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σ₀ = (1,8,3,5,4)(6,7), σ₁ = (1,8)(2,4,7,6,3), σ∞ = (2,3,1)(5,6,4)
Base field: 1 - 2T + 2T^2 - 10T^3 + 10T^4 - 4T^5 + 28T^6 + 12T^7
Embedding: -0.380057
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