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σ₀ = (1,2,3,4,5), σ₁ = (1,2,6,7,8)(3,4,5), σ∞ = (4,5,3,1)(8,7,6,2)
Base field: 1 - 4T - 2T^2 + 16T^3 - 13T^4 - 32T^5 + 220T^6 - 100T^7 - 206T^8
Embedding: -0.753137
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