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σ₀ = (1,6,8,4,3,5)(2,7), σ₁ = (1,3,2)(4,6), σ∞ = (5,1)(7,3,6,2)(8,4)
Base field: 1 - 6T^2 - 4T^3 - 9T^4 - 12T^5 - 4T^6
Embedding: -0.539970
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