Learn more

Refine search


Results (39 matches)

  displayed columns for results
Label Polynomial Discriminant Galois group Class group Regulator
14.0.9745585291264.1 $x^{14} - 4 x^{13} + 7 x^{12} - 4 x^{11} - 8 x^{10} + 24 x^{9} - 30 x^{8} + 16 x^{7} + 13 x^{6} - 38 x^{5} + 46 x^{4} - 36 x^{3} + 19 x^{2} - 6 x + 1$ $-\,2^{14}\cdot 29^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $5.342840135225723$
14.0.13824820988163.1 $x^{14} - 3 x^{13} + 8 x^{12} - 18 x^{11} + 32 x^{10} - 52 x^{9} + 70 x^{8} - 81 x^{7} + 82 x^{6} - 70 x^{5} + 52 x^{4} - 31 x^{3} + 16 x^{2} - 6 x + 1$ $-\,3^{7}\cdot 43^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $9.923787361493524$
14.0.30270895108587.1 $x^{14} - 4 x^{13} + 6 x^{12} - 3 x^{11} - 6 x^{10} + 14 x^{9} - 12 x^{8} + 2 x^{7} + 10 x^{6} - 8 x^{5} - 3 x^{4} + x^{3} + 7 x^{2} - 5 x + 1$ $-\,3^{7}\cdot 7^{12}$ $C_7 \wr C_2$ (as 14T8) trivial $16.520791850817314$
14.0.489862582246303.1 $x^{14} - 5 x^{13} + 18 x^{12} - 44 x^{11} + 89 x^{10} - 140 x^{9} + 190 x^{8} - 209 x^{7} + 201 x^{6} - 156 x^{5} + 104 x^{4} - 55 x^{3} + 23 x^{2} - 7 x + 1$ $-\,7^{7}\cdot 29^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $30.78649932175806$
14.0.5205914289462607.1 $x^{14} - 2 x^{13} + 2 x^{12} - 5 x^{11} + 8 x^{10} + 2 x^{9} - 6 x^{8} + 11 x^{7} - 3 x^{6} + 9 x^{5} + 18 x^{4} - 8 x^{3} + x^{2} + 14 x + 7$ $-\,7^{7}\cdot 43^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $154.6496312968527$
14.0.9176374064424843.1 $x^{14} - 4 x^{13} + 2 x^{12} + 11 x^{11} - 12 x^{10} - 27 x^{9} + 59 x^{8} + 9 x^{7} - 110 x^{6} + 92 x^{5} + 26 x^{4} - 80 x^{3} + 55 x^{2} - 22 x + 7$ $-\,3^{7}\cdot 127^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $620.9879838596519$
14.0.13256859160936448.1 $x^{14} - 2 x^{13} + 5 x^{12} - 6 x^{11} + 5 x^{10} - 6 x^{9} + 6 x^{8} - 12 x^{7} + 22 x^{6} + 2 x^{5} + 7 x^{4} + 28 x^{3} + 2 x^{2} - 4 x + 1$ $-\,2^{21}\cdot 43^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $135.44305525773999$
14.0.34110697514745856.1 $x^{14} - 4 x^{13} + 14 x^{12} - 30 x^{11} + 59 x^{10} - 78 x^{9} + 95 x^{8} - 82 x^{7} + 29 x^{6} - 4 x^{5} + 24 x^{4} + 20 x^{3} + 12 x^{2} + 4 x + 1$ $-\,2^{14}\cdot 113^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $433.9387675341466$
14.0.105496092121152103.2 $x^{14} - x^{13} + 5 x^{12} - 7 x^{11} + 26 x^{10} - 35 x^{9} + 55 x^{8} - 71 x^{7} + 119 x^{6} - 177 x^{5} + 232 x^{4} - 230 x^{3} + 173 x^{2} - 90 x + 25$ $-\,7^{7}\cdot 71^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $421.3378894575585$
14.0.192993869976848307.1 $x^{14} - 6 x^{13} + 19 x^{12} - 36 x^{11} + 34 x^{10} + 7 x^{9} - 24 x^{8} - 225 x^{7} + 1029 x^{6} - 2242 x^{5} + 3040 x^{4} - 2658 x^{3} + 1454 x^{2} - 459 x + 67$ $-\,3^{7}\cdot 211^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $1350.6941155064887$
14.0.202...487.1 $x^{14} - 3 x^{13} + 11 x^{12} - 26 x^{11} + 65 x^{10} - 64 x^{9} + 69 x^{8} - 51 x^{7} + 82 x^{6} - 45 x^{5} + 30 x^{4} - 15 x^{3} + 22 x^{2} - 20 x + 8$ $-\,23^{7}\cdot 29^{6}$ $C_7 \wr C_2$ (as 14T8) $[3]$ $42197.35383673088$
14.0.320...683.1 $x^{14} - x^{13} + 13 x^{12} - 17 x^{11} + 99 x^{10} - 158 x^{9} + 467 x^{8} - 631 x^{7} + 1081 x^{6} - 966 x^{5} + 1003 x^{4} - 470 x^{3} + 315 x^{2} - 34 x + 37$ $-\,3^{7}\cdot 337^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $4896.77870372762$
14.0.345...127.1 $x^{14} + x^{12} - 12 x^{11} - 33 x^{10} + 22 x^{9} + 121 x^{8} + 87 x^{7} - 129 x^{6} - 211 x^{5} + 31 x^{4} + 126 x^{3} + 44 x^{2} - 72 x + 32$ $-\,7^{7}\cdot 127^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $169089.05836097506$
14.0.565...211.1 $x^{14} - 5 x^{13} + 13 x^{12} - 38 x^{11} + 94 x^{10} - 147 x^{9} + 307 x^{8} - 302 x^{7} + 393 x^{6} - 25 x^{5} + 118 x^{4} + 32 x^{3} + 13 x^{2} + 2 x + 1$ $-\,19^{7}\cdot 43^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $2047.9750463823962$
14.0.648...827.1 $x^{14} - 7 x^{13} + 7 x^{12} + 23 x^{11} + 5 x^{10} - 54 x^{9} + 8 x^{8} + 77 x^{7} + x^{6} - 83 x^{5} - 14 x^{4} + 45 x^{3} + 94 x^{2} + 59 x + 19$ $-\,3^{7}\cdot 379^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $10357.331191138208$
14.0.215...483.1 $x^{14} - 3 x^{13} - 8 x^{12} + 29 x^{11} + 29 x^{10} - 143 x^{9} + 91 x^{8} - x^{7} - 105 x^{6} + 681 x^{5} - 1254 x^{4} + 683 x^{3} + 1312 x^{2} - 2656 x + 2221$ $-\,3^{7}\cdot 463^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $18188.18876607146$
14.0.481...047.1 $x^{14} - 7 x^{13} + 23 x^{12} - 39 x^{11} + 53 x^{10} - 65 x^{9} + 143 x^{8} - 185 x^{7} + 185 x^{6} - 233 x^{5} + 175 x^{4} - 139 x^{3} + 166 x^{2} - 30 x + 79$ $-\,7^{7}\cdot 197^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $7633.055771270653$
14.0.726...223.1 $x^{14} + x^{12} - 20 x^{11} - 2 x^{10} - 4 x^{9} + 141 x^{8} + 61 x^{7} + 74 x^{6} - 111 x^{5} + 93 x^{4} + 86 x^{3} - 224 x^{2} - 96 x + 256$ $-\,7^{7}\cdot 211^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $937623.9996610133$
14.0.185...672.1 $x^{14} - 6 x^{13} + 13 x^{12} - 26 x^{11} + 71 x^{10} - 36 x^{9} + 120 x^{8} - 186 x^{7} + 455 x^{6} - 656 x^{5} + 807 x^{4} - 672 x^{3} + 461 x^{2} - 202 x + 67$ $-\,2^{21}\cdot 211^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $10291.783608767915$
14.0.436...687.1 $x^{14} - x^{13} + 4 x^{12} + 2 x^{11} + 29 x^{10} + 61 x^{9} + 321 x^{8} + 535 x^{7} + 993 x^{6} + 1158 x^{5} + 1546 x^{4} + 971 x^{3} + 637 x^{2} + 205 x + 25$ $-\,23^{7}\cdot 71^{6}$ $C_7 \wr C_2$ (as 14T8) $[3]$ $15298.094359653964$
14.0.103...803.1 $x^{14} - 2 x^{13} + 18 x^{12} - 43 x^{11} + 164 x^{10} - 390 x^{9} + 1010 x^{8} - 2335 x^{7} + 5001 x^{6} - 8810 x^{5} + 18328 x^{4} - 25338 x^{3} + 33735 x^{2} - 48825 x + 58347$ $-\,3^{7}\cdot 883^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $1906198.0060826847$
14.0.134...807.2 $x^{14} - 28 x^{11} - 21 x^{10} - 70 x^{9} + 189 x^{8} + 284 x^{7} + 1176 x^{6} + 1176 x^{5} + 1953 x^{4} + 791 x^{3} + 644 x^{2} + 133 x + 53$ $-\,7^{25}$ $C_7 \wr C_2$ (as 14T8) trivial $73205.1735676$
14.0.134...807.3 $x^{14} - 28 x^{11} - 21 x^{10} + 28 x^{9} + 189 x^{8} + 263 x^{7} - 196 x^{6} - 196 x^{5} + 189 x^{4} + 301 x^{3} + 350 x^{2} - 112 x + 256$ $-\,7^{25}$ $C_7 \wr C_2$ (as 14T8) trivial $5509294.69868$
14.0.148...899.2 $x^{14} - x^{13} + 2 x^{12} + 16 x^{10} + 29 x^{9} + 78 x^{8} - 37 x^{7} + 38 x^{6} - 397 x^{5} + 106 x^{4} - 195 x^{3} + 900 x^{2} + 648 x + 729$ $-\,29^{6}\cdot 59^{7}$ $C_7 \wr C_2$ (as 14T8) $[3]$ $200452.6936069483$
14.0.152...176.1 $x^{14} - 2 x^{13} - x^{12} - 2 x^{11} - 24 x^{10} + 12 x^{9} - 10 x^{8} + 668 x^{7} + 1425 x^{6} - 2810 x^{5} - 7293 x^{4} - 1146 x^{3} + 11366 x^{2} + 19152 x + 11432$ $-\,2^{14}\cdot 673^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $8197533.491549083$
14.0.244...503.1 $x^{14} + x^{12} - 28 x^{11} + 52 x^{10} - 102 x^{9} + 325 x^{8} - 1020 x^{7} + 1853 x^{6} - 3612 x^{5} + 6790 x^{4} - 6877 x^{3} + 9157 x^{2} - 3348 x + 3427$ $-\,7^{7}\cdot 379^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $74935.95432820499$
14.0.372...963.1 $x^{14} - 2 x^{13} - 26 x^{12} + 49 x^{11} + 312 x^{10} - 671 x^{9} - 1502 x^{8} + 3563 x^{7} + 4980 x^{6} - 14830 x^{5} + 2460 x^{4} + 12120 x^{3} - 5181 x^{2} - 2017 x + 3007$ $-\,3^{7}\cdot 1093^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $182144.79282798895$
14.0.579...744.4 $x^{14} - 2 x^{13} + 2 x^{12} + 20 x^{11} - 83 x^{10} + 12 x^{9} + 110 x^{8} - 176 x^{7} + 2447 x^{6} - 3952 x^{5} - 2038 x^{4} - 5862 x^{3} + 9737 x^{2} + 11592 x + 13033$ $-\,2^{14}\cdot 29^{12}$ $C_7 \wr C_2$ (as 14T8) $[7]$ $14379.655158793385$
14.0.674...943.2 $x^{14} + x^{12} - 32 x^{11} - 24 x^{10} - 6 x^{9} + 233 x^{8} + 150 x^{7} - 227 x^{6} + 122 x^{5} + 3686 x^{4} + 7197 x^{3} + 5537 x^{2} + 1908 x + 253$ $-\,7^{7}\cdot 449^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $142818.9972337937$
14.0.122...336.1 $x^{14} - 6 x^{13} + 2 x^{12} + 104 x^{11} - 390 x^{10} + 156 x^{9} + 3100 x^{8} - 12744 x^{7} + 30817 x^{6} - 48158 x^{5} + 47482 x^{4} - 25056 x^{3} + 3812 x^{2} + 72 x + 1832$ $-\,2^{14}\cdot 953^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $27851174.53714396$
14.0.142...983.1 $x^{14} - 3 x^{13} + 8 x^{12} - 20 x^{11} + 103 x^{10} - 127 x^{9} + 309 x^{8} - 587 x^{7} + 1941 x^{6} - 586 x^{5} + 2442 x^{4} - 381 x^{3} + 897 x^{2} - 67 x + 101$ $-\,23^{7}\cdot 127^{6}$ $C_7 \wr C_2$ (as 14T8) $[3]$ $57111.48044975551$
14.0.171...752.1 $x^{14} - 2 x^{13} - 3 x^{12} + 8 x^{11} + 68 x^{10} - 184 x^{9} - 30 x^{8} + 578 x^{7} - 482 x^{6} + 648 x^{5} - 662 x^{4} - 2080 x^{3} + 7198 x^{2} - 8808 x + 3753$ $-\,2^{21}\cdot 449^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $2937857.3769574384$
14.0.220...647.1 $x^{14} - 7 x^{13} + 23 x^{12} - 35 x^{11} - 18 x^{10} + 142 x^{9} + 93 x^{8} - 1187 x^{7} + 1408 x^{6} - 466 x^{5} + 1205 x^{4} + 386 x^{3} - 6 x^{2} + 63 x + 79$ $-\,7^{7}\cdot 547^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $130660.1909857962$
14.0.572...599.1 $x^{14} - x^{13} - 2 x^{12} + 12 x^{11} + 81 x^{10} - 203 x^{9} + 477 x^{8} - 1135 x^{7} + 2043 x^{6} - 2402 x^{5} + 1866 x^{4} - 1049 x^{3} + 537 x^{2} - 245 x + 67$ $-\,31^{7}\cdot 113^{6}$ $C_7 \wr C_2$ (as 14T8) $[3]$ $59474.987942609085$
14.0.329...743.2 $x^{14} - 7 x^{13} + 23 x^{12} - 47 x^{11} + 36 x^{10} + 84 x^{9} + 585 x^{8} + 537 x^{7} + 806 x^{6} + 7108 x^{5} - 2309 x^{4} + 7270 x^{3} + 17966 x^{2} - 14595 x + 21721$ $-\,7^{7}\cdot 43^{12}$ $C_7 \wr C_2$ (as 14T8) $[7]$ $2795887.5747423917$
14.14.162...125.1 $x^{14} - 4 x^{13} - 46 x^{12} + 216 x^{11} + 475 x^{10} - 2793 x^{9} - 2014 x^{8} + 15566 x^{7} + 3903 x^{6} - 42032 x^{5} - 858 x^{4} + 54300 x^{3} - 8617 x^{2} - 27189 x + 8971$ $5^{7}\cdot 3571^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $541372971.46$
14.0.144...503.2 $x^{14} - 7 x^{13} + 25 x^{12} - 59 x^{11} + 247 x^{10} + 155 x^{9} + 9001 x^{8} - 51521 x^{7} + 245881 x^{6} - 970035 x^{5} + 2483831 x^{4} - 4383501 x^{3} + 5509814 x^{2} - 4241340 x + 1451461$ $-\,7^{7}\cdot 127^{12}$ $C_7 \wr C_2$ (as 14T8) $[7]$ $1112368250.6677134$
14.0.641...703.2 $x^{14} + 4 x^{12} - 596 x^{10} - 1688 x^{9} + 14122 x^{8} + 30384 x^{7} + 411984 x^{6} - 1304824 x^{5} + 684860 x^{4} - 1590096 x^{3} + 2478769 x^{2} + 733436 x + 821711$ $-\,7^{7}\cdot 211^{12}$ $C_7 \wr C_2$ (as 14T8) $[7]$ $17673476848.671577$
14.14.890...125.1 $x^{14} - 231 x^{12} - 322 x^{11} + 18424 x^{10} + 40460 x^{9} - 641613 x^{8} - 1755568 x^{7} + 9524963 x^{6} + 30456902 x^{5} - 44562560 x^{4} - 185001208 x^{3} - 19133968 x^{2} + 239195712 x + 95554304$ $5^{7}\cdot 7^{24}\cdot 29^{6}$ $C_7 \wr C_2$ (as 14T8) trivial $24648398601900$
  displayed columns for results