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σ₀ = (1,2,3,4,5)(6,7,8), σ₁ = (1,5,8)(2,9,7,4,3), σ∞ = (8,9,2)(7,6,5)
Base field: 1 - 2T - 2T^2 - 9T^4 - 2T^6 - 2T^7 + T^8
Embedding: 0.268881 - 1.236175√(-1)
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