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Results (displaying all 18 matches)

Label Polynomial Discriminant Galois group Class group
18.2.234914351128288137216.1 x18 + 9x16 + 36x14 + 84x12 + 126x10 + 126x8 + 83x6 + 33x4 + 6x2 - 1 \( 2^{12}\cdot 3^{18}\cdot 23^{6} \) 18T520 Trivial
18.2.970168002150400000000.2 x18 + 3x16 - 4x14 - 11x12 + x10 + 9x8 + 47x6 - 26x4 + 6x2 - 1 \( 2^{24}\cdot 5^{8}\cdot 23^{6} \) 18T520 Trivial
18.6.5064288990059881824256.1 x18 - x16 - 3x14 + 6x12 - 4x10 - 7x8 + 15x6 - 13x4 + 6x2 - 1 \( 2^{24}\cdot 7^{6}\cdot 37^{6} \) 18T520 Trivial
18.6.23230316949361551212544.1 x18 - 6x17 + 23x16 - 68x15 + 143x14 - 224x13 + 264x12 - 192x11 + 20x10 + 148x9 - 269x8 + 312x7 - 243x6 + 142x5 - 65x4 + 14x3 + 8x2 - 6x + 1 \( 2^{18}\cdot 3^{10}\cdot 107^{6} \) 18T520 Trivial
18.2.90134835385419696439296.1 x18 - 6x14 - 3x12 + 45x10 + 129x8 - 51x6 - 72x4 - 15x2 - 1 \( 2^{18}\cdot 3^{18}\cdot 31^{6} \) 18T520 Trivial (GRH)
18.2.236138896507797504000000.1 x18 - 5x17 + 12x16 - 18x15 - x14 + 81x13 - 170x12 + 120x11 + 128x10 - 396x9 + 344x8 + 52x7 - 312x6 + 216x5 + 34x4 - 182x3 + 138x2 - 42x + 4 \( 2^{32}\cdot 3^{6}\cdot 5^{6}\cdot 13^{6} \) 18T520 Trivial
18.6.2634203718567867158102016.1 x18 - 6x17 + 9x16 + 14x15 - 81x14 + 138x13 + 16x12 - 336x11 + 402x10 - 504x9 + 597x8 + 312x7 - 1039x6 + 324x5 + 261x4 - 46x3 - 72x2 + 11 \( 2^{18}\cdot 3^{18}\cdot 11^{10} \) 18T520 Trivial (GRH)
18.6.3778222344124760064000000.1 x18 - 4x16 + 24x14 - 72x12 - 38x10 + 228x8 + 36x6 - 144x4 + x2 - 16 \( 2^{36}\cdot 3^{6}\cdot 5^{6}\cdot 13^{6} \) 18T520 Trivial
18.6.194518242170312579290364903424.1 x18 - 12x16 - 6x15 - 9x14 - 120x13 - 222x12 - 102x11 + 339x10 + 28x9 - 996x8 - 510x7 + 977x6 + 2316x5 + 1770x4 - 502x3 - 1476x2 - 744x - 184 \( 2^{28}\cdot 3^{24}\cdot 37^{6} \) 18T520 Trivial (GRH)
18.10.778072968681250317161459613696.1 x18 - 6x16 - 45x14 + 100x12 + 399x10 - 486x8 - 519x6 + 108x4 + 24x2 - 4 \( 2^{30}\cdot 3^{24}\cdot 37^{6} \) 18T520 Trivial (GRH)
18.6.778072968681250317161459613696.2 x18 + 15x16 - 18x15 + 36x14 + 6x13 - 546x12 + 918x11 - 1014x10 - 2082x9 + 4668x8 - 822x7 - 3514x6 + 4650x5 + 36x4 - 1458x3 + 2583x2 + 1158x + 23 \( 2^{30}\cdot 3^{24}\cdot 37^{6} \) 18T520 Trivial (GRH)
18.10.2012509208900019504386173566976.1 x18 - 9x17 + 18x16 + 60x15 - 410x14 + 1106x13 - 1170x12 - 1976x11 + 8083x10 - 10385x9 + 2240x8 + 12556x7 - 17528x6 + 6458x5 + 6538x4 - 9202x3 + 2540x2 + 1080x - 556 \( 2^{26}\cdot 37^{6}\cdot 43^{8} \) 18T520 Trivial (GRH)
18.14.4862956054257814482259122585600.1 x18 - 9x17 - 3x16 + 207x15 - 261x14 - 1827x13 + 3295x12 + 7917x11 - 16701x10 - 18459x9 + 42279x8 + 25917x7 - 54855x6 - 24561x5 + 33189x4 + 15583x3 - 6048x2 - 4800x - 800 \( 2^{28}\cdot 3^{24}\cdot 5^{2}\cdot 37^{6} \) 18T520 Trivial (GRH)
18.6.8050036835600078017544694267904.1 x18 - 4x16 - 2x15 - 102x14 - 80x13 - 360x12 - 100x11 + 1860x10 - 1536x9 + 13448x8 - 4200x7 - 11752x6 - 23504x5 + 48448x4 - 24848x3 + 3296x2 + 576x - 128 \( 2^{28}\cdot 37^{6}\cdot 43^{8} \) 18T520 Trivial (GRH)
18.14.25725037527023838611150758477824.1 x18 - 3x17 - 18x16 + 26x15 + 141x14 + 201x13 - 579x12 - 3141x11 + 273x10 + 12757x9 + 9159x8 - 17451x7 - 36420x6 + 1296x5 + 45819x4 - 999x3 - 11880x2 - 648x + 540 \( 2^{26}\cdot 3^{24}\cdot 23^{2}\cdot 37^{6} \) 18T520 Trivial (GRH)
18.6.34504968377159185236889600000000.1 x18 - 6x17 + 18x16 - 62x15 + 364x14 - 1354x13 + 2798x12 - 2364x11 - 864x10 + 7560x9 - 24248x8 + 29216x7 - 29640x6 + 12016x5 + 37256x4 - 30112x3 + 38896x2 + 3232x - 232 \( 2^{18}\cdot 5^{8}\cdot 7^{8}\cdot 197^{6} \) 18T520 Trivial (GRH)
18.18.1065181894124631684194038211149824.1 x18 - 6x17 - 33x16 + 196x15 + 471x14 - 2466x13 - 3711x12 + 14796x11 + 16236x10 - 43224x9 - 35292x8 + 59136x7 + 32504x6 - 38304x5 - 10032x4 + 11360x3 + 192x2 - 1152x + 160 \( 2^{30}\cdot 3^{24}\cdot 37^{8} \) 18T520 Trivial (GRH)
18.18.32972950878617919559863067721334784.1 x18 - 50x16 + 1033x14 - 11424x12 + 73299x10 - 276834x8 + 596651x6 - 670952x4 + 302564x2 - 100 \( 2^{40}\cdot 37^{6}\cdot 43^{8} \) 18T520 Trivial (GRH)


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