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σ₀ = (1,4,5,6,7,2,8), σ₁ = (2,8)(3,7,6,5,4), σ∞ = (2,3,4,1)
Base field: 1 - T - 3T^2 + 8T^4
Embedding: 1.748934 + 0.536915√(-1)
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