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σ₀ = (1,2,5,3)(4,6,7), σ₁ = (1,8)(2,3,7,6)(4,5), σ∞ = (2,8,1)(4,3)(6,5)
Base field: 1 - 2T^2 - 3T^4 - 4T^5 + 2T^6
Embedding: 1.834001
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