## Results (1-50 of 110157 matches)

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Label Polynomial Discriminant Galois group Class group
6.2.287296.2 $x^{6} - 2 x^{5} + 3 x^{4} - 4 x^{3} + 2 x^{2} - 2 x - 1$ $2^{6}\cdot 67^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.341056.1 $x^{6} - 2 x^{5} + 4 x^{4} - 4 x^{3} + 3 x^{2} - 2 x - 1$ $2^{6}\cdot 73^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.426409.1 $x^{6} - 2 x^{5} + 2 x^{4} - x^{3} - 2 x^{2} + x - 2$ $653^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.678976.1 $x^{6} - 2 x^{5} + 2 x^{4} - 4 x^{3} + x^{2} - 2 x - 1$ $2^{6}\cdot 103^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.732736.3 $x^{6} - 2 x^{5} - 2 x^{4} + 6 x^{3} + x^{2} - 6 x + 1$ $2^{6}\cdot 107^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.1000000.1 $x^{6} - 2 x^{5} - 5 x^{2} - 2 x - 1$ $2^{6}\cdot 5^{6}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.1125721.1 $x^{6} - x^{5} + x^{4} + 3 x^{3} - 5 x^{2} + 5 x - 3$ $1061^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.1132096.1 $x^{6} - 2 x^{5} + x^{4} - 4 x^{3} - 2 x - 1$ $2^{6}\cdot 7^{2}\cdot 19^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.1784896.1 $x^{6} - 2 x^{5} - 3 x^{4} + 6 x^{3} + 2 x^{2} - 6 x + 1$ $2^{6}\cdot 167^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.1907161.1 $x^{6} - x^{5} + x^{4} - 7 x^{3} - 7 x^{2} - x + 1$ $1381^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.1993744.1 $x^{6} - x^{5} - 3 x^{4} + x^{3} + 4 x + 4$ $2^{4}\cdot 353^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.2005056.1 $x^{6} - 2 x^{5} + 2 x^{4} - 2 x^{3} - 5 x^{2} - 3$ $2^{6}\cdot 3^{2}\cdot 59^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.2271049.1 $x^{6} - x^{5} - 3 x^{4} - x^{3} - x^{2} - 3 x - 1$ $11^{2}\cdot 137^{2}$ $\PSL(2,5)$ (as 6T12) $[2]$
6.2.2334784.1 $x^{6} + 2 x^{4} - 2 x^{3} + 5 x^{2} + 6 x + 1$ $2^{6}\cdot 191^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.2383936.1 $x^{6} - 2 x^{5} + 5 x^{4} - 4 x^{3} + 4 x^{2} - 2 x - 1$ $2^{6}\cdot 193^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.2411809.1 $x^{6} - x^{5} - 3 x^{4} + 4 x^{2} + 1$ $1553^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.2572816.1 $x^{6} - x^{5} - x^{4} + 3 x^{3} - 4 x^{2} + 2 x - 2$ $2^{4}\cdot 401^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.2640625.1 $x^{6} - x^{5} - 5 x^{4} - 5 x^{3} + 3 x + 2$ $5^{6}\cdot 13^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.2676496.1 $x^{6} - x^{5} + x^{4} + x^{3} - 4 x^{2} + 2 x - 2$ $2^{4}\cdot 409^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.2689600.1 $x^{6} - 2 x^{5} + 2 x^{4} + 4 x^{3} - 11 x^{2} + 10 x - 5$ $2^{6}\cdot 5^{2}\cdot 41^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.2849344.1 $x^{6} - 2 x^{5} + 2 x^{4} - 3 x^{2} - 2 x - 1$ $2^{6}\cdot 211^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.2903616.1 $x^{6} + 2 x^{4} - 2 x^{3} - 7 x^{2} - 6 x - 3$ $2^{6}\cdot 3^{2}\cdot 71^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.3003289.1 $x^{6} - 2 x^{5} + 2 x^{4} + x^{3} - 5 x^{2} + 4 x - 3$ $1733^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.3125824.1 $x^{6} - 2 x^{5} + 4 x^{4} - 4 x^{3} - 3 x^{2} + 2 x - 7$ $2^{6}\cdot 13^{2}\cdot 17^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.3272481.2 $x^{6} - 3 x^{5} + 3 x^{4} + 4 x^{3} - 12 x^{2} + 12 x - 3$ $3^{6}\cdot 67^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.3794704.1 $x^{6} - x^{5} - x^{4} - x^{3} - 2 x^{2} + 2 x + 6$ $2^{4}\cdot 487^{2}$ $\PSL(2,5)$ (as 6T12) $[2]$
6.2.4116841.1 $x^{6} - x^{5} - x^{4} + 5 x^{3} - 5 x^{2} + 3 x + 1$ $2029^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.4214809.1 $x^{6} - 2 x^{4} - 3 x^{3} - 7 x + 4$ $2053^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.4338889.1 $x^{6} - 2 x^{5} + x^{4} - x^{3} + 2 x^{2} + 4 x + 1$ $2083^{2}$ $\PSL(2,5)$ (as 6T12) $[2]$
6.2.4494400.1 $x^{6} - 2 x^{5} - 2 x^{3} + 5 x^{2} + 2 x - 3$ $2^{6}\cdot 5^{2}\cdot 53^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.4840000.1 $x^{6} - 2 x^{5} - 3 x^{4} + 4 x^{3} + 6 x^{2} - 8 x - 3$ $2^{6}\cdot 5^{4}\cdot 11^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.4950625.2 $x^{6} - x^{5} - 2 x^{4} + 3 x^{3} + x^{2} - 9 x + 8$ $5^{4}\cdot 89^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.5058001.1 $x^{6} - 2 x^{5} - 3 x^{3} + 4 x^{2} + 7 x + 2$ $13^{2}\cdot 173^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.5094049.1 $x^{6} - 2 x^{5} + x^{4} - 5 x^{3} + 2 x^{2} + 4 x + 1$ $37^{2}\cdot 61^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.5257849.1 $x^{6} - 3 x^{5} + 5 x^{4} - x^{3} - 5 x^{2} + 3 x + 1$ $2293^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.5271616.1 $x^{6} - 2 x^{5} - 2 x^{4} + 8 x^{3} + 7 x^{2} - 4 x - 5$ $2^{6}\cdot 7^{2}\cdot 41^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.5326864.1 $x^{6} - x^{5} - x^{4} - x^{3} - 2 x^{2} - 2$ $2^{4}\cdot 577^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.5345344.1 $x^{6} - 2 x^{5} + 3 x^{4} - 4 x^{2} + 4 x - 3$ $2^{6}\cdot 17^{4}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.5419584.1 $x^{6} - 2 x^{5} - 4 x^{4} + 6 x^{3} + 9 x^{2} - 18 x + 9$ $2^{6}\cdot 3^{2}\cdot 97^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.5721664.1 $x^{6} - 2 x^{5} + 5 x^{4} - 8 x^{3} - 6 x - 17$ $2^{6}\cdot 13^{2}\cdot 23^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.6031936.3 $x^{6} - 4 x^{4} - 2 x^{3} + 5 x^{2} + 8 x + 3$ $2^{6}\cdot 307^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.6270016.1 $x^{6} - 2 x^{5} - 8 x^{3} + 19 x^{2} - 8 x - 3$ $2^{6}\cdot 313^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.6270016.2 $x^{6} - 2 x^{5} + 4 x^{4} - 2 x^{3} + 5 x^{2} + 4 x - 2$ $2^{6}\cdot 313^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.6661561.1 $x^{6} - 2 x^{5} + 5 x^{4} - 3 x^{3} + x^{2} + x - 2$ $29^{2}\cdot 89^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.6806881.1 $x^{6} - 3 x^{5} + x^{4} + 3 x^{3} + x^{2} + 3 x - 13$ $2609^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.6974881.1 $x^{6} - x^{5} - 2 x^{4} - 13 x^{3} - 7 x^{2} - x + 1$ $19^{2}\cdot 139^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.7011904.3 $x^{6} - 2 x^{5} + x^{4} + 2 x^{2} + 4 x + 1$ $2^{6}\cdot 331^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.7123561.1 $x^{6} - x^{5} + 3 x^{4} + 3 x^{3} + 8 x^{2} + 7 x - 2$ $17^{2}\cdot 157^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.7139584.1 $x^{6} - 2 x^{4} - 4 x^{3} - 3 x^{2} - 4 x + 8$ $2^{8}\cdot 167^{2}$ $\PSL(2,5)$ (as 6T12) trivial
6.2.7327849.1 $x^{6} - x^{5} + x^{4} - 5 x^{3} + 3 x^{2} + 3 x - 1$ $2707^{2}$ $\PSL(2,5)$ (as 6T12) $[2]$
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