Further refine search
Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 21.15.283369569577324675950460641547443204115057882490208256.1 | x21 - 6x20 - 129x19 + 738x18 + 6841x17 - 34182x16 - 206917x15 + 754770x14 + 4078383x13 - 7593138x12 - 52093363x11 + 8626390x10 + 365734083x9 + 439496302x8 - 804532503x7 - 2198991242x6 - 1696579116x5 - 3038803440x4 - 11303652912x3 - 18939196800x2 - 14663981568x - 4441714880 | \( -\,2^{26}\cdot 13^{2}\cdot 73^{12}\cdot 1699^{2}\cdot 19440739^{2} \) | 21T117 | $[3]$ (GRH) |
| 21.15.26259569531882718908527603204728267601456420004848205824.1 | x21 - 8x20 - 133x19 + 730x18 + 9557x17 - 20774x16 - 408565x15 - 231634x14 + 9621995x13 + 27029686x12 - 96185103x11 - 598120396x10 - 342043949x9 + 4693867170x8 + 13668773237x7 + 3878121300x6 - 56490630556x5 - 147123786832x4 - 185267123790x3 - 132188180172x2 - 51125595528x - 8334777958 | \( -\,2^{26}\cdot 73^{12}\cdot 1747^{2}\cdot 2366049313^{2} \) | 21T117 | $[3]$ (GRH) |
| 21.7.51586681300498332450946128895782224927239425769528531615744.1 | x21 - 6x20 - 265x19 + 2086x18 + 25377x17 - 275360x16 - 856275x15 + 17638378x14 - 18094275x13 - 552708742x12 + 2148438139x11 + 6109557374x10 - 56018159197x9 + 67933548604x8 + 448445591701x7 - 1765983911592x6 + 1548738699448x5 + 4466942553062x4 - 15025421833232x3 + 22494335989242x2 - 21847470450442x + 11400767333306 | \( -\,2^{18}\cdot 13^{2}\cdot 19^{3}\cdot 73^{12}\cdot 133087^{2}\cdot 20457487^{2} \) | 21T117 | $[3]$ (GRH) |
| 21.21.131838233533906484946116293526969358649623533128972125601792.1 | x21 - 5x20 - 265x19 + 1555x18 + 24365x17 - 142415x16 - 1160659x15 + 5759657x14 + 34517526x13 - 107510372x12 - 681711036x11 + 562272508x10 + 7792955660x9 + 9620586940x8 - 28127643776x7 - 109840831184x6 - 170642722128x5 - 153011174128x4 - 85001700940x3 - 28954196124x2 - 5556466324x - 460979348 | \( 2^{24}\cdot 73^{15}\cdot 193^{2}\cdot 4866110647^{2} \) | 21T117 | $[3]$ (GRH) |