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σ₀ = (1,4,2,8)(3,5,6), σ₁ = (1,6,7,5)(2,8)(3,4), σ∞ = (2,3,1)(5,4)(7,6)
Base field: 1 - 2T^2 - 3T^4 - 4T^5 + 2T^6
Embedding: 0.222731 - 1.230092√(-1)
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