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σ₀ = (1,6,4,5,3,8,2,7), σ₁ = (1,2,3)(4,5,6), σ∞ = (7,1)(8,2)(4,5,6,3)
Base field: 1 - 2T^2 + 6T^4 - 24T^5
Embedding: 1.930369
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