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