## Results (displaying matches 1-50 of 10688) Next

Label Polynomial Discriminant Galois group Class group
8.0.5308416.1 x8 - x4 + 1 $$2^{16}\cdot 3^{4}$$ $C_2^3$ (as 8T3) Trivial
8.0.12960000.1 x8 - 3x6 + 8x4 - 3x2 + 1 $$2^{8}\cdot 3^{4}\cdot 5^{4}$$ $C_2^3$ (as 8T3) Trivial
8.0.40960000.1 x8 + 7x4 + 1 $$2^{16}\cdot 5^{4}$$ $C_2^3$ (as 8T3) Trivial
8.0.49787136.1 x8 + 3x6 + 5x4 + 12x2 + 16 $$2^{8}\cdot 3^{4}\cdot 7^{4}$$ $C_2^3$ (as 8T3) Trivial
8.0.121550625.1 x8 - x7 - 4x6 - 9x5 + 23x4 + 18x3 - 16x2 + 8x + 16 $$3^{4}\cdot 5^{4}\cdot 7^{4}$$ $C_2^3$ (as 8T3) Trivial
8.0.157351936.1 x8 + x4 + 16 $$2^{16}\cdot 7^{4}$$ $C_2^3$ (as 8T3) $[2]$
8.0.207360000.1 x8 + 6x6 + 32x4 + 24x2 + 16 $$2^{12}\cdot 3^{4}\cdot 5^{4}$$ $C_2^3$ (as 8T3) $[2]$
8.0.207360000.2 x8 - 6x6 + 32x4 - 24x2 + 16 $$2^{12}\cdot 3^{4}\cdot 5^{4}$$ $C_2^3$ (as 8T3) Trivial
8.0.303595776.1 x8 + 5x6 + 16x4 + 45x2 + 81 $$2^{8}\cdot 3^{4}\cdot 11^{4}$$ $C_2^3$ (as 8T3) Trivial
8.0.384160000.1 x8 - 9x6 + 37x4 - 36x2 + 16 $$2^{8}\cdot 5^{4}\cdot 7^{4}$$ $C_2^3$ (as 8T3) Trivial
8.0.592240896.1 x8 - 7x6 + 40x4 - 63x2 + 81 $$2^{8}\cdot 3^{4}\cdot 13^{4}$$ $C_2^3$ (as 8T3) $[2]$
8.0.741200625.1 x8 - 3x6 - 7x4 - 48x2 + 256 $$3^{4}\cdot 5^{4}\cdot 11^{4}$$ $C_2^3$ (as 8T3) $[2]$
8.0.796594176.1 x8 - 2x7 - 5x6 - 2x5 + 63x4 - 64x3 + 46x2 - 16x + 4 $$2^{12}\cdot 3^{4}\cdot 7^{4}$$ $C_2^3$ (as 8T3) Trivial
8.0.796594176.2 x8 - 4x7 + 18x6 - 40x5 + 83x4 - 104x3 + 22x2 + 24x + 4 $$2^{12}\cdot 3^{4}\cdot 7^{4}$$ $C_2^3$ (as 8T3) $[2]$
8.0.959512576.1 x8 + 7x4 + 81 $$2^{16}\cdot 11^{4}$$ $C_2^3$ (as 8T3) Trivial
8.0.1445900625.1 x8 + 9x6 + 77x4 + 36x2 + 16 $$3^{4}\cdot 5^{4}\cdot 13^{4}$$ $C_2^3$ (as 8T3) $[4]$
8.0.1731891456.1 x8 - 9x6 + 65x4 - 144x2 + 256 $$2^{8}\cdot 3^{4}\cdot 17^{4}$$ $C_2^3$ (as 8T3) $[2]$
8.0.1871773696.1 x8 + 31x4 + 81 $$2^{16}\cdot 13^{4}$$ $C_2^3$ (as 8T3) $[3]$
8.0.2342560000.1 x8 - 4x7 + 24x6 - 58x5 + 141x4 - 190x3 + 186x2 - 100x + 20 $$2^{8}\cdot 5^{4}\cdot 11^{4}$$ $C_2^3$ (as 8T3) $[2]$
8.0.2702336256.1 x8 + 9x6 + 56x4 + 225x2 + 625 $$2^{8}\cdot 3^{4}\cdot 19^{4}$$ $C_2^3$ (as 8T3) Trivial
8.0.2847396321.1 x8 - 9x6 + 80x4 - 9x2 + 1 $$3^{4}\cdot 7^{4}\cdot 11^{4}$$ $C_2^3$ (as 8T3) $[3]$
8.0.3317760000.1 x8 - 8x6 + 13x4 + 12x2 + 36 $$2^{16}\cdot 3^{4}\cdot 5^{4}$$ $C_2^3$ (as 8T3) $[4]$
8.8.3317760000.1 x8 - 12x6 + 23x4 - 12x2 + 1 $$2^{16}\cdot 3^{4}\cdot 5^{4}$$ $C_2^3$ (as 8T3) Trivial
8.0.3317760000.2 x8 - 25x4 + 625 $$2^{16}\cdot 3^{4}\cdot 5^{4}$$ $C_2^3$ (as 8T3) $[4]$
8.0.3317760000.3 x8 - 4x6 + 7x4 - 36x2 + 81 $$2^{16}\cdot 3^{4}\cdot 5^{4}$$ $C_2^3$ (as 8T3) $[2, 2]$
8.0.3317760000.4 x8 + 17x4 + 256 $$2^{16}\cdot 3^{4}\cdot 5^{4}$$ $C_2^3$ (as 8T3) $[4]$
8.0.3317760000.5 x8 - 7x4 + 16 $$2^{16}\cdot 3^{4}\cdot 5^{4}$$ $C_2^3$ (as 8T3) $[4]$
8.0.3317760000.6 x8 + 8x6 + 13x4 - 12x2 + 36 $$2^{16}\cdot 3^{4}\cdot 5^{4}$$ $C_2^3$ (as 8T3) $[4]$
8.0.3317760000.7 x8 + 12x6 + 23x4 + 12x2 + 1 $$2^{16}\cdot 3^{4}\cdot 5^{4}$$ $C_2^3$ (as 8T3) $[4]$
8.0.3317760000.8 x8 + 4x6 + 7x4 + 36x2 + 81 $$2^{16}\cdot 3^{4}\cdot 5^{4}$$ $C_2^3$ (as 8T3) $[4]$
8.0.3317760000.9 x8 - 4x7 + 2x6 + 8x5 + 13x4 - 44x3 + 164x2 - 140x + 145 $$2^{16}\cdot 3^{4}\cdot 5^{4}$$ $C_2^3$ (as 8T3) $[4]$
8.0.4228250625.1 x8 + 11x6 + 112x4 + 99x2 + 81 $$3^{4}\cdot 5^{4}\cdot 17^{4}$$ $C_2^3$ (as 8T3) $[6]$
8.0.4569760000.1 x8 - 4x7 + 14x5 + 33x4 - 94x3 - 138x2 + 188x + 404 $$2^{8}\cdot 5^{4}\cdot 13^{4}$$ $C_2^3$ (as 8T3) $[4]$
8.0.4857532416.1 x8 - 2x7 + x6 - 14x5 + 96x4 - 82x3 - 17x2 + 86x + 31 $$2^{12}\cdot 3^{4}\cdot 11^{4}$$ $C_2^3$ (as 8T3) Trivial
8.0.4857532416.2 x8 - 2x7 - 7x6 - 2x5 + 98x4 - 98x3 + 67x2 - 30x + 9 $$2^{12}\cdot 3^{4}\cdot 11^{4}$$ $C_2^3$ (as 8T3) $[2]$
8.0.5473632256.1 x8 + 49x4 + 256 $$2^{16}\cdot 17^{4}$$ $C_2^3$ (as 8T3) $[2, 2]$
8.0.5554571841.1 x8 + 3x6 - 16x4 + 75x2 + 625 $$3^{4}\cdot 7^{4}\cdot 13^{4}$$ $C_2^3$ (as 8T3) $[2]$
8.0.5802782976.1 x8 + 11x6 + 85x4 + 396x2 + 1296 $$2^{8}\cdot 3^{4}\cdot 23^{4}$$ $C_2^3$ (as 8T3) $[6]$
8.0.6146560000.1 x8 - 4x7 + 26x6 - 64x5 + 159x4 - 216x3 + 218x2 - 120x + 36 $$2^{12}\cdot 5^{4}\cdot 7^{4}$$ $C_2^3$ (as 8T3) Trivial
8.0.6146560000.2 x8 - 6x6 + 39x4 + 190x2 + 225 $$2^{12}\cdot 5^{4}\cdot 7^{4}$$ $C_2^3$ (as 8T3) $[4]$
8.0.6597500625.1 x8 - 7x6 + 13x4 - 252x2 + 1296 $$3^{4}\cdot 5^{4}\cdot 19^{4}$$ $C_2^3$ (as 8T3) $[4]$
8.0.8540717056.1 x8 + 31x4 + 625 $$2^{16}\cdot 19^{4}$$ $C_2^3$ (as 8T3) $[3]$
8.0.8999178496.1 x8 - 4x7 + 4x6 + 2x5 + 37x4 - 82x3 - 76x2 + 118x + 401 $$2^{8}\cdot 7^{4}\cdot 11^{4}$$ $C_2^3$ (as 8T3) $[2]$
8.0.9475854336.1 x8 - 4x7 - 10x6 + 44x5 + 29x4 - 136x3 + 136x2 - 60x + 75 $$2^{12}\cdot 3^{4}\cdot 13^{4}$$ $C_2^3$ (as 8T3) $[6]$
8.0.9475854336.2 x8 - 2x7 + 13x6 - 2x5 + 102x4 - 94x3 + 91x2 - 10x + 1 $$2^{12}\cdot 3^{4}\cdot 13^{4}$$ $C_2^3$ (as 8T3) $[4]$
8.0.12745506816.1 x8 + 23x4 + 1 $$2^{16}\cdot 3^{4}\cdot 7^{4}$$ $C_2^3$ (as 8T3) $[8]$
8.8.12745506816.1 x8 - 16x6 + 79x4 - 120x2 + 9 $$2^{16}\cdot 3^{4}\cdot 7^{4}$$ $C_2^3$ (as 8T3) Trivial
8.0.12745506816.2 x8 - 4x7 + 22x6 - 52x5 + 111x4 - 140x3 + 130x2 - 68x + 22 $$2^{16}\cdot 3^{4}\cdot 7^{4}$$ $C_2^3$ (as 8T3) $[2, 2]$
8.0.12745506816.3 x8 + 16x6 + 79x4 + 120x2 + 9 $$2^{16}\cdot 3^{4}\cdot 7^{4}$$ $C_2^3$ (as 8T3) $[8]$
8.0.12745506816.4 x8 + 8x6 + 55x4 + 72x2 + 81 $$2^{16}\cdot 3^{4}\cdot 7^{4}$$ $C_2^3$ (as 8T3) $[2, 2]$

Next