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σ₀ = (1,2,3,4)(5,6), σ₁ = (1,3,5)(2,6,8)(4,7), σ∞ = (7,4,1)(5,2)(8,6,3)
Base field: 1 - 2T - 4T^2 + 2T^3 + 13T^4
Embedding: -1.282428 + 0.920774√(-1)
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