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σ₀ = (1,6,5,4,3,2,7)(8,9), σ₁ = (2,7,9,8), σ∞ = (2,3,4,5,6,1)(8,7)
Base field: 1 - T - 9T^2 - 18T^3 - 18T^4
Embedding: 4.296625
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