Learn more about

Further refine search

Results (displaying matches 1-50 of 173) Next

Label Polynomial Discriminant Galois group Class group
17.1.133094720815439153.1 x17 - 2x16 + 7x15 - 12x14 + 22x13 - 34x12 + 46x11 - 61x10 + 65x9 - 65x8 + 53x7 - 36x6 + 20x5 - 5x4 - x3 + 4x2 - 2x + 1 \( 316968877\cdot 419898389 \) $S_{17}$ (as 17T10) Trivial
17.1.231494845017984433.1 x17 - x16 + 2x13 + x12 - 5x11 + x10 + 3x9 + 3x8 - x7 - 7x6 + 2x5 + 6x4 + x3 - 3x2 - 3x - 1 \( 59^{2}\cdot 1217\cdot 1579\cdot 34607051 \) $S_{17}$ (as 17T10) Trivial
17.3.1586349738982991023.1 x17 - x15 - x14 - 5x13 + 4x12 + x11 + 15x9 - 13x8 - 2x7 + 7x6 - 18x5 + 20x4 - 10x3 + 6x2 - 4x + 1 \( -\,2131\cdot 546781\cdot 1361451193 \) $S_{17}$ (as 17T10) Trivial
17.3.1912319465404851491.1 x17 - 3x16 + 4x15 - 3x14 + x13 + 4x12 - 8x11 + 9x10 - 2x9 - 9x8 + 12x7 - x6 - 4x5 + 2x4 - 3x3 + x2 - x - 1 \( -\,227\cdot 2411\cdot 3533\cdot 988994191 \) $S_{17}$ (as 17T10) Trivial
17.3.2151149236330118383.1 x17 - 2x15 - 4x14 + 4x13 + 7x12 - 3x11 - 3x10 - 3x9 + 5x8 - 5x7 - 4x6 + 14x5 - 2x4 - 7x3 + 2x + 1 \( -\,37^{5}\cdot 433\cdot 5531\cdot 12953 \) $S_{17}$ (as 17T10) Trivial
17.3.2311521177047925203.1 x17 - x16 + x15 - 3x14 + 4x13 - 4x12 - x11 + 4x10 - 5x9 + 17x8 - 42x7 + 59x6 - 45x5 + 9x4 + 15x3 - 15x2 + 6x - 1 \( -\,16843\cdot 137239279050521 \) $S_{17}$ (as 17T10) Trivial
17.3.2757250718309135423.1 x17 - 3x16 + 7x15 - 10x14 + 12x13 - 11x12 + 10x11 - 7x10 + 2x9 + 5x8 - 13x7 + 11x6 - 5x5 - 6x4 + 11x3 - 9x2 + 5x - 1 \( -\,75653\cdot 3119681\cdot 11682611 \) $S_{17}$ (as 17T10) Trivial
17.5.3621113810274499901.1 x17 - 5x15 - x14 + 5x13 + 6x12 + 9x11 - 16x10 - 21x9 + 19x8 + 13x7 - 5x6 - 4x5 - 5x4 + 3x3 - x + 1 \( 55954279\cdot 64715583419 \) $S_{17}$ (as 17T10) Trivial
17.3.3779800000525860359.1 x17 - 4x16 + 12x15 - 26x14 + 48x13 - 75x12 + 105x11 - 126x10 + 136x9 - 129x8 + 107x7 - 80x6 + 47x5 - 23x4 + 11x3 - 2x2 - 2x + 1 \( -\,137\cdot 1926157\cdot 14323744651 \) $S_{17}$ (as 17T10) Trivial
17.5.4755937542258621701.1 x17 - 6x15 - 2x14 + 17x13 + 13x12 - 27x11 - 34x10 + 20x9 + 47x8 - 38x6 - 13x5 + 17x4 + 12x3 - 2x2 - 3x - 1 \( 97\cdot 2927\cdot 2315407\cdot 7234597 \) $S_{17}$ (as 17T10) Trivial
17.5.14517428819890014793.1 x17 - 2x16 + 4x15 - 2x14 + 6x12 - 5x11 + x10 + 3x9 - 6x8 - 7x7 - x6 - 5x5 - 9x4 - 3x3 - 2x2 - 3x - 1 \( 10170343\cdot 1427427651151 \) $S_{17}$ (as 17T10) Trivial
17.5.89056089711131593861.1 x17 - 2x16 - 5x15 + 8x14 + 14x13 - 6x12 - 34x11 - 12x10 + 42x9 + 47x8 - 33x7 - 52x6 + 13x5 + 21x4 + 3x3 - 5x2 - 2x + 1 \( 946391\cdot 3063653\cdot 30715207 \) $S_{17}$ (as 17T10) Trivial
17.1.142063412679164600644.1 x17 - 2x16 - x15 + 5x14 - x13 - 8x12 + 6x11 + 8x10 - 11x9 - 3x8 + 13x7 - 3x6 - 8x5 + 5x4 + 3x3 - 3x2 + 1 \( 2^{2}\cdot 1697\cdot 20928611178427313 \) $S_{17}$ (as 17T10) Trivial
17.1.808793517812627212561.1 x17 - x - 1 \( 808793517812627212561 \) $S_{17}$ (as 17T10) Trivial
17.1.1030463898345852385032.1 x17 - 2x16 - x15 + 5x14 - x13 - 8x12 + 6x11 + 8x10 - 11x9 - 3x8 + 12x7 - 3x6 - 7x5 + 5x4 + 3x3 - 3x2 + 1 \( 2^{3}\cdot 3^{2}\cdot 373\cdot 38369969405192597 \) $S_{17}$ (as 17T10) Trivial
17.3.2074524434943857177144.1 x17 - 2x16 + x15 + 2x14 - 3x13 + 3x11 - 3x10 - x9 + 6x8 - 5x7 - 4x6 + 8x5 - 3x4 - 4x3 + 3x2 - 1 \( -\,2^{3}\cdot 17\cdot 20759\cdot 9318913\cdot 78851137 \) $S_{17}$ (as 17T10) Trivial
17.3.8553979677514650635476.1 x17 - 3x16 + 4x15 + x14 - 13x13 + 26x12 - 25x11 + 2x10 + 35x9 - 62x8 + 59x7 - 25x6 - 13x5 + 33x4 - 30x3 + 17x2 - 6x + 1 \( -\,2^{2}\cdot 11\cdot 53\cdot 34759\cdot 105529138935877 \) $S_{17}$ (as 17T10) Trivial
17.1.17578609656292078845952.1 x17 - 4x - 4 \( 2^{16}\cdot 63535033\cdot 4221738529 \) $S_{17}$ (as 17T10) Trivial
17.1.2418678879491144686176529.1 x17 + 2x - 1 \( 71437\cdot 234281\cdot 144516666425357 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.1.6561080120160164763992064.1 x17 + 4x - 4 \( 2^{16}\cdot 3\cdot 33371379191895369283 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.5.37475477362914554710500388.1 x17 - x16 - 4x15 + 4x14 + 6x13 - 6x12 - 8x11 + 8x10 + 9x9 - 7x8 - 9x7 + 3x6 + 9x5 - 2x4 - 6x3 + 4x2 + 2x - 1 \( 2^{2}\cdot 9368869340728638677625097 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.1.44542611246065932779454464.1 x17 - 4x9 - 18x6 - 12x3 + 4x - 2 \( 2^{16}\cdot 3\cdot 271\cdot 835997920414096373 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.5.47814524918055414168841988.1 x17 - 2x16 - 2x15 + 9x14 - 8x13 - 6x12 + 22x11 - 20x10 - 4x9 + 23x8 - 20x7 + 7x6 + x5 - 11x4 + 11x3 - x2 - 3x + 1 \( 2^{2}\cdot 71\cdot 113\cdot 398023\cdot 3743302227733793 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.1.51796166163753707827691520.1 x17 - 2x - 2 \( 2^{16}\cdot 3\cdot 5\cdot 379\cdot 139023179197698797 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.1.54213999356238892467552256.1 x17 - x - 2 \( 2^{16}\cdot 2387563\cdot 346478807223667 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.1.54214017802701491200393216.1 x17 - x - 4 \( 2^{16}\cdot 67\cdot 12346869580328982043 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.1.56631869442212224526516224.1 x17 + 2x - 2 \( 2^{16}\cdot 23\cdot 37\cdot 67\cdot 15155721101316377 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.1.63885424359899999574753280.1 x17 + 4x9 - 18x6 + 12x3 + 4x - 2 \( 2^{16}\cdot 5\cdot 7\cdot 27851834699314662203 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.1.1519687851595448316396690681.1 x17 + 3x - 3 \( 3^{16}\cdot 35388253\cdot 997597133837 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.13.2232673506822932495146063557.1 x17 - x16 - 17x15 + 17x14 + 112x13 - 115x12 - 356x11 + 389x10 + 547x9 - 675x8 - 342x7 + 560x6 + 27x5 - 205x4 + 42x3 + 24x2 - 10x + 1 \( 3^{3}\cdot 205542871\cdot 402308340646912121 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.3.2382214709257873624010389231.1 x17 - 3x - 1 \( -\,17987\cdot 132440913396223585034213 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.1.2382216363738397396683917585.1 x17 + 3x - 1 \( 5\cdot 90341351171\cdot 5273811677288927 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.1.2436429554301118476524257280.1 x17 + 3x - 2 \( 2^{16}\cdot 5\cdot 19\cdot 391336469839175330959 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.3.2538753443209963749199249408.1 x17 - 9x - 4 \( -\,2^{16}\cdot 38738303271636409747303 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.15.2661311410581956875675760248.1 x17 - 3x16 - 12x15 + 38x14 + 57x13 - 190x12 - 136x11 + 476x10 + 169x9 - 630x8 - 101x7 + 433x6 + 24x5 - 146x4 - 2x3 + 21x2 - 1 \( -\,2^{3}\cdot 332663926322744609459470031 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.1.3469692417024426965689434112.1 x17 - 4x - 8 \( 2^{22}\cdot 83\cdot 9966736578149758091 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.1.3469701861757392704979861504.1 x17 + 4x - 8 \( 2^{22}\cdot 3\cdot 19919\cdot 40311581\cdot 343410553 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.11.4636997228978364408280160408.1 x17 - x16 - 16x15 + 13x14 + 102x13 - 65x12 - 330x11 + 160x10 + 576x9 - 209x8 - 541x7 + 150x6 + 266x5 - 59x4 - 61x3 + 12x2 + 5x - 1 \( -\,2^{3}\cdot 102293\cdot 5666317867520705728007 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.9.7367931847600131843027939152.1 x17 - 14x15 - x14 + 76x13 + 11x12 - 207x11 - 49x10 + 312x9 + 104x8 - 281x7 - 99x6 + 156x5 + 40x4 - 50x3 - 3x2 + 7x - 1 \( 2^{4}\cdot 460495740475008240189246197 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.1.13878788557563638241826963456.1 x17 - x - 8 \( 2^{24}\cdot 229\cdot 71347\cdot 50631461593807 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.1.28463334143893665868528653393.1 x17 - 9x - 9 \( 3^{16}\cdot 47\cdot 4547\cdot 88289\cdot 35044210933 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.1.33227765216889936889222960209.1 x17 - 3x - 3 \( 3^{16}\cdot 771900029665208109329 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.1.35607562901748843141220701265.1 x17 - 2x - 3 \( 5\cdot 11\cdot 211\cdot 84719\cdot 1328711\cdot 27257483264677 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.1.35609980734941328325860562001.1 x17 - x - 3 \( 1181\cdot 6719\cdot 4487631626231289499259 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.1.35609980771834816473279665233.1 x17 + x - 3 \( 79\cdot 101\cdot 13267\cdot 336395784580060614881 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.15.39335049171601488497404347332.1 x17 - 3x16 - 13x15 + 41x14 + 67x13 - 222x12 - 175x11 + 605x10 + 247x9 - 872x8 - 187x7 + 640x6 + 68x5 - 210x4 - 6x3 + 26x2 - 1 \( -\,2^{2}\cdot 23\cdot 47\cdot 1443727\cdot 6300992077700317559 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.1.42756627362882478930611573841.1 x17 + 9x - 9 \( 3^{16}\cdot 89\cdot 421\cdot 811\cdot 827\cdot 39524364797 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.13.48355483485632558529311156800.1 x17 - 4x16 - 6x15 + 41x14 - 5x13 - 163x12 + 112x11 + 322x10 - 315x9 - 342x8 + 381x7 + 204x6 - 216x5 - 70x4 + 55x3 + 13x2 - 5x - 1 \( 2^{6}\cdot 5^{2}\cdot 7529\cdot 4014102427748751372137 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.1.65533882524540008146301681664.1 x17 + 7x - 4 \( 2^{16}\cdot 3\cdot 31\cdot 10752340751490440474693 \) $S_{17}$ (as 17T10) Trivial (GRH)
17.3.316858436039254367407998697472.1 x17 - 4x - 2 \( -\,2^{16}\cdot 13\cdot 371913541399740797081579 \) $S_{17}$ (as 17T10) Trivial (GRH)

Next

Download all search results for