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σ₀ = (1,7,5,3,4,6), σ₁ = (1,8)(2,3)(4,5), σ∞ = (6,5,7,8,1)(3,4,2)
Base field: 1 - T + 6T^2 + 9T^3 - 9T^4
Embedding: -1.518935
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