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σ₀ = (1,7,8,4,2)(3,5,6), σ₁ = (1,2,3,4)(5,6)(7,8), σ∞ = (3,5,2)(7,4)
Base field: 1 - T - 6T^2 + 30T^3 - 45T^4 + 45T^5
Embedding: 0.697880 - 1.424190√(-1)
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