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σ₀ = (1,7,6,8,2), σ₁ = (1,4,3,8)(5,7,6), σ∞ = (2,3,4,1)(6,5)(8,7)
Base field: 1 - 6T^2 - 4T^3 + 8T^4 + 4T^5 - 14T^6 + 4T^7
Embedding: 2.527207
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