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σ₀ = (1,7,3,2,4), σ₁ = (1,8,7,6)(2,4,5), σ∞ = (2,3,8,1)(5,4)(7,6)
Base field: 1 - 6T^2 - 4T^3 + 8T^4 + 4T^5 - 14T^6 + 4T^7
Embedding: 0.793480 + 0.587245√(-1)
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