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σ₀ = (1,2,3,4,5,6,7,8), σ₁ = (1,2)(3,8,7,5,4), σ∞ = (3,1)(7,6)
Base field: 1 - 2T - 4T^2 + 20T^4 + 40T^5
Embedding: 2.670724 + 0.897722√(-1)
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