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σ₀ = (1,2,3,4,5,6,7,8), σ₁ = (1,4,3,2)(5,8,7,9,6), σ∞ = (5,1)(9,7)
Base field: 1 - T + 14T^2 + 10T^3 + 5T^4 + 35T^5
Embedding: -1.399599
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