Sharedwww / tables / discsk.gpOpen in CoCalc
Author: William A. Stein
1
\\ discsk.gp
2
\\ This is a PARI readable file of discriminants of Hecke
3
\\ algebras acting on S_2(Gamma_0(N)) for N
4
\\ in the range: 1 <= N <= 389.
5
\\ Computed by William Stein ([email protected]).
6
\\ JANUARY 28, 1999.
7
8
discsk=vector(389,x,0);
9
10
discsk[11] = 1;
11
discsk[14] = 1;
12
discsk[15] = 1;
13
discsk[17] = 1;
14
discsk[19] = 1;
15
discsk[20] = 1;
16
discsk[21] = 1;
17
discsk[22] = -4;
18
discsk[23] = 5;
19
discsk[24] = 1;
20
discsk[26] = 4;
21
discsk[27] = 1;
22
discsk[28] = 1;
23
discsk[29] = 8;
24
discsk[30] = -28;
25
discsk[31] = 5;
26
discsk[32] = 1;
27
discsk[33] = -99;
28
discsk[34] = -28;
29
discsk[35] = 68;
30
discsk[36] = 1;
31
discsk[37] = 4;
32
discsk[38] = -288;
33
discsk[39] = 32;
34
discsk[40] = 0;
35
discsk[41] = 148;
36
discsk[42] = 3584;
37
discsk[43] = 32;
38
discsk[44] = -64;
39
discsk[45] = 4;
40
discsk[46] = 102500;
41
discsk[47] = 1957;
42
discsk[48] = 0;
43
discsk[49] = 1;
44
discsk[50] = 4;
45
discsk[51] = -13056;
46
discsk[52] = 144;
47
discsk[53] = 592;
48
discsk[54] = -2592;
49
discsk[55] = -29792;
50
discsk[56] = 0;
51
discsk[57] = -4608;
52
discsk[58] = 69632;
53
discsk[59] = 138136;
54
discsk[60] = 129024;
55
discsk[61] = 592;
56
discsk[62] = 23812800;
57
discsk[63] = 768;
58
discsk[64] = 0;
59
discsk[65] = 6144;
60
discsk[66] = -7025356800;
61
discsk[67] = 10000;
62
discsk[68] = -193536;
63
discsk[69] = 11858000;
64
discsk[70] = 3409182720;
65
discsk[71] = 5349969;
66
discsk[72] = 0;
67
discsk[73] = 9360;
68
discsk[74] = 119808000;
69
discsk[75] = 1296;
70
discsk[76] = -1492992;
71
discsk[77] = -27648000;
72
discsk[78] = -20177013964800;
73
discsk[79] = 326356;
74
discsk[80] = 0;
75
discsk[81] = 0;
76
discsk[82] = -1031766016;
77
discsk[83] = 36238544;
78
discsk[84] = -9512681472;
79
discsk[85] = -6291456;
80
discsk[86] = -303464448000;
81
discsk[87] = 45277660160;
82
discsk[88] = 0;
83
discsk[89] = 53512000;
84
discsk[90] = -23018340352;
85
discsk[91] = 2588672;
86
discsk[92] = 472320000000;
87
discsk[93] = 1875968000;
88
discsk[94] = 1979536565010944;
89
discsk[95] = -95738277888;
90
discsk[96] = 0;
91
discsk[97] = 8708672;
92
discsk[98] = -917504;
93
discsk[99] = -5986151424;
94
discsk[100] = 20736;
95
discsk[101] = 4497604352;
96
discsk[102] = 363221256106313515008;
97
discsk[103] = 559940560;
98
discsk[104] = 0;
99
discsk[105] = -621243397046272000;
100
discsk[106] = 1365591667507200;
101
discsk[107] = 71242512320;
102
discsk[108] = 0;
103
discsk[109] = 378176512;
104
discsk[110] = -4477094093092867276800;
105
discsk[111] = 38131271270400;
106
discsk[112] = 0;
107
discsk[113] = 52619922432;
108
discsk[114] = -7733183569584979968000000;
109
discsk[115] = 138024550400000;
110
discsk[116] = 295708498329600;
111
discsk[117] = 103079215104;
112
discsk[118] = -28440775485196075008;
113
discsk[119] = -1866934274015232;
114
discsk[120] = 0;
115
discsk[121] = 82944;
116
discsk[122] = 12214167477591998464;
117
discsk[123] = -2291656323550412800;
118
discsk[124] = 229430971072512000;
119
discsk[126] = 126687552302824921497600;
120
discsk[127] = 3129328302912;
121
discsk[128] = 0;
122
discsk[129] = -672398605025280000;
123
discsk[130] = -2442062029795664855040000;
124
discsk[131] = 8932256557550080;
125
discsk[132] = -14620550186246602752000000;
126
discsk[133] = -58076592537600;
127
discsk[134] = -81658182672000000000000;
128
discsk[135] = 0;
129
discsk[136] = 0;
130
discsk[137] = 266515394278400;
131
discsk[138] = 72551711657440647630028800000000000;
132
discsk[139] = 242189680787712;
133
discsk[140] = 19138609808356902174720000;
134
discsk[141] = 27626138223730947145728;
135
discsk[142] = 14554517432650224359722205184;
136
discsk[143] = -18196056815164784640;
137
discsk[144] = 0;
138
discsk[145] = 2031405529825280000;
139
discsk[146] = -7064546609848094451302400;
140
discsk[147] = -156616787755008;
141
discsk[148] = 1423108699324416000000;
142
discsk[149] = 59025988096036864;
143
discsk[150] = -2368287468185400115200000000;
144
discsk[151] = 17505432660713536;
145
discsk[152] = 0;
146
discsk[153] = -47255826687300993024;
147
discsk[154] = 13268995682172774471696384000000000;
148
discsk[155] = 97684868603303690240000;
149
discsk[156] = 2206520949759891663601312727040000;
150
discsk[157] = 9680383017312256;
151
discsk[158] = 13985720119871554212187235942400;
152
discsk[159] = 70701873012122989064945664;
153
discsk[160] = 0;
154
discsk[161] = 174417767327124684800000;
155
discsk[162] = 0;
156
discsk[163] = 1598161946303102976;
157
discsk[164] = -24099870734684499694583808;
158
discsk[165] = -73056984589120072383297215476531200;
159
discsk[166] = -215162134002440553453319975075840;
160
discsk[167] = 3376091420085950522960;
161
discsk[168] = 0;
162
discsk[169] = 52665570048;
163
discsk[170] = 120394807144359592096391097640550400000;
164
discsk[171] = -977403699802905262424064;
165
discsk[172] = -1909592158002053382144000000;
166
discsk[173] = 466330493022481203200;
167
discsk[174] = -698277578624643584346589627331062127394816000000;
168
discsk[175] = 540800018546688000000;
169
discsk[176] = 0;
170
discsk[177] = -37210850708378474951258669056000;
171
discsk[178] = -1668882665251155171117891584000000;
172
discsk[179] = 376106765968299134619648;
173
discsk[180] = -697258606096094276308542821498880;
174
discsk[181] = 165269599768744755200;
175
discsk[182] = 23103245569751786481439046471638465904640000;
176
discsk[183] = 1521683430228511930174471667712;
177
discsk[184] = 0;
178
discsk[185] = 639184232371548976809246720;
179
discsk[186] = 8688805396238902775289583484514692572486041600000000;
180
discsk[187] = 1601662776472657659219148800;
181
discsk[188] = 217701203026776577174582858497392640;
182
discsk[189] = 0;
183
discsk[190] = -49026115825850205575277135833126397994327867392000;
184
discsk[191] = 263726848514987748566577360;
185
discsk[192] = 0;
186
discsk[193] = 19656869582861297008640;
187
discsk[194] = -32661604947465362029068062572534562816;
188
discsk[195] = -160305148223637509298834021592941976564531200;
189
discsk[196] = -969951572318503305216;
190
discsk[197] = 5589345661025200458956800;
191
discsk[198] = -2777444107657471753045505218564430367817728000000;
192
discsk[199] = 5334862651204822097568000;
193
discsk[200] = 0;
194
discsk[201] = -130101215631225726361927680000000000;
195
discsk[202] = 3820985591183651829161674565140258750464;
196
discsk[203] = 53151756101552287784398277836800;
197
discsk[204] = 723069386071572260737615884943994508366783637880832;
198
discsk[205] = -28678608897101487124891765309440;
199
discsk[206] = 75999888846154799437629995917527817912320000;
200
discsk[207] = 1014465004154951477734932480000000;
201
discsk[208] = 0;
202
discsk[209] = 370416482647041038970204979200000;
203
discsk[210] = 64436336893857233992887590818649795071069950966039991429422323318269988044800000000;
204
discsk[211] = 509702394499512636693626880;
205
discsk[212] = 189877216921675795442680088556994560000;
206
discsk[213] = 40516315602776957868886364410036224000000;
207
discsk[214] = -37363013270530234949090832101684799508316160000;
208
discsk[215] = -3278035783232110943663553130581196800;
209
discsk[216] = 0;
210
discsk[217] = 4037170067905475266005801369600;
211
discsk[218] = 6490602098533986691683704950668755533635256320;
212
discsk[219] = -5889330493281136191251465554184110080000;
213
discsk[220] = 54897005495701191795487687527239845593875396689920000;
214
discsk[221] = -36148940351171395370090496000000;
215
discsk[222] = -88539386985875331613103182148668808091407749362942392401920000000000;
216
discsk[223] = 100448604056140250918397673472;
217
discsk[224] = 0;
218
discsk[225] = 1869841788726096691200000;
219
discsk[226] = -1254378939987508487984637778729752830133927936000;
220
discsk[227] = 157319195998094906222789328896000;
221
discsk[228] = -613687876129972368025786501568553109156597334016000000000000;
222
discsk[229] = 66513250958492432950857039872;
223
discsk[230] = 2758608771383074554578266212019738913726791680000000000000000000;
224
discsk[231] = -1459191222571750161331220199695821307904000000000000000;
225
discsk[232] = 0;
226
discsk[233] = 38172911920696001071519352487936;
227
discsk[234] = -259968140183076225736708531043923859922257221931709235200000000;
228
discsk[235] = 14792049473653559115339299593544244658176;
229
discsk[236] = -5657558232243373538648315610904543639778623488;
230
discsk[237] = 40902440935822055999124884700790458522009600;
231
discsk[238] = -352063760888385449008782695618959068243922828536997577452683264000;
232
discsk[239] = 470027586829190606259137031393107008;
233
discsk[240] = 0;
234
discsk[241] = 16462868415195386119554351497216;
235
discsk[242] = 452506578749334388430168666406912000000;
236
discsk[243] = 0;
237
discsk[244] = 74946381791014471227274615662346870919824146432;
238
discsk[245] = -1388276165946279865787074602483056640;
239
discsk[246] = 96758339526145300632324563616048999984351468224648949523695009792000000000000;
240
discsk[247] = -282541867609531103453625219809280000;
241
discsk[248] = 0;
242
discsk[249] = -521472569748238617044678168027038126896808407859200;
243
discsk[250] = 0;
244
discsk[251] = 77930545483177596463257199888050995200;
245
discsk[252] = 615192697925610876123892656146863830316173278972619207475200;
246
discsk[253] = -271241415715118390270260565256437760000000;
247
discsk[254] = 295608229502625846479324975870363012693322655943313082810368;
248
discsk[255] = -3977686514703169140506848170554048013669618491702871041507328000;
249
discsk[256] = 0;
250
discsk[257] = 4632034933973193960326082870464479232;
251
discsk[258] = -47910725119823095623860449523797979569059795931221072083008094208000000000000000000;
252
discsk[259] = 19059756837962743801092202002452054016000;
253
discsk[260] = -743212356817038584412057368267893632192518439447004144730112000000;
254
discsk[261] = 15903075302861335809996565957471419079065600000;
255
discsk[262] = -20319924530763824247576230145251275655177283880016620290048000;
256
discsk[263] = 3648491137701267023743274266685685257216;
257
discsk[264] = 0;
258
discsk[265] = 2910255717729814074698505166242573189120000000;
259
discsk[266] = 88318766099375013895176387944605310859877146919123861342286763786240000000;
260
discsk[267] = -55310062423808125963695896162186665853536174080000000000;
261
discsk[268] = -422938591687840827289997873774592000000000000000000000;
262
discsk[269] = 2480385377234364551111267061998951596032;
263
discsk[270] = 0;
264
discsk[271] = 503560028879699706738274705969384968192;
265
discsk[272] = 0;
266
discsk[273] = -2979205624214200609303192998676593217299631475896685124648960000;
267
discsk[274] = -2258789067570997273277119514953036970912109606512156202762240000;
268
discsk[275] = -19230974659198835203853128826880000000000000000;
269
discsk[276] = -17821860245737081994411244932982061068881917793503431559741440000000000000000000000;
270
discsk[277] = 145406117804045957492741443542738534400;
271
discsk[278] = -3571241009699572978533544971640936277892699263175113866878577016832;
272
discsk[279] = 872676902829234342323253429892965426014453760000000;
273
discsk[280] = 0;
274
discsk[281] = 385512067185737746927590886932785953505280;
275
discsk[282] = 2524504066798317570735580251675311204011943957199924066444967499618864741695909072223726469120000;
276
discsk[283] = 87907119444103006016727243448648837627904;
277
discsk[284] = 10059329869191515728465743097520407237118156853016473539671228416;
278
discsk[285] = -1318552598547254500654190264097426855660533212995482470211686385477222400000;
279
discsk[286] = -3532608578993920187942582961817668732655012959433956329273137152839909376000000000;
280
discsk[287] = -18762049148915102156866630591954920148462728747417600;
281
discsk[288] = 0;
282
discsk[289] = 2206851164668303099167818907648;
283
discsk[290] = -1474932266105522061914410325763369297238611407323419584947937096816457154560000000000;
284
discsk[291] = -762069753145755331752086978661566789843810920779994890240000;
285
discsk[292] = -2984736024846465210542015392488304528982656596798854922240000;
286
discsk[293] = 67213382431022002753799188108110867273351168;
287
discsk[294] = 1714433975424498278533262637577962566165487166443511757076663101855400537882624000000;
288
discsk[295] = -448863941416424040813495108508924307363035469631725764608;
289
discsk[296] = 0;
290
discsk[297] = 0;
291
discsk[298] = 29030729757627618138929410349896333074253711286992039627271432463974400;
292
discsk[299] = 123947213190641405917546395619018951517798400000000000;
293
discsk[300] = 8706971808658025809162510930800877562909168829760693862400000000000000000000;
294
discsk[301] = -190667186878925249469652792667387155680833598128128;
295
discsk[302] = 10636626375990613990679536785695993386035973710217793230099505788716318720000;
296
discsk[303] = 749286229895770552787516823263607354249645422485071936579421863936;
297
discsk[304] = 0;
298
discsk[305] = 19118160674607603274029355148975808492477011422699585536;
299
discsk[306] = 124250306460332817179684001600703396087564031310470002544807280501806685847728776156282880000;
300
discsk[307] = 7249681120377432476047252109426867581747200000;
301
discsk[308] = -1898739914270785707226843691964033899031266717702322319876580966400000000000000000;
302
discsk[309] = 70086730799403434962718759580986060731949655568945250304000000000;
303
discsk[310] = 3598753259947369146093230505179553466512177505264497859339415823499109727292115386368000000000000;
304
discsk[311] = 1178226289675267388936933070615181329158828055737600;
305
discsk[312] = 0;
306
discsk[313] = 3309374222651818810149507495098997502577213440;
307
discsk[314] = 4433730255748278058691112719338427659402187213150464748841961826863074508800;
308
discsk[315] = -171017355806081395211257597019582824634585510168560134297367623990509568000000000;
309
discsk[316] = 145173872635759873478784693225802008359571432222677408778659341271040000;
310
discsk[317] = 5491865247553993903328914076255854207882049355776;
311
discsk[318] = -9274408950271973047950456029915545562946318883028483019470039021075916762109019446198074882816863109120000000000;
312
discsk[319] = -1387154836781938652536977406922158612699365352584039628800;
313
discsk[320] = 0;
314
discsk[321] = -125669676060769172475212207995060133939211967921141808416704954368000000;
315
discsk[322] = -4020845186075756957418970194034606130347030215812173977437530094533214585487360000000000000000000;
316
discsk[323] = 328492062745933005098340673068223629601992765717086208000;
317
discsk[324] = 0;
318
discsk[325] = 591165485874903545106755348651840995590144000000000000;
319
discsk[326] = -3839357247184090512301836185233001626620094089613830694801300611830519094784819200;
320
discsk[327] = 17815020202769443044315193668291689675704189771321279150258534282690560;
321
discsk[328] = 0;
322
discsk[329] = 504608193972332853098327845140254355582237443744564024180736000;
323
discsk[330] = 18804323690629002427807848428140172808827637032716397373601977631186091225246443225193543137774545544065398818436797022700419678208000000000000000000000;
324
discsk[331] = 582539585803375509326981044499497922116988165947392;
325
discsk[332] = -846212809540057118767470514324673881518272230615109956668898213964336332800;
326
discsk[333] = 53903195098399547248324518651919826363514630030248009269248000000;
327
discsk[334] = 34985299669808508350173016874221549275674759750388238016347761679661793390192754688000000;
328
discsk[335] = -8965110868872793650938887432922250553145298143381840461824000000000;
329
discsk[336] = 0;
330
discsk[337] = 458799033966540904938098116427571565345991039123456;
331
discsk[338] = 27818591473051677271334874906219905630200647977885302418598946406400;
332
discsk[339] = -14681075339861525213788984394314384026722287990936728738526420875212759236608;
333
discsk[340] = -1848076704995728237107012126966013784663456325860480677067115985291738809682497897706291200000000;
334
discsk[341] = -867260392409563218076131726918253918304513493565440000000000000;
335
discsk[342] = -88819280713786045132093359290818048158655644632035444457333892873789219979803946220789956608000000000000000000;
336
discsk[343] = 0;
337
discsk[344] = 0;
338
discsk[345] = -91115950757182898310968797075967867167843184354418697074400739088818975539200000000000000000000000;
339
discsk[346] = 500548522514650139194135982457571819133961198741458833928520453264485716623810887680000;
340
discsk[347] = 668906872383058108605343862009600651419991199381811363840;
341
discsk[348] = 61375856179542709465903459078301338863321189221599834995337201118558073947098911187448332340428800000000000000000;
342
discsk[349] = 258791439663340974495701856869939693594814344050245632;
343
discsk[350] = 13653660850612711932896873191503471589429403519158389202126032182496460800000000000000000000000000000000000;
344
discsk[351] = 0;
345
discsk[352] = 0;
346
discsk[353] = 430928988822851842709205794173920740778371450770103992320;
347
discsk[354] = -390583170471126519713078284314756076651852063574427654488614313104172032333744910999061296739180471291744669715660800000000000000;
348
discsk[355] = 4180519983132374455431399807821435232478614213499813528172218376257536000;
349
discsk[356] = -1354539578848743744819190900073374127241968128556309671513426424418533376000000000;
350
discsk[357] = -112321419732325615698567529932211922418218747665681135706826403640158890089236879193744514352152576;
351
discsk[358] = -6097048648910163779423614360046919390127448495418193452181248408793926272422654990142668800000;
352
discsk[359] = 8734719219424090461678116983507117901557817048744061183197184;
353
discsk[360] = 0;
354
discsk[361] = 361159395671597597153351769784320000000000000;
355
discsk[362] = 642083529315186584441020983104007048910601582164880255611203605645437843756268755353600000000;
356
discsk[363] = 28984626873921741489956740497420286388687076037446598656000000000000000;
357
discsk[364] = 322208745333762832110458167198099182866126104133135656014278249924629439922047184854990192640000000000;
358
discsk[365] = -674912929175103440681954930680053205404806641817442714809637273600000000;
359
discsk[366] = -1555981892528185470227782927740988711599670724021222981362383068359224600215872508226855032390740796210744959042375817630580819886080000;
360
discsk[367] = 50718049214364004275157744072724336787422256806472938684416;
361
discsk[368] = 0;
362
discsk[369] = -36838680145581388204510084356543306569962506097686290165704883775209472000000;
363
discsk[370] = -567429136852512871912225847904136351735871900557706611523143061012138006055658955595192494553431252989378560000000000;
364
discsk[371] = 16742935698459030179123392076393650330911552854512431380377296804249600000;
365
discsk[372] = -123671112938807550227345359165235079874476260337086611582843527285643830850794374456835212119672443384102912000000000000000;
366
discsk[373] = 29664663538398027932288959293628947823762572273455961473024;
367
discsk[374] = 3474259848880844822339586062906088348697458089698633701277284518668851495194917412163865804800000000000000000000;
368
discsk[375] = 0;
369
discsk[376] = 0;
370
discsk[377] = 14893722831549662226955210286074766455294447419406003925766950092800;
371
discsk[378] = 0;
372
discsk[379] = 20242822427489193242852539833037211505245233162020747112087552;
373
discsk[380] = 86041606984648670641768015737965617052300154439041618009876189698876175625157997596046385315478274230452224000000000;
374
discsk[381] = 606692675244747470897127784365269111287821057273944925952296495422217176141640656486400;
375
discsk[382] = 10136500079536284920669930329793692673325973382881016288026160094881712052243349967927741504934725550080000;
376
discsk[383] = 340692544513520902173490102618201822610855701865671374233266094080;
377
discsk[384] = 0;
378
discsk[385] = -107720935579815619475240176176115347291103330195955847284989648094302088896030389043200000000000000000;
379
discsk[386] = -78660846887449530400664104299137890406010401472546341112482954710590104510076905331823566913536000000;
380
discsk[387] = -6723118077528679700607774070189544041160503964762888629692347606630400000000000000;
381
discsk[388] = -1360022769932263410554532290136118135858087928845102743936481453155608567036607544978046976;
382
discsk[389] = 62967005472006188288017473632139259549820493155023510831104000000;
383