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