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Label Polynomial Discriminant Galois group Class group Regulator
14.0.631...384.1 $x^{14} + 20 x^{12} + 123 x^{10} + 335 x^{8} + 445 x^{6} + 276 x^{4} + 62 x^{2} + 1$ $-\,2^{14}\cdot 3^{16}\cdot 547^{4}$ $C_2^7.A_7$ (as 14T56) $[4, 28]$ $9069.6658801$
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) $[203]$ $35991.6418506$
14.0.122...483.1 $x^{14} - 6 x^{13} + 27 x^{12} - 88 x^{11} + 49 x^{10} + 30 x^{9} + 1094 x^{8} + 2216 x^{7} + 4015 x^{6} + 7470 x^{5} + 8603 x^{4} + 5072 x^{3} + 7239 x^{2} - 870 x + 2012$ $-\,1987^{7}$ $D_{7}$ (as 14T2) $[13, 13]$ $27094.4760334$
14.0.131...152.1 $x^{14} + 16 x^{12} - 44 x^{11} - 22 x^{10} - 316 x^{9} - 56 x^{8} + 1628 x^{7} + 2241 x^{6} - 9220 x^{5} + 38232 x^{4} - 134240 x^{3} + 292724 x^{2} - 281808 x + 148464$ $-\,2^{21}\cdot 251^{7}$ $D_{7}$ (as 14T2) $[13, 26]$ $248174.330546$
14.0.372...376.1 $x^{14} + 13 x^{12} - 10 x^{11} + 103 x^{10} - 258 x^{9} + 513 x^{8} - 1060 x^{7} + 3590 x^{6} - 3072 x^{5} + 4146 x^{4} - 3444 x^{3} + 5982 x^{2} - 2140 x + 1454$ $-\,2^{30}\cdot 809^{5}$ $C_2^4.\GL(3,2)$ (as 14T42) $[2, 80]$ $19291.3072044$
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) $[203]$ $35256.6897369$
14.0.742...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) $[2, 2, 86]$ $6020.98510015$
14.0.742...232.2 $x^{14} + 32 x^{12} + 356 x^{10} + 1696 x^{8} + 3776 x^{6} + 3808 x^{4} + 1472 x^{2} + 128$ $-\,2^{21}\cdot 29^{12}$ $C_2\times F_8$ (as 14T9) $[2, 2, 40]$ $6020.985100147561$
14.0.148...504.1 $x^{14} + 43 x^{12} + 642 x^{10} + 4466 x^{8} + 15508 x^{6} + 25684 x^{4} + 16796 x^{2} + 3236$ $-\,2^{32}\cdot 809^{5}$ $C_2^4.\GL(3,2)$ (as 14T42) $[2, 254]$ $19291.3072044$
14.0.148...504.2 $x^{14} + 31 x^{12} + 349 x^{10} + 1835 x^{8} + 4925 x^{6} + 6763 x^{4} + 4255 x^{2} + 809$ $-\,2^{32}\cdot 809^{5}$ $C_2^4.\GL(3,2)$ (as 14T42) $[2, 66]$ $19291.307204363322$
14.0.443...208.1 $x^{14} + 33 x^{12} + 357 x^{10} + 1717 x^{8} + 3843 x^{6} + 3555 x^{4} + 727 x^{2} + 7$ $-\,2^{12}\cdot 7^{9}\cdot 173^{6}$ $C_2\wr F_7$ (as 14T48) $[216]$ $93324.5652468$
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) $[2, 2, 2, 116]$ $6020.98510015$
14.0.160...192.1 $x^{14} - 4 x^{13} - 56 x^{11} + 122 x^{10} + 672 x^{9} - 536 x^{8} - 376 x^{7} - 14255 x^{6} + 15828 x^{5} + 237656 x^{4} - 710096 x^{3} + 745620 x^{2} - 384880 x + 270304$ $-\,2^{14}\cdot 997^{7}$ $D_{7}$ (as 14T2) $[13, 26]$ $2568027.22257$
14.0.192...312.1 $x^{14} + 27 x^{12} + 300 x^{10} + 1767 x^{8} + 5900 x^{6} + 10978 x^{4} + 10183 x^{2} + 3323$ $-\,2^{14}\cdot 29^{12}\cdot 3323$ $C_2 \wr C_7$ (as 14T29) $[2, 2, 2, 108]$ $6020.98510015$
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) $[2, 2, 2, 86]$ $6020.98510015$
14.0.284...272.2 $x^{14} + 31 x^{12} + 387 x^{10} + 2496 x^{8} + 8858 x^{6} + 16949 x^{4} + 15606 x^{2} + 4913$ $-\,2^{14}\cdot 17^{3}\cdot 29^{12}$ $C_2 \wr C_7$ (as 14T29) $[2, 2, 228]$ $6020.985100147561$
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) $[2, 2, 2, 2, 2, 14]$ $35991.64185055774$
14.0.838...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) $[203]$ $35991.64185055774$
14.0.104...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) $[254]$ $35256.6897369$
14.0.371...872.1 $x^{14} - 4 x^{13} + 12 x^{12} - 196 x^{11} + 666 x^{10} + 196 x^{9} + 3928 x^{8} - 20468 x^{7} - 56679 x^{6} + 182464 x^{5} + 35788 x^{4} + 818984 x^{3} - 2238836 x^{2} - 6183696 x + 17351728$ $-\,2^{21}\cdot 11^{7}\cdot 71^{7}$ $D_{7}$ (as 14T2) $[26, 26]$ $6726511.81525$
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) $[953]$ $35256.68973693789$
14.0.414...376.1 $x^{14} + 48 x^{12} + 792 x^{10} + 5154 x^{8} + 10752 x^{6} + 8076 x^{4} + 2237 x^{2} + 144$ $-\,2^{16}\cdot 3^{16}\cdot 59^{8}$ $C_2\times \GL(3,2)$ (as 14T17) $[2, 144]$ $4381515.588278464$
14.0.766...984.1 $x^{14} + 59 x^{12} + 1344 x^{10} + 15094 x^{8} + 88991 x^{6} + 269951 x^{4} + 364517 x^{2} + 121100$ $-\,2^{12}\cdot 7^{9}\cdot 173^{7}$ $C_2\wr F_7$ (as 14T48) $[2, 496]$ $93324.56524684995$
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) $[743]$ $35991.64185055774$
14.0.223...567.1 $x^{14} - x^{13} + 5 x^{12} + 53 x^{11} - 244 x^{10} - 836 x^{9} + 2049 x^{8} + 5527 x^{7} + 10394 x^{6} + 4960 x^{5} - 21241 x^{4} + 21289 x^{3} + 157025 x^{2} + 187457 x + 72493$ $-\,127^{13}$ $C_{14}$ (as 14T1) $[215]$ $546287.210347$
14.0.135...863.1 $x^{14} - 5 x^{13} - 37 x^{12} + 241 x^{11} + 470 x^{10} - 5072 x^{9} + 2206 x^{8} + 45789 x^{7} - 85066 x^{6} - 115656 x^{5} + 581817 x^{4} - 1062045 x^{3} + 1664828 x^{2} - 2121563 x + 2155133$ $-\,7^{7}\cdot 71^{12}$ $C_{14}$ (as 14T1) $[301]$ $315114.6966253571$
14.0.214...848.1 $x^{14} - 2 x^{13} - 60 x^{12} - 64 x^{11} + 2966 x^{10} + 948 x^{9} - 55280 x^{8} - 117188 x^{7} + 1093128 x^{6} - 26052 x^{5} - 3601860 x^{4} - 8150904 x^{3} + 12778236 x^{2} + 28047240 x + 12774708$ $-\,2^{20}\cdot 3^{12}\cdot 7^{11}\cdot 11^{7}$ $F_7 \times C_2$ (as 14T7) $[2, 2, 28]$ $13603403.850517571$
14.0.164...531.1 $x^{14} - x^{13} + 8 x^{12} + 58 x^{11} - 1089 x^{10} - 1653 x^{9} + 22837 x^{8} + 60342 x^{7} - 23157 x^{6} - 53486 x^{5} + 434837 x^{4} + 473241 x^{3} - 217661 x^{2} + 293289 x + 715937$ $-\,211^{13}$ $C_{14}$ (as 14T1) $[843]$ $2943138.71663$
14.0.548...279.1 $x^{14} - 3 x^{13} + 97 x^{12} - 323 x^{11} + 3835 x^{10} - 9281 x^{9} + 59173 x^{8} - 100397 x^{7} + 336187 x^{6} - 326505 x^{5} + 331393 x^{4} + 849333 x^{3} + 1997814 x^{2} + 4372452 x + 27769824$ $-\,3^{7}\cdot 13^{7}\cdot 43^{12}$ $D_{14}$ (as 14T3) $[7, 28]$ $8179081422.085226$
14.0.830...319.1 $x^{14} - x^{13} + 9 x^{12} + 373 x^{11} + 170 x^{10} - 5214 x^{9} - 4853 x^{8} + 10839 x^{7} + 92428 x^{6} - 33400 x^{5} - 37491 x^{4} - 5712 x^{3} + 452768 x^{2} + 1090787 x + 921317$ $-\,239^{13}$ $C_{14}$ (as 14T1) $[4, 4, 60]$ $3022802.06733$
14.0.105...792.1 $x^{14} - 4 x^{13} - 5 x^{12} - 160 x^{11} - 1229 x^{10} - 9340 x^{9} - 17511 x^{8} + 76440 x^{7} + 2330180 x^{6} + 23127544 x^{5} + 134483732 x^{4} + 472390096 x^{3} + 1014458144 x^{2} + 1199002816 x + 586350912$ $-\,2^{14}\cdot 13^{7}\cdot 29^{13}$ $D_{14}$ (as 14T3) $[2, 56]$ $20486635231.935226$
14.0.177...304.2 $x^{14} + 1624 x^{10} - 54056 x^{8} + 1380400 x^{6} + 32551456 x^{4} + 270326400 x^{2} + 795760000$ $-\,2^{21}\cdot 7^{7}\cdot 29^{13}$ $D_{14}$ (as 14T3) $[2, 56]$ $712825269.7499019$
14.0.179...008.1 $x^{14} - 4 x^{13} + 74 x^{12} - 232 x^{11} + 1824 x^{10} - 8172 x^{9} - 4798 x^{8} - 159336 x^{7} - 185485 x^{6} + 2317528 x^{5} + 19770796 x^{4} + 109323736 x^{3} + 363678756 x^{2} + 817601808 x + 1252146832$ $-\,2^{21}\cdot 17^{6}\cdot 29^{12}$ $D_{14}$ (as 14T3) $[287]$ $12190764314.221407$
14.0.277...016.1 $x^{14} - 7 x^{13} - 77 x^{12} + 553 x^{11} + 791 x^{10} + 5089 x^{9} - 175245 x^{8} + 312321 x^{7} + 7407960 x^{6} - 57870680 x^{5} + 246825656 x^{4} - 716881340 x^{3} + 1365939736 x^{2} - 723995608 x + 186568600$ $-\,2^{12}\cdot 3^{13}\cdot 7^{15}\cdot 19^{7}$ $F_7 \times C_2$ (as 14T7) $[2, 56]$ $854254367.342585$
14.0.277...016.2 $x^{14} + 42 x^{12} - 672 x^{11} + 1722 x^{10} - 30324 x^{9} + 225204 x^{8} - 790434 x^{7} + 6533520 x^{6} - 31857756 x^{5} + 100671144 x^{4} - 509486376 x^{3} + 1796943288 x^{2} - 4118110080 x + 6650374152$ $-\,2^{12}\cdot 3^{13}\cdot 7^{15}\cdot 19^{7}$ $F_7 \times C_2$ (as 14T7) $[2, 56]$ $747103534.6272614$
14.2.380...392.1 $x^{14} - 19 x^{12} + 1091 x^{10} - 47281 x^{8} + 1937408 x^{6} + 21361280 x^{4} + 48738304 x^{2} - 50761728$ $2^{18}\cdot 17^{7}\cdot 29^{12}$ $D_{14}$ (as 14T3) $[287]$ $25536146969.702457$
14.0.403...279.2 $x^{14} - 4 x^{13} + 72 x^{12} - 50 x^{11} + 4075 x^{10} - 12321 x^{9} + 179252 x^{8} - 358936 x^{7} + 2806254 x^{6} - 3176852 x^{5} + 15512329 x^{4} + 61313304 x^{3} + 34877098 x^{2} - 609717780 x + 660084075$ $-\,7^{7}\cdot 113^{13}$ $D_{14}$ (as 14T3) $[224]$ $2450966767.2761745$
14.0.433...464.1 $x^{14} - 1646412 x^{7} + 827994062832$ $-\,2^{12}\cdot 3^{13}\cdot 7^{10}\cdot 113^{7}$ $F_7 \times C_2$ (as 14T7) $[2, 2, 2, 84]$ $204177107.94157907$
14.0.367...000.1 $x^{14} - 6 x^{13} + 141 x^{12} - 540 x^{11} + 9063 x^{10} - 20694 x^{9} + 362455 x^{8} - 181776 x^{7} + 9194640 x^{6} + 12413520 x^{5} + 137798676 x^{4} + 396011280 x^{3} + 1111597264 x^{2} + 1773806976 x + 3089907456$ $-\,2^{21}\cdot 3^{7}\cdot 5^{7}\cdot 29^{13}$ $D_{14}$ (as 14T3) $[2, 2, 28]$ $1351961747440.7812$
14.0.842...208.1 $x^{14} - 42 x^{12} - 1134 x^{11} + 11802 x^{10} + 53844 x^{9} - 73920 x^{8} - 6228270 x^{7} + 7615608 x^{6} + 199095288 x^{5} + 560215320 x^{4} - 4276446720 x^{3} - 23871078672 x^{2} + 17534584032 x + 318379381896$ $-\,2^{12}\cdot 3^{13}\cdot 7^{15}\cdot 43^{7}$ $F_7 \times C_2$ (as 14T7) $[2, 2, 2, 2, 8]$ $6247832417.53413$
14.0.249...375.1 $x^{14} - x^{13} + 117 x^{12} + 155 x^{11} + 4803 x^{10} - 515 x^{9} + 140213 x^{8} + 66673 x^{7} + 2340263 x^{6} - 2369895 x^{5} + 35083449 x^{4} - 8411569 x^{3} + 266968326 x^{2} - 728057468 x + 2656838264$ $-\,5^{7}\cdot 11^{7}\cdot 71^{12}$ $D_{14}$ (as 14T3) $[7, 28]$ $57356301883.73672$
14.0.324...408.1 $x^{14} - 7 x^{13} + 35 x^{12} - 119 x^{11} + 329 x^{10} - 721 x^{9} + 1337 x^{8} - 1781 x^{7} + 1750 x^{6} - 11200 x^{5} + 25732 x^{4} + 2716 x^{3} - 29372 x^{2} + 7868 x + 19268$ $-\,2^{12}\cdot 3^{12}\cdot 7^{15}\cdot 11^{12}$ $F_7$ (as 14T4) $[21, 21]$ $2264292566.3672185$
14.0.136...576.1 $x^{14} - 546 x^{11} + 23142 x^{10} + 55146 x^{9} + 986790 x^{8} - 11166714 x^{7} + 73320786 x^{6} + 901161912 x^{5} + 5598658002 x^{4} - 59350554060 x^{3} - 101239309164 x^{2} - 1287689043816 x + 9229992909090$ $-\,2^{20}\cdot 3^{13}\cdot 7^{15}\cdot 29^{7}$ $F_7 \times C_2$ (as 14T7) $[2, 2, 2, 2, 2, 4]$ $16753377033.489815$
14.0.786...792.1 $x^{14} - 7 x^{13} + 245 x^{12} - 1379 x^{11} + 24899 x^{10} - 112021 x^{9} + 1365287 x^{8} - 4803857 x^{7} + 43689016 x^{6} - 114741256 x^{5} + 815970232 x^{4} - 1444372664 x^{3} + 8218335496 x^{2} - 7525686616 x + 34364905256$ $-\,2^{12}\cdot 3^{12}\cdot 7^{14}\cdot 127^{7}$ $F_7 \times C_2$ (as 14T7) $[2, 2, 2, 70]$ $11589105043.682163$
14.0.134...383.1 $x^{14} - 5 x^{13} + 169 x^{12} - 80 x^{11} + 11879 x^{10} + 83836 x^{9} + 812096 x^{8} + 4553430 x^{7} + 29236538 x^{6} + 131656676 x^{5} + 437050388 x^{4} + 1828671509 x^{3} + 3483267949 x^{2} + 10742312042 x + 37482282313$ $-\,31^{7}\cdot 113^{13}$ $D_{14}$ (as 14T3) $[364]$ $693731994391.2367$
14.0.165...632.1 $x^{14} + 21 x^{12} - 2604 x^{11} - 72513 x^{10} - 1105062 x^{9} + 11881233 x^{8} - 14755884 x^{7} + 1898019291 x^{6} + 7295429316 x^{5} + 404867447187 x^{4} + 2871302200788 x^{3} + 17848276899789 x^{2} + 38687816519310 x + 58828477845603$ $-\,2^{12}\cdot 3^{13}\cdot 7^{15}\cdot 127^{7}$ $F_7 \times C_2$ (as 14T7) $[2, 2, 2, 2, 2, 4]$ $79238453144.25151$
14.0.285...607.1 $x^{14} - 5 x^{13} + 177 x^{12} - 313 x^{11} + 3713 x^{10} - 1329 x^{9} - 442165 x^{8} - 119371 x^{7} + 15934395 x^{6} + 31912189 x^{5} + 356752579 x^{4} + 2358299877 x^{3} + 11585488512 x^{2} + 22710533148 x + 15141702384$ $-\,3^{7}\cdot 421^{13}$ $D_{14}$ (as 14T3) $[140]$ $21085780107944.008$
14.0.313...000.1 $x^{14} - 7 x^{13} + 399 x^{12} - 2303 x^{11} + 66941 x^{10} - 313761 x^{9} + 6129277 x^{8} - 22659577 x^{7} + 330980916 x^{6} - 914940558 x^{5} + 10540831434 x^{4} - 19581358398 x^{3} + 183205041390 x^{2} - 173576517366 x + 1338931580826$ $-\,2^{12}\cdot 3^{12}\cdot 5^{7}\cdot 7^{14}\cdot 43^{7}$ $F_7 \times C_2$ (as 14T7) $[2, 2, 2, 2, 14]$ $469272007854.7352$
14.0.560...663.2 $x^{14} - x^{13} + 151 x^{12} + 840 x^{11} + 27373 x^{10} + 104114 x^{9} + 2360224 x^{8} + 14609904 x^{7} + 203403386 x^{6} + 892401172 x^{5} + 8938569206 x^{4} + 45843147723 x^{3} + 388623886919 x^{2} + 1231895693074 x + 4183893837467$ $-\,7^{7}\cdot 281^{13}$ $D_{14}$ (as 14T3) $[252]$ $721035856019.9542$
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