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σ₀ = (1,4,5,8)(2,6,3,7), σ₁ = (1,7,3,2)(4,8,5,6), σ∞ = (4,2,1)(5,6,3)
Base field: 1 - T + 2T^2
Embedding: 0.500000 + 1.322876√(-1)
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