Learn more about

Refine search


Results (6 matches)

  Download to        
Label Polynomial Discriminant Galois group Class group
18.2.393...424.1 x18 - 3x12 + 327x6 - 1 \( 2^{18}\cdot 3^{36} \) $C_3:S_4$ (as 18T37) trivial (GRH)
18.2.200...000.1 x18 - 8x15 + 2x12 + 76x9 - 4x6 - 32x3 - 8 \( 2^{18}\cdot 3^{22}\cdot 5^{12} \) $C_3:S_4$ (as 18T37) $[3]$
18.6.481...096.1 x18 - 9x17 + 72x16 - 372x15 + 1584x14 - 5292x13 + 14172x12 - 30510x11 + 49905x10 - 58939x9 + 38484x8 + 13770x7 - 72978x6 + 102312x5 - 87048x4 + 48672x3 - 17280x2 + 3456x - 288 \( 2^{12}\cdot 3^{36}\cdot 23^{8} \) $C_3:S_4$ (as 18T37) trivial (GRH)
18.6.128...856.1 x18 - 3x17 - 42x15 - 110x14 + 332x13 + 219x12 + 1276x11 - 3494x10 - 12539x9 + 24077x8 + 22738x7 + 12556x6 - 9361x5 - 277423x4 + 8295x3 + 548514x2 + 236088x - 60831 \( 2^{12}\cdot 7^{12}\cdot 197^{8} \) $C_3:S_4$ (as 18T37) $[12]$ (GRH)
18.18.250...656.1 x18 - 3x17 - 73x16 + 214x15 + 1688x14 - 5008x13 - 15868x12 + 48500x11 + 61275x10 - 198755x9 - 97997x8 + 359116x7 + 52726x6 - 291004x5 + 13708x4 + 92466x3 - 15181x2 - 5415x + 339 \( 2^{12}\cdot 3^{8}\cdot 2351^{8} \) $C_3:S_4$ (as 18T37) $[3]$ (GRH)
18.18.462...576.1 x18 - 57x16 + 1236x14 - 13444x12 + 82062x10 - 297342x8 + 651252x6 - 843588x4 + 593001x2 - 173889 \( 2^{20}\cdot 3^{32}\cdot 47^{8} \) $C_3:S_4$ (as 18T37) $[3]$ (GRH)
  Download to