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σ₀ = (1,8,3,6,5,7,2,9), σ₁ = (1,8)(2,9)(3,7)(4,6,5), 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: 3.675050
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