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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
3.15.16.1 $x^{15} + 6 x^{2} + 3$ $3$ $15$ $1$ $16$ $C_3^4:F_5$ (as 15T42) $[6/5]$ $[6/5, 6/5, 6/5, 6/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{2} + 3$
3.15.18.2 $x^{15} + 6 x^{5} + 3 x^{4} + 3$ $3$ $15$ $1$ $18$ $C_3^4:F_5$ (as 15T42) $[7/5]$ $[7/5, 7/5, 7/5, 7/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{5} + 3 x^{4} + 3$
3.15.18.4 $x^{15} + 3 x^{5} + 3 x^{4} + 3$ $3$ $15$ $1$ $18$ $C_3^4:F_5$ (as 15T42) $[7/5]$ $[7/5, 7/5, 7/5, 7/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{5} + 3 x^{4} + 3$
3.15.18.6 $x^{15} + 6 x^{6} + 3 x^{4} + 3$ $3$ $15$ $1$ $18$ $C_3^4:F_5$ (as 15T42) $[7/5]$ $[7/5, 7/5, 7/5, 7/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{6} + 3 x^{4} + 3$
3.15.22.1 $x^{15} + 6 x^{12} + 6 x^{11} + 6 x^{8} + 3$ $3$ $15$ $1$ $22$ $C_3^4:F_5$ (as 15T42) $[9/5]$ $[9/5, 9/5, 9/5, 9/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{12} + 6 x^{11} + 6 x^{8} + 3$
3.15.22.15 $x^{15} + 6 x^{10} + 6 x^{8} + 3 x^{6} + 3 x^{3} + 3$ $3$ $15$ $1$ $22$ $C_3^4:F_5$ (as 15T42) $[9/5]$ $[9/5, 9/5, 9/5, 9/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{10} + 6 x^{8} + 3 x^{6} + 3 x^{3} + 3$
3.15.22.19 $x^{15} + 3 x^{12} + 6 x^{11} + 3 x^{10} + 6 x^{9} + 6 x^{8} + 3$ $3$ $15$ $1$ $22$ $C_3^4:F_5$ (as 15T42) $[9/5]$ $[9/5, 9/5, 9/5, 9/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{12} + 6 x^{11} + 3 x^{10} + 6 x^{9} + 6 x^{8} + 3$
3.15.22.2 $x^{15} + 3 x^{12} + 6 x^{11} + 3 x^{10} + 3 x^{9} + 6 x^{8} + 3$ $3$ $15$ $1$ $22$ $C_3^4:F_5$ (as 15T42) $[9/5]$ $[9/5, 9/5, 9/5, 9/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{12} + 6 x^{11} + 3 x^{10} + 3 x^{9} + 6 x^{8} + 3$
3.15.22.21 $x^{15} + 3 x^{9} + 6 x^{8} + 3 x^{6} + 3 x^{3} + 3$ $3$ $15$ $1$ $22$ $C_3^4:F_5$ (as 15T42) $[9/5]$ $[9/5, 9/5, 9/5, 9/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{9} + 6 x^{8} + 3 x^{6} + 3 x^{3} + 3$
3.15.22.3 $x^{15} + 6 x^{12} + 6 x^{10} + 3 x^{9} + 6 x^{8} + 3 x^{6} + 6 x^{3} + 3$ $3$ $15$ $1$ $22$ $C_3^4:F_5$ (as 15T42) $[9/5]$ $[9/5, 9/5, 9/5, 9/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{12} + 6 x^{10} + 3 x^{9} + 6 x^{8} + 3 x^{6} + 6 x^{3} + 3$
3.15.22.4 $x^{15} + 3 x^{11} + 6 x^{8} + 3$ $3$ $15$ $1$ $22$ $C_3^4:F_5$ (as 15T42) $[9/5]$ $[9/5, 9/5, 9/5, 9/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{11} + 6 x^{8} + 3$
3.15.22.7 $x^{15} + 3 x^{12} + 6 x^{10} + 6 x^{8} + 3 x^{6} + 6 x^{3} + 3$ $3$ $15$ $1$ $22$ $C_3^4:F_5$ (as 15T42) $[9/5]$ $[9/5, 9/5, 9/5, 9/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{12} + 6 x^{10} + 6 x^{8} + 3 x^{6} + 6 x^{3} + 3$
3.15.22.9 $x^{15} + 3 x^{12} + 3 x^{10} + 3 x^{9} + 6 x^{8} + 3$ $3$ $15$ $1$ $22$ $C_3^4:F_5$ (as 15T42) $[9/5]$ $[9/5, 9/5, 9/5, 9/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{12} + 3 x^{10} + 3 x^{9} + 6 x^{8} + 3$
3.15.28.1 $x^{15} + 6 x^{14} + 3 x^{9} + 18 x^{6} + 9 x^{5} + 9 x^{3} + 18 x^{2} + 3$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T42) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 3 x^{9} + 18 x^{6} + 9 x^{5} + 9 x^{3} + 18 x^{2} + 3$
3.15.28.100 $x^{15} + 6 x^{14} + 3 x^{12} + 6 x^{9} + 18 x^{4} + 9 x^{3} + 9 x^{2} + 21$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T42) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 3 x^{12} + 6 x^{9} + 18 x^{4} + 9 x^{3} + 9 x^{2} + 21$
3.15.28.101 $x^{15} + 6 x^{14} + 6 x^{12} + 3 x^{9} + 18 x^{6} + 18 x^{5} + 9 x^{3} + 3$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T42) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{12} + 3 x^{9} + 18 x^{6} + 18 x^{5} + 9 x^{3} + 3$
3.15.28.118 $x^{15} + 6 x^{14} + 6 x^{9} + 9 x^{4} + 21$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T42) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{9} + 9 x^{4} + 21$
3.15.28.133 $x^{15} + 6 x^{14} + 9 x^{3} + 18 x^{2} + 3$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T42) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 9 x^{3} + 18 x^{2} + 3$
3.15.28.134 $x^{15} + 6 x^{14} + 3 x^{6} + 9 x^{5} + 18 x^{4} + 15 x^{3} + 18 x + 3$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T42) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 3 x^{6} + 9 x^{5} + 18 x^{4} + 15 x^{3} + 18 x + 3$
3.15.28.135 $x^{15} + 6 x^{14} + 3 x^{9} + 9 x^{6} + 9 x^{5} + 18 x^{3} + 18 x^{2} + 3$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T42) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 3 x^{9} + 9 x^{6} + 9 x^{5} + 18 x^{3} + 18 x^{2} + 3$
3.15.28.136 $x^{15} + 6 x^{14} + 6 x^{9} + 18 x^{6} + 18 x^{3} + 18 x^{2} + 3$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T42) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{9} + 18 x^{6} + 18 x^{3} + 18 x^{2} + 3$
3.15.28.167 $x^{15} + 6 x^{14} + 6 x^{12} + 6 x^{9} + 9 x^{6} + 9 x^{5} + 9 x^{4} + 18 x^{3} + 3$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T42) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{12} + 6 x^{9} + 9 x^{6} + 9 x^{5} + 9 x^{4} + 18 x^{3} + 3$
3.15.28.175 $x^{15} + 6 x^{14} + 3 x^{12} + 12 x^{6} + 9 x^{5} + 9 x^{4} + 24 x^{3} + 9 x^{2} + 18 x + 21$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T42) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 3 x^{12} + 12 x^{6} + 9 x^{5} + 9 x^{4} + 24 x^{3} + 9 x^{2} + 18 x + 21$
3.15.28.176 $x^{15} + 6 x^{14} + 6 x^{9} + 18 x^{6} + 18 x^{5} + 9 x^{4} + 9 x^{3} + 18 x^{2} + 3$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T42) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{9} + 18 x^{6} + 18 x^{5} + 9 x^{4} + 9 x^{3} + 18 x^{2} + 3$
3.15.28.180 $x^{15} + 6 x^{14} + 6 x^{12} + 3 x^{9} + 9 x^{5} + 18 x^{4} + 9 x^{3} + 9 x^{2} + 21$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T42) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{12} + 3 x^{9} + 9 x^{5} + 18 x^{4} + 9 x^{3} + 9 x^{2} + 21$
3.15.28.187 $x^{15} + 6 x^{14} + 6 x^{12} + 12 x^{6} + 18 x^{5} + 9 x^{4} + 24 x^{3} + 9 x^{2} + 18 x + 21$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T42) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{12} + 12 x^{6} + 18 x^{5} + 9 x^{4} + 24 x^{3} + 9 x^{2} + 18 x + 21$
3.15.28.192 $x^{15} + 6 x^{14} + 18 x^{6} + 9 x^{5} + 18 x^{4} + 18 x^{3} + 18 x^{2} + 12$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T42) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 18 x^{6} + 9 x^{5} + 18 x^{4} + 18 x^{3} + 18 x^{2} + 12$
3.15.28.195 $x^{15} + 6 x^{14} + 6 x^{12} + 3 x^{6} + 21 x^{3} + 9 x^{2} + 9 x + 21$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T42) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{12} + 3 x^{6} + 21 x^{3} + 9 x^{2} + 9 x + 21$
3.15.28.196 $x^{15} + 6 x^{14} + 6 x^{12} + 6 x^{9} + 9 x^{5} + 18 x^{2} + 3$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T42) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{12} + 6 x^{9} + 9 x^{5} + 18 x^{2} + 3$
3.15.28.23 $x^{15} + 6 x^{14} + 3 x^{12} + 3 x^{9} + 18 x^{6} + 18 x^{5} + 9 x^{4} + 18 x^{3} + 12$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T42) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 3 x^{12} + 3 x^{9} + 18 x^{6} + 18 x^{5} + 9 x^{4} + 18 x^{3} + 12$
3.15.28.278 $x^{15} + 6 x^{14} + 3 x^{9} + 18 x^{6} + 18 x^{5} + 9 x^{2} + 3$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T42) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 3 x^{9} + 18 x^{6} + 18 x^{5} + 9 x^{2} + 3$
3.15.28.33 $x^{15} + 6 x^{14} + 6 x^{9} + 18 x^{6} + 18 x^{5} + 18 x^{3} + 9 x^{2} + 3$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T42) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{9} + 18 x^{6} + 18 x^{5} + 18 x^{3} + 9 x^{2} + 3$
3.15.28.47 $x^{15} + 6 x^{14} + 3 x^{9} + 18 x^{6} + 9 x^{4} + 9 x^{3} + 9 x^{2} + 21$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T42) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 3 x^{9} + 18 x^{6} + 9 x^{4} + 9 x^{3} + 9 x^{2} + 21$
3.15.28.57 $x^{15} + 6 x^{14} + 6 x^{12} + 21 x^{6} + 9 x^{4} + 3 x^{3} + 9 x^{2} + 9 x + 21$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T42) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{12} + 21 x^{6} + 9 x^{4} + 3 x^{3} + 9 x^{2} + 9 x + 21$
3.15.28.6 $x^{15} + 6 x^{14} + 18 x^{6} + 9 x^{5} + 18 x^{4} + 9 x^{3} + 9 x^{2} + 21$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T42) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 18 x^{6} + 9 x^{5} + 18 x^{4} + 9 x^{3} + 9 x^{2} + 21$
3.15.28.64 $x^{15} + 6 x^{14} + 3 x^{9} + 18 x^{6} + 9 x^{5} + 9 x^{2} + 3$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T42) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 3 x^{9} + 18 x^{6} + 9 x^{5} + 9 x^{2} + 3$
3.15.28.66 $x^{15} + 6 x^{14} + 3 x^{12} + 6 x^{9} + 9 x^{6} + 9 x^{4} + 18 x^{2} + 12$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T42) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 3 x^{12} + 6 x^{9} + 9 x^{6} + 9 x^{4} + 18 x^{2} + 12$
3.15.28.7 $x^{15} + 6 x^{14} + 3 x^{9} + 18 x^{6} + 18 x^{3} + 18 x^{2} + 21$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T42) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 3 x^{9} + 18 x^{6} + 18 x^{3} + 18 x^{2} + 21$
3.15.28.89 $x^{15} + 6 x^{14} + 6 x^{12} + 3 x^{9} + 18 x^{6} + 18 x^{3} + 9 x^{2} + 3$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T42) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{12} + 3 x^{9} + 18 x^{6} + 18 x^{3} + 9 x^{2} + 3$
3.15.28.98 $x^{15} + 6 x^{14} + 6 x^{9} + 9 x^{6} + 18 x^{5} + 18 x^{4} + 9 x^{2} + 3$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T42) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{9} + 9 x^{6} + 18 x^{5} + 18 x^{4} + 9 x^{2} + 3$
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