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σ₀ = (1,6,2,7,3,5)(4,8), σ₁ = (1,5,8,6,3,7)(2,4), σ∞ = (8,2)(5,6,7,4)
Base field: 1 - 4T + 10T^2 - 16T^3 + 19T^4 - 16T^5 + 14T^6 - 8T^7 + 2T^8
Embedding: 0.500000 - 0.239781√(-1)
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