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σ₀ = (1,2,3,4,5,9,8)(6,7), σ₁ = (2,8,6,4)(5,7,9), σ∞ = (2,1)(4,3)(6,5)(8,7)
Base field: 1 - T + 16T^3 - 4T^4
Embedding: 0.250738
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