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σ₀ = (1,6,7,4,2)(3,5,8), σ₁ = (1,2)(3,4)(5,6), σ∞ = (3,8,6,2)(7,5,4)
Base field: 1 - 2T - 6T^2 + 12T^3 - 9T^4 + 10T^5
Embedding: 1.546197
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