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σ₀ = (1,2,7,6,4,3,8), σ₁ = (1,2)(3,4)(5,6), σ∞ = (8,4,5,6,7,1)
Base field: 1 - T - T^2 - 4T^3 - 8T^4 - 5T^5
Embedding: -0.828499 + 0.364126√(-1)
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