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