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σ₀ = (1,2,3,4,5,6)(7,8,9), σ₁ = (1,8,7,5,3)(6,9), σ∞ = (9,1)(3,2)(5,4)(7,6)
Base field: 1 - T + 8T^2 - 4T^3 + 7T^4 + 37T^5
Embedding: -1.261717
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