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σ₀ = (1,2,7,6,8,4,3), σ₁ = (1,3,2,7,5,4)(6,8), σ∞ = (4,6,2)(5,7,3)
Base field: 1 - T + 3T^2 - 5T^3 + 8T^4 - 5T^5 + 3T^6 - T^7 + T^8
Embedding: 0.589152 + 0.619203√(-1)
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