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σ₀ = (1,7,9,6,5,4,8,2), σ₁ = (3,8,4)(7,9), σ∞ = (2,3,4,5,6,7,1)
Base field: 1 - 4T + 12T^2 - 16T^3 + 28T^4 - 140T^6 + 320T^7 - 300T^8 + 144T^9 - 24T^10
Embedding: 0.307904
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