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σ₀ = (1,3,4,5,6,8)(2,7), σ₁ = (1,7,2)(3,6,5), σ∞ = (8,3,2,1)(5,4)
Base field: 1 - T + 4T^2 - 8T^3 + 17T^4 - 5T^5
Embedding: -0.866823 - 2.050623√(-1)
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