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σ₀ = (1,2,4,5)(3,8,7,6), σ₁ = (3,7,8)(4,5,6), σ∞ = (4,2,1)(5,6,3)
Base field: 1 + 2T^2 - 12T^3 - 14T^4
Embedding: 2.363199
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