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σ₀ = (1,5,8,2,3,6,4,7), σ₁ = (1,2,7,4)(3,8,5,6), σ∞ = (2,3,1)(5,4)
Base field: 1 - 6T^2 - 8T^3 - 9T^4 + 36T^6 - 24T^7 + 6T^8
Embedding: 0.339709 - 0.257962√(-1)
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