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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
2.16.79.2515 $x^{16} + 48 x^{14} + 40 x^{12} + 32 x^{11} + 32 x^{9} + 52 x^{8} + 32 x^{7} + 48 x^{6} + 32 x^{5} + 32 x^{4} + 34$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 48 x^{14} + 40 x^{12} + 32 x^{11} + 32 x^{9} + 52 x^{8} + 32 x^{7} + 48 x^{6} + 32 x^{5} + 32 x^{4} + 34$
2.16.79.2516 $x^{16} + 16 x^{14} + 40 x^{12} + 32 x^{11} + 32 x^{9} + 36 x^{8} + 16 x^{6} + 32 x^{5} + 32 x^{4} + 34$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 16 x^{14} + 40 x^{12} + 32 x^{11} + 32 x^{9} + 36 x^{8} + 16 x^{6} + 32 x^{5} + 32 x^{4} + 34$
2.16.79.2517 $x^{16} + 32 x^{13} + 56 x^{12} + 4 x^{8} + 32 x^{7} + 48 x^{6} + 32 x^{5} + 32 x^{2} + 98$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 32 x^{13} + 56 x^{12} + 4 x^{8} + 32 x^{7} + 48 x^{6} + 32 x^{5} + 32 x^{2} + 98$
2.16.79.2518 $x^{16} + 56 x^{12} + 32 x^{11} + 4 x^{8} + 32 x^{7} + 48 x^{6} + 32 x^{5} + 32 x^{2} + 34$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 56 x^{12} + 32 x^{11} + 4 x^{8} + 32 x^{7} + 48 x^{6} + 32 x^{5} + 32 x^{2} + 34$
2.16.79.2519 $x^{16} + 32 x^{13} + 24 x^{12} + 48 x^{10} + 32 x^{9} + 4 x^{8} + 32 x^{7} + 48 x^{6} + 32 x^{5} + 34$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 32 x^{13} + 24 x^{12} + 48 x^{10} + 32 x^{9} + 4 x^{8} + 32 x^{7} + 48 x^{6} + 32 x^{5} + 34$
2.16.79.2520 $x^{16} + 16 x^{14} + 40 x^{12} + 32 x^{9} + 4 x^{8} + 48 x^{6} + 32 x^{5} + 32 x^{4} + 98$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 16 x^{14} + 40 x^{12} + 32 x^{9} + 4 x^{8} + 48 x^{6} + 32 x^{5} + 32 x^{4} + 98$
2.16.79.2521 $x^{16} + 48 x^{14} + 56 x^{12} + 32 x^{11} + 32 x^{10} + 32 x^{9} + 20 x^{8} + 48 x^{6} + 32 x^{5} + 98$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 48 x^{14} + 56 x^{12} + 32 x^{11} + 32 x^{10} + 32 x^{9} + 20 x^{8} + 48 x^{6} + 32 x^{5} + 98$
2.16.79.2522 $x^{16} + 32 x^{15} + 16 x^{14} + 56 x^{12} + 32 x^{9} + 20 x^{8} + 48 x^{6} + 32 x^{5} + 98$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 32 x^{15} + 16 x^{14} + 56 x^{12} + 32 x^{9} + 20 x^{8} + 48 x^{6} + 32 x^{5} + 98$
2.16.79.2523 $x^{16} + 32 x^{13} + 24 x^{12} + 48 x^{10} + 32 x^{9} + 4 x^{8} + 32 x^{7} + 48 x^{6} + 32 x^{5} + 98$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 32 x^{13} + 24 x^{12} + 48 x^{10} + 32 x^{9} + 4 x^{8} + 32 x^{7} + 48 x^{6} + 32 x^{5} + 98$
2.16.79.2524 $x^{16} + 16 x^{14} + 40 x^{12} + 32 x^{9} + 4 x^{8} + 48 x^{6} + 32 x^{5} + 32 x^{4} + 34$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 16 x^{14} + 40 x^{12} + 32 x^{9} + 4 x^{8} + 48 x^{6} + 32 x^{5} + 32 x^{4} + 34$
2.16.79.2525 $x^{16} + 56 x^{12} + 32 x^{11} + 4 x^{8} + 32 x^{7} + 48 x^{6} + 32 x^{5} + 32 x^{2} + 98$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 56 x^{12} + 32 x^{11} + 4 x^{8} + 32 x^{7} + 48 x^{6} + 32 x^{5} + 32 x^{2} + 98$
2.16.79.2526 $x^{16} + 32 x^{13} + 56 x^{12} + 4 x^{8} + 32 x^{7} + 48 x^{6} + 32 x^{5} + 32 x^{2} + 34$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 32 x^{13} + 56 x^{12} + 4 x^{8} + 32 x^{7} + 48 x^{6} + 32 x^{5} + 32 x^{2} + 34$
2.16.79.2527 $x^{16} + 48 x^{14} + 40 x^{12} + 32 x^{11} + 32 x^{9} + 52 x^{8} + 32 x^{7} + 48 x^{6} + 32 x^{5} + 32 x^{4} + 98$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 48 x^{14} + 40 x^{12} + 32 x^{11} + 32 x^{9} + 52 x^{8} + 32 x^{7} + 48 x^{6} + 32 x^{5} + 32 x^{4} + 98$
2.16.79.2528 $x^{16} + 16 x^{14} + 40 x^{12} + 32 x^{11} + 32 x^{9} + 36 x^{8} + 16 x^{6} + 32 x^{5} + 32 x^{4} + 98$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 16 x^{14} + 40 x^{12} + 32 x^{11} + 32 x^{9} + 36 x^{8} + 16 x^{6} + 32 x^{5} + 32 x^{4} + 98$
2.16.79.2529 $x^{16} + 16 x^{14} + 8 x^{12} + 32 x^{11} + 48 x^{10} + 4 x^{8} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 2$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 16 x^{14} + 8 x^{12} + 32 x^{11} + 48 x^{10} + 4 x^{8} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 2$
2.16.79.2530 $x^{16} + 24 x^{12} + 32 x^{11} + 16 x^{10} + 32 x^{9} + 36 x^{8} + 16 x^{6} + 32 x^{5} + 66$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 24 x^{12} + 32 x^{11} + 16 x^{10} + 32 x^{9} + 36 x^{8} + 16 x^{6} + 32 x^{5} + 66$
2.16.79.2531 $x^{16} + 48 x^{14} + 8 x^{12} + 32 x^{11} + 16 x^{10} + 4 x^{8} + 32 x^{7} + 48 x^{6} + 32 x^{5} + 2$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 48 x^{14} + 8 x^{12} + 32 x^{11} + 16 x^{10} + 4 x^{8} + 32 x^{7} + 48 x^{6} + 32 x^{5} + 2$
2.16.79.2532 $x^{16} + 40 x^{12} + 32 x^{10} + 32 x^{9} + 36 x^{8} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 2$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 40 x^{12} + 32 x^{10} + 32 x^{9} + 36 x^{8} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 2$
2.16.79.2533 $x^{16} + 40 x^{12} + 32 x^{11} + 32 x^{9} + 36 x^{8} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 2$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 40 x^{12} + 32 x^{11} + 32 x^{9} + 36 x^{8} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 2$
2.16.79.2534 $x^{16} + 40 x^{12} + 32 x^{10} + 36 x^{8} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 2$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 40 x^{12} + 32 x^{10} + 36 x^{8} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 2$
2.16.79.2535 $x^{16} + 32 x^{15} + 24 x^{12} + 16 x^{10} + 32 x^{9} + 36 x^{8} + 16 x^{6} + 32 x^{5} + 2$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 32 x^{15} + 24 x^{12} + 16 x^{10} + 32 x^{9} + 36 x^{8} + 16 x^{6} + 32 x^{5} + 2$
2.16.79.2536 $x^{16} + 8 x^{12} + 32 x^{10} + 36 x^{8} + 32 x^{7} + 48 x^{6} + 32 x^{5} + 2$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 8 x^{12} + 32 x^{10} + 36 x^{8} + 32 x^{7} + 48 x^{6} + 32 x^{5} + 2$
2.16.79.2537 $x^{16} + 32 x^{15} + 16 x^{14} + 56 x^{12} + 32 x^{9} + 20 x^{8} + 48 x^{6} + 32 x^{5} + 34$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 32 x^{15} + 16 x^{14} + 56 x^{12} + 32 x^{9} + 20 x^{8} + 48 x^{6} + 32 x^{5} + 34$
2.16.79.2538 $x^{16} + 48 x^{14} + 56 x^{12} + 32 x^{11} + 32 x^{10} + 32 x^{9} + 20 x^{8} + 48 x^{6} + 32 x^{5} + 34$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 48 x^{14} + 56 x^{12} + 32 x^{11} + 32 x^{10} + 32 x^{9} + 20 x^{8} + 48 x^{6} + 32 x^{5} + 34$
2.16.79.2539 $x^{16} + 32 x^{15} + 56 x^{12} + 32 x^{10} + 32 x^{9} + 52 x^{8} + 32 x^{7} + 48 x^{6} + 32 x^{5} + 32 x^{4} + 2$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 32 x^{15} + 56 x^{12} + 32 x^{10} + 32 x^{9} + 52 x^{8} + 32 x^{7} + 48 x^{6} + 32 x^{5} + 32 x^{4} + 2$
2.16.79.2540 $x^{16} + 32 x^{15} + 32 x^{14} + 8 x^{12} + 32 x^{9} + 20 x^{8} + 48 x^{6} + 32 x^{5} + 66$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 32 x^{15} + 32 x^{14} + 8 x^{12} + 32 x^{9} + 20 x^{8} + 48 x^{6} + 32 x^{5} + 66$
2.16.79.2541 $x^{16} + 32 x^{15} + 8 x^{12} + 32 x^{11} + 32 x^{10} + 32 x^{9} + 20 x^{8} + 48 x^{6} + 32 x^{5} + 66$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 32 x^{15} + 8 x^{12} + 32 x^{11} + 32 x^{10} + 32 x^{9} + 20 x^{8} + 48 x^{6} + 32 x^{5} + 66$
2.16.79.2542 $x^{16} + 48 x^{14} + 40 x^{12} + 32 x^{11} + 32 x^{9} + 36 x^{8} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 32 x^{2} + 2$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 48 x^{14} + 40 x^{12} + 32 x^{11} + 32 x^{9} + 36 x^{8} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 32 x^{2} + 2$
2.16.79.2543 $x^{16} + 16 x^{14} + 24 x^{12} + 32 x^{11} + 32 x^{9} + 52 x^{8} + 32 x^{7} + 48 x^{6} + 32 x^{5} + 32 x^{2} + 2$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 16 x^{14} + 24 x^{12} + 32 x^{11} + 32 x^{9} + 52 x^{8} + 32 x^{7} + 48 x^{6} + 32 x^{5} + 32 x^{2} + 2$
2.16.79.2544 $x^{16} + 32 x^{15} + 32 x^{14} + 40 x^{12} + 52 x^{8} + 48 x^{6} + 32 x^{5} + 32 x^{4} + 66$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 32 x^{15} + 32 x^{14} + 40 x^{12} + 52 x^{8} + 48 x^{6} + 32 x^{5} + 32 x^{4} + 66$
2.16.79.2545 $x^{16} + 32 x^{15} + 32 x^{14} + 40 x^{12} + 32 x^{11} + 20 x^{8} + 16 x^{6} + 32 x^{5} + 32 x^{4} + 2$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 32 x^{15} + 32 x^{14} + 40 x^{12} + 32 x^{11} + 20 x^{8} + 16 x^{6} + 32 x^{5} + 32 x^{4} + 2$
2.16.79.2546 $x^{16} + 56 x^{12} + 16 x^{10} + 32 x^{9} + 20 x^{8} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 66$ $2$ $16$ $1$ $79$ $C_2^7.C_8$ (as 16T1155) $[3, 4, 5, 6]$ $[2, 3, 7/2, 4, 17/4, 19/4, 5, 41/8, 43/8, 6]$ $t + 1$ $x^{16} + 56 x^{12} + 16 x^{10} + 32 x^{9} + 20 x^{8} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 66$
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