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