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σ₀ = (1,2,6,4,7,3,5), σ₁ = (1,6,5)(2,3,7), σ∞ = (6,7,4,1)(5,2)
Base field: 1 + 6T^2 + 16T^4
Embedding: -0.707107 + 1.870829√(-1)
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