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σ₀ = (1,7,8,6,3)(2,4,9,5), σ₁ = (1,6)(2,3,5)(4,9)(7,8), σ∞ = (2,3,1)(5,4)(7,6)
Base field: 1 - 3T + 4T^3 - 6T^4 + 16T^6
Embedding: 1.694328
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