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σ₀ = (1,4,5,3,8,7), σ₁ = (1,2,3)(4,5,6), σ∞ = (7,8,2,1)(4,3)(6,5)
Base field: 1 - T - 5T^2 + 7T^3 - 7T^4 + 7T^5
Embedding: 2.185983
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