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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
5.15.20.1 $x^{15} + 15 x^{8} + 20 x^{7} + 10 x^{6} + 5$ $5$ $15$ $1$ $20$ $C_5^3:D_6$ (as 15T40) $[3/2]$ $[7/6, 7/6, 3/2]_{6}^{2}$ $t + 3$ $x^{15} + 15 x^{8} + 20 x^{7} + 10 x^{6} + 5$
5.15.20.10 $x^{15} + 10 x^{8} + 10 x^{7} + 10 x^{6} + 20 x^{5} + 5$ $5$ $15$ $1$ $20$ $C_5^3:D_6$ (as 15T40) $[3/2]$ $[7/6, 7/6, 3/2]_{6}^{2}$ $t + 3$ $x^{15} + 10 x^{8} + 10 x^{7} + 10 x^{6} + 20 x^{5} + 5$
5.15.20.13 $x^{15} + 20 x^{8} + 15 x^{6} + 5 x^{5} + 5$ $5$ $15$ $1$ $20$ $C_5^3:D_6$ (as 15T40) $[3/2]$ $[7/6, 7/6, 3/2]_{6}^{2}$ $t + 3$ $x^{15} + 20 x^{8} + 15 x^{6} + 5 x^{5} + 5$
5.15.20.14 $x^{15} + 15 x^{8} + 10 x^{7} + 15 x^{6} + 5 x^{5} + 5$ $5$ $15$ $1$ $20$ $C_5^3:D_6$ (as 15T40) $[3/2]$ $[7/6, 7/6, 3/2]_{6}^{2}$ $t + 3$ $x^{15} + 15 x^{8} + 10 x^{7} + 15 x^{6} + 5 x^{5} + 5$
5.15.20.2 $x^{15} + 20 x^{7} + 15 x^{6} + 5$ $5$ $15$ $1$ $20$ $C_5^3:D_6$ (as 15T40) $[3/2]$ $[7/6, 7/6, 3/2]_{6}^{2}$ $t + 3$ $x^{15} + 20 x^{7} + 15 x^{6} + 5$
5.15.20.3 $x^{15} + 15 x^{6} + 10 x^{5} + 5$ $5$ $15$ $1$ $20$ $C_5^3:D_6$ (as 15T40) $[3/2]$ $[7/6, 7/6, 3/2]_{6}^{2}$ $t + 3$ $x^{15} + 15 x^{6} + 10 x^{5} + 5$
5.15.20.5 $x^{15} + 10 x^{7} + 10 x^{6} + 5$ $5$ $15$ $1$ $20$ $C_5^3:D_6$ (as 15T40) $[3/2]$ $[7/6, 7/6, 3/2]_{6}^{2}$ $t + 3$ $x^{15} + 10 x^{7} + 10 x^{6} + 5$
5.15.20.8 $x^{15} + 10 x^{8} + 20 x^{7} + 10 x^{6} + 15 x^{5} + 5$ $5$ $15$ $1$ $20$ $C_5^3:D_6$ (as 15T40) $[3/2]$ $[7/6, 7/6, 3/2]_{6}^{2}$ $t + 3$ $x^{15} + 10 x^{8} + 20 x^{7} + 10 x^{6} + 15 x^{5} + 5$
5.15.28.100 $x^{15} + 10 x^{14} + 20 x^{10} + 5 x^{5} + 25 x + 5$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 20 x^{10} + 5 x^{5} + 25 x + 5$
5.15.28.16 $x^{15} + 15 x^{14} + 15 x^{10} + 100 x^{2} + 75 x + 55$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 15 x^{14} + 15 x^{10} + 100 x^{2} + 75 x + 55$
5.15.28.17 $x^{15} + 10 x^{14} + 15 x^{10} + 50 x^{2} + 5$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 15 x^{10} + 50 x^{2} + 5$
5.15.28.19 $x^{15} + 15 x^{14} + 5 x^{10} + 15 x^{5} + 50 x^{3} + 75 x + 80$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 15 x^{14} + 5 x^{10} + 15 x^{5} + 50 x^{3} + 75 x + 80$
5.15.28.2 $x^{15} + 10 x^{14} + 50 x^{3} + 25 x^{2} + 75 x + 30$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 50 x^{3} + 25 x^{2} + 75 x + 30$
5.15.28.23 $x^{15} + 10 x^{14} + 5 x^{10} + 15 x^{5} + 75 x^{3} + 75 x^{2} + 75 x + 5$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 5 x^{10} + 15 x^{5} + 75 x^{3} + 75 x^{2} + 75 x + 5$
5.15.28.25 $x^{15} + 15 x^{14} + 15 x^{10} + 15 x^{5} + 50 x^{2} + 100 x + 30$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 15 x^{14} + 15 x^{10} + 15 x^{5} + 50 x^{2} + 100 x + 30$
5.15.28.27 $x^{15} + 10 x^{14} + 15 x^{10} + 15 x^{5} + 100 x^{3} + 50 x^{2} + 50 x + 80$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 15 x^{10} + 15 x^{5} + 100 x^{3} + 50 x^{2} + 50 x + 80$
5.15.28.31 $x^{15} + 10 x^{14} + 5 x^{10} + 50 x^{3} + 75 x^{2} + 5$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 5 x^{10} + 50 x^{3} + 75 x^{2} + 5$
5.15.28.36 $x^{15} + 15 x^{14} + 15 x^{10} + 10 x^{5} + 75 x^{3} + 75 x + 105$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 15 x^{14} + 15 x^{10} + 10 x^{5} + 75 x^{3} + 75 x + 105$
5.15.28.37 $x^{15} + 15 x^{14} + 5 x^{10} + 15 x^{5} + 50 x + 105$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 15 x^{14} + 5 x^{10} + 15 x^{5} + 50 x + 105$
5.15.28.38 $x^{15} + 15 x^{14} + 20 x^{10} + 10 x^{5} + 75 x^{3} + 50 x^{2} + 30$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 15 x^{14} + 20 x^{10} + 10 x^{5} + 75 x^{3} + 50 x^{2} + 30$
5.15.28.4 $x^{15} + 15 x^{14} + 10 x^{10} + 5 x^{5} + 50 x^{3} + 25 x^{2} + 100 x + 55$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 15 x^{14} + 10 x^{10} + 5 x^{5} + 50 x^{3} + 25 x^{2} + 100 x + 55$
5.15.28.42 $x^{15} + 10 x^{14} + 5 x^{10} + 20 x^{5} + 50 x^{2} + 100 x + 55$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 5 x^{10} + 20 x^{5} + 50 x^{2} + 100 x + 55$
5.15.28.47 $x^{15} + 15 x^{14} + 20 x^{10} + 10 x^{5} + 100 x^{3} + 75 x^{2} + 75 x + 55$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 15 x^{14} + 20 x^{10} + 10 x^{5} + 100 x^{3} + 75 x^{2} + 75 x + 55$
5.15.28.49 $x^{15} + 15 x^{14} + 10 x^{5} + 75 x^{3} + 25 x + 80$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 15 x^{14} + 10 x^{5} + 75 x^{3} + 25 x + 80$
5.15.28.5 $x^{15} + 10 x^{14} + 15 x^{10} + 15 x^{5} + 100 x^{3} + 50 x^{2} + 100 x + 5$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 15 x^{10} + 15 x^{5} + 100 x^{3} + 50 x^{2} + 100 x + 5$
5.15.28.52 $x^{15} + 10 x^{14} + 100 x^{3} + 50 x^{2} + 50 x + 105$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 100 x^{3} + 50 x^{2} + 50 x + 105$
5.15.28.53 $x^{15} + 10 x^{14} + 15 x^{10} + 75 x^{3} + 75 x^{2} + 50 x + 5$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 15 x^{10} + 75 x^{3} + 75 x^{2} + 50 x + 5$
5.15.28.55 $x^{15} + 15 x^{14} + 5 x^{10} + 10 x^{5} + 75 x^{3} + 75 x^{2} + 75 x + 55$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 15 x^{14} + 5 x^{10} + 10 x^{5} + 75 x^{3} + 75 x^{2} + 75 x + 55$
5.15.28.56 $x^{15} + 15 x^{14} + 10 x^{10} + 10 x^{5} + 100 x^{3} + 25 x^{2} + 5$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 15 x^{14} + 10 x^{10} + 10 x^{5} + 100 x^{3} + 25 x^{2} + 5$
5.15.28.59 $x^{15} + 10 x^{14} + 20 x^{10} + 25 x^{3} + 25 x^{2} + 75 x + 30$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 20 x^{10} + 25 x^{3} + 25 x^{2} + 75 x + 30$
5.15.28.60 $x^{15} + 10 x^{14} + 5 x^{5} + 50 x^{3} + 25 x^{2} + 50 x + 55$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 5 x^{5} + 50 x^{3} + 25 x^{2} + 50 x + 55$
5.15.28.62 $x^{15} + 10 x^{14} + 5 x^{10} + 15 x^{5} + 50 x^{2} + 50 x + 30$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 5 x^{10} + 15 x^{5} + 50 x^{2} + 50 x + 30$
5.15.28.64 $x^{15} + 10 x^{14} + 15 x^{10} + 75 x^{3} + 75 x^{2} + 25 x + 80$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 15 x^{10} + 75 x^{3} + 75 x^{2} + 25 x + 80$
5.15.28.68 $x^{15} + 15 x^{14} + 15 x^{10} + 15 x^{5} + 75 x^{3} + 50 x^{2} + 25 x + 30$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 15 x^{14} + 15 x^{10} + 15 x^{5} + 75 x^{3} + 50 x^{2} + 25 x + 30$
5.15.28.7 $x^{15} + 10 x^{14} + 10 x^{10} + 50 x^{2} + 105$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 10 x^{10} + 50 x^{2} + 105$
5.15.28.71 $x^{15} + 10 x^{14} + 5 x^{10} + 10 x^{5} + 75 x^{3} + 25 x + 30$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 5 x^{10} + 10 x^{5} + 75 x^{3} + 25 x + 30$
5.15.28.74 $x^{15} + 15 x^{14} + 15 x^{10} + 10 x^{5} + 75 x^{3} + 50 x^{2} + 105$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 15 x^{14} + 15 x^{10} + 10 x^{5} + 75 x^{3} + 50 x^{2} + 105$
5.15.28.8 $x^{15} + 10 x^{14} + 20 x^{10} + 15 x^{5} + 25 x^{3} + 75 x^{2} + 75 x + 105$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 20 x^{10} + 15 x^{5} + 25 x^{3} + 75 x^{2} + 75 x + 105$
5.15.28.80 $x^{15} + 15 x^{14} + 20 x^{5} + 50 x^{3} + 50 x^{2} + 50 x + 105$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 15 x^{14} + 20 x^{5} + 50 x^{3} + 50 x^{2} + 50 x + 105$
5.15.28.82 $x^{15} + 15 x^{14} + 100 x^{3} + 25 x^{2} + 100 x + 30$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 15 x^{14} + 100 x^{3} + 25 x^{2} + 100 x + 30$
5.15.28.83 $x^{15} + 15 x^{14} + 15 x^{5} + 50 x^{3} + 50 x^{2} + 30$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 15 x^{14} + 15 x^{5} + 50 x^{3} + 50 x^{2} + 30$
5.15.28.86 $x^{15} + 15 x^{14} + 10 x^{10} + 10 x^{5} + 75 x^{3} + 100 x^{2} + 55$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 15 x^{14} + 10 x^{10} + 10 x^{5} + 75 x^{3} + 100 x^{2} + 55$
5.15.28.89 $x^{15} + 10 x^{14} + 5 x^{5} + 50 x^{3} + 100 x^{2} + 25 x + 55$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 5 x^{5} + 50 x^{3} + 100 x^{2} + 25 x + 55$
5.15.28.90 $x^{15} + 15 x^{14} + 15 x^{10} + 15 x^{5} + 75 x^{3} + 55$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 15 x^{14} + 15 x^{10} + 15 x^{5} + 75 x^{3} + 55$
5.15.28.92 $x^{15} + 10 x^{14} + 10 x^{10} + 100 x^{3} + 75 x^{2} + 75 x + 55$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 10 x^{10} + 100 x^{3} + 75 x^{2} + 75 x + 55$
5.15.28.93 $x^{15} + 15 x^{14} + 15 x^{10} + 10 x^{5} + 25 x^{3} + 25 x^{2} + 30$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 15 x^{14} + 15 x^{10} + 10 x^{5} + 25 x^{3} + 25 x^{2} + 30$
5.15.28.97 $x^{15} + 15 x^{14} + 10 x^{5} + 25 x^{3} + 25 x^{2} + 100 x + 5$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 15 x^{14} + 10 x^{5} + 25 x^{3} + 25 x^{2} + 100 x + 5$
5.15.28.99 $x^{15} + 10 x^{14} + 5 x^{10} + 5 x^{5} + 100 x^{3} + 100 x^{2} + 50 x + 5$ $5$ $15$ $1$ $28$ $C_5^3:D_6$ (as 15T40) $[13/6]$ $[3/2, 13/6, 13/6]_{6}^{2}$ $t + 3$ $x^{15} + 10 x^{14} + 5 x^{10} + 5 x^{5} + 100 x^{3} + 100 x^{2} + 50 x + 5$
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