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σ₀ = (1,2,4,3,6,7,5), σ₁ = (2,8,4,6)(3,5), σ∞ = (3,8,2,1)(6,5,7,4)
Base field: 1 - T + 3T^2 + 3T^3 + 2T^4
Embedding: -0.455630 + 0.510276√(-1)
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