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σ₀ = (1,2,5,4,6,3)(7,8), σ₁ = (1,7,8)(2,3,5)(4,6), σ∞ = (2,8,1)(4,3)
Base field: 1 - 3T^2 - 8T^3 - 3T^4 + 5T^6
Embedding: -1.133740 + 1.056339√(-1)
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