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σ₀ = (1,4,2,3,7,6,5,8), σ₁ = (1,2,8,5)(3,4,6,7), σ∞ = (2,3,1)(5,4)
Base field: 1 - 6T^2 - 8T^3 - 9T^4 + 36T^6 - 24T^7 + 6T^8
Embedding: -0.346649 + 1.634125√(-1)
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