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σ₀ = (1,7,6,4,2,3)(5,8), σ₁ = (1,2,3,4)(5,6)(7,8), σ∞ = (2,3,1)(5,7,4)(8,6)
Base field: 1 - 2T + 4T^2 - 4T^3 + 2T^4 - 4T^5
Embedding: 1.430499
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