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Results (1-50 of 399 matches)

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Label Polynomial Discriminant Galois group Class group
8.0.25176309760.1 x8 - 6x6 + 14x4 - 16x2 + 10 \( 2^{21}\cdot 5\cdot 7^{4} \) $C_2\wr A_4$ (as 8T38) trivial
8.2.29953622016.2 x8 - 2x6 + 18x4 - 36x2 - 54 \( -\,2^{21}\cdot 3^{3}\cdot 23^{2} \) $C_2 \wr S_4$ (as 8T44) trivial
8.4.32172408832.1 x8 + 6x6 - 10x4 - 64x2 + 58 \( 2^{21}\cdot 23^{2}\cdot 29 \) $C_2 \wr S_4$ (as 8T44) trivial
8.2.41278242816.2 x8 - 4x7 - 2x6 + 16x5 + 14x4 - 44x3 - 22x2 + 64x - 25 \( -\,2^{21}\cdot 3^{9} \) $S_8$ (as 8T50) trivial
8.0.105740500992.1 x8 - 10x6 + 38x4 - 64x2 + 42 \( 2^{21}\cdot 3\cdot 7^{5} \) $C_2\wr A_4$ (as 8T38) trivial
8.0.105740500992.2 x8 + 6x6 + 14x4 - 56x2 + 42 \( 2^{21}\cdot 3\cdot 7^{5} \) $C_2\wr A_4$ (as 8T38) trivial
8.2.114661785600.13 x8 - 12x4 - 40x2 - 24 \( -\,2^{21}\cdot 3^{7}\cdot 5^{2} \) $C_2 \wr S_4$ (as 8T44) trivial
8.0.178872385536.4 x8 + 8x6 + 36x4 + 88x2 + 104 \( 2^{21}\cdot 3^{8}\cdot 13 \) $C_2\wr A_4$ (as 8T38) trivial
8.0.186304692224.3 x8 - 16x6 + 100x4 - 280x2 + 296 \( 2^{21}\cdot 7^{4}\cdot 37 \) $C_2\wr A_4$ (as 8T38) trivial
8.0.191102976000.4 x8 + 4x6 + 12x4 + 40x2 + 40 \( 2^{21}\cdot 3^{6}\cdot 5^{3} \) $C_2 \wr S_4$ (as 8T44) trivial
8.0.288947699712.8 x8 + 12x6 + 60x4 + 152x2 + 168 \( 2^{21}\cdot 3^{9}\cdot 7 \) $C_2\wr A_4$ (as 8T38) trivial
8.4.321126400000.2 x8 - 6x6 + 2x4 + 12x2 + 10 \( 2^{21}\cdot 5^{5}\cdot 7^{2} \) $C_2 \wr S_4$ (as 8T44) trivial
8.0.399023013888.4 x8 - 14x6 + 42x4 + 52x2 + 58 \( 2^{21}\cdot 3^{8}\cdot 29 \) $C_2\wr A_4$ (as 8T38) trivial
8.0.619173642240.1 x8 + 36x4 - 24x2 + 360 \( 2^{21}\cdot 3^{10}\cdot 5 \) $C_2\wr A_4$ (as 8T38) $[2]$
8.0.778657857536.1 x8 - 4x6 + 40x4 - 64x2 + 416 \( 2^{21}\cdot 13^{5} \) $C_2\wr A_4$ (as 8T38) trivial
8.0.949399584768.6 x8 - 6x6 + 30x4 - 64x2 + 138 \( 2^{21}\cdot 3^{9}\cdot 23 \) $C_2\wr A_4$ (as 8T38) trivial
8.0.1233639178240.2 x8 + 84x4 + 728x2 + 1960 \( 2^{21}\cdot 5\cdot 7^{6} \) $C_2\wr A_4$ (as 8T38) $[2]$
8.0.1279625527296.1 x8 - 20x6 + 156x4 - 552x2 + 744 \( 2^{21}\cdot 3^{9}\cdot 31 \) $C_2\wr A_4$ (as 8T38) trivial
8.0.1366514728960.3 x8 - 8x6 + 20x4 - 24x2 + 40 \( 2^{21}\cdot 5\cdot 19^{4} \) $C_2\wr A_4$ (as 8T38) trivial
8.0.1719926784000.10 x8 - 26x6 + 150x4 + 400x2 + 250 \( 2^{21}\cdot 3^{8}\cdot 5^{3} \) $C_2\wr A_4$ (as 8T38) trivial
8.0.1940077412352.1 x8 - 4x6 + 60x4 - 120x2 + 1128 \( 2^{21}\cdot 3^{9}\cdot 47 \) $C_2\wr A_4$ (as 8T38) trivial
8.2.2022633897984.5 x8 + 2x6 - 6x4 - 12x2 - 6 \( -\,2^{21}\cdot 3^{9}\cdot 7^{2} \) $C_2 \wr S_4$ (as 8T44) trivial
8.0.2079563186176.2 x8 - 6x6 + 126x4 - 112x2 + 826 \( 2^{21}\cdot 7^{5}\cdot 59 \) $C_2\wr A_4$ (as 8T38) trivial
8.0.2079563186176.8 x8 + 20x6 + 236x4 + 1128x2 + 3304 \( 2^{21}\cdot 7^{5}\cdot 59 \) $C_2\wr A_4$ (as 8T38) trivial
8.2.2247884800000.3 x8 - 6x6 - 50x4 - 70 \( -\,2^{21}\cdot 5^{5}\cdot 7^{3} \) $C_2 \wr S_4$ (as 8T44) $[2]$
8.0.2270303354880.5 x8 - 6x6 + 18x4 - 116x2 + 330 \( 2^{21}\cdot 3^{9}\cdot 5\cdot 11 \) $C_2\wr A_4$ (as 8T38) $[2]$
8.2.2866544640000.24 x8 - 4x6 - 36x4 - 360x2 - 600 \( -\,2^{21}\cdot 3^{7}\cdot 5^{4} \) $C_2 \wr S_4$ (as 8T44) $[2]$
8.0.3126897672192.3 x8 - 22x6 + 126x4 + 576x2 + 1242 \( 2^{21}\cdot 3^{3}\cdot 7^{4}\cdot 23 \) $C_2\wr A_4$ (as 8T38) trivial
8.0.3552938295296.3 x8 - 6x6 + 22x4 - 40x2 + 26 \( 2^{21}\cdot 13\cdot 19^{4} \) $C_2\wr A_4$ (as 8T38) trivial
8.0.4214514253824.3 x8 - 44x6 + 684x4 - 3672x2 + 6696 \( 2^{21}\cdot 3^{3}\cdot 7^{4}\cdot 31 \) $C_2\wr A_4$ (as 8T38) trivial
8.0.4254796349440.3 x8 - 6x6 - 30x4 - 52x2 + 1690 \( 2^{21}\cdot 5\cdot 7^{4}\cdot 13^{2} \) $C_2\wr A_4$ (as 8T38) $[2]$
8.0.9128929918976.1 x8 - 42x6 + 574x4 - 1624x2 + 3626 \( 2^{21}\cdot 7^{6}\cdot 37 \) $C_2\wr A_4$ (as 8T38) $[2]$
8.0.10699931648000.2 x8 + 34x6 + 410x4 + 2100x2 + 4250 \( 2^{21}\cdot 5^{3}\cdot 7^{4}\cdot 17 \) $C_2\wr A_4$ (as 8T38) $[2]$
8.0.11320487313408.2 x8 + 2x6 + 42x4 + 36x2 + 378 \( 2^{21}\cdot 3^{3}\cdot 7\cdot 13^{4} \) $C_2\wr A_4$ (as 8T38) trivial
8.0.13237183578112.3 x8 + 6x6 + 38x4 + 112x2 + 442 \( 2^{21}\cdot 13^{5}\cdot 17 \) $C_2\wr A_4$ (as 8T38) $[2]$
8.0.14158437285888.3 x8 - 18x6 + 210x4 - 980x2 + 2058 \( 2^{21}\cdot 3^{9}\cdot 7^{3} \) $C_2\wr A_4$ (as 8T38) trivial
8.0.14158437285888.9 x8 - 8x6 - 12x4 + 168x2 + 168 \( 2^{21}\cdot 3^{9}\cdot 7^{3} \) $C_2 \wr S_4$ (as 8T44) $[4]$
8.0.15735193600000.1 x8 - 8x6 - 12x4 + 1064x2 + 1960 \( 2^{21}\cdot 5^{5}\cdot 7^{4} \) $C_2 \wr S_4$ (as 8T44) $[2]$
8.2.15845466046464.3 x8 - 14x6 - 342x4 + 2484x2 - 28566 \( -\,2^{21}\cdot 3^{3}\cdot 23^{4} \) $C_2 \wr S_4$ (as 8T44) trivial
8.0.16178296651776.3 x8 + 10x6 + 150x4 + 792x2 + 6426 \( 2^{21}\cdot 3^{3}\cdot 7^{5}\cdot 17 \) $C_2\wr A_4$ (as 8T38) $[2]$
8.0.16178296651776.7 x8 - 4x6 + 252x4 + 2520x2 + 25704 \( 2^{21}\cdot 3^{3}\cdot 7^{5}\cdot 17 \) $C_2\wr A_4$ (as 8T38) $[2]$
8.0.17870144667648.2 x8 - 34x6 + 434x4 - 2548x2 + 7098 \( 2^{21}\cdot 3\cdot 7^{5}\cdot 13^{2} \) $C_2\wr A_4$ (as 8T38) $[2]$
8.0.17870144667648.12 x8 + 6x6 + 362x4 + 3172x2 + 7098 \( 2^{21}\cdot 3\cdot 7^{5}\cdot 13^{2} \) $C_2\wr A_4$ (as 8T38) $[2]$
8.0.19466446438400.7 x8 + 10x6 + 182x4 + 520x2 + 650 \( 2^{21}\cdot 5^{2}\cdot 13^{5} \) $C_2\wr A_4$ (as 8T38) $[2]$
8.0.19466446438400.9 x8 - 4x6 + 92x4 - 1000x2 + 2600 \( 2^{21}\cdot 5^{2}\cdot 13^{5} \) $C_2\wr A_4$ (as 8T38) $[4]$
8.0.31404928794624.4 x8 + 18x6 + 378x4 + 3780x2 + 12474 \( 2^{21}\cdot 3^{4}\cdot 7^{5}\cdot 11 \) $C_2\wr A_4$ (as 8T38) $[2, 2]$
8.0.31404928794624.5 x8 - 48x6 + 1188x4 - 8856x2 + 49896 \( 2^{21}\cdot 3^{4}\cdot 7^{5}\cdot 11 \) $C_2\wr A_4$ (as 8T38) $[2, 2]$
8.4.42998169600000.6 x8 - 30x6 + 330x4 - 1500x2 + 2250 \( 2^{21}\cdot 3^{8}\cdot 5^{5} \) $C_2 \wr S_4$ (as 8T44) $[2]$
8.0.46913535606784.4 x8 + 10x6 + 374x4 - 2904x2 + 18634 \( 2^{21}\cdot 7^{5}\cdot 11^{3} \) $C_2\wr A_4$ (as 8T38) $[5]$
8.0.46913535606784.7 x8 + 54x6 + 1694x4 + 6776x2 + 18634 \( 2^{21}\cdot 7^{5}\cdot 11^{3} \) $C_2\wr A_4$ (as 8T38) trivial
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