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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
3.15.16.4 $x^{15} + 3 x^{2} + 3$ $3$ $15$ $1$ $16$ $C_3^4:F_5$ (as 15T41) $[6/5]$ $[6/5, 6/5, 6/5, 6/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{2} + 3$
3.15.18.5 $x^{15} + 3 x^{5} + 6 x^{4} + 3$ $3$ $15$ $1$ $18$ $C_3^4:F_5$ (as 15T41) $[7/5]$ $[7/5, 7/5, 7/5, 7/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{5} + 6 x^{4} + 3$
3.15.18.7 $x^{15} + 3 x^{6} + 3 x^{5} + 6 x^{4} + 3 x^{3} + 3$ $3$ $15$ $1$ $18$ $C_3^4:F_5$ (as 15T41) $[7/5]$ $[7/5, 7/5, 7/5, 7/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{6} + 3 x^{5} + 6 x^{4} + 3 x^{3} + 3$
3.15.18.8 $x^{15} + 3 x^{5} + 6 x^{4} + 6 x^{3} + 3$ $3$ $15$ $1$ $18$ $C_3^4:F_5$ (as 15T41) $[7/5]$ $[7/5, 7/5, 7/5, 7/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{5} + 6 x^{4} + 6 x^{3} + 3$
3.15.22.11 $x^{15} + 3 x^{12} + 6 x^{10} + 6 x^{9} + 3 x^{8} + 3 x^{6} + 3 x^{3} + 3$ $3$ $15$ $1$ $22$ $C_3^4:F_5$ (as 15T41) $[9/5]$ $[9/5, 9/5, 9/5, 9/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{12} + 6 x^{10} + 6 x^{9} + 3 x^{8} + 3 x^{6} + 3 x^{3} + 3$
3.15.22.16 $x^{15} + 6 x^{10} + 6 x^{9} + 3 x^{8} + 3 x^{6} + 6 x^{3} + 3$ $3$ $15$ $1$ $22$ $C_3^4:F_5$ (as 15T41) $[9/5]$ $[9/5, 9/5, 9/5, 9/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{10} + 6 x^{9} + 3 x^{8} + 3 x^{6} + 6 x^{3} + 3$
3.15.22.17 $x^{15} + 3 x^{10} + 3 x^{8} + 3 x^{6} + 6 x^{3} + 3$ $3$ $15$ $1$ $22$ $C_3^4:F_5$ (as 15T41) $[9/5]$ $[9/5, 9/5, 9/5, 9/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{10} + 3 x^{8} + 3 x^{6} + 6 x^{3} + 3$
3.15.22.20 $x^{15} + 3 x^{11} + 6 x^{9} + 3 x^{8} + 3$ $3$ $15$ $1$ $22$ $C_3^4:F_5$ (as 15T41) $[9/5]$ $[9/5, 9/5, 9/5, 9/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{11} + 6 x^{9} + 3 x^{8} + 3$
3.15.22.24 $x^{15} + 6 x^{11} + 6 x^{10} + 3 x^{8} + 3$ $3$ $15$ $1$ $22$ $C_3^4:F_5$ (as 15T41) $[9/5]$ $[9/5, 9/5, 9/5, 9/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{11} + 6 x^{10} + 3 x^{8} + 3$
3.15.22.25 $x^{15} + 3 x^{11} + 3 x^{8} + 3$ $3$ $15$ $1$ $22$ $C_3^4:F_5$ (as 15T41) $[9/5]$ $[9/5, 9/5, 9/5, 9/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{11} + 3 x^{8} + 3$
3.15.22.26 $x^{15} + 6 x^{11} + 3 x^{8} + 3$ $3$ $15$ $1$ $22$ $C_3^4:F_5$ (as 15T41) $[9/5]$ $[9/5, 9/5, 9/5, 9/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{11} + 3 x^{8} + 3$
3.15.22.28 $x^{15} + 6 x^{11} + 3 x^{10} + 3 x^{8} + 3$ $3$ $15$ $1$ $22$ $C_3^4:F_5$ (as 15T41) $[9/5]$ $[9/5, 9/5, 9/5, 9/5]_{5}^{4}$ $t + 1$ $x^{15} + 6 x^{11} + 3 x^{10} + 3 x^{8} + 3$
3.15.22.33 $x^{15} + 3 x^{11} + 3 x^{10} + 3 x^{8} + 3$ $3$ $15$ $1$ $22$ $C_3^4:F_5$ (as 15T41) $[9/5]$ $[9/5, 9/5, 9/5, 9/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{11} + 3 x^{10} + 3 x^{8} + 3$
3.15.28.132 $x^{15} + 3 x^{14} + 6 x^{9} + 9 x^{4} + 9 x^{2} + 21$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T41) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 6 x^{9} + 9 x^{4} + 9 x^{2} + 21$
3.15.28.138 $x^{15} + 3 x^{14} + 3 x^{9} + 12 x^{6} + 18 x^{5} + 18 x^{4} + 21 x^{3} + 18 x^{2} + 9 x + 12$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T41) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{9} + 12 x^{6} + 18 x^{5} + 18 x^{4} + 21 x^{3} + 18 x^{2} + 9 x + 12$
3.15.28.147 $x^{15} + 3 x^{14} + 3 x^{12} + 3 x^{9} + 9 x^{6} + 9 x^{5} + 9 x^{2} + 12$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T41) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{12} + 3 x^{9} + 9 x^{6} + 9 x^{5} + 9 x^{2} + 12$
3.15.28.149 $x^{15} + 3 x^{14} + 12 x^{6} + 9 x^{5} + 18 x^{4} + 12 x^{3} + 9 x^{2} + 9 x + 12$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T41) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 12 x^{6} + 9 x^{5} + 18 x^{4} + 12 x^{3} + 9 x^{2} + 9 x + 12$
3.15.28.155 $x^{15} + 3 x^{14} + 6 x^{12} + 3 x^{6} + 9 x^{5} + 18 x^{4} + 3 x^{3} + 9 x + 21$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T41) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 6 x^{12} + 3 x^{6} + 9 x^{5} + 18 x^{4} + 3 x^{3} + 9 x + 21$
3.15.28.178 $x^{15} + 3 x^{14} + 12 x^{6} + 18 x^{5} + 6 x^{3} + 9 x^{2} + 18 x + 21$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T41) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 12 x^{6} + 18 x^{5} + 6 x^{3} + 9 x^{2} + 18 x + 21$
3.15.28.20 $x^{15} + 3 x^{14} + 6 x^{9} + 18 x^{6} + 9 x^{5} + 9 x^{4} + 9 x^{3} + 18 x^{2} + 12$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T41) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 6 x^{9} + 18 x^{6} + 9 x^{5} + 9 x^{4} + 9 x^{3} + 18 x^{2} + 12$
3.15.28.201 $x^{15} + 3 x^{14} + 3 x^{9} + 9 x^{6} + 9 x^{5} + 9 x^{3} + 21$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T41) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{9} + 9 x^{6} + 9 x^{5} + 9 x^{3} + 21$
3.15.28.203 $x^{15} + 3 x^{14} + 6 x^{9} + 3 x^{6} + 18 x^{5} + 18 x^{4} + 6 x^{3} + 18 x^{2} + 18 x + 12$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T41) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 6 x^{9} + 3 x^{6} + 18 x^{5} + 18 x^{4} + 6 x^{3} + 18 x^{2} + 18 x + 12$
3.15.28.212 $x^{15} + 3 x^{14} + 21 x^{6} + 18 x^{5} + 6 x^{3} + 18 x + 3$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T41) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 21 x^{6} + 18 x^{5} + 6 x^{3} + 18 x + 3$
3.15.28.221 $x^{15} + 3 x^{14} + 6 x^{12} + 3 x^{9} + 3 x^{6} + 18 x^{5} + 9 x^{4} + 24 x^{3} + 18 x^{2} + 18 x + 21$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T41) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 6 x^{12} + 3 x^{9} + 3 x^{6} + 18 x^{5} + 9 x^{4} + 24 x^{3} + 18 x^{2} + 18 x + 21$
3.15.28.240 $x^{15} + 3 x^{14} + 9 x^{6} + 18 x^{4} + 18 x^{3} + 18 x^{2} + 21$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T41) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 9 x^{6} + 18 x^{4} + 18 x^{3} + 18 x^{2} + 21$
3.15.28.245 $x^{15} + 3 x^{14} + 9 x^{6} + 9 x^{5} + 18 x^{4} + 18 x^{3} + 9 x^{2} + 3$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T41) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 9 x^{6} + 9 x^{5} + 18 x^{4} + 18 x^{3} + 9 x^{2} + 3$
3.15.28.260 $x^{15} + 3 x^{14} + 18 x^{4} + 18 x^{2} + 12$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T41) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 18 x^{4} + 18 x^{2} + 12$
3.15.28.282 $x^{15} + 3 x^{14} + 6 x^{9} + 9 x^{6} + 9 x^{5} + 9 x^{4} + 18 x^{3} + 9 x^{2} + 12$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T41) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 6 x^{9} + 9 x^{6} + 9 x^{5} + 9 x^{4} + 18 x^{3} + 9 x^{2} + 12$
3.15.28.286 $x^{15} + 3 x^{14} + 3 x^{12} + 3 x^{6} + 9 x^{5} + 3 x^{3} + 18 x^{2} + 9 x + 21$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T41) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{12} + 3 x^{6} + 9 x^{5} + 3 x^{3} + 18 x^{2} + 9 x + 21$
3.15.28.293 $x^{15} + 3 x^{14} + 3 x^{12} + 3 x^{9} + 18 x^{6} + 18 x^{4} + 9 x^{3} + 18 x^{2} + 21$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T41) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{12} + 3 x^{9} + 18 x^{6} + 18 x^{4} + 9 x^{3} + 18 x^{2} + 21$
3.15.28.313 $x^{15} + 3 x^{14} + 6 x^{12} + 3 x^{9} + 9 x^{2} + 3$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T41) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 6 x^{12} + 3 x^{9} + 9 x^{2} + 3$
3.15.28.318 $x^{15} + 3 x^{14} + 18 x^{6} + 9 x^{3} + 18 x^{2} + 12$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T41) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 18 x^{6} + 9 x^{3} + 18 x^{2} + 12$
3.15.28.319 $x^{15} + 3 x^{14} + 3 x^{12} + 3 x^{6} + 21 x^{3} + 9 x + 12$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T41) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{12} + 3 x^{6} + 21 x^{3} + 9 x + 12$
3.15.28.62 $x^{15} + 3 x^{14} + 6 x^{12} + 12 x^{6} + 18 x^{5} + 18 x^{4} + 15 x^{3} + 18 x^{2} + 18 x + 3$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T41) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 6 x^{12} + 12 x^{6} + 18 x^{5} + 18 x^{4} + 15 x^{3} + 18 x^{2} + 18 x + 3$
3.15.28.67 $x^{15} + 3 x^{14} + 3 x^{12} + 3 x^{9} + 3 x^{6} + 9 x^{5} + 9 x^{4} + 3 x^{3} + 18 x^{2} + 9 x + 21$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T41) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{12} + 3 x^{9} + 3 x^{6} + 9 x^{5} + 9 x^{4} + 3 x^{3} + 18 x^{2} + 9 x + 21$
3.15.28.69 $x^{15} + 3 x^{14} + 3 x^{12} + 3 x^{9} + 21 x^{6} + 18 x^{5} + 18 x^{4} + 24 x^{3} + 18 x^{2} + 18 x + 3$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T41) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{12} + 3 x^{9} + 21 x^{6} + 18 x^{5} + 18 x^{4} + 24 x^{3} + 18 x^{2} + 18 x + 3$
3.15.28.75 $x^{15} + 3 x^{14} + 3 x^{9} + 9 x^{6} + 18 x^{5} + 18 x^{4} + 9 x^{3} + 18 x^{2} + 21$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T41) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{9} + 9 x^{6} + 18 x^{5} + 18 x^{4} + 9 x^{3} + 18 x^{2} + 21$
3.15.28.76 $x^{15} + 3 x^{14} + 3 x^{9} + 18 x^{6} + 9 x^{4} + 18 x^{2} + 12$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T41) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{9} + 18 x^{6} + 9 x^{4} + 18 x^{2} + 12$
3.15.28.93 $x^{15} + 3 x^{14} + 3 x^{12} + 6 x^{9} + 12 x^{6} + 9 x^{5} + 9 x^{4} + 6 x^{3} + 18 x + 21$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T41) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{12} + 6 x^{9} + 12 x^{6} + 9 x^{5} + 9 x^{4} + 6 x^{3} + 18 x + 21$
3.15.28.95 $x^{15} + 3 x^{14} + 6 x^{12} + 6 x^{9} + 21 x^{6} + 9 x^{5} + 18 x^{4} + 21 x^{3} + 9 x + 12$ $3$ $15$ $1$ $28$ $C_3^4:F_5$ (as 15T41) $[12/5]$ $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 6 x^{12} + 6 x^{9} + 21 x^{6} + 9 x^{5} + 18 x^{4} + 21 x^{3} + 9 x + 12$
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