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σ₀ = (1,8,9,2,6)(3,4)(5,7), σ₁ = (1,4,9,8)(2,6,7,5), σ∞ = (2,4,3,1)(6,5)
Base field: 1 - 2T + 5T^2 - 16T^3 + 26T^4 - 72T^5 - 72T^6 - 192T^7 - 42T^8
Embedding: -0.234011
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