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σ₀ = (1,2,3,4)(5,6), σ₁ = (1,8)(2,7,4,5), σ∞ = (7,2,8,1)(5,6,4,3)
Base field: 1 - 2T + T^2 - 4T^3 + 5T^4 - 6T^5 + 3T^6
Embedding: 0.679194
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