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σ₀ = (1,3,5,4,7,6,2,8), σ₁ = (1,2)(3,4)(5,6), σ∞ = (8,1)(5,4,6,7,3,2)
Base field: 1 - 2T^2 - 4T^3 + 12T^6
Embedding: -1.380156 + 0.907258√(-1)
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