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σ₀ = (1,6,2,7,3,5)(4,8), σ₁ = (1,7,3,6,8,4)(2,5), σ∞ = (2,3,1)(6,4)(7,5)
Base field: 1 - 2T - 2T^3 + T^4
Embedding: 2.296630
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