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σ₀ = (1,2,5,3,4,7,6), σ₁ = (1,5,3)(2,6)(4,7), σ∞ = (2,3,1)(5,6,4)
Base field: 1 - 3T^2 - 12T^3
Embedding: -1.360946 + 1.598913√(-1)
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