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σ₀ = (1,8,5,6,7)(2,4,3), σ₁ = (1,2,7,6,8), σ∞ = (2,3,4,1)(6,5)
Base field: 1 - 2T - 9T^2 + 38T^3 - 46T^4 - 42T^5 + 181T^6 - 242T^7 + 111T^8
Embedding: -3.644603
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