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σ₀ = (1,8,9,5,3,4,6,7), σ₁ = (1,2,7)(4,5)(6,9,8), σ∞ = (2,1)(4,3)(6,5)(8,7)
Base field: 1 - 8T^3 + 9T^4 + 18T^6
Embedding: -1.322726 + 1.683176√(-1)
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