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σ₀ = (1,8,7,2,6,5,3), σ₁ = (2,4,6)(3,5,7), σ∞ = (7,8,1)(5,4,2)
Base field: 1 - T - T^2 - 2T^3 + 4T^4
Embedding: 1.395644 + 0.228425√(-1)
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