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