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