Learn more about

Further refine search

Results (displaying matches 1-50 of 6360) Next

Label Polynomial Discriminant Galois group Class group
8.2.22665187.2 x8 - x7 + x6 - 2x5 + x4 - 9x3 + 7x2 - 6x + 1 \( -\,283^{3} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.22665187.3 x8 - 3x7 + 4x6 - 8x5 + 8x4 - x3 + 2x2 - 3x - 1 \( -\,283^{3} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.32019867.1 x8 - 4x7 + 7x6 - 7x5 + 7x4 - 7x3 + 2x2 + x - 1 \( -\,3^{7}\cdot 11^{4} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.32019867.2 x8 - x7 + x6 - 2x5 - x4 - 2x3 + x2 - x + 1 \( -\,3^{7}\cdot 11^{4} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.36264691.2 x8 - 4x7 + 5x6 - x5 - 3x4 + 3x3 - x - 1 \( -\,331^{3} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.36264691.3 x8 - 2x7 + 3x6 - 7x4 + 17x3 - 17x2 + 11x - 1 \( -\,331^{3} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.81415168.2 x8 - 4x7 + 8x6 - 8x5 + 6x3 - 2x2 - 2 \( -\,2^{10}\cdot 43^{3} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.81415168.3 x8 - 4x7 + 10x6 - 14x5 + 10x4 + 2x3 - 10x2 + 8x - 2 \( -\,2^{10}\cdot 43^{3} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.110716875.1 x8 - 4x7 + 5x6 - x5 - 2x4 + x3 + 4x2 - 4x - 1 \( -\,3^{11}\cdot 5^{4} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.110716875.2 x8 - 4x7 + 7x6 - 7x5 + 4x4 - x3 - 4x2 + 4x - 1 \( -\,3^{11}\cdot 5^{4} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.118370771.2 x8 - 2x7 - x5 + 7x3 + x - 9 \( -\,491^{3} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.118370771.3 x8 - 3x7 + 7x6 - 10x5 + 11x4 - 5x3 + 3x2 - 2x - 3 \( -\,491^{3} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.150730227.3 x8 - 2x7 + 2x6 - x5 + 2x4 + x3 - 5x2 + 4x - 1 \( -\,3^{7}\cdot 41^{3} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.150730227.4 x8 + 2x6 - 2x5 - 3x4 - 7x3 - 11x2 - 6x - 1 \( -\,3^{7}\cdot 41^{3} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.150730227.5 x8 - 4x7 + 7x6 - 6x5 - 3x4 + 9x3 - x2 - 5x - 1 \( -\,3^{7}\cdot 41^{3} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.150730227.6 x8 - x7 + x6 + 5x5 - 11x4 + 8x3 - 7x2 + 4x - 1 \( -\,3^{7}\cdot 41^{3} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.178453547.1 x8 - x7 - 2x6 + 6x5 - 11x3 + 5x2 + 8x - 3 \( -\,563^{3} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.178453547.2 x8 - 2x7 + 3x6 + x5 - 4x4 + 12x3 - 7x2 + 2x - 9 \( -\,563^{3} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.181398528.1 x8 - 6x4 + 4x2 - 3 \( -\,2^{10}\cdot 3^{11} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.181398528.2 x8 - 2x6 - 2x5 - 2x3 - 2x2 + 1 \( -\,2^{10}\cdot 3^{11} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.182660427.1 x8 - 4x7 + 7x6 - 7x5 + 4x4 - x3 + 4x2 - 4x + 1 \( -\,3^{7}\cdot 17^{4} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.182660427.2 x8 - x7 + 4x6 - 4x5 - 2x4 - 4x3 - 5x2 - x + 1 \( -\,3^{7}\cdot 17^{4} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.265847707.1 x8 - 2x7 + 3x6 + x5 - 7x4 + 18x3 - 12x2 + 4x - 1 \( -\,643^{3} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.265847707.2 x8 - x7 - x6 + 5x5 - 3x4 + 2x3 - 6x2 + 9x - 1 \( -\,643^{3} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.286557184.3 x8 + 5x6 + 6x4 - 3x2 - 1 \( -\,2^{10}\cdot 23^{4} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.286557184.4 x8 - 5x6 + 6x4 + 3x2 - 1 \( -\,2^{10}\cdot 23^{4} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.325660672.2 x8 - 2x7 + 4x6 - 12x5 + 16x4 - 18x3 + 10x2 - 1 \( -\,2^{12}\cdot 43^{3} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.325660672.3 x8 - 2x7 + 6x6 - 12x5 + 16x4 - 10x3 - 4x2 + 4x - 1 \( -\,2^{12}\cdot 43^{3} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.423564751.1 x8 - x7 - 2x6 + 4x5 - 9x4 + 17x3 - 21x2 + 7x - 4 \( -\,751^{3} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.423564751.2 x8 - 2x7 + 2x6 - 4x5 - 4x4 + 20x3 - 14x2 + 13x - 4 \( -\,751^{3} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.425329947.1 x8 - x7 - 3x6 + 2x5 + 4x4 + 3x3 - 5x2 - 7x - 3 \( -\,3^{11}\cdot 7^{4} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.425329947.2 x8 - 6x4 - x2 - 3 \( -\,3^{11}\cdot 7^{4} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.725594112.1 x8 - 6x4 - 4x2 - 3 \( -\,2^{12}\cdot 3^{11} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.725594112.2 x8 - 4x6 + 12x2 - 12 \( -\,2^{12}\cdot 3^{11} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.941391011.1 x8 + 2x6 - 9x4 + 6x2 - 11 \( -\,11^{3}\cdot 29^{4} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.941391011.2 x8 - 2x7 - 2x6 + 17x5 - 32x4 + 31x3 - 15x2 + 4x - 1 \( -\,11^{3}\cdot 29^{4} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.999406512.1 x8 - 4x7 + 7x6 - 7x5 - 2x4 + 11x3 - 2x2 - 4x - 2 \( -\,2^{4}\cdot 3^{7}\cdot 13^{4} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.999406512.2 x8 - 4x7 + x6 + 11x5 - 11x4 - x3 + 4x2 - x - 2 \( -\,2^{4}\cdot 3^{7}\cdot 13^{4} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.1280239375.1 x8 - 4x7 + 10x6 - 16x5 + 18x4 - 14x3 + 4x2 + x - 1 \( -\,5^{4}\cdot 127^{3} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.1280239375.2 x8 - 2x7 + 5x5 - 6x4 - 10x3 + 21x2 + 5x - 13 \( -\,5^{4}\cdot 127^{3} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.1327373299.2 x8 - 3x7 + 2x6 - 3x4 + 11x3 - 13x2 + 15x - 11 \( -\,7^{3}\cdot 157^{3} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.1327373299.3 x8 - x7 - 2x6 - 6x5 + 10x4 + 15x3 - 6x2 - 5x - 7 \( -\,7^{3}\cdot 157^{3} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.1327373299.4 x8 - 6x6 - 5x5 + 19x4 + 21x3 - 18x2 - 36x - 5 \( -\,7^{3}\cdot 157^{3} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.1327373299.5 x8 - x7 - 4x6 + 4x5 + 4x4 - 9x3 + 2x2 - 3x - 5 \( -\,7^{3}\cdot 157^{3} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.1399680000.1 x8 - 6x4 - 12x2 - 3 \( -\,2^{10}\cdot 3^{7}\cdot 5^{4} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.1399680000.2 x8 - 6x6 + 12x4 - 6x3 - 6x2 + 18x - 3 \( -\,2^{10}\cdot 3^{7}\cdot 5^{4} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.1626347584.1 x8 - x7 - x6 - 4x5 + 6x4 - 4x3 - x2 - x + 1 \( -\,2^{6}\cdot 71^{4} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.1626347584.2 x8 - 8x6 + 19x4 - 16x2 - 4 \( -\,2^{6}\cdot 71^{4} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.1673730583.1 x8 - 4x7 + 6x6 - 4x5 + 2x3 - 4x2 + 3x - 4 \( -\,7^{3}\cdot 47^{4} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial
8.2.1673730583.2 x8 - 4x7 + 12x6 - 22x5 + 32x4 - 32x3 + 8x2 + 5x - 2 \( -\,7^{3}\cdot 47^{4} \) $\textrm{GL(2,3)}$ (as 8T23) Trivial

Next

Download all search results for