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σ₀ = (1,2,4,5,3)(6,8,7), σ₁ = (1,6,7,8)(2,3)(4,5), σ∞ = (2,8,1)(4,3)
Base field: 1 - T - 6T^2 + 30T^3 - 45T^4 + 45T^5
Embedding: -3.768509
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