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Label Polynomial Discriminant Galois group Class group
10.2.4996793344.1 x10 + 2x8 + 2x6 + x4 - 1 \( 2^{10}\cdot 47^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.4996793344.2 x10 + x8 + x6 - x4 - 2x2 - 1 \( 2^{10}\cdot 47^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.4996793344.3 x10 - x8 + 2x6 - 3x4 + 3x2 - 1 \( 2^{10}\cdot 47^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.14761035025.1 x10 - x9 - 6x7 + 2x6 + 10x5 + 4x4 - 9x3 - 6x2 + 5x - 1 \( 5^{2}\cdot 11^{2}\cdot 47^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.17176985721.1 x10 - 3x9 + 5x7 - x6 - 5x5 + x4 + 5x3 - 3x - 1 \( 3^{2}\cdot 7^{2}\cdot 79^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.18847994944.1 x10 + x8 - x6 - 3x4 + 5x2 - 1 \( 2^{6}\cdot 131^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.20616652225.1 x10 - 3x9 + 2x8 + 3x7 - 10x6 + 4x5 + 12x4 - 14x3 + 10x2 - 5x - 1 \( 5^{2}\cdot 13^{2}\cdot 47^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.25323948225.1 x10 - 2x9 - x8 + x7 + 4x6 - 3x5 - 4x4 + x3 + x2 - 2x - 1 \( 3^{2}\cdot 5^{2}\cdot 103^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.32757018121.1 x10 - 2x9 - 2x8 + 5x7 - 2x6 - 5x5 + 7x4 - 7x2 - 3x - 1 \( 29^{2}\cdot 79^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.32757018121.2 x10 - x9 - 2x8 + 5x7 + x6 - 9x5 + 5x4 + 11x3 - x - 1 \( 29^{2}\cdot 79^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.33616122409.1 x10 - 3x9 + x8 - x7 + 17x6 - 26x5 + 15x4 - 29x3 + 51x2 - 26x - 1 \( 47^{4}\cdot 83^{2} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.33616122409.2 x10 - 3x9 + 9x8 - 7x7 + x6 + 18x5 - 9x4 - 5x3 - 7x2 + 4x - 1 \( 47^{4}\cdot 83^{2} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.39884882944.1 x10 + 2x8 - 3x4 - 2x2 - 1 \( 2^{10}\cdot 79^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.39884882944.2 x10 - x8 + x6 - 2x4 + 3x2 - 1 \( 2^{10}\cdot 79^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.39884882944.3 x10 - 3x8 + 5x6 - 7x4 + 4x2 - 1 \( 2^{10}\cdot 79^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.44039121025.1 x10 - 4x9 + 8x8 - 12x7 + 13x6 - 14x5 + 23x4 - 14x3 - 33x2 + 56x - 25 \( 5^{2}\cdot 19^{2}\cdot 47^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.55867467769.1 x10 - 4x9 + x8 + 8x7 + 14x6 - 54x5 + 25x4 + 24x3 - 7x2 - 8x - 1 \( 47^{4}\cdot 107^{2} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.55867467769.2 x10 - 3x9 - x8 + 3x7 + 18x6 - 15x5 - 23x4 + 4x3 + 23x2 + 11x - 19 \( 47^{4}\cdot 107^{2} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.58532544225.1 x10 - x9 - 2x8 + 6x7 + 3x6 - 7x5 - x4 - 6x3 - 5x2 + 4x - 1 \( 3^{2}\cdot 5^{2}\cdot 127^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.58532544225.2 x10 - 3x9 + 2x8 + 5x7 - 10x6 + 4x5 + 2x4 + 4x3 - 8x2 + 3x + 1 \( 3^{2}\cdot 5^{2}\cdot 127^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.64533781225.1 x10 - 2x9 + 4x8 - x7 - 10x6 + 21x5 - 21x4 - 18x3 + 31x2 - 33x - 19 \( 5^{2}\cdot 23^{2}\cdot 47^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.64533781225.2 x10 - x9 - 9x8 + 9x7 + 25x6 - 24x5 - 21x4 + 15x3 + x2 + 16x - 11 \( 5^{2}\cdot 23^{2}\cdot 47^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.65704043584.1 x10 - 2x8 + 5x6 - x4 + 6x2 - 1 \( 2^{6}\cdot 179^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.75391979776.1 x10 + 2x8 + 7x6 + 3x4 + 4x2 - 1 \( 2^{8}\cdot 131^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.75391979776.2 x10 - 6x6 + x4 + 10x2 - 4 \( 2^{8}\cdot 131^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.86040728929.1 x10 - 4x9 + 6x8 + x7 - 12x6 + 5x5 + 11x4 - 12x3 - 11x2 - 3x + 1 \( 47^{2}\cdot 79^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.86040728929.2 x10 - 4x9 + 10x8 - 17x7 + 17x6 - 8x5 - 12x4 + 26x3 - 26x2 + 21x - 9 \( 47^{2}\cdot 79^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.99784596769.1 x10 - 2x9 - 5x8 + 15x7 + 9x6 - 36x5 - 9x4 + 41x3 + 17x2 - 15x - 11 \( 11^{2}\cdot 13^{2}\cdot 47^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.101309160681.1 x10 - 4x9 + 10x8 - 18x7 + 15x6 - 13x5 + 25x4 - 16x3 + 2x2 - 4x + 1 \( 3^{2}\cdot 17^{2}\cdot 79^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.101309160681.2 x10 - x9 + x8 - x7 - 6x6 + 5x5 - 5x4 + 6x3 + 13x2 - 5x - 9 \( 3^{2}\cdot 17^{2}\cdot 79^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.102595293025.1 x10 - 3x9 + 3x8 - 6x7 + 7x6 - 9x5 + 10x4 + 9x3 + 9x2 - 15x - 25 \( 5^{2}\cdot 29^{2}\cdot 47^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.114723786681.1 x10 - 3x9 + 4x8 - 3x7 + 2x6 - 18x5 + 32x4 - 36x3 + 22x2 - 9x + 1 \( 3^{2}\cdot 7^{2}\cdot 127^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.114723786681.2 x10 - 2x9 + x8 + 7x7 - 9x6 + 4x5 + 5x4 - 5x3 - x2 + 3x + 1 \( 3^{2}\cdot 7^{2}\cdot 127^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.115252102144.1 x10 - 5x4 - 4x2 - 1 \( 2^{10}\cdot 103^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.115252102144.2 x10 - 3x8 + 5x6 - 4x4 + x2 - 1 \( 2^{10}\cdot 103^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.115252102144.3 x10 + 2x8 + 3x6 + 3x4 + x2 - 1 \( 2^{10}\cdot 103^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.117234336025.1 x10 - x9 + x8 + 2x7 - x6 + 17x5 - 34x4 + 23x3 - 37x2 + 55x - 25 \( 5^{2}\cdot 31^{2}\cdot 47^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.122567909409.1 x10 - 4x9 + 2x8 + 6x7 + x6 - 13x5 - x4 + 6x3 - 2x2 - 4x - 1 \( 3^{2}\cdot 11^{2}\cdot 103^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.122567909409.2 x10 - 2x9 - 4x8 + 7x7 + 4x6 - 5x5 + 7x4 - 8x3 - 3x2 + 3x - 1 \( 3^{2}\cdot 11^{2}\cdot 103^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.124221707401.1 x10 - x9 - x8 - x7 - 13x6 + 13x4 - x3 + x2 - x - 1 \( 11^{2}\cdot 179^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.124221707401.2 x10 - x9 - 3x8 - x7 + 7x6 - 7x4 - x3 + 3x2 - x - 1 \( 11^{2}\cdot 179^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.124919833600.1 x10 + 3x8 + 3x6 - 12x4 - 25x2 - 25 \( 2^{10}\cdot 5^{2}\cdot 47^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.124919833600.2 x10 + 8x8 + 21x6 + 14x4 - 20x2 - 25 \( 2^{10}\cdot 5^{2}\cdot 47^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.124919833600.3 x10 + 5x8 + 11x6 + 8x4 - 5x2 - 25 \( 2^{10}\cdot 5^{2}\cdot 47^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.124919833600.4 x10 + 5x6 - 11x4 + 5x2 - 25 \( 2^{10}\cdot 5^{2}\cdot 47^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.124919833600.5 x10 - x8 + 4x6 - 7x4 + 5x2 - 25 \( 2^{10}\cdot 5^{2}\cdot 47^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.124919833600.6 x10 - x8 - 5x6 + 7x4 + 10x2 - 25 \( 2^{10}\cdot 5^{2}\cdot 47^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.124919833600.7 x10 - 5x8 + 14x6 - 31x4 + 45x2 - 25 \( 2^{10}\cdot 5^{2}\cdot 47^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.124919833600.8 x10 - 8x8 + 27x6 - 51x4 + 55x2 - 25 \( 2^{10}\cdot 5^{2}\cdot 47^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
10.2.154592871489.1 x10 - 2x9 - x8 + 6x7 - 7x6 - 4x5 + 16x4 + 12x3 - 29x2 + 10x - 1 \( 3^{4}\cdot 7^{2}\cdot 79^{4} \) $(C_2^4 : C_5) : C_2$ (as 10T15) Trivial
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