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σ₀ = (1,2,3,4,5)(6,7,8), σ₁ = (1,9,2)(3,5,6,8,7), σ∞ = (3,9,1)(7,5,4)
Base field: 1 - 2T - 2T^2 - 9T^4 - 2T^6 - 2T^7 + T^8
Embedding: 3.006692
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