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σ₀ = (1,2,3,4,5,6,7,8), σ₁ = (1,8,4,3)(5,7,6), σ∞ = (3,2)(8,5)
Base field: 1 - T + 4T^2 - 8T^3 + 17T^4 - 5T^5
Embedding: 0.339720
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