Learn more

Refine search


Results (3 matches)

  displayed columns for results
Label Polynomial Discriminant Galois group Class group Regulator
17.1.133...504.1 $x^{17} - 3 x^{16} - 4 x^{14} + 12 x^{13} + 24 x^{12} + 12 x^{11} - 28 x^{10} - 90 x^{9} - 74 x^{8} + 116 x^{6} + 132 x^{5} + 72 x^{4} + 28 x^{3} + 12 x^{2} + 5 x + 1$ $2^{30}\cdot 137^{8}$ $\PSL(2,16)$ (as 17T6) $[15]$ $810656.541895$
17.1.861...144.1 $x^{17} - x^{16} - 4 x^{15} + 2 x^{14} + 54 x^{13} - 6 x^{12} - 36 x^{11} + 16 x^{10} + 714 x^{9} + 1238 x^{8} + 484 x^{7} - 764 x^{6} - 1084 x^{5} + 520 x^{4} + 668 x^{3} - 776 x^{2} + 382 x - 74$ $2^{30}\cdot 173^{8}$ $\PSL(2,16)$ (as 17T6) $[15]$ $781146.759847$
17.1.264...424.1 $x^{17} - 2 x^{16} - 14 x^{15} + 16 x^{14} + 116 x^{13} - 92 x^{12} - 520 x^{11} - 12 x^{10} + 612 x^{9} - 1488 x^{8} - 1540 x^{7} - 180 x^{6} + 1580 x^{5} - 1192 x^{4} + 1608 x^{3} - 844 x^{2} + 122 x - 40$ $2^{30}\cdot 199^{8}$ $\PSL(2,16)$ (as 17T6) $[15]$ $5943625.48287$
  displayed columns for results