← Back to Galmap ← Back to Passport View on LMFDB σ₀ = (1,4,3,7,8)(2,6,5), σ₁ = (1,5)(2,4,6)(3,7), σ∞ = (8,3,2,1)(5,4) Base field: 1 - 4T - 12T^2 + 72T^3 + 33T^4 - 552T^5 + 138T^6 + 2232T^7 - 1083T^8 - 4852T^9 + 3112T^10 + 5832T^11 - 3801T^12 - 2880T^13 + 1710T^14 Embedding: 2.332431 + 1.789053√(-1)