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σ₀ = (1,8,3,5,6,9,7,4), σ₁ = (1,8)(2,4,3)(5,7)(6,9), σ∞ = (2,3,1)(5,4)(7,6)
Base field: 1 - 4T - 2T^2 - 56T^3 + 179T^4 + 244T^5 + 298T^6 - 844T^7 - 368T^8 + 612T^9 - 1032T^10 + 441T^12
Embedding: -0.577942
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