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σ₀ = (1,2,3,4)(5,6)(7,8), σ₁ = (1,2,8)(3,4)(5,6,7), σ∞ = (3,1)(8,6,7,2)
Base field: 1 - 2T + 6T^2 - 6T^4
Embedding: -0.844959
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