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σ₀ = (1,2,8,6,4,7,5), σ₁ = (1,2)(3,4)(5,6), σ∞ = (6,8,1)(4,5,7,3)
Base field: 1 - 4T + 7T^2 - 4T^3 - 17T^4 + 56T^5 - 23T^6 - 4T^7 - 32T^8 + 36T^9
Embedding: -0.554388 - 0.703699√(-1)
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