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σ₀ = (1,2,7,4)(3,5), σ₁ = (1,5)(2,4,6,8), σ∞ = (2,5,3,1)(7,8,6,4)
Base field: 1 - 2T + T^2 - 2T^3 + T^4
Embedding: 1.883204
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