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Label Polynomial Discriminant Galois group Class group Regulator
28.0.503...649.1 $x^{28} - x^{27} + 14 x^{26} - 11 x^{25} + 115 x^{24} - 79 x^{23} + 617 x^{22} - 353 x^{21} + 2421 x^{20} - 1188 x^{19} + 7015 x^{18} - 2803 x^{17} + 15415 x^{16} - 5107 x^{15} + 25195 x^{14} - 6334 x^{13} + 30532 x^{12} - 6088 x^{11} + 26057 x^{10} - 3239 x^{9} + 15207 x^{8} - 1590 x^{7} + 5362 x^{6} - 70 x^{5} + 1050 x^{4} - 84 x^{3} + 77 x^{2} + 7 x + 1$ $3^{14}\cdot 29^{26}$ $C_2\times C_{14}$ (as 28T2) $[4, 4, 12]$ $487075979.1876791$
28.0.282...776.1 $x^{28} + 27 x^{26} + 325 x^{24} + 2300 x^{22} + 10626 x^{20} + 33649 x^{18} + 74613 x^{16} + 116280 x^{14} + 125970 x^{12} + 92378 x^{10} + 43758 x^{8} + 12376 x^{6} + 1820 x^{4} + 105 x^{2} + 1$ $2^{28}\cdot 29^{26}$ $C_2\times C_{14}$ (as 28T2) $[4, 4, 84]$ $487075979.1876791$
28.28.642...625.1 $x^{28} - x^{27} - 40 x^{26} + 35 x^{25} + 667 x^{24} - 497 x^{23} - 6073 x^{22} + 3733 x^{21} + 33381 x^{20} - 16356 x^{19} - 116335 x^{18} + 43955 x^{17} + 264151 x^{16} - 74631 x^{15} - 396001 x^{14} + 80966 x^{13} + 391804 x^{12} - 55684 x^{11} - 251669 x^{10} + 23519 x^{9} + 101079 x^{8} - 5634 x^{7} - 23674 x^{6} + 574 x^{5} + 2842 x^{4} + 28 x^{3} - 133 x^{2} - 7 x + 1$ $5^{14}\cdot 29^{26}$ $C_2\times C_{14}$ (as 28T2) $[2]$ $512915496404520.1$
28.0.860...281.1 $x^{28} - 56 x^{25} - 7 x^{24} - 14 x^{23} + 1162 x^{22} + 286 x^{21} + 539 x^{20} - 11074 x^{19} - 4074 x^{18} - 6433 x^{17} + 48363 x^{16} + 27475 x^{15} + 29189 x^{14} - 79527 x^{13} - 90503 x^{12} - 49217 x^{11} + 5593 x^{10} + 93345 x^{9} + 89726 x^{8} + 166311 x^{7} + 114709 x^{6} + 86730 x^{5} + 11690 x^{4} - 17626 x^{3} + 25221 x^{2} - 9401 x + 6241$ $3^{14}\cdot 7^{50}$ $C_2\times C_{14}$ (as 28T2) $[203]$ $156859247232.13297$
28.0.141...481.1 $x^{28} - x^{27} - x^{26} - 50 x^{25} + 45 x^{24} + 41 x^{23} + 923 x^{22} - 740 x^{21} - 566 x^{20} - 7986 x^{19} + 5482 x^{18} + 3755 x^{17} + 34135 x^{16} - 15421 x^{15} - 15266 x^{14} - 71623 x^{13} - 3964 x^{12} + 45122 x^{11} + 87041 x^{10} + 49398 x^{9} - 13057 x^{8} - 105029 x^{7} - 52559 x^{6} - 58937 x^{5} + 57132 x^{4} + 53384 x^{3} + 9659 x^{2} + 13272 x + 6241$ $3^{14}\cdot 43^{26}$ $C_2\times C_{14}$ (as 28T2) $[203]$ $158620092291.7724$
28.0.714...129.1 $x^{28} - x^{27} + 41 x^{26} - 34 x^{25} + 814 x^{24} - 569 x^{23} + 10073 x^{22} - 5894 x^{21} + 85446 x^{20} - 41430 x^{19} + 517766 x^{18} - 204124 x^{17} + 2278084 x^{16} - 713493 x^{15} + 7270037 x^{14} - 1746022 x^{13} + 16581844 x^{12} - 2930752 x^{11} + 26206720 x^{10} - 3163168 x^{9} + 27305280 x^{8} - 2133504 x^{7} + 17228288 x^{6} - 594944 x^{5} + 5748736 x^{4} - 229376 x^{3} + 745472 x^{2} + 57344 x + 16384$ $7^{14}\cdot 29^{26}$ $C_2\times C_{14}$ (as 28T2) $[2, 4, 4, 812]$ $487075979.1876791$
28.0.160...384.1 $x^{28} - 25 x^{26} + 411 x^{24} - 3816 x^{22} + 25427 x^{20} - 105124 x^{18} + 315729 x^{16} - 623516 x^{14} + 888182 x^{12} - 737996 x^{10} + 406547 x^{8} - 33970 x^{6} + 2123 x^{4} - 53 x^{2} + 1$ $2^{28}\cdot 3^{14}\cdot 29^{24}$ $C_2\times C_{14}$ (as 28T2) $[4, 4, 28]$ $266164993237.31995$
28.28.463...984.1 $x^{28} - 54 x^{26} + 1300 x^{24} - 18400 x^{22} + 170016 x^{20} - 1076768 x^{18} + 4775232 x^{16} - 14883840 x^{14} + 32248320 x^{12} - 47297536 x^{10} + 44808192 x^{8} - 25346048 x^{6} + 7454720 x^{4} - 860160 x^{2} + 16384$ $2^{42}\cdot 29^{26}$ $C_2\times C_{14}$ (as 28T2) trivial $18257396114183336$
28.0.463...984.1 $x^{28} + 54 x^{26} + 1300 x^{24} + 18400 x^{22} + 170016 x^{20} + 1076768 x^{18} + 4775232 x^{16} + 14883840 x^{14} + 32248320 x^{12} + 47297536 x^{10} + 44808192 x^{8} + 25346048 x^{6} + 7454720 x^{4} + 860160 x^{2} + 16384$ $2^{42}\cdot 29^{26}$ $C_2\times C_{14}$ (as 28T2) $[4, 172, 172]$ $487075979.1876791$
28.0.482...544.1 $x^{28} + 14 x^{24} + 406 x^{22} + 637 x^{20} + 1736 x^{18} + 25613 x^{16} + 45672 x^{14} + 146510 x^{12} + 216314 x^{10} + 175987 x^{8} + 135485 x^{6} + 138712 x^{4} + 36281 x^{2} + 6241$ $2^{28}\cdot 7^{50}$ $C_2\times C_{14}$ (as 28T2) $[71]$ $983258026102.4221$
28.0.792...344.1 $x^{28} - 3 x^{26} + 18 x^{24} + 304 x^{22} - 431 x^{20} + 627 x^{18} + 12915 x^{16} - 6007 x^{14} + 76379 x^{12} - 24573 x^{10} + 152173 x^{8} - 11756 x^{6} + 110547 x^{4} - 8906 x^{2} + 6241$ $2^{28}\cdot 43^{26}$ $C_2\times C_{14}$ (as 28T2) $[43]$ $2714544445552.786$
28.0.365...625.1 $x^{28} - 5 x^{27} + 47 x^{26} - 152 x^{25} + 1049 x^{24} - 3001 x^{23} + 14492 x^{22} - 30908 x^{21} + 115818 x^{20} - 204097 x^{19} + 649914 x^{18} - 933216 x^{17} + 2508376 x^{16} - 2978786 x^{15} + 7071411 x^{14} - 6804920 x^{13} + 13577493 x^{12} - 10099944 x^{11} + 17701828 x^{10} - 9450995 x^{9} + 11808392 x^{8} - 1974799 x^{7} + 3396106 x^{6} - 287718 x^{5} + 726277 x^{4} + 16080 x^{3} + 60245 x^{2} - 6888 x + 1681$ $3^{14}\cdot 5^{14}\cdot 29^{24}$ $C_2\times C_{14}$ (as 28T2) $[4, 4, 452]$ $34681517373.86067$
28.0.902...416.1 $x^{28} + 197 x^{24} + 9834 x^{20} + 111451 x^{16} + 395946 x^{12} + 345566 x^{8} + 1437 x^{4} + 1$ $2^{56}\cdot 29^{24}$ $C_2\times C_{14}$ (as 28T2) $[4, 4, 1204]$ $297452739458.56445$
28.0.109...625.1 $x^{28} - 112 x^{25} + 49 x^{24} + 154 x^{23} + 2618 x^{22} - 2414 x^{21} - 3381 x^{20} + 6370 x^{19} + 38654 x^{18} - 78533 x^{17} - 109165 x^{16} + 382109 x^{15} - 209631 x^{14} - 564725 x^{13} + 940065 x^{12} + 282121 x^{11} - 787227 x^{10} + 598339 x^{9} + 1045310 x^{8} - 124511 x^{7} - 202517 x^{6} + 343196 x^{5} + 333200 x^{4} + 51912 x^{3} - 47341 x^{2} - 9401 x + 6241$ $5^{14}\cdot 7^{50}$ $C_2\times C_{14}$ (as 28T2) $[127]$ $1494941023922.2002$
28.0.180...625.1 $x^{28} - x^{27} + 5 x^{26} + 98 x^{25} - 43 x^{24} + 277 x^{23} + 2085 x^{22} - 152 x^{21} + 2790 x^{20} + 2322 x^{19} + 38446 x^{18} - 13267 x^{17} + 7013 x^{16} - 52161 x^{15} + 217434 x^{14} - 199373 x^{13} - 369218 x^{12} - 846630 x^{11} + 173519 x^{10} + 680690 x^{9} + 994183 x^{8} + 128151 x^{7} - 20587 x^{6} - 51405 x^{5} + 189716 x^{4} + 67288 x^{3} + 27471 x^{2} - 13272 x + 6241$ $5^{14}\cdot 43^{26}$ $C_2\times C_{14}$ (as 28T2) $[1421]$ $263819853122.8475$
28.0.399...761.1 $x^{28} - 12 x^{27} + 81 x^{26} - 388 x^{25} + 1591 x^{24} - 5878 x^{23} + 20190 x^{22} - 63303 x^{21} + 186224 x^{20} - 511845 x^{19} + 1342595 x^{18} - 3302776 x^{17} + 7789506 x^{16} - 17272242 x^{15} + 36946487 x^{14} - 74021368 x^{13} + 143721798 x^{12} - 259144734 x^{11} + 455881295 x^{10} - 732077019 x^{9} + 1159745156 x^{8} - 1624224783 x^{7} + 2293844933 x^{6} - 2689454001 x^{5} + 3335457433 x^{4} - 2996413671 x^{3} + 3196869115 x^{2} - 1711780865 x + 1532409301$ $11^{14}\cdot 29^{26}$ $C_2\times C_{14}$ (as 28T2) $[16, 16, 3440]$ $487075979.1876791$
28.28.135...944.1 $x^{28} - 2 x^{27} - 67 x^{26} + 128 x^{25} + 1915 x^{24} - 3470 x^{23} - 30502 x^{22} + 51962 x^{21} + 296883 x^{20} - 470232 x^{19} - 1822856 x^{18} + 2646496 x^{17} + 7045255 x^{16} - 9204326 x^{15} - 16632140 x^{14} + 19086334 x^{13} + 22549873 x^{12} - 22027400 x^{11} - 15790909 x^{10} + 12642698 x^{9} + 4786431 x^{8} - 3052488 x^{7} - 481394 x^{6} + 260140 x^{5} + 15255 x^{4} - 7818 x^{3} - 67 x^{2} + 56 x + 1$ $2^{28}\cdot 3^{14}\cdot 29^{26}$ $C_2\times C_{14}$ (as 28T2) trivial $442900936905773100$
28.0.135...944.1 $x^{28} - 29 x^{26} + 551 x^{24} - 5916 x^{22} + 45675 x^{20} - 232000 x^{18} + 854369 x^{16} - 1923396 x^{14} + 3056194 x^{12} - 2610464 x^{10} + 1563419 x^{8} - 459186 x^{6} + 96715 x^{4} - 10933 x^{2} + 841$ $2^{28}\cdot 3^{14}\cdot 29^{26}$ $C_2\times C_{14}$ (as 28T2) $[2, 4, 4, 12]$ $4155697700585.085$
28.0.135...944.2 $x^{28} - 31 x^{26} + 354 x^{24} - 1731 x^{22} + 2216 x^{20} + 8564 x^{18} - 4122 x^{16} - 121607 x^{14} + 165323 x^{12} - 180077 x^{10} + 1311812 x^{8} - 3636433 x^{6} + 15557681 x^{4} + 4370782 x^{2} + 2825761$ $2^{28}\cdot 3^{14}\cdot 29^{26}$ $C_2\times C_{14}$ (as 28T2) $[2, 4, 4, 84]$ $4155697700585.085$
28.0.135...944.3 $x^{28} - 23 x^{26} + 170 x^{24} - 243 x^{22} - 2160 x^{20} + 8804 x^{18} - 13066 x^{16} - 10755 x^{14} + 322699 x^{12} - 596165 x^{10} + 516968 x^{8} + 3918063 x^{6} - 1962803 x^{4} - 4216942 x^{2} + 3728761$ $2^{28}\cdot 3^{14}\cdot 29^{26}$ $C_2\times C_{14}$ (as 28T2) $[2, 4, 12, 12]$ $532329986474.6399$
28.0.205...000.1 $x^{28} + 69 x^{26} + 1974 x^{24} + 30865 x^{22} + 294090 x^{20} + 1804843 x^{18} + 7322517 x^{16} + 19717109 x^{14} + 34627149 x^{12} + 38013350 x^{10} + 24218096 x^{8} + 8079074 x^{6} + 1320817 x^{4} + 92266 x^{2} + 1681$ $2^{28}\cdot 5^{14}\cdot 29^{24}$ $C_2\times C_{14}$ (as 28T2) $[4, 28, 812]$ $34681517373.86067$
28.0.406...761.1 $x^{28} - 5 x^{27} + 26 x^{26} - 77 x^{25} + 206 x^{24} - 307 x^{23} + 1715 x^{22} - 5213 x^{21} + 20952 x^{20} - 59815 x^{19} + 74988 x^{18} + 73977 x^{17} - 344330 x^{16} + 1277344 x^{15} - 1650291 x^{14} - 1442414 x^{13} + 1443969 x^{12} + 177615 x^{11} + 4348963 x^{10} - 26399240 x^{9} + 40409501 x^{8} + 42898388 x^{7} - 81474689 x^{6} - 10418664 x^{5} + 26652928 x^{4} + 172023768 x^{3} - 282222973 x^{2} - 302462451 x + 495997441$ $3^{14}\cdot 7^{14}\cdot 29^{24}$ $C_2\times C_{14}$ (as 28T2) $[4, 4, 28]$ $5378062490297.565$
28.28.414...369.1 $x^{28} - 12 x^{27} - 3 x^{26} + 548 x^{25} - 1373 x^{24} - 9718 x^{23} + 40314 x^{22} + 77013 x^{21} - 531130 x^{20} - 118317 x^{19} + 3851933 x^{18} - 2566528 x^{17} - 15762270 x^{16} + 20897646 x^{15} + 32941703 x^{14} - 71317048 x^{13} - 18213246 x^{12} + 117667962 x^{11} - 47279125 x^{10} - 79028331 x^{9} + 74956958 x^{8} + 1350369 x^{7} - 28078033 x^{6} + 12053439 x^{5} + 51715 x^{4} - 1286775 x^{3} + 334177 x^{2} - 26357 x - 233$ $13^{14}\cdot 29^{26}$ $C_2\times C_{14}$ (as 28T2) trivial $694701292841794300$
28.0.200...601.1 $x^{28} - 12 x^{27} + 97 x^{26} - 616 x^{25} + 3227 x^{24} - 14252 x^{23} + 54685 x^{22} - 183020 x^{21} + 539214 x^{20} - 1401648 x^{19} + 3232728 x^{18} - 6601344 x^{17} + 11989926 x^{16} - 19294392 x^{15} + 28024356 x^{14} - 36414037 x^{13} + 44459150 x^{12} - 50087517 x^{11} + 54111340 x^{10} - 47799819 x^{9} + 31974029 x^{8} - 11720297 x^{7} + 14313843 x^{6} - 10672203 x^{5} + 8855016 x^{4} + 6890309 x^{3} + 6869672 x^{2} + 1932120 x + 490421$ $7^{14}\cdot 43^{26}$ $C_2\times C_{14}$ (as 28T2) $[2, 2, 2, 4, 4, 28]$ $935057598520.6207$
28.0.205...064.1 $x^{28} - 37 x^{26} + 899 x^{24} - 11816 x^{22} + 109211 x^{20} - 689424 x^{18} + 3252533 x^{16} - 11374748 x^{14} + 30588386 x^{12} - 61574116 x^{10} + 93616839 x^{8} - 99291934 x^{6} + 71950767 x^{4} - 24588641 x^{2} + 5764801$ $2^{28}\cdot 3^{14}\cdot 43^{24}$ $C_2\times C_{14}$ (as 28T2) $[8729]$ $3767000207683.561$
28.0.263...456.1 $x^{28} - 2 x^{27} + 41 x^{26} - 50 x^{25} + 1043 x^{24} - 1134 x^{23} + 14548 x^{22} - 12210 x^{21} + 139789 x^{20} - 97228 x^{19} + 872712 x^{18} - 341770 x^{17} + 3760649 x^{16} - 842760 x^{15} + 11555688 x^{14} - 371480 x^{13} + 25100954 x^{12} + 1057018 x^{11} + 37654712 x^{10} + 6404386 x^{9} + 37771153 x^{8} + 8191560 x^{7} + 21872382 x^{6} + 9907754 x^{5} + 5020235 x^{4} + 898658 x^{3} + 155537 x^{2} - 5746 x + 289$ $2^{42}\cdot 3^{14}\cdot 29^{24}$ $C_2\times C_{14}$ (as 28T2) not computed
28.0.263...456.2 $x^{28} - 4 x^{27} - 56 x^{26} + 220 x^{25} + 1315 x^{24} - 5092 x^{23} - 16614 x^{22} + 64264 x^{21} + 127316 x^{20} - 489536 x^{19} - 639052 x^{18} + 2365228 x^{17} + 2269775 x^{16} - 7607912 x^{15} - 5496216 x^{14} + 16118448 x^{13} + 8847842 x^{12} - 22214196 x^{11} - 8566886 x^{10} + 16836040 x^{9} + 8299336 x^{8} - 1040484 x^{7} - 3574880 x^{6} - 4114816 x^{5} + 7481301 x^{4} - 2328948 x^{3} + 12345988 x^{2} + 848352 x + 6379363$ $2^{42}\cdot 3^{14}\cdot 29^{24}$ $C_2\times C_{14}$ (as 28T2) $[4, 4, 172]$ $2588946506907.025$
28.0.307...625.1 $x^{28} - x^{27} + 43 x^{26} - 40 x^{25} + 1159 x^{24} - 1036 x^{23} + 19003 x^{22} - 15433 x^{21} + 224851 x^{20} - 181133 x^{19} + 1880966 x^{18} - 1581476 x^{17} + 11890509 x^{16} - 10760627 x^{15} + 54491661 x^{14} - 53967794 x^{13} + 188495906 x^{12} - 193045342 x^{11} + 445333440 x^{10} - 455634883 x^{9} + 740257288 x^{8} - 583060481 x^{7} + 548816761 x^{6} - 204723830 x^{5} + 118266095 x^{4} - 8234460 x^{3} + 19656335 x^{2} - 1267554 x + 83521$ $3^{14}\cdot 5^{14}\cdot 29^{26}$ $C_2\times C_{14}$ (as 28T2) $[8, 8, 8, 232]$ $73869644668.60387$
28.0.307...625.2 $x^{28} - 12 x^{27} + 83 x^{26} - 402 x^{25} + 1497 x^{24} - 4430 x^{23} + 9892 x^{22} - 13325 x^{21} - 5277 x^{20} + 101227 x^{19} - 392562 x^{18} + 1057712 x^{17} - 1930463 x^{16} + 1447308 x^{15} + 4869943 x^{14} - 23680302 x^{13} + 62730879 x^{12} - 112637118 x^{11} + 146344703 x^{10} - 53198618 x^{9} - 156584897 x^{8} + 323241525 x^{7} - 229415564 x^{6} - 164626476 x^{5} + 561348952 x^{4} - 564100843 x^{3} + 277913062 x^{2} - 62913107 x + 37919821$ $3^{14}\cdot 5^{14}\cdot 29^{26}$ $C_2\times C_{14}$ (as 28T2) $[2, 2, 8, 8, 696]$ $34681517373.86067$
28.0.307...625.3 $x^{28} - x^{27} + 37 x^{26} - 22 x^{25} + 682 x^{24} - 337 x^{23} + 8185 x^{22} - 3706 x^{21} + 73123 x^{20} - 39323 x^{19} + 517055 x^{18} - 293864 x^{17} + 2881062 x^{16} - 1269653 x^{15} + 13304046 x^{14} - 1380551 x^{13} + 43894811 x^{12} + 1747694 x^{11} + 99880149 x^{10} + 8840615 x^{9} + 234860782 x^{8} + 131564944 x^{7} + 215771335 x^{6} + 538783144 x^{5} + 281593991 x^{4} + 346864593 x^{3} + 585050360 x^{2} + 1702686 x + 297525211$ $3^{14}\cdot 5^{14}\cdot 29^{26}$ $C_2\times C_{14}$ (as 28T2) $[4, 4, 4, 2712]$ $73869644668.60387$
28.0.307...625.4 $x^{28} - 12 x^{27} + 95 x^{26} - 544 x^{25} + 2722 x^{24} - 11790 x^{23} + 47230 x^{22} - 170465 x^{21} + 580519 x^{20} - 1817287 x^{19} + 5433646 x^{18} - 15049677 x^{17} + 40114635 x^{16} - 99220982 x^{15} + 237665411 x^{14} - 526242344 x^{13} + 1135619833 x^{12} - 2242768340 x^{11} + 4353420535 x^{10} - 7586336825 x^{9} + 13171343590 x^{8} - 19820814665 x^{7} + 30470050180 x^{6} - 37975578530 x^{5} + 50884013935 x^{4} - 48025395089 x^{3} + 54808752058 x^{2} - 30471626250 x + 28667253361$ $3^{14}\cdot 5^{14}\cdot 29^{26}$ $C_2\times C_{14}$ (as 28T2) $[2, 2, 8, 8, 26216]$ $487075979.1876791$
28.0.649...049.1 $x^{28} - x^{27} - 2 x^{26} + 19 x^{25} - 46 x^{24} + 211 x^{23} - 355 x^{22} - 1919 x^{21} + 4340 x^{20} - 11423 x^{19} + 37745 x^{18} + 30381 x^{17} + 11173 x^{16} - 143962 x^{15} + 524367 x^{14} + 1703017 x^{13} + 6677470 x^{12} + 12083171 x^{11} + 13404975 x^{10} + 8355430 x^{9} - 1920396 x^{8} - 31689615 x^{7} - 18305575 x^{6} - 5343000 x^{5} + 13080000 x^{4} + 6143750 x^{3} + 531250 x^{2} + 1093750 x + 390625$ $3^{14}\cdot 71^{26}$ $C_2\times C_{14}$ (as 28T2) $[2107]$ $9808422387534.145$
28.0.758...856.1 $x^{28} + 261 x^{24} + 16298 x^{20} + 333123 x^{16} + 1428018 x^{12} + 819134 x^{8} + 51301 x^{4} + 841$ $2^{56}\cdot 29^{26}$ $C_2\times C_{14}$ (as 28T2) $[2, 4, 4, 1204]$ $306576699955.91235$
28.0.758...856.2 $x^{28} + 4 x^{26} - 63 x^{24} - 188 x^{22} + 1294 x^{20} + 4584 x^{18} - 401 x^{16} - 92448 x^{14} + 55130 x^{12} + 1054280 x^{10} + 684982 x^{8} + 8370860 x^{6} + 17488517 x^{4} - 20759960 x^{2} + 11042329$ $2^{56}\cdot 29^{26}$ $C_2\times C_{14}$ (as 28T2) $[2, 4, 4, 516]$ $297452739458.56445$
28.0.758...856.3 $x^{28} - 4 x^{26} - 63 x^{24} + 188 x^{22} + 1294 x^{20} - 4584 x^{18} - 401 x^{16} + 92448 x^{14} + 55130 x^{12} - 1054280 x^{10} + 684982 x^{8} - 8370860 x^{6} + 17488517 x^{4} + 20759960 x^{2} + 11042329$ $2^{56}\cdot 29^{26}$ $C_2\times C_{14}$ (as 28T2) $[2, 4, 4, 516]$ $306576699955.91235$
28.0.790...896.1 $x^{28} - 28 x^{26} - 56 x^{25} + 378 x^{24} + 924 x^{23} - 1862 x^{22} - 5444 x^{21} + 2345 x^{20} - 13468 x^{19} + 19348 x^{18} + 281638 x^{17} - 154847 x^{16} - 1262142 x^{15} + 1760256 x^{14} - 141078 x^{13} - 8273370 x^{12} + 16406964 x^{11} + 11480798 x^{10} - 36011178 x^{9} + 5028527 x^{8} + 24278114 x^{7} - 11198019 x^{6} - 38195010 x^{5} + 62510966 x^{4} - 13710102 x^{3} - 17816547 x^{2} + 999110 x + 4391639$ $2^{42}\cdot 7^{50}$ $C_2\times C_{14}$ (as 28T2) $[1234]$ $6078393112068.115$
28.0.790...896.2 $x^{28} + 28 x^{26} - 56 x^{25} + 378 x^{24} - 868 x^{23} + 4186 x^{22} - 5556 x^{21} + 26257 x^{20} - 19068 x^{19} + 110236 x^{18} + 22134 x^{17} + 394401 x^{16} + 513058 x^{15} + 2075488 x^{14} + 2977282 x^{13} + 8125894 x^{12} + 13724228 x^{11} + 26391246 x^{10} + 42138278 x^{9} + 55894391 x^{8} + 77662530 x^{7} + 111233549 x^{6} + 123489366 x^{5} + 114888018 x^{4} + 69822746 x^{3} + 45073133 x^{2} + 55406190 x + 35681291$ $2^{42}\cdot 7^{50}$ $C_2\times C_{14}$ (as 28T2) $[953]$ $5768582549095.03$
28.0.129...096.1 $x^{28} - 2 x^{27} + 33 x^{26} - 8 x^{25} + 400 x^{24} + 232 x^{23} + 3692 x^{22} - 84 x^{21} + 27349 x^{20} - 20814 x^{19} + 139895 x^{18} - 200258 x^{17} + 638481 x^{16} - 1214276 x^{15} + 3203837 x^{14} - 6552716 x^{13} + 15305413 x^{12} - 26733774 x^{11} + 44836479 x^{10} - 67452498 x^{9} + 82171671 x^{8} - 89019544 x^{7} + 107446012 x^{6} - 114631858 x^{5} + 99986627 x^{4} - 88401976 x^{3} + 75048342 x^{2} - 40938072 x + 9978409$ $2^{42}\cdot 43^{26}$ $C_2\times C_{14}$ (as 28T2) $[203]$ $40040306449331.87$
28.0.129...096.2 $x^{28} - 2 x^{27} - 23 x^{26} + 96 x^{25} + 172 x^{24} - 1112 x^{23} + 140 x^{22} + 4108 x^{21} - 1323 x^{20} + 11954 x^{19} - 31809 x^{18} - 147466 x^{17} + 208293 x^{16} + 688988 x^{15} + 539117 x^{14} - 2252476 x^{13} - 6512215 x^{12} + 4195314 x^{11} + 22992711 x^{10} + 13208998 x^{9} - 22322709 x^{8} - 35926296 x^{7} + 14087468 x^{6} + 33378830 x^{5} + 6900339 x^{4} - 15784328 x^{3} - 2705282 x^{2} + 20949672 x + 11474513$ $2^{42}\cdot 43^{26}$ $C_2\times C_{14}$ (as 28T2) $[985]$ $9818745262125.305$
28.28.177...809.1 $x^{28} - 12 x^{27} - 17 x^{26} + 704 x^{25} - 1230 x^{24} - 16910 x^{23} + 53678 x^{22} + 208815 x^{21} - 952529 x^{20} - 1292583 x^{19} + 9401590 x^{18} + 1835875 x^{17} - 55400397 x^{16} + 27000714 x^{15} + 193853027 x^{14} - 190074984 x^{13} - 373374103 x^{12} + 552455692 x^{11} + 303130711 x^{10} - 780400889 x^{9} + 66439726 x^{8} + 483771191 x^{7} - 213323444 x^{6} - 85110098 x^{5} + 72075535 x^{4} - 7307537 x^{3} - 3799902 x^{2} + 793446 x - 20591$ $17^{14}\cdot 29^{26}$ $C_2\times C_{14}$ (as 28T2) trivial $5165284741490759000$
28.0.227...064.1 $x^{28} + 27 x^{26} + 411 x^{24} + 2977 x^{22} + 14430 x^{20} + 6532 x^{18} + 178104 x^{16} - 578821 x^{14} + 8840544 x^{12} - 43934230 x^{10} + 167974631 x^{8} - 400934959 x^{6} + 707029168 x^{4} - 748889507 x^{2} + 495997441$ $2^{28}\cdot 7^{14}\cdot 29^{24}$ $C_2\times C_{14}$ (as 28T2) $[4, 28, 28]$ $4951230435467.248$
28.0.466...625.1 $x^{28} - 5 x^{27} + 59 x^{26} - 100 x^{25} + 1361 x^{24} - 1097 x^{23} + 21852 x^{22} + 1090 x^{21} + 228116 x^{20} + 113321 x^{19} + 1783360 x^{18} + 1397646 x^{17} + 9302966 x^{16} + 7143500 x^{15} + 33359623 x^{14} + 23886766 x^{13} + 71237549 x^{12} + 23786690 x^{11} + 70217616 x^{10} + 13166733 x^{9} + 48825618 x^{8} - 2116445 x^{7} + 4110870 x^{6} - 526838 x^{5} + 330317 x^{4} - 34194 x^{3} + 3315 x^{2} - 62 x + 1$ $3^{14}\cdot 5^{14}\cdot 43^{24}$ $C_2\times C_{14}$ (as 28T2) $[179249]$ $263819853122.8475$
28.0.471...064.1 $x^{28} - 42 x^{26} + 1141 x^{24} - 17304 x^{22} + 185514 x^{20} - 1405327 x^{18} + 8063678 x^{16} - 34632564 x^{14} + 114161607 x^{12} - 277641777 x^{10} + 500991365 x^{8} - 607640670 x^{6} + 528315102 x^{4} - 270828656 x^{2} + 88529281$ $2^{28}\cdot 3^{14}\cdot 7^{48}$ $C_2\times C_{14}$ (as 28T2) $[14413]$ $5301892196902.783$
28.0.841...241.1 $x^{28} - 12 x^{27} + 109 x^{26} - 700 x^{25} + 4035 x^{24} - 19574 x^{23} + 88778 x^{22} - 356475 x^{21} + 1362190 x^{20} - 4712493 x^{19} + 15680341 x^{18} - 47682224 x^{17} + 140523186 x^{16} - 379222674 x^{15} + 998556167 x^{14} - 2397439896 x^{13} + 5658735650 x^{12} - 12041626214 x^{11} + 25449411835 x^{10} - 47468325131 x^{9} + 89362532230 x^{8} - 142895968159 x^{7} + 237288842983 x^{6} - 311702665937 x^{5} + 449511995851 x^{4} - 443009324759 x^{3} + 541930532937 x^{2} - 311321664597 x + 311907554911$ $19^{14}\cdot 29^{26}$ $C_2\times C_{14}$ (as 28T2) not computed
28.0.115...736.1 $x^{28} + 429 x^{24} + 31802 x^{20} + 705923 x^{16} + 6451930 x^{12} + 25926230 x^{8} + 39023453 x^{4} + 5764801$ $2^{56}\cdot 43^{24}$ $C_2\times C_{14}$ (as 28T2) $[8729]$ $9818745262125.305$
28.0.172...000.1 $x^{28} + 85 x^{26} + 3138 x^{24} + 66361 x^{22} + 892864 x^{20} + 8023932 x^{18} + 49145542 x^{16} + 205287249 x^{14} + 575107259 x^{12} + 1042796687 x^{10} + 1154960464 x^{8} + 716818571 x^{6} + 212892821 x^{4} + 20075674 x^{2} + 83521$ $2^{28}\cdot 5^{14}\cdot 29^{26}$ $C_2\times C_{14}$ (as 28T2) $[2, 4, 4, 4, 25928]$ $73869644668.60387$
28.0.172...000.2 $x^{28} + 77 x^{26} + 2586 x^{24} + 49961 x^{22} + 617080 x^{20} + 5126412 x^{18} + 29379286 x^{16} + 117391053 x^{14} + 327131195 x^{12} + 629891623 x^{10} + 820109500 x^{8} + 692717515 x^{6} + 350752457 x^{4} + 89938214 x^{2} + 7123561$ $2^{28}\cdot 5^{14}\cdot 29^{26}$ $C_2\times C_{14}$ (as 28T2) $[2, 4, 4, 4, 2436]$ $73869644668.60387$
28.0.172...000.3 $x^{28} - 14 x^{27} + 135 x^{26} - 936 x^{25} + 5336 x^{24} - 25422 x^{23} + 104543 x^{22} - 374022 x^{21} + 1179882 x^{20} - 3301012 x^{19} + 8217087 x^{18} - 18188118 x^{17} + 35780211 x^{16} - 62540558 x^{15} + 96760101 x^{14} - 131361794 x^{13} + 157184593 x^{12} - 171136062 x^{11} + 167465338 x^{10} - 127633640 x^{9} + 92192786 x^{8} - 142945196 x^{7} + 133893346 x^{6} + 62481562 x^{5} - 20350779 x^{4} - 221014676 x^{3} + 12443600 x^{2} + 131163708 x + 87247081$ $2^{28}\cdot 5^{14}\cdot 29^{26}$ $C_2\times C_{14}$ (as 28T2) $[2, 4, 4, 4, 5556]$ $34681517373.86067$
28.0.172...000.4 $x^{28} - 2 x^{27} + 45 x^{26} - 80 x^{25} + 1187 x^{24} - 1934 x^{23} + 22138 x^{22} - 33046 x^{21} + 318531 x^{20} - 435512 x^{19} + 3676840 x^{18} - 4581920 x^{17} + 34769671 x^{16} - 39193702 x^{15} + 271774836 x^{14} - 273990802 x^{13} + 1756548849 x^{12} - 1558280808 x^{11} + 9314576819 x^{10} - 7101150838 x^{9} + 39824889399 x^{8} - 25169366408 x^{7} + 133052209774 x^{6} - 65705100948 x^{5} + 328509907687 x^{4} - 113376601034 x^{3} + 537399587373 x^{2} - 97937579416 x + 440719107401$ $2^{28}\cdot 5^{14}\cdot 29^{26}$ $C_2\times C_{14}$ (as 28T2) not computed
28.0.227...249.1 $x^{28} - 5 x^{27} + 19 x^{26} - 52 x^{25} + 37 x^{24} + 291 x^{23} + 772 x^{22} - 5204 x^{21} + 20866 x^{20} - 77733 x^{19} + 49006 x^{18} + 350432 x^{17} - 606436 x^{16} + 1635850 x^{15} - 2715569 x^{14} - 6050900 x^{13} + 8898705 x^{12} + 25878608 x^{11} - 27922208 x^{10} - 226684219 x^{9} + 391036360 x^{8} + 663677457 x^{7} - 1302809622 x^{6} - 1338303622 x^{5} + 2642888941 x^{4} + 4993294824 x^{3} - 9487528803 x^{2} - 8862898688 x + 16939803409$ $3^{14}\cdot 11^{14}\cdot 29^{24}$ $C_2\times C_{14}$ (as 28T2) $[4, 4, 172]$ $26171553169497.523$
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