445,
41626458,
41636478,
41646490,
41656508,
41666519,
41676520,
41686530,
41696541,
41706556,
41716607,
41726612,
41736626,
41746632,
41756649,
41766666,
41776674,
41786733,
41796782,
41806786,
41816798,
41826821,
41836840,
41846846,
41856865,
41866884,
41876891,
41886925,
41896938,
41906967,
41916988,
41926996,
41937009,
41947016,
41957030,
41967043,
41977045,
41987052,
41997073,
42007142,
42017153,
42027168,
42037174,
42047183,
42057195,
42067204,
42077214,
42087222,
42097267,
42107269,
42117279,
42127293,
42137312,
42147327,
42157334,
42167337,
42177343,
42187346,
42197372,
42207387,
42217390,
42227396,
42237423,
42247428,
42257437,
42267466,
42277474,
42287476,
42297483,
42307518,
42317527,
42327545,
42337572,
42347586,
42357597,
42367630,
42377653,
42387657,
42397671,
42407672,
42417715,
42427717,
42437732,
42447735,
42457753,
42467811,
42477817,
42487825,
42497832,
42507838,
42517841,
42527844,
42537859,
42547861,
42557873,
42567880,
42577897,
42587904,
42597910,
42607960,
42617969,
42627970,
42637976,
42647979,
42658007,
42668041,
42678047,
42688052,
42698061,
42708078,
42718128,
42728146,
42738162,
42748250,
42758270,
42768294,
42778324,
42788351,
42798357,
42808361,
42818364,
42828393,
42838396,
42848407,
42858413,
42868414,
42878432,
42888435,
42898441,
42908447,
42918449,
42928456,
42938485,
42948504,
42958512,
42968532,
42978551,
42988560,
42998566,
43008581,
43018609,
43028639,
43038641,
43048671,
43058695,
43068701,
43078711,
43088739,
43098763,
43108778,
43118783,
43128785,
43138797,
43148802,
43158816,
43168828,
43178837,
43188852,
43198859,
43208889,
43218900,
43228903,
43238909,
43248910,
43258922,
43268924,
43278955,
43288958,
43298980,
43308994,
43319006,
43329017,
43339032,
43349040,
43359061,
43369066,
43379071,
43389076,
43399086,
43409104,
43419150,
43429161,
43439164,
43449185,
43459188,
43469212,
43479230,
43489242,
43499247,
43509260,
43519280,
43529300,
43539313,
43549325,
43559343,
43569349,
43579354,
43589367,
43599368,
43609455,
43619458,
43629469,
43639481,
43649482,
43659495,
43669526,
43679530,
43689558,
43699562,
43709573,
43719583,
43729595,
43739597,
43749616,
43759638,
43769649,
43779662,
43789691,
43799700,
43809703,
43819710,
43829721,
43839724,
43849727,
43859743,
43869779,
43879785,
43889811,
43899820,
43909827,
43919851,
43929854,
43939863,
43949884,
43959894,
43969903,
43979908,
43989912,
43999925,
44009926,
44019971,
44029973,
44039977,
440410021,
440510039,
440610048,
440710051,
440810065,
440910071,
441010072,
441110101,
441210106,
441310130,
441410136,
441510148,
441610155,
441710157,
441810160,
441910166,
442010183,
442110192,
442210225,
442310241,
442410247,
442510284,
442610304,
442710322,
442810331,
442910333,
443010340,
443110347,
443210357,
443310371,
443410386,
443510404,
443610414,
443710422,
443810448,
443910451,
444010473,
444110479,
444210501,
444310530,
444410542,
444510544,
444610571,
444710628,
444810643,
444910673,
445010683,
445110736,
445210795,
445310797,
445410815,
445510817,
445610842,
445710844,
445810863,
445910899,
446010902,
446110917,
446210953,
446310967,
446411002,
446511024,
446611029,
446711030,
446811043,
446911087,
447011106,
447111130,
447211156,
447311176,
447411221,
447511267,
447611282,
447711294,
447811332,
447911353,
448011369,
448111372,
448211375,
448311413,
448411429,
448511430,
448611444,
448711462,
448811465,
448911471,
449011473,
449111495,
449211499,
449311519,
449411562,
449511576,
449611582,
449711596,
449811602,
449911611,
450011627,
450111682,
450211687,
450311691,
450411733,
450511747,
450611759,
450711778,
450811852,
450911857,
451011858,
451111893,
451211907,
451311928,
451411931,
451511933,
451611967,
451711976,
451811989,
451912003,
452012024,
452112030,
452212037,
452312044,
452412052,
452512059,
452612075,
452712083,
452812117,
452912138,
453012146,
453112202,
453212230,
453312254,
453412304,
453512316,
453612337,
453712347,
453812367,
453912398,
454012421,
454112428,
454212446,
454312449,
454412467,
454512479,
454612502,
454712521,
454812553,
454912568,
455012573,
455112592,
455212597,
455312601,
455412615,
455512619,
455612694,
455712697,
455812698,
455912713,
456012722,
456112733,
456212736,
456312790,
456412794,
456512803,
456612815,
456712829,
456812833,
456912840,
457012875,
457112877,
457212916,
457312923,
457412935,
457512949,
457612954,
457712956,
457812959,
457912978,
458013001,
458113010,
458213043,
458313049,
458413058,
458513112,
458613140,
458713149,
458813163,
458913187,
459013196,
459113237,
459213244,
459313264,
459413279,
459513292,
459613295,
459713307,
459813312,
459913317,
460013327,
460113348,
460213390,
460313413,
460413417,
460513418,
460613451,
460713475,
460813482,
460913510,
461013527,
461113543,
461213547,
461313627,
461413650,
461513683,
461613696,
461713702,
461813713,
461913739,
462013749,
462113767,
462213774,
462313781,
462413795,
462513821,
462613825,
462713838,
462813852,
462913879,
463013888,
463113897,
463213906,
463313939,
463413962,
463513981,
463613985,
463714020,
463814030,
463914041,
464014047,
464114048,
464214066,
464314092,
464414120,
464514126,
464614131,
464714143,
464814146,
464914152,
465014155,
465114157,
465214188,
465314206,
465414243,
465514278,
465614308,
465714317,
465814335,
465914354,
466014356,
466114379,
466214381,
466314384,
466414389,
466514390,
466614414,
466714425,
466814462,
466914472,
467014508,
467114511,
467214519,
467314528,
467414561,
467514574,
467614588,
467714594,
467814606,
467914614,
468014639,
468114641,
468214648,
468314668,
468414673,
468514679,
468614695,
468714702,
468814704,
468914740,
469014754,
469114774,
469214792,
469314797,
469414806,
469514812,
469614856,
469714876,
469814900,
469914910,
470014912,
470114915,
470214922,
470314939,
470414946,
470514955,
470614966,
470714976,
470814986,
470914993,
471015012,
471115041,
471215053,
471315056,
471415059,
471515110,
471615116,
471715133,
471815134,
471915137,
472015147,
472115182,
472215203,
472315215,
472415245,
472515246,
472615264,
472715269,
472815296,
472915314,
473015323,
473115364,
473215386,
473315391,
473415436,
473515460,
473615464,
473715469,
473815470,
473915477,
474015488,
474115494,
474215548,
474315551,
474415560,
474515563,
474615604,
474715607,
474815616,
474915631,
475015699,
475115701,
475215708,
475315739,
475415746,
475515772,
475615793,
475715832,
475815837,
475915866,
476015899,
476115911,
476215918,
476315952,
476415962,
476515967,
476615973,
476715977,
476816016,
476916035,
477016044,
477116067,
477216082,
477316084,
477416098,
477516107,
477616142,
477716149,
477816165,
477916172,
478016178,
478116197,
478216201,
478316215,
478416221,
478516226,
478616232,
478716246,
478816261,
478916279,
479016280,
479116290,
479216314,
479316345,
479416355,
479516361,
479616393,
479716394,
479816438,
479916450,
480016507,
480116523,
480216533,
480316603,
480416648,
480516653,
480616672,
480716682,
480816709,
480916713,
481016719,
481116733,
481216740,
481316761,
481416767,
481516771,
481616788,
481716811,
481816814,
481916816,
482016828,
482116834,
482216863,
482316864,
482416879,
482516888,
482616904,
482716909,
482816921,
482916934,
483016951,
483116983,
483216999,
483317000,
483417006,
483517020,
483617030,
483717033,
483817044,
483917051,
484017072,
484117078,
484217084,
484317087,
484417090,
484517123,
484617132,
484717140,
484817149,
484917157,
485017164,
485117170,
485217179,
485317237,
485417248,
485517260,
485617272,
485717275,
485817287,
485917294,
486017296,
486117305,
486217312,
486317321,
486417367,
486517368,
486617378,
486717433,
486817455,
486917457,
487017508,
487117559,
487217560,
487317582,
487417596,
487517599,
487617613,
487717619,
487817622,
487917655,
488017661,
488117698,
488217712,
488317715,
488417721,
488517722,
488617742,
488717778,
488817818,
488917836,
489017841,
489117856,
489217883,
489317896,
489417901,
489517926,
489617937,
489717992,
489817995,
489917998,
490018021,
490118039,
490218067,
490318122,
490418129,
490518130,
490618142,
490718148,
490818163,
490918192,
491018211,
491118228,
491218264,
491318347,
491418372,
491518409,
491618412,
491718418,
491818423,
491918433,
492018439,
492118445,
492218451,
492318467,
492418502,
492518514,
492618547,
492718575,
492818593,
492918613,
493018620,
493118637,
493218640,
493318712,
493418728,
493518742,
493618748,
493718753,
493818756,
493918771,
494018814,
494118818,
494218827,
494318835,
494418842,
494518854,
494618858,
494718895,
494818914,
494918925,
495018933,
495118937,
495218944,
495318973,
495419001,
495519012,
495619016,
495719027,
495819040,
495919074,
496019085,
496119093,
496219100,
496319107,
496419128,
496519141,
496619142,
496719156,
496819169,
496919176,
497019222,
497119226,
497219247,
497319259,
497419262,
497519291,
497619309,
497719324,
497819334,
497919338,
498019343,
498119376,
498219408,
498319413,
498419420,
498519441,
498619444,
498719454,
498819461,
498919473,
499019479,
499119489,
499219591,
499319605,
499419616,
499519619,
499619653,
499719654,
499819681,
499919711,
500019719,
500119726,
500219738,
500319767,
500419819,
500519864,
500619867,
500719885,
500819894,
500919900,
501019903,
501119941,
501219951,
501319959,
501419966,
501520009,
501620018,
501720020,
501820038,
501920049,
502020066,
502120108,
502220130,
502320132,
502420167,
502520219,
502620227,
502720263,
502820267,
502920272,
503020289,
503120296,
503220307,
503320316,
503420323,
503520335,
503620344,
503720354,
503820360,
503920368,
504020390,
504120402,
504220413,
504320425,
504420428,
504520434,
504620443,
504720488,
504820502,
504920505,
505020535,
505120541,
505220554,
505320577,
505420583,
505520602,
505620611,
505720614,
505820626,
505920628,
506020635,
506120642,
506220674,
506320716,
506420734,
506520765,
506620801,
506720804,
506820808,
506920831,
507020832,
507120862,
507220877,
507320880,
507420885,
507520889,
507620905,
507720914,
507820967,
507921028,
508021031,
508121043,
508221052,
508321058,
508421087,
508521088,
508621093,
508721106,
508821108,
508921118,
509021122,
509121131,
509221139,
509321141,
509421146,
509521162,
509621164,
509721184,
509821208,
509921211,
510021213,
510121230,
510221270,
510321276,
510421285,
510521297,
510621304,
510721310,
510821330,
510921339,
511021346,
511121391,
511221427,
511321451,
511421465,
511521468,
511621471,
511721533,
511821610,
511921615,
512021630,
512121633,
512221657,
512321658,
512421669,
512521670,
512621673,
512721701,
512821719,
512921720,
513021747,
513121819,
513221839,
513321854,
513421857,
513521864,
513621882,
513721900,
513821903,
513921928,
514021931,
514121946,
514221971,
514321974,
514421978,
514521993,
514621994,
514722030,
514822035,
514922063,
515022068,
515122086,
515222104,
515322119,
515422153,
515522168,
515622183,
515722189,
515822204,
515922230,
516022240,
516122246,
516222269,
516322282,
516422302,
516522330,
516622347,
516722349,
516822383,
516922386,
517022432,
517122450,
517222473,
517322487,
517422527,
517522537,
517622557,
517722561,
517822568,
517922573,
518022591,
518122593,
518222605,
518322620,
518422627,
518522636,
518622647,
518722697,
518822715,
518922725,
519022732,
519122749,
519222766,
519322768,
519422771,
519522788,
519622797,
519722822,
519822828,
519922851,
520022888,
520122893,
520222901,
520322902,
520422921,
520522929,
520622946,
520722948,
520822951,
520922958,
521022975,
521122983,
521222990,
521323032,
521423047,
521523053,
521623054,
521723082,
521823095,
521923116,
522023197,
522123221,
522223257,
522323260,
522423263,
522523267,
522623282,
522723284,
522823314,
522923326,
523023335,
523123368,
523223373,
523323401,
523423415,
523523432,
523623476,
523723479,
523823497,
523923505,
524023508,
524123531,
524223536,
524323542,
524423565,
524523573,
524623590,
524723593,
524823604,
524923621,
525023622,
525123636,
525223662,
525323667,
525423703,
525523725,
525623734,
525723738,
525823752,
525923800,
526023803,
526123818,
526223832,
526323842,
526423851,
526523873,
526623883,
526723888,
526823910,
526923934,
527023938,
527123949,
527223955,
527323967,
527423973,
527523991,
527624024,
527724030,
527824039,
527924067,
528024069,
528124084,
528224112,
528324115,
528424184,
528524187,
528624262,
528724276,
528824279,
528924313,
529024331,
529124336,
529224348,
529324367,
529424372,
529524402,
529624420,
529724444,
529824465,
529924466,
530024471,
530124475,
530224481,
530324488,
530424501,
530524514,
530624531,
530724534,
530824559,
530924602,
531024614,
531124637,
531224664,
531324676,
531424679,
531524697,
531624709,
531724714,
531824716,
531924731,
532024744,
532124762,
532224764,
532324769,
532424806,
532524812,
532624872,
532724878,
532824883,
532924909,
533024943,
533124946,
533224964,
533324992,
533425016,
533525022,
533625024,
533725039,
533825051,
533925060,
534025072,
534125097,
534225122,
534325148,
534425194,
534525201,
534625204,
534725238,
534825241,
534925248,
535025257,
535125275,
535225278,
535325304,
535425307,
535525320,
535625334,
535725348,
535825357,
535925372,
536025394,
536125454,
536225465,
536325472,
536425492,
536525505,
536625517,
536725530,
536825558,
536925562,
537025598,
537125609,
537225612,
537325627,
537425651,
537525653,
537625668,
537725711,
537825765,
537925770,
538025775,
538125777,
538225783,
538325801,
538425802,
538525812,
538625821,
538725897,
538825906,
538925929,
539025940,
539125950,
539225968,
539325971,
539425977,
539525994,
539625996,
539725999,
539826001,
539926030,
540026069,
540126100,
540226109,
540326131,
540426144,
540526149,
540626162,
540726167,
540826173,
540926179,
541026193,
541126230,
541226234,
541326246,
541426267,
541526283,
541626300,
541726341,
541826356,
541926377,
542026397,
542126404,
542226411,
542326422,
542426451,
542526454,
542626463,
542726488,
542826498,
542926509,
543026512,
543126517,
543226534,
543326545,
543426546,
543526636,
543626749,
543726753,
543826759,
543926774,
544026789,
544126808,
544226825,
544326831,
544426859,
544526888,
544626918,
544726929,
544826950,
544926954,
545026973,
545126997,
545226998,
545327008,
545427038,
545527109,
545627127,
545727150,
545827168,
545927178,
546027212,
546127224,
546227229,
546327246,
546427251,
546527257,
546627258,
546727260,
546827287,
546927300,
547027315,
547127329,
547227332,
547327349,
547427350,
547527354,
547627359,
547727377,
547827378,
547927383,
548027384,
548127387,
548227392,
548327402,
548427438,
548527481,
548627482,
548727494,
548827531,
548927542,
549027546,
549127564,
549227567,
549327582,
549427608,
549527611,
549627624,
549727629,
549827655,
549927667,
550027676,
550127710,
550227724,
550327745,
550427752,
550527770,
550627779,
550727781,
550827791,
550927809,
551027810,
551127815,
551227827,
551327834,
551427865,
551527899,
551627901,
551727914,
551827950,
551927994,
552028005,
552128009,
552228033,
552328039,
552428060,
552528067,
552628069,
552728099,
552828113,
552928114,
553028139,
553128142,
553228153,
553328166,
553428172,
553528183,
553628194,
553728232,
553828245,
553928246,
554028252,
554128265,
554228301,
554328323,
554428344,
554528362,
554628400,
554728417,
554828454,
554928466,
555028468,
555128477,
555228498,
555328510,
555428513,
555528571,
555628573,
555728578,
555828587,
555928601,
556028646,
556128663,
556228681,
556328682,
556428699,
556528706,
556628708,
556728717,
556828720,
556928735,
557028761,
557128783,
557228788,
557328811,
557428825,
557528838,
557628850,
557728891,
557828897,
557928932,
558028975,
558128998,
558229052,
558329090,
558429096,
558529104,
558629113,
558729133,
558829142,
558929170,
559029192,
559129221,
559229236,
559329246,
559429293,
559529305,
559629312,
559729339,
559829365,
559929389,
560029402,
560129423,
560229443,
560329445,
560429463,
560529473,
560629493,
560729506,
560829518,
560929532,
561029560,
561129590,
561229594,
561329637,
561429647,
561529650,
561629655,
561729661,
561829680,
561929721,
562029751,
562129755,
562229760,
562329772,
562429778,
562529799,
562629824,
562729841,
562829842,
562929853,
563029867,
563129949,
563229950,
563329964,
563429967,
563529985,
563629992,
563730000,
563830020,
563930024,
564030030,
564130066,
564230071,
564330078,
564430082,
564530096,
564630101,
564730102,
564830122,
564930141,
565030159,
565130168,
565230177,
565330183,
565430197,
565530213,
565630231,
565730232,
565830241,
565930253,
566030259,
566130262,
566230268,
566330297,
566430316,
566530322,
566630344,
566730350,
566830355,
566930429,
567030445,
567130477,
567230513,
567330520,
567430540,
567530551,
567630573,
567730609,
567830622,
567930635,
568030658,
568130667,
568230681,
568330684,
568430703,
568530705,
568630715,
568730742,
568830748,
568930758,
569030767,
569130770,
569230772,
569330807,
569430814,
569530824,
569630857,
569730875,
569830931,
569930933,
570030949,
570130953,
570230982,
570331010,
570431012,
570531039,
570631041,
570731061,
570831082,
570931087,
571031096,
571131115,
571231130,
571331168,
571431171,
571531177,
571631180,
571731191,
571831207,
571931247,
572031249,
572131285,
572231303,
572331310,
572431337,
572531352,
572631357,
572731374,
572831379,
572931388,
573031410,
573131416,
573231467,
573331495,
573431504,
573531507,
573631509,
573731514,
573831516,
573931530,
574031555,
574131567,
574231570,
574331586,
574431598,
574531605,
574631609,
574731612,
574831626,
574931634,
575031655,
575131681,
575231705,
575331706,
575431718,
575531735,
575631741,
575731744,
575831762,
575931774,
576031864,
576131874,
576231900,
576331910,
576431928,
576531965,
576631976,
576732016,
576832032,
576932037,
577032062,
577132069,
577232115,
577332128,
577432171,
577532173,
577632182,
577732191,
577832193,
577932194,
578032229,
578132230,
578232248,
578332263,
578432264,
578532269,
578632298,
578732335,
578832340,
578932356,
579032374,
579132390,
579232401,
579332414,
579432417,
579532442,
579632450,
579732461,
579832473,
579932479,
580032530,
580132536,
580232548,
580332577,
580432628,
580532642,
580632665,
580732666,
580832668,
580932696,
581032722,
581132757,
581232758,
5813-1 };
5814#endif
5815
5816#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_16
5817static const long PrimitivePolynomialDegree17[]={
58184,
58197,
582016,
582122,
582225,
582331,
582432,
582542,
582652,
582761,
582870,
582976,
583081,
583187,
583293,
583398,
5834122,
5835133,
5836134,
5837140,
5838146,
5839158,
5840171,
5841176,
5842179,
5843182,
5844191,
5845193,
5846224,
5847227,
5848229,
5849236,
5850248,
5851262,
5852273,
5853276,
5854280,
5855283,
5856290,
5857309,
5858316,
5859319,
5860321,
5861328,
5862346,
5863355,
5864367,
5865369,
5866372,
5867382,
5868388,
5869392,
5870395,
5871397,
5872403,
5873409,
5874410,
5875425,
5876443,
5877472,
5878475,
5879481,
5880488,
5881493,
5882501,
5883515,
5884522,
5885524,
5886527,
5887535,
5888542,
5889545,
5890555,
5891558,
5892560,
5893563,
5894570,
5895578,
5896583,
5897590,
5898597,
5899604,
5900608,
5901614,
5902635,
5903637,
5904653,
5905654,
5906659,
5907666,
5908671,
5909689,
5910690,
5911695,
5912713,
5913722,
5914733,
5915758,
5916770,
5917782,
5918784,
5919793,
5920803,
5921805,
5922812,
5923838,
5924849,
5925875,
5926877,
5927880,
5928892,
5929895,
5930899,
5931919,
5932920,
5933932,
5934935,
5935936,
5936941,
5937950,
5938961,
5939962,
5940971,
5941982,
5942986,
59431012,
59441021,
59451024,
59461029,
59471030,
59481051,
59491054,
59501064,
59511067,
59521082,
59531096,
59541116,
59551119,
59561129,
59571130,
59581132,
59591137,
59601147,
59611150,
59621154,
59631165,
59641166,
59651174,
59661177,
59671184,
59681194,
59691204,
59701208,
59711213,
59721219,
59731233,
59741264,
59751267,
59761281,
59771312,
59781321,
59791330,
59801332,
59811335,
59821341,
59831356,
59841371,
59851377,
59861380,
59871384,
59881395,
59891397,
59901411,
59911414,
59921426,
59931432,
59941435,
59951437,
59961442,
59971454,
59981468,
59991473,
60001488,
60011491,
60021509,
60031524,
60041533,
60051555,
60061567,
60071571,
60081586,
60091592,
60101595,
60111600,
60121606,
60131627,
60141648,
60151651,
60161654,
60171667,
60181669,
60191674,
60201687,
60211698,
60221710,
60231717,
60241722,
60251735,
60261741,
60271749,
60281750,
60291769,
60301775,
60311777,
60321778,
60331792,
60341797,
60351802,
60361822,
60371825,
60381831,
60391838,
60401852,
60411855,
60421860,
60431867,
60441869,
60451875,
60461882,
60471903,
60481908,
60491917,
60501927,
60511941,
60521945,
60531948,
60541962,
60551975,
60561976,
60571987,
60581993,
60592004,
60602020,
60612029,
60622030,
60632038,
60642041,
60652048,
60662054,
60672057,
60682058,
60692068,
60702072,
60712075,
60722077,
60732082,
60742084,
60752087,
60762101,
60772111,
60782113,
60792119,
60802147,
60812154,
60822161,
60832164,
60842177,
60852178,
60862184,
60872198,
60882201,
60892213,
60902217,
60912228,
60922240,
60932245,
60942250,
60952263,
60962267,
60972285,
60982286,
60992291,
61002298,
61012306,
61022325,
61032329,
61042332,
61052335,
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1307161540,
1307261550,
1307361557,
1307461562,
1307561577,
1307661583,
1307761597,
1307861602,
1307961604,
1308061607,
1308161622,
1308261625,
1308361633,
1308461640,
1308561643,
1308661651,
1308761658,
1308861670,
1308961674,
1309061676,
1309161679,
1309261688,
1309361693,
1309461701,
1309561711,
1309661714,
1309761723,
1309861725,
1309961726,
1310061729,
1310161741,
1310261761,
1310361779,
1310461781,
1310561782,
1310661797,
1310761809,
1310861810,
1310961816,
1311061822,
1311161849,
1311261876,
1311361893,
1311461905,
1311561908,
1311661911,
1311761912,
1311861928,
1311961934,
1312061957,
1312161961,
1312261969,
1312361979,
1312461982,
1312562003,
1312662006,
1312762010,
1312862015,
1312962020,
1313062024,
1313162029,
1313262032,
1313362035,
1313462038,
1313562047,
1313662068,
1313762071,
1313862082,
1313962088,
1314062096,
1314162108,
1314262124,
1314362142,
1314462147,
1314562153,
1314662159,
1314762161,
1314862171,
1314962189,
1315062207,
1315162227,
1315262230,
1315362234,
1315462236,
1315562239,
1315662257,
1315762270,
1315862278,
1315962287,
1316062295,
1316162301,
1316262306,
1316362312,
1316462317,
1316562330,
1316662342,
1316762359,
1316862365,
1316962366,
1317062370,
1317162375,
1317262376,
1317362387,
1317462404,
1317562411,
1317662435,
1317762441,
1317862442,
1317962452,
1318062459,
1318162461,
1318262473,
1318362474,
1318462493,
1318562510,
1318662518,
1318762524,
1318862549,
1318962556,
1319062565,
1319162566,
1319262580,
1319362584,
1319462589,
1319562596,
1319662608,
1319762636,
1319862642,
1319962651,
1320062654,
1320162659,
1320262666,
1320362680,
1320462692,
1320562701,
1320662702,
1320762714,
1320862716,
1320962733,
1321062762,
1321162769,
1321262770,
1321362787,
1321462794,
1321562801,
1321662807,
1321762808,
1321862813,
1321962817,
1322062818,
1322162832,
1322262841,
1322362857,
1322462860,
1322562871,
1322662882,
1322762888,
1322862913,
1322962919,
1323062920,
1323162925,
1323262933,
1323362938,
1323462940,
1323562949,
1323662956,
1323762971,
1323862978,
1323962990,
1324062995,
1324162997,
1324263004,
1324363011,
1324463032,
1324563038,
1324663067,
1324763069,
1324863076,
1324963083,
1325063088,
1325163094,
1325263097,
1325363100,
1325463104,
1325563114,
1325663116,
1325763122,
1325863128,
1325963149,
1326063150,
1326163157,
1326263167,
1326363187,
1326463200,
1326563220,
1326663223,
1326763229,
1326863235,
1326963247,
1327063252,
1327163255,
1327263289,
1327363298,
1327463303,
1327563327,
1327663328,
1327763348,
1327863355,
1327963357,
1328063368,
1328163391,
1328263402,
1328363409,
1328463416,
1328563419,
1328663430,
1328763442,
1328863457,
1328963458,
1329063482,
1329163487,
1329263488,
1329363500,
1329463511,
1329563517,
1329663528,
1329763531,
1329863559,
1329963566,
1330063578,
1330163580,
1330263584,
1330363587,
1330463594,
1330563607,
1330663611,
1330763630,
1330863632,
1330963641,
1331063647,
1331163651,
1331263666,
1331363668,
1331463695,
1331563697,
1331663709,
1331763723,
1331863737,
1331963746,
1332063752,
1332163755,
1332263775,
1332363781,
1332463794,
1332563796,
1332663808,
1332763817,
1332863820,
1332963826,
1333063838,
1333163848,
1333263861,
1333363862,
1333463866,
1333563878,
1333663889,
1333763892,
1333863901,
1333963915,
1334063917,
1334163926,
1334263932,
1334363937,
1334463938,
1334563943,
1334663944,
1334763950,
1334863952,
1334963955,
1335063957,
1335163961,
1335263962,
1335363978,
1335463983,
1335563988,
1335664008,
1335764013,
1335864019,
1335964026,
1336064028,
1336164032,
1336264042,
1336364044,
1336464055,
1336564070,
1336664079,
1336764084,
1336864087,
1336964093,
1337064100,
1337164104,
1337264109,
1337364140,
1337464148,
1337564151,
1337664152,
1337764171,
1337864179,
1337964186,
1338064203,
1338164206,
1338264213,
1338364214,
1338464220,
1338564233,
1338664239,
1338764248,
1338864251,
1338964259,
1339064268,
1339164273,
1339264279,
1339364283,
1339464292,
1339564296,
1339664301,
1339764302,
1339864324,
1339964331,
1340064346,
1340164364,
1340264382,
1340364386,
1340464400,
1340564409,
1340664419,
1340764433,
1340864454,
1340964458,
1341064482,
1341164494,
1341264496,
1341364505,
1341464514,
1341564519,
1341664525,
1341764528,
1341864534,
1341964561,
1342064571,
1342164579,
1342264591,
1342364606,
1342464616,
1342564619,
1342664640,
1342764645,
1342864649,
1342964652,
1343064670,
1343164673,
1343264674,
1343364683,
1343464697,
1343564703,
1343664711,
1343764723,
1343864736,
1343964739,
1344064741,
1344164748,
1344264759,
1344364768,
1344464771,
1344564778,
1344664792,
1344764821,
1344864831,
1344964839,
1345064848,
1345164860,
1345264867,
1345364870,
1345464874,
1345564879,
1345664887,
1345764894,
1345864897,
1345964898,
1346064921,
1346164933,
1346264940,
1346364957,
1346464969,
1346564972,
1346664978,
1346764984,
1346864993,
1346964999,
1347065000,
1347165006,
1347265011,
1347365014,
1347465036,
1347565044,
1347665063,
1347765067,
1347865075,
1347965077,
1348065082,
1348165095,
1348265101,
1348365104,
1348465109,
1348565110,
1348665116,
1348765126,
1348865129,
1348965138,
1349065160,
1349165171,
1349265173,
1349365180,
1349465189,
1349565193,
1349665208,
1349765214,
1349865216,
1349965225,
1350065236,
1350165239,
1350265273,
1350365274,
1350465281,
1350565294,
1350665324,
1350765335,
1350865354,
1350965359,
1351065373,
1351165383,
1351265387,
1351365397,
1351465411,
1351565413,
1351665418,
1351765441,
1351865444,
1351965447,
1352065448,
1352165473,
1352265476,
1352365480,
1352465494,
1352565509,
1352665519,
1352765527,
13528-1 };
13529#endif
13530
13531#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_17
13532static const long PrimitivePolynomialDegree18[]={
1353319,
1353431,
1353538,
1353661,
1353764,
13538109,
13539115,
13540118,
13541131,
13542167,
13543200,
13544241,
13545244,
13546247,
13547261,
13548265,
13549304,
13550314,
13551341,
13552376,
13553395,
13554405,
13555406,
13556443,
13557451,
13558458,
13559460,
13560468,
13561472,
13562482,
13563491,
13564496,
13565524,
13566536,
13567542,
13568557,
13569572,
13570580,
13571592,
13572656,
13573713,
13574719,
13575738,
13576749,
13577752,
13578767,
13579772,
13580782,
13581789,
13582830,
13583838,
13584916,
13585920,
13586936,
13587991,
13588998,
135891016,
135901024,
135911053,
135921081,
135931090,
135941125,
135951135,
135961143,
135971150,
135981154,
135991171,
136001174,
136011202,
136021213,
136031225,
136041233,
136051234,
136061252,
136071255,
136081294,
136091349,
136101354,
136111378,
136121383,
136131387,
136141392,
136151402,
136161420,
136171428,
136181437,
136191448,
136201459,
136211473,
136221507,
136231516,
136241528,
136251573,
136261592,
136271597,
136281654,
136291663,
136301730,
136311739,
136321741,
136331753,
136341783,
136351804,
136361807,
136371832,
136381850,
136391852,
136401881,
136411894,
136421927,
136431952,
136441969,
136451999,
136462018,
136472047,
136482066,
136492068,
136502093,
136512105,
136522116,
136532149,
136542201,
136552228,
136562245,
136572246,
136582283,
136592288,
136602320,
136612326,
136622386,
136632392,
136642395,
136652413,
136662419,
136672441,
136682466,
136692477,
136702485,
136712492,
136722495,
136732498,
136742504,
136752515,
136762521,
136772561,
136782579,
136792604,
136802657,
136812681,
136822691,
136832731,
136842739,
136852765,
136862790,
136872802,
136882819,
136892891,
136902905,
136912911,
136922912,
136932921,
136942924,
136952945,
136962952,
136972972,
136982986,
136993000,
137003008,
137013011,
137023018,
137033047,
137043071,
137053079,
137063083,
137073086,
137083148,
137093156,
137103194,
137113230,
137123233,
137133254,
137143268,
137153305,
137163323,
137173326,
137183343,
137193345,
137203382,
137213413,
137223420,
137233434,
137243453,
137253472,
137263488,
137273503,
137283506,
137293518,
137303532,
137313543,
137323547,
137333573,
137343574,
137353587,
137363632,
137373664,
137383713,
137393726,
137403768,
137413771,
137423810,
137433848,
137443868,
137453896,
137463910,
137473921,
137483928,
137493940,
137503947,
137513949,
137524001,
137534004,
137544022,
137554026,
137564036,
137574073,
137584093,
137594099,
137604120,
137614136,
137624156,
137634176,
137644182,
137654191,
137664198,
137674252,
137684259,
137694261,
137704294,
137714341,
137724348,
137734356,
137744384,
137754389,
137764401,
137774428,
137784431,
137794445,
137804470,
137814473,
137824474,
137834490,
137844509,
137854510,
137864533,
137874548,
137884558,
137894594,
137904596,
137914603,
137924610,
137934619,
137944630,
137954652,
137964658,
137974682,
137984708,
137994736,
138004753,
138014760,
138024781,
138034784,
138044799,
138054807,
138064808,
138074842,
138084882,
138094897,
138104900,
138114922,
138124936,
138134960,
138144970,
138154978,
138164994,
138175003,
138185044,
138195061,
138205107,
138215127,
138225131,
138235136,
138245145,
138255146,
138265175,
138275218,
138285223,
138295248,
138305294,
138315299,
138325301,
138335311,
138345343,
138355344,
138365396,
138375406,
138385410,
138395424,
138405447,
138415461,
138425468,
138435475,
138445478,
138455523,
138465530,
138475535,
138485548,
138495559,
138505580,
138515604,
138525622,
138535641,
138545649,
138555656,
138565671,
138575689,
138585721,
138595731,
138605734,
138615738,
138625740,
138635748,
138645791,
138655801,
138665807,
138675822,
138685829,
138695834,
138705847,
138715854,
138725878,
138735882,
138745919,
138755947,
138765981,
138775982,
138786025,
138796028,
138806039,
138816056,
138826064,
138836073,
138846081,
138856088,
138866101,
138876139,
138886142,
138896194,
138906199,
138916200,
138926203,
138936214,
138946238,
138956241,
138966244,
138976248,
138986256,
138996266,
139006271,
139016275,
139026295,
139036315,
139046364,
139056368,
139066377,
139076400,
139086430,
139096477,
139106480,
139116490,
139126526,
139136539,
139146556,
139156584,
139166598,
139176601,
139186609,
139196612,
139206645,
139216655,
139226679,
139236683,
139246719,
139256727,
139266734,
139276770,
139286776,
139296791,
139306798,
139316800,
139326826,
139336833,
139346836,
139356858,
139366882,
139376901,
139386923,
139396967,
139406979,
139417022,
139427060,
139437064,
139447083,
139457093,
139467094,
139477120,
139487125,
139497142,
139507151,
139517165,
139527173,
139537188,
139547191,
139557202,
139567216,
139577219,
139587267,
139597358,
139607383,
139617387,
139627396,
139637408,
139647432,
139657462,
139667480,
139677488,
139687497,
139697531,
139707561,
139717582,
139727591,
139737612,
139747677,
139757687,
139767701,
139777705,
139787712,
139797721,
139807736,
139817756,
139827777,
139837783,
139847792,
139857797,
139867802,
139877808,
139887866,
139897885,
139907891,
139917913,
139927936,
139937946,
139947963,
139957996,
139967999,
139978011,
139988014,
139998028,
140008047,
140018077,
140028101,
140038119,
140048125,
140058140,
140068152,
140078209,
140088212,
140098231,
140108258,
140118275,
140128303,
140138308,
140148312,
140158345,
140168346,
140178370,
140188402,
140198411,
140208414,
140218424,
140228435,
140238452,
140248462,
140258479,
140268509,
140278515,
140288522,
140298541,
140308560,
140318563,
140328585,
140338594,
140348596,
140358603,
140368610,
140378647,
140388661,
140398662,
140408672,
140418690,
140428696,
140438739,
140448783,
140458811,
140468813,
140478821,
140488856,
140498877,
140508885,
140518897,
140528898,
140538934,
140548955,
140558972,
140568977,
140579038,
140589045,
140599071,
140609085,
140619110,
140629120,
140639157,
140649164,
140659185,
140669203,
140679235,
140689278,
140699290,
140709292,
140719319,
140729334,
140739362,
140749387,
140759404,
140769407,
140779410,
140789422,
140799478,
140809512,
140819535,
140829604,
140839616,
140849622,
140859631,
140869656,
140879710,
140889721,
140899728,
140909733,
140919738,
140929774,
140939791,
140949803,
140959805,
140969817,
140979823,
140989839,
140999847,
141009854,
141019863,
141029872,
141039884,
141049935,
141059937,
141069974,
141079980,
1410810003,
1410910015,
1411010016,
1411110066,
1411210093,
1411310118,
1411410132,
1411510135,
1411610151,
1411710158,
1411810169,
1411910172,
1412010180,
1412110187,
1412210189,
1412310192,
1412410197,
1412510211,
1412610214,
1412710256,
1412810278,
1412910290,
1413010301,
1413110310,
1413210344,
1413310473,
1413410474,
1413510482,
1413610499,
1413710525,
1413810532,
1413910535,
1414010556,
1414110568,
1414210579,
1414310586,
1414410609,
1414510612,
1414610650,
1414710665,
1414810685,
1414910686,
1415010688,
1415110711,
1415210728,
1415310748,
1415410751,
1415510781,
1415610805,
1415710823,
1415810838,
1415910857,
1416010865,
1416110872,
1416210893,
1416310899,
1416410917,
1416510935,
1416611001,
1416711072,
1416811089,
1416911090,
1417011108,
1417111117,
1417211136,
1417311148,
1417411153,
1417511181,
1417611190,
1417711201,
1417811204,
1417911216,
1418011237,
1418111259,
1418211279,
1418311282,
1418411304,
1418511312,
1418611332,
1418711341,
1418811354,
1418911356,
1419011365,
1419111377,
1419211417,
1419311427,
1419411433,
1419511434,
1419611439,
1419711444,
1419811448,
1419911461,
1420011466,
1420111468,
1420211473,
1420311489,
1420411499,
1420511516,
1420611531,
1420711533,
1420811557,
1420911572,
1421011608,
1421111635,
1421211638,
1421311644,
1421411684,
1421511702,
1421611740,
1421711749,
1421811754,
1421911764,
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20928124903,
20929124915,
20930124938,
20931124945,
20932124973,
20933124986,
20934124991,
20935125011,
20936125014,
20937125082,
20938125105,
20939125163,
20940125165,
20941125205,
20942125219,
20943125239,
20944125240,
20945125257,
20946125284,
20947125302,
20948125327,
20949125336,
20950125355,
20951125363,
20952125365,
20953125372,
20954125378,
20955125383,
20956125387,
20957125390,
20958125414,
20959125435,
20960125466,
20961125481,
20962125522,
20963125531,
20964125544,
20965125564,
20966125588,
20967125602,
20968125613,
20969125621,
20970125648,
20971125651,
20972125681,
20973125719,
20974125773,
20975125774,
20976125779,
20977125786,
20978125792,
20979125822,
20980125828,
20981125831,
20982125837,
20983125880,
20984125891,
20985125922,
20986125928,
20987125931,
20988125941,
20989125948,
20990125960,
20991125973,
20992126014,
20993126016,
20994126036,
20995126043,
20996126062,
20997126076,
20998126116,
20999126125,
21000126145,
21001126152,
21002126175,
21003126188,
21004126199,
21005126205,
21006126213,
21007126220,
21008126286,
21009126294,
21010126300,
21011126322,
21012126324,
21013126343,
21014126344,
21015126430,
21016126433,
21017126448,
21018126451,
21019126457,
21020126458,
21021126463,
21022126470,
21023126484,
21024126518,
21025126521,
21026126547,
21027126556,
21028126583,
21029126584,
21030126633,
21031126673,
21032126680,
21033126686,
21034126689,
21035126702,
21036126710,
21037126722,
21038126787,
21039126789,
21040126794,
21041126801,
21042126857,
21043126891,
21044126896,
21045126902,
21046126911,
21047126919,
21048126943,
21049126947,
21050126949,
21051126953,
21052126971,
21053126976,
21054126982,
21055127009,
21056127021,
21057127027,
21058127039,
21059127041,
21060127044,
21061127059,
21062127071,
21063127075,
21064127126,
21065127129,
21066127145,
21067127154,
21068127165,
21069127171,
21070127197,
21071127198,
21072127207,
21073127226,
21074127240,
21075127254,
21076127269,
21077127305,
21078127323,
21079127342,
21080127347,
21081127363,
21082127394,
21083127426,
21084127432,
21085127440,
21086127462,
21087127468,
21088127473,
21089127486,
21090127502,
21091127510,
21092127523,
21093127543,
21094127567,
21095127570,
21096127585,
21097127588,
21098127619,
21099127621,
21100127626,
21101127628,
21102127640,
21103127662,
21104127684,
21105127687,
21106127693,
21107127696,
21108127708,
21109127711,
21110127722,
21111127732,
21112127747,
21113127767,
21114127771,
21115127790,
21116127816,
21117127824,
21118127833,
21119127869,
21120127910,
21121127928,
21122127933,
21123127963,
21124127975,
21125128016,
21126128031,
21127128059,
21128128074,
21129128107,
21130128122,
21131128157,
21132128161,
21133128200,
21134128213,
21135128229,
21136128233,
21137128241,
21138128259,
21139128295,
21140128299,
21141128313,
21142128345,
21143128362,
21144128375,
21145128376,
21146128406,
21147128410,
21148128416,
21149128443,
21150128451,
21151128465,
21152128466,
21153128484,
21154128499,
21155128502,
21156128524,
21157128536,
21158128541,
21159128542,
21160128592,
21161128598,
21162128623,
21163128632,
21164128671,
21165128713,
21166128724,
21167128731,
21168128761,
21169128767,
21170128782,
21171128793,
21172128805,
21173128820,
21174128830,
21175128842,
21176128852,
21177128859,
21178128866,
21179128875,
21180128892,
21181128896,
21182128914,
21183128935,
21184128964,
21185128973,
21186129001,
21187129007,
21188129012,
21189129021,
21190129026,
21191129055,
21192129071,
21193129093,
21194129105,
21195129124,
21196129148,
21197129151,
21198129155,
21199129161,
21200129200,
21201129224,
21202129230,
21203129237,
21204129298,
21205129300,
21206129316,
21207129345,
21208129351,
21209129352,
21210129363,
21211129393,
21212129410,
21213129415,
21214129449,
21215129477,
21216129501,
21217129518,
21218129520,
21219129545,
21220129563,
21221129594,
21222129608,
21223129616,
21224129652,
21225129659,
21226129680,
21227129692,
21228129738,
21229129764,
21230129782,
21231129793,
21232129820,
21233129824,
21234129829,
21235129848,
21236129854,
21237129861,
21238129879,
21239129886,
21240129907,
21241129949,
21242129953,
21243129980,
21244129998,
21245130031,
21246130043,
21247130057,
21248130065,
21249130087,
21250130091,
21251130096,
21252130101,
21253130111,
21254130126,
21255130137,
21256130138,
21257130149,
21258130177,
21259130180,
21260130214,
21261130228,
21262130240,
21263130267,
21264130280,
21265130294,
21266130306,
21267130325,
21268130398,
21269130402,
21270130421,
21271130438,
21272130441,
21273130475,
21274130486,
21275130503,
21276130551,
21277130574,
21278130602,
21279130612,
21280130621,
21281130633,
21282130684,
21283130688,
21284130698,
21285130700,
21286130712,
21287130739,
21288130748,
21289130774,
21290130783,
21291130802,
21292130811,
21293130836,
21294130840,
21295130856,
21296130864,
21297130873,
21298130918,
21299130927,
21300130929,
21301130958,
21302130966,
21303130970,
21304130976,
21305131006,
21306131008,
21307131020,
21308131059,
21309-1 };
21310#endif
21311
21312/* download the 8129334 polinomials version if you need higher dimensions */
21313#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_18
21314#error too many polynomials requested. not provided by this file
21315#endif
21316
21317#ifdef __cplusplus
21318
21319extern "C"
21320
21321#endif
21322
21324 PrimitivePolynomialDegree01
21325#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_01
21326 , PrimitivePolynomialDegree02
21327#endif
21328#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_02
21329 , PrimitivePolynomialDegree03
21330#endif
21331#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_03
21332 , PrimitivePolynomialDegree04
21333#endif
21334#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_04
21335 , PrimitivePolynomialDegree05
21336#endif
21337#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_05
21338 , PrimitivePolynomialDegree06
21339#endif
21340#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_06
21341 , PrimitivePolynomialDegree07
21342#endif
21343#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_07
21344 , PrimitivePolynomialDegree08
21345#endif
21346#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_08
21347 , PrimitivePolynomialDegree09
21348#endif
21349#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_09
21350 , PrimitivePolynomialDegree10
21351#endif
21352#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_10
21353 , PrimitivePolynomialDegree11
21354#endif
21355#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_11
21356 , PrimitivePolynomialDegree12
21357#endif
21358#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_12
21359 , PrimitivePolynomialDegree13
21360#endif
21361#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_13
21362 , PrimitivePolynomialDegree14
21363#endif
21364#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_14
21365 , PrimitivePolynomialDegree15
21366#endif
21367#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_15
21368 , PrimitivePolynomialDegree16
21369#endif
21370#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_16
21371 , PrimitivePolynomialDegree17
21372#endif
21373#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_17
21374 , PrimitivePolynomialDegree18
21375#endif
21376};
const long *const PrimitivePolynomials[N_MAX_DEGREE]
#define N_MAX_DEGREE