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σ₀ = (1,2,3,4,5)(6,7,8), σ₁ = (1,9,4)(2,8,7,6,3), σ∞ = (5,9,1)(4,6,2)
Base field: 1 - 2T - 2T^2 - 9T^4 - 2T^6 - 2T^7 + T^8
Embedding: -0.632815
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