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σ₀ = (1,7,4,8,9)(2,6)(3,5), σ₁ = (1,7)(2,9,8,4,5)(3,6), σ∞ = (2,3,4,1)(6,5)
Base field: 1 - 2T - 9T^2 + 10T^3 + 4T^4
Embedding: 3.635694
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