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σ₀ = (1,2,3,4,5,6,7,8), σ₁ = (2,8,5,4,3)(6,7), σ∞ = (2,1)(8,6)
Base field: 1 - 2T - 4T^2 + 20T^4 + 40T^5
Embedding: -0.863606 - 1.541284√(-1)
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