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σ₀ = (1,3,5,6,7,8,2), σ₁ = (1,4)(3,8,7,6,5), σ∞ = (2,3,4,1)
Base field: 1 - T - 3T^2 + 8T^4
Embedding: -1.248934 + 0.911224√(-1)
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