Results (displaying all 46 matches)

Label Polynomial Discriminant Galois group Class group
14.0.15896284050080291.1 x14 - 7x13 + 16x12 - 5x11 - 33x10 + 44x9 + 6x8 - 57x7 + 39x6 + 22x5 - 36x4 + 5x3 + 11x2 - 6x + 1 $$-\,11^{7}\cdot 13^{8}$$ $F_7$ (as 14T4) Trivial
14.0.19446011944726528.1 x14 - 7x13 + 21x12 - 35x11 + 35x10 - 21x9 + 7x8 + x7 - 14x6 + 28x5 - 14x4 - 14x3 + 14x2 + 2 $$-\,2^{12}\cdot 7^{15}$$ $F_7$ (as 14T4) Trivial
14.0.50194867949420544.1 x14 - 4x13 + 11x12 - 14x11 + 5x10 + 20x9 - 37x8 + 10x7 + 70x6 - 154x5 + 184x4 - 146x3 + 79x2 - 28x + 5 $$-\,2^{14}\cdot 3^{12}\cdot 7^{8}$$ $F_7$ (as 14T4) Trivial
14.0.72680419155717387.1 x14 - 14x11 - 14x10 - 28x9 + 35x8 + 83x7 + 245x6 + 294x5 + 399x4 + 301x3 + 259x2 + 105x + 57 $$-\,3^{7}\cdot 7^{16}$$ $F_7$ (as 14T4) Trivial
14.0.85117432631759703.1 x14 - 3x13 + 10x12 - 21x11 + 39x10 - 60x9 + 84x8 - 93x7 + 84x6 - 60x5 + 39x4 - 21x3 + 10x2 - 3x + 1 $$-\,3^{16}\cdot 7^{11}$$ $F_7$ (as 14T4) Trivial
14.0.145206582282252288.1 x14 - 5x13 + 11x12 - 11x11 + x10 + 5x9 + 13x8 - 41x7 + 38x6 - 6x5 - 24x3 + 32x2 - 16x + 4 $$-\,2^{12}\cdot 3^{16}\cdot 7^{7}$$ $F_7$ (as 14T4) Trivial
14.0.283755240966796875.1 x14 - 2x13 - 2x12 - 2x11 + 16x10 + 4x9 - 33x8 + 12x7 + 12x6 + 34x5 - 14x4 - 122x3 + 73x2 + 28x + 16 $$-\,3^{19}\cdot 5^{12}$$ $F_7$ (as 14T4) Trivial
14.0.370903242964296875.1 x14 - 7x13 + 28x12 - 70x11 + 119x10 - 140x9 + 105x8 - 53x7 + 14x6 - 7x5 + 42x4 - 42x3 + 35x2 - 14x + 4 $$-\,5^{7}\cdot 7^{15}$$ $F_7$ (as 14T4) $[2]$
14.0.371923669440000000.1 x14 - 3x12 - 3x10 + 13x8 + 51x6 + 111x4 + 91x2 + 15 $$-\,2^{12}\cdot 3^{19}\cdot 5^{7}$$ $F_7$ (as 14T4) $[2]$
14.0.544488334452342784.1 x14 - 14x11 + 14x10 + 98x8 - 196x7 + 98x6 + 14x4 - 14x3 + 1 $$-\,2^{14}\cdot 7^{16}$$ $F_7$ (as 14T4) Trivial
14.0.1475921147386413091.1 x14 - 4x13 + 9x12 - 20x11 + 64x10 - 163x9 + 248x8 - 197x7 + 73x6 - 76x5 + 182x4 - 203x3 + 113x2 - 30x + 4 $$-\,7^{7}\cdot 13^{11}$$ $F_7$ (as 14T4) $[2]$
14.0.2523048836405617863.1 x14 + 7x12 + 21x10 + 35x8 - 3x7 + 56x6 - 63x5 + 126x4 - 105x3 + 70x2 - 21x + 4 $$-\,3^{12}\cdot 7^{15}$$ $F_7$ (as 14T4) Trivial
14.0.4304209926662811648.1 x14 - 7x13 + 11x12 + 25x11 - 79x10 - x9 + 191x8 - 197x7 + 4x6 + 98x5 - 20x4 - 62x3 + 52x2 - 16x + 2 $$-\,2^{12}\cdot 3^{12}\cdot 7^{11}$$ $F_7$ (as 14T4) Trivial
14.0.1977326743000000000000.1 x14 - x13 - 15x12 + 17x11 + 59x10 - 23x9 - 107x8 - 435x7 + 594x6 + 388x5 + 1158x4 - 408x3 + 250x2 + 6x + 2 $$-\,2^{12}\cdot 5^{12}\cdot 7^{11}$$ $F_7$ (as 14T4) Trivial
14.0.10334408033917410766848.1 x14 - 78x7 + 4608 $$-\,2^{12}\cdot 3^{12}\cdot 7^{15}$$ $F_7$ (as 14T4) Trivial (GRH)
14.0.10334408033917410766848.2 x14 + 336x8 - 1512x6 + 2772x4 + 252x2 + 252 $$-\,2^{12}\cdot 3^{12}\cdot 7^{15}$$ $F_7$ (as 14T4) Trivial (GRH)
14.0.10334408033917410766848.3 x14 - 7x13 + 35x12 - 119x11 + 329x10 - 721x9 + 1337x8 - 2021x7 + 2590x6 - 3640x5 + 4732x4 - 1484x3 - 1652x2 + 308x + 428 $$-\,2^{12}\cdot 3^{12}\cdot 7^{15}$$ $F_7$ (as 14T4) Trivial (GRH)
14.0.10334408033917410766848.4 x14 + 7x12 + 105x10 - 168x9 + 455x8 - 480x7 + 539x6 - 252x5 + 441x4 - 504x3 + 1939x2 - 2100x + 1117 $$-\,2^{12}\cdot 3^{12}\cdot 7^{15}$$ $F_7$ (as 14T4) Trivial (GRH)
14.14.26736653147041339876997.1 x14 - 22x12 - 3x11 + 162x10 + 12x9 - 485x8 + 81x7 + 591x6 - 246x5 - 219x4 + 145x3 - 10x2 - 7x + 1 $$7^{8}\cdot 173^{7}$$ $F_7$ (as 14T4) Trivial (GRH)
14.0.65712362363534280139543.1 x14 + 7 $$-\,7^{27}$$ $F_7$ (as 14T4) Trivial (GRH)
14.14.166104174696434739378521.1 x14 - x13 - 32x12 + 63x11 + 218x10 - 595x9 - 241x8 + 1609x7 - 655x6 - 1509x5 + 1393x4 + 151x3 - 647x2 + 287x - 41 $$31^{8}\cdot 41^{7}$$ $F_7$ (as 14T4) Trivial
14.0.4747561509943000000000000.1 x14 - 130x7 + 12800 $$-\,2^{12}\cdot 5^{12}\cdot 7^{15}$$ $F_7$ (as 14T4) $[2, 2]$ (GRH)
14.0.269157836241036411451568128.1 x14 + 448 $$-\,2^{12}\cdot 7^{27}$$ $F_7$ (as 14T4) $[2, 2]$ (GRH)
14.0.269157836241036411451568128.2 x14 + 28672 $$-\,2^{12}\cdot 7^{27}$$ $F_7$ (as 14T4) Trivial (GRH)
14.0.1050832501626663000000000000.1 x14 - 7x13 + 35x12 - 119x11 + 329x10 - 721x9 + 1337x8 - 1985x7 + 2464x6 - 4774x5 + 7882x4 - 854x3 - 5810x2 + 1442x + 1418 $$-\,2^{12}\cdot 3^{12}\cdot 5^{12}\cdot 7^{11}$$ $F_7$ (as 14T4) Trivial (GRH)
14.0.1050832501626663000000000000.2 x14 + x12 - 30x11 + 39x10 + 510x9 + 2375x8 + 7320x7 + 12755x6 + 6720x5 - 1197x4 + 44310x3 + 213493x2 + 346290x + 224917 $$-\,2^{12}\cdot 3^{12}\cdot 5^{12}\cdot 7^{11}$$ $F_7$ (as 14T4) Trivial (GRH)
14.0.1050832501626663000000000000.3 x14 - 59x12 + 1269x10 - 11395x8 + 28655x6 + 64563x4 + 245323x2 + 514087 $$-\,2^{12}\cdot 3^{12}\cdot 5^{12}\cdot 7^{11}$$ $F_7$ (as 14T4) Trivial (GRH)
14.0.4718733437914712722630340608.1 x14 - 7x13 + 35x12 - 119x11 + 329x10 - 721x9 + 1337x8 - 1909x7 + 2198x6 - 7168x5 + 14532x4 + 476x3 - 14588x2 + 3836x + 5636 $$-\,2^{12}\cdot 7^{11}\cdot 17^{12}$$ $F_7$ (as 14T4) Trivial (GRH)
14.0.2523048836405617863000000000000.1 x14 - 7x13 + 35x12 - 119x11 + 329x10 - 721x9 + 1337x8 + 355x7 - 5726x6 - 78484x5 + 212632x4 + 40096x3 - 276080x2 + 75152x + 1455728 $$-\,2^{12}\cdot 3^{12}\cdot 5^{12}\cdot 7^{15}$$ $F_7$ (as 14T4) $[7]$ (GRH)
14.0.2523048836405617863000000000000.2 x14 - 7x13 + 35x12 - 119x11 + 329x10 - 721x9 + 1337x8 - 605x7 - 2366x6 - 48244x5 + 128632x4 + 23296x3 - 165200x2 + 44912x + 527888 $$-\,2^{12}\cdot 3^{12}\cdot 5^{12}\cdot 7^{15}$$ $F_7$ (as 14T4) $[7]$ (GRH)
14.0.2523048836405617863000000000000.3 x14 - 7x13 + 35x12 - 119x11 + 329x10 - 721x9 + 1337x8 - 1745x7 + 1624x6 - 12334x5 + 28882x4 + 3346x3 - 33530x2 + 9002x + 24578 $$-\,2^{12}\cdot 3^{12}\cdot 5^{12}\cdot 7^{15}$$ $F_7$ (as 14T4) $[7]$ (GRH)
14.0.2523048836405617863000000000000.4 x14 - 7x13 + 35x12 - 119x11 + 329x10 - 721x9 + 1337x8 - 1445x7 + 574x6 - 21784x5 + 55132x4 + 8596x3 - 68180x2 + 18452x + 94028 $$-\,2^{12}\cdot 3^{12}\cdot 5^{12}\cdot 7^{15}$$ $F_7$ (as 14T4) $[2, 14]$ (GRH)
14.0.13508454573202782417150410846208.1 x14 - 7x13 + 35x12 - 119x11 + 329x10 - 721x9 + 1337x8 + 859x7 - 7490x6 - 94360x5 + 256732x4 + 48916x3 - 334292x2 + 91028x + 2127308 $$-\,2^{12}\cdot 3^{12}\cdot 7^{11}\cdot 11^{12}$$ $F_7$ (as 14T4) $[7]$ (GRH)
14.0.100279849256417888141681913458688.1 x14 - 7x13 + 35x12 - 119x11 + 329x10 - 721x9 + 1337x8 + 2011x7 - 11522x6 - 130648x5 + 357532x4 + 69076x3 - 467348x2 + 127316x + 4139276 $$-\,2^{12}\cdot 3^{12}\cdot 7^{11}\cdot 13^{12}$$ $F_7$ (as 14T4) $[7, 14, 14]$ (GRH)
14.0.143041509649772631538232817512448.1 x14 - 7x13 + 35x12 - 119x11 + 329x10 - 721x9 + 1337x8 - 1877x7 + 2086x6 - 8176x5 + 17332x4 + 1036x3 - 18284x2 + 4844x + 8276 $$-\,2^{12}\cdot 3^{12}\cdot 7^{27}$$ $F_7$ (as 14T4) Trivial (GRH)
14.0.143041509649772631538232817512448.2 x14 + 9072 $$-\,2^{12}\cdot 3^{12}\cdot 7^{27}$$ $F_7$ (as 14T4) $[2, 2]$ (GRH)
14.0.143041509649772631538232817512448.3 x14 + 16128 $$-\,2^{12}\cdot 3^{12}\cdot 7^{27}$$ $F_7$ (as 14T4) $[2, 2]$ (GRH)
14.0.143041509649772631538232817512448.4 x14 + 252 $$-\,2^{12}\cdot 3^{12}\cdot 7^{27}$$ $F_7$ (as 14T4) Trivial (GRH)
14.0.2507728416978832844027390843056128.1 x14 - 7x13 + 35x12 - 119x11 + 329x10 - 721x9 + 1337x8 + 4483x7 - 20174x6 - 208516x5 + 573832x4 + 112336x3 - 752864x2 + 205184x + 10696256 $$-\,2^{12}\cdot 3^{12}\cdot 7^{11}\cdot 17^{12}$$ $F_7$ (as 14T4) Trivial (GRH)
14.0.32433799430259880583578136441745408.1 x14 - 7x13 + 35x12 - 119x11 + 329x10 - 721x9 + 1337x8 - 1781x7 + 1750x6 - 11200x5 + 25732x4 + 2716x3 - 29372x2 + 7868x + 19268 $$-\,2^{12}\cdot 3^{12}\cdot 7^{15}\cdot 11^{12}$$ $F_7$ (as 14T4) $[21, 21]$ (GRH)
14.0.65712362363534280139543000000000000.1 x14 + 17500 $$-\,2^{12}\cdot 5^{12}\cdot 7^{27}$$ $F_7$ (as 14T4) $[4, 4]$ (GRH)
14.0.65712362363534280139543000000000000.2 x14 + 2800 $$-\,2^{12}\cdot 5^{12}\cdot 7^{27}$$ $F_7$ (as 14T4) $[3, 21]$ (GRH)
14.0.94325144019389246216994698931499008.1 x14 + 4x12 - 348x10 + 260x8 + 209948x6 + 3803928x4 + 28024480x2 + 79121308 $$-\,2^{12}\cdot 3^{12}\cdot 7^{11}\cdot 23^{12}$$ $F_7$ (as 14T4) $[7]$ (GRH)
14.0.14899881763033509191236903000000000000.1 x14 - 7x13 + 35x12 - 119x11 + 329x10 - 721x9 + 1337x8 + 375x7 - 5796x6 - 79114x5 + 214382x4 + 40446x3 - 278390x2 + 75782x + 1479958 $$-\,2^{12}\cdot 5^{12}\cdot 7^{15}\cdot 11^{12}$$ $F_7$ (as 14T4) $[7, 7]$ (GRH)
14.0.612238383051472862311374717543000000000000.1 x14 - 7x13 + 35x12 - 119x11 + 329x10 - 721x9 + 1337x8 + 120355x7 - 425726x6 - 3858484x5 + 10712632x4 + 2140096x3 - 14136080x2 + 3855152x + 3746235728 $$-\,2^{12}\cdot 3^{12}\cdot 5^{12}\cdot 7^{11}\cdot 17^{12}$$ $F_7$ (as 14T4) $[7]$ (GRH)
14.0.29898464040397228799207555080392669309147967488.1 x14 - 7x13 + 35x12 - 119x11 + 329x10 - 721x9 + 1337x8 + 1284559x7 - 4500440x6 - 40530910x5 + 112580482x4 + 22513666x3 - 148601642x2 + 40527578x + 413845826258 $$-\,2^{12}\cdot 3^{12}\cdot 7^{11}\cdot 11^{12}\cdot 19^{12}$$ $F_7$ (as 14T4) n/a