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Results (6 matches)

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Label Polynomial Discriminant Galois group Class group
25.5.190...049.1 x25 - 4x24 + 4x23 + 5x22 - 20x21 + 18x20 + 19x19 - 28x18 - 2x16 + 2x15 - 28x14 - 29x13 + 120x12 + 59x11 - 112x10 - 35x9 + 16x8 - 23x7 + 29x6 + 32x5 - 21x4 - 12x3 + 7x2 + 2x - 1 \( 7^{10}\cdot 11^{20} \) $C_5\times D_5$ (as 25T3) trivial (GRH)
25.5.722...624.1 x25 - 3x24 + 4x23 - 7x22 + 5x21 - 6x20 + 28x19 - 37x18 + 24x17 + 60x15 - 133x14 + 74x13 + 37x12 - 24x11 - 112x10 + 155x9 - 56x8 - 45x7 + 51x6 - 17x5 + 3x4 - 3x3 + 3x - 1 \( 2^{30}\cdot 11^{20} \) $C_5\times D_5$ (as 25T3) trivial (GRH)
25.5.953...000.1 x25 - 5x24 + 10x23 - 10x22 + 17x20 - 25x19 + 10x18 + 55x17 - 150x16 + 156x15 - 100x14 + 115x13 - 60x12 - 175x11 + 208x10 + 70x9 - 80x8 - 70x7 - 25x6 + 20x5 + 15x4 + 15x3 + 10x2 - 1 \( 2^{20}\cdot 5^{40} \) $C_5\times D_5$ (as 25T3) trivial (GRH)
25.5.396...449.1 x25 - 3x24 + x23 - 3x22 + 19x21 - 17x20 - 8x19 - 27x18 + 13x17 + 72x16 + 7x15 + 58x14 - 37x13 - 186x12 + 151x11 - 314x10 + 404x9 - 330x8 + 297x7 - 201x6 + 123x5 - 65x4 + 32x3 - 18x2 + 7x - 1 \( 3^{10}\cdot 31^{20} \) $C_5\times D_5$ (as 25T3) trivial (GRH)
25.5.188...376.1 x25 - 2x24 - 2x23 - 10x22 + 33x21 + 5x20 - 6x19 - 115x18 - 16x17 + 168x16 + 250x15 - 16x14 + 291x13 - 1042x12 + 750x11 - 1666x10 + 1541x9 - 903x8 + 418x7 + 161x6 - 27x5 + 92x4 + 3x3 + 8x2 + 4x - 1 \( 2^{20}\cdot 41^{20} \) $C_5\times D_5$ (as 25T3) trivial (GRH)
25.5.300...849.1 x25 - 3x24 + x23 - 15x22 + 13x21 - 5x20 + 130x19 - 132x18 - 21x17 + 437x16 - 1713x15 + 747x14 + 4817x13 - 3107x12 - 7887x11 + 4826x10 + 5380x9 - 3452x8 + 864x7 - 1052x6 + 266x5 - 67x4 + 75x3 - 10x2 + 9x - 1 \( 3^{10}\cdot 61^{20} \) $C_5\times D_5$ (as 25T3) trivial (GRH)
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