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σ₀ = (1,5,2,8,6,3,7), σ₁ = (1,2,3,4)(5,6)(7,8), σ∞ = (8,1)(6,7,2)(5,4,3)
Base field: 1 - 8T^2 - 4T^3 + 12T^4 + 96T^5 - 164T^6 + 12T^7 + 55T^8 + 8T^9
Embedding: 1.613035 + 0.365411√(-1)
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