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σ₀ = (1,4,5,6,8)(2,3,7), σ₁ = (1,7,3,6,5), σ∞ = (8,3,2,1)(5,4)
Base field: 1 - 2T - 9T^2 + 38T^3 - 46T^4 - 42T^5 + 181T^6 - 242T^7 + 111T^8
Embedding: 0.661314 + 1.347986√(-1)
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