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σ₀ = (1,2,3,4,5), σ₁ = (1,8,2)(3,5,6,7,4), σ∞ = (3,8,1)(7,6,5)
Base field: 1 - 3T^2 - 12T^3
Embedding: -1.360946 + 1.598913√(-1)
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