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σ₀ = (1,8,5,6)(2,7,4), σ₁ = (1,3,4,8)(2,6)(5,7), σ∞ = (2,3,1)(5,4)(7,6)
Base field: 1 - 2T^2 - 3T^4 - 4T^5 + 2T^6
Embedding: -1.330338 + 0.246425√(-1)
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