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σ₀ = (1,4,5,3,8)(2,7), σ₁ = (1,2,3)(4,5,6), σ∞ = (8,2,7,1)(4,3)(6,5)
Base field: 1 - 2T - 9T^2 - 60T^3 + 60T^4
Embedding: 0.873142
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