Sharedwww / tables / discnew.gpOpen in CoCalc
Author: William A. Stein
1
\\ discnew.gp
2
\\ This is a PARI readable file of discriminants of Hecke
3
\\ algebras acting on S_2^new(Gamma_0(N)) for N
4
\\ in the range: 1 <= N <= 389.
5
\\ Computed by William Stein ([email protected]keley.edu)
6
\\ JANUARY 28, 1999.
7
8
discnew=vector(389,x,[]);
9
10
discnew[11] = 1;
11
discnew[14] = 1;
12
discnew[15] = 1;
13
discnew[17] = 1;
14
discnew[19] = 1;
15
discnew[20] = 1;
16
discnew[21] = 1;
17
discnew[23] = 5;
18
discnew[24] = 1;
19
discnew[26] = 4;
20
discnew[27] = 1;
21
discnew[29] = 8;
22
discnew[30] = 1;
23
discnew[31] = 5;
24
discnew[32] = 1;
25
discnew[33] = 1;
26
discnew[34] = 1;
27
discnew[35] = 68;
28
discnew[36] = 1;
29
discnew[37] = 4;
30
discnew[38] = 4;
31
discnew[39] = 32;
32
discnew[40] = 1;
33
discnew[41] = 148;
34
discnew[42] = 1;
35
discnew[43] = 32;
36
discnew[44] = 1;
37
discnew[45] = 1;
38
discnew[46] = 1;
39
discnew[47] = 1957;
40
discnew[48] = 1;
41
discnew[49] = 1;
42
discnew[50] = 4;
43
discnew[51] = 68;
44
discnew[52] = 1;
45
discnew[53] = 592;
46
discnew[54] = 4;
47
discnew[55] = 32;
48
discnew[56] = 4;
49
discnew[57] = 36;
50
discnew[58] = 4;
51
discnew[59] = 138136;
52
discnew[61] = 592;
53
discnew[62] = 48;
54
discnew[63] = 48;
55
discnew[64] = 1;
56
discnew[65] = 6144;
57
discnew[66] = 16;
58
discnew[67] = 10000;
59
discnew[68] = 12;
60
discnew[69] = 80;
61
discnew[70] = 1;
62
discnew[71] = 5349969;
63
discnew[72] = 1;
64
discnew[73] = 9360;
65
discnew[74] = 1040;
66
discnew[75] = 36;
67
discnew[76] = 1;
68
discnew[77] = 8000;
69
discnew[78] = 1;
70
discnew[79] = 326356;
71
discnew[80] = 4;
72
discnew[81] = 12;
73
discnew[82] = 32;
74
discnew[83] = 36238544;
75
discnew[84] = 4;
76
discnew[85] = 6144;
77
discnew[86] = 1680;
78
discnew[87] = 18320;
79
discnew[88] = 1088;
80
discnew[89] = 53512000;
81
discnew[90] = 16;
82
discnew[91] = 2588672;
83
discnew[92] = 4;
84
discnew[93] = 18320;
85
discnew[94] = 32;
86
discnew[95] = 107450368;
87
discnew[96] = 4;
88
discnew[97] = 8708672;
89
discnew[98] = 32;
90
discnew[99] = 1296;
91
discnew[100] = 1;
92
discnew[101] = 4497604352;
93
discnew[102] = 16;
94
discnew[103] = 559940560;
95
discnew[104] = 68;
96
discnew[105] = 80;
97
discnew[106] = 144;
98
discnew[107] = 71242512320;
99
discnew[108] = 1;
100
discnew[109] = 378176512;
101
discnew[110] = 8448;
102
discnew[111] = 58953728;
103
discnew[112] = 64;
104
discnew[113] = 52619922432;
105
discnew[114] = 16;
106
discnew[115] = 4901440;
107
discnew[116] = 400;
108
discnew[117] = 6144;
109
discnew[118] = 144;
110
discnew[119] = 1080401778944;
111
discnew[120] = 4;
112
discnew[121] = 144;
113
discnew[122] = 190528;
114
discnew[123] = 2588672;
115
discnew[124] = 4;
116
discnew[125] = 687500000000;
117
discnew[126] = 4;
118
discnew[127] = 3129328302912;
119
discnew[128] = 65536;
120
discnew[129] = 7270400;
121
discnew[130] = 16;
122
discnew[131] = 8932256557550080;
123
discnew[132] = 4;
124
discnew[133] = 4877516800;
125
discnew[134] = 2452032;
126
discnew[135] = 876096;
127
discnew[136] = 1280;
128
discnew[137] = 266515394278400;
129
discnew[138] = 1280;
130
discnew[139] = 242189680787712;
131
discnew[140] = 4;
132
discnew[141] = 2506752;
133
discnew[142] = 2304;
134
discnew[143] = 390004647101440;
135
discnew[144] = 4;
136
discnew[145] = 2871001088;
137
discnew[146] = 160927744;
138
discnew[147] = 354041856;
139
discnew[148] = 68;
140
discnew[149] = 59025988096036864;
141
discnew[150] = 16;
142
discnew[151] = 17505432660713536;
143
discnew[152] = 246016;
144
discnew[153] = 626688;
145
discnew[154] = 1280;
146
discnew[155] = 180321668562944;
147
discnew[156] = 4;
148
discnew[157] = 9680383017312256;
149
discnew[158] = 5529600;
150
discnew[159] = 528052080896;
151
discnew[160] = 8192;
152
discnew[161] = 162699255808000;
153
discnew[162] = 1296;
154
discnew[163] = 1598161946303102976;
155
discnew[164] = 25808;
156
discnew[165] = 14548992;
157
discnew[166] = 73280;
158
discnew[167] = 3376091420085950522960;
159
discnew[168] = 4;
160
discnew[169] = 52665570048;
161
discnew[170] = 1740800;
162
discnew[171] = 17342595072;
163
discnew[172] = 32;
164
discnew[173] = 466330493022481203200;
165
discnew[174] = 6400;
166
discnew[175] = 88128000000;
167
discnew[176] = 278528;
168
discnew[177] = 1875968000;
169
discnew[178] = 4653056;
170
discnew[179] = 376106765968299134619648;
171
discnew[180] = 1;
172
discnew[181] = 165269599768744755200;
173
discnew[182] = 2304;
174
discnew[183] = 110823900971008;
175
discnew[184] = 2506752;
176
discnew[185] = 846629980367486976;
177
discnew[186] = 4352;
178
discnew[187] = 107145388149964800;
179
discnew[188] = 1040;
180
discnew[189] = 9029615616;
181
discnew[190] = 4352;
182
discnew[191] = 263726848514987748566577360;
183
discnew[192] = 4096;
184
discnew[193] = 19656869582861297008640;
185
discnew[194] = 1569717223424;
186
discnew[195] = 11649024;
187
discnew[196] = 76832;
188
discnew[197] = 5589345661025200458956800;
189
discnew[198] = 1024;
190
discnew[199] = 5334862651204822097568000;
191
discnew[200] = 1440000;
192
discnew[201] = 22378415652864;
193
discnew[202] = 213020928;
194
discnew[203] = 10344788707334613368832;
195
discnew[204] = 4;
196
discnew[205] = 32940235570544640;
197
discnew[206] = 1995713740800;
198
discnew[207] = 256927334400;
199
discnew[208] = 2506752;
200
discnew[209] = 10744931850663726415872;
201
discnew[210] = 256;
202
discnew[211] = 509702394499512636693626880;
203
discnew[212] = 148176;
204
discnew[213] = 6824263680000;
205
discnew[214] = 47775744;
206
discnew[215] = 793426190890868178567168;
207
discnew[216] = 20736;
208
discnew[217] = 1656533131931192131584;
209
discnew[218] = 590932869120;
210
discnew[219] = 380274957537509376;
211
discnew[220] = 4;
212
discnew[221] = 326867588534174220288000000;
213
discnew[222] = 2304;
214
discnew[223] = 100448604056140250918397673472;
215
discnew[224] = 6553600;
216
discnew[225] = 115200000;
217
discnew[226] = 3145728000;
218
discnew[227] = 157319195998094906222789328896000;
219
discnew[228] = 528;
220
discnew[229] = 66513250958492432950857039872;
221
discnew[230] = 98491760640;
222
discnew[231] = 527582232576000;
223
discnew[232] = 74448896;
224
discnew[233] = 38172911920696001071519352487936;
225
discnew[234] = 14400;
226
discnew[235] = 1846728981196939984896;
227
discnew[236] = 62916;
228
discnew[237] = 874892817310416896;
229
discnew[238] = 327680;
230
discnew[239] = 470027586829190606259137031393107008;
231
discnew[240] = 1024;
232
discnew[241] = 16462868415195386119554351497216;
233
discnew[242] = 12643401262694400;
234
discnew[243] = 99595595440594360737792;
235
discnew[244] = 81232;
236
discnew[245] = 545504207001272451072;
237
discnew[246] = 921600;
238
discnew[247] = 2180107003159962218006367436800;
239
discnew[248] = 10934550528;
240
discnew[249] = 76951047846756352;
241
discnew[250] = 62500000000;
242
discnew[251] = 77930545483177596463257199888050995200;
243
discnew[252] = 4;
244
discnew[253] = 5419500347148282718322688;
245
discnew[254] = 210322669436928;
246
discnew[255] = 214891684167680;
247
discnew[256] = 2147483648;
248
discnew[257] = 4632034933973193960326082870464479232;
249
discnew[258] = 921600;
250
discnew[259] = 933577027101637784566235136000;
251
discnew[260] = 9024;
252
discnew[261] = 643066822656000;
253
discnew[262] = 111335178240;
254
discnew[263] = 3648491137701267023743274266685685257216;
255
discnew[264] = 576;
256
discnew[265] = 13621705770203023933440000;
257
discnew[266] = 57938083840;
258
discnew[267] = 1289058290420731084800;
259
discnew[268] = 15120;
260
discnew[269] = 2480385377234364551111267061998951596032;
261
discnew[270] = 256;
262
discnew[271] = 503560028879699706738274705969384968192;
263
discnew[272] = 36238786560;
264
discnew[273] = 11549536157696;
265
discnew[274] = 8763963604992;
266
discnew[275] = 3446736714989568000000000000;
267
discnew[276] = 5120;
268
discnew[277] = 145406117804045957492741443542738534400;
269
discnew[278] = 7574636715835392;
270
discnew[279] = 703983884868727603200;
271
discnew[280] = 147062784;
272
discnew[281] = 385512067185737746927590886932785953505280;
273
discnew[282] = 2793406464;
274
discnew[283] = 87907119444103006016727243448648837627904;
275
discnew[284] = 1664064;
276
discnew[285] = 3246995275776;
277
discnew[286] = 566820864;
278
discnew[287] = 347034463229837650725627193668403200;
279
discnew[288] = 9437184;
280
discnew[289] = 425704314172126369438236672;
281
discnew[290] = 51612044230656;
282
discnew[291] = 49467527839404974407680000;
283
discnew[292] = 1075840;
284
discnew[293] = 67213382431022002753799188108110867273351168;
285
discnew[294] = 88510464;
286
discnew[295] = 172214271523166322032564502528;
287
discnew[296] = 2904838897664;
288
discnew[297] = 669893400086556910288896;
289
discnew[298] = 2050675389235200;
290
discnew[299] = 265325377583558413040383168610304000000000;
291
discnew[300] = 10000;
292
293
discnew[301] = 15852789130415719215325415915651072;
294
discnew[302] = 436574981732696064;
295
discnew[303] = 34691226541246242124464128;
296
discnew[304] = 5223821082624;
297
discnew[305] = 108472057435256532012023517359898624;
298
discnew[306] = 1358954496;
299
discnew[307] = 7249681120377432476047252109426867581747200000;
300
discnew[308] = 1560576;
301
discnew[309] = 27667576342199258715258880;
302
discnew[310] = 2793406464;
303
discnew[311] = 1178226289675267388936933070615181329158828055737600;
304
discnew[312] = 262144;
305
discnew[313] = 3309374222651818810149507495098997502577213440;
306
discnew[314] = 6591527726269138747392;
307
discnew[315] = 2887778304000;
308
discnew[316] = 876096;
309
discnew[317] = 5491865247553993903328914076255854207882049355776;
310
discnew[318] = 1141964800;
311
discnew[319] = 427676356059105817335738554153630171136;
312
discnew[320] = 549755813888;
313
discnew[321] = 47320961487872476787507200;
314
discnew[322] = 2862864138240;
315
discnew[323] = 913272864773535010145999614364964458403463168;
316
discnew[324] = 104976;
317
discnew[325] = 8891944436410922041344000000000000;
318
discnew[326] = 652534737242448723968;
319
discnew[327] = 3738822792336567265626884669440;
320
discnew[328] = 52828903047168;
321
discnew[329] = 4062081622131398872622685382447726592000;
322
discnew[330] = 256;
323
discnew[331] = 582539585803375509326981044499497922116988165947392;
324
discnew[332] = 147693056;
325
discnew[333] = 169588350101800511078400;
326
discnew[334] = 56522685651353600;
327
discnew[335] = 596221205727448996500627816698973058498560;
328
discnew[336] = 589824;
329
discnew[337] = 458799033966540904938098116427571565345991039123456;
330
discnew[338] = 56605352417975402496;
331
discnew[339] = 6093553354042028180457775955968;
332
discnew[340] = 6464;
333
discnew[341] = 494751251241905297967455419877108238778368000;
334
discnew[342] = 8294400;
335
discnew[343] = 34132194782654956262597139078607293519443765387331515711488;
336
discnew[344] = 92187616195117056;
337
discnew[345] = 31270110693949440000;
338
discnew[346] = 16954907316782891008;
339
discnew[347] = 668906872383058108605343862009600651419991199381811363840;
340
discnew[348] = 256;
341
discnew[349] = 258791439663340974495701856869939693594814344050245632;
342
discnew[350] = 21233664000000;
343
discnew[351] = 1523859625166392283627520000;
344
discnew[352] = 1271035441709056;
345
discnew[353] = 430928988822851842709205794173920740778371450770103992320;
346
discnew[354] = 5831760281600;
347
discnew[355] = 186662972224668068186515614496666419200;
348
discnew[356] = 197652807168;
349
discnew[357] = 15076362702576156672;
350
discnew[358] = 7127696952262656000;
351
discnew[359] = 8734719219424090461678116983507117901557817048744061183197184;
352
discnew[360] = 36864;
353
discnew[361] = 25080513588305388691204984012800000000000;
354
discnew[362] = 1486972568598394961920000;
355
discnew[363] = 587529259272229693446137063669760000000;
356
discnew[364] = 294912;
357
discnew[365] = 199111572066076717698339691378181626920960000;
358
discnew[366] = 1694564352;
359
discnew[367] = 50718049214364004275157744072724336787422256806472938684416;
360
discnew[368] = 189253438930944000;
361
discnew[369] = 84836998459628285696409600;
362
discnew[370] = 5926249562112;
363
discnew[371] = 719360870933807787526010991551324122783001083904000;
364
discnew[372] = 435200;
365
discnew[373] = 29664663538398027932288959293628947823762572273455961473024;
366
discnew[374] = 52429247021276620390400;
367
discnew[375] = 10201000000000000000000000000;
368
discnew[376] = 2752564009369600000;
369
discnew[377] = 5141540089761063472576928174567911238466258324789657600;
370
discnew[378] = 429981696;
371
discnew[379] = 20242822427489193242852539833037211505245233162020747112087552;
372
discnew[380] = 98304;
373
discnew[381] = 64277062983141223868092922585939968;
374
discnew[382] = 668564371557113135104;
375
discnew[383] = 340692544513520902173490102618201822610855701865671374233266094080;
376
discnew[384] = 1099511627776;
377
discnew[385] = 994066637063863251517833216;
378
discnew[386] = 348939655842331637265203200;
379
discnew[387] = 10179401384474974774886400000000;
380
discnew[388] = 2912252672;
381
discnew[389] = 62967005472006188288017473632139259549820493155023510831104000000;
382