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σ₀ = (1,2,3,5,4)(6,7), σ₁ = (1,6,7)(2,4)(3,5), σ∞ = (2,7,1)(4,3)
Base field: 1 - T - 9T^2 + 29T^3 - 14T^4
Embedding: 0.595915
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