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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
3.15.15.51 $x^{15} + 3 x + 3$ $3$ $15$ $1$ $15$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[11/10]$ $[11/10, 11/10, 11/10, 11/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x + 3$
3.15.15.52 $x^{15} + 3 x^{2} + 6 x + 3$ $3$ $15$ $1$ $15$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[11/10]$ $[11/10, 11/10, 11/10, 11/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{2} + 6 x + 3$
3.15.21.11 $x^{15} + 3 x^{11} + 6 x^{10} + 6 x^{9} + 3 x^{7} + 3$ $3$ $15$ $1$ $21$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[17/10]$ $[17/10, 17/10, 17/10, 17/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{11} + 6 x^{10} + 6 x^{9} + 3 x^{7} + 3$
3.15.21.14 $x^{15} + 3 x^{11} + 3 x^{10} + 6 x^{8} + 3 x^{7} + 3 x^{6} + 6 x^{3} + 3$ $3$ $15$ $1$ $21$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[17/10]$ $[17/10, 17/10, 17/10, 17/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{11} + 3 x^{10} + 6 x^{8} + 3 x^{7} + 3 x^{6} + 6 x^{3} + 3$
3.15.21.18 $x^{15} + 3 x^{9} + 3 x^{7} + 3$ $3$ $15$ $1$ $21$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[17/10]$ $[17/10, 17/10, 17/10, 17/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{9} + 3 x^{7} + 3$
3.15.21.6 $x^{15} + 6 x^{8} + 6 x^{7} + 3 x^{6} + 3 x^{3} + 3$ $3$ $15$ $1$ $21$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[17/10]$ $[17/10, 17/10, 17/10, 17/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{8} + 6 x^{7} + 3 x^{6} + 3 x^{3} + 3$
3.15.21.7 $x^{15} + 3 x^{11} + 3 x^{10} + 3 x^{9} + 6 x^{7} + 3$ $3$ $15$ $1$ $21$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[17/10]$ $[17/10, 17/10, 17/10, 17/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{11} + 3 x^{10} + 3 x^{9} + 6 x^{7} + 3$
3.15.21.8 $x^{15} + 3 x^{11} + 3 x^{9} + 6 x^{8} + 6 x^{7} + 3 x^{6} + 3 x^{3} + 3$ $3$ $15$ $1$ $21$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[17/10]$ $[17/10, 17/10, 17/10, 17/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{11} + 3 x^{9} + 6 x^{8} + 6 x^{7} + 3 x^{6} + 3 x^{3} + 3$
3.15.25.100 $x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{12} + 3 x^{11} + 6 x^{9} + 9 x^{2} + 9 x + 21$ $3$ $15$ $1$ $25$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[21/10]$ $[21/10, 21/10, 21/10, 21/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{12} + 3 x^{11} + 6 x^{9} + 9 x^{2} + 9 x + 21$
3.15.25.102 $x^{15} + 3 x^{13} + 6 x^{11} + 9 x^{2} + 12$ $3$ $15$ $1$ $25$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[21/10]$ $[21/10, 21/10, 21/10, 21/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{13} + 6 x^{11} + 9 x^{2} + 12$
3.15.25.103 $x^{15} + 6 x^{14} + 6 x^{13} + 6 x^{12} + 6 x^{11} + 6 x^{9} + 9 x^{2} + 21$ $3$ $15$ $1$ $25$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[21/10]$ $[21/10, 21/10, 21/10, 21/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{13} + 6 x^{12} + 6 x^{11} + 6 x^{9} + 9 x^{2} + 21$
3.15.25.104 $x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{11} + 3 x^{9} + 12$ $3$ $15$ $1$ $25$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[21/10]$ $[21/10, 21/10, 21/10, 21/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{11} + 3 x^{9} + 12$
3.15.25.57 $x^{15} + 3 x^{14} + 6 x^{13} + 3 x^{12} + 6 x^{11} + 3 x^{6} + 3 x^{3} + 18 x^{2} + 18 x + 12$ $3$ $15$ $1$ $25$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[21/10]$ $[21/10, 21/10, 21/10, 21/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 6 x^{13} + 3 x^{12} + 6 x^{11} + 3 x^{6} + 3 x^{3} + 18 x^{2} + 18 x + 12$
3.15.25.58 $x^{15} + 6 x^{13} + 6 x^{11} + 9 x + 3$ $3$ $15$ $1$ $25$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[21/10]$ $[21/10, 21/10, 21/10, 21/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{13} + 6 x^{11} + 9 x + 3$
3.15.25.61 $x^{15} + 3 x^{13} + 3 x^{11} + 9 x^{2} + 9 x + 12$ $3$ $15$ $1$ $25$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[21/10]$ $[21/10, 21/10, 21/10, 21/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{13} + 3 x^{11} + 9 x^{2} + 9 x + 12$
3.15.25.62 $x^{15} + 6 x^{14} + 3 x^{11} + 3 x^{9} + 9 x^{2} + 9 x + 12$ $3$ $15$ $1$ $25$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[21/10]$ $[21/10, 21/10, 21/10, 21/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 3 x^{11} + 3 x^{9} + 9 x^{2} + 9 x + 12$
3.15.25.67 $x^{15} + 6 x^{11} + 18 x^{2} + 12$ $3$ $15$ $1$ $25$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[21/10]$ $[21/10, 21/10, 21/10, 21/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{11} + 18 x^{2} + 12$
3.15.25.68 $x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{11} + 3 x^{9} + 18 x + 12$ $3$ $15$ $1$ $25$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[21/10]$ $[21/10, 21/10, 21/10, 21/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{11} + 3 x^{9} + 18 x + 12$
3.15.25.73 $x^{15} + 6 x^{14} + 6 x^{11} + 6 x^{9} + 9 x^{2} + 9 x + 3$ $3$ $15$ $1$ $25$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[21/10]$ $[21/10, 21/10, 21/10, 21/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{11} + 6 x^{9} + 9 x^{2} + 9 x + 3$
3.15.25.76 $x^{15} + 6 x^{14} + 3 x^{12} + 3 x^{11} + 6 x^{9} + 3 x^{6} + 3 x^{3} + 9 x^{2} + 18 x + 21$ $3$ $15$ $1$ $25$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[21/10]$ $[21/10, 21/10, 21/10, 21/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 3 x^{12} + 3 x^{11} + 6 x^{9} + 3 x^{6} + 3 x^{3} + 9 x^{2} + 18 x + 21$
3.15.25.77 $x^{15} + 3 x^{14} + 3 x^{13} + 3 x^{12} + 3 x^{11} + 6 x^{9} + 3$ $3$ $15$ $1$ $25$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[21/10]$ $[21/10, 21/10, 21/10, 21/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{13} + 3 x^{12} + 3 x^{11} + 6 x^{9} + 3$
3.15.25.78 $x^{15} + 6 x^{12} + 3 x^{11} + 3 x^{9} + 3 x^{6} + 3 x^{3} + 9 x^{2} + 21$ $3$ $15$ $1$ $25$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[21/10]$ $[21/10, 21/10, 21/10, 21/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{12} + 3 x^{11} + 3 x^{9} + 3 x^{6} + 3 x^{3} + 9 x^{2} + 21$
3.15.25.80 $x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{12} + 3 x^{11} + 3 x^{9} + 3 x^{6} + 6 x^{3} + 9 x^{2} + 9 x + 12$ $3$ $15$ $1$ $25$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[21/10]$ $[21/10, 21/10, 21/10, 21/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{12} + 3 x^{11} + 3 x^{9} + 3 x^{6} + 6 x^{3} + 9 x^{2} + 9 x + 12$
3.15.25.84 $x^{15} + 6 x^{13} + 3 x^{11} + 18 x^{2} + 3$ $3$ $15$ $1$ $25$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[21/10]$ $[21/10, 21/10, 21/10, 21/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{13} + 3 x^{11} + 18 x^{2} + 3$
3.15.25.94 $x^{15} + 6 x^{14} + 6 x^{12} + 6 x^{11} + 6 x^{9} + 18 x^{2} + 12$ $3$ $15$ $1$ $25$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[21/10]$ $[21/10, 21/10, 21/10, 21/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{12} + 6 x^{11} + 6 x^{9} + 18 x^{2} + 12$
3.15.25.97 $x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{12} + 6 x^{11} + 3 x^{9} + 3 x^{6} + 3 x^{3} + 18 x^{2} + 12$ $3$ $15$ $1$ $25$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[21/10]$ $[21/10, 21/10, 21/10, 21/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{12} + 6 x^{11} + 3 x^{9} + 3 x^{6} + 3 x^{3} + 18 x^{2} + 12$
3.15.27.1 $x^{15} + 6 x^{13} + 9 x^{5} + 18 x^{3} + 18 x + 12$ $3$ $15$ $1$ $27$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{13} + 9 x^{5} + 18 x^{3} + 18 x + 12$
3.15.27.101 $x^{15} + 3 x^{13} + 6 x^{12} + 3 x^{6} + 9 x^{4} + 12 x^{3} + 3$ $3$ $15$ $1$ $27$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{13} + 6 x^{12} + 3 x^{6} + 9 x^{4} + 12 x^{3} + 3$
3.15.27.108 $x^{15} + 3 x^{13} + 6 x^{12} + 3 x^{9} + 18 x^{5} + 9 x^{2} + 3$ $3$ $15$ $1$ $27$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{13} + 6 x^{12} + 3 x^{9} + 18 x^{5} + 9 x^{2} + 3$
3.15.27.11 $x^{15} + 6 x^{13} + 9 x^{5} + 18 x^{4} + 9 x^{3} + 3$ $3$ $15$ $1$ $27$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{13} + 9 x^{5} + 18 x^{4} + 9 x^{3} + 3$
3.15.27.110 $x^{15} + 3 x^{13} + 3 x^{6} + 9 x^{5} + 18 x^{4} + 6 x^{3} + 9 x^{2} + 9 x + 3$ $3$ $15$ $1$ $27$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{13} + 3 x^{6} + 9 x^{5} + 18 x^{4} + 6 x^{3} + 9 x^{2} + 9 x + 3$
3.15.27.114 $x^{15} + 3 x^{14} + 3 x^{13} + 18 x^{5} + 9 x^{4} + 9 x^{3} + 18 x^{2} + 18 x + 21$ $3$ $15$ $1$ $27$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{13} + 18 x^{5} + 9 x^{4} + 9 x^{3} + 18 x^{2} + 18 x + 21$
3.15.27.116 $x^{15} + 6 x^{14} + 3 x^{13} + 9 x^{4} + 18 x^{3} + 18 x^{2} + 18 x + 21$ $3$ $15$ $1$ $27$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 3 x^{13} + 9 x^{4} + 18 x^{3} + 18 x^{2} + 18 x + 21$
3.15.27.122 $x^{15} + 6 x^{14} + 3 x^{13} + 3 x^{12} + 6 x^{9} + 18 x^{5} + 9 x^{3} + 18 x^{2} + 9 x + 3$ $3$ $15$ $1$ $27$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 3 x^{13} + 3 x^{12} + 6 x^{9} + 18 x^{5} + 9 x^{3} + 18 x^{2} + 9 x + 3$
3.15.27.125 $x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{6} + 18 x^{5} + 18 x^{4} + 15 x^{3} + 9 x^{2} + 21$ $3$ $15$ $1$ $27$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{6} + 18 x^{5} + 18 x^{4} + 15 x^{3} + 9 x^{2} + 21$
3.15.27.127 $x^{15} + 6 x^{14} + 6 x^{13} + 6 x^{12} + 3 x^{6} + 9 x^{5} + 18 x^{4} + 3 x^{3} + 18 x^{2} + 18 x + 21$ $3$ $15$ $1$ $27$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{13} + 6 x^{12} + 3 x^{6} + 9 x^{5} + 18 x^{4} + 3 x^{3} + 18 x^{2} + 18 x + 21$
3.15.27.13 $x^{15} + 6 x^{14} + 3 x^{13} + 3 x^{12} + 3 x^{6} + 9 x^{5} + 24 x^{3} + 18 x^{2} + 9 x + 12$ $3$ $15$ $1$ $27$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 3 x^{13} + 3 x^{12} + 3 x^{6} + 9 x^{5} + 24 x^{3} + 18 x^{2} + 9 x + 12$
3.15.27.130 $x^{15} + 3 x^{14} + 3 x^{13} + 9 x^{5} + 18 x^{2} + 12$ $3$ $15$ $1$ $27$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{13} + 9 x^{5} + 18 x^{2} + 12$
3.15.27.131 $x^{15} + 6 x^{13} + 6 x^{9} + 9 x^{5} + 9 x^{4} + 21$ $3$ $15$ $1$ $27$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{13} + 6 x^{9} + 9 x^{5} + 9 x^{4} + 21$
3.15.27.133 $x^{15} + 6 x^{14} + 6 x^{13} + 18 x^{5} + 18 x^{4} + 9 x^{3} + 9 x^{2} + 3$ $3$ $15$ $1$ $27$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{13} + 18 x^{5} + 18 x^{4} + 9 x^{3} + 9 x^{2} + 3$
3.15.27.137 $x^{15} + 6 x^{14} + 3 x^{13} + 3 x^{12} + 6 x^{9} + 3 x^{6} + 18 x^{5} + 18 x^{4} + 21 x^{3} + 18 x + 12$ $3$ $15$ $1$ $27$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 3 x^{13} + 3 x^{12} + 6 x^{9} + 3 x^{6} + 18 x^{5} + 18 x^{4} + 21 x^{3} + 18 x + 12$
3.15.27.139 $x^{15} + 3 x^{14} + 6 x^{13} + 3 x^{12} + 6 x^{9} + 9 x^{5} + 9 x^{4} + 9 x^{3} + 9 x^{2} + 21$ $3$ $15$ $1$ $27$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 6 x^{13} + 3 x^{12} + 6 x^{9} + 9 x^{5} + 9 x^{4} + 9 x^{3} + 9 x^{2} + 21$
3.15.27.140 $x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{12} + 6 x^{9} + 3 x^{6} + 9 x^{5} + 9 x^{4} + 3 x^{3} + 18 x^{2} + 18 x + 3$ $3$ $15$ $1$ $27$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{12} + 6 x^{9} + 3 x^{6} + 9 x^{5} + 9 x^{4} + 3 x^{3} + 18 x^{2} + 18 x + 3$
3.15.27.142 $x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{9} + 3 x^{6} + 18 x^{4} + 3 x^{3} + 9 x^{2} + 9 x + 12$ $3$ $15$ $1$ $27$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{9} + 3 x^{6} + 18 x^{4} + 3 x^{3} + 9 x^{2} + 9 x + 12$
3.15.27.15 $x^{15} + 6 x^{13} + 6 x^{12} + 6 x^{9} + 3 x^{6} + 18 x^{4} + 15 x^{3} + 18 x + 12$ $3$ $15$ $1$ $27$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{13} + 6 x^{12} + 6 x^{9} + 3 x^{6} + 18 x^{4} + 15 x^{3} + 18 x + 12$
3.15.27.154 $x^{15} + 6 x^{14} + 6 x^{13} + 6 x^{12} + 6 x^{9} + 9 x^{5} + 18 x^{4} + 18 x^{3} + 9 x^{2} + 21$ $3$ $15$ $1$ $27$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{13} + 6 x^{12} + 6 x^{9} + 9 x^{5} + 18 x^{4} + 18 x^{3} + 9 x^{2} + 21$
3.15.27.16 $x^{15} + 3 x^{13} + 6 x^{12} + 6 x^{9} + 9 x^{4} + 9 x^{2} + 9 x + 3$ $3$ $15$ $1$ $27$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{13} + 6 x^{12} + 6 x^{9} + 9 x^{4} + 9 x^{2} + 9 x + 3$
3.15.27.23 $x^{15} + 6 x^{14} + 3 x^{13} + 3 x^{12} + 6 x^{9} + 18 x^{4} + 18 x^{2} + 3$ $3$ $15$ $1$ $27$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 3 x^{13} + 3 x^{12} + 6 x^{9} + 18 x^{4} + 18 x^{2} + 3$
3.15.27.25 $x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{9} + 3 x^{6} + 18 x^{5} + 24 x^{3} + 9 x^{2} + 18 x + 12$ $3$ $15$ $1$ $27$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{9} + 3 x^{6} + 18 x^{5} + 24 x^{3} + 9 x^{2} + 18 x + 12$
3.15.27.26 $x^{15} + 6 x^{14} + 6 x^{13} + 18 x^{5} + 9 x^{3} + 9 x^{2} + 21$ $3$ $15$ $1$ $27$ $C_3^4:(C_2\times F_5)$ (as 15T52) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{13} + 18 x^{5} + 9 x^{3} + 9 x^{2} + 21$
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