Learn more about

Further refine search

Results (displaying matches 1-50 of 15542) Next

Label Polynomial Discriminant Galois group Class group
6.0.16807.1 x6 - x5 + x4 - x3 + x2 - x + 1 \( -\,7^{5} \) $C_6$ Trivial
6.0.19683.1 x6 - x3 + 1 \( -\,3^{9} \) $C_6$ Trivial
6.0.64827.1 x6 - x5 + 3x4 + 5x2 - 2x + 1 \( -\,3^{3}\cdot 7^{4} \) $C_6$ Trivial
6.0.153664.1 x6 + 5x4 + 6x2 + 1 \( -\,2^{6}\cdot 7^{4} \) $C_6$ Trivial
6.6.300125.1 x6 - x5 - 7x4 + 2x3 + 7x2 - 2x - 1 \( 5^{3}\cdot 7^{4} \) $C_6$ Trivial
6.6.371293.1 x6 - x5 - 5x4 + 4x3 + 6x2 - 3x - 1 \( 13^{5} \) $C_6$ Trivial
6.0.419904.1 x6 + 6x4 + 9x2 + 1 \( -\,2^{6}\cdot 3^{8} \) $C_6$ Trivial
6.6.453789.1 x6 - x5 - 6x4 + 6x3 + 8x2 - 8x + 1 \( 3^{3}\cdot 7^{5} \) $C_6$ Trivial
6.0.771147.1 x6 - x5 + 5x4 + 6x3 + 15x2 + 4x + 1 \( -\,3^{3}\cdot 13^{4} \) $C_6$ Trivial
6.6.820125.1 x6 - 9x4 - 4x3 + 9x2 + 3x - 1 \( 3^{8}\cdot 5^{3} \) $C_6$ Trivial
6.6.1075648.1 x6 - 7x4 + 14x2 - 7 \( 2^{6}\cdot 7^{5} \) $C_6$ Trivial
6.0.1229312.1 x6 + 10x4 + 24x2 + 8 \( -\,2^{9}\cdot 7^{4} \) $C_6$ Trivial
6.6.1229312.1 x6 - 10x4 + 24x2 - 8 \( 2^{9}\cdot 7^{4} \) $C_6$ Trivial
6.6.1259712.1 x6 - 6x4 + 9x2 - 3 \( 2^{6}\cdot 3^{9} \) $C_6$ Trivial
6.0.1827904.1 x6 + 9x4 + 14x2 + 1 \( -\,2^{6}\cdot 13^{4} \) $C_6$ $[3]$
6.0.2100875.1 x6 - x5 + 8x4 - 8x3 + 22x2 - 22x + 29 \( -\,5^{3}\cdot 7^{5} \) $C_6$ $[2]$
6.0.2250423.1 x6 + 9x4 - 5x3 + 36x2 - 12x + 8 \( -\,3^{8}\cdot 7^{3} \) $C_6$ Trivial
6.0.2460375.1 x6 + 6x4 - 4x3 + 9x2 - 12x + 19 \( -\,3^{9}\cdot 5^{3} \) $C_6$ $[2]$
6.0.2476099.1 x6 - x5 + 2x4 + 8x3 - x2 - 5x + 7 \( -\,19^{5} \) $C_6$ Trivial
6.0.3195731.1 x6 - x5 + 4x4 - 3x3 + 29x2 - 4x + 71 \( -\,7^{4}\cdot 11^{3} \) $C_6$ Trivial
6.0.3359232.1 x6 + 12x4 + 36x2 + 8 \( -\,2^{9}\cdot 3^{8} \) $C_6$ $[3]$
6.6.3359232.1 x6 - 12x4 + 36x2 - 8 \( 2^{9}\cdot 3^{8} \) $C_6$ Trivial
6.0.3518667.1 x6 - x5 + 7x4 - 8x3 + 43x2 - 42x + 49 \( -\,3^{3}\cdot 19^{4} \) $C_6$ $[3]$
6.6.3570125.1 x6 - x5 - 12x4 + 13x3 + 19x2 - 10x - 5 \( 5^{3}\cdot 13^{4} \) $C_6$ Trivial
6.6.4148928.1 x6 - 2x5 - 12x4 + 18x3 + 23x2 - 16x + 1 \( 2^{6}\cdot 3^{3}\cdot 7^{4} \) $C_6$ Trivial
6.6.5274997.1 x6 - x5 - 14x4 + 9x3 + 35x2 - 16x - 1 \( 7^{4}\cdot 13^{3} \) $C_6$ Trivial
6.6.6751269.1 x6 - 12x4 - 5x3 + 36x2 + 30x + 1 \( 3^{9}\cdot 7^{3} \) $C_6$ Trivial
6.0.8103375.1 x6 - x5 + 7x4 - 5x3 + 49x2 - 9x + 139 \( -\,3^{3}\cdot 5^{3}\cdot 7^{4} \) $C_6$ $[2]$
6.0.8340544.1 x6 + 13x4 + 50x2 + 49 \( -\,2^{6}\cdot 19^{4} \) $C_6$ Trivial
6.0.8605184.1 x6 + 14x4 + 56x2 + 56 \( -\,2^{9}\cdot 7^{5} \) $C_6$ $[4]$
6.6.8605184.1 x6 - 14x4 + 56x2 - 56 \( 2^{9}\cdot 7^{5} \) $C_6$ Trivial
6.0.8732691.1 x6 - 3x5 + 6x4 - 5x3 + 33x2 - 54x + 111 \( -\,3^{8}\cdot 11^{3} \) $C_6$ $[3]$
6.0.9796423.1 x6 - x5 - 3x4 + 7x3 + 25x2 - 55x + 79 \( -\,7^{3}\cdot 13^{4} \) $C_6$ Trivial
6.0.10024911.1 x6 - x5 + 8x4 - 9x3 + 6x2 + 10x + 25 \( -\,3^{3}\cdot 13^{5} \) $C_6$ $[4]$
6.0.10077696.1 x6 + 12x4 + 36x2 + 24 \( -\,2^{9}\cdot 3^{9} \) $C_6$ $[2]$
6.6.10077696.1 x6 - 12x4 + 36x2 - 24 \( 2^{9}\cdot 3^{9} \) $C_6$ Trivial
6.6.11796113.1 x6 - x5 - 17x4 + 11x3 + 57x2 - 25x - 13 \( 7^{4}\cdot 17^{3} \) $C_6$ Trivial
6.6.14414517.1 x6 - 3x5 - 12x4 + 27x3 + 21x2 - 48x + 17 \( 3^{8}\cdot 13^{3} \) $C_6$ Trivial
6.0.14623232.1 x6 - 2x5 - x4 - 2x3 + 34x2 + 28x + 73 \( -\,2^{9}\cdot 13^{4} \) $C_6$ Trivial
6.6.14623232.1 x6 - 2x5 - 13x4 + 14x3 + 26x2 - 28x + 1 \( 2^{9}\cdot 13^{4} \) $C_6$ Trivial
6.6.16290125.1 x6 - x5 - 16x4 + x3 + 47x2 + 10x - 11 \( 5^{3}\cdot 19^{4} \) $C_6$ Trivial
6.0.16468459.1 x6 - x5 + 10x4 - 7x3 + 75x2 - 16x + 239 \( -\,7^{4}\cdot 19^{3} \) $C_6$ $[3]$
6.0.19208000.1 x6 - 2x5 + 12x4 - 14x3 + 87x2 - 64x + 281 \( -\,2^{6}\cdot 5^{3}\cdot 7^{4} \) $C_6$ $[6]$
6.6.22370117.1 x6 - x5 - 20x4 + 20x3 + 106x2 - 106x - 83 \( 7^{5}\cdot 11^{3} \) $C_6$ Trivial
6.0.23762752.1 x6 + 13x4 + 26x2 + 13 \( -\,2^{6}\cdot 13^{5} \) $C_6$ $[2]$
6.0.24935067.1 x6 - x5 + 11x4 - 6x3 + 108x2 - 80x + 64 \( -\,3^{3}\cdot 31^{4} \) $C_6$ Trivial
6.6.26198073.1 x6 - 18x4 - 8x3 + 81x2 + 72x - 17 \( 3^{9}\cdot 11^{3} \) $C_6$ Trivial
6.0.28629151.1 x6 - x5 + 3x4 - 11x3 + 44x2 - 36x + 32 \( -\,31^{5} \) $C_6$ $[9]$
6.0.29042496.1 x6 + 21x4 + 126x2 + 189 \( -\,2^{6}\cdot 3^{3}\cdot 7^{5} \) $C_6$ $[2, 2]$
6.0.29212967.1 x6 - x5 + 13x4 - 9x3 + 107x2 - 25x + 377 \( -\,7^{4}\cdot 23^{3} \) $C_6$ $[9]$

Next

Download all search results for