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σ₀ = (1,5,2,3,8,7,6,4), σ₁ = (1,2,3,4), σ∞ = (3,1)(5,4,6,7,8,2)
Base field: 1 - T - T^2 + 7T^3 - 11T^4 + 15T^5 - 9T^6 + 3T^7
Embedding: -2.312215
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