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σ₀ = (1,4,8,6,7,3), σ₁ = (1,2,3)(4,5,6), σ∞ = (2,1)(7,5,4,3)(8,6)
Base field: 1 - T - 5T^2 + 7T^3 - 7T^4 + 7T^5
Embedding: 0.066360 - 0.994205√(-1)
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