← Back to Galmap ← Back to Passport View on LMFDB σ₀ = (1,5,6,4,7,2,8), σ₁ = (1,6)(2,8)(3,7,4), σ∞ = (2,3,4,1)(6,5) Base field: 1 - 8T + 23T^2 + 50T^3 - 429T^4 + 762T^5 + 1350T^6 - 7530T^7 + 10974T^8 + 9830T^9 - 114940T^10 + 187750T^11 + 529630T^12 - 1690674T^13 - 1165686T^14 + 7909410T^15 - 1816119T^16 - 20143350T^17 + 16863165T^18 + 23349600T^19 - 33101865T^20 - 8557920T^21 + 22838760T^22 Embedding: -1.199367 - 0.164180√(-1)