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σ₀ = (1,7,2,6)(3,5)(4,8), σ₁ = (1,3,2,8)(4,7), σ∞ = (6,3,5,1)(4,2)(8,7)
Base field: 1 - 2T - 2T^3 + T^4
Embedding: 2.296630
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