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Results (displaying all 24 matches)

Label Polynomial Discriminant Galois group Class group
20.0.2086514456522375390625.1 x20 - 4x19 + 9x18 - 14x17 + 19x16 - 29x15 + 45x14 - 60x13 + 64x12 - 62x11 + 65x10 - 52x9 + 42x8 - 47x7 + 35x6 - 24x5 + 22x4 - 11x3 + 4x2 - 3x + 1 \( 3^{10}\cdot 5^{8}\cdot 67^{6} \) 20T288 Trivial
20.0.47644389152686853402121.2 x20 - 6x19 + 16x18 - 33x17 + 57x16 - 66x15 + 54x14 - 15x13 - 36x12 + 78x11 - 99x10 + 78x9 - 36x8 - 15x7 + 54x6 - 66x5 + 57x4 - 33x3 + 16x2 - 6x + 1 \( 3^{18}\cdot 223^{6} \) 20T288 Trivial (GRH)
20.0.56647250677292005851136.1 x20 - 10x19 + 49x18 - 156x17 + 367x16 - 692x15 + 1106x14 - 1548x13 + 1927x12 - 2150x11 + 2157x10 - 1936x9 + 1537x8 - 1068x7 + 644x6 - 332x5 + 145x4 - 54x3 + 17x2 - 4x + 1 \( 2^{40}\cdot 61^{6} \) 20T288 Trivial
20.4.223904745130829775390625.2 x20 - 2x19 - x18 + 15x17 - 23x16 - 39x15 + 68x14 + 25x13 - 74x12 + 12x11 + 59x10 - 20x9 - 85x8 + 52x7 + 47x6 - 35x5 - 3x4 - 4x3 + 9x2 - 4x + 1 \( 5^{10}\cdot 13^{6}\cdot 41^{6} \) 20T288 Trivial (GRH)
20.0.874231651432481601634281.2 x20 - 7x19 + 15x18 - 10x17 + 34x16 - 136x15 + 136x14 - 63x13 + 371x12 - 614x11 + 386x10 - 457x9 + 332x8 - 12x7 + 129x6 + 49x5 + 13x4 + 10x3 + 2x2 + x + 1 \( 3^{10}\cdot 1567^{6} \) 20T288 Trivial (GRH)
20.0.2004493091475536548901569.1 x20 + 2x18 + 11x16 + 31x14 + 67x12 + 115x10 + 171x8 + 194x6 + 161x4 + 84x2 + 16 \( 19^{10}\cdot 83^{6} \) 20T288 Trivial
20.4.5597618628270744384765625.1 x20 - 11x18 + 63x16 - 218x14 + 493x12 - 827x10 + 1137x8 - 1157x6 + 180x4 - 21x2 + 1 \( 5^{12}\cdot 13^{6}\cdot 41^{6} \) 20T288 Trivial (GRH)
20.8.240663579466141115896800721.1 x20 - 5x19 + 10x18 + 6x17 - 74x16 + 171x15 - 136x14 - 322x13 + 921x12 - 653x11 - 699x10 + 1328x9 - 176x8 - 678x7 + 468x6 + 206x5 - 157x4 - 65x3 + 4x2 + 6x + 1 \( 13^{10}\cdot 347^{6} \) 20T288 Trivial (GRH)
20.8.240663579466141115896800721.2 x20 - 6x19 + 10x18 + 17x17 - 96x16 + 137x15 + 37x14 - 351x13 + 411x12 - 285x11 + 94x10 - 124x9 + 633x8 - 25x7 - 109x6 - 100x5 + 45x4 + 37x3 - 13x2 - 3x + 1 \( 13^{10}\cdot 347^{6} \) 20T288 Trivial (GRH)
20.0.820321145738470682226262521.1 x20 - 2x19 - 2x18 + 8x17 - 7x16 - 2x15 - 10x14 + 40x13 + 13x12 - 126x11 + 219x10 - 340x9 + 38x8 + 852x7 - 794x6 - 322x5 + 676x4 + 420x3 - 500x2 - 750x + 625 \( 3^{10}\cdot 4903^{6} \) 20T288 Trivial (GRH)
20.0.12139714372817312289823719424.1 x20 - 5x19 + 12x18 - 31x17 + 96x16 - 117x15 + 40x14 - 329x13 + 697x12 - 24x11 - 402x10 - 968x9 + 3067x8 - 4237x7 + 4190x6 - 3283x5 + 1982x4 - 893x3 + 304x2 - 73x + 9 \( 2^{16}\cdot 13^{14}\cdot 19^{6} \) 20T288 $[2]$ (GRH)
20.0.17313300662569099483282407424.1 x20 - 8x18 + 21x16 - 22x14 + 98x12 - 176x10 + 205x8 - 152x6 + 76x4 - 24x2 + 4 \( 2^{42}\cdot 89^{8} \) 20T288 $[2]$ (GRH)
20.0.72694810795678541153171964441.1 x20 - 4x19 + x18 - 7x17 + 54x16 + 70x15 - 373x14 - 105x13 + 731x12 + 338x11 + 324x10 - 3962x9 + 3830x8 - 2700x7 + 6404x6 - 8533x5 + 6930x4 - 4565x3 + 2272x2 - 656x + 79 \( 3^{26}\cdot 7^{6}\cdot 79^{6} \) 20T288 $[2]$ (GRH)
20.0.654253297161106870378547679969.1 x20 - 10x19 + 75x18 - 390x17 + 1602x16 - 5268x15 + 14090x14 - 30920x13 + 55743x12 - 82466x11 + 99350x10 - 96015x9 + 72432x8 - 40386x7 + 14757x6 - 2239x5 - 461x4 - 84x3 + 336x2 - 147x + 21 \( 3^{28}\cdot 7^{6}\cdot 79^{6} \) 20T288 $[2, 4]$ (GRH)
20.0.6976189580273785130450944000000.1 x20 + 11x18 + 11x16 - 50x14 - 23x12 + 101x10 - 23x8 - 50x6 + 11x4 + 11x2 + 1 \( 2^{40}\cdot 5^{6}\cdot 67^{8} \) 20T288 $[4]$ (GRH)
20.0.6976189580273785130450944000000.2 x20 + 8x18 + 4x16 + 96x14 + 762x12 - 160x10 - 5176x8 + 6288x6 + 44361x4 + 42280x2 + 676 \( 2^{40}\cdot 5^{6}\cdot 67^{8} \) 20T288 $[4]$ (GRH)
20.12.174540240720424177308765886622841.1 x20 - 6x18 - 31x16 - 717x14 + 1012x12 + 3513x10 + 8712x8 - 17373x6 + 9261x4 - 1782x2 + 81 \( 3^{26}\cdot 7^{10}\cdot 79^{6} \) 20T288 Trivial (GRH)
20.12.293124260151066505049566650390625.1 x20 - 14x18 + 57x16 - 58x14 + 216x12 - 1568x10 + 2451x8 - 4038x6 + 17047x4 - 18614x2 + 5041 \( 5^{14}\cdot 6029^{6} \) 20T288 Trivial (GRH)
20.4.1969799822613689762148183291015625.1 x20 - 10x19 + 43x18 - 74x17 - 105x16 + 1038x15 - 3587x14 + 9035x13 - 17355x12 + 24617x11 - 15587x10 - 28001x9 + 145716x8 - 311207x7 + 514366x6 - 473357x5 + 360299x4 + 378181x3 - 556830x2 + 950849x - 397561 \( 5^{10}\cdot 61^{6}\cdot 397^{6} \) 20T288 $[2]$ (GRH)
20.4.1969799822613689762148183291015625.2 x20 - 4x19 + 23x18 - 38x17 + 157x16 + 126x15 - 239x14 + 5543x13 - 9767x12 + 48731x11 - 52647x10 + 197277x9 + 60753x8 + 239947x7 + 1556367x6 - 309932x5 + 5752551x4 + 1073140x3 + 5045800x2 + 3532675x - 2727775 \( 5^{10}\cdot 61^{6}\cdot 397^{6} \) 20T288 $[2]$ (GRH)
20.20.7328106503776662626239166259765625.1 x20 - 2x19 - 52x18 + 54x17 + 1043x16 - 257x15 - 9971x14 - 3292x13 + 46783x12 + 33124x11 - 104150x10 - 94221x9 + 117415x8 + 120651x7 - 68101x6 - 76144x5 + 19449x4 + 22227x3 - 2826x2 - 2171x + 379 \( 5^{16}\cdot 6029^{6} \) 20T288 Trivial (GRH)
20.20.7328106503776662626239166259765625.2 x20 - 2x19 - 60x18 + 17x17 + 1471x16 + 1718x15 - 16187x14 - 39300x13 + 62822x12 + 303701x11 + 127754x10 - 819879x9 - 1254600x8 + 67624x7 + 1479197x6 + 976031x5 - 187919x4 - 324785x3 - 11881x2 + 34267x - 1181 \( 5^{16}\cdot 6029^{6} \) 20T288 Trivial (GRH)
20.0.22416185558603163911567862205995264.1 x20 - 5x19 + 33x18 - 56x17 + 264x16 - 132x15 + 1608x14 + 355x13 + 6315x12 + 5561x11 + 19739x10 + 18482x9 + 33800x8 + 32094x7 + 40751x6 + 29511x5 + 19191x4 + 6594x3 + 1781x2 + 44x + 1 \( 2^{8}\cdot 3^{10}\cdot 33769^{6} \) 20T288 $[3, 3, 72]$ (GRH)
20.0.24878780957655793495376914385207296.1 x20 + 41x18 + 708x16 + 6744x14 + 39000x12 + 141986x10 + 325908x8 + 456921x6 + 360529x4 + 131274x2 + 10609 \( 2^{24}\cdot 33769^{6} \) 20T288 $[284]$ (GRH)


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