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σ₀ = (1,5,2,8,6,7,3,4), σ₁ = (1,2,3)(4,5,6), σ∞ = (6,8,1)(4,2)(7,5,3)
Base field: 1 + 6T^2 - 8T^3 + 10T^4 - 24T^5 - 8T^6 - 16T^7 - 8T^8
Embedding: 1.680748
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