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σ₀ = (1,3,4,5,6,8)(2,7), σ₁ = (2,8,6)(3,7,5), σ∞ = (2,3,1)(5,4)(7,6)
Base field: 1 + 3T^2 - 4T^3 + 3T^4 - T^6
Embedding: -0.655724 + 1.867508√(-1)
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