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σ₀ = (1,8,2,6,4,3,7), σ₁ = (1,2)(3,4)(5,6), σ∞ = (7,4,5,6,1)(8,2)
Base field: 1 - 2T + 3T^2 - 9T^3 - 10T^4 - 69T^5 + 168T^6 + 8T^7 - 64T^8 - 80T^9
Embedding: -0.469926 + 0.480141√(-1)
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