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σ₀ = (1,7,2,6,3,4)(5,8), σ₁ = (1,2,3)(4,5,6)(7,8), σ∞ = (6,1)(8,4,2)(5,7,3)
Base field: 1 - 2T - 3T^2 - 2T^3 + T^4
Embedding: 3.130001
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