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σ₀ = (1,7,8,3,4), σ₁ = (1,2,8,4)(3,7,6,5), σ∞ = (8,3,2,1)(5,6,7,4)
Base field: 1 - T + 2T^2 + 2T^3
Embedding: 0.825315 + 1.546869√(-1)
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