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σ₀ = (1,5,6,4,8,7), σ₁ = (1,2,3,4)(5,6)(7,8), σ∞ = (8,3,2,1)(5,4)
Base field: 1 - 3T - 6T^2 + 10T^3 + 69T^4 - 135T^5 - 88T^6 + 312T^7 - 108T^8 - 76T^9
Embedding: -0.345673
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