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σ₀ = (1,6,4,3,8,7)(2,5), σ₁ = (1,2)(3,4)(5,6), σ∞ = (7,8,4,5,1)(6,2)
Base field: 1 - 2T + 2T^2 - 10T^3 + 10T^4 - 4T^5 + 28T^6 + 12T^7
Embedding: 2.065090 + 0.465576√(-1)
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