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σ₀ = (1,8,3,4,2,6,7), σ₁ = (1,2)(3,4)(5,6), σ∞ = (7,5,6,1)(3,8,2)
Base field: 1 - 4T + 7T^2 - 4T^3 - 17T^4 + 56T^5 - 23T^6 - 4T^7 - 32T^8 + 36T^9
Embedding: 0.426613 - 2.193783√(-1)
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