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σ₀ = (1,5,6,4,8)(2,7,3), σ₁ = (1,2)(3,4)(5,6), σ∞ = (8,3,7,1)(4,5,2)
Base field: 1 - 2T - 6T^2 + 12T^3 - 9T^4 + 10T^5
Embedding: 2.866746
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