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σ₀ = (1,6,4,2,5,7)(3,8), σ₁ = (1,5,3)(2,4,6), σ∞ = (7,1)(8,5,6,3)
Base field: 1 - 2T - T^2 - 4T^3 - 2T^4
Embedding: 2.901604
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