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σ₀ = (1,8,3,4,5,6)(2,7), σ₁ = (1,7,2)(4,8,6), σ∞ = (8,2,1)(4,3)(6,5)
Base field: 1 + 3T^2 - 4T^3 + 3T^4 - T^6
Embedding: 0.717922
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