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Results (48 matches)

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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
5.15.15.45 $x^{15} + 10 x^{2} + 15 x + 5$ $5$ $15$ $1$ $15$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[13/12]$ $[13/12, 13/12]_{12}^{2}$ $t + 3$ $x^{15} + 10 x^{2} + 15 x + 5$
5.15.15.46 $x^{15} + 10 x^{2} + 10 x + 5$ $5$ $15$ $1$ $15$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[13/12]$ $[13/12, 13/12]_{12}^{2}$ $t + 3$ $x^{15} + 10 x^{2} + 10 x + 5$
5.15.15.47 $x^{15} + 15 x^{2} + 5 x + 5$ $5$ $15$ $1$ $15$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[13/12]$ $[13/12, 13/12]_{12}^{2}$ $t + 3$ $x^{15} + 15 x^{2} + 5 x + 5$
5.15.15.48 $x^{15} + 10 x^{2} + 20 x + 5$ $5$ $15$ $1$ $15$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[13/12]$ $[13/12, 13/12]_{12}^{2}$ $t + 3$ $x^{15} + 10 x^{2} + 20 x + 5$
5.15.21.55 $x^{15} + 15 x^{9} + 20 x^{7} + 5$ $5$ $15$ $1$ $21$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[19/12]$ $[19/12, 19/12]_{12}^{2}$ $t + 3$ $x^{15} + 15 x^{9} + 20 x^{7} + 5$
5.15.21.60 $x^{15} + 10 x^{9} + 10 x^{7} + 5$ $5$ $15$ $1$ $21$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[19/12]$ $[19/12, 19/12]_{12}^{2}$ $t + 3$ $x^{15} + 10 x^{9} + 10 x^{7} + 5$
5.15.21.62 $x^{15} + 15 x^{9} + 15 x^{8} + 15 x^{7} + 5 x^{5} + 5$ $5$ $15$ $1$ $21$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[19/12]$ $[19/12, 19/12]_{12}^{2}$ $t + 3$ $x^{15} + 15 x^{9} + 15 x^{8} + 15 x^{7} + 5 x^{5} + 5$
5.15.21.63 $x^{15} + 5 x^{9} + 5 x^{7} + 5$ $5$ $15$ $1$ $21$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[19/12]$ $[19/12, 19/12]_{12}^{2}$ $t + 3$ $x^{15} + 5 x^{9} + 5 x^{7} + 5$
5.15.25.24 $x^{15} + 5 x^{14} + 10 x^{12} + 20 x^{11} + 5$ $5$ $15$ $1$ $25$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[23/12]$ $[23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 5 x^{14} + 10 x^{12} + 20 x^{11} + 5$
5.15.25.27 $x^{15} + 5 x^{14} + 15 x^{12} + 5 x^{11} + 20 x^{10} + 5 x^{5} + 5$ $5$ $15$ $1$ $25$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[23/12]$ $[23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 5 x^{14} + 15 x^{12} + 5 x^{11} + 20 x^{10} + 5 x^{5} + 5$
5.15.25.3 $x^{15} + 20 x^{14} + 20 x^{13} + 15 x^{12} + 20 x^{11} + 15 x^{10} + 5 x^{5} + 5$ $5$ $15$ $1$ $25$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[23/12]$ $[23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 20 x^{14} + 20 x^{13} + 15 x^{12} + 20 x^{11} + 15 x^{10} + 5 x^{5} + 5$
5.15.25.34 $x^{15} + 15 x^{12} + 20 x^{11} + 10 x^{10} + 10 x^{5} + 5$ $5$ $15$ $1$ $25$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[23/12]$ $[23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 15 x^{12} + 20 x^{11} + 10 x^{10} + 10 x^{5} + 5$
5.15.25.39 $x^{15} + 10 x^{14} + 5 x^{13} + 5 x^{12} + 5 x^{11} + 20 x^{10} + 20 x^{5} + 5$ $5$ $15$ $1$ $25$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[23/12]$ $[23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 5 x^{13} + 5 x^{12} + 5 x^{11} + 20 x^{10} + 20 x^{5} + 5$
5.15.25.4 $x^{15} + 15 x^{13} + 20 x^{12} + 20 x^{11} + 10 x^{5} + 5$ $5$ $15$ $1$ $25$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[23/12]$ $[23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 15 x^{13} + 20 x^{12} + 20 x^{11} + 10 x^{5} + 5$
5.15.25.43 $x^{15} + 10 x^{14} + 15 x^{12} + 20 x^{11} + 5$ $5$ $15$ $1$ $25$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[23/12]$ $[23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 15 x^{12} + 20 x^{11} + 5$
5.15.25.46 $x^{15} + 5 x^{14} + 5 x^{13} + 10 x^{12} + 10 x^{11} + 20 x^{10} + 5 x^{5} + 5$ $5$ $15$ $1$ $25$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[23/12]$ $[23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 5 x^{14} + 5 x^{13} + 10 x^{12} + 10 x^{11} + 20 x^{10} + 5 x^{5} + 5$
5.15.25.48 $x^{15} + 15 x^{14} + 5 x^{12} + 5 x^{11} + 20 x^{10} + 15 x^{5} + 5$ $5$ $15$ $1$ $25$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[23/12]$ $[23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 15 x^{14} + 5 x^{12} + 5 x^{11} + 20 x^{10} + 15 x^{5} + 5$
5.15.25.54 $x^{15} + 15 x^{14} + 20 x^{13} + 5 x^{12} + 10 x^{11} + 20 x^{5} + 5$ $5$ $15$ $1$ $25$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[23/12]$ $[23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 15 x^{14} + 20 x^{13} + 5 x^{12} + 10 x^{11} + 20 x^{5} + 5$
5.15.25.55 $x^{15} + 15 x^{13} + 10 x^{12} + 5 x^{11} + 15 x^{10} + 10 x^{5} + 5$ $5$ $15$ $1$ $25$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[23/12]$ $[23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 15 x^{13} + 10 x^{12} + 5 x^{11} + 15 x^{10} + 10 x^{5} + 5$
5.15.25.73 $x^{15} + 5 x^{14} + 20 x^{13} + 10 x^{11} + 20 x^{10} + 5 x^{5} + 5$ $5$ $15$ $1$ $25$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[23/12]$ $[23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 5 x^{14} + 20 x^{13} + 10 x^{11} + 20 x^{10} + 5 x^{5} + 5$
5.15.25.80 $x^{15} + 20 x^{14} + 10 x^{13} + 10 x^{11} + 10 x^{10} + 5$ $5$ $15$ $1$ $25$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[23/12]$ $[23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 20 x^{14} + 10 x^{13} + 10 x^{11} + 10 x^{10} + 5$
5.15.25.84 $x^{15} + 10 x^{14} + 15 x^{12} + 15 x^{11} + 5$ $5$ $15$ $1$ $25$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[23/12]$ $[23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 15 x^{12} + 15 x^{11} + 5$
5.15.25.85 $x^{15} + 20 x^{14} + 20 x^{13} + 10 x^{12} + 5 x^{11} + 5 x^{10} + 15 x^{5} + 5$ $5$ $15$ $1$ $25$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[23/12]$ $[23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 20 x^{14} + 20 x^{13} + 10 x^{12} + 5 x^{11} + 5 x^{10} + 15 x^{5} + 5$
5.15.25.89 $x^{15} + 5 x^{14} + 20 x^{13} + 5 x^{12} + 15 x^{11} + 10 x^{10} + 5 x^{5} + 5$ $5$ $15$ $1$ $25$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[23/12]$ $[23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 5 x^{14} + 20 x^{13} + 5 x^{12} + 15 x^{11} + 10 x^{10} + 5 x^{5} + 5$
5.15.25.9 $x^{15} + 20 x^{14} + 20 x^{13} + 15 x^{12} + 15 x^{11} + 20 x^{10} + 5 x^{5} + 5$ $5$ $15$ $1$ $25$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[23/12]$ $[23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 20 x^{14} + 20 x^{13} + 15 x^{12} + 15 x^{11} + 20 x^{10} + 5 x^{5} + 5$
5.15.25.92 $x^{15} + 5 x^{14} + 5 x^{13} + 5 x^{12} + 15 x^{11} + 20 x^{10} + 5$ $5$ $15$ $1$ $25$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[23/12]$ $[23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 5 x^{14} + 5 x^{13} + 5 x^{12} + 15 x^{11} + 20 x^{10} + 5$
5.15.25.95 $x^{15} + 5 x^{13} + 10 x^{12} + 10 x^{11} + 15 x^{10} + 20 x^{5} + 5$ $5$ $15$ $1$ $25$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[23/12]$ $[23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 5 x^{13} + 10 x^{12} + 10 x^{11} + 15 x^{10} + 20 x^{5} + 5$
5.15.25.98 $x^{15} + 15 x^{14} + 5 x^{13} + 20 x^{12} + 15 x^{11} + 15 x^{10} + 5 x^{5} + 5$ $5$ $15$ $1$ $25$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[23/12]$ $[23/12, 23/12]_{12}^{2}$ $t + 3$ $x^{15} + 15 x^{14} + 5 x^{13} + 20 x^{12} + 15 x^{11} + 15 x^{10} + 5 x^{5} + 5$
5.15.27.104 $x^{15} + 5 x^{14} + 10 x^{13} + 15 x^{10} + 10 x^{5} + 75 x^{2} + 50 x + 55$ $5$ $15$ $1$ $27$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[25/12]$ $[25/12, 25/12]_{12}^{2}$ $t + 3$ $x^{15} + 5 x^{14} + 10 x^{13} + 15 x^{10} + 10 x^{5} + 75 x^{2} + 50 x + 55$
5.15.27.106 $x^{15} + 5 x^{13} + 10 x^{10} + 25 x + 105$ $5$ $15$ $1$ $27$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[25/12]$ $[25/12, 25/12]_{12}^{2}$ $t + 3$ $x^{15} + 5 x^{13} + 10 x^{10} + 25 x + 105$
5.15.27.130 $x^{15} + 5 x^{14} + 15 x^{13} + 5 x^{10} + 15 x^{5} + 75 x^{2} + 25 x + 30$ $5$ $15$ $1$ $27$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[25/12]$ $[25/12, 25/12]_{12}^{2}$ $t + 3$ $x^{15} + 5 x^{14} + 15 x^{13} + 5 x^{10} + 15 x^{5} + 75 x^{2} + 25 x + 30$
5.15.27.131 $x^{15} + 10 x^{13} + 15 x^{10} + 50 x^{2} + 50 x + 5$ $5$ $15$ $1$ $27$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[25/12]$ $[25/12, 25/12]_{12}^{2}$ $t + 3$ $x^{15} + 10 x^{13} + 15 x^{10} + 50 x^{2} + 50 x + 5$
5.15.27.133 $x^{15} + 15 x^{14} + 20 x^{13} + 20 x^{10} + 15 x^{5} + 50 x^{2} + 100 x + 80$ $5$ $15$ $1$ $27$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[25/12]$ $[25/12, 25/12]_{12}^{2}$ $t + 3$ $x^{15} + 15 x^{14} + 20 x^{13} + 20 x^{10} + 15 x^{5} + 50 x^{2} + 100 x + 80$
5.15.27.137 $x^{15} + 20 x^{13} + 75 x + 80$ $5$ $15$ $1$ $27$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[25/12]$ $[25/12, 25/12]_{12}^{2}$ $t + 3$ $x^{15} + 20 x^{13} + 75 x + 80$
5.15.27.138 $x^{15} + 15 x^{13} + 15 x^{10} + 5$ $5$ $15$ $1$ $27$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[25/12]$ $[25/12, 25/12]_{12}^{2}$ $t + 3$ $x^{15} + 15 x^{13} + 15 x^{10} + 5$
5.15.27.142 $x^{15} + 5 x^{13} + 20 x^{10} + 25 x^{2} + 100 x + 55$ $5$ $15$ $1$ $27$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[25/12]$ $[25/12, 25/12]_{12}^{2}$ $t + 3$ $x^{15} + 5 x^{13} + 20 x^{10} + 25 x^{2} + 100 x + 55$
5.15.27.49 $x^{15} + 20 x^{14} + 10 x^{13} + 20 x^{10} + 15 x^{5} + 100 x + 30$ $5$ $15$ $1$ $27$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[25/12]$ $[25/12, 25/12]_{12}^{2}$ $t + 3$ $x^{15} + 20 x^{14} + 10 x^{13} + 20 x^{10} + 15 x^{5} + 100 x + 30$
5.15.27.50 $x^{15} + 20 x^{14} + 5 x^{13} + 10 x^{10} + 5 x^{5} + 100 x^{2} + 100 x + 105$ $5$ $15$ $1$ $27$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[25/12]$ $[25/12, 25/12]_{12}^{2}$ $t + 3$ $x^{15} + 20 x^{14} + 5 x^{13} + 10 x^{10} + 5 x^{5} + 100 x^{2} + 100 x + 105$
5.15.27.51 $x^{15} + 20 x^{13} + 20 x^{10} + 25 x^{2} + 50 x + 105$ $5$ $15$ $1$ $27$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[25/12]$ $[25/12, 25/12]_{12}^{2}$ $t + 3$ $x^{15} + 20 x^{13} + 20 x^{10} + 25 x^{2} + 50 x + 105$
5.15.27.54 $x^{15} + 10 x^{14} + 15 x^{13} + 5 x^{5} + 75 x^{2} + 100 x + 5$ $5$ $15$ $1$ $27$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[25/12]$ $[25/12, 25/12]_{12}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 15 x^{13} + 5 x^{5} + 75 x^{2} + 100 x + 5$
5.15.27.58 $x^{15} + 5 x^{14} + 10 x^{13} + 15 x^{10} + 10 x^{5} + 75 x^{2} + 50 x + 80$ $5$ $15$ $1$ $27$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[25/12]$ $[25/12, 25/12]_{12}^{2}$ $t + 3$ $x^{15} + 5 x^{14} + 10 x^{13} + 15 x^{10} + 10 x^{5} + 75 x^{2} + 50 x + 80$
5.15.27.69 $x^{15} + 5 x^{14} + 10 x^{13} + 20 x^{10} + 10 x^{5} + 5$ $5$ $15$ $1$ $27$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[25/12]$ $[25/12, 25/12]_{12}^{2}$ $t + 3$ $x^{15} + 5 x^{14} + 10 x^{13} + 20 x^{10} + 10 x^{5} + 5$
5.15.27.73 $x^{15} + 5 x^{13} + 20 x^{10} + 50 x^{2} + 25 x + 80$ $5$ $15$ $1$ $27$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[25/12]$ $[25/12, 25/12]_{12}^{2}$ $t + 3$ $x^{15} + 5 x^{13} + 20 x^{10} + 50 x^{2} + 25 x + 80$
5.15.27.82 $x^{15} + 10 x^{14} + 20 x^{13} + 5 x^{10} + 10 x^{5} + 100 x^{2} + 55$ $5$ $15$ $1$ $27$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[25/12]$ $[25/12, 25/12]_{12}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 20 x^{13} + 5 x^{10} + 10 x^{5} + 100 x^{2} + 55$
5.15.27.85 $x^{15} + 5 x^{13} + 20 x^{10} + 75 x^{2} + 5$ $5$ $15$ $1$ $27$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[25/12]$ $[25/12, 25/12]_{12}^{2}$ $t + 3$ $x^{15} + 5 x^{13} + 20 x^{10} + 75 x^{2} + 5$
5.15.27.88 $x^{15} + 15 x^{13} + 10 x^{10} + 75 x^{2} + 25 x + 30$ $5$ $15$ $1$ $27$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[25/12]$ $[25/12, 25/12]_{12}^{2}$ $t + 3$ $x^{15} + 15 x^{13} + 10 x^{10} + 75 x^{2} + 25 x + 30$
5.15.27.94 $x^{15} + 10 x^{14} + 20 x^{13} + 10 x^{10} + 10 x^{5} + 50 x^{2} + 80$ $5$ $15$ $1$ $27$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[25/12]$ $[25/12, 25/12]_{12}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 20 x^{13} + 10 x^{10} + 10 x^{5} + 50 x^{2} + 80$
5.15.27.96 $x^{15} + 20 x^{14} + 15 x^{13} + 10 x^{10} + 10 x^{5} + 100 x^{2} + 55$ $5$ $15$ $1$ $27$ $C_5^2:(C_4\times S_3)$ (as 15T27) $[25/12]$ $[25/12, 25/12]_{12}^{2}$ $t + 3$ $x^{15} + 20 x^{14} + 15 x^{13} + 10 x^{10} + 10 x^{5} + 100 x^{2} + 55$
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