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σ₀ = (1,2,3,4,5,6,7,8), σ₁ = (1,5,3,6,8)(2,7), σ∞ = (6,1)(8,2)(7,3)(5,4)
Base field: 1 - T + 2T^2 + 2T^3
Embedding: 0.825315 - 1.546869√(-1)
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