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σ₀ = (1,4,5,6)(2,3,7)(8,9), σ₁ = (1,8,2,9)(3,7)(4,6,5), σ∞ = (4,9,1)(3,8,2)
Base field: 1 - 12T^2 + 27T^4 - 8T^6
Embedding: 0.590589
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