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σ₀ = (1,6,3,4,5,2,7), σ₁ = (1,6,2,7)(3,5), σ∞ = (2,3,1)(5,4)(7,6)
Base field: 1 - 2T + 8T^2 - 8T^3 + 8T^4 - 14T^5 - 5T^6
Embedding: 1.469760
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