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σ₀ = (1,9,2,8)(3,4,5)(6,7), σ₁ = (1,5,3,9)(2,8)(4,7,6), σ∞ = (2,3,1)(5,6,4)
Base field: 1 - 12T^2 + 27T^4 - 8T^6
Embedding: -1.583903
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