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σ₀ = (1,2,3,4,5)(6,7)(8,9), σ₁ = (1,8,6,4)(2,3)(5,7,9), σ∞ = (9,1)(4,2)(6,5)(8,7)
Base field: 1 - 12T^2 - 14T^3
Embedding: 3.943381
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