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σ₀ = (1,4,7,8,5,6)(2,3), σ₁ = (2,6,5)(3,8,7), σ∞ = (2,7,4,1)(5,3)
Base field: 1 - 2T - T^2 - 4T^3 - 2T^4
Embedding: -0.487390
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