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σ₀ = (1,5,6,3,2,4,7), σ₁ = (2,7,4,6,5), σ∞ = (2,3,4,5,1)
Base field: 1 - T + 5T^2 + 5T^3 + 17T^4 + 20T^5 + 10T^6 - 15T^7 - 45T^8
Embedding: 1.493183 + 2.140627√(-1)
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