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σ₀ = (1,5,6,4,8,7)(2,3), σ₁ = (1,2)(3,4)(5,6), σ∞ = (7,8,3,1)(4,5,2)
Base field: 1 - T - 8T^2 + 4T^3 + 14T^4 - 14T^5
Embedding: 2.905304
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