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σ₀ = (1,7,6,2,5,3), σ₁ = (1,8)(2,3)(4,5), σ∞ = (2,6,7,8,1)(4,5,3)
Base field: 1 - T + 6T^2 + 9T^3 - 9T^4
Embedding: 0.913442 + 2.779825√(-1)
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