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σ₀ = (1,5,4,6,2)(3,7), σ₁ = (1,5)(3,6,4,7), σ∞ = (2,3,4,1)
Base field: 1 - 2T - 2T^2 - 2T^4
Embedding: 0.165099 + 0.775645√(-1)
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