## Results (1-50 of at least 1000)

Label Polynomial Discriminant Galois group Class group
6.2.1382400.1 x6 - 2x4 - 4x3 - 8x2 - 8x - 2 $$2^{11}\cdot 3^{3}\cdot 5^{2}$$ $S_3^2$ (as 6T9) trivial
6.2.2037760.1 x6 - 2x5 + 5x4 - 8x3 + 7x2 - 6x + 1 $$2^{11}\cdot 5\cdot 199$$ $S_6$ (as 6T16) trivial
6.2.2480128.1 x6 - 2x5 - 3x4 + 3x2 + 2x + 3 $$2^{11}\cdot 7\cdot 173$$ $S_6$ (as 6T16) trivial
6.2.2725888.3 x6 - 6x4 + 20x2 - 22 $$2^{11}\cdot 11^{3}$$ $D_{6}$ (as 6T3) trivial
6.0.4139008.1 x6 - 2x5 - x4 - 4x3 + 9x2 + 6x + 1 $$-\,2^{11}\cdot 43\cdot 47$$ $S_6$ (as 6T16) $[2]$
6.2.4478976.4 x6 - 6x4 + 12x2 - 6 $$2^{11}\cdot 3^{7}$$ $D_{6}$ (as 6T3) trivial
6.0.4794368.1 x6 - 2x5 + 3x4 + 7x2 + 2x + 3 $$-\,2^{11}\cdot 2341$$ $S_6$ (as 6T16) $[2]$
6.2.4937728.2 x6 - 4x4 - 4x3 - 4x2 - 2 $$2^{11}\cdot 2411$$ $S_6$ (as 6T16) trivial
6.2.5691392.1 x6 + 2x4 - 4x2 - 16x - 6 $$2^{11}\cdot 7\cdot 397$$ $S_6$ (as 6T16) trivial
6.2.6690816.1 x6 + 6x4 - 54 $$2^{11}\cdot 3^{3}\cdot 11^{2}$$ $D_{6}$ (as 6T3) trivial
6.0.7186432.2 x6 + 2x4 + 12x2 + 58 $$-\,2^{11}\cdot 11^{2}\cdot 29$$ $S_4\times C_2$ (as 6T11) $[2]$
6.2.7215104.1 x6 - 4x3 - 6x2 - 4x - 2 $$2^{11}\cdot 13\cdot 271$$ $S_6$ (as 6T16) trivial
6.2.7346176.1 x6 - 2x5 + x4 - 4x3 - x2 - 2x + 1 $$2^{11}\cdot 17\cdot 211$$ $S_6$ (as 6T16) trivial
6.4.7464960.1 x6 - 6x4 - 4x3 + 4 $$-\,2^{11}\cdot 3^{6}\cdot 5$$ $C_3^2:D_4$ (as 6T13) trivial
6.0.7514112.1 x6 - 2x5 + 7x4 - 8x3 + 13x2 - 6x + 9 $$-\,2^{11}\cdot 3\cdot 1223$$ $S_6$ (as 6T16) $[2]$
6.2.7591936.1 x6 - 2x4 - 8x3 - 4x2 - 16x - 8 $$2^{11}\cdot 11\cdot 337$$ $S_6$ (as 6T16) trivial
6.2.8017920.3 x6 + 2x4 - 8x3 - 2x2 + 4x - 2 $$2^{11}\cdot 3^{3}\cdot 5\cdot 29$$ $C_3^2:D_4$ (as 6T13) trivial
6.4.8792064.1 x6 - 6x4 - 4x3 + 12x2 - 2 $$-\,2^{11}\cdot 3^{4}\cdot 53$$ $C_3^2:D_4$ (as 6T13) trivial
6.2.8820736.1 x6 + 2x4 - 2x2 - 4x - 2 $$2^{11}\cdot 59\cdot 73$$ $S_6$ (as 6T16) trivial
6.4.9005056.1 x6 - 2x5 - 3x4 + 8x3 - x2 - 6x + 1 $$-\,2^{11}\cdot 4397$$ $S_6$ (as 6T16) trivial
6.4.9234432.1 x6 - 2x5 - x4 + 8x3 - 11x2 + 2x + 1 $$-\,2^{11}\cdot 3^{3}\cdot 167$$ $S_6$ (as 6T16) trivial
6.2.9476096.1 x6 - 2x5 - x4 + 4x3 - 7x2 + 6x + 9 $$2^{11}\cdot 7\cdot 661$$ $S_6$ (as 6T16) trivial
6.2.9558016.1 x6 - 2x5 + x4 - 8x3 + 19x2 - 6x - 7 $$2^{11}\cdot 13\cdot 359$$ $S_6$ (as 6T16) trivial
6.0.9611264.2 x6 + 8x4 + 24x2 + 26 $$-\,2^{11}\cdot 13\cdot 19^{2}$$ $S_4\times C_2$ (as 6T11) $[2]$
6.4.10561536.1 x6 - 2x5 - 3x4 + 11x2 + 2x - 5 $$-\,2^{11}\cdot 3^{3}\cdot 191$$ $C_3^2:D_4$ (as 6T13) trivial
6.2.10655744.1 x6 - 4x4 + 28x2 - 86 $$2^{11}\cdot 11^{2}\cdot 43$$ $S_4\times C_2$ (as 6T11) trivial
6.2.10672128.1 x6 - 2x5 + x4 + 4x3 - 7x2 + 6x - 5 $$2^{11}\cdot 3^{3}\cdot 193$$ $C_3^2:D_4$ (as 6T13) trivial
6.2.10754048.1 x6 - 4x3 + 2x2 + 4x - 2 $$2^{11}\cdot 59\cdot 89$$ $S_6$ (as 6T16) trivial
6.2.11114496.1 x6 - 2x5 - x4 + 4x3 - x2 - 2x - 5 $$2^{11}\cdot 3^{4}\cdot 67$$ $C_3^2:D_4$ (as 6T13) trivial
6.2.11573248.1 x6 - 2x5 - 3x4 + 4x3 + 5x2 - 2x - 5 $$2^{11}\cdot 5651$$ $S_6$ (as 6T16) trivial
6.2.11933696.2 x6 - 2x5 + 3x4 - 8x3 + 9x2 - 6x + 1 $$2^{11}\cdot 5827$$ $S_6$ (as 6T16) trivial
6.0.12544000.1 x6 + 8x4 + 16x2 + 10 $$-\,2^{11}\cdot 5^{3}\cdot 7^{2}$$ $D_{6}$ (as 6T3) $[2]$
6.0.13133824.4 x6 + 6x4 + 8x2 + 106 $$-\,2^{11}\cdot 11^{2}\cdot 53$$ $S_4\times C_2$ (as 6T11) $[2]$
6.2.13162496.2 x6 - 6x4 - 4x3 + 4x2 - 2 $$2^{11}\cdot 6427$$ $S_6$ (as 6T16) trivial
6.2.13342720.1 x6 - 2x5 - x4 + 8x3 - 13x2 + 10x - 5 $$2^{11}\cdot 5\cdot 1303$$ $S_6$ (as 6T16) trivial
6.2.13572096.1 x6 - 2x5 + 3x4 + 8x3 - 17x2 + 26x - 7 $$2^{11}\cdot 3\cdot 47^{2}$$ $S_6$ (as 6T16) trivial
6.4.14018560.3 x6 + 2x4 - 12x2 + 10 $$-\,2^{11}\cdot 5\cdot 37^{2}$$ $S_4\times C_2$ (as 6T11) trivial
6.2.14047232.2 x6 - 2x4 - 38 $$2^{11}\cdot 19^{3}$$ $S_4\times C_2$ (as 6T11) trivial
6.2.14047232.3 x6 + 4x4 + 4x2 - 38 $$2^{11}\cdot 19^{3}$$ $D_{6}$ (as 6T3) trivial
6.4.14477312.1 x6 - 2x4 - 4x3 - 4x2 + 8x + 4 $$-\,2^{11}\cdot 7069$$ $S_6$ (as 6T16) trivial
6.2.14653440.1 x6 - 4x4 - 4x3 - 2x2 - 4x - 2 $$2^{11}\cdot 3^{3}\cdot 5\cdot 53$$ $C_3^2:D_4$ (as 6T13) trivial
6.0.15116288.1 x6 - 8x4 - 8x2 + 122 $$-\,2^{11}\cdot 11^{2}\cdot 61$$ $S_4\times C_2$ (as 6T11) $[2]$
6.2.15980544.1 x6 + 2x4 + 4x2 - 6 $$2^{11}\cdot 3^{3}\cdot 17^{2}$$ $D_{6}$ (as 6T3) trivial
6.4.17197056.1 x6 - 2x5 - x4 - 3x2 + 2x + 1 $$-\,2^{11}\cdot 3^{3}\cdot 311$$ $C_3^2:D_4$ (as 6T13) trivial
6.2.17307648.1 x6 - 2x5 - 3x4 + 8x3 + 15x2 + 10x + 1 $$2^{11}\cdot 3^{3}\cdot 313$$ $C_3^2:D_4$ (as 6T13) trivial
6.2.17766400.1 x6 - 2x5 - x4 + 3x2 + 18x - 7 $$2^{11}\cdot 5^{2}\cdot 347$$ $S_6$ (as 6T16) trivial
6.4.17917952.1 x6 - 2x5 + x4 - 5x2 + 2x + 1 $$-\,2^{11}\cdot 13\cdot 673$$ $S_6$ (as 6T16) trivial
6.2.19077120.1 x6 - 2x5 + x4 - 3x2 - 6x + 3 $$2^{11}\cdot 3^{4}\cdot 5\cdot 23$$ $C_3^2:D_4$ (as 6T13) trivial
6.0.19081216.3 x6 + 12x4 + 44x2 + 154 $$-\,2^{11}\cdot 7\cdot 11^{3}$$ $S_4\times C_2$ (as 6T11) $[2]$
6.2.19961856.2 x6 - 6x4 + 36x2 - 54 $$2^{11}\cdot 3^{3}\cdot 19^{2}$$ $D_{6}$ (as 6T3) trivial