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σ₀ = (1,3,4,2,7,6), σ₁ = (1,2,8)(3,4,5), σ∞ = (6,7,1)(3,8,2)(5,4)
Base field: 1 - 3T^2 - 6T^3 - 6T^4
Embedding: 2.516343
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