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σ₀ = (1,2,3,4,5,6,7), σ₁ = (1,9,7,5,3,2,8), σ∞ = (9,1)(8,2)(5,4)(7,6)
Base field: 1 - 2T + 2T^2 + 2T^4
Embedding: 1.306826 + 1.100375√(-1)
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