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σ₀ = (1,7,8,5,2)(3,6,4), σ₁ = (1,2,3,4)(5,6)(7,8), σ∞ = (6,2)(5,7,4)
Base field: 1 - T - 6T^2 + 30T^3 - 45T^4 + 45T^5
Embedding: 1.686375 + 1.379642√(-1)
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