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σ₀ = (1,5,2,6,7)(3,4), σ₁ = (1,4)(2,7,6)(3,5), σ∞ = (2,3,1)(5,4)
Base field: 1 - T - 9T^2 + 29T^3 - 14T^4
Embedding: -3.742462
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