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σ₀ = (1,2,3,4,5,6)(7,8,9), σ₁ = (2,7,5,4,3)(8,9), σ∞ = (6,7,8,2,1)
Base field: 1 - 12T^2 - 16T^3 + 54T^4 + 96T^5 - 84T^6 - 264T^7 + 216T^8
Embedding: 1.701658
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