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σ₀ = (1,4,7,5,3)(2,8), σ₁ = (1,2,3)(4,5,6), σ∞ = (2,8,1)(4,3)(7,6,5)
Base field: 1 - T - 3T^3 + 2T^5 + 8T^6 - 10T^7 + 4T^8
Embedding: 1.540968
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