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Results (displaying all 8 matches)

Label Polynomial Discriminant Galois group Class group
20.0.6802209109663753569286129.1 x20 - 8x19 + 33x18 - 96x17 + 225x16 - 428x15 + 639x14 - 722x13 + 605x12 - 426x11 + 458x10 - 746x9 + 1001x8 - 1010x7 + 873x6 - 694x5 + 455x4 - 214x3 + 66x2 - 12x + 1 \( 11^{16}\cdot 23^{6} \) $C_2^4:C_5$ (as 20T17) $[2]$
20.4.6802209109663753569286129.1 x20 - 5x19 + 6x18 + 4x17 - 17x16 - 2x15 + 41x14 + 10x13 - 52x12 + 10x11 + 99x10 - 29x9 - 260x8 - 255x7 - 53x6 + 79x5 + 42x4 - 9x3 - 12x2 + 4x + 1 \( 11^{16}\cdot 23^{6} \) $C_2^4:C_5$ (as 20T17) Trivial
20.0.49338146756019243307761664.1 x20 - 8x19 + 34x18 - 116x17 + 338x16 - 836x15 + 1840x14 - 3640x13 + 6408x12 - 10176x11 + 14560x10 - 18560x9 + 21128x8 - 21328x7 + 18704x6 - 14048x5 + 8976x4 - 4576x3 + 1760x2 - 704x + 352 \( 2^{30}\cdot 11^{16} \) $C_2^4:C_5$ (as 20T17) Trivial
20.4.49338146756019243307761664.1 x20 - 4x19 - 2x18 + 28x17 + 5x16 - 162x15 + 88x14 + 440x13 - 328x12 - 792x11 + 562x10 + 1012x9 - 509x8 - 880x7 + 154x6 + 410x5 - 21x4 - 108x3 - 28x2 + 2x + 1 \( 2^{30}\cdot 11^{16} \) $C_2^4:C_5$ (as 20T17) Trivial (GRH)
20.8.49338146756019243307761664.1 x20 - 2x19 - 6x18 + 34x17 - 23x16 - 150x15 + 350x14 - 84x13 - 824x12 + 1584x11 - 1154x10 - 286x9 + 1291x8 - 978x7 + 78x6 + 356x5 - 229x4 + 26x3 + 26x2 - 10x + 1 \( 2^{30}\cdot 11^{16} \) $C_2^4:C_5$ (as 20T17) Trivial (GRH)
20.8.49338146756019243307761664.2 x20 - 6x19 + 6x18 + 40x17 - 138x16 + 134x15 + 140x14 - 428x13 + 201x12 + 320x11 - 330x10 - 70x9 + 180x8 + 68x7 - 196x6 - 68x5 + 152x4 + 20x3 - 34x2 - 4x + 1 \( 2^{30}\cdot 11^{16} \) $C_2^4:C_5$ (as 20T17) Trivial (GRH)
20.20.7303816416639774784171798530359296.1 x20 - 4x19 - 52x18 + 138x17 + 1252x16 - 1396x15 - 16494x14 - 2978x13 + 114593x12 + 138432x11 - 345938x10 - 844624x9 + 1044x8 + 1741890x7 + 1829836x6 - 256700x5 - 1985280x4 - 1827912x3 - 827226x2 - 193988x - 18877 \( 2^{30}\cdot 11^{16}\cdot 23^{6} \) $C_2^4:C_5$ (as 20T17) Trivial (GRH)
20.20.7303816416639774784171798530359296.2 x20 - 8x19 - 26x18 + 398x17 - 557x16 - 5658x15 + 21734x14 + 2950x13 - 161406x12 + 328090x11 - 83864x10 - 525816x9 + 641159x8 + 15436x7 - 485786x6 + 263660x5 + 54989x4 - 87604x3 + 22770x2 + 22x - 473 \( 2^{30}\cdot 11^{16}\cdot 23^{6} \) $C_2^4:C_5$ (as 20T17) Trivial (GRH)


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