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σ₀ = (1,4,8,5,6)(2,7,3), σ₁ = (2,6,8,4,7), σ∞ = (2,3,4,1)(6,5)
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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