## Results (displaying matches 1-50 of 158) Next

Label Polynomial $p$ $e$ $f$ $c$ Galois group Slope content
2.10.0.1 x10 - x3 + 1 2 1 10 0 $C_{10}$ (as 10T1) $[\ ]^{10}$
2.10.8.1 x10 - 2x5 + 4 2 5 2 8 $F_5$ (as 10T4) $[\ ]_{5}^{4}$
2.10.10.1 x10 - 9x8 + 54x6 - 38x4 + 41x2 - 17 2 2 5 10 $C_2^4 : C_5$ (as 10T8) $[2, 2, 2, 2]^{5}$
2.10.10.10 x10 - 11x8 + 10x6 - 62x4 + 21x2 - 55 2 2 5 10 $C_2 \times (C_2^4 : C_5)$ (as 10T14) $[2, 2, 2, 2, 2]^{5}$
2.10.10.11 x10 - x8 + 3x6 + x2 - 3 2 2 5 10 $C_{10}$ (as 10T1) $[2]^{5}$
2.10.10.12 x10 - 11x8 + 54x6 - 10x4 + 9x2 - 11 2 2 5 10 $C_2 \times (C_2^4 : C_5)$ (as 10T14) $[2, 2, 2, 2, 2]^{5}$
2.10.10.13 x10 - 15x8 + 26x6 - 22x4 + 37x2 - 59 2 2 5 10 $C_2 \times (C_2^4 : C_5)$ (as 10T14) $[2, 2, 2, 2, 2]^{5}$
2.10.10.14 x10 + 5x8 - 50x6 - 58x4 + 49x2 + 21 2 2 5 10 $C_2 \times (C_2^4 : C_5)$ (as 10T14) $[2, 2, 2, 2, 2]^{5}$
2.10.10.15 x10 + 2x + 2 2 10 1 10 $(C_2^4 : C_5):C_4$ (as 10T24) $[6/5, 6/5, 6/5, 6/5]_{5}^{4}$
2.10.10.16 x10 + 2x2 + 2x + 2 2 10 1 10 $(C_2^4 : C_5):C_4$ (as 10T25) $[6/5, 6/5, 6/5, 6/5]_{5}^{4}$
2.10.10.2 x10 - 5x8 + 10x6 - 2x4 - 11x2 + 39 2 2 5 10 $C_2^4 : C_5$ (as 10T8) $[2, 2, 2, 2]^{5}$
2.10.10.3 x10 - 9x8 + 22x6 - 46x4 + 9x2 - 9 2 2 5 10 $C_2^4 : C_5$ (as 10T8) $[2, 2, 2, 2]^{5}$
2.10.10.4 x10 - 5x8 + 14x6 - 22x4 + 17x2 - 37 2 2 5 10 $C_2 \times (C_2^4 : C_5)$ (as 10T14) $[2, 2, 2, 2]^{10}$
2.10.10.5 x10 - 9x8 + 50x6 - 50x4 + 45x2 - 5 2 2 5 10 $C_2 \times (C_2^4 : C_5)$ (as 10T14) $[2, 2, 2, 2]^{10}$
2.10.10.6 x10 - 5x8 - 18x6 - 46x4 + 49x2 - 13 2 2 5 10 $C_2 \times (C_2^4 : C_5)$ (as 10T14) $[2, 2, 2, 2]^{10}$
2.10.10.7 x10 - x8 - x6 - 3x2 - 7 2 2 5 10 $C_{10}$ (as 10T1) $[2]^{5}$
2.10.10.8 x10 + x8 - 2x6 - 2x4 + x2 + 33 2 2 5 10 $C_2 \times (C_2^4 : C_5)$ (as 10T14) $[2, 2, 2, 2, 2]^{5}$
2.10.10.9 x10 - 15x8 + 38x6 - 18x4 + 25x2 - 63 2 2 5 10 $C_2 \times (C_2^4 : C_5)$ (as 10T14) $[2, 2, 2, 2, 2]^{5}$
2.10.12.1 x10 - 2x6 - 2x3 - 2 2 10 1 12 $(C_2^4 : C_5):C_4$ (as 10T24) $[8/5, 8/5, 8/5, 8/5]_{5}^{4}$
2.10.12.2 x10 + 2x6 + 2x4 + 2x3 + 2 2 10 1 12 $(C_2^4 : C_5):C_4$ (as 10T24) $[8/5, 8/5, 8/5, 8/5]_{5}^{4}$
2.10.12.3 x10 + 2x6 + 2x5 + 2x4 + 2x3 + 2x2 + 2 2 10 1 12 $(C_2^4 : C_5):C_4$ (as 10T25) $[8/5, 8/5, 8/5, 8/5]_{5}^{4}$
2.10.12.4 x10 + 2x5 + 2x3 - 2 2 10 1 12 $(C_2^4 : C_5):C_4$ (as 10T25) $[8/5, 8/5, 8/5, 8/5]_{5}^{4}$
2.10.14.1 x10 - 2x6 + 2x5 + 2x2 + 2 2 10 1 14 $F_{5}\times C_2$ (as 10T5) $[2]_{5}^{4}$
2.10.14.2 x10 - 2x8 - 2x5 - 6 2 10 1 14 $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $[6/5, 6/5, 6/5, 6/5, 2]_{5}^{4}$
2.10.14.3 x10 - 2x8 + 2x5 - 2x4 - 6 2 10 1 14 $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $[8/5, 8/5, 8/5, 8/5, 2]_{5}^{4}$
2.10.14.4 x10 + 2x5 - 2x4 - 6 2 10 1 14 $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $[8/5, 8/5, 8/5, 8/5, 2]_{5}^{4}$
2.10.14.5 x10 - 2x5 - 2 2 10 1 14 $F_{5}\times C_2$ (as 10T5) $[2]_{5}^{4}$
2.10.14.6 x10 + 2x8 - 2x7 + 2x6 - 2x5 - 2x4 - 2x2 + 2 2 10 1 14 $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $[6/5, 6/5, 6/5, 6/5, 2]_{5}^{4}$
2.10.14.7 x10 + 2x8 - 2x7 + 2x5 + 2x2 + 6 2 10 1 14 $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $[8/5, 8/5, 8/5, 8/5, 2]_{5}^{4}$
2.10.14.8 x10 - 2x9 + 2x5 - 2x4 + 2x2 - 6 2 10 1 14 $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $[8/5, 8/5, 8/5, 8/5, 2]_{5}^{4}$
2.10.15.1 x10 + 2x8 - 4x6 + 16x2 - 32 2 2 5 15 $C_{10}$ (as 10T1) $[3]^{5}$
2.10.15.10 x10 - 6x8 + 136x6 - 48x4 + 464x2 + 1312 2 2 5 15 $C_2 \times (C_2^4 : C_5)$ (as 10T14) $[2, 2, 2, 2, 3]^{5}$
2.10.15.11 x10 + 2x8 - 8x6 - 16x4 + 16x2 + 1056 2 2 5 15 $C_2 \times (C_2^4 : C_5)$ (as 10T14) $[2, 2, 2, 2, 3]^{5}$
2.10.15.12 x10 - 30x8 + 152x6 - 144x4 + 400x2 - 2016 2 2 5 15 $C_2 \times (C_2^4 : C_5)$ (as 10T14) $[2, 2, 2, 2, 3]^{5}$
2.10.15.13 x10 - 2x8 - 4x6 - 48x2 - 96 2 2 5 15 $C_{10}$ (as 10T1) $[3]^{5}$
2.10.15.14 x10 - 6x8 + 184x6 - 16x4 - 752x2 + 1184 2 2 5 15 $C_2 \times (C_2^4 : C_5)$ (as 10T14) $[2, 2, 2, 2, 3]^{5}$
2.10.15.15 x10 - 30x8 + 104x6 - 176x4 + 592x2 - 1888 2 2 5 15 $C_2 \times (C_2^4 : C_5)$ (as 10T14) $[2, 2, 2, 2, 3]^{5}$
2.10.15.16 x10 + 26x8 + 184x6 - 80x4 - 752x2 + 928 2 2 5 15 $C_2 \times (C_2^4 : C_5)$ (as 10T14) $[2, 2, 2, 2, 3]^{5}$
2.10.15.2 x10 - 10x8 + 40x6 - 16x4 - 176x2 + 1248 2 2 5 15 $C_2 \times (C_2^4 : C_5)$ (as 10T14) $[2, 2, 2, 2, 3]^{5}$
2.10.15.3 x10 - 18x8 + 216x6 - 304x4 + 656x2 - 544 2 2 5 15 $C_2 \times (C_2^4 : C_5)$ (as 10T14) $[2, 2, 2, 2, 3]^{5}$
2.10.15.4 x10 - 18x8 + 88x6 - 368x4 + 144x2 - 288 2 2 5 15 $C_2 \times (C_2^4 : C_5)$ (as 10T14) $[2, 2, 2, 2, 3]^{5}$
2.10.15.5 x10 + 14x8 + 40x6 - 144x4 - 432x2 + 33632 2 2 5 15 $C_{10}$ (as 10T1) $[3]^{5}$
2.10.15.6 x10 - 10x8 - 72x6 - 368x4 + 784x2 - 416 2 2 5 15 $C_2 \times (C_2^4 : C_5)$ (as 10T14) $[2, 2, 2, 2, 3]^{5}$
2.10.15.7 x10 - 10x8 + 56x6 - 176x4 + 272x2 - 1184 2 2 5 15 $C_2 \times (C_2^4 : C_5)$ (as 10T14) $[2, 2, 2, 2, 3]^{5}$
2.10.15.8 x10 - 18x8 + 200x6 - 400x4 + 720x2 - 160 2 2 5 15 $C_2 \times (C_2^4 : C_5)$ (as 10T14) $[2, 2, 2, 2, 3]^{5}$
2.10.15.9 x10 - 6x8 - 24x6 + 80x4 + 336x2 + 33056 2 2 5 15 $C_{10}$ (as 10T1) $[3]^{5}$
2.10.16.1 x10 - 2x7 - 4x4 - 2 2 10 1 16 $(C_2^4 : C_5):C_4$ (as 10T24) $[12/5, 12/5, 12/5, 12/5]_{5}^{4}$
2.10.16.10 x10 - 2x9 + 2x7 + 2x6 - 6x4 - 4x3 - 6x2 - 2 2 10 1 16 $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$
2.10.16.11 x10 - 2x9 + 2x7 + 2x6 - 6 2 10 1 16 $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$
2.10.16.12 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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