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σ₀ = (1,2,3,4,5), σ₁ = (1,7,8)(2,3)(4,5,6), σ∞ = (4,2,8,7,1)(6,5)
Base field: 1 - T + 5T^2 + 5T^3 - 2T^4 - 2T^5
Embedding: 0.853073 - 2.420604√(-1)
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