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Results (10 matches)

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Label Polynomial Discriminant Galois group Class group
23.1.831...703.1 x23 - 2x22 - 3x21 + 13x20 - 19x19 + 21x18 - 75x16 + 202x15 - 378x14 + 596x13 - 798x12 + 955x11 - 995x10 + 849x9 - 610x8 + 384x7 - 151x6 + 2x5 + 46x4 - 37x3 + 3x2 + 20x + 1 \( -\,647^{11} \) $D_{23}$ (as 23T2) trivial (GRH)
23.1.152...439.1 x23 + 4x21 - 14x20 + 25x19 - 6x18 - 14x17 - 26x16 + 31x15 + 48x14 - 62x13 + 19x12 + 19x11 + 24x10 - 17x9 + 34x8 + 40x7 - 228x6 + 76x5 + 4x4 + 28x3 + 45x2 + 49x + 1 \( -\,1039^{11} \) $D_{23}$ (as 23T2) trivial (GRH)
23.1.293...047.1 x23 + 5x21 - 17x20 + 33x19 - 14x18 + 53x17 - 34x16 - 19x15 + 140x14 - 19x13 + 257x12 - 106x11 - 16x10 + 274x9 + 165x8 + 515x7 - 28x6 + 129x5 + 89x4 + 524x3 + 244x2 + 50x - 1 \( -\,1103^{11} \) $D_{23}$ (as 23T2) trivial (GRH)
23.1.149...079.1 x23 - 7x22 + 15x21 - 6x20 + x19 - 21x18 + 17x17 + 2x16 + 46x15 - 10x14 + 108x13 - 129x12 - 98x11 - 144x10 - 85x9 + 8x8 + 187x7 - 82x6 + 363x5 + 216x4 - 128x3 - 51x2 + 77x - 1 \( -\,1279^{11} \) $D_{23}$ (as 23T2) trivial (GRH)
23.1.582...903.1 x23 - 2x22 + 16x21 - 34x20 + 68x19 - 63x18 + 17x17 + 43x16 - 139x15 + 165x14 + 25x13 - 228x12 + 265x11 - 270x10 + 75x9 + 246x8 - 130x7 - 161x6 + 240x5 - 393x4 + 569x3 - 385x2 + 99x + 1 \( -\,1447^{11} \) $D_{23}$ (as 23T2) trivial (GRH)
23.1.697...671.1 x23 - 5x22 + 3x21 + 3x20 + 43x19 - 6x18 - 31x17 - 56x16 - 68x15 - 89x14 + 147x13 + 180x12 + 274x11 + 240x10 - 211x9 - 521x8 - 383x7 - 275x6 + 291x5 + 249x4 + 358x3 - 9x2 + 107x + 1 \( -\,1471^{11} \) $D_{23}$ (as 23T2) trivial (GRH)
23.1.687...411.1 x23 - 3x22 + 7x21 - 8x20 - 11x19 + 19x18 + 160x17 + 291x16 + 464x15 - 35x14 - 648x13 - 1313x12 - 1101x11 - 240x10 + 1477x9 + 1043x8 + 863x7 - 10x6 - 264x5 - 712x4 - 80x3 - 2304x2 - 2048x - 1024 \( -\,1811^{11} \) $D_{23}$ (as 23T2) trivial (GRH)
23.1.182...779.1 x23 - 11x22 + 47x21 - 78x20 - 51x19 + 367x18 - 359x17 - 364x16 + 1182x15 - 712x14 - 1586x13 + 3310x12 - 393x11 - 5271x10 + 5059x9 + 3246x8 - 8091x7 - 125x6 + 10047x5 - 6818x4 - 2608x3 + 2872x2 + 1488x - 2176 \( -\,1979^{11} \) $D_{23}$ (as 23T2) trivial (GRH)
23.1.865...983.1 x23 - 23x20 + 184x19 - 1334x18 + 3680x17 - 7567x16 + 3381x15 + 48346x14 - 105455x13 + 165048x12 - 1033942x11 + 3237457x10 - 6694426x9 + 24074675x8 - 57748676x7 + 58090042x6 - 24771506x5 + 67771087x4 - 75769360x3 + 19385596x2 - 386078x + 1437601 \( -\,23^{33} \) $D_{23}$ (as 23T2) trivial (GRH)
23.23.126...657.1 x23 - 11x22 - 49x21 + 847x20 + 333x19 - 27195x18 + 26294x17 + 472463x16 - 807088x15 - 4813093x14 + 11025393x13 + 28842666x12 - 85904881x11 - 92539623x10 + 401542378x9 + 86961683x8 - 1107595373x7 + 357772746x6 + 1662322180x5 - 1168158873x4 - 1079773672x3 + 1139070319x2 + 85927891x - 235248461 \( 23593^{11} \) $D_{23}$ (as 23T2) trivial (GRH)
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