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Results (9 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
16.0.149...296.1 $x^{16} - 12 x^{14} + 72 x^{12} - 288 x^{10} + 927 x^{8} - 2592 x^{6} + 5832 x^{4} - 8748 x^{2} + 6561$ $2^{48}\cdot 3^{12}$ $Q_8\times C_2$ (as 16T7) trivial $22843.7922823$
16.0.179...625.1 $x^{16} - 2 x^{15} - 2 x^{14} + 7 x^{13} + 78 x^{12} + 58 x^{11} + 1189 x^{10} + 5376 x^{9} + 12238 x^{8} + 47763 x^{7} + 203726 x^{6} + 650220 x^{5} + 1486133 x^{4} + 2191586 x^{3} + 1857092 x^{2} + 783912 x + 126736$ $3^{12}\cdot 5^{12}\cdot 7^{12}$ $Q_8\times C_2$ (as 16T7) $[2, 2, 2]$ $103783.231276$
16.0.584...000.1 $x^{16} + 28 x^{14} - 24 x^{13} + 298 x^{12} - 312 x^{11} + 1600 x^{10} - 2040 x^{9} + 4399 x^{8} - 4800 x^{7} + 4912 x^{6} - 4584 x^{5} - 5714 x^{4} + 19320 x^{3} - 8468 x^{2} - 8424 x + 6814$ $2^{48}\cdot 3^{12}\cdot 5^{8}$ $Q_8\times C_2$ (as 16T7) $[2, 8]$ $313644.780941$
16.16.584...000.1 $x^{16} - 8 x^{15} - 4 x^{14} + 168 x^{13} - 250 x^{12} - 1048 x^{11} + 2476 x^{10} + 2184 x^{9} - 8435 x^{8} + 528 x^{7} + 11344 x^{6} - 6152 x^{5} - 4252 x^{4} + 4680 x^{3} - 1336 x^{2} + 104 x + 1$ $2^{48}\cdot 3^{12}\cdot 5^{8}$ $Q_8\times C_2$ (as 16T7) trivial $58665083.8134$
16.0.584...000.2 $x^{16} + 36 x^{14} + 396 x^{12} + 1944 x^{10} + 4743 x^{8} + 5832 x^{6} + 3564 x^{4} + 972 x^{2} + 81$ $2^{48}\cdot 3^{12}\cdot 5^{8}$ $Q_8\times C_2$ (as 16T7) $[2, 6, 6]$ $15197.4244561$
16.0.584...000.3 $x^{16} - 20 x^{14} - 24 x^{13} + 178 x^{12} + 408 x^{11} - 200 x^{10} - 1320 x^{9} - 113 x^{8} + 3840 x^{7} + 11128 x^{6} + 20184 x^{5} + 32086 x^{4} + 39336 x^{3} + 53260 x^{2} + 32616 x + 27646$ $2^{48}\cdot 3^{12}\cdot 5^{8}$ $Q_8\times C_2$ (as 16T7) $[6, 24]$ $45687.5845647$
16.0.584...000.4 $x^{16} - 60 x^{14} + 1800 x^{12} - 36000 x^{10} + 579375 x^{8} - 8100000 x^{6} + 91125000 x^{4} - 683437500 x^{2} + 2562890625$ $2^{48}\cdot 3^{12}\cdot 5^{8}$ $Q_8\times C_2$ (as 16T7) $[2, 6, 6]$ $313644.780941$
16.0.862...096.1 $x^{16} + 4 x^{14} - 24 x^{13} + 70 x^{12} - 168 x^{11} + 340 x^{10} + 624 x^{9} + 973 x^{8} - 9984 x^{7} + 12208 x^{6} - 22224 x^{5} + 60292 x^{4} - 12288 x^{3} + 76792 x^{2} + 44064 x + 51937$ $2^{48}\cdot 3^{12}\cdot 7^{8}$ $Q_8\times C_2$ (as 16T7) $[2, 10, 10]$ $32719.5368105$
16.16.862...096.1 $x^{16} - 44 x^{14} - 24 x^{13} + 670 x^{12} + 552 x^{11} - 4484 x^{10} - 4272 x^{9} + 13957 x^{8} + 14208 x^{7} - 19736 x^{6} - 20784 x^{5} + 11692 x^{4} + 13344 x^{3} - 1664 x^{2} - 3024 x - 383$ $2^{48}\cdot 3^{12}\cdot 7^{8}$ $Q_8\times C_2$ (as 16T7) trivial $155691205.876$
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