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σ₀ = (1,2,3,4,5,6), σ₁ = (1,4,5,2,7)(3,6), σ∞ = (3,5,1)(7,2)(6,4)
Base field: 1 - 9T^2 - 22T^3 - 27T^4 + 18T^5 + 13T^6
Embedding: -2.344197
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