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σ₀ = (1,7,5,3)(2,4,8,6), σ₁ = (1,6,7)(3,8,4), σ∞ = (4,2,1)(5,6,3)
Base field: 1 + 2T^2 - 12T^3 - 14T^4
Embedding: -0.707107 + 2.396381√(-1)
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