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Label Polynomial Discriminant Galois group Class group Regulator
14.0.445660887761159.1 $x^{14} - x^{13} + 6 x^{12} - 4 x^{11} + 12 x^{10} - 2 x^{9} + 11 x^{8} + 3 x^{7} + 11 x^{6} - 2 x^{5} + 12 x^{4} - 4 x^{3} + 6 x^{2} - x + 1$ $-\,7^{2}\cdot 71^{7}$ $C_2^6:D_7$ (as 14T27) trivial $25.684570553$
14.0.1100509539165311.1 $x^{14} + x^{12} - x^{11} + 9 x^{10} - 14 x^{9} + 29 x^{8} - 26 x^{7} + 33 x^{6} - 37 x^{5} + 34 x^{4} - 35 x^{3} + 24 x^{2} - 8 x + 1$ $-\,11^{2}\cdot 71^{7}$ $C_2^6:D_7$ (as 14T27) trivial $42.7570424883$
14.0.21837383500296791.1 $x^{14} - 3 x^{13} - 2 x^{12} + 12 x^{11} - 4 x^{10} + 3 x^{9} - 34 x^{8} - x^{7} + 103 x^{6} - 145 x^{5} + 175 x^{4} - 193 x^{3} + 114 x^{2} - 62 x + 49$ $-\,7^{4}\cdot 71^{7}$ $C_2^6:D_7$ (as 14T27) trivial $254.7145872102132$
14.0.21837383500296791.2 $x^{14} - 3 x^{13} - 2 x^{12} + 12 x^{11} - 4 x^{10} + 3 x^{9} - 34 x^{8} - x^{7} + 103 x^{6} - 145 x^{5} + 175 x^{4} - 193 x^{3} + 114 x^{2} - 62 x + 49$ $-\,7^{4}\cdot 71^{7}$ $C_2^6:D_7$ (as 14T27) trivial $254.7145872102132$
14.0.149014448675078144.1 $x^{14} - x^{12} - 7 x^{10} + 15 x^{8} + 13 x^{6} - 49 x^{4} + 6 x^{2} + 71$ $-\,2^{14}\cdot 71^{7}$ $C_2^6:D_7$ (as 14T27) $[2]$ $268.367890173515$
14.0.149014448675078144.2 $x^{14} - x^{12} - 7 x^{10} + 15 x^{8} + 13 x^{6} - 49 x^{4} + 6 x^{2} + 71$ $-\,2^{14}\cdot 71^{7}$ $C_2^6:D_7$ (as 14T27) $[2]$ $268.367890173515$
14.0.149014448675078144.3 $x^{14} - x^{12} - 7 x^{10} + 15 x^{8} + 13 x^{6} - 49 x^{4} + 6 x^{2} + 71$ $-\,2^{14}\cdot 71^{7}$ $C_2^6:D_7$ (as 14T27) $[2]$ $268.367890173515$
14.10.212...353.1 $x^{14} - 2 x^{13} - 6 x^{12} + 12 x^{11} - 2 x^{10} + 20 x^{9} - x^{8} - 120 x^{7} + 92 x^{6} + 130 x^{5} - 146 x^{4} - 68 x^{3} + 50 x^{2} + 16 x - 1$ $577^{7}$ $C_2^6:D_7$ (as 14T27) trivial $63434.8317809$
14.2.212...353.1 $x^{14} - 6 x^{13} + 20 x^{12} - 46 x^{11} + 64 x^{10} - 25 x^{9} - 87 x^{8} + 255 x^{7} - 310 x^{6} + 160 x^{5} + 6 x^{4} + 20 x^{3} - 80 x^{2} + 42 x - 1$ $577^{7}$ $C_2^6:D_7$ (as 14T27) trivial $7781.3518156$
14.6.212...353.1 $x^{14} - 4 x^{13} + 5 x^{12} + 13 x^{11} - 48 x^{10} + 13 x^{9} + 129 x^{8} - 140 x^{7} - 103 x^{6} + 65 x^{5} + 25 x^{4} + 41 x^{3} + 38 x^{2} + 11 x + 1$ $577^{7}$ $C_2^6:D_7$ (as 14T27) trivial $23574.1792401$
14.6.532...825.1 $x^{14} - 6 x^{13} + 11 x^{12} - 5 x^{11} + 31 x^{10} - 190 x^{9} + 441 x^{8} - 499 x^{7} - 116 x^{6} + 1370 x^{5} - 1571 x^{4} - 204 x^{3} + 1380 x^{2} - 409 x - 169$ $5^{2}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) trivial $206044.466758$
14.10.532...825.1 $x^{14} - 2 x^{13} - 18 x^{12} + 32 x^{11} + 124 x^{10} - 200 x^{9} - 403 x^{8} + 592 x^{7} + 654 x^{6} - 503 x^{5} - 407 x^{4} - 1451 x^{3} - 1189 x^{2} + 1642 x + 1055$ $5^{2}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) trivial $299181.703904$
14.6.532...825.2 $x^{14} - x^{13} - 6 x^{12} + 6 x^{11} + 24 x^{10} - 75 x^{9} + 17 x^{8} + 143 x^{7} - 369 x^{6} + 358 x^{5} - 200 x^{4} - 106 x^{3} + 82 x^{2} + 6 x - 5$ $5^{2}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) trivial $219390.093669$
14.10.532...825.2 $x^{14} - 6 x^{13} + 5 x^{12} + 40 x^{11} - 123 x^{10} + 158 x^{9} - 289 x^{8} + 1111 x^{7} - 2671 x^{6} + 3400 x^{5} - 2202 x^{4} + 557 x^{3} + 67 x^{2} - 52 x + 5$ $5^{2}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) trivial $320149.31527863635$
14.6.532...825.3 $x^{14} - x^{13} - 6 x^{12} + 37 x^{11} - 79 x^{10} + 60 x^{9} + 24 x^{8} - 233 x^{7} + 342 x^{6} - 160 x^{5} + 10 x^{4} + 15 x^{3} - 5 x^{2} - 7 x + 1$ $5^{2}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) $[2]$ $43169.4338664$
14.10.532...825.3 $x^{14} - 5 x^{13} - 8 x^{12} + 48 x^{11} + 49 x^{10} - 208 x^{9} - 172 x^{8} + 472 x^{7} + 229 x^{6} - 437 x^{5} - 125 x^{4} + 98 x^{3} + 33 x^{2} + 13 x - 1$ $5^{2}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) trivial $263265.6374881187$
14.6.532...825.4 $x^{14} - 5 x^{13} + 15 x^{12} - 49 x^{11} + 125 x^{10} - 235 x^{9} + 277 x^{8} - 179 x^{7} - 83 x^{6} + 1299 x^{5} - 1628 x^{4} - 1225 x^{3} + 2694 x^{2} - 941 x - 65$ $5^{2}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) $[2]$ $71256.02538701316$
14.6.532...825.5 $x^{14} - 5 x^{13} + 15 x^{12} - 49 x^{11} + 125 x^{10} - 235 x^{9} + 277 x^{8} - 179 x^{7} - 83 x^{6} + 1299 x^{5} - 1628 x^{4} - 1225 x^{3} + 2694 x^{2} - 941 x - 65$ $5^{2}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) $[2]$ $71256.02538701316$
14.6.532...825.6 $x^{14} - 5 x^{13} + 15 x^{12} - 49 x^{11} + 125 x^{10} - 235 x^{9} + 277 x^{8} - 179 x^{7} - 83 x^{6} + 1299 x^{5} - 1628 x^{4} - 1225 x^{3} + 2694 x^{2} - 941 x - 65$ $5^{2}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) $[2]$ $71256.02538701316$
14.6.532...825.7 $x^{14} - 5 x^{13} + 15 x^{12} - 49 x^{11} + 125 x^{10} - 235 x^{9} + 277 x^{8} - 179 x^{7} - 83 x^{6} + 1299 x^{5} - 1628 x^{4} - 1225 x^{3} + 2694 x^{2} - 941 x - 65$ $5^{2}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) $[2]$ $71256.02538701316$
14.2.104...297.1 $x^{14} - 4 x^{13} + 18 x^{12} - 54 x^{11} + 145 x^{10} - 322 x^{9} + 637 x^{8} - 952 x^{7} + 1136 x^{6} - 534 x^{5} - 781 x^{4} + 2603 x^{3} - 3156 x^{2} + 2531 x - 241$ $7^{2}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) $[2]$ $38638.6079659$
14.6.104...297.1 $x^{14} - 6 x^{13} + 7 x^{12} + 20 x^{11} - 81 x^{10} + 222 x^{9} - 440 x^{8} + 334 x^{7} + 255 x^{6} - 889 x^{5} + 1369 x^{4} - 967 x^{3} - 149 x^{2} + 1252 x - 1211$ $7^{2}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) $[2]$ $138559.64125483454$
14.10.359...657.1 $x^{14} - 18 x^{12} - 13 x^{11} + 46 x^{10} + 211 x^{9} + 206 x^{8} - 328 x^{7} - 386 x^{6} - 752 x^{5} + 299 x^{4} + 213 x^{3} - 38 x^{2} - 7 x + 1$ $13^{2}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) $[2]$ $510717.70251821855$
14.10.359...657.2 $x^{14} - 18 x^{12} - 13 x^{11} + 46 x^{10} + 211 x^{9} + 206 x^{8} - 328 x^{7} - 386 x^{6} - 752 x^{5} + 299 x^{4} + 213 x^{3} - 38 x^{2} - 7 x + 1$ $13^{2}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) $[2]$ $510717.70251821855$
14.2.133...625.1 $x^{14} + 3 x^{12} - 35 x^{11} + 76 x^{10} - 77 x^{9} + 114 x^{8} - 333 x^{7} + 1166 x^{6} - 1971 x^{5} + 200 x^{4} + 1981 x^{3} - 4595 x^{2} + 4998 x - 2165$ $5^{4}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) $[2]$ $188216.68822888983$
14.6.133...625.1 $x^{14} - 4 x^{13} - 16 x^{12} + 59 x^{11} + 67 x^{10} - 215 x^{9} - 137 x^{8} + 385 x^{7} + 172 x^{6} - 981 x^{5} + 98 x^{4} + 444 x^{3} + 12 x^{2} - 659 x - 89$ $5^{4}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) trivial $485442.34850098443$
14.10.179...873.1 $x^{14} - 6 x^{13} - 2 x^{12} + 102 x^{11} - 267 x^{10} - 108 x^{9} + 1565 x^{8} - 2162 x^{7} - 1283 x^{6} + 5958 x^{5} - 3422 x^{4} - 4744 x^{3} + 5254 x^{2} + 820 x - 1681$ $29^{2}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) $[2]$ $1095197.5630907647$
14.10.179...873.2 $x^{14} - 6 x^{13} - 2 x^{12} + 102 x^{11} - 267 x^{10} - 108 x^{9} + 1565 x^{8} - 2162 x^{7} - 1283 x^{6} + 5958 x^{5} - 3422 x^{4} - 4744 x^{3} + 5254 x^{2} + 820 x - 1681$ $29^{2}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) $[2]$ $1095197.5630907647$
14.2.260...425.1 $x^{14} - 3 x^{13} + 8 x^{12} - 52 x^{11} + 123 x^{10} - 539 x^{9} + 1577 x^{8} - 3599 x^{7} + 7030 x^{6} - 9987 x^{5} + 10283 x^{4} - 7805 x^{3} + 2825 x^{2} - 625$ $5^{2}\cdot 7^{2}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) $[4]$ $96920.19114316824$
14.2.260...425.2 $x^{14} - 5 x^{13} + 10 x^{12} - 22 x^{11} + 74 x^{10} + 51 x^{9} + 393 x^{8} + 216 x^{7} + 198 x^{6} - 978 x^{5} - 1542 x^{4} - 2096 x^{3} - 2007 x^{2} - 1121 x - 541$ $5^{2}\cdot 7^{2}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) $[4]$ $66845.4296364299$
14.6.511...553.1 $x^{14} - 4 x^{13} - 3 x^{12} + 36 x^{11} - 85 x^{10} + 83 x^{9} + 108 x^{8} - 444 x^{7} + 638 x^{6} + 192 x^{5} - 891 x^{4} + 1009 x^{3} + 959 x^{2} - 577 x - 577$ $7^{4}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) $[2]$ $680883.0662837694$
14.14.348...552.1 $x^{14} - 36 x^{12} + 412 x^{10} - 2142 x^{8} + 5551 x^{6} - 6916 x^{4} + 3462 x^{2} - 577$ $2^{14}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) trivial $24074181.7033$
14.6.348...552.1 $x^{14} + 21 x^{12} + 31 x^{10} - 707 x^{8} - 1705 x^{6} + 6627 x^{4} + 14406 x^{2} - 14425$ $2^{14}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) $[2]$ $1526636.6766054074$
14.10.348...552.1 $x^{14} - 20 x^{12} - 32 x^{10} + 2297 x^{8} - 12338 x^{6} + 23222 x^{4} - 14238 x^{2} - 577$ $2^{14}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) $[2]$ $5859067.511118863$
14.14.348...552.2 $x^{14} - 34 x^{12} + 390 x^{10} - 2033 x^{8} + 5189 x^{6} - 6439 x^{4} + 3462 x^{2} - 577$ $2^{14}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) trivial $31607427.8268$
14.14.348...552.3 $x^{14} - 27 x^{12} + 257 x^{10} - 1162 x^{8} + 2774 x^{6} - 3567 x^{4} + 2308 x^{2} - 577$ $2^{14}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) trivial $20750051.159562293$
14.14.348...552.4 $x^{14} - 27 x^{12} + 257 x^{10} - 1162 x^{8} + 2774 x^{6} - 3567 x^{4} + 2308 x^{2} - 577$ $2^{14}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) trivial $20750051.159562293$
14.6.127...825.1 $x^{14} - 5 x^{13} + 18 x^{12} - 37 x^{11} + 69 x^{10} + 200 x^{9} - 1646 x^{8} + 1593 x^{7} + 2651 x^{6} - 6455 x^{5} + 6926 x^{4} - 1355 x^{3} - 7873 x^{2} + 12943 x - 6635$ $5^{2}\cdot 7^{4}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) $[4]$ $1746192.785418779$
14.14.872...800.1 $x^{14} - 37 x^{12} + 521 x^{10} - 3654 x^{8} + 14004 x^{6} - 29699 x^{4} + 32610 x^{2} - 14425$ $2^{14}\cdot 5^{2}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) $[2]$ $54655476.87236326$
14.14.872...800.2 $x^{14} - 37 x^{12} + 521 x^{10} - 3654 x^{8} + 14004 x^{6} - 29699 x^{4} + 32610 x^{2} - 14425$ $2^{14}\cdot 5^{2}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) $[2]$ $54655476.87236326$
14.14.872...800.3 $x^{14} - 37 x^{12} + 521 x^{10} - 3654 x^{8} + 14004 x^{6} - 29699 x^{4} + 32610 x^{2} - 14425$ $2^{14}\cdot 5^{2}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) $[2]$ $54655476.87236326$
14.10.319...625.1 $x^{14} - x^{13} - 53 x^{12} + 18 x^{11} + 821 x^{10} + 308 x^{9} - 902 x^{8} - 2352 x^{7} - 58305 x^{6} - 79885 x^{5} + 184653 x^{4} + 449035 x^{3} + 521940 x^{2} + 328646 x + 75887$ $5^{4}\cdot 7^{4}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) $[2]$ $39387532.62459637$
14.14.589...288.1 $x^{14} - 75 x^{12} + 1836 x^{10} - 16957 x^{8} + 75514 x^{6} - 175913 x^{4} + 207142 x^{2} - 97513$ $2^{14}\cdot 13^{2}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) $[2]$ $175928316.68051723$
14.14.589...288.2 $x^{14} - 51 x^{12} + 1007 x^{10} - 9839 x^{8} + 51051 x^{6} - 140437 x^{4} + 189306 x^{2} - 97513$ $2^{14}\cdot 13^{2}\cdot 577^{7}$ $C_2^6:D_7$ (as 14T27) $[2]$ $223748687.4374523$
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