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