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Label | Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
---|---|---|---|---|---|---|---|
3.3.0.1 | x3 + 2x + 1 | $3$ | $1$ | $3$ | $0$ | $C_3$ (as 3T1) | $[\ ]^{3}$ |
3.3.3.1 | x3 + 6x + 3 | $3$ | $3$ | $1$ | $3$ | $S_3$ (as 3T2) | $[3/2]_{2}$ |
3.3.3.2 | x3 + 3x + 3 | $3$ | $3$ | $1$ | $3$ | $S_3$ (as 3T2) | $[3/2]_{2}$ |
3.3.4.1 | x3 + 6x2 + 21 | $3$ | $3$ | $1$ | $4$ | $C_3$ (as 3T1) | $[2]$ |
3.3.4.2 | x3 + 6x2 + 3 | $3$ | $3$ | $1$ | $4$ | $C_3$ (as 3T1) | $[2]$ |
3.3.4.3 | x3 + 6x2 + 12 | $3$ | $3$ | $1$ | $4$ | $C_3$ (as 3T1) | $[2]$ |
3.3.4.4 | x3 + 3x2 + 3 | $3$ | $3$ | $1$ | $4$ | $S_3$ (as 3T2) | $[2]^{2}$ |
3.3.5.1 | x3 + 3 | $3$ | $3$ | $1$ | $5$ | $S_3$ (as 3T2) | $[5/2]_{2}$ |
3.3.5.2 | x3 + 18x + 3 | $3$ | $3$ | $1$ | $5$ | $S_3$ (as 3T2) | $[5/2]_{2}$ |
3.3.5.3 | x3 + 9x + 3 | $3$ | $3$ | $1$ | $5$ | $S_3$ (as 3T2) | $[5/2]_{2}$ |