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Label Polynomial Discriminant Galois group Class group
10.2.316329754624.1 x10 - 2x8 - 4x6 + 8x2 - 4 \( 2^{16}\cdot 13^{6} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.640000000000.1 x10 - 5x8 + 10x6 - 10x4 + 5x2 - 9 \( 2^{16}\cdot 5^{10} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.1265319018496.1 x10 - x8 + 2x6 - 4x4 + x2 - 1 \( 2^{18}\cdot 13^{6} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.1265319018496.2 x10 - 2x8 + 2x6 - 4x4 - 4 \( 2^{18}\cdot 13^{6} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.1562500000000.1 x10 + 5x6 + 5x2 - 4 \( 2^{8}\cdot 5^{14} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.1761205026816.1 x10 + 4x8 - 2x6 - 28x4 - 31x2 - 16 \( 2^{28}\cdot 3^{8} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.2002066523136.1 x10 + x8 - x4 + 3x2 - 1 \( 2^{10}\cdot 3^{4}\cdot 17^{6} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.2002066523136.2 x10 + 3x8 - 5x6 - 15x4 + 8x2 - 1 \( 2^{10}\cdot 3^{4}\cdot 17^{6} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.2002066523136.3 x10 + 3x8 - 7x6 - 12x4 + 25x2 - 9 \( 2^{10}\cdot 3^{4}\cdot 17^{6} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.2560000000000.1 x10 - 5x8 + 10x6 - 20x4 + 5x2 - 1 \( 2^{18}\cdot 5^{10} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.2560000000000.2 x10 + 5x8 + 10x6 + 10x4 + 5x2 - 1 \( 2^{18}\cdot 5^{10} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.3240000000000.1 x10 - 5x8 - 10x7 + 30x6 + 14x5 - 40x4 - 20x3 + 15x2 + 20x + 5 \( 2^{12}\cdot 3^{4}\cdot 5^{10} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.3341233033216.1 x10 + 2x8 - 14x7 + 2x6 - 8x5 + 24x4 + 12x3 - 32x2 + 16x - 4 \( 2^{12}\cdot 13^{8} \) $(C_2^4 : C_5):C_4$ (as 10T24) $[2]$
10.2.3930163511296.1 x10 - x8 - 4x6 - 12x4 + 4x2 - 4 \( 2^{28}\cdot 11^{4} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.4194304000000.1 x10 - x8 + 12x6 - 4x4 - 12x2 - 4 \( 2^{28}\cdot 5^{6} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.5345344000000.1 x10 + 7x8 + 26x6 + 38x4 + 29x2 - 1 \( 2^{12}\cdot 5^{6}\cdot 17^{4} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.6250000000000.1 x10 + 5x6 + 5x2 - 1 \( 2^{10}\cdot 5^{14} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.6250000000000.2 x10 - 5x8 + 5x6 + 5x4 - 5x2 - 4 \( 2^{10}\cdot 5^{14} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.6718464000000.3 x10 + 3x8 + 6x6 - 18x4 + 9x2 - 9 \( 2^{16}\cdot 3^{8}\cdot 5^{6} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.7496644000000.1 x10 - 8x8 + 16x6 - 2x4 + 14x2 - 1 \( 2^{8}\cdot 5^{6}\cdot 37^{4} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.7666785058816.3 x10 + 3x8 + 6x6 - 14x4 - 43x2 - 81 \( 2^{28}\cdot 13^{4} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.8745694265344.1 x10 + 7x8 + 12x6 - 4x4 + 52x2 - 4 \( 2^{26}\cdot 19^{4} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.10240000000000.1 x10 + 10x6 - 15x2 - 16 \( 2^{20}\cdot 5^{10} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.10497600000000.1 x10 - 5x8 + 10x6 - 24x5 - 10x4 + 5x2 - 1 \( 2^{12}\cdot 3^{8}\cdot 5^{8} \) $(C_2^4 : C_5):C_4$ (as 10T24) $[2]$
10.2.12356631040000.1 x10 - 2x9 - 6x8 + 6x7 + 18x6 + 26x5 - 62x4 - 22x3 + 28x2 + 16x + 2 \( 2^{12}\cdot 5^{4}\cdot 13^{6} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.13589544960000.1 x10 - 3x9 + 4x8 - 4x7 - 14x6 + 18x5 - 12x4 - 36x3 + 7x2 + 19x - 16 \( 2^{28}\cdot 3^{4}\cdot 5^{4} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.16402500000000.6 x10 - 5x8 + 10x6 - 10x4 + 5x2 - 4 \( 2^{8}\cdot 3^{8}\cdot 5^{10} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.17909824000000.1 x10 - 2x8 + 11x6 - 58x4 + 29x2 - 4 \( 2^{12}\cdot 5^{6}\cdot 23^{4} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.18018598708224.1 x10 - 8x8 + 9x6 - 30x4 - 36x2 - 9 \( 2^{10}\cdot 3^{6}\cdot 17^{6} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.18018598708224.2 x10 - 5x8 + 21x6 - 33x4 - 18x2 - 9 \( 2^{10}\cdot 3^{6}\cdot 17^{6} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.18018598708224.3 x10 + x8 + 3x6 - 3x4 - 9 \( 2^{10}\cdot 3^{6}\cdot 17^{6} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.18018598708224.4 x10 - 5x8 + 15x6 - 24x4 + 27x2 - 9 \( 2^{10}\cdot 3^{6}\cdot 17^{6} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.23059204000000.1 x10 - 6x8 - 8x6 - 24x4 - 22x2 - 9 \( 2^{8}\cdot 5^{6}\cdot 7^{8} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.24010000000000.1 x10 - 5x8 - 20x7 - 60x6 - 42x5 - 190x4 + 60x3 - 225x2 + 120x - 53 \( 2^{10}\cdot 5^{10}\cdot 7^{4} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.6.24010000000000.1 x10 - 5x8 - 10x5 - 5x2 + 1 \( 2^{10}\cdot 5^{10}\cdot 7^{4} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.25000000000000.2 x10 - 5x8 + 20x6 - 40x4 - 40x2 - 16 \( 2^{12}\cdot 5^{14} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.25000000000000.3 x10 + 5x8 + 10x6 - 20x4 - 40x2 - 16 \( 2^{12}\cdot 5^{14} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.26214400000000.1 x10 - x9 + 10x8 - 4x7 + 28x6 - 20x5 + 24x4 - 40x3 + 6x2 - 22x + 4 \( 2^{26}\cdot 5^{8} \) $(C_2^4 : C_5):C_4$ (as 10T24) $[2]$
10.2.26808753332089.1 x10 - 8x8 + 26x6 - 37x4 + 17x2 - 4 \( 173^{6} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.26873856000000.1 x10 + x8 - 8x6 - 16x4 - 7x2 - 1 \( 2^{18}\cdot 3^{8}\cdot 5^{6} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.26873856000000.3 x10 - 3x8 + 12x6 - 18x4 + 27x2 - 9 \( 2^{18}\cdot 3^{8}\cdot 5^{6} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.28179280429056.2 x10 - 11x8 + 34x6 - 22x4 + 11x2 - 1 \( 2^{32}\cdot 3^{8} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.28179280429056.4 x10 + x8 + 4x6 - 4x4 - 4x2 - 4 \( 2^{32}\cdot 3^{8} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.29160000000000.2 x10 - 5x9 + 5x8 - 20x7 + 15x6 + x5 - 15x4 + 10x3 - 5x2 - 5x + 5 \( 2^{12}\cdot 3^{6}\cdot 5^{10} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.29246464000000.1 x10 - 6x8 + 12x6 - 4x4 - 12x2 - 4 \( 2^{16}\cdot 5^{6}\cdot 13^{4} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.29986576000000.1 x10 - x8 - 5x6 - 15x4 - 25x2 - 25 \( 2^{10}\cdot 5^{6}\cdot 37^{4} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.29986576000000.2 x10 - 6x8 + 12x6 - 9x4 + 3x2 - 4 \( 2^{10}\cdot 5^{6}\cdot 37^{4} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.30576476160000.1 x10 - 3x9 + 4x7 + 4x6 + 12x5 + 8x4 - 32x3 - 18x2 + 6x + 8 \( 2^{26}\cdot 3^{6}\cdot 5^{4} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.38982341165056.5 x10 - 2x8 - 16x4 + 36x2 - 4 \( 2^{16}\cdot 29^{6} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
10.2.40960000000000.1 x10 - 10x6 + 20x2 - 16 \( 2^{22}\cdot 5^{10} \) $(C_2^4 : C_5):C_4$ (as 10T24) Trivial
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