Results (displaying matches 1-50 of 158) Next
| Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
|---|---|---|---|---|---|---|
| x10 - x3 + 1 | 2 | 1 | 10 | 0 | $C_{10}$ (as 10T1) | $ [\ ]^{10}$ |
| x10 - 2x5 + 4 | 2 | 5 | 2 | 8 | $F_5$ (as 10T4) | $ [\ ]_{5}^{4}$ |
| x10 - 9x8 + 54x6 - 38x4 + 41x2 - 17 | 2 | 2 | 5 | 10 | $C_2^4 : C_5$ (as 10T8) | $ [2, 2, 2, 2]^{5}$ |
| x10 - 11x8 + 10x6 - 62x4 + 21x2 - 55 | 2 | 2 | 5 | 10 | $C_2 \times (C_2^4 : C_5)$ (as 10T14) | $ [2, 2, 2, 2, 2]^{5}$ |
| x10 - x8 + 3x6 + x2 - 3 | 2 | 2 | 5 | 10 | $C_{10}$ (as 10T1) | $ [2]^{5}$ |
| x10 - 11x8 + 54x6 - 10x4 + 9x2 - 11 | 2 | 2 | 5 | 10 | $C_2 \times (C_2^4 : C_5)$ (as 10T14) | $ [2, 2, 2, 2, 2]^{5}$ |
| x10 - 15x8 + 26x6 - 22x4 + 37x2 - 59 | 2 | 2 | 5 | 10 | $C_2 \times (C_2^4 : C_5)$ (as 10T14) | $ [2, 2, 2, 2, 2]^{5}$ |
| x10 + 5x8 - 50x6 - 58x4 + 49x2 + 21 | 2 | 2 | 5 | 10 | $C_2 \times (C_2^4 : C_5)$ (as 10T14) | $ [2, 2, 2, 2, 2]^{5}$ |
| x10 + 2x + 2 | 2 | 10 | 1 | 10 | $(C_2^4 : C_5):C_4$ (as 10T24) | $ [6/5, 6/5, 6/5, 6/5]_{5}^{4}$ |
| x10 + 2x2 + 2x + 2 | 2 | 10 | 1 | 10 | $(C_2^4 : C_5):C_4$ (as 10T25) | $ [6/5, 6/5, 6/5, 6/5]_{5}^{4}$ |
| x10 - 5x8 + 10x6 - 2x4 - 11x2 + 39 | 2 | 2 | 5 | 10 | $C_2^4 : C_5$ (as 10T8) | $ [2, 2, 2, 2]^{5}$ |
| x10 - 9x8 + 22x6 - 46x4 + 9x2 - 9 | 2 | 2 | 5 | 10 | $C_2^4 : C_5$ (as 10T8) | $ [2, 2, 2, 2]^{5}$ |
| x10 - 5x8 + 14x6 - 22x4 + 17x2 - 37 | 2 | 2 | 5 | 10 | $C_2 \times (C_2^4 : C_5)$ (as 10T14) | $ [2, 2, 2, 2]^{10}$ |
| x10 - 9x8 + 50x6 - 50x4 + 45x2 - 5 | 2 | 2 | 5 | 10 | $C_2 \times (C_2^4 : C_5)$ (as 10T14) | $ [2, 2, 2, 2]^{10}$ |
| x10 - 5x8 - 18x6 - 46x4 + 49x2 - 13 | 2 | 2 | 5 | 10 | $C_2 \times (C_2^4 : C_5)$ (as 10T14) | $ [2, 2, 2, 2]^{10}$ |
| x10 - x8 - x6 - 3x2 - 7 | 2 | 2 | 5 | 10 | $C_{10}$ (as 10T1) | $ [2]^{5}$ |
| x10 + x8 - 2x6 - 2x4 + x2 + 33 | 2 | 2 | 5 | 10 | $C_2 \times (C_2^4 : C_5)$ (as 10T14) | $ [2, 2, 2, 2, 2]^{5}$ |
| x10 - 15x8 + 38x6 - 18x4 + 25x2 - 63 | 2 | 2 | 5 | 10 | $C_2 \times (C_2^4 : C_5)$ (as 10T14) | $ [2, 2, 2, 2, 2]^{5}$ |
| x10 - 2x6 - 2x3 - 2 | 2 | 10 | 1 | 12 | $(C_2^4 : C_5):C_4$ (as 10T24) | $ [8/5, 8/5, 8/5, 8/5]_{5}^{4}$ |
| x10 + 2x6 + 2x4 + 2x3 + 2 | 2 | 10 | 1 | 12 | $(C_2^4 : C_5):C_4$ (as 10T24) | $ [8/5, 8/5, 8/5, 8/5]_{5}^{4}$ |
| x10 + 2x6 + 2x5 + 2x4 + 2x3 + 2x2 + 2 | 2 | 10 | 1 | 12 | $(C_2^4 : C_5):C_4$ (as 10T25) | $ [8/5, 8/5, 8/5, 8/5]_{5}^{4}$ |
| x10 + 2x5 + 2x3 - 2 | 2 | 10 | 1 | 12 | $(C_2^4 : C_5):C_4$ (as 10T25) | $ [8/5, 8/5, 8/5, 8/5]_{5}^{4}$ |
| x10 - 2x6 + 2x5 + 2x2 + 2 | 2 | 10 | 1 | 14 | $F_{5}\times C_2$ (as 10T5) | $ [2]_{5}^{4}$ |
| x10 - 2x8 - 2x5 - 6 | 2 | 10 | 1 | 14 | $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) | $ [6/5, 6/5, 6/5, 6/5, 2]_{5}^{4}$ |
| x10 - 2x8 + 2x5 - 2x4 - 6 | 2 | 10 | 1 | 14 | $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) | $ [8/5, 8/5, 8/5, 8/5, 2]_{5}^{4}$ |
| x10 + 2x5 - 2x4 - 6 | 2 | 10 | 1 | 14 | $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) | $ [8/5, 8/5, 8/5, 8/5, 2]_{5}^{4}$ |
| x10 - 2x5 - 2 | 2 | 10 | 1 | 14 | $F_{5}\times C_2$ (as 10T5) | $ [2]_{5}^{4}$ |
| x10 + 2x8 - 2x7 + 2x6 - 2x5 - 2x4 - 2x2 + 2 | 2 | 10 | 1 | 14 | $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) | $ [6/5, 6/5, 6/5, 6/5, 2]_{5}^{4}$ |
| x10 + 2x8 - 2x7 + 2x5 + 2x2 + 6 | 2 | 10 | 1 | 14 | $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) | $ [8/5, 8/5, 8/5, 8/5, 2]_{5}^{4}$ |
| x10 - 2x9 + 2x5 - 2x4 + 2x2 - 6 | 2 | 10 | 1 | 14 | $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) | $ [8/5, 8/5, 8/5, 8/5, 2]_{5}^{4}$ |
| x10 + 2x8 - 4x6 + 16x2 - 32 | 2 | 2 | 5 | 15 | $C_{10}$ (as 10T1) | $ [3]^{5}$ |
| x10 - 6x8 + 136x6 - 48x4 + 464x2 + 1312 | 2 | 2 | 5 | 15 | $C_2 \times (C_2^4 : C_5)$ (as 10T14) | $ [2, 2, 2, 2, 3]^{5}$ |
| x10 + 2x8 - 8x6 - 16x4 + 16x2 + 1056 | 2 | 2 | 5 | 15 | $C_2 \times (C_2^4 : C_5)$ (as 10T14) | $ [2, 2, 2, 2, 3]^{5}$ |
| x10 - 30x8 + 152x6 - 144x4 + 400x2 - 2016 | 2 | 2 | 5 | 15 | $C_2 \times (C_2^4 : C_5)$ (as 10T14) | $ [2, 2, 2, 2, 3]^{5}$ |
| x10 - 2x8 - 4x6 - 48x2 - 96 | 2 | 2 | 5 | 15 | $C_{10}$ (as 10T1) | $ [3]^{5}$ |
| x10 - 6x8 + 184x6 - 16x4 - 752x2 + 1184 | 2 | 2 | 5 | 15 | $C_2 \times (C_2^4 : C_5)$ (as 10T14) | $ [2, 2, 2, 2, 3]^{5}$ |
| x10 - 30x8 + 104x6 - 176x4 + 592x2 - 1888 | 2 | 2 | 5 | 15 | $C_2 \times (C_2^4 : C_5)$ (as 10T14) | $ [2, 2, 2, 2, 3]^{5}$ |
| x10 + 26x8 + 184x6 - 80x4 - 752x2 + 928 | 2 | 2 | 5 | 15 | $C_2 \times (C_2^4 : C_5)$ (as 10T14) | $ [2, 2, 2, 2, 3]^{5}$ |
| x10 - 10x8 + 40x6 - 16x4 - 176x2 + 1248 | 2 | 2 | 5 | 15 | $C_2 \times (C_2^4 : C_5)$ (as 10T14) | $ [2, 2, 2, 2, 3]^{5}$ |
| x10 - 18x8 + 216x6 - 304x4 + 656x2 - 544 | 2 | 2 | 5 | 15 | $C_2 \times (C_2^4 : C_5)$ (as 10T14) | $ [2, 2, 2, 2, 3]^{5}$ |
| x10 - 18x8 + 88x6 - 368x4 + 144x2 - 288 | 2 | 2 | 5 | 15 | $C_2 \times (C_2^4 : C_5)$ (as 10T14) | $ [2, 2, 2, 2, 3]^{5}$ |
| x10 + 14x8 + 40x6 - 144x4 - 432x2 + 33632 | 2 | 2 | 5 | 15 | $C_{10}$ (as 10T1) | $ [3]^{5}$ |
| x10 - 10x8 - 72x6 - 368x4 + 784x2 - 416 | 2 | 2 | 5 | 15 | $C_2 \times (C_2^4 : C_5)$ (as 10T14) | $ [2, 2, 2, 2, 3]^{5}$ |
| x10 - 10x8 + 56x6 - 176x4 + 272x2 - 1184 | 2 | 2 | 5 | 15 | $C_2 \times (C_2^4 : C_5)$ (as 10T14) | $ [2, 2, 2, 2, 3]^{5}$ |
| x10 - 18x8 + 200x6 - 400x4 + 720x2 - 160 | 2 | 2 | 5 | 15 | $C_2 \times (C_2^4 : C_5)$ (as 10T14) | $ [2, 2, 2, 2, 3]^{5}$ |
| x10 - 6x8 - 24x6 + 80x4 + 336x2 + 33056 | 2 | 2 | 5 | 15 | $C_{10}$ (as 10T1) | $ [3]^{5}$ |
| x10 - 2x7 - 4x4 - 2 | 2 | 10 | 1 | 16 | $(C_2^4 : C_5):C_4$ (as 10T24) | $ [12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
| x10 - 2x9 + 2x7 + 2x6 - 6x4 - 4x3 - 6x2 - 2 | 2 | 10 | 1 | 16 | $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) | $ [2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
| x10 - 2x9 + 2x7 + 2x6 - 6 | 2 | 10 | 1 | 16 | $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) | $ [2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
| x10 - 2x7 - 2x6 - 4x4 - 2x2 - 2 | 2 | 10 | 1 | 16 | $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) | $ [2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
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