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σ₀ = (1,6,4,3,5)(7,8), σ₁ = (1,7,8,4,6)(2,5,3), σ∞ = (2,3,8,1)
Base field: 1 - T - 3T^2 + 6T^3 + 6T^4
Embedding: -1.665527
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