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σ₀ = (1,6,7,2,8,3,5), σ₁ = (1,4,6)(2,5,8), σ∞ = (2,7,4,1)(5,3)
Base field: 1 + 6T^2 + 16T^4
Embedding: 0.707107 - 1.870829√(-1)
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