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Results (displaying all 12 matches)

Label Polynomial Discriminant Galois group Class group
20.8.6802209109663753569286129.1 x20 - x19 + 8x17 - 23x16 + 46x15 - 74x14 + 79x13 - 60x12 - 6x11 + 81x10 - 206x9 + 260x8 - 124x7 + 71x6 - 108x5 - 214x4 + 189x3 + 77x2 - 20x + 1 \( 11^{16}\cdot 23^{6} \) $C_2\times C_2^4:C_5$ (as 20T46) Trivial (GRH)
20.0.6802209109663753569286129.2 x20 - 3x19 + 14x18 - 33x17 + 85x16 - 156x15 + 281x14 - 417x13 + 590x12 - 734x11 + 869x10 - 875x9 + 908x8 - 679x7 + 668x6 - 321x5 + 303x4 - 77x3 + 42x2 - 4x + 1 \( 11^{16}\cdot 23^{6} \) $C_2\times C_2^4:C_5$ (as 20T46) $[2]$
20.0.49338146756019243307761664.2 x20 - 2x19 + 2x18 + 6x17 + x16 + 2x15 + 20x14 + 20x13 + 81x12 + 82x11 + 56x10 + 110x9 + 140x8 + 340x7 + 676x6 + 872x5 + 1057x4 + 988x3 + 628x2 + 332x + 131 \( 2^{30}\cdot 11^{16} \) $C_2\times C_2^4:C_5$ (as 20T46) Trivial
20.8.49338146756019243307761664.5 x20 - 2x19 - 6x18 + 4x17 + 20x16 - 6x15 - 38x14 + 102x13 + 162x12 - 306x11 - 818x10 - 648x9 - 25x8 + 368x7 + 310x6 + 76x5 - 42x4 - 24x3 + 6x2 + 6x + 1 \( 2^{30}\cdot 11^{16} \) $C_2\times C_2^4:C_5$ (as 20T46) Trivial (GRH)
20.4.823067302269314181883621609.1 x20 - 5x19 + 9x18 - 9x17 + 11x16 - 21x15 - 16x14 + 141x13 - 361x12 + 484x11 - 461x10 + 363x9 - 445x8 + 410x7 - 133x6 + 133x5 - 143x4 + 39x3 - 8x2 - x + 1 \( 11^{18}\cdot 23^{6} \) $C_2\times C_2^4:C_5$ (as 20T46) $[2]$
20.4.823067302269314181883621609.2 x20 - 3x19 + 8x18 - 21x17 + 55x16 - 89x15 + 146x14 - 272x13 + 406x12 - 385x11 + 430x10 - 627x9 + 615x8 - 349x7 - 514x6 + 890x5 - 726x4 + 287x3 - 47x2 - 3x + 1 \( 11^{18}\cdot 23^{6} \) $C_2\times C_2^4:C_5$ (as 20T46) $[2]$
20.4.5969915757478328440239161344.4 x20 - 4x19 + 4x18 - 12x17 + 55x16 - 98x15 + 194x14 - 348x13 + 615x12 - 1188x11 + 1970x10 - 3806x9 + 3640x8 - 4066x7 + 7168x6 - 12880x5 + 11693x4 - 4082x3 + 70x2 + 84x + 1 \( 2^{30}\cdot 11^{18} \) $C_2\times C_2^4:C_5$ (as 20T46) Trivial (GRH)
20.4.5969915757478328440239161344.5 x20 - 6x19 + 6x18 + 12x17 - 32x16 - 58x15 + 208x14 - 36x13 - 480x12 + 154x11 + 1376x10 - 44x9 - 1295x8 + 26x7 + 1206x6 + 168x5 - 118x4 - 86x3 - 14x2 + 2x + 1 \( 2^{30}\cdot 11^{18} \) $C_2\times C_2^4:C_5$ (as 20T46) Trivial (GRH)
20.0.7303816416639774784171798530359296.3 x20 - 6x19 + 24x18 - 90x17 + 351x16 - 870x15 + 806x14 + 4518x13 - 22332x12 + 26478x11 + 156658x10 - 1013022x9 + 3400561x8 - 8011944x7 + 14259924x6 - 19938342x5 + 22096203x4 - 18640836x3 + 10953478x2 - 3882390x + 612679 \( 2^{30}\cdot 11^{16}\cdot 23^{6} \) $C_2\times C_2^4:C_5$ (as 20T46) $[2, 4, 20]$ (GRH)
20.0.7303816416639774784171798530359296.4 x20 - 4x19 + 22x18 + 125x16 + 252x15 + 544x14 + 2908x13 - 3650x12 - 2204x11 + 30356x10 + 56748x9 + 48918x8 + 41876x7 + 567360x6 + 977364x5 + 997121x4 + 2976592x3 + 3930518x2 + 3465188x + 2935789 \( 2^{30}\cdot 11^{16}\cdot 23^{6} \) $C_2\times C_2^4:C_5$ (as 20T46) $[2, 4, 20]$ (GRH)
20.20.7303816416639774784171798530359296.5 x20 - 4x19 - 54x18 + 142x17 + 1215x16 - 1658x15 - 14226x14 + 5956x13 + 91351x12 + 20666x11 - 319628x10 - 208840x9 + 584299x8 + 561074x7 - 505908x6 - 639678x5 + 156250x4 + 296450x3 - 2608x2 - 43810x - 263 \( 2^{30}\cdot 11^{16}\cdot 23^{6} \) $C_2\times C_2^4:C_5$ (as 20T46) Trivial (GRH)
20.20.7303816416639774784171798530359296.6 x20 - 6x19 - 40x18 + 340x17 + 74x16 - 5752x15 + 10688x14 + 30864x13 - 120232x12 + 20384x11 + 451848x10 - 649264x9 - 326024x8 + 1665312x7 - 1394144x6 - 476416x5 + 1818032x4 - 1585536x3 + 712224x2 - 169280x + 16928 \( 2^{30}\cdot 11^{16}\cdot 23^{6} \) $C_2\times C_2^4:C_5$ (as 20T46) Trivial (GRH)


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