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