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σ₀ = (1,2,8,6,3,5,9)(4,7), σ₁ = (1,2)(3,4)(5,6), σ∞ = (9,6,8,1)(5,4,7,3)
Base field: 1 - T - 3T^2 + 3T^3 + 6T^4 - 18T^5
Embedding: 2.061304
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