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σ₀ = (1,3,8,6,2)(4,9,5,7), σ₁ = (1,2)(3,4)(5,6), σ∞ = (5,9,3,2)(7,6,8,4)
Base field: 1 - 9T^2 - 24T^3 - 18T^4
Embedding: 4.012416
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