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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
5.15.21.45 $x^{15} + 15 x^{9} + 15 x^{8} + 10 x^{7} + 15 x^{5} + 5$ $5$ $15$ $1$ $21$ $C_9^2\times C_{54}$ (as 15T49) $[19/12]$ $[5/4, 19/12, 19/12]_{12}^{2}$ $t + 3$ $x^{15} + 15 x^{9} + 15 x^{8} + 10 x^{7} + 15 x^{5} + 5$
5.15.21.46 $x^{15} + 15 x^{9} + 15 x^{8} + 15 x^{7} + 5$ $5$ $15$ $1$ $21$ $C_9^2\times C_{54}$ (as 15T49) $[19/12]$ $[5/4, 19/12, 19/12]_{12}^{2}$ $t + 3$ $x^{15} + 15 x^{9} + 15 x^{8} + 15 x^{7} + 5$
5.15.21.47 $x^{15} + 10 x^{9} + 5 x^{8} + 5 x^{7} + 20 x^{5} + 5$ $5$ $15$ $1$ $21$ $C_9^2\times C_{54}$ (as 15T49) $[19/12]$ $[5/4, 19/12, 19/12]_{12}^{2}$ $t + 3$ $x^{15} + 10 x^{9} + 5 x^{8} + 5 x^{7} + 20 x^{5} + 5$
5.15.21.48 $x^{15} + 5 x^{8} + 5 x^{7} + 15 x^{5} + 5$ $5$ $15$ $1$ $21$ $C_9^2\times C_{54}$ (as 15T49) $[19/12]$ $[5/4, 19/12, 19/12]_{12}^{2}$ $t + 3$ $x^{15} + 5 x^{8} + 5 x^{7} + 15 x^{5} + 5$
5.15.21.49 $x^{15} + 20 x^{9} + 20 x^{8} + 20 x^{7} + 5$ $5$ $15$ $1$ $21$ $C_9^2\times C_{54}$ (as 15T49) $[19/12]$ $[5/4, 19/12, 19/12]_{12}^{2}$ $t + 3$ $x^{15} + 20 x^{9} + 20 x^{8} + 20 x^{7} + 5$
5.15.21.50 $x^{15} + 15 x^{9} + 15 x^{8} + 20 x^{7} + 5$ $5$ $15$ $1$ $21$ $C_9^2\times C_{54}$ (as 15T49) $[19/12]$ $[5/4, 19/12, 19/12]_{12}^{2}$ $t + 3$ $x^{15} + 15 x^{9} + 15 x^{8} + 20 x^{7} + 5$
5.15.21.51 $x^{15} + 15 x^{9} + 15 x^{8} + 10 x^{7} + 5 x^{5} + 5$ $5$ $15$ $1$ $21$ $C_9^2\times C_{54}$ (as 15T49) $[19/12]$ $[5/4, 19/12, 19/12]_{12}^{2}$ $t + 3$ $x^{15} + 15 x^{9} + 15 x^{8} + 10 x^{7} + 5 x^{5} + 5$
5.15.21.52 $x^{15} + 5 x^{9} + 10 x^{7} + 5 x^{5} + 5$ $5$ $15$ $1$ $21$ $C_9^2\times C_{54}$ (as 15T49) $[19/12]$ $[5/4, 19/12, 19/12]_{12}^{2}$ $t + 3$ $x^{15} + 5 x^{9} + 10 x^{7} + 5 x^{5} + 5$
5.15.21.53 $x^{15} + 10 x^{9} + 20 x^{8} + 15 x^{7} + 5$ $5$ $15$ $1$ $21$ $C_9^2\times C_{54}$ (as 15T49) $[19/12]$ $[5/4, 19/12, 19/12]_{12}^{2}$ $t + 3$ $x^{15} + 10 x^{9} + 20 x^{8} + 15 x^{7} + 5$
5.15.21.54 $x^{15} + 10 x^{9} + 10 x^{8} + 20 x^{7} + 5$ $5$ $15$ $1$ $21$ $C_9^2\times C_{54}$ (as 15T49) $[19/12]$ $[5/4, 19/12, 19/12]_{12}^{2}$ $t + 3$ $x^{15} + 10 x^{9} + 10 x^{8} + 20 x^{7} + 5$
5.15.21.56 $x^{15} + 20 x^{9} + 5 x^{8} + 5 x^{7} + 5$ $5$ $15$ $1$ $21$ $C_9^2\times C_{54}$ (as 15T49) $[19/12]$ $[5/4, 19/12, 19/12]_{12}^{2}$ $t + 3$ $x^{15} + 20 x^{9} + 5 x^{8} + 5 x^{7} + 5$
5.15.21.57 $x^{15} + 15 x^{9} + 15 x^{8} + 20 x^{7} + 15 x^{5} + 5$ $5$ $15$ $1$ $21$ $C_9^2\times C_{54}$ (as 15T49) $[19/12]$ $[5/4, 19/12, 19/12]_{12}^{2}$ $t + 3$ $x^{15} + 15 x^{9} + 15 x^{8} + 20 x^{7} + 15 x^{5} + 5$
5.15.21.58 $x^{15} + 15 x^{9} + 5 x^{8} + 15 x^{7} + 15 x^{5} + 5$ $5$ $15$ $1$ $21$ $C_9^2\times C_{54}$ (as 15T49) $[19/12]$ $[5/4, 19/12, 19/12]_{12}^{2}$ $t + 3$ $x^{15} + 15 x^{9} + 5 x^{8} + 15 x^{7} + 15 x^{5} + 5$
5.15.21.59 $x^{15} + 10 x^{9} + 10 x^{7} + 15 x^{5} + 5$ $5$ $15$ $1$ $21$ $C_9^2\times C_{54}$ (as 15T49) $[19/12]$ $[5/4, 19/12, 19/12]_{12}^{2}$ $t + 3$ $x^{15} + 10 x^{9} + 10 x^{7} + 15 x^{5} + 5$
5.15.21.61 $x^{15} + 15 x^{9} + 5 x^{8} + 15 x^{7} + 5$ $5$ $15$ $1$ $21$ $C_9^2\times C_{54}$ (as 15T49) $[19/12]$ $[5/4, 19/12, 19/12]_{12}^{2}$ $t + 3$ $x^{15} + 15 x^{9} + 5 x^{8} + 15 x^{7} + 5$
5.15.21.64 $x^{15} + 20 x^{8} + 5 x^{7} + 5$ $5$ $15$ $1$ $21$ $C_9^2\times C_{54}$ (as 15T49) $[19/12]$ $[5/4, 19/12, 19/12]_{12}^{2}$ $t + 3$ $x^{15} + 20 x^{8} + 5 x^{7} + 5$
5.15.23.1 $x^{15} + 15 x^{12} + 10 x^{11} + 5 x^{10} + 10 x^{9} + 5 x^{5} + 5$ $5$ $15$ $1$ $23$ $C_9^2\times C_{54}$ (as 15T49) $[7/4]$ $[13/12, 13/12, 7/4]_{12}^{2}$ $t + 3$ $x^{15} + 15 x^{12} + 10 x^{11} + 5 x^{10} + 10 x^{9} + 5 x^{5} + 5$
5.15.23.10 $x^{15} + 5 x^{12} + 10 x^{11} + 20 x^{10} + 5 x^{9} + 5 x^{5} + 5$ $5$ $15$ $1$ $23$ $C_9^2\times C_{54}$ (as 15T49) $[7/4]$ $[13/12, 13/12, 7/4]_{12}^{2}$ $t + 3$ $x^{15} + 5 x^{12} + 10 x^{11} + 20 x^{10} + 5 x^{9} + 5 x^{5} + 5$
5.15.23.11 $x^{15} + 5 x^{12} + 5 x^{11} + 20 x^{10} + 5 x^{9} + 20 x^{5} + 5$ $5$ $15$ $1$ $23$ $C_9^2\times C_{54}$ (as 15T49) $[7/4]$ $[13/12, 13/12, 7/4]_{12}^{2}$ $t + 3$ $x^{15} + 5 x^{12} + 5 x^{11} + 20 x^{10} + 5 x^{9} + 20 x^{5} + 5$
5.15.23.12 $x^{15} + 20 x^{12} + 10 x^{10} + 5 x^{9} + 5$ $5$ $15$ $1$ $23$ $C_9^2\times C_{54}$ (as 15T49) $[7/4]$ $[13/12, 13/12, 7/4]_{12}^{2}$ $t + 3$ $x^{15} + 20 x^{12} + 10 x^{10} + 5 x^{9} + 5$
5.15.23.14 $x^{15} + 15 x^{12} + 10 x^{11} + 15 x^{9} + 15 x^{5} + 5$ $5$ $15$ $1$ $23$ $C_9^2\times C_{54}$ (as 15T49) $[7/4]$ $[13/12, 13/12, 7/4]_{12}^{2}$ $t + 3$ $x^{15} + 15 x^{12} + 10 x^{11} + 15 x^{9} + 15 x^{5} + 5$
5.15.23.15 $x^{15} + 5 x^{12} + 20 x^{11} + 20 x^{10} + 20 x^{9} + 5 x^{5} + 5$ $5$ $15$ $1$ $23$ $C_9^2\times C_{54}$ (as 15T49) $[7/4]$ $[13/12, 13/12, 7/4]_{12}^{2}$ $t + 3$ $x^{15} + 5 x^{12} + 20 x^{11} + 20 x^{10} + 20 x^{9} + 5 x^{5} + 5$
5.15.23.16 $x^{15} + 5 x^{12} + 10 x^{10} + 10 x^{9} + 20 x^{5} + 5$ $5$ $15$ $1$ $23$ $C_9^2\times C_{54}$ (as 15T49) $[7/4]$ $[13/12, 13/12, 7/4]_{12}^{2}$ $t + 3$ $x^{15} + 5 x^{12} + 10 x^{10} + 10 x^{9} + 20 x^{5} + 5$
5.15.23.17 $x^{15} + 5 x^{12} + 20 x^{10} + 15 x^{9} + 15 x^{5} + 5$ $5$ $15$ $1$ $23$ $C_9^2\times C_{54}$ (as 15T49) $[7/4]$ $[13/12, 13/12, 7/4]_{12}^{2}$ $t + 3$ $x^{15} + 5 x^{12} + 20 x^{10} + 15 x^{9} + 15 x^{5} + 5$
5.15.23.18 $x^{15} + 10 x^{11} + 20 x^{10} + 15 x^{9} + 5 x^{5} + 5$ $5$ $15$ $1$ $23$ $C_9^2\times C_{54}$ (as 15T49) $[7/4]$ $[13/12, 13/12, 7/4]_{12}^{2}$ $t + 3$ $x^{15} + 10 x^{11} + 20 x^{10} + 15 x^{9} + 5 x^{5} + 5$
5.15.23.19 $x^{15} + 10 x^{12} + 15 x^{11} + 15 x^{10} + 10 x^{9} + 5$ $5$ $15$ $1$ $23$ $C_9^2\times C_{54}$ (as 15T49) $[7/4]$ $[13/12, 13/12, 7/4]_{12}^{2}$ $t + 3$ $x^{15} + 10 x^{12} + 15 x^{11} + 15 x^{10} + 10 x^{9} + 5$
5.15.23.2 $x^{15} + 15 x^{12} + 5 x^{10} + 15 x^{9} + 10 x^{5} + 5$ $5$ $15$ $1$ $23$ $C_9^2\times C_{54}$ (as 15T49) $[7/4]$ $[13/12, 13/12, 7/4]_{12}^{2}$ $t + 3$ $x^{15} + 15 x^{12} + 5 x^{10} + 15 x^{9} + 10 x^{5} + 5$
5.15.23.20 $x^{15} + 5 x^{12} + 5 x^{11} + 10 x^{10} + 10 x^{9} + 5$ $5$ $15$ $1$ $23$ $C_9^2\times C_{54}$ (as 15T49) $[7/4]$ $[13/12, 13/12, 7/4]_{12}^{2}$ $t + 3$ $x^{15} + 5 x^{12} + 5 x^{11} + 10 x^{10} + 10 x^{9} + 5$
5.15.23.3 $x^{15} + 15 x^{11} + 20 x^{10} + 20 x^{9} + 5$ $5$ $15$ $1$ $23$ $C_9^2\times C_{54}$ (as 15T49) $[7/4]$ $[13/12, 13/12, 7/4]_{12}^{2}$ $t + 3$ $x^{15} + 15 x^{11} + 20 x^{10} + 20 x^{9} + 5$
5.15.23.4 $x^{15} + 10 x^{12} + 15 x^{11} + 20 x^{9} + 5 x^{5} + 5$ $5$ $15$ $1$ $23$ $C_9^2\times C_{54}$ (as 15T49) $[7/4]$ $[13/12, 13/12, 7/4]_{12}^{2}$ $t + 3$ $x^{15} + 10 x^{12} + 15 x^{11} + 20 x^{9} + 5 x^{5} + 5$
5.15.23.6 $x^{15} + 10 x^{12} + 10 x^{11} + 5 x^{10} + 20 x^{9} + 5$ $5$ $15$ $1$ $23$ $C_9^2\times C_{54}$ (as 15T49) $[7/4]$ $[13/12, 13/12, 7/4]_{12}^{2}$ $t + 3$ $x^{15} + 10 x^{12} + 10 x^{11} + 5 x^{10} + 20 x^{9} + 5$
5.15.23.7 $x^{15} + 15 x^{12} + 10 x^{11} + 20 x^{10} + 5 x^{9} + 5$ $5$ $15$ $1$ $23$ $C_9^2\times C_{54}$ (as 15T49) $[7/4]$ $[13/12, 13/12, 7/4]_{12}^{2}$ $t + 3$ $x^{15} + 15 x^{12} + 10 x^{11} + 20 x^{10} + 5 x^{9} + 5$
5.15.25.1 $x^{15} + 10 x^{14} + 20 x^{13} + 10 x^{11} + 10 x^{10} + 5$ $5$ $15$ $1$ $25$ $C_9^2\times C_{54}$ (as 15T49) $[23/12]$ $[5/4, 23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 20 x^{13} + 10 x^{11} + 10 x^{10} + 5$
5.15.25.10 $x^{15} + 15 x^{14} + 5 x^{13} + 5 x^{12} + 20 x^{11} + 10 x^{10} + 5 x^{5} + 5$ $5$ $15$ $1$ $25$ $C_9^2\times C_{54}$ (as 15T49) $[23/12]$ $[5/4, 23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 15 x^{14} + 5 x^{13} + 5 x^{12} + 20 x^{11} + 10 x^{10} + 5 x^{5} + 5$
5.15.25.100 $x^{15} + 10 x^{14} + 15 x^{11} + 15 x^{10} + 5$ $5$ $15$ $1$ $25$ $C_9^2\times C_{54}$ (as 15T49) $[23/12]$ $[5/4, 23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 15 x^{11} + 15 x^{10} + 5$
5.15.25.11 $x^{15} + 15 x^{14} + 15 x^{11} + 20 x^{10} + 5 x^{5} + 5$ $5$ $15$ $1$ $25$ $C_9^2\times C_{54}$ (as 15T49) $[23/12]$ $[5/4, 23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 15 x^{14} + 15 x^{11} + 20 x^{10} + 5 x^{5} + 5$
5.15.25.12 $x^{15} + 10 x^{14} + 20 x^{12} + 15 x^{11} + 20 x^{10} + 10 x^{5} + 5$ $5$ $15$ $1$ $25$ $C_9^2\times C_{54}$ (as 15T49) $[23/12]$ $[5/4, 23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 20 x^{12} + 15 x^{11} + 20 x^{10} + 10 x^{5} + 5$
5.15.25.13 $x^{15} + 10 x^{14} + 10 x^{12} + 10 x^{11} + 5 x^{10} + 5 x^{5} + 5$ $5$ $15$ $1$ $25$ $C_9^2\times C_{54}$ (as 15T49) $[23/12]$ $[5/4, 23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 10 x^{12} + 10 x^{11} + 5 x^{10} + 5 x^{5} + 5$
5.15.25.14 $x^{15} + 20 x^{13} + 15 x^{12} + 10 x^{11} + 20 x^{10} + 10 x^{5} + 5$ $5$ $15$ $1$ $25$ $C_9^2\times C_{54}$ (as 15T49) $[23/12]$ $[5/4, 23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 20 x^{13} + 15 x^{12} + 10 x^{11} + 20 x^{10} + 10 x^{5} + 5$
5.15.25.15 $x^{15} + 5 x^{14} + 10 x^{13} + 5 x^{12} + 10 x^{11} + 5 x^{10} + 5$ $5$ $15$ $1$ $25$ $C_9^2\times C_{54}$ (as 15T49) $[23/12]$ $[5/4, 23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 5 x^{14} + 10 x^{13} + 5 x^{12} + 10 x^{11} + 5 x^{10} + 5$
5.15.25.16 $x^{15} + 20 x^{14} + 10 x^{13} + 20 x^{12} + 15 x^{11} + 20 x^{10} + 10 x^{5} + 5$ $5$ $15$ $1$ $25$ $C_9^2\times C_{54}$ (as 15T49) $[23/12]$ $[5/4, 23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 20 x^{14} + 10 x^{13} + 20 x^{12} + 15 x^{11} + 20 x^{10} + 10 x^{5} + 5$
5.15.25.17 $x^{15} + 10 x^{14} + 5 x^{13} + 20 x^{12} + 20 x^{11} + 5 x^{10} + 10 x^{5} + 5$ $5$ $15$ $1$ $25$ $C_9^2\times C_{54}$ (as 15T49) $[23/12]$ $[5/4, 23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 5 x^{13} + 20 x^{12} + 20 x^{11} + 5 x^{10} + 10 x^{5} + 5$
5.15.25.18 $x^{15} + 20 x^{11} + 15 x^{10} + 20 x^{5} + 5$ $5$ $15$ $1$ $25$ $C_9^2\times C_{54}$ (as 15T49) $[23/12]$ $[5/4, 23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 20 x^{11} + 15 x^{10} + 20 x^{5} + 5$
5.15.25.19 $x^{15} + 5 x^{14} + 15 x^{13} + 20 x^{12} + 5 x^{11} + 5 x^{10} + 10 x^{5} + 5$ $5$ $15$ $1$ $25$ $C_9^2\times C_{54}$ (as 15T49) $[23/12]$ $[5/4, 23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 5 x^{14} + 15 x^{13} + 20 x^{12} + 5 x^{11} + 5 x^{10} + 10 x^{5} + 5$
5.15.25.2 $x^{15} + 5 x^{14} + 15 x^{13} + 15 x^{11} + 20 x^{10} + 20 x^{5} + 5$ $5$ $15$ $1$ $25$ $C_9^2\times C_{54}$ (as 15T49) $[23/12]$ $[5/4, 23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 5 x^{14} + 15 x^{13} + 15 x^{11} + 20 x^{10} + 20 x^{5} + 5$
5.15.25.20 $x^{15} + 15 x^{14} + 5 x^{12} + 20 x^{11} + 20 x^{10} + 20 x^{5} + 5$ $5$ $15$ $1$ $25$ $C_9^2\times C_{54}$ (as 15T49) $[23/12]$ $[5/4, 23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 15 x^{14} + 5 x^{12} + 20 x^{11} + 20 x^{10} + 20 x^{5} + 5$
5.15.25.21 $x^{15} + 10 x^{14} + 15 x^{13} + 5 x^{12} + 10 x^{11} + 10 x^{5} + 5$ $5$ $15$ $1$ $25$ $C_9^2\times C_{54}$ (as 15T49) $[23/12]$ $[5/4, 23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 15 x^{13} + 5 x^{12} + 10 x^{11} + 10 x^{5} + 5$
5.15.25.22 $x^{15} + 5 x^{14} + 10 x^{13} + 20 x^{12} + 10 x^{11} + 10 x^{10} + 10 x^{5} + 5$ $5$ $15$ $1$ $25$ $C_9^2\times C_{54}$ (as 15T49) $[23/12]$ $[5/4, 23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 5 x^{14} + 10 x^{13} + 20 x^{12} + 10 x^{11} + 10 x^{10} + 10 x^{5} + 5$
5.15.25.23 $x^{15} + 5 x^{14} + 10 x^{13} + 15 x^{11} + 20 x^{10} + 5$ $5$ $15$ $1$ $25$ $C_9^2\times C_{54}$ (as 15T49) $[23/12]$ $[5/4, 23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 5 x^{14} + 10 x^{13} + 15 x^{11} + 20 x^{10} + 5$
5.15.25.25 $x^{15} + 10 x^{14} + 15 x^{13} + 5 x^{12} + 10 x^{11} + 5 x^{10} + 5 x^{5} + 5$ $5$ $15$ $1$ $25$ $C_9^2\times C_{54}$ (as 15T49) $[23/12]$ $[5/4, 23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 15 x^{13} + 5 x^{12} + 10 x^{11} + 5 x^{10} + 5 x^{5} + 5$
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