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