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σ₀ = (1,5,4,3,6,2,7), σ₁ = (1,2,3,4)(5,6), σ∞ = (7,1)(5,4,6,2)
Base field: 1 + 5T^2 + 6T^4 + 5T^6 - 86T^8 - 3T^10 - 3T^12
Embedding: -1.409118
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