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Results (8 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
20.4.175...000.1 $x^{20} - 13 x^{18} + 63 x^{16} - 166 x^{14} + 305 x^{12} - 351 x^{10} + 293 x^{8} - 158 x^{6} + 71 x^{4} - 25 x^{2} + 5$ $2^{28}\cdot 5^{15}\cdot 11^{8}$ $C_{10}:F_5$ (as 20T49) trivial $1431459.05224$
20.4.253...000.1 $x^{20} - 3 x^{19} - 11 x^{18} + 33 x^{17} + 66 x^{16} - 183 x^{15} - 277 x^{14} + 579 x^{13} + 874 x^{12} - 865 x^{11} - 1801 x^{10} - 11 x^{9} + 1956 x^{8} + 2795 x^{7} + 2635 x^{6} + 1273 x^{5} + 44 x^{4} - 155 x^{3} - 25 x^{2} + 5 x + 1$ $2^{16}\cdot 3^{10}\cdot 5^{15}\cdot 11^{8}$ $C_{10}:F_5$ (as 20T49) trivial $2156441.45048$
20.0.781...000.1 $x^{20} - 15 x^{18} + 105 x^{16} - 4 x^{15} - 400 x^{14} + 20 x^{13} + 1025 x^{12} + 60 x^{11} - 1754 x^{10} - 200 x^{9} + 2080 x^{8} + 200 x^{7} - 1210 x^{6} + 516 x^{5} + 225 x^{4} - 710 x^{3} + 400 x^{2} - 80 x + 16$ $2^{24}\cdot 5^{31}$ $C_{10}:F_5$ (as 20T49) trivial $14787405.0482$
20.0.781...000.2 $x^{20} - 10 x^{18} + 80 x^{16} - 20 x^{15} - 350 x^{14} + 150 x^{13} + 1025 x^{12} - 500 x^{11} - 1860 x^{10} + 750 x^{9} + 1925 x^{8} - 750 x^{7} - 1275 x^{6} + 850 x^{5} + 1625 x^{4} + 1000 x^{3} + 1000 x^{2} + 1000 x + 400$ $2^{24}\cdot 5^{31}$ $C_{10}:F_5$ (as 20T49) trivial $11302864.7053$
20.0.179...000.1 $x^{20} + 8 x^{18} + 44 x^{16} + 192 x^{14} + 696 x^{12} + 2050 x^{10} + 4560 x^{8} + 7400 x^{6} + 7700 x^{4} + 4000 x^{2} + 500$ $2^{38}\cdot 5^{15}\cdot 11^{8}$ $C_{10}:F_5$ (as 20T49) $[2]$ $5024343.372652114$
20.0.518...125.1 $x^{20} + 90 x^{18} + 2955 x^{16} + 42350 x^{14} + 252865 x^{12} + 666510 x^{10} + 804650 x^{8} + 495425 x^{6} + 162450 x^{4} + 27075 x^{2} + 1805$ $3^{8}\cdot 5^{31}\cdot 19^{8}$ $C_{10}:F_5$ (as 20T49) $[109]$ $307931905.969$
20.0.378...125.1 $x^{20} - 5 x^{19} + 37 x^{18} - 107 x^{17} + 467 x^{16} - 1170 x^{15} + 4619 x^{14} - 7039 x^{13} + 36318 x^{12} - 62610 x^{11} + 238424 x^{10} - 298521 x^{9} + 1250475 x^{8} - 464666 x^{7} + 3262784 x^{6} + 2705304 x^{5} + 4160432 x^{4} + 4720352 x^{3} + 6042880 x^{2} + 1184384 x + 92416$ $3^{16}\cdot 5^{15}\cdot 7^{8}\cdot 29^{8}$ $C_{10}:F_5$ (as 20T49) $[95]$ $631632012.968$
20.20.340...125.1 $x^{20} - 6 x^{19} - 53 x^{18} + 348 x^{17} + 1098 x^{16} - 8142 x^{15} - 11667 x^{14} + 100758 x^{13} + 71988 x^{12} - 730512 x^{11} - 273903 x^{10} + 3212694 x^{9} + 616446 x^{8} - 8513820 x^{7} - 526425 x^{6} + 13024230 x^{5} - 747660 x^{4} - 10277550 x^{3} + 1728925 x^{2} + 3018000 x - 707225$ $3^{18}\cdot 5^{15}\cdot 7^{8}\cdot 29^{8}$ $C_{10}:F_5$ (as 20T49) trivial $8111181538130$
20.0.167...125.1 $x^{20} - x^{19} + 14 x^{18} + 18 x^{17} + 276 x^{16} + 549 x^{15} + 3660 x^{14} + 11661 x^{13} + 46692 x^{12} + 154466 x^{11} + 619795 x^{10} + 1778500 x^{9} + 4629726 x^{8} + 11244435 x^{7} + 22807710 x^{6} + 38372595 x^{5} + 58254132 x^{4} + 62926140 x^{3} + 60818846 x^{2} + 32304409 x + 19702831$ $3^{18}\cdot 5^{15}\cdot 7^{10}\cdot 29^{8}$ $C_{10}:F_5$ (as 20T49) $[2, 410]$ $631632012.9676874$
20.20.461...000.1 $x^{20} - 75 x^{18} + 2250 x^{16} - 120 x^{15} - 34875 x^{14} + 6600 x^{13} + 300375 x^{12} - 127800 x^{11} - 1431615 x^{10} + 1080000 x^{9} + 3435750 x^{8} - 3948750 x^{7} - 2860875 x^{6} + 5261850 x^{5} - 421875 x^{4} - 2079000 x^{3} + 877500 x^{2} - 54000 x - 3600$ $2^{16}\cdot 3^{18}\cdot 5^{39}$ $C_{10}:F_5$ (as 20T49) trivial $128509830940000$
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