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Label Polynomial Discriminant Galois group Class group Regulator
20.16.190...744.1 $x^{20} - 4 x^{19} - 10 x^{18} + 76 x^{17} - 76 x^{16} - 376 x^{15} + 1176 x^{14} - 488 x^{13} - 3416 x^{12} + 6654 x^{11} - 1826 x^{10} - 8228 x^{9} + 10419 x^{8} - 2880 x^{7} - 2526 x^{6} + 1562 x^{5} + 142 x^{4} - 204 x^{3} - 6 x^{2} + 10 x + 1$ $2^{30}\cdot 36497^{4}$ $C_3^5.D_6$ (as 20T669) trivial $5153141.14397$
20.16.237...704.1 $x^{20} - 8 x^{19} + 14 x^{18} + 40 x^{17} - 135 x^{16} - 24 x^{15} + 282 x^{14} + 306 x^{13} - 543 x^{12} - 2060 x^{11} + 2840 x^{10} + 3536 x^{9} - 6398 x^{8} - 1810 x^{7} + 5674 x^{6} - 6 x^{5} - 1937 x^{4} + 124 x^{3} + 126 x^{2} - 22 x + 1$ $2^{30}\cdot 38569^{4}$ $C_3^5.D_6$ (as 20T669) trivial $5151639.08353$
20.16.274...761.1 $x^{20} - 7 x^{19} + 4 x^{18} + 69 x^{17} - 125 x^{16} - 220 x^{15} + 658 x^{14} + 130 x^{13} - 1599 x^{12} + 745 x^{11} + 2341 x^{10} - 1813 x^{9} - 2567 x^{8} + 1464 x^{7} + 2013 x^{6} - 59 x^{5} - 561 x^{4} - 127 x^{3} + 29 x^{2} + 12 x + 1$ $17^{4}\cdot 67^{2}\cdot 157^{2}\cdot 4153^{4}$ $C_2^{10}.S_5$ (as 20T799) trivial $5485135.91499$
20.16.596...344.1 $x^{20} - 2 x^{19} - 20 x^{18} + 44 x^{17} + 106 x^{16} - 234 x^{15} - 294 x^{14} + 638 x^{13} + 379 x^{12} - 1044 x^{11} + 10 x^{10} + 1102 x^{9} - 519 x^{8} - 814 x^{7} + 466 x^{6} + 410 x^{5} - 135 x^{4} - 110 x^{3} + 6 x^{2} + 10 x + 1$ $2^{30}\cdot 11^{18}$ $C_2^5:C_{10}$ (as 20T86) trivial $8639485.98255$
20.16.929...136.1 $x^{20} - 8 x^{18} - 9 x^{16} + 140 x^{14} - 141 x^{12} - 297 x^{10} + 629 x^{8} - 432 x^{6} + 134 x^{4} - 19 x^{2} + 1$ $2^{10}\cdot 11^{16}\cdot 14057^{2}$ $C_2^5.C_2^8:C_{10}$ (as 20T751) trivial $11720269.8353$
20.16.104...125.1 $x^{20} - 20 x^{18} - x^{17} + 170 x^{16} + 21 x^{15} - 799 x^{14} - 180 x^{13} + 2258 x^{12} + 814 x^{11} - 3884 x^{10} - 2087 x^{9} + 3846 x^{8} + 3012 x^{7} - 1749 x^{6} - 2239 x^{5} - 74 x^{4} + 630 x^{3} + 251 x^{2} + 30 x + 1$ $5^{15}\cdot 61^{4}\cdot 397^{4}$ $C_4\times C_2^4:S_5$ (as 20T369) trivial $13497748.736$
20.16.174...625.1 $x^{20} - 10 x^{19} + 31 x^{18} + 6 x^{17} - 213 x^{16} + 276 x^{15} + 461 x^{14} - 1121 x^{13} - 307 x^{12} + 2011 x^{11} - 225 x^{10} - 2071 x^{9} + 453 x^{8} + 1359 x^{7} - 279 x^{6} - 562 x^{5} + 98 x^{4} + 120 x^{3} - 20 x^{2} - 8 x + 1$ $5^{10}\cdot 11^{2}\cdot 135049\cdot 10448989^{2}$ $C_2^{10}.S_5\wr C_2$ (as 20T1045) trivial $16265111.0838$
20.16.254...344.1 $x^{20} - 20 x^{18} + 161 x^{16} - 667 x^{14} + 1515 x^{12} - 1892 x^{10} + 1315 x^{8} - 567 x^{6} + 175 x^{4} - 23 x^{2} + 1$ $2^{20}\cdot 11^{16}\cdot 727^{2}$ $C_2^{10}:C_5$ (as 20T341) trivial $18354281.3434$
20.16.374...941.1 $x^{20} - 10 x^{19} + 32 x^{18} - 3 x^{17} - 190 x^{16} + 296 x^{15} + 293 x^{14} - 1009 x^{13} + 141 x^{12} + 1429 x^{11} - 781 x^{10} - 963 x^{9} + 695 x^{8} + 315 x^{7} - 150 x^{6} - 81 x^{5} - 66 x^{4} + 28 x^{3} + 26 x^{2} - 3 x - 1$ $11^{16}\cdot 23^{2}\cdot 683^{2}\cdot 3301$ $C_2^{10}.C_2\wr C_5$ (as 20T846) trivial $24337167.311$
20.16.409...136.1 $x^{20} - 22 x^{18} + 191 x^{16} - 836 x^{14} + 1927 x^{12} - 2068 x^{10} + 251 x^{8} + 1126 x^{6} - 342 x^{4} - 228 x^{2} + 1$ $2^{30}\cdot 3^{10}\cdot 71^{8}$ $C_2^8.(C_5\times D_{10})$ (as 20T538) trivial $25578190.9772$
20.16.477...001.1 $x^{20} - 10 x^{19} + 35 x^{18} - 30 x^{17} - 115 x^{16} + 308 x^{15} - 111 x^{14} - 533 x^{13} + 764 x^{12} + 5 x^{11} - 902 x^{10} + 731 x^{9} + 199 x^{8} - 623 x^{7} + 266 x^{6} + 134 x^{5} - 158 x^{4} + 28 x^{3} + 20 x^{2} - 9 x + 1$ $607^{2}\cdot 37649^{2}\cdot 41579^{2}\cdot 52889$ $C_2^{10}.S_{10}$ (as 20T1110) trivial $26824112.1065$
20.16.491...625.1 $x^{20} - x^{19} - 19 x^{18} + 30 x^{17} + 98 x^{16} - 232 x^{15} - 135 x^{14} + 834 x^{13} - 121 x^{12} - 1724 x^{11} + 117 x^{10} + 1990 x^{9} + 583 x^{8} - 1038 x^{7} - 702 x^{6} + 210 x^{5} + 271 x^{4} - 18 x^{3} - 39 x^{2} + 3 x + 1$ $5^{10}\cdot 11^{16}\cdot 331^{2}$ $C_2^5:C_{10}$ (as 20T86) trivial $24362077.3195$
20.16.783...729.1 $x^{20} - 2 x^{19} - 17 x^{18} + 30 x^{17} + 84 x^{16} - 196 x^{15} + 49 x^{14} + 931 x^{13} - 1429 x^{12} - 3194 x^{11} + 3803 x^{10} + 6374 x^{9} - 3734 x^{8} - 6819 x^{7} + 689 x^{6} + 3565 x^{5} + 984 x^{4} - 621 x^{3} - 429 x^{2} - 69 x - 1$ $3^{6}\cdot 401^{10}$ $C_2\wr D_5$ (as 20T81) trivial $39467877.9053$
20.16.853...409.1 $x^{20} - 5 x^{19} - 4 x^{18} + 44 x^{17} - 5 x^{16} - 118 x^{15} - 24 x^{14} - 33 x^{13} + 421 x^{12} + 821 x^{11} - 1266 x^{10} - 1964 x^{9} + 1566 x^{8} + 2387 x^{7} - 842 x^{6} - 1631 x^{5} + 167 x^{4} + 572 x^{3} - 14 x^{2} - 73 x + 1$ $11^{18}\cdot 43^{4}\cdot 67^{2}$ $C_2^{10}:C_5$ (as 20T341) trivial $35989039.467$
20.16.853...409.2 $x^{20} - 2 x^{19} - 9 x^{18} + 22 x^{17} + 7 x^{16} - 179 x^{15} + 476 x^{14} + 990 x^{13} - 4340 x^{12} - 1429 x^{11} + 14640 x^{10} - 1703 x^{9} - 25203 x^{8} + 6303 x^{7} + 24721 x^{6} - 6047 x^{5} - 13973 x^{4} + 2266 x^{3} + 4120 x^{2} - 221 x - 439$ $11^{18}\cdot 43^{4}\cdot 67^{2}$ $C_2^{10}:C_5$ (as 20T341) trivial $33660253.39018482$
20.16.878...625.1 $x^{20} - x^{19} - 13 x^{18} + 8 x^{17} + 25 x^{16} + 54 x^{15} + 105 x^{14} - 371 x^{13} - 364 x^{12} + 740 x^{11} + 260 x^{10} - 564 x^{9} + 186 x^{8} + 43 x^{7} - 289 x^{6} + 130 x^{5} + 104 x^{4} - 44 x^{3} - 16 x^{2} + 4 x + 1$ $5^{10}\cdot 111847^{2}\cdot 847789^{2}$ $C_2\times S_{10}$ (as 20T1021) trivial $36272403.6087$
20.16.960...224.1 $x^{20} - 10 x^{19} + 33 x^{18} - 12 x^{17} - 167 x^{16} + 316 x^{15} + 122 x^{14} - 876 x^{13} + 545 x^{12} + 838 x^{11} - 1187 x^{10} - 22 x^{9} + 876 x^{8} - 440 x^{7} - 208 x^{6} + 248 x^{5} - 30 x^{4} - 44 x^{3} + 15 x^{2} + 2 x - 1$ $2^{20}\cdot 9649^{2}\cdot 93629^{2}\cdot 112289$ $C_2^{10}.S_{10}$ (as 20T1110) trivial $34109485.6005$
20.16.977...296.1 $x^{20} - 8 x^{19} + 18 x^{18} + 12 x^{17} - 150 x^{16} + 422 x^{15} - 434 x^{14} - 960 x^{13} + 3223 x^{12} - 1716 x^{11} - 4955 x^{10} + 6682 x^{9} + 2165 x^{8} - 6870 x^{7} + 322 x^{6} + 3148 x^{5} - 310 x^{4} - 640 x^{3} + 19 x^{2} + 34 x - 1$ $2^{40}\cdot 31^{4}\cdot 557^{4}$ $C_2^6:S_5$ (as 20T368) trivial $68652763.3501$
20.16.106...256.1 $x^{20} - 20 x^{18} - 10 x^{17} + 112 x^{16} + 180 x^{15} - 422 x^{14} - 838 x^{13} + 1344 x^{12} + 1554 x^{11} - 2714 x^{10} - 1228 x^{9} + 2945 x^{8} + 252 x^{7} - 1610 x^{6} + 156 x^{5} + 396 x^{4} - 70 x^{3} - 32 x^{2} + 4 x + 1$ $2^{30}\cdot 17^{2}\cdot 61^{4}\cdot 397^{4}$ $C_2^{10}.S_5$ (as 20T799) trivial $40870210.734$
20.16.118...000.1 $x^{20} - 6 x^{19} - 2 x^{18} + 68 x^{17} - 53 x^{16} - 288 x^{15} + 114 x^{14} + 1288 x^{13} - 356 x^{12} - 4480 x^{11} + 4204 x^{10} + 3960 x^{9} - 6770 x^{8} + 584 x^{7} + 3098 x^{6} - 980 x^{5} - 577 x^{4} + 170 x^{3} + 50 x^{2} - 4 x - 1$ $2^{24}\cdot 5^{11}\cdot 3469^{4}$ $C_2^9.D_5\wr C_2$ (as 20T755) trivial $63369027.0403$
20.16.118...000.2 $x^{20} - 2 x^{19} - 17 x^{18} + 28 x^{17} + 93 x^{16} - 174 x^{15} - 178 x^{14} + 568 x^{13} - 81 x^{12} - 854 x^{11} + 945 x^{10} + 192 x^{9} - 2093 x^{8} + 642 x^{7} + 2336 x^{6} - 332 x^{5} - 1113 x^{4} - 4 x^{3} + 185 x^{2} + 14 x - 1$ $2^{24}\cdot 5^{11}\cdot 3469^{4}$ $C_2^9.D_5\wr C_2$ (as 20T755) trivial $61587138.6839$
20.16.154...000.1 $x^{20} - 6 x^{19} - 8 x^{18} + 124 x^{17} - 201 x^{16} - 544 x^{15} + 2204 x^{14} - 1782 x^{13} - 3551 x^{12} + 8740 x^{11} - 5372 x^{10} - 3014 x^{9} + 5340 x^{8} - 2100 x^{7} + 654 x^{6} - 952 x^{5} + 505 x^{4} + 6 x^{3} - 46 x^{2} + 2 x + 1$ $2^{30}\cdot 5^{5}\cdot 11^{16}$ $C_2^{10}.C_{10}$ (as 20T427) trivial $50971337.0591$
20.16.190...336.1 $x^{20} - 9 x^{18} + x^{16} + 278 x^{14} - 1410 x^{12} + 3254 x^{10} - 3925 x^{8} + 2351 x^{6} - 534 x^{4} - 9 x^{2} + 1$ $2^{32}\cdot 83^{4}\cdot 983^{4}$ $C_2\times C_4^4:S_5$ (as 20T673) trivial $54059608.8581$
20.16.190...336.2 $x^{20} - 15 x^{18} + 80 x^{16} - 149 x^{14} - 154 x^{12} + 959 x^{10} - 1040 x^{8} - 205 x^{6} + 764 x^{4} - 181 x^{2} + 1$ $2^{32}\cdot 83^{4}\cdot 983^{4}$ $C_2\times C_4^4:S_5$ (as 20T673) trivial $56084904.4458$
20.16.190...336.3 $x^{20} - 15 x^{18} + 82 x^{16} - 203 x^{14} + 190 x^{12} + 101 x^{10} - 310 x^{8} + 127 x^{6} + 72 x^{4} - 45 x^{2} + 1$ $2^{32}\cdot 83^{4}\cdot 983^{4}$ $C_2^9.C_2^4:S_5$ (as 20T964) trivial $55028538.9649$
20.16.190...336.4 $x^{20} - 5 x^{18} - 10 x^{16} + 83 x^{14} - 71 x^{12} - 242 x^{10} + 544 x^{8} - 426 x^{6} + 147 x^{4} - 21 x^{2} + 1$ $2^{32}\cdot 83^{4}\cdot 983^{4}$ $C_2^9.C_2^4:S_5$ (as 20T964) trivial $84439608.1386$
20.16.200...125.1 $x^{20} - 10 x^{19} + 34 x^{18} - 21 x^{17} - 145 x^{16} + 344 x^{15} - 72 x^{14} - 722 x^{13} + 987 x^{12} + 110 x^{11} - 1459 x^{10} + 1052 x^{9} + 682 x^{8} - 1142 x^{7} + 98 x^{6} + 446 x^{5} - 160 x^{4} - 57 x^{3} + 34 x^{2} - 1$ $5^{10}\cdot 11^{16}\cdot 446909$ $C_2^{10}.C_{10}$ (as 20T409) trivial $47906378.6045$
20.16.206...256.1 $x^{20} - 9 x^{18} + 9 x^{16} + 122 x^{14} - 437 x^{12} + 515 x^{10} - 80 x^{8} - 271 x^{6} + 182 x^{4} - 34 x^{2} + 1$ $2^{10}\cdot 61^{6}\cdot 397^{6}$ $C_2^9.S_5$ (as 20T676) trivial $58952585.6348$
20.16.206...256.2 $x^{20} - 14 x^{18} + 68 x^{16} - 115 x^{14} - 75 x^{12} + 464 x^{10} - 466 x^{8} + 80 x^{6} + 66 x^{4} - 21 x^{2} + 1$ $2^{10}\cdot 61^{6}\cdot 397^{6}$ $C_2^9.S_5$ (as 20T676) trivial $66444343.202$
20.16.206...256.3 $x^{20} - x^{18} - 52 x^{16} + 204 x^{14} - 219 x^{12} - 125 x^{10} + 439 x^{8} - 362 x^{6} + 135 x^{4} - 22 x^{2} + 1$ $2^{10}\cdot 61^{6}\cdot 397^{6}$ $C_2^9.S_5$ (as 20T676) trivial $67229906.6348$
20.16.206...304.1 $x^{20} - 10 x^{18} + 25 x^{16} + 39 x^{14} - 256 x^{12} + 339 x^{10} - 48 x^{8} - 167 x^{6} + 94 x^{4} - 17 x^{2} + 1$ $2^{20}\cdot 61^{4}\cdot 397^{4}\cdot 757^{2}$ $C_2^9.C_2^5.S_5$ (as 20T994) trivial $55606894.0564$
20.16.206...304.2 $x^{20} - 8 x^{18} + 15 x^{16} + 33 x^{14} - 149 x^{12} + 153 x^{10} + 24 x^{8} - 122 x^{6} + 67 x^{4} - 14 x^{2} + 1$ $2^{20}\cdot 61^{4}\cdot 397^{4}\cdot 757^{2}$ $C_2^9.C_2^5.S_5$ (as 20T994) trivial $54407443.5302$
20.16.239...104.1 $x^{20} - 2 x^{19} - 26 x^{18} + 52 x^{17} + 223 x^{16} - 538 x^{15} - 624 x^{14} + 2632 x^{13} - 1025 x^{12} - 5288 x^{11} + 7940 x^{10} - 328 x^{9} - 8746 x^{8} + 9440 x^{7} - 5322 x^{6} + 2014 x^{5} - 279 x^{4} - 236 x^{3} + 136 x^{2} - 24 x + 1$ $2^{30}\cdot 101\cdot 38569^{4}$ $C_2^9.C_2^5.S_5$ (as 20T992) trivial $57009083.3594$
20.16.276...896.1 $x^{20} - 16 x^{18} + 106 x^{16} - 375 x^{14} + 759 x^{12} - 864 x^{10} + 482 x^{8} - 53 x^{6} - 52 x^{4} + 12 x^{2} + 1$ $2^{20}\cdot 460181^{2}\cdot 1114969^{2}$ $C_2^9.S_{10}$ (as 20T1105) trivial $64356801.5592$
20.16.276...896.2 $x^{20} - 14 x^{18} + 79 x^{16} - 225 x^{14} + 318 x^{12} - 135 x^{10} - 166 x^{8} + 182 x^{6} - 16 x^{4} - 24 x^{2} + 1$ $2^{20}\cdot 460181^{2}\cdot 1114969^{2}$ $C_2^9.S_{10}$ (as 20T1105) trivial $59654180.2882$
20.16.283...125.1 $x^{20} - 15 x^{18} + 75 x^{16} - 120 x^{14} - 105 x^{12} + 475 x^{10} - 360 x^{8} - 50 x^{6} + 145 x^{4} - 50 x^{2} + 5$ $5^{23}\cdot 47^{8}$ $C_2\wr F_5$ (as 20T135) trivial $82225560.4285$
20.16.303...000.1 $x^{20} - 7 x^{18} - 32 x^{16} + 347 x^{14} - 513 x^{12} - 2288 x^{10} + 8671 x^{8} - 10537 x^{6} + 4896 x^{4} - 715 x^{2} + 1$ $2^{12}\cdot 5^{10}\cdot 52501^{4}$ $C_2^8.D_5\wr C_2$ (as 20T638) trivial $97812738.1471$
20.16.303...000.2 $x^{20} - 15 x^{18} + 86 x^{16} - 225 x^{14} + 206 x^{12} + 202 x^{10} - 529 x^{8} + 286 x^{6} + x^{4} - 18 x^{2} + 1$ $2^{12}\cdot 5^{10}\cdot 52501^{4}$ $C_2^8.D_5^2:C_2^2$ (as 20T760) trivial $92894198.0325$
20.16.344...744.1 $x^{20} - 13 x^{18} + 59 x^{16} - 96 x^{14} - 39 x^{12} + 287 x^{10} - 310 x^{8} + 125 x^{6} - 8 x^{4} - 6 x^{2} + 1$ $2^{20}\cdot 3^{10}\cdot 11^{18}$ $C_2^8:C_{10}$ (as 20T262) trivial $77757254.1139$
20.16.344...744.2 $x^{20} - 13 x^{18} + 48 x^{16} + 3 x^{14} - 314 x^{12} + 430 x^{10} + 64 x^{8} - 238 x^{6} + 102 x^{4} - 17 x^{2} + 1$ $2^{20}\cdot 3^{10}\cdot 11^{18}$ $C_2^8:C_{10}$ (as 20T262) trivial $80763088.0304$
20.16.344...744.3 $x^{20} - 9 x^{18} + 15 x^{16} + 74 x^{14} - 259 x^{12} + 43 x^{10} + 724 x^{8} - 961 x^{6} + 410 x^{4} - 38 x^{2} + 1$ $2^{20}\cdot 3^{10}\cdot 11^{18}$ $C_2^9.C_{10}$ (as 20T340) trivial $66780981.1157$
20.16.344...744.4 $x^{20} - 7 x^{18} - 6 x^{16} + 119 x^{14} - 195 x^{12} - 131 x^{10} + 499 x^{8} - 391 x^{6} + 130 x^{4} - 19 x^{2} + 1$ $2^{20}\cdot 3^{10}\cdot 11^{18}$ $C_2^9.C_{10}$ (as 20T340) trivial $80189119.3177$
20.16.344...744.5 $x^{20} - 9 x^{18} + 15 x^{16} + 63 x^{14} - 215 x^{12} + 142 x^{10} + 141 x^{8} - 213 x^{6} + 91 x^{4} - 16 x^{2} + 1$ $2^{20}\cdot 3^{10}\cdot 11^{18}$ $C_2^9.C_{10}$ (as 20T340) trivial $67396728.1593$
20.16.344...744.6 $x^{20} - 17 x^{18} + 113 x^{16} - 370 x^{14} + 581 x^{12} - 197 x^{10} - 666 x^{8} + 949 x^{6} - 458 x^{4} + 64 x^{2} + 1$ $2^{20}\cdot 3^{10}\cdot 11^{18}$ $C_2^9.C_{10}$ (as 20T340) trivial $79676114.7145$
20.16.361...625.1 $x^{20} - 4 x^{19} - 13 x^{18} + 64 x^{17} + 48 x^{16} - 388 x^{15} - 84 x^{14} + 1291 x^{13} + 374 x^{12} - 2319 x^{11} - 1147 x^{10} + 2195 x^{9} + 1545 x^{8} - 1018 x^{7} - 958 x^{6} + 181 x^{5} + 262 x^{4} - x^{3} - 28 x^{2} - x + 1$ $5^{10}\cdot 1483^{2}\cdot 129751961^{2}$ $C_2\times S_{10}$ (as 20T1021) trivial $69277431.239$
20.16.379...000.1 $x^{20} - 16 x^{18} + 92 x^{16} - 176 x^{14} - 364 x^{12} + 2312 x^{10} - 4144 x^{8} + 3024 x^{6} - 528 x^{4} - 176 x^{2} + 16$ $2^{28}\cdot 5^{10}\cdot 3469^{4}$ $C_2^8.D_5^2:C_2^2$ (as 20T760) trivial $135810042.304$
20.16.403...125.1 $x^{20} - 10 x^{19} + 34 x^{18} - 21 x^{17} - 142 x^{16} + 320 x^{15} - 12 x^{14} - 722 x^{13} + 765 x^{12} + 350 x^{11} - 1243 x^{10} + 632 x^{9} + 613 x^{8} - 854 x^{7} + 155 x^{6} + 323 x^{5} - 218 x^{4} - 4 x^{3} + 46 x^{2} - 13 x + 1$ $5^{10}\cdot 11^{2}\cdot 430061\cdot 28162171^{2}$ $C_2^{10}.S_5\wr C_2$ (as 20T1045) trivial $81974204.1799$
20.16.437...384.1 $x^{20} - 12 x^{18} + 54 x^{16} - 105 x^{14} + 50 x^{12} + 110 x^{10} - 146 x^{8} + 37 x^{6} + 18 x^{4} - 9 x^{2} + 1$ $2^{20}\cdot 11^{16}\cdot 23^{2}\cdot 131^{2}$ $C_2^5.C_2^8:C_{10}$ (as 20T751) trivial $78852501.6337$
20.16.443...408.1 $x^{20} - 19 x^{18} + 158 x^{16} - 755 x^{14} + 2282 x^{12} - 4514 x^{10} + 5832 x^{8} - 4757 x^{6} + 2270 x^{4} - 544 x^{2} + 47$ $2^{20}\cdot 47\cdot 111847^{2}\cdot 847789^{2}$ $C_2^{10}.S_{10}$ (as 20T1110) trivial $81313345.4299$
20.16.502...000.1 $x^{20} - 19 x^{18} + 160 x^{16} - 781 x^{14} + 2421 x^{12} - 4908 x^{10} + 6472 x^{8} - 5367 x^{6} + 2615 x^{4} - 656 x^{2} + 61$ $2^{20}\cdot 5^{10}\cdot 61\cdot 3169^{2}\cdot 8951^{2}$ $C_2^{10}.S_5\wr C_2$ (as 20T1045) trivial $89125879.6608$
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