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σ₀ = (1,2,3,4,5,6,7,8), σ₁ = (2,8,7)(3,6,5,4), σ∞ = (2,1)(7,3)
Base field: 1 - T + 4T^2 - 8T^3 + 17T^4 - 5T^5
Embedding: 1.196962 + 1.239658√(-1)
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