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σ₀ = (1,5,7,6,4)(2,3,9,8), σ₁ = (1,2,3,4)(5,6), σ∞ = (3,1)(8,9,2)(5,4)(7,6)
Base field: 1 - 9T^2 - 16T^3 + 57T^4
Embedding: 2.558541
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