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σ₀ = (1,5,4,3,2,7,8)(6,9), σ₁ = (1,9,6)(2,8,7), σ∞ = (2,3,4,5,6,1)
Base field: 1 - T - 5T^2 - 3T^3 + 21T^4 + 27T^5 + 27T^6 - 3T^7
Embedding: -1.466215 + 1.069148√(-1)
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