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σ₀ = (1,2,3,4)(5,6), σ₁ = (1,5,7,8)(2,6), σ∞ = (4,3,6,1)(8,7,5,2)
Base field: 1 - 2T + T^2 - 4T^3 + 5T^4 - 6T^5 + 3T^6
Embedding: -0.803723 + 1.209750√(-1)
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