← Back to Galmap ← Back to Passport View on LMFDB σ₀ = (1,2,3,4)(5,6), σ₁ = (1,6,5)(2,8,4,7), σ∞ = (8,2,5,1)(7,4,3) Base field: 1 - 8T + 12T^2 + 48T^3 - 398T^4 + 1192T^5 + 2192T^6 - 13384T^7 + 11532T^8 + 26064T^9 - 202448T^10 + 157672T^11 + 806586T^12 - 883776T^13 + 682272T^14 + 4892016T^15 - 8051575T^16 - 18363448T^17 + 1048604T^18 + 8108408T^19 + 8158164T^20 + 38848656T^21 + 51950976T^22 + 26789280T^23 + 5212368T^24 Embedding: 4.886662