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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
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) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{13} + 9 x^{5} + 18 x^{3} + 18 x + 12$
3.15.27.10 $x^{15} + 6 x^{13} + 6 x^{12} + 3 x^{9} + 9 x^{5} + 9 x^{4} + 18 x + 3$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{13} + 6 x^{12} + 3 x^{9} + 9 x^{5} + 9 x^{4} + 18 x + 3$
3.15.27.100 $x^{15} + 3 x^{14} + 6 x^{13} + 18 x^{4} + 18 x^{3} + 18 x^{2} + 3$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 6 x^{13} + 18 x^{4} + 18 x^{3} + 18 x^{2} + 3$
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) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{13} + 6 x^{12} + 3 x^{6} + 9 x^{4} + 12 x^{3} + 3$
3.15.27.102 $x^{15} + 6 x^{14} + 3 x^{13} + 6 x^{9} + 9 x^{5} + 18 x^{4} + 9 x^{3} + 9 x^{2} + 3$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 3 x^{13} + 6 x^{9} + 9 x^{5} + 18 x^{4} + 9 x^{3} + 9 x^{2} + 3$
3.15.27.103 $x^{15} + 3 x^{14} + 3 x^{13} + 9 x^{4} + 9 x^{3} + 9 x^{2} + 9 x + 21$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{13} + 9 x^{4} + 9 x^{3} + 9 x^{2} + 9 x + 21$
3.15.27.104 $x^{15} + 3 x^{13} + 9 x^{5} + 9 x^{3} + 9 x^{2} + 9 x + 3$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{13} + 9 x^{5} + 9 x^{3} + 9 x^{2} + 9 x + 3$
3.15.27.105 $x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{9} + 9 x^{4} + 18 x^{2} + 9 x + 12$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{9} + 9 x^{4} + 18 x^{2} + 9 x + 12$
3.15.27.106 $x^{15} + 6 x^{13} + 6 x^{12} + 6 x^{9} + 9 x^{4} + 18 x^{3} + 18 x + 3$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{13} + 6 x^{12} + 6 x^{9} + 9 x^{4} + 18 x^{3} + 18 x + 3$
3.15.27.107 $x^{15} + 3 x^{14} + 3 x^{13} + 18 x^{4} + 9 x^{2} + 18 x + 3$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{13} + 18 x^{4} + 9 x^{2} + 18 x + 3$
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) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{13} + 6 x^{12} + 3 x^{9} + 18 x^{5} + 9 x^{2} + 3$
3.15.27.109 $x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{9} + 3 x^{6} + 18 x^{4} + 24 x^{3} + 18 x^{2} + 18 x + 12$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{9} + 3 x^{6} + 18 x^{4} + 24 x^{3} + 18 x^{2} + 18 x + 12$
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) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{13} + 3 x^{6} + 9 x^{5} + 18 x^{4} + 6 x^{3} + 9 x^{2} + 9 x + 3$
3.15.27.111 $x^{15} + 6 x^{14} + 3 x^{13} + 18 x^{5} + 9 x^{4} + 9 x^{3} + 9 x^{2} + 9 x + 12$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 3 x^{13} + 18 x^{5} + 9 x^{4} + 9 x^{3} + 9 x^{2} + 9 x + 12$
3.15.27.112 $x^{15} + 6 x^{13} + 3 x^{12} + 6 x^{9} + 3 x^{6} + 9 x^{5} + 9 x^{4} + 21 x^{3} + 18 x^{2} + 12$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{13} + 3 x^{12} + 6 x^{9} + 3 x^{6} + 9 x^{5} + 9 x^{4} + 21 x^{3} + 18 x^{2} + 12$
3.15.27.113 $x^{15} + 3 x^{14} + 3 x^{13} + 18 x^{5} + 9 x^{2} + 9 x + 12$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{13} + 18 x^{5} + 9 x^{2} + 9 x + 12$
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) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{13} + 18 x^{5} + 9 x^{4} + 9 x^{3} + 18 x^{2} + 18 x + 21$
3.15.27.115 $x^{15} + 6 x^{14} + 6 x^{13} + 9 x^{5} + 18 x^{4} + 9 x^{3} + 9 x + 12$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{13} + 9 x^{5} + 18 x^{4} + 9 x^{3} + 9 x + 12$
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) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 3 x^{13} + 9 x^{4} + 18 x^{3} + 18 x^{2} + 18 x + 21$
3.15.27.117 $x^{15} + 3 x^{14} + 6 x^{13} + 9 x^{4} + 18 x^{2} + 9 x + 21$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 6 x^{13} + 9 x^{4} + 18 x^{2} + 9 x + 21$
3.15.27.118 $x^{15} + 6 x^{14} + 3 x^{13} + 6 x^{12} + 6 x^{9} + 3 x^{6} + 9 x^{5} + 18 x^{4} + 3 x^{3} + 18 x + 3$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 3 x^{13} + 6 x^{12} + 6 x^{9} + 3 x^{6} + 9 x^{5} + 18 x^{4} + 3 x^{3} + 18 x + 3$
3.15.27.119 $x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{12} + 6 x^{9} + 18 x^{4} + 18 x^{3} + 9 x + 21$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{12} + 6 x^{9} + 18 x^{4} + 18 x^{3} + 9 x + 21$
3.15.27.12 $x^{15} + 3 x^{14} + 6 x^{13} + 6 x^{9} + 3 x^{6} + 9 x^{5} + 9 x^{4} + 6 x^{3} + 18 x + 3$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 6 x^{13} + 6 x^{9} + 3 x^{6} + 9 x^{5} + 9 x^{4} + 6 x^{3} + 18 x + 3$
3.15.27.120 $x^{15} + 3 x^{14} + 3 x^{13} + 3 x^{12} + 6 x^{9} + 9 x^{4} + 18 x^{2} + 9 x + 21$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{13} + 3 x^{12} + 6 x^{9} + 9 x^{4} + 18 x^{2} + 9 x + 21$
3.15.27.121 $x^{15} + 3 x^{14} + 6 x^{13} + 6 x^{12} + 6 x^{9} + 3 x^{6} + 9 x^{5} + 9 x^{4} + 15 x^{3} + 9 x^{2} + 3$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 6 x^{13} + 6 x^{12} + 6 x^{9} + 3 x^{6} + 9 x^{5} + 9 x^{4} + 15 x^{3} + 9 x^{2} + 3$
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) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 3 x^{13} + 3 x^{12} + 6 x^{9} + 18 x^{5} + 9 x^{3} + 18 x^{2} + 9 x + 3$
3.15.27.123 $x^{15} + 6 x^{14} + 6 x^{13} + 18 x^{5} + 9 x^{4} + 9 x^{3} + 18 x^{2} + 3$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{13} + 18 x^{5} + 9 x^{4} + 9 x^{3} + 18 x^{2} + 3$
3.15.27.124 $x^{15} + 3 x^{14} + 3 x^{13} + 18 x^{4} + 9 x^{3} + 3$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{13} + 18 x^{4} + 9 x^{3} + 3$
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) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{6} + 18 x^{5} + 18 x^{4} + 15 x^{3} + 9 x^{2} + 21$
3.15.27.126 $x^{15} + 6 x^{13} + 9 x^{5} + 18 x^{2} + 21$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{13} + 9 x^{5} + 18 x^{2} + 21$
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) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{13} + 6 x^{12} + 3 x^{6} + 9 x^{5} + 18 x^{4} + 3 x^{3} + 18 x^{2} + 18 x + 21$
3.15.27.128 $x^{15} + 3 x^{14} + 6 x^{13} + 3 x^{9} + 9 x^{5} + 9 x^{4} + 9 x^{2} + 21$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 6 x^{13} + 3 x^{9} + 9 x^{5} + 9 x^{4} + 9 x^{2} + 21$
3.15.27.129 $x^{15} + 3 x^{14} + 6 x^{13} + 6 x^{12} + 3 x^{9} + 3 x^{6} + 18 x^{5} + 9 x^{4} + 24 x^{3} + 9 x^{2} + 9 x + 3$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 6 x^{13} + 6 x^{12} + 3 x^{9} + 3 x^{6} + 18 x^{5} + 9 x^{4} + 24 x^{3} + 9 x^{2} + 9 x + 3$
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) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{13} + 6 x^{9} + 9 x^{5} + 9 x^{4} + 21$
3.15.27.132 $x^{15} + 3 x^{13} + 18 x^{5} + 18 x^{3} + 9 x^{2} + 21$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{13} + 18 x^{5} + 18 x^{3} + 9 x^{2} + 21$
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) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{13} + 18 x^{5} + 18 x^{4} + 9 x^{3} + 9 x^{2} + 3$
3.15.27.134 $x^{15} + 6 x^{14} + 3 x^{13} + 6 x^{12} + 6 x^{9} + 3 x^{6} + 6 x^{3} + 9 x^{2} + 9 x + 12$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 3 x^{13} + 6 x^{12} + 6 x^{9} + 3 x^{6} + 6 x^{3} + 9 x^{2} + 9 x + 12$
3.15.27.135 $x^{15} + 3 x^{14} + 3 x^{13} + 18 x^{4} + 9 x^{3} + 9 x^{2} + 18 x + 3$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{13} + 18 x^{4} + 9 x^{3} + 9 x^{2} + 18 x + 3$
3.15.27.136 $x^{15} + 6 x^{14} + 3 x^{13} + 3 x^{12} + 3 x^{6} + 18 x^{5} + 6 x^{3} + 18 x^{2} + 3$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 3 x^{13} + 3 x^{12} + 3 x^{6} + 18 x^{5} + 6 x^{3} + 18 x^{2} + 3$
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) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 3 x^{13} + 3 x^{12} + 6 x^{9} + 3 x^{6} + 18 x^{5} + 18 x^{4} + 21 x^{3} + 18 x + 12$
3.15.27.138 $x^{15} + 3 x^{14} + 6 x^{13} + 9 x^{5} + 18 x^{3} + 18 x^{2} + 9 x + 12$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 6 x^{13} + 9 x^{5} + 18 x^{3} + 18 x^{2} + 9 x + 12$
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) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 6 x^{13} + 3 x^{12} + 6 x^{9} + 9 x^{5} + 9 x^{4} + 9 x^{3} + 9 x^{2} + 21$
3.15.27.14 $x^{15} + 6 x^{14} + 3 x^{13} + 6 x^{9} + 9 x^{5} + 18 x^{4} + 18 x^{2} + 9 x + 21$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 3 x^{13} + 6 x^{9} + 9 x^{5} + 18 x^{4} + 18 x^{2} + 9 x + 21$
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) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{12} + 6 x^{9} + 3 x^{6} + 9 x^{5} + 9 x^{4} + 3 x^{3} + 18 x^{2} + 18 x + 3$
3.15.27.141 $x^{15} + 3 x^{13} + 3 x^{9} + 18 x^{4} + 9 x^{3} + 9 x^{2} + 9 x + 12$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{13} + 3 x^{9} + 18 x^{4} + 9 x^{3} + 9 x^{2} + 9 x + 12$
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) $[23/10]$ $[23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{9} + 3 x^{6} + 18 x^{4} + 3 x^{3} + 9 x^{2} + 9 x + 12$
3.15.27.143 $x^{15} + 6 x^{14} + 6 x^{13} + 18 x^{5} + 18 x^{2} + 12$ $3$ $15$ $1$ $27$ $C_3^4:(S_3\times F_5)$ (as 15T64) $[23/10]$ $[3/2, 23/10, 23/10, 23/10, 23/10]_{10}^{4}$ $t + 1$ $x^{15} + 6 x^{14} + 6 x^{13} + 18 x^{5} + 18 x^{2} + 12$
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