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σ₀ = (1,2,3,4,6,7,8,5), σ₁ = (1,2,5,3)(4,8,7,6), σ∞ = (2,3,1)(5,4)
Base field: 1 - 6T^2 - 8T^3 - 9T^4 + 36T^6 - 24T^7 + 6T^8
Embedding: 0.905812
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