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σ₀ = (1,2,3,4,5,6), σ₁ = (1,3)(2,4,6,7,5), σ∞ = (4,1)(3,5,2)(7,6)
Base field: 1 - 9T^2 - 22T^3 - 27T^4 + 18T^5 + 13T^6
Embedding: -0.949597 - 1.727087√(-1)
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