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σ₀ = (1,5,3,6,4)(2,7), σ₁ = (1,2,3)(4,5,6), σ∞ = (6,2,7,1)(4,5,3)
Base field: 1 - 2T - 21T^2 - 8T^3 + 16T^4
Embedding: 5.785888
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