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σ₀ = (1,7,2,3,5)(4,6), σ₁ = (1,8,7)(2,5,4)(3,6), σ∞ = (2,8,1)(4,3)(6,5)
Base field: 1 - 3T + 3T^2 + T^3 - 12T^4 + 24T^5 - 12T^6 - 12T^7
Embedding: 1.784549
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