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