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σ₀ = (1,2,3,4,5,6,7,8), σ₁ = (2,8)(3,7,4,5,6), σ∞ = (2,1)(8,3)(6,4)(7,5)
Base field: 1 - T + 2T^2 + 2T^3
Embedding: -0.650629
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