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## Results (1-50 of 1823 matches)

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Label Polynomial $p$ $e$ $f$ $c$ Galois group Slope content
2.8.0.1 x8 + x4 + x3 + x + 1 $2$ $1$ $8$ $0$ $C_8$ (as 8T1) $[\ ]^{8}$
2.8.8.1 x8 + 28x4 + 144 $2$ $2$ $4$ $8$ $C_4\times C_2$ (as 8T2) $[2]^{4}$
2.8.8.10 x8 + 2x6 + 8x3 + 16 $2$ $2$ $4$ $8$ $((C_8 : C_2):C_2):C_2$ (as 8T27) $[2, 2, 2, 2]^{4}$
2.8.8.11 x8 + 20x2 + 4 $2$ $4$ $2$ $8$ $S_4$ (as 8T14) $[4/3, 4/3]_{3}^{2}$
2.8.8.12 x8 + 2x5 + 2x4 + 4 $2$ $4$ $2$ $8$ $A_4\wr C_2$ (as 8T42) $[4/3, 4/3, 4/3, 4/3]_{3}^{6}$
2.8.8.13 x8 + 2x + 2 $2$ $8$ $1$ $8$ $C_2^3:(C_7: C_3)$ (as 8T36) $[8/7, 8/7, 8/7]_{7}^{3}$
2.8.8.2 x8 + 2x7 + 8x2 + 48 $2$ $2$ $4$ $8$ $C_2^2:C_4$ (as 8T10) $[2, 2]^{4}$
2.8.8.3 x8 + 2x7 + 2x6 + 16 $2$ $2$ $4$ $8$ $C_2^3: C_4$ (as 8T20) $[2, 2, 2]^{4}$
2.8.8.4 x8 + 2x7 + 2x6 + 8x3 + 48 $2$ $2$ $4$ $8$ $C_8$ (as 8T1) $[2]^{4}$
2.8.8.5 x8 + 2x7 + 8x2 + 16 $2$ $2$ $4$ $8$ $C_8:C_2$ (as 8T7) $[2, 2]^{4}$
2.8.8.6 x8 + 2x7 + 2x6 + 16x2 + 16 $2$ $2$ $4$ $8$ $(C_8:C_2):C_2$ (as 8T16) $[2, 2, 2]^{4}$
2.8.8.7 x8 + 2x6 + 4x5 + 16 $2$ $2$ $4$ $8$ $((C_8 : C_2):C_2):C_2$ (as 8T27) $[2, 2, 2, 2]^{4}$
2.8.8.8 x8 + 4x5 + 8x2 + 48 $2$ $2$ $4$ $8$ $((C_8 : C_2):C_2):C_2$ (as 8T27) $[2, 2, 2, 2]^{4}$
2.8.8.9 x8 + 6x6 + 4x5 + 16 $2$ $2$ $4$ $8$ $((C_8 : C_2):C_2):C_2$ (as 8T27) $[2, 2, 2, 2]^{4}$
2.8.10.1 x8 + 2x3 + 2 $2$ $8$ $1$ $10$ $C_2^3:(C_7: C_3)$ (as 8T36) $[10/7, 10/7, 10/7]_{7}^{3}$
2.8.10.2 x8 + 20x2 + 20 $2$ $8$ $1$ $10$ $\textrm{GL(2,3)}$ (as 8T23) $[4/3, 4/3, 3/2]_{3}^{2}$
2.8.10.3 x8 + 4x2 + 20 $2$ $8$ $1$ $10$ $\textrm{GL(2,3)}$ (as 8T23) $[4/3, 4/3, 3/2]_{3}^{2}$
2.8.12.1 x8 + 6x6 + 8x5 + 16 $2$ $2$ $4$ $12$ $C_4\times C_2$ (as 8T2) $[3]^{4}$
2.8.12.10 x8 + 2x6 + 112 $2$ $2$ $4$ $12$ $((C_8 : C_2):C_2):C_2$ (as 8T27) $[2, 2, 2, 3]^{4}$
2.8.12.11 x8 + 6x6 + 48 $2$ $2$ $4$ $12$ $((C_8 : C_2):C_2):C_2$ (as 8T27) $[2, 2, 2, 3]^{4}$
2.8.12.12 x8 + 2x6 + 48 $2$ $2$ $4$ $12$ $((C_8 : C_2):C_2):C_2$ (as 8T27) $[2, 2, 2, 3]^{4}$
2.8.12.13 x8 + 12x4 + 16 $2$ $4$ $2$ $12$ $D_4$ (as 8T4) $[2, 2]^{2}$
2.8.12.14 x8 + 12x4 + 144 $2$ $4$ $2$ $12$ $D_4$ (as 8T4) $[2, 2]^{2}$
2.8.12.15 x8 + 2x7 + 2x4 + 12 $2$ $4$ $2$ $12$ $C_2^2:C_4$ (as 8T10) $[2, 2]^{4}$
2.8.12.16 x8 + 24x2 + 4 $2$ $4$ $2$ $12$ $A_4\times C_2$ (as 8T13) $[2, 2]^{6}$
2.8.12.17 x8 + 2x7 + 2x6 + 2x4 + 4 $2$ $4$ $2$ $12$ $C_2^4:C_6$ (as 8T33) $[2, 2, 2, 2]^{6}$
2.8.12.18 x8 + 8x7 + 48 $2$ $4$ $2$ $12$ $C_2^4:C_6$ (as 8T33) $[2, 2, 2, 2]^{6}$
2.8.12.19 x8 + 12x4 + 80 $2$ $4$ $2$ $12$ $(C_8:C_2):C_2$ (as 8T16) $[2, 2, 2]^{4}$
2.8.12.2 x8 + 2x6 + 8x4 + 16 $2$ $2$ $4$ $12$ $C_4\times C_2$ (as 8T2) $[3]^{4}$
2.8.12.20 x8 + 8x6 + 12x4 + 80 $2$ $4$ $2$ $12$ $C_2^3: C_4$ (as 8T21) $[2, 2, 2]^{4}$
2.8.12.21 x8 + 12x6 + 12x4 + 80 $2$ $4$ $2$ $12$ $(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) $[2, 2, 2, 2]^{4}$
2.8.12.22 x8 + 4x7 + 16x3 + 48 $2$ $4$ $2$ $12$ $(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) $[2, 2, 2, 2]^{4}$
2.8.12.23 x8 + 8x5 + 4x4 + 48 $2$ $4$ $2$ $12$ $(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) $[2, 2, 2, 2]^{4}$
2.8.12.24 x8 + 4x6 + 28x4 + 80 $2$ $4$ $2$ $12$ $(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) $[2, 2, 2, 2]^{4}$
2.8.12.25 x8 + 28x2 + 4 $2$ $8$ $1$ $12$ $S_4\times C_2$ (as 8T24) $[4/3, 4/3, 2]_{3}^{2}$
2.8.12.26 x8 + 12x2 + 4 $2$ $8$ $1$ $12$ $S_4\times C_2$ (as 8T24) $[4/3, 4/3, 2]_{3}^{2}$
2.8.12.27 x8 + 4x5 + 4 $2$ $8$ $1$ $12$ $C_2^3:(C_7: C_3)$ (as 8T36) $[12/7, 12/7, 12/7]_{7}^{3}$
2.8.12.28 x8 + 2x5 + 2 $2$ $8$ $1$ $12$ $C_2^3:(C_7: C_3)$ (as 8T36) $[12/7, 12/7, 12/7]_{7}^{3}$
2.8.12.29 x8 + 28x2 + 20 $2$ $8$ $1$ $12$ $\textrm{GL(2,3)}$ (as 8T23) $[4/3, 4/3, 2]_{3}^{2}$
2.8.12.3 x8 + 2x6 + 16x2 + 16 $2$ $2$ $4$ $12$ $C_2^2:C_4$ (as 8T10) $[2, 3]^{4}$
2.8.12.30 x8 + 12x2 + 20 $2$ $8$ $1$ $12$ $\textrm{GL(2,3)}$ (as 8T23) $[4/3, 4/3, 2]_{3}^{2}$
2.8.12.4 x8 + 2x6 + 16 $2$ $2$ $4$ $12$ $C_2^3: C_4$ (as 8T20) $[2, 2, 3]^{4}$
2.8.12.5 x8 + 6x6 + 8x5 + 80 $2$ $2$ $4$ $12$ $C_8$ (as 8T1) $[3]^{4}$
2.8.12.6 x8 + 2x6 + 8x4 + 80 $2$ $2$ $4$ $12$ $C_8$ (as 8T1) $[3]^{4}$
2.8.12.7 x8 + 4x6 + 8x2 + 80 $2$ $2$ $4$ $12$ $C_8:C_2$ (as 8T7) $[2, 3]^{4}$
2.8.12.8 x8 + 2x6 + 80 $2$ $2$ $4$ $12$ $(C_8:C_2):C_2$ (as 8T16) $[2, 2, 3]^{4}$
2.8.12.9 x8 + 6x6 + 112 $2$ $2$ $4$ $12$ $((C_8 : C_2):C_2):C_2$ (as 8T27) $[2, 2, 2, 3]^{4}$
2.8.14.1 x8 + 2x7 + 6 $2$ $8$ $1$ $14$ $A_4\times C_2$ (as 8T13) $[2, 2, 2]^{3}$
2.8.14.10 x8 + 4x2 + 28 $2$ $8$ $1$ $14$ $C_2 \wr S_4$ (as 8T44) $[4/3, 4/3, 2, 7/3, 7/3, 5/2]_{3}^{2}$
2.8.14.11 x8 + 20x2 + 12 $2$ $8$ $1$ $14$ $C_2 \wr S_4$ (as 8T44) $[4/3, 4/3, 2, 7/3, 7/3, 5/2]_{3}^{2}$
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