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σ₀ = (1,7,5,2,8)(3,4)(6,9), σ₁ = (1,2,3,9)(4,5)(6,7), σ∞ = (8,1)(4,2)(5,6,3)(9,7)
Base field: 1 + 30T^2 - 20T^3 - 75T^4
Embedding: -1.256632
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