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σ₀ = (1,2,8,7,6)(3,9,4,5), σ₁ = (1,2,3,4), σ∞ = (6,7,8,1)(4,9,2)(5,3)
Base field: 1 - 2T - 15T^2 - 10T^3 + 5T^4
Embedding: 5.211271
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