← Back to Galmap ← Back to Passport View on LMFDB σ₀ = (1,5,6,4,2,7), σ₁ = (1,2,8)(3,4)(5,6), σ∞ = (7,1)(3,4,5,8,2) Base field: 1 - 6T + 12T^2 - 36T^3 + 273T^4 - 984T^5 + 2404T^6 - 8070T^7 + 31599T^8 - 84966T^9 + 212136T^10 - 597516T^11 + 1522771T^12 - 3207516T^13 + 6028746T^14 - 9660234T^15 + 10875024T^16 - 7376112T^17 + 2492874T^18 Embedding: -0.268122 + 1.954954√(-1)