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Results (46 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
14.0.917...671.1 $x^{14} - x^{13} + 132 x^{12} - 133 x^{11} + 5866 x^{10} - 6000 x^{9} + 108150 x^{8} - 144735 x^{7} + 809745 x^{6} - 1853951 x^{5} + 3501044 x^{4} - 6549159 x^{3} + 18283513 x^{2} - 17492952 x + 14031649$ $-\,19^{7}\cdot 29^{13}$ $C_{14}$ (as 14T1) $[2, 2, 2, 1846]$ $6020.985100147561$
14.0.973...551.1 $x^{14} - 5 x^{13} + 41 x^{12} - 139 x^{11} + 954 x^{10} - 2810 x^{9} + 16990 x^{8} - 43043 x^{7} + 216460 x^{6} - 427080 x^{5} + 1779327 x^{4} - 2350647 x^{3} + 8361848 x^{2} - 5698041 x + 17394953$ $-\,29^{12}\cdot 31^{7}$ $C_{14}$ (as 14T1) $[4, 4, 1356]$ $6020.985100147561$
14.0.131...000.1 $x^{14} + 145 x^{12} + 7250 x^{10} + 155875 x^{8} + 1413750 x^{6} + 4893750 x^{4} + 5890625 x^{2} + 2265625$ $-\,2^{14}\cdot 5^{7}\cdot 29^{13}$ $C_{14}$ (as 14T1) $[2, 2, 2, 2, 1852]$ $6020.985100147561$
14.0.227...875.1 $x^{14} - 5 x^{13} + 48 x^{12} - 169 x^{11} + 1260 x^{10} - 3759 x^{9} + 24153 x^{8} - 61247 x^{7} + 328657 x^{6} - 650470 x^{5} + 2903596 x^{4} - 3877996 x^{3} + 14758999 x^{2} - 10152668 x + 33177421$ $-\,5^{7}\cdot 7^{7}\cdot 29^{12}$ $C_{14}$ (as 14T1) $[2, 2, 2, 5306]$ $6020.985100147561$
14.0.327...375.1 $x^{14} - 7 x^{13} + 7 x^{12} + 7 x^{11} + 322 x^{10} - 700 x^{9} + 966 x^{8} - 1217 x^{7} + 27482 x^{6} - 672 x^{5} + 104601 x^{4} + 13965 x^{3} + 797146 x^{2} + 807429 x + 2290621$ $-\,3^{7}\cdot 5^{7}\cdot 7^{24}$ $C_{14}$ (as 14T1) $[12238]$ $35256.68973693789$
14.0.349...483.1 $x^{14} - x^{13} + 161 x^{12} - 162 x^{11} + 8766 x^{10} - 8929 x^{9} + 199413 x^{8} - 261750 x^{7} + 1855050 x^{6} - 4073118 x^{5} + 9051006 x^{4} - 18171460 x^{3} + 48954232 x^{2} - 47391691 x + 41183711$ $-\,23^{7}\cdot 29^{13}$ $C_{14}$ (as 14T1) $[2, 2, 2, 8516]$ $6020.985100147561$
14.0.357...339.1 $x^{14} - 5 x^{13} + 8 x^{12} - 45 x^{11} + 380 x^{10} - 307 x^{9} + 3663 x^{8} - 1563 x^{7} + 43763 x^{6} + 25532 x^{5} + 293844 x^{4} + 197546 x^{3} + 1450369 x^{2} + 1206310 x + 3303433$ $-\,19^{7}\cdot 43^{12}$ $C_{14}$ (as 14T1) $[7, 3437]$ $35991.64185055774$
14.0.480...056.1 $x^{14} + 126 x^{12} + 4851 x^{10} + 64827 x^{8} + 305613 x^{6} + 357210 x^{4} + 142884 x^{2} + 15309$ $-\,2^{14}\cdot 3^{7}\cdot 7^{25}$ $C_{14}$ (as 14T1) $[2, 7142]$ $35256.68973693789$
14.0.511...000.1 $x^{14} - 2 x^{13} + 46 x^{11} + 165 x^{10} - 1044 x^{9} + 6239 x^{8} - 16892 x^{7} + 74769 x^{6} - 198708 x^{5} + 622438 x^{4} - 1134722 x^{3} + 2734542 x^{2} - 3553304 x + 5334581$ $-\,2^{14}\cdot 5^{7}\cdot 43^{12}$ $C_{14}$ (as 14T1) $[28826]$ $35991.64185055774$
14.0.615...344.1 $x^{14} + 129 x^{12} + 5418 x^{10} + 91719 x^{8} + 689634 x^{6} + 2194290 x^{4} + 2225637 x^{2} + 94041$ $-\,2^{14}\cdot 3^{7}\cdot 43^{13}$ $C_{14}$ (as 14T1) $[2, 18318]$ $35991.64185055774$
14.0.841...219.1 $x^{14} + 126 x^{12} - 301 x^{11} + 4879 x^{10} - 20776 x^{9} + 88998 x^{8} - 354843 x^{7} + 975541 x^{6} - 2371978 x^{5} + 4145911 x^{4} - 3819046 x^{3} + 2580193 x^{2} - 2274769 x + 2817187$ $-\,7^{25}\cdot 13^{7}$ $C_{14}$ (as 14T1) $[26098]$ $35256.68973693789$
14.0.107...631.1 $x^{14} - x^{13} + 131 x^{12} + 153 x^{11} + 5401 x^{10} + 16023 x^{9} + 100892 x^{8} + 382791 x^{7} + 1195655 x^{6} + 3751787 x^{5} + 8385937 x^{4} + 17768243 x^{3} + 27352621 x^{2} + 25865442 x + 22606297$ $-\,13^{7}\cdot 43^{13}$ $C_{14}$ (as 14T1) $[74384]$ $35991.64185055774$
14.0.171...339.1 $x^{14} - 7 x^{13} + 14 x^{12} - 35 x^{11} + 448 x^{10} - 987 x^{9} + 3269 x^{8} - 5165 x^{7} + 50239 x^{6} - 15162 x^{5} + 290430 x^{4} + 126 x^{3} + 1882601 x^{2} + 1399160 x + 5746151$ $-\,7^{24}\cdot 19^{7}$ $C_{14}$ (as 14T1) $[2, 2, 2, 2, 2, 406]$ $35256.68973693789$
14.0.245...000.1 $x^{14} - 7 x^{12} - 42 x^{11} + 308 x^{10} + 896 x^{9} + 3871 x^{8} + 6260 x^{7} + 57890 x^{6} + 141946 x^{5} + 509600 x^{4} + 789740 x^{3} + 2839473 x^{2} + 4042276 x + 8465729$ $-\,2^{14}\cdot 5^{7}\cdot 7^{24}$ $C_{14}$ (as 14T1) $[13538]$ $35256.68973693789$
14.0.319...211.1 $x^{14} - 5 x^{13} - 30 x^{12} + 211 x^{11} + 380 x^{10} - 4561 x^{9} + 3573 x^{8} + 38489 x^{7} - 84021 x^{6} - 101414 x^{5} + 750422 x^{4} - 1936270 x^{3} + 3964475 x^{2} - 5606250 x + 6578125$ $-\,11^{7}\cdot 71^{12}$ $C_{14}$ (as 14T1) $[25781]$ $315114.6966253571$
14.0.550...111.1 $x^{14} + 168 x^{12} - 392 x^{11} + 8659 x^{10} - 36134 x^{9} + 194649 x^{8} - 821778 x^{7} + 2490278 x^{6} - 6786024 x^{5} + 12547871 x^{4} - 13116425 x^{3} + 11092144 x^{2} - 10001649 x + 11183839$ $-\,7^{25}\cdot 17^{7}$ $C_{14}$ (as 14T1) $[35570]$ $35256.68973693789$
14.0.652...247.1 $x^{14} - 7 x^{13} + 21 x^{12} + 7 x^{11} + 154 x^{10} - 2058 x^{9} + 12670 x^{8} - 44565 x^{7} + 173194 x^{6} - 555058 x^{5} + 1703975 x^{4} - 3648323 x^{3} + 8318800 x^{2} - 12694353 x + 19486321$ $-\,7^{24}\cdot 23^{7}$ $C_{14}$ (as 14T1) $[19659]$ $35256.68973693789$
14.0.660...375.1 $x^{14} - x^{13} + 248 x^{12} - 249 x^{11} + 20946 x^{10} - 21196 x^{9} + 747078 x^{8} - 951747 x^{7} + 11017281 x^{6} - 22664583 x^{5} + 74493972 x^{4} - 163620583 x^{3} + 444796489 x^{2} - 451469716 x + 476400689$ $-\,5^{7}\cdot 7^{7}\cdot 29^{13}$ $C_{14}$ (as 14T1) $[2, 2, 2, 2, 5944]$ $6020.985100147561$
14.0.878...024.1 $x^{14} - 42 x^{11} + 371 x^{10} + 854 x^{9} + 6405 x^{8} + 10768 x^{7} + 98329 x^{6} + 216482 x^{5} + 949228 x^{4} + 1471666 x^{3} + 5724964 x^{2} + 7397628 x + 17724049$ $-\,2^{21}\cdot 3^{7}\cdot 7^{24}$ $C_{14}$ (as 14T1) $[49798]$ $35256.68973693789$
14.0.257...875.1 $x^{14} - 5 x^{13} + 36 x^{12} - 165 x^{11} + 1160 x^{10} - 2707 x^{9} + 22811 x^{8} - 27219 x^{7} + 328903 x^{6} - 89140 x^{5} + 3204020 x^{4} + 602378 x^{3} + 19889249 x^{2} + 7744478 x + 58736881$ $-\,5^{7}\cdot 7^{7}\cdot 43^{12}$ $C_{14}$ (as 14T1) $[2, 2, 2, 2, 2, 2, 1486]$ $35991.64185055774$
14.0.615...168.1 $x^{14} + 252 x^{12} + 19404 x^{10} + 518616 x^{8} + 4889808 x^{6} + 11430720 x^{4} + 9144576 x^{2} + 1959552$ $-\,2^{21}\cdot 3^{7}\cdot 7^{25}$ $C_{14}$ (as 14T1) $[2, 47798]$ $35256.68973693789$
14.0.802...352.1 $x^{14} + 113 x^{12} + 3842 x^{10} + 49607 x^{8} + 300354 x^{6} + 891570 x^{4} + 1200173 x^{2} + 569633$ $-\,2^{14}\cdot 113^{13}$ $C_{14}$ (as 14T1) $[2, 2, 26, 104]$ $222748.97284811488$
14.0.909...912.1 $x^{14} - 2 x^{13} - 81 x^{12} - 2 x^{11} + 2330 x^{10} + 3644 x^{9} - 10545 x^{8} + 9188 x^{7} + 53766 x^{6} - 12686 x^{5} + 660458 x^{4} - 64960 x^{3} + 1757945 x^{2} - 76170 x + 1550827$ $-\,2^{21}\cdot 113^{12}$ $C_{14}$ (as 14T1) $[2, 14, 406]$ $222748.97284811488$
14.0.417...688.1 $x^{14} + 213 x^{12} + 14058 x^{10} + 358479 x^{8} + 4244238 x^{6} + 24119694 x^{4} + 59988681 x^{2} + 44875053$ $-\,2^{14}\cdot 3^{7}\cdot 71^{13}$ $C_{14}$ (as 14T1) $[2, 20612]$ $315114.6966253571$
14.0.558...727.1 $x^{14} - 5 x^{13} - 9 x^{12} + 121 x^{11} + 362 x^{10} - 3928 x^{9} + 9774 x^{8} + 9797 x^{7} - 9174 x^{6} - 272000 x^{5} + 2235233 x^{4} - 7683685 x^{3} + 23229632 x^{2} - 38347179 x + 64269769$ $-\,23^{7}\cdot 71^{12}$ $C_{14}$ (as 14T1) $[29, 609]$ $315114.6966253571$
14.0.731...387.1 $x^{14} - x^{13} + 216 x^{12} - 224 x^{11} + 14741 x^{10} + 3351 x^{9} + 373778 x^{8} + 356239 x^{7} + 5954484 x^{6} + 8576249 x^{5} + 52523677 x^{4} + 58323776 x^{3} + 226380237 x^{2} + 112363510 x + 215658439$ $-\,13^{7}\cdot 71^{13}$ $C_{14}$ (as 14T1) $[23110]$ $315114.6966253571$
14.0.174...875.1 $x^{14} - x^{13} + 132 x^{12} + 180 x^{11} + 1915 x^{10} + 2085 x^{9} + 26433 x^{8} + 55438 x^{7} + 760329 x^{6} + 1125862 x^{5} + 3273901 x^{4} + 12466019 x^{3} + 29806445 x^{2} + 33909513 x + 17221049$ $-\,5^{7}\cdot 127^{13}$ $C_{14}$ (as 14T1) $[31370]$ $546287.2103473756$
14.0.403...279.1 $x^{14} - x^{13} + 174 x^{12} - 195 x^{11} + 8592 x^{10} - 29768 x^{9} + 139645 x^{8} - 755470 x^{7} + 2331639 x^{6} - 7462084 x^{5} + 33375503 x^{4} - 30681299 x^{3} + 212182491 x^{2} - 44623278 x + 401609231$ $-\,7^{7}\cdot 113^{13}$ $C_{14}$ (as 14T1) $[4, 4, 4, 928]$ $222748.97284811488$
14.0.530...307.1 $x^{14} - x^{13} + 121 x^{12} - 1302 x^{11} + 15895 x^{10} - 88844 x^{9} + 415211 x^{8} - 1029384 x^{7} + 2348246 x^{6} - 2578842 x^{5} + 5826655 x^{4} - 5062204 x^{3} + 8867677 x^{2} + 982009 x + 117649$ $-\,3^{7}\cdot 281^{12}$ $C_{14}$ (as 14T1) $[50723]$ $12176100.831221418$
14.0.569...864.1 $x^{14} + 205 x^{12} + 14494 x^{10} + 435247 x^{8} + 5615886 x^{6} + 31987214 x^{4} + 69660541 x^{2} + 26863489$ $-\,2^{14}\cdot 239^{12}$ $C_{14}$ (as 14T1) $[2, 2, 2746]$ $3022802.0673343516$
14.0.147...799.1 $x^{14} - x^{13} + 106 x^{12} + 223 x^{11} + 3759 x^{10} + 16405 x^{9} + 45656 x^{8} + 151316 x^{7} - 88208 x^{6} - 1979796 x^{5} + 6623518 x^{4} - 7131374 x^{3} + 191487834 x^{2} - 886029565 x + 1175495059$ $-\,3^{7}\cdot 197^{13}$ $C_{14}$ (as 14T1) $[2, 2, 2, 4334]$ $1553055.199048291$
14.0.281...063.1 $x^{14} - 5 x^{13} - 145 x^{12} + 341 x^{11} + 8850 x^{10} + 200 x^{9} - 234152 x^{8} - 314915 x^{7} + 2594626 x^{6} + 5538516 x^{5} - 3383529 x^{4} + 10375639 x^{3} + 45137186 x^{2} - 15092353 x + 101385859$ $-\,7^{7}\cdot 197^{12}$ $C_{14}$ (as 14T1) $[2, 2, 6874]$ $1553055.199048291$
14.0.469...147.1 $x^{14} - x^{13} + 145 x^{12} + 942 x^{11} + 17921 x^{10} + 73096 x^{9} + 539575 x^{8} + 2139126 x^{7} + 11706638 x^{6} + 34577138 x^{5} + 91138731 x^{4} + 111084264 x^{3} + 103941065 x^{2} + 13397947 x + 1530169$ $-\,3^{7}\cdot 337^{12}$ $C_{14}$ (as 14T1) $[27349]$ $5486180.267403393$
14.0.641...703.1 $x^{14} - 5 x^{13} - 157 x^{12} + 973 x^{11} + 7020 x^{10} - 54802 x^{9} - 32628 x^{8} + 542193 x^{7} + 1063886 x^{6} - 3813892 x^{5} - 9544515 x^{4} + 1156817 x^{3} + 52095720 x^{2} + 85068297 x + 73732261$ $-\,7^{7}\cdot 211^{12}$ $C_{14}$ (as 14T1) $[44303]$ $2943138.716633699$
14.0.110...368.1 $x^{14} + 197 x^{12} + 13790 x^{10} + 415079 x^{8} + 5284722 x^{6} + 26038278 x^{4} + 45764873 x^{2} + 18567053$ $-\,2^{14}\cdot 197^{13}$ $C_{14}$ (as 14T1) $[2, 2, 2, 5470]$ $1553055.199048291$
14.0.163...392.1 $x^{14} - 2 x^{13} - 165 x^{12} + 18 x^{11} + 9506 x^{10} + 10964 x^{9} - 177673 x^{8} - 24564 x^{7} + 2227522 x^{6} - 1741498 x^{5} - 12765982 x^{4} + 25164764 x^{3} + 38391833 x^{2} - 147958606 x + 156990331$ $-\,2^{21}\cdot 211^{12}$ $C_{14}$ (as 14T1) $[7, 10297]$ $2943138.716633699$
14.0.192...267.1 $x^{14} - x^{13} + 163 x^{12} - 240 x^{11} + 18623 x^{10} - 29240 x^{9} + 1079809 x^{8} - 2119020 x^{7} + 45823514 x^{6} - 84406228 x^{5} + 955526889 x^{4} - 1697775762 x^{3} + 13985644907 x^{2} - 20829128573 x + 37391570161$ $-\,3^{7}\cdot 379^{12}$ $C_{14}$ (as 14T1) $[25781]$ $17223236.102860697$
14.0.449...103.1 $x^{14} - x^{13} + 17 x^{12} - 71 x^{11} - 540 x^{10} - 9712 x^{9} + 123934 x^{8} - 900107 x^{7} + 7843772 x^{6} - 48211158 x^{5} + 168859238 x^{4} - 321562607 x^{3} + 591306086 x^{2} - 1637661044 x + 2026251923$ $-\,463^{13}$ $C_{14}$ (as 14T1) $[2, 2, 2842]$ $12278961.491848389$
14.0.212...547.1 $x^{14} - x^{13} + 199 x^{12} - 1616 x^{11} + 35809 x^{10} - 191564 x^{9} + 1615917 x^{8} - 4172674 x^{7} + 33304602 x^{6} - 65395120 x^{5} + 453622293 x^{4} - 99159958 x^{3} + 1531316931 x^{2} - 1079772403 x + 3238861921$ $-\,3^{7}\cdot 463^{12}$ $C_{14}$ (as 14T1) $[2, 2, 15302]$ $12278961.491848389$
14.0.392...827.1 $x^{14} - x^{13} + 20 x^{12} - 162 x^{11} - 1238 x^{10} - 4668 x^{9} + 92865 x^{8} - 914451 x^{7} - 6262919 x^{6} + 5224933 x^{5} + 245440053 x^{4} + 755961898 x^{3} + 716216243 x^{2} - 1079662218 x + 4124434193$ $-\,547^{13}$ $C_{14}$ (as 14T1) $[32259]$ $69192405.98699488$
14.0.442...779.1 $x^{14} - x^{13} + 24 x^{12} - 760 x^{11} - 4652 x^{10} - 14210 x^{9} + 53254 x^{8} + 2644631 x^{7} + 25016954 x^{6} + 79585767 x^{5} + 229342015 x^{4} + 30774107 x^{3} + 1793249698 x^{2} + 3458916720 x + 18994958023$ $-\,659^{13}$ $C_{14}$ (as 14T1) $[2, 2, 4334]$ $89341256.28995533$
14.0.210...343.1 $x^{14} - x^{13} + 27 x^{12} - 963 x^{11} + 2856 x^{10} + 100640 x^{9} - 716739 x^{8} + 549511 x^{7} + 9890696 x^{6} - 41378938 x^{5} + 412351459 x^{4} - 4014600069 x^{3} + 19083041153 x^{2} - 44249771299 x + 41555683709$ $-\,743^{13}$ $C_{14}$ (as 14T1) $[66003]$ $63739206.972093605$
14.0.474...087.3 $x^{14} - 812 x^{11} + 11571 x^{10} - 198534 x^{9} + 5169395 x^{8} - 38066328 x^{7} + 215110980 x^{6} - 2112867848 x^{5} + 12080530203 x^{4} - 43947685383 x^{3} + 263153797984 x^{2} - 206678117415 x + 1787701529889$ $-\,7^{25}\cdot 29^{12}$ $C_{14}$ (as 14T1) $[7, 6769]$ $4115791439.997621$
14.0.474...087.4 $x^{14} - 812 x^{11} + 17255 x^{10} - 221270 x^{9} + 5175079 x^{8} - 37003420 x^{7} + 382419520 x^{6} - 2313638096 x^{5} + 10397884315 x^{4} - 28019912375 x^{3} + 50915744628 x^{2} - 433333386675 x + 2558606699525$ $-\,7^{25}\cdot 29^{12}$ $C_{14}$ (as 14T1) $[287, 287]$ $368248548.12946504$
14.0.137...523.5 $x^{14} - 812 x^{11} - 22533 x^{10} - 73486 x^{9} + 366415 x^{8} + 7780816 x^{7} + 302972831 x^{6} + 1609330814 x^{5} - 12742935849 x^{4} - 72797482464 x^{3} + 323107507394 x^{2} + 606858815682 x + 699223478963$ $-\,7^{25}\cdot 29^{13}$ $C_{14}$ (as 14T1) $[91756]$ $8981416884.6774$
14.0.329...443.4 $x^{14} - 7826 x^{11} + 70735 x^{10} + 494242 x^{9} - 4232963 x^{8} - 54303754 x^{7} + 285753447 x^{6} + 4782561910 x^{5} - 15205020719 x^{4} - 206213160958 x^{3} + 375732658658 x^{2} + 7534219954478 x + 20950836200249$ $-\,7^{24}\cdot 43^{13}$ $C_{14}$ (as 14T1) $[40187]$ $155488734885.34106$
  displayed columns for results