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Label Polynomial Discriminant Galois group Class group
10.2.257017925632.1 x10 - 2x9 - 2x7 + 4x5 + 2x4 + 10x3 + 2x2 + 8x + 2 \( 2^{12}\cdot 13^{7} \) $(C_2^4 : C_5):C_4$ (as 10T25) Trivial
10.2.2099520000000.1 x10 - x8 + 10x6 + 10x4 + 5x2 - 5 \( 2^{12}\cdot 3^{8}\cdot 5^{7} \) $(C_2^4 : C_5):C_4$ (as 10T25) Trivial
10.2.3200000000000.1 x10 - 5x8 + 10x6 - 30x4 + 5x2 - 5 \( 2^{16}\cdot 5^{11} \) $(C_2^4 : C_5):C_4$ (as 10T25) $[2]$
10.2.4112286810112.1 x10 - 3x8 - 13x2 - 13 \( 2^{16}\cdot 13^{7} \) $(C_2^4 : C_5):C_4$ (as 10T25) Trivial
10.2.4112286810112.2 x10 - 7x8 + 20x6 - 32x4 + 27x2 - 13 \( 2^{16}\cdot 13^{7} \) $(C_2^4 : C_5):C_4$ (as 10T25) $[2]$
10.2.7812500000000.3 x10 - 5x8 - 15x6 - 25x4 + 25x2 - 5 \( 2^{8}\cdot 5^{15} \) $(C_2^4 : C_5):C_4$ (as 10T25) $[2]$
10.2.9139520000000.2 x10 - 9x8 + 30x6 - 50x4 + 45x2 - 5 \( 2^{12}\cdot 5^{7}\cdot 13^{4} \) $(C_2^4 : C_5):C_4$ (as 10T25) Trivial
10.2.12293120000000.1 x10 - 3x9 - x8 + 10x7 - 4x6 - 10x5 + 2x4 + 24x3 - 60x2 + 76x - 36 \( 2^{16}\cdot 5^{7}\cdot 7^{4} \) $(C_2^4 : C_5):C_4$ (as 10T25) Trivial
10.2.12800000000000.3 x10 - 5x8 + 10x6 + 5x2 - 5 \( 2^{18}\cdot 5^{11} \) $(C_2^4 : C_5):C_4$ (as 10T25) $[2]$
10.2.12800000000000.4 x10 + 5x8 + 20x6 + 20x4 + 5x2 - 5 \( 2^{18}\cdot 5^{11} \) $(C_2^4 : C_5):C_4$ (as 10T25) $[2]$
10.2.14089640214528.1 x10 - x8 - 8x6 - 8x4 + 8x2 - 8 \( 2^{31}\cdot 3^{8} \) $(C_2^4 : C_5):C_4$ (as 10T25) Trivial
10.2.14089640214528.2 x10 - 4x8 + 10x6 - 20x4 + 17x2 - 8 \( 2^{31}\cdot 3^{8} \) $(C_2^4 : C_5):C_4$ (as 10T25) $[2]$
10.2.14089640214528.3 x10 - 3x9 + 2x8 + 12x7 - 26x6 + 6x5 + 40x4 - 12x3 - 25x2 + 3x + 10 \( 2^{31}\cdot 3^{8} \) $(C_2^4 : C_5):C_4$ (as 10T25) Trivial
10.2.16200000000000.1 x10 - 10x8 - 10x7 - 24x5 - 110x4 - 170x3 - 120x2 - 40x - 6 \( 2^{12}\cdot 3^{4}\cdot 5^{11} \) $(C_2^4 : C_5):C_4$ (as 10T25) $[2]$
10.2.16449147240448.1 x10 - x8 - 13x2 - 13 \( 2^{18}\cdot 13^{7} \) $(C_2^4 : C_5):C_4$ (as 10T25) Trivial
10.2.16449147240448.2 x10 - 3x8 - 8x6 + 4x4 + 9x2 - 13 \( 2^{18}\cdot 13^{7} \) $(C_2^4 : C_5):C_4$ (as 10T25) $[2]$
10.2.16449147240448.3 x10 + 5x8 - 2x6 - 32x4 + 55x2 - 13 \( 2^{18}\cdot 13^{7} \) $(C_2^4 : C_5):C_4$ (as 10T25) $[2]$
10.2.16449147240448.4 x10 - 3x8 - 26x4 + 91x2 - 13 \( 2^{18}\cdot 13^{7} \) $(C_2^4 : C_5):C_4$ (as 10T25) Trivial
10.2.17663873340416.2 x10 - 2x9 - 5x8 - 8x7 + 46x6 + 16x5 - 46x4 - 8x3 + 5x2 - 2x - 1 \( 2^{10}\cdot 29^{7} \) $(C_2^4 : C_5):C_4$ (as 10T25) Trivial
10.2.26726720000000.1 x10 + 3x8 + 14x6 + 42x4 - 19x2 - 125 \( 2^{12}\cdot 5^{7}\cdot 17^{4} \) $(C_2^4 : C_5):C_4$ (as 10T25) $[2]$
10.2.31250000000000.1 x10 + 5x8 + 10x6 - 25x4 - 5 \( 2^{10}\cdot 5^{15} \) $(C_2^4 : C_5):C_4$ (as 10T25) $[2]$
10.2.31250000000000.2 x10 + 10x6 - 5 \( 2^{10}\cdot 5^{15} \) $(C_2^4 : C_5):C_4$ (as 10T25) $[2]$
10.2.31441308090368.1 x10 - 4x8 + 24x6 - 32x4 + 72x2 - 32 \( 2^{31}\cdot 11^{4} \) $(C_2^4 : C_5):C_4$ (as 10T25) Trivial
10.2.31441308090368.2 x10 - 9x8 + 24x6 - 8x4 - 24x2 - 8 \( 2^{31}\cdot 11^{4} \) $(C_2^4 : C_5):C_4$ (as 10T25) Trivial
10.2.31441308090368.3 x10 - 2x8 + 12x6 + 8x4 + 4x2 - 8 \( 2^{31}\cdot 11^{4} \) $(C_2^4 : C_5):C_4$ (as 10T25) $[2]$
10.2.33592320000000.1 x10 - 5x9 + 5x8 + 10x7 - 14x5 + 10x3 - 5x2 - 5x - 1 \( 2^{16}\cdot 3^{8}\cdot 5^{7} \) $(C_2^4 : C_5):C_4$ (as 10T25) Trivial
10.2.33592320000000.12 x10 - 7x8 + 4x6 - 8x4 + 11x2 - 5 \( 2^{16}\cdot 3^{8}\cdot 5^{7} \) $(C_2^4 : C_5):C_4$ (as 10T25) $[2]$
10.2.33592320000000.19 x10 - 2x9 - 7x8 + 10x7 + 18x6 - 2x5 - 36x4 - 26x3 + 55x2 + 4x - 85 \( 2^{16}\cdot 3^{8}\cdot 5^{7} \) $(C_2^4 : C_5):C_4$ (as 10T25) Trivial
10.2.34035130893312.1 x10 + 2x8 - 17x4 - 17 \( 2^{10}\cdot 3^{4}\cdot 17^{7} \) $(C_2^4 : C_5):C_4$ (as 10T25) Trivial
10.2.34035130893312.2 x10 - 5x8 + 20x6 + 23x4 + 13x2 - 17 \( 2^{10}\cdot 3^{4}\cdot 17^{7} \) $(C_2^4 : C_5):C_4$ (as 10T25) $[2]$
10.2.34035130893312.3 x10 + 9x8 + 34x6 + 51x4 + 17x2 - 17 \( 2^{10}\cdot 3^{4}\cdot 17^{7} \) $(C_2^4 : C_5):C_4$ (as 10T25) Trivial
10.2.34035130893312.4 x10 - 8x8 + 17x6 - 34x4 + 34x2 - 17 \( 2^{10}\cdot 3^{4}\cdot 17^{7} \) $(C_2^4 : C_5):C_4$ (as 10T25) Trivial
10.2.34035130893312.5 x10 - 2x8 + 17x6 - 34x4 + 34x2 - 17 \( 2^{10}\cdot 3^{4}\cdot 17^{7} \) $(C_2^4 : C_5):C_4$ (as 10T25) Trivial
10.2.34035130893312.6 x10 - 6x8 + 22x6 - 39x4 + 38x2 - 17 \( 2^{10}\cdot 3^{4}\cdot 17^{7} \) $(C_2^4 : C_5):C_4$ (as 10T25) $[2]$
10.2.34035130893312.7 x10 - 13x8 + 57x6 - 98x4 + 69x2 - 17 \( 2^{10}\cdot 3^{4}\cdot 17^{7} \) $(C_2^4 : C_5):C_4$ (as 10T25) $[2]$
10.2.35006580000000.1 x10 - 5x9 - x8 + 34x7 - 37x6 - 29x5 + 95x4 - 92x3 + 53x2 - 19x + 3 \( 2^{8}\cdot 3^{6}\cdot 5^{7}\cdot 7^{4} \) $(C_2^4 : C_5):C_4$ (as 10T25) Trivial
10.2.37483220000000.1 x10 - 8x8 + 19x6 - 12x4 - 19x2 - 5 \( 2^{8}\cdot 5^{7}\cdot 37^{4} \) $(C_2^4 : C_5):C_4$ (as 10T25) $[2]$
10.2.38568752465152.1 x10 - x9 + x8 - 2x7 + 11x6 - 37x5 - 55x4 - 50x3 + 59x2 + 29x - 47 \( 2^{8}\cdot 7^{4}\cdot 13^{7} \) $(C_2^4 : C_5):C_4$ (as 10T25) Trivial
10.2.40159050880000.1 x10 - 6x8 - 6x7 + 20x6 - 20x5 - 88x4 + 34x3 + 166x2 - 106x - 22 \( 2^{10}\cdot 5^{4}\cdot 13^{7} \) $(C_2^4 : C_5):C_4$ (as 10T25) Trivial
10.2.40159050880000.2 x10 - 4x9 + 7x8 - 10x7 + 14x6 - 2x5 - 26x4 + 24x3 + 17x2 + 58x - 65 \( 2^{10}\cdot 5^{4}\cdot 13^{7} \) $(C_2^4 : C_5):C_4$ (as 10T25) Trivial
10.2.41943040000000.1 x10 + 4x8 - 10x6 - 100x4 - 15x2 - 40 \( 2^{29}\cdot 5^{7} \) $(C_2^4 : C_5):C_4$ (as 10T25) $[2]$
10.2.46268820000000.1 x10 - x9 + 3x8 - 5x6 + 45x5 - 105x4 + 160x3 - 145x2 + 85x - 15 \( 2^{8}\cdot 3^{4}\cdot 5^{7}\cdot 13^{4} \) $(C_2^4 : C_5):C_4$ (as 10T25) Trivial
10.2.51200000000000.1 x10 - 10x8 + 45x6 - 110x4 + 145x2 - 80 \( 2^{20}\cdot 5^{11} \) $(C_2^4 : C_5):C_4$ (as 10T25) $[2]$
10.2.56358560858112.1 x10 - 7x8 + 16x6 - 8x4 - 10x2 - 2 \( 2^{33}\cdot 3^{8} \) $(C_2^4 : C_5):C_4$ (as 10T25) Trivial
10.2.56358560858112.2 x10 - 10x8 - 2x6 - 8x4 - x2 - 2 \( 2^{33}\cdot 3^{8} \) $(C_2^4 : C_5):C_4$ (as 10T25) Trivial
10.2.56358560858112.4 x10 + 2x8 + 4x6 - 8x4 - 4x2 - 8 \( 2^{33}\cdot 3^{8} \) $(C_2^4 : C_5):C_4$ (as 10T25) Trivial
10.2.56358560858112.5 x10 - 4x8 - 8x6 - 8x4 + 14x2 - 8 \( 2^{33}\cdot 3^{8} \) $(C_2^4 : C_5):C_4$ (as 10T25) Trivial
10.2.61334280470528.2 x10 + 2x8 + 34x6 + 8x4 - 7x2 - 2 \( 2^{31}\cdot 13^{4} \) $(C_2^4 : C_5):C_4$ (as 10T25) $[2]$
10.2.61334280470528.4 x10 - x9 - 2x8 + 4x7 + 6x6 + 18x5 - 32x4 - 4x3 - 9x2 + x - 2 \( 2^{31}\cdot 13^{4} \) $(C_2^4 : C_5):C_4$ (as 10T25) Trivial
10.2.61334280470528.5 x10 - 9x8 + 32x6 - 48x4 + 32x2 - 32 \( 2^{31}\cdot 13^{4} \) $(C_2^4 : C_5):C_4$ (as 10T25) Trivial
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