## Results (1-50 of 669 matches)

Label Polynomial Discriminant Galois group Class group
7.1.844691575.1 x7 - x6 + 6x5 - 7x4 + x3 - 9x2 - 7x + 28 $-\,5^{2}\cdot 7\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.1.1655595487.1 x7 - 3x6 + 2x5 + 6x4 + 3x3 - 16x2 - 7x - 7 $-\,7^{3}\cdot 13^{6}$ $D_{7}$ (as 7T2) trivial
7.1.2471326208.1 x7 - 2x6 - 2x5 - 4x4 + 3x3 - 2x2 - 6x - 4 $-\,2^{9}\cdot 13^{6}$ $D_{7}$ (as 7T2) trivial
7.1.6424482779.1 x7 - 3x6 + 2x5 - 7x4 + 42x3 - 3x2 - 267x + 344 $-\,11^{3}\cdot 13^{6}$ $D_{7}$ (as 7T2) trivial
7.1.16290480375.1 x7 - 2x6 - 2x5 + 22x4 - 23x3 + 76x2 - 6x + 9 $-\,3^{3}\cdot 5^{3}\cdot 13^{6}$ $D_{7}$ (as 7T2) trivial
7.1.16681451904.1 x7 - x6 - 7x5 + 19x4 + 27x3 - 61x2 - 33x + 67 $-\,2^{7}\cdot 3^{3}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.3.23477598976.1 x7 - x6 - 7x5 - 7x4 + 27x3 + 69x2 - 85x - 37 $2^{8}\cdot 13^{6}\cdot 19$ $S_7$ (as 7T7) trivial
7.1.24631206327.1 x7 - 3x6 + 15x5 - 20x4 - 36x3 - 3x2 + 84x + 45 $-\,3^{6}\cdot 7\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.1.33107082931.1 x7 - 13x5 - 13x4 + 130x3 + 221x2 - 234x - 468 $-\,13^{6}\cdot 19^{3}$ $D_{7}$ (as 7T2) trivial
7.1.38614472000.1 x7 - x6 + 6x5 - 20x4 + x3 + 43x2 - 20x - 50 $-\,2^{6}\cdot 5^{3}\cdot 13^{6}$ $D_{7}$ (as 7T2) trivial
7.3.48871441125.1 x7 - 13x4 - 26x3 - 39x2 - 39x - 13 $3^{4}\cdot 5^{3}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.3.50044355712.1 x7 - x6 + 6x5 - 20x4 + x3 - 9x2 + 6x + 2 $2^{7}\cdot 3^{4}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.1.66725807616.1 x7 - x6 + 19x5 - 7x4 + 118x3 - 22x2 + 240x - 24 $-\,2^{9}\cdot 3^{3}\cdot 13^{6}$ $D_{7}$ (as 7T2) trivial
7.1.66725807616.2 x7 - x6 - 7x5 + 19x4 - 12x3 + 4x2 - 20x + 28 $-\,2^{9}\cdot 3^{3}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.1.66725807616.3 x7 - x6 + 6x5 - 20x4 + 27x3 - 87x2 + 97x - 167 $-\,2^{9}\cdot 3^{3}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.1.66725807616.4 x7 - 3x6 + 15x5 - 7x4 + 42x3 + 36x2 + 162x + 162 $-\,2^{9}\cdot 3^{3}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.3.66725807616.1 x7 - 2x6 - 2x5 - 4x4 - 36x3 + 24x2 + 72x + 48 $2^{9}\cdot 3^{3}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.3.66725807616.2 x7 - 2x6 - 15x5 + 22x4 - 36x3 + 24x2 - 6x - 4 $2^{9}\cdot 3^{3}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.1.81124178863.1 x7 - 3x6 - 11x5 + 32x4 + 3x3 - 94x2 + 136x - 72 $-\,7^{5}\cdot 13^{6}$ $F_7$ (as 7T4) trivial
7.1.105958111168.1 x7 - 3x6 + 2x5 - 20x4 + 81x3 + 23x2 - 384x + 448 $-\,2^{6}\cdot 7^{3}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.3.139012099200.1 x7 - x6 - 7x5 - 7x4 + 27x3 + 69x2 - 189x + 171 $2^{7}\cdot 3^{2}\cdot 5^{2}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.1.143795466919.1 x7 - 2x6 + 11x5 - 43x4 + 133x3 - 236x2 + 254x - 121 $-\,13^{6}\cdot 31^{3}$ $D_{7}$ (as 7T2) trivial
7.3.158343469245.1 x7 - x6 + 6x5 - 7x4 + x3 - 9x2 - 33x + 15 $3^{8}\cdot 5\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.3.173461035033.1 x7 - 2x6 - 2x5 + 35x4 - 114x3 + 180x2 - 84x + 9 $3^{3}\cdot 11^{3}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.1.178553318528.1 x7 - x6 - 7x5 + 19x4 + 27x3 - 35x2 + 19x + 41 $-\,2^{7}\cdot 13^{6}\cdot 17^{2}$ $S_7$ (as 7T7) $[2]$
7.1.200177422848.1 x7 - 2x6 + 11x5 + 22x4 - 23x3 - 54x2 - 45x + 126 $-\,2^{9}\cdot 3^{4}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.3.200177422848.1 x7 - 3x6 + 2x5 + 6x4 - 36x3 + 36x2 - 72x - 72 $2^{9}\cdot 3^{4}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.3.247132620800.1 x7 - x6 - 20x5 - 20x4 + 66x3 + 30x2 + 6x + 2 $2^{11}\cdot 5^{2}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.1.253349550792.1 x7 - x6 + 6x5 - 7x4 + 40x3 - 87x2 + 32x - 128 $-\,2^{3}\cdot 3^{8}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.1.253349550792.2 x7 - x6 + 6x5 - 7x4 + 40x3 + 30x2 + 32x - 128 $-\,2^{3}\cdot 3^{8}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.1.266903230464.1 x7 - 2x6 - 2x5 - 4x4 + 68x3 + 24x2 + 72x - 368 $-\,2^{11}\cdot 3^{3}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.1.337799401056.1 x7 - x6 + 6x5 - 20x4 - 25x3 - 9x2 + 162x + 54 $-\,2^{5}\cdot 3^{7}\cdot 13^{6}$ $S_7$ (as 7T7) $[2]$
7.1.370853389088.1 x7 - x6 + 6x5 - 46x4 - 12x3 + 56x2 - 72x - 128 $-\,2^{5}\cdot 7^{4}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.3.402309703341.1 x7 - x6 - 20x5 - 7x4 + 157x3 + 290x2 + 84x - 63 $3^{5}\cdot 7^{3}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.1.450399201408.1 x7 - 3x6 + 15x5 - 7x4 + 42x3 + 114x2 + 136x - 72 $-\,2^{7}\cdot 3^{6}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.1.450399201408.2 x7 - x6 - 7x5 + 19x4 - 25x3 + 17x2 - 33x + 93 $-\,2^{7}\cdot 3^{6}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.3.450399201408.1 x7 - 2x6 - 15x5 - 4x4 + 146x3 + 24x2 - 656x + 568 $2^{7}\cdot 3^{6}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.3.450399201408.2 x7 - 2x6 - 15x5 + 48x4 + 120x3 - 288x2 - 864x - 576 $2^{7}\cdot 3^{6}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.3.450399201408.3 x7 - x6 + 19x5 - 7x4 + 40x3 - 22x2 - 72x - 24 $2^{7}\cdot 3^{6}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.3.450399201408.4 x7 - 2x6 + 24x5 + 48x4 - 75x3 + 24x2 + 150x + 48 $2^{7}\cdot 3^{6}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.3.463373664000.1 x7 - x6 + 6x5 + 58x4 - 90x3 - 152x2 - 46x + 2 $2^{8}\cdot 3\cdot 5^{3}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.3.484379936768.1 x7 - 3x6 - 11x5 - 7x4 - 49x3 - 237x2 + 409x + 1553 $2^{11}\cdot 7^{2}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.3.484379936768.2 x7 - 2x6 - 15x5 - 4x4 + 29x3 - 2x2 - 149x - 56 $2^{11}\cdot 7^{2}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.1.501133790807.1 x7 - x6 + 6x5 + 6x4 - 38x3 + 108x2 - 202x + 145 $-\,13^{6}\cdot 47^{3}$ $D_{7}$ (as 7T2) trivial
7.1.600532268544.1 x7 - 3x6 + 2x5 + 32x4 - 23x3 - 107x2 - 735x + 1943 $-\,2^{9}\cdot 3^{5}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.3.600532268544.1 x7 - 2x6 - 2x5 - 4x4 - 10x3 - 28x2 + 72x + 48 $2^{9}\cdot 3^{5}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.1.617831552000.1 x7 - x6 + 6x5 - 20x4 + 40x3 - 100x2 + 110x - 50 $-\,2^{10}\cdot 5^{3}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.3.617831552000.1 x7 - 78x4 + 13x3 + 260x2 - 130x + 130 $2^{10}\cdot 5^{3}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.1.724021350000.1 x7 - 3x6 + 2x5 - 20x4 + 55x3 - 29x2 + 162x - 228 $-\,2^{4}\cdot 3\cdot 5^{5}\cdot 13^{6}$ $S_7$ (as 7T7) trivial
7.1.756843651200.1 x7 - x6 + 6x5 - 20x4 + 40x3 - 48x2 + 32x - 24 $-\,2^{7}\cdot 5^{2}\cdot 7^{2}\cdot 13^{6}$ $S_7$ (as 7T7) trivial