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σ₀ = (1,2,3,4)(5,6), σ₁ = (1,3,8)(2,7)(4,5), σ∞ = (5,6,4,1)(8,3,7,2)
Base field: 1 - 2T^2 - 4T^3 + 12T^6
Embedding: 1.474506
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