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σ₀ = (1,8,9,4,6)(2,5)(3,7), σ₁ = (1,7,3,9,8)(2,6)(4,5), σ∞ = (2,4,3,1)(6,5)
Base field: 1 - 2T - 9T^2 + 10T^3 + 4T^4
Embedding: -2.635694
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