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σ₀ = (1,2,3,4,5,6,7,8), σ₁ = (1,2)(3,8,7,6,9,5,4), σ∞ = (3,1)(9,6)
Base field: 1 - 2T + 16T^2 - 8T^3 + 37T^4 - 14T^5
Embedding: 0.386680
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