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σ₀ = (1,2,3,5,6,8,9)(4,7), σ₁ = (2,9,8,4)(3,7,6), σ∞ = (2,1)(4,3)(6,5)(8,7)
Base field: 1 - T + 16T^3 - 4T^4
Embedding: 1.531245 + 2.133462√(-1)
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