← Back to Galmap ← Back to Passport View on LMFDB σ₀ = (1,7,6,4,2)(5,8), σ₁ = (1,2,8)(3,4)(5,6), σ∞ = (3,4,5,2)(7,8,6) Base field: 1 - 3T^2 - 21T^3 + 85T^4 + 792T^5 - 445T^6 - 3525T^7 + 136T^8 + 41838T^9 + 85454T^10 - 81534T^11 - 134330T^12 + 1220664T^13 + 4468202T^14 + 5463210T^15 - 2115587T^16 - 9910308T^17 + 796797T^18 + 19388859T^19 + 15453997T^20 - 7456128T^21 - 21108405T^22 - 17158365T^23 - 7260750T^24 - 1340010T^25 Embedding: -1.542829 + 3.570863√(-1)