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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content
2.8.8.1 x8 + 28x4 + 144 $2$ $2$ $4$ $8$ $C_4\times C_2$ (as 8T2) $[2]$ $[2]^{4}$
2.8.12.1 x8 + 6x6 + 8x5 + 16 $2$ $2$ $4$ $12$ $C_4\times C_2$ (as 8T2) $[3]$ $[3]^{4}$
2.8.12.2 x8 + 2x6 + 8x4 + 16 $2$ $2$ $4$ $12$ $C_4\times C_2$ (as 8T2) $[3]$ $[3]^{4}$
2.8.16.1 x8 + 6x6 + 2x4 + 4x2 + 8x + 12 $2$ $4$ $2$ $16$ $C_4\times C_2$ (as 8T2) $[2,3]$ $[2, 3]^{2}$
2.8.16.2 x8 + 2x6 + 6x4 + 4x2 + 8x + 20 $2$ $4$ $2$ $16$ $C_4\times C_2$ (as 8T2) $[2,3]$ $[2, 3]^{2}$
2.8.16.3 x8 + 2x6 + 6x4 + 4x2 + 8x + 28 $2$ $4$ $2$ $16$ $C_4\times C_2$ (as 8T2) $[2,3]$ $[2, 3]^{2}$
2.8.22.2 x8 + 10x4 + 16x + 4 $2$ $4$ $2$ $22$ $C_4\times C_2$ (as 8T2) $[3,4]$ $[3, 4]^{2}$
2.8.22.5 x8 + 10x4 + 16x + 36 $2$ $4$ $2$ $22$ $C_4\times C_2$ (as 8T2) $[3,4]$ $[3, 4]^{2}$
2.8.22.6 x8 + 4x6 + 6x4 + 16x3 + 24x2 + 36 $2$ $4$ $2$ $22$ $C_4\times C_2$ (as 8T2) $[3,4]$ $[3, 4]^{2}$
2.8.22.7 x8 + 2x4 + 16x + 4 $2$ $4$ $2$ $22$ $C_4\times C_2$ (as 8T2) $[3,4]$ $[3, 4]^{2}$
2.8.24.1 x8 + 14x4 + 4x2 + 8x + 22 $2$ $8$ $1$ $24$ $C_4\times C_2$ (as 8T2) $[2,3,4]$ $[2, 3, 4]$
2.8.24.10 x8 + 16 $2$ $8$ $1$ $24$ $C_4\times C_2$ (as 8T2) $[2,3,4]$ $[2, 3, 4]$
2.8.24.11 x8 + 8x7 + 8x5 + 2x4 + 12x2 + 8x + 26 $2$ $8$ $1$ $24$ $C_4\times C_2$ (as 8T2) $[2,3,4]$ $[2, 3, 4]$
2.8.24.13 x8 + 28x4 + 36 $2$ $8$ $1$ $24$ $C_4\times C_2$ (as 8T2) $[2,3,4]$ $[2, 3, 4]$
2.8.24.2 x8 + 14x4 + 4x2 + 8x + 6 $2$ $8$ $1$ $24$ $C_4\times C_2$ (as 8T2) $[2,3,4]$ $[2, 3, 4]$
2.8.24.5 x8 - 15 $2$ $8$ $1$ $24$ $C_4\times C_2$ (as 8T2) $[2,3,4]$ $[2, 3, 4]$
2.8.24.7 x8 + 8x7 + 12x6 + 10x4 + 8x3 + 4x2 + 8x + 14 $2$ $8$ $1$ $24$ $C_4\times C_2$ (as 8T2) $[2,3,4]$ $[2, 3, 4]$
2.8.24.9 x8 + 8x7 + 14x4 + 4x2 + 8x + 30 $2$ $8$ $1$ $24$ $C_4\times C_2$ (as 8T2) $[2,3,4]$ $[2, 3, 4]$
3.8.4.1 x8 + 36x4 - 27x2 + 324 $3$ $2$ $4$ $4$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{2}^{4}$
5.8.4.1 x8 + 10x6 + 125x4 + 2500 $5$ $2$ $4$ $4$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{2}^{4}$
5.8.6.1 x8 - 5x4 + 400 $5$ $4$ $2$ $6$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{4}^{2}$
5.8.6.2 x8 + 15x4 + 100 $5$ $4$ $2$ $6$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{4}^{2}$
7.8.4.1 x8 + 14x6 + 539x4 + 343x2 + 60025 $7$ $2$ $4$ $4$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{2}^{4}$
11.8.4.1 x8 + 484x4 - 1331x2 + 58564 $11$ $2$ $4$ $4$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{2}^{4}$
13.8.4.1 x8 + 26x6 + 845x4 + 6591x2 + 114244 $13$ $2$ $4$ $4$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{2}^{4}$
13.8.6.1 x8 - 13x4 + 2704 $13$ $4$ $2$ $6$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{4}^{2}$
13.8.6.2 x8 + 39x4 + 676 $13$ $4$ $2$ $6$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{4}^{2}$
17.8.4.1 x8 + 6358x4 - 4913x2 + 10106041 $17$ $2$ $4$ $4$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{2}^{4}$
17.8.6.1 x8 - 119x4 + 23409 $17$ $4$ $2$ $6$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{4}^{2}$
17.8.6.2 x8 + 85x4 + 2601 $17$ $4$ $2$ $6$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{4}^{2}$
19.8.4.1 x8 + 7220x4 - 27436x2 + 13032100 $19$ $2$ $4$ $4$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{2}^{4}$
23.8.4.1 x8 + 11638x4 - 12167x2 + 33860761 $23$ $2$ $4$ $4$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{2}^{4}$
29.8.4.1 x8 + 31958x4 - 24389x2 + 255328441 $29$ $2$ $4$ $4$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{2}^{4}$
29.8.6.1 x8 - 203x4 + 68121 $29$ $4$ $2$ $6$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{4}^{2}$
29.8.6.2 x8 + 145x4 + 7569 $29$ $4$ $2$ $6$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{4}^{2}$
31.8.4.1 x8 + 32674x4 - 119164x2 + 266897569 $31$ $2$ $4$ $4$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{2}^{4}$
37.8.4.1 x8 + 5476x4 - 50653x2 + 7496644 $37$ $2$ $4$ $4$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{2}^{4}$
37.8.6.1 x8 - 1147x4 + 855625 $37$ $4$ $2$ $6$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{4}^{2}$
37.8.6.2 x8 + 333x4 + 34225 $37$ $4$ $2$ $6$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{4}^{2}$
41.8.4.1 x8 + 57154x4 - 68921x2 + 816644929 $41$ $2$ $4$ $4$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{2}^{4}$
41.8.6.1 x8 - 9881x4 + 34857216 $41$ $4$ $2$ $6$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{4}^{2}$
41.8.6.2 x8 + 943x4 + 242064 $41$ $4$ $2$ $6$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{4}^{2}$
43.8.4.1 x8 + 73960x4 - 79507x2 + 1367520400 $43$ $2$ $4$ $4$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{2}^{4}$
47.8.4.1 x8 + 172302x4 - 103823x2 + 7421994801 $47$ $2$ $4$ $4$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{2}^{4}$
53.8.4.1 x8 + 101124x4 - 148877x2 + 2556515844 $53$ $2$ $4$ $4$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{2}^{4}$
53.8.6.1 x8 - 1643x4 + 1755625 $53$ $4$ $2$ $6$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{4}^{2}$
53.8.6.2 x8 + 477x4 + 70225 $53$ $4$ $2$ $6$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{4}^{2}$
59.8.4.1 x8 + 97468x4 - 205379x2 + 2375002756 $59$ $2$ $4$ $4$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{2}^{4}$
61.8.4.1 x8 + 14884x4 - 226981x2 + 55383364 $61$ $2$ $4$ $4$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{2}^{4}$
61.8.6.1 x8 - 61x4 + 59536 $61$ $4$ $2$ $6$ $C_4\times C_2$ (as 8T2) $[\ ]$ $[\ ]_{4}^{2}$
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