Results (displaying matches 1-50 of 75) Next
| Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
|---|---|---|---|---|---|---|
| x6 - x + 2 | 3 | 1 | 6 | 0 | $C_6$ (as 6T1) | $ [\ ]^{6}$ |
| x6 - 6x4 + 9x2 - 27 | 3 | 2 | 3 | 3 | $C_6$ (as 6T1) | $ [\ ]_{2}^{3}$ |
| x6 - 9x2 + 27 | 3 | 2 | 3 | 3 | $C_6$ (as 6T1) | $ [\ ]_{2}^{3}$ |
| x6 + 3x5 - 2 | 3 | 3 | 2 | 6 | $C_3^2:C_4$ (as 6T10) | $ [3/2, 3/2]_{2}^{2}$ |
| x6 + 6x4 + 6x3 + 18 | 3 | 3 | 2 | 6 | $C_3^2:C_4$ (as 6T10) | $ [3/2, 3/2]_{2}^{2}$ |
| x6 + 3x4 + 9 | 3 | 3 | 2 | 6 | $D_{6}$ (as 6T3) | $ [3/2]_{2}^{2}$ |
| x6 + 3x4 + 6x3 + 9x2 + 63x + 9 | 3 | 3 | 2 | 6 | $D_{6}$ (as 6T3) | $ [3/2]_{2}^{2}$ |
| x6 + 6x3 + 9x2 + 9 | 3 | 3 | 2 | 6 | $S_3^2$ (as 6T9) | $ [3/2, 3/2]_{2}^{2}$ |
| x6 + 3x + 3 | 3 | 6 | 1 | 6 | $C_3^2:D_4$ (as 6T13) | $ [5/4, 5/4]_{4}^{2}$ |
| x6 + 3x + 6 | 3 | 6 | 1 | 6 | $C_3^2:D_4$ (as 6T13) | $ [5/4, 5/4]_{4}^{2}$ |
| x6 + 6x2 + 6 | 3 | 6 | 1 | 7 | $S_3$ (as 6T2) | $ [3/2]_{2}$ |
| x6 + 3x2 + 6 | 3 | 6 | 1 | 7 | $D_{6}$ (as 6T3) | $ [3/2]_{2}^{2}$ |
| x6 + 6x3 + 6x2 + 6 | 3 | 6 | 1 | 7 | $S_3\times C_3$ (as 6T5) | $ [3/2]_{2}^{3}$ |
| x6 + 3x2 + 3 | 3 | 6 | 1 | 7 | $S_3$ (as 6T2) | $ [3/2]_{2}$ |
| x6 + 6x2 + 3 | 3 | 6 | 1 | 7 | $D_{6}$ (as 6T3) | $ [3/2]_{2}^{2}$ |
| x6 + 3x3 + 3x2 + 3 | 3 | 6 | 1 | 7 | $S_3\times C_3$ (as 6T5) | $ [3/2]_{2}^{3}$ |
| x6 + 6x5 + 18x2 + 9 | 3 | 3 | 2 | 8 | $C_3^2:C_4$ (as 6T10) | $ [2, 2]^{4}$ |
| x6 + 6x5 + 36 | 3 | 3 | 2 | 8 | $S_3\times C_3$ (as 6T5) | $ [2, 2]^{2}$ |
| x6 + 6x5 + 9x2 + 9 | 3 | 3 | 2 | 8 | $C_3^2:C_4$ (as 6T10) | $ [2, 2]^{4}$ |
| x6 + 18x2 + 9 | 3 | 3 | 2 | 8 | $C_6$ (as 6T1) | $ [2]^{2}$ |
| x6 + 18x2 + 63 | 3 | 3 | 2 | 8 | $C_6$ (as 6T1) | $ [2]^{2}$ |
| x6 + 9x2 + 9 | 3 | 3 | 2 | 8 | $S_3$ (as 6T2) | $ [2]^{2}$ |
| x6 + 18x2 + 36 | 3 | 3 | 2 | 8 | $C_6$ (as 6T1) | $ [2]^{2}$ |
| x6 + 6x5 + 6x3 + 72 | 3 | 3 | 2 | 8 | $S_3\times C_3$ (as 6T5) | $ [2]^{6}$ |
| x6 + 3x5 + 63 | 3 | 3 | 2 | 8 | $S_3\times C_3$ (as 6T5) | $ [2, 2]^{2}$ |
| x6 + 6x5 + 9 | 3 | 3 | 2 | 8 | $S_3\times C_3$ (as 6T5) | $ [2, 2]^{2}$ |
| x6 + 3x4 + 15 | 3 | 6 | 1 | 9 | $C_6$ (as 6T1) | $ [2]_{2}$ |
| x6 + 6x4 + 3 | 3 | 6 | 1 | 9 | $C_6$ (as 6T1) | $ [2]_{2}$ |
| x6 + 6x4 + 12 | 3 | 6 | 1 | 9 | $C_6$ (as 6T1) | $ [2]_{2}$ |
| x6 + 3x4 + 3 | 3 | 6 | 1 | 9 | $D_{6}$ (as 6T3) | $ [2]_{2}^{2}$ |
| x6 + 6x5 + 6x4 + 21 | 3 | 6 | 1 | 9 | $S_3\times C_3$ (as 6T5) | $ [3/2, 2]_{2}$ |
| x6 + 6x5 + 6x4 + 12 | 3 | 6 | 1 | 9 | $S_3\times C_3$ (as 6T5) | $ [3/2, 2]_{2}$ |
| x6 + 6x4 + 6x3 + 12 | 3 | 6 | 1 | 9 | $S_3\times C_3$ (as 6T5) | $ [3/2, 2]_{2}$ |
| x6 + 3x4 + 6x3 + 3 | 3 | 6 | 1 | 9 | $S_3^2$ (as 6T9) | $ [3/2, 2]_{2}^{2}$ |
| x6 + 3x4 + 6 | 3 | 6 | 1 | 9 | $C_6$ (as 6T1) | $ [2]_{2}$ |
| x6 + 3x4 + 24 | 3 | 6 | 1 | 9 | $C_6$ (as 6T1) | $ [2]_{2}$ |
| x6 + 6x4 + 6 | 3 | 6 | 1 | 9 | $D_{6}$ (as 6T3) | $ [2]_{2}^{2}$ |
| x6 + 3x4 + 3x3 + 15 | 3 | 6 | 1 | 9 | $S_3\times C_3$ (as 6T5) | $ [3/2, 2]_{2}$ |
| x6 + 3x4 + 6x3 + 6 | 3 | 6 | 1 | 9 | $S_3\times C_3$ (as 6T5) | $ [3/2, 2]_{2}$ |
| x6 + 6x5 + 3x4 + 15 | 3 | 6 | 1 | 9 | $S_3\times C_3$ (as 6T5) | $ [3/2, 2]_{2}$ |
| x6 + 6x4 + 3x3 + 6 | 3 | 6 | 1 | 9 | $S_3^2$ (as 6T9) | $ [3/2, 2]_{2}^{2}$ |
| x6 + 6x4 + 21 | 3 | 6 | 1 | 9 | $C_6$ (as 6T1) | $ [2]_{2}$ |
| x6 - 18 | 3 | 3 | 2 | 10 | $D_{6}$ (as 6T3) | $ [5/2]_{2}^{2}$ |
| x6 + 3x5 + 24 | 3 | 6 | 1 | 10 | $C_3^2:D_4$ (as 6T13) | $ [9/4, 9/4]_{4}^{2}$ |
| x6 + 3x5 + 15 | 3 | 6 | 1 | 10 | $C_3^2:D_4$ (as 6T13) | $ [9/4, 9/4]_{4}^{2}$ |
| x6 + 3x5 + 3 | 3 | 6 | 1 | 10 | $C_3^2:D_4$ (as 6T13) | $ [9/4, 9/4]_{4}^{2}$ |
| x6 + 9 | 3 | 3 | 2 | 10 | $D_{6}$ (as 6T3) | $ [5/2]_{2}^{2}$ |
| x6 + 36 | 3 | 3 | 2 | 10 | $D_{6}$ (as 6T3) | $ [5/2]_{2}^{2}$ |
| x6 + 3x3 + 72 | 3 | 3 | 2 | 10 | $S_3^2$ (as 6T9) | $ [3/2, 5/2]_{2}^{2}$ |
| x6 + 6x3 + 45 | 3 | 3 | 2 | 10 | $S_3^2$ (as 6T9) | $ [3/2, 5/2]_{2}^{2}$ |
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