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σ₀ = (1,4,2,6,8,7), σ₁ = (1,3,4,5)(2,7)(6,8), σ∞ = (2,3,1)(5,4)(7,6)
Base field: 1 - 3T - 3T^2 + 4T^3 - 6T^5 + 2T^6
Embedding: 3.560855
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