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Label Polynomial $p$ $e$ $f$ $c$ Galois group Slope content
2.4.0.1 x4 - x + 1 $2$ $1$ $4$ $0$ $C_4$ (as 4T1) $ [\ ]^{4}$
2.4.4.1 x4 + 8x2 + 4 $2$ $2$ $2$ $4$ $C_2^2$ (as 4T2) $ [2]^{2}$
2.4.4.2 x4 - x2 + 5 $2$ $2$ $2$ $4$ $C_4$ (as 4T1) $ [2]^{2}$
2.4.4.3 x4 + 2x2 + 4x + 4 $2$ $2$ $2$ $4$ $D_{4}$ (as 4T3) $ [2, 2]^{2}$
2.4.4.4 x4 - 5 $2$ $2$ $2$ $4$ $D_{4}$ (as 4T3) $ [2, 2]^{2}$
2.4.4.5 x4 + 2x + 2 $2$ $4$ $1$ $4$ $S_4$ (as 4T5) $ [4/3, 4/3]_{3}^{2}$
2.4.6.1 x4 - 6x2 + 4 $2$ $2$ $2$ $6$ $C_2^2$ (as 4T2) $ [3]^{2}$
2.4.6.2 x4 - 2x2 + 4 $2$ $2$ $2$ $6$ $C_2^2$ (as 4T2) $ [3]^{2}$
2.4.6.3 x4 + 2x2 + 20 $2$ $2$ $2$ $6$ $C_4$ (as 4T1) $ [3]^{2}$
2.4.6.4 x4 - 2x2 + 20 $2$ $2$ $2$ $6$ $C_4$ (as 4T1) $ [3]^{2}$
2.4.6.5 x4 + 2x2 - 4 $2$ $2$ $2$ $6$ $D_{4}$ (as 4T3) $ [2, 3]^{2}$
2.4.6.6 x4 - 20 $2$ $2$ $2$ $6$ $D_{4}$ (as 4T3) $ [2, 3]^{2}$
2.4.6.7 x4 + 2x3 + 2x2 + 2 $2$ $4$ $1$ $6$ $A_4$ (as 4T4) $ [2, 2]^{3}$
2.4.6.8 x4 + 2x3 + 2 $2$ $4$ $1$ $6$ $D_{4}$ (as 4T3) $ [2, 2]^{2}$
2.4.6.9 x4 + 2x3 + 6 $2$ $4$ $1$ $6$ $D_{4}$ (as 4T3) $ [2, 2]^{2}$
2.4.8.1 x4 + 2x2 + 4x + 10 $2$ $4$ $1$ $8$ $C_2^2$ (as 4T2) $ [2, 3]$
2.4.8.2 x4 + 6x2 + 1 $2$ $4$ $1$ $8$ $C_2^2$ (as 4T2) $ [2, 3]$
2.4.8.3 x4 + 6x2 + 4x + 14 $2$ $4$ $1$ $8$ $C_2^2$ (as 4T2) $ [2, 3]$
2.4.8.4 x4 + 6x2 + 4x + 6 $2$ $4$ $1$ $8$ $C_2^2$ (as 4T2) $ [2, 3]$
2.4.8.5 x4 + 2x2 + 4x + 6 $2$ $4$ $1$ $8$ $D_{4}$ (as 4T3) $ [2, 3]^{2}$
2.4.8.6 x4 + 6x2 + 4x + 2 $2$ $4$ $1$ $8$ $D_{4}$ (as 4T3) $ [2, 3]^{2}$
2.4.8.7 x4 + 4x2 + 4x + 2 $2$ $4$ $1$ $8$ $S_4$ (as 4T5) $ [8/3, 8/3]_{3}^{2}$
2.4.8.8 x4 + 4x + 2 $2$ $4$ $1$ $8$ $S_4$ (as 4T5) $ [8/3, 8/3]_{3}^{2}$
2.4.9.1 x4 + 6x2 + 2 $2$ $4$ $1$ $9$ $D_{4}$ (as 4T3) $ [2, 3, 7/2]$
2.4.9.2 x4 - 2x2 + 2 $2$ $4$ $1$ $9$ $D_{4}$ (as 4T3) $ [2, 3, 7/2]$
2.4.9.3 x4 + 6x2 + 10 $2$ $4$ $1$ $9$ $D_{4}$ (as 4T3) $ [2, 3, 7/2]$
2.4.9.4 x4 + 2x2 + 10 $2$ $4$ $1$ $9$ $D_{4}$ (as 4T3) $ [2, 3, 7/2]$
2.4.9.5 x4 + 2x2 - 2 $2$ $4$ $1$ $9$ $D_{4}$ (as 4T3) $ [2, 3, 7/2]$
2.4.9.6 x4 - 2x2 - 2 $2$ $4$ $1$ $9$ $D_{4}$ (as 4T3) $ [2, 3, 7/2]$
2.4.9.7 x4 + 2x2 + 6 $2$ $4$ $1$ $9$ $D_{4}$ (as 4T3) $ [2, 3, 7/2]$
2.4.9.8 x4 - 2x2 + 6 $2$ $4$ $1$ $9$ $D_{4}$ (as 4T3) $ [2, 3, 7/2]$
2.4.10.1 x4 + 2x2 - 9 $2$ $4$ $1$ $10$ $D_{4}$ (as 4T3) $ [2, 3, 7/2]$
2.4.10.2 x4 + 2x2 - 1 $2$ $4$ $1$ $10$ $D_{4}$ (as 4T3) $ [2, 3, 7/2]$
2.4.10.3 x4 + 6x2 - 9 $2$ $4$ $1$ $10$ $D_{4}$ (as 4T3) $ [2, 3, 7/2]$
2.4.10.4 x4 + 6x2 - 1 $2$ $4$ $1$ $10$ $D_{4}$ (as 4T3) $ [2, 3, 7/2]$
2.4.10.5 x4 - 6x2 + 3 $2$ $4$ $1$ $10$ $D_{4}$ (as 4T3) $ [2, 3, 7/2]$
2.4.10.6 x4 + 6x2 + 3 $2$ $4$ $1$ $10$ $D_{4}$ (as 4T3) $ [2, 3, 7/2]$
2.4.10.7 x4 - 2x2 + 3 $2$ $4$ $1$ $10$ $D_{4}$ (as 4T3) $ [2, 3, 7/2]$
2.4.10.8 x4 + 2x2 + 3 $2$ $4$ $1$ $10$ $D_{4}$ (as 4T3) $ [2, 3, 7/2]$
2.4.11.1 x4 + 12x2 + 2 $2$ $4$ $1$ $11$ $C_4$ (as 4T1) $ [3, 4]$
2.4.11.10 x4 + 8x + 6 $2$ $4$ $1$ $11$ $C_4$ (as 4T1) $ [3, 4]$
2.4.11.11 x4 + 10 $2$ $4$ $1$ $11$ $D_{4}$ (as 4T3) $ [2, 3, 4]$
2.4.11.12 x4 + 26 $2$ $4$ $1$ $11$ $D_{4}$ (as 4T3) $ [2, 3, 4]$
2.4.11.13 x4 + 4x2 + 14 $2$ $4$ $1$ $11$ $D_{4}$ (as 4T3) $ [3, 4]^{2}$
2.4.11.14 x4 + 8x + 10 $2$ $4$ $1$ $11$ $D_{4}$ (as 4T3) $ [3, 4]^{2}$
2.4.11.15 x4 + 30 $2$ $4$ $1$ $11$ $D_{4}$ (as 4T3) $ [2, 3, 4]$
2.4.11.16 x4 + 14 $2$ $4$ $1$ $11$ $D_{4}$ (as 4T3) $ [2, 3, 4]$
2.4.11.17 x4 + 4x2 + 6 $2$ $4$ $1$ $11$ $D_{4}$ (as 4T3) $ [3, 4]^{2}$
2.4.11.18 x4 + 12x2 + 6 $2$ $4$ $1$ $11$ $D_{4}$ (as 4T3) $ [3, 4]^{2}$
2.4.11.19 x4 + 22 $2$ $4$ $1$ $11$ $D_{4}$ (as 4T3) $ [2, 3, 4]$
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