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