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σ₀ = (1,7,5,2,6,3,8,4), σ₁ = (1,2,3)(4,5,6), σ∞ = (6,1)(4,8,2)(5,7,3)
Base field: 1 + 6T^2 - 8T^3 + 10T^4 - 24T^5 - 8T^6 - 16T^7 - 8T^8
Embedding: -0.436913
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