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σ₀ = (1,2,3,4)(5,6)(7,8), σ₁ = (1,6,7)(3,8)(4,5), σ∞ = (5,1)(7,3,2)(8,6,4)
Base field: 1 - 2T + 6T^2 - 6T^4
Embedding: 0.875245 - 2.392063√(-1)
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