## Results (21 matches)

Label Polynomial Discriminant Galois group Class group
9.1.79082438656.1 $x^{9} - 3 x^{8} + 12 x^{6} - 14 x^{5} - 2 x^{4} + 12 x^{2} + \cdots + 1$ $2^{14}\cdot 13^{6}$ $\PSL(2,8)$ (as 9T27) trivial
9.1.1450463739904.1 $x^{9} - x^{8} + 12 x^{6} - 12 x^{5} - 28 x^{4} + 48 x^{3} + \cdots - 1$ $2^{14}\cdot 97^{4}$ $\PSL(2,8)$ (as 9T27) $[7]$
9.1.2312735309824.1 $x^{9} - x^{8} - 16 x^{6} + 36 x^{5} - 12 x^{4} - 8 x^{3} - 3 x - 1$ $2^{14}\cdot 109^{4}$ $\PSL(2,8)$ (as 9T27) $[7]$
9.1.2671367962624.1 $x^{9} + 4 x^{7} - 10 x^{5} - 12 x^{4} + 12 x^{2} + 10 x + 4$ $2^{14}\cdot 113^{4}$ $\PSL(2,8)$ (as 9T27) $[7]$
9.1.4169931445681.1 $x^{9} + x^{7} - 4 x^{6} - 12 x^{4} - x^{3} - 7 x^{2} - x - 1$ $1429^{4}$ $\PSL(2,8)$ (as 9T27) $[7]$
9.1.4262209798144.1 $x^{9} - x^{8} + 8 x^{7} - 18 x^{6} + 28 x^{5} - 56 x^{4} + 68 x^{3} + \cdots - 6$ $2^{14}\cdot 127^{4}$ $\PSL(2,8)$ (as 9T27) $[7]$
9.1.6029426229121.1 $x^{9} - 2 x^{8} + 10 x^{7} - 25 x^{6} + 34 x^{5} - 40 x^{4} + \cdots - 4$ $1567^{4}$ $\PSL(2,8)$ (as 9T27) $[7]$
9.1.6116164255744.1 $x^{9} + 8 x^{7} - 16 x^{6} + 30 x^{5} - 64 x^{4} + 80 x^{3} + \cdots - 4$ $2^{14}\cdot 139^{4}$ $\PSL(2,8)$ (as 9T27) $[7]$
9.1.6347497291776.1 $x^{9} - 6 x^{6} + 18 x^{5} - 18 x^{4} + 36 x^{3} + 18 x^{2} + \cdots + 22$ $2^{14}\cdot 3^{18}$ $\PSL(2,8)$ (as 9T27) $[7]$
9.1.6769201929361.1 $x^{9} - 2 x^{8} + 6 x^{6} - 8 x^{5} - 12 x^{4} + 12 x^{3} + \cdots + 1$ $1613^{4}$ $\PSL(2,8)$ (as 9T27) $[7]$
9.1.8075418025984.1 $x^{9} - 4 x^{8} + 10 x^{5} + 20 x^{4} - 72 x^{3} - 8 x^{2} + \cdots - 128$ $2^{14}\cdot 149^{4}$ $\PSL(2,8)$ (as 9T27) $[7]$
9.1.8215383330001.1 $x^{9} - 18 x^{7} - 2 x^{6} + 85 x^{5} + 24 x^{4} - 8 x^{3} + \cdots - 14$ $1693^{4}$ $\PSL(2,8)$ (as 9T27) $[7]$
9.1.8517805686784.1 $x^{9} - 2 x^{8} + 2 x^{7} + 10 x^{6} - 18 x^{5} + 30 x^{4} + \cdots + 152$ $2^{14}\cdot 151^{4}$ $\PSL(2,8)$ (as 9T27) $[7]$
9.1.15904215784081.1 $x^{9} - 3 x^{8} + 4 x^{6} + 5 x^{5} - 18 x^{4} + 23 x^{3} + \cdots - 4$ $1997^{4}$ $\PSL(2,8)$ (as 9T27) $[7]$
9.1.114290809913344.1 $x^{9} + 34 x^{5} - 136 x^{4} + 272 x^{3} - 340 x^{2} + \cdots - 68$ $2^{14}\cdot 17^{8}$ $\PSL(2,8)$ (as 9T27) $[7]$
9.1.514147280633856.1 $x^{9} - 12 x^{6} - 18 x^{5} + 36 x^{2} - 27 x - 128$ $2^{14}\cdot 3^{22}$ $\PSL(2,8)$ (as 9T27) $[7]$
9.1.41645929731342336.1 $x^{9} - 36 x^{6} - 54 x^{5} + 432 x^{3} + 324 x^{2} + \cdots - 1152$ $2^{14}\cdot 3^{26}$ $\PSL(2,8)$ (as 9T27) $[7]$
9.1.41645929731342336.2 $x^{9} - 36 x^{6} - 54 x^{5} - 324 x^{4} - 216 x^{3} + \cdots - 2124$ $2^{14}\cdot 3^{26}$ $\PSL(2,8)$ (as 9T27) $[7]$
9.1.180...376.1 $x^{9} - 444 x^{6} - 4662 x^{5} - 27972 x^{4} + \cdots - 26643404$ $2^{14}\cdot 3^{22}\cdot 37^{8}$ $\PSL(2,8)$ (as 9T27) $[63]$
9.9.163...809.1 $x^{9} - 3 x^{8} - 12000 x^{7} - 295072 x^{6} + \cdots - 1186350537195$ $3^{4}\cdot 37^{6}\cdot 2977717^{4}$ $\PSL(2,8)$ (as 9T27) $[21]$
9.9.823...136.1 $x^{9} - x^{8} - 46044 x^{7} + 2290792 x^{6} + \cdots + 75\!\cdots\!91$ $2^{6}\cdot 7^{10}\cdot 37^{8}\cdot 263^{4}\cdot 1283^{4}$ $\PSL(2,8)$ (as 9T27) $[9]$