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σ₀ = (1,8,7,6,9)(2,5)(3,4), σ₁ = (1,2,3)(4,5,6)(7,8), σ∞ = (9,5,1)(4,2)(6,8,3)
Base field: 1 + 12T^2 - 14T^3 + 84T^4 - 648T^5 + 1204T^6 - 3162T^7 + 4875T^8
Embedding: 2.195334
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