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σ₀ = (1,2,7,4)(3,5), σ₁ = (1,3,4,6)(5,8), σ∞ = (3,8,5,1)(6,4,7,2)
Base field: 1 - 2T + T^2 - 2T^3 + T^4
Embedding: 0.531010
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