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σ₀ = (1,2,3,4,5,6), σ₁ = (1,7,2,8,9)(3,6,5,4), σ∞ = (3,7,1)(9,8,2)
Base field: 1 - 2T - 21T^2 - 68T^3 + 76T^4
Embedding: 6.534149
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