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Label Polynomial Discriminant Galois group Class group Regulator
14.14.102...189.1 $x^{14} - x^{13} - 13 x^{12} + 12 x^{11} + 66 x^{10} - 55 x^{9} - 165 x^{8} + 120 x^{7} + 210 x^{6} - 126 x^{5} - 126 x^{4} + 56 x^{3} + 28 x^{2} - 7 x - 1$ $29^{13}$ $C_{14}$ (as 14T1) trivial $59457.5169907$
14.0.773...667.1 $x^{14} - x^{13} + 13 x^{12} - 2 x^{11} + 123 x^{10} - 42 x^{9} + 353 x^{8} - 132 x^{7} + 776 x^{6} - 254 x^{5} + 455 x^{4} + 182 x^{3} + 67 x^{2} + 9 x + 1$ $-\,3^{7}\cdot 29^{12}$ $C_{14}$ (as 14T1) $[2, 2, 2]$ $6020.98510015$
14.0.134...807.1 $x^{14} - 28 x^{11} + 7 x^{10} + 14 x^{9} + 189 x^{8} - 90 x^{7} - 98 x^{6} - 196 x^{5} + 427 x^{4} - 217 x^{3} - 140 x^{2} + 119 x + 79$ $-\,7^{25}$ $C_{14}$ (as 14T1) trivial $35256.6897369$
14.0.171...243.1 $x^{14} - x^{13} + 2 x^{12} + 24 x^{11} - 17 x^{10} + 27 x^{9} + 143 x^{8} - 81 x^{7} + 83 x^{6} + 209 x^{5} + 163 x^{4} - 88 x^{3} + 235 x^{2} + 168 x + 79$ $-\,43^{13}$ $C_{14}$ (as 14T1) trivial $35991.6418506$
14.0.579...744.1 $x^{14} + 25 x^{12} + 214 x^{10} + 767 x^{8} + 1194 x^{6} + 686 x^{4} + 53 x^{2} + 1$ $-\,2^{14}\cdot 29^{12}$ $C_{14}$ (as 14T1) $[2, 2, 14]$ $6020.98510015$
14.0.224...343.1 $x^{14} - x^{13} + 16 x^{12} - 17 x^{11} + 66 x^{10} - 84 x^{9} + 38 x^{8} - 315 x^{7} + 65 x^{6} - 503 x^{5} + 1556 x^{4} + 665 x^{3} + 2377 x^{2} - 3516 x + 1681$ $-\,3^{7}\cdot 29^{13}$ $C_{14}$ (as 14T1) $[2, 2, 2, 6]$ $6020.98510015$
14.14.276...125.1 $x^{14} - 5 x^{13} - 22 x^{12} + 131 x^{11} + 90 x^{10} - 1019 x^{9} + 223 x^{8} + 3253 x^{7} - 1853 x^{6} - 4170 x^{5} + 2916 x^{4} + 1404 x^{3} - 781 x^{2} - 168 x + 41$ $5^{7}\cdot 29^{12}$ $C_{14}$ (as 14T1) trivial $4233583.6638$
14.0.873...987.1 $x^{14} - x^{13} + 19 x^{12} - 52 x^{11} + 321 x^{10} - 658 x^{9} + 1819 x^{8} - 2372 x^{7} + 5112 x^{6} - 5324 x^{5} + 8835 x^{4} - 4452 x^{3} + 5145 x^{2} + 343 x + 2401$ $-\,3^{7}\cdot 43^{12}$ $C_{14}$ (as 14T1) $[203]$ $35991.6418506$
14.0.168...576.1 $x^{14} + 29 x^{12} + 290 x^{10} + 1247 x^{8} + 2262 x^{6} + 1566 x^{4} + 377 x^{2} + 29$ $-\,2^{14}\cdot 29^{13}$ $C_{14}$ (as 14T1) $[2, 2, 2, 6]$ $6020.98510015$
14.0.291...263.1 $x^{14} - 5 x^{13} - x^{12} + 41 x^{11} - 266 x^{9} + 682 x^{8} - 1271 x^{7} + 3346 x^{6} - 5784 x^{5} + 12267 x^{4} - 10251 x^{3} + 20954 x^{2} - 13581 x + 22271$ $-\,7^{7}\cdot 29^{12}$ $C_{14}$ (as 14T1) $[2, 2, 14]$ $6020.98510015$
14.0.418...987.1 $x^{14} + 21 x^{12} - 42 x^{11} + 350 x^{10} - 553 x^{9} + 2184 x^{8} - 2696 x^{7} + 8869 x^{6} - 8701 x^{5} + 18151 x^{4} - 8246 x^{3} + 17920 x^{2} - 8148 x + 9409$ $-\,3^{7}\cdot 7^{24}$ $C_{14}$ (as 14T1) $[203]$ $35256.6897369$
14.0.654...984.1 $x^{14} + 37 x^{12} + 470 x^{10} + 2787 x^{8} + 8570 x^{6} + 13714 x^{4} + 10241 x^{2} + 2401$ $-\,2^{14}\cdot 43^{12}$ $C_{14}$ (as 14T1) $[43]$ $35991.6418506$
14.0.742...232.1 $x^{14} - 2 x^{13} - 9 x^{12} + 14 x^{11} + 90 x^{10} - 104 x^{9} + 267 x^{8} + 152 x^{7} + 2022 x^{6} - 694 x^{5} + 10130 x^{4} - 8292 x^{3} + 29677 x^{2} - 7326 x + 33251$ $-\,2^{21}\cdot 29^{12}$ $C_{14}$ (as 14T1) $[2, 2, 86]$ $6020.98510015$
14.14.742...232.1 $x^{14} - 2 x^{13} - 37 x^{12} + 62 x^{11} + 450 x^{10} - 640 x^{9} - 2333 x^{8} + 2584 x^{7} + 5734 x^{6} - 4278 x^{5} - 6342 x^{4} + 2284 x^{3} + 2429 x^{2} + 338 x - 17$ $2^{21}\cdot 29^{12}$ $C_{14}$ (as 14T1) trivial $36310148.8597$
14.14.801...625.1 $x^{14} - x^{13} - 42 x^{12} + 41 x^{11} + 646 x^{10} - 606 x^{9} - 4602 x^{8} + 4383 x^{7} + 15261 x^{6} - 16163 x^{5} - 18628 x^{4} + 25257 x^{3} - 1451 x^{2} - 4386 x + 289$ $5^{7}\cdot 29^{13}$ $C_{14}$ (as 14T1) $[4]$ $9017290.60896$
14.0.116...111.1 $x^{14} - x^{13} + 3 x^{12} - 11 x^{11} + 44 x^{10} + 156 x^{9} - 250 x^{8} - 749 x^{7} + 1560 x^{6} + 4490 x^{5} + 3202 x^{4} + 755 x^{3} + 4050 x^{2} + 1750 x + 625$ $-\,71^{13}$ $C_{14}$ (as 14T1) $[49]$ $315114.696625$
14.14.293...909.1 $x^{14} - 42 x^{12} - 63 x^{11} + 539 x^{10} + 1484 x^{9} - 1386 x^{8} - 8597 x^{7} - 7007 x^{6} + 6734 x^{5} + 10591 x^{4} + 490 x^{3} - 3731 x^{2} - 1071 x + 79$ $3^{7}\cdot 7^{25}$ $C_{14}$ (as 14T1) trivial $38295714.6563$
14.14.312...125.1 $x^{14} - 5 x^{13} - 34 x^{12} + 135 x^{11} + 470 x^{10} - 1207 x^{9} - 3159 x^{8} + 3921 x^{7} + 9113 x^{6} - 3280 x^{5} - 7200 x^{4} + 698 x^{3} + 529 x^{2} - 62 x + 1$ $5^{7}\cdot 43^{12}$ $C_{14}$ (as 14T1) trivial $32204571.9144$
14.0.313...984.1 $x^{14} + 42 x^{12} + 623 x^{10} + 4431 x^{8} + 16513 x^{6} + 31906 x^{4} + 28784 x^{2} + 9409$ $-\,2^{14}\cdot 7^{24}$ $C_{14}$ (as 14T1) $[71]$ $35256.6897369$
14.14.375...441.1 $x^{14} - x^{13} - 41 x^{12} - 19 x^{11} + 585 x^{10} + 887 x^{9} - 2996 x^{8} - 7649 x^{7} + 1803 x^{6} + 19387 x^{5} + 16761 x^{4} - 45 x^{3} - 4323 x^{2} - 434 x + 337$ $3^{7}\cdot 43^{13}$ $C_{14}$ (as 14T1) trivial $38725608.4697$
14.0.689...011.1 $x^{14} - 5 x^{13} + 6 x^{12} + 11 x^{11} + 54 x^{10} - 315 x^{9} + 1275 x^{8} - 3203 x^{7} + 9895 x^{6} - 18010 x^{5} + 45292 x^{4} - 47572 x^{3} + 108523 x^{2} - 68096 x + 130153$ $-\,11^{7}\cdot 29^{12}$ $C_{14}$ (as 14T1) $[2, 2, 86]$ $6020.985100147561$
14.0.845...627.1 $x^{14} - x^{13} + 45 x^{12} - 46 x^{11} + 646 x^{10} - 693 x^{9} + 3489 x^{8} - 5970 x^{7} + 7170 x^{6} - 27038 x^{5} + 34790 x^{4} - 15372 x^{3} + 128440 x^{2} - 135147 x + 77023$ $-\,7^{7}\cdot 29^{13}$ $C_{14}$ (as 14T1) $[2, 2, 2, 116]$ $6020.98510015$
14.14.126...128.1 $x^{14} - 2 x^{13} - 44 x^{12} + 74 x^{11} + 645 x^{10} - 924 x^{9} - 4033 x^{8} + 4572 x^{7} + 11777 x^{6} - 9184 x^{5} - 15970 x^{4} + 5098 x^{3} + 8842 x^{2} + 1584 x - 59$ $2^{14}\cdot 3^{7}\cdot 29^{12}$ $C_{14}$ (as 14T1) trivial $64981687.802080065$
14.14.149...125.1 $x^{14} - 7 x^{13} - 28 x^{12} + 217 x^{11} + 322 x^{10} - 2415 x^{9} - 2149 x^{8} + 11383 x^{7} + 8197 x^{6} - 20622 x^{5} - 12474 x^{4} + 12390 x^{3} + 5201 x^{2} - 1876 x - 589$ $5^{7}\cdot 7^{24}$ $C_{14}$ (as 14T1) trivial $182487917.959$
14.0.215...728.1 $x^{14} + 58 x^{12} + 1160 x^{10} + 9976 x^{8} + 36192 x^{6} + 50112 x^{4} + 24128 x^{2} + 3712$ $-\,2^{21}\cdot 29^{13}$ $C_{14}$ (as 14T1) $[2, 2, 2, 86]$ $6020.98510015$
14.14.215...728.1 $x^{14} - 58 x^{12} + 1160 x^{10} - 9976 x^{8} + 36192 x^{6} - 50112 x^{4} + 24128 x^{2} - 3712$ $2^{21}\cdot 29^{13}$ $C_{14}$ (as 14T1) $[2]$ $37423913.5688$
14.14.219...888.1 $x^{14} - 42 x^{12} + 539 x^{10} - 2401 x^{8} + 3773 x^{6} - 1470 x^{4} + 196 x^{2} - 7$ $2^{14}\cdot 7^{25}$ $C_{14}$ (as 14T1) trivial $240053229.029$
14.14.222...197.1 $x^{14} - 5 x^{13} - 36 x^{12} + 191 x^{11} + 360 x^{10} - 2271 x^{9} - 1083 x^{8} + 11209 x^{7} - 779 x^{6} - 23974 x^{5} + 6292 x^{4} + 22724 x^{3} - 7601 x^{2} - 7796 x + 2941$ $13^{7}\cdot 29^{12}$ $C_{14}$ (as 14T1) trivial $185972880.57126507$
14.14.281...312.1 $x^{14} - 43 x^{12} + 602 x^{10} - 3397 x^{8} + 8514 x^{6} - 9030 x^{4} + 3053 x^{2} - 43$ $2^{14}\cdot 43^{13}$ $C_{14}$ (as 14T1) trivial $662730577.528$
14.0.329...743.1 $x^{14} - 5 x^{13} - 13 x^{12} + 45 x^{11} + 236 x^{10} - 82 x^{9} - 828 x^{8} - 171 x^{7} + 6224 x^{6} + 8174 x^{5} + 5181 x^{4} + 3227 x^{3} + 53608 x^{2} + 87199 x + 85141$ $-\,7^{7}\cdot 43^{12}$ $C_{14}$ (as 14T1) $[2, 2, 2, 2, 2, 14]$ $35991.64185055774$
14.0.358...067.1 $x^{14} - x^{13} + 31 x^{12} + 36 x^{11} + 643 x^{10} + 844 x^{9} + 7385 x^{8} + 14106 x^{7} + 58178 x^{6} + 65124 x^{5} + 122335 x^{4} + 9326 x^{3} + 93727 x^{2} + 33565 x + 18769$ $-\,3^{7}\cdot 71^{12}$ $C_{14}$ (as 14T1) $[43]$ $315114.696625$
14.0.604...375.1 $x^{14} - 5 x^{13} + 13 x^{12} - 19 x^{11} + 150 x^{10} - 514 x^{9} + 2438 x^{8} - 6347 x^{7} + 22552 x^{6} - 42720 x^{5} + 123031 x^{4} - 143071 x^{3} + 363084 x^{2} - 231593 x + 499381$ $-\,3^{7}\cdot 5^{7}\cdot 29^{12}$ $C_{14}$ (as 14T1) $[2, 2, 2, 226]$ $6020.985100147561$
14.0.838...952.1 $x^{14} - 2 x^{13} - 21 x^{12} + 82 x^{11} + 138 x^{10} - 1164 x^{9} + 2063 x^{8} - 824 x^{7} + 4950 x^{6} - 26778 x^{5} + 57742 x^{4} - 70268 x^{3} + 124449 x^{2} - 210818 x + 208427$ $-\,2^{21}\cdot 43^{12}$ $C_{14}$ (as 14T1) $[203]$ $35991.64185055774$
14.14.838...952.1 $x^{14} - 2 x^{13} - 49 x^{12} + 130 x^{11} + 690 x^{10} - 2164 x^{9} - 3225 x^{8} + 13320 x^{7} + 86 x^{6} - 26074 x^{5} + 20214 x^{4} - 1996 x^{3} - 1359 x^{2} + 78 x + 7$ $2^{21}\cdot 43^{12}$ $C_{14}$ (as 14T1) trivial $1198577302.5055304$
14.0.104...875.1 $x^{14} + 42 x^{12} - 119 x^{11} + 553 x^{10} - 2702 x^{9} + 6174 x^{8} - 15735 x^{7} + 36995 x^{6} - 61572 x^{5} + 88655 x^{4} - 58940 x^{3} + 2863 x^{2} - 4557 x + 30361$ $-\,5^{7}\cdot 7^{25}$ $C_{14}$ (as 14T1) $[254]$ $35256.6897369$
14.0.134...375.1 $x^{14} - x^{13} + 45 x^{12} + 67 x^{11} + 585 x^{10} + 2263 x^{9} + 4916 x^{8} + 17291 x^{7} + 36289 x^{6} + 71331 x^{5} + 129077 x^{4} + 181931 x^{3} + 270017 x^{2} + 169588 x + 119189$ $-\,5^{7}\cdot 43^{13}$ $C_{14}$ (as 14T1) $[2842]$ $35991.6418506$
14.14.145...593.1 $x^{14} - 5 x^{13} - 43 x^{12} + 221 x^{11} + 558 x^{10} - 3122 x^{9} - 2666 x^{8} + 18469 x^{7} + 3280 x^{6} - 47088 x^{5} + 4167 x^{4} + 51345 x^{3} - 9196 x^{2} - 18921 x + 2669$ $17^{7}\cdot 29^{12}$ $C_{14}$ (as 14T1) trivial $360797378.6945197$
14.0.199...319.1 $x^{14} - x^{13} + 74 x^{12} - 75 x^{11} + 1806 x^{10} - 1882 x^{9} + 17670 x^{8} - 25893 x^{7} + 68157 x^{6} - 189003 x^{5} + 252348 x^{4} - 306967 x^{3} + 1166437 x^{2} - 1133182 x + 741761$ $-\,11^{7}\cdot 29^{13}$ $C_{14}$ (as 14T1) $[2, 8, 8, 40]$ $6020.985100147561$
14.0.268...544.1 $x^{14} + 61 x^{12} + 1402 x^{10} + 15247 x^{8} + 80418 x^{6} + 185798 x^{4} + 127429 x^{2} + 18769$ $-\,2^{14}\cdot 71^{12}$ $C_{14}$ (as 14T1) $[3277]$ $315114.696625$
14.0.316...299.1 $x^{14} - 5 x^{13} + 20 x^{12} - 49 x^{11} + 288 x^{10} - 863 x^{9} + 4381 x^{8} - 11303 x^{7} + 44797 x^{6} - 86598 x^{5} + 279108 x^{4} - 343260 x^{3} + 959807 x^{2} - 625188 x + 1493501$ $-\,19^{7}\cdot 29^{12}$ $C_{14}$ (as 14T1) $[4, 4, 284]$ $6020.985100147561$
14.14.367...712.1 $x^{14} - 87 x^{12} + 2610 x^{10} - 33669 x^{8} + 183222 x^{6} - 380538 x^{4} + 274833 x^{2} - 63423$ $2^{14}\cdot 3^{7}\cdot 29^{13}$ $C_{14}$ (as 14T1) $[2]$ $507287316.96595275$
14.0.401...952.1 $x^{14} - 28 x^{12} - 42 x^{11} + 371 x^{10} + 1022 x^{9} - 791 x^{8} - 4240 x^{7} + 8057 x^{6} + 35938 x^{5} + 35840 x^{4} + 6146 x^{3} + 123060 x^{2} + 334516 x + 420353$ $-\,2^{21}\cdot 7^{24}$ $C_{14}$ (as 14T1) $[953]$ $35256.68973693789$
14.14.401...952.1 $x^{14} - 56 x^{12} - 42 x^{11} + 1043 x^{10} + 1190 x^{9} - 7987 x^{8} - 11184 x^{7} + 22169 x^{6} + 37282 x^{5} - 5292 x^{4} - 22190 x^{3} - 3164 x^{2} + 3500 x + 881$ $2^{21}\cdot 7^{24}$ $C_{14}$ (as 14T1) trivial $741991346.6880023$
14.0.452...000.1 $x^{14} - 2 x^{13} + 12 x^{12} - 22 x^{11} + 261 x^{10} - 332 x^{9} + 3687 x^{8} - 2596 x^{7} + 35841 x^{6} - 17536 x^{5} + 240758 x^{4} - 110934 x^{3} + 986314 x^{2} - 244032 x + 1783541$ $-\,2^{14}\cdot 5^{7}\cdot 29^{12}$ $C_{14}$ (as 14T1) $[2, 2, 2, 406]$ $6020.985100147561$
14.14.489...553.1 $x^{14} - x^{13} - 52 x^{12} + 31 x^{11} + 908 x^{10} - 162 x^{9} - 6351 x^{8} - 856 x^{7} + 16495 x^{6} + 3600 x^{5} - 18257 x^{4} - 3381 x^{3} + 8945 x^{2} + 874 x - 1583$ $113^{13}$ $C_{14}$ (as 14T1) trivial $392671339.436$
14.14.637...181.1 $x^{14} - 5 x^{13} - 50 x^{12} + 251 x^{11} + 798 x^{10} - 4123 x^{9} - 5149 x^{8} + 28717 x^{7} + 12607 x^{6} - 86298 x^{5} - 7172 x^{4} + 104780 x^{3} - 6213 x^{2} - 34448 x - 2999$ $3^{7}\cdot 7^{7}\cdot 29^{12}$ $C_{14}$ (as 14T1) trivial $1313003537.670304$
14.14.643...713.1 $x^{14} - x^{13} - 100 x^{12} + 99 x^{11} + 3546 x^{10} - 3448 x^{9} - 56106 x^{8} + 60585 x^{7} + 392145 x^{6} - 556143 x^{5} - 905100 x^{4} + 1955033 x^{3} - 820295 x^{2} - 98752 x + 40193$ $13^{7}\cdot 29^{13}$ $C_{14}$ (as 14T1) $[2]$ $278026941.252397$
14.0.778...571.1 $x^{14} - 5 x^{13} - 6 x^{12} + 15 x^{11} + 242 x^{10} - 7 x^{9} + 149 x^{8} - 135 x^{7} + 11005 x^{6} + 13904 x^{5} + 39776 x^{4} + 35930 x^{3} + 201521 x^{2} + 257594 x + 376249$ $-\,11^{7}\cdot 43^{12}$ $C_{14}$ (as 14T1) $[743]$ $35991.64185055774$
14.0.120...327.1 $x^{14} - 5 x^{13} + 27 x^{12} - 79 x^{11} + 468 x^{10} - 1362 x^{9} + 7314 x^{8} - 18671 x^{7} + 80950 x^{6} - 158128 x^{5} + 561187 x^{4} - 714115 x^{3} + 2179894 x^{2} - 1446221 x + 3780979$ $-\,23^{7}\cdot 29^{12}$ $C_{14}$ (as 14T1) $[2, 2, 1806]$ $6020.985100147561$
14.14.128...125.1 $x^{14} - 5 x^{13} - 58 x^{12} + 331 x^{11} + 992 x^{10} - 7505 x^{9} - 2735 x^{8} + 69297 x^{7} - 53449 x^{6} - 249558 x^{5} + 357294 x^{4} + 220050 x^{3} - 546085 x^{2} + 155950 x + 42725$ $5^{7}\cdot 71^{12}$ $C_{14}$ (as 14T1) trivial $2275616720.816886$
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