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σ₀ = (1,7,8,5,2,6)(3,4), σ₁ = (1,4,2,6,3,5)(7,8), σ∞ = (2,3,1)(6,4)(7,5)
Base field: 1 - 2T - 2T^3 + T^4
Embedding: 0.435421
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