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σ₀ = (1,2,3,4,5,6), σ₁ = (1,2,4,5)(3,6,7), σ∞ = (3,1)(5,2)(7,6,4)
Base field: 1 - 3T - 9T^2 - 4T^3 - 24T^4 + 180T^5 + 44T^6
Embedding: -2.907202
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