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σ₀ = (1,2,3,4)(5,6)(7,8), σ₁ = (1,2,9)(3,5)(4,7)(6,8), σ∞ = (7,6,3,1)(9,2)(5,8,4)
Base field: 1 - 3T - 3T^2 - 17T^3 + 108T^4 - 114T^5 - 50T^6 + 30T^7
Embedding: 0.380834
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