| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 5.15.18.45 |
$15$ |
$x^{15} + 15 x^{5} + 15 x^{4} + 5$ |
$5$ |
$15$ |
$1$ |
$18$ |
$(C_5^2 : C_3):C_2$ (as 15T14) |
$2$ |
$3$ |
$[4/3]$ |
$[4/3, 4/3]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 15 x^{5} + 15 x^{4} + 5$ |
$[4, 0]$ |
$[2, 2]$ |
| 5.15.22.10 |
$15$ |
$x^{15} + 15 x^{10} + 10 x^{9} + 20 x^{8} + 5$ |
$5$ |
$15$ |
$1$ |
$22$ |
$(C_5^2 : C_3):C_2$ (as 15T14) |
$2$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 15 x^{10} + 10 x^{9} + 20 x^{8} + 5$ |
$[8, 0]$ |
$[2, 2]$ |
| 5.15.22.14 |
$15$ |
$x^{15} + 10 x^{10} + 20 x^{9} + 20 x^{8} + 20 x^{5} + 5$ |
$5$ |
$15$ |
$1$ |
$22$ |
$(C_5^2 : C_3):C_2$ (as 15T14) |
$2$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 10 x^{10} + 20 x^{9} + 20 x^{8} + 20 x^{5} + 5$ |
$[8, 0]$ |
$[2, 2]$ |
| 5.15.22.21 |
$15$ |
$x^{15} + 15 x^{9} + 20 x^{8} + 5$ |
$5$ |
$15$ |
$1$ |
$22$ |
$(C_5^2 : C_3):C_2$ (as 15T14) |
$2$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 15 x^{9} + 20 x^{8} + 5$ |
$[8, 0]$ |
$[2, 2]$ |
| 5.15.22.5 |
$15$ |
$x^{15} + 15 x^{10} + 5 x^{9} + 20 x^{8} + 5$ |
$5$ |
$15$ |
$1$ |
$22$ |
$(C_5^2 : C_3):C_2$ (as 15T14) |
$2$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 15 x^{10} + 5 x^{9} + 20 x^{8} + 5$ |
$[8, 0]$ |
$[2, 2]$ |
| 5.15.22.9 |
$15$ |
$x^{15} + 20 x^{10} + 20 x^{9} + 20 x^{8} + 5$ |
$5$ |
$15$ |
$1$ |
$22$ |
$(C_5^2 : C_3):C_2$ (as 15T14) |
$2$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 20 x^{10} + 20 x^{9} + 20 x^{8} + 5$ |
$[8, 0]$ |
$[2, 2]$ |
