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σ₀ = (1,6,2,7,3,5)(4,8), σ₁ = (1,6,8,4,3,7)(2,5), σ∞ = (2,1)(6,7,5,4)
Base field: 1 - 4T + 10T^2 - 16T^3 + 19T^4 - 16T^5 + 14T^6 - 8T^7 + 2T^8
Embedding: 1.296713 + 0.915874√(-1)
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