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σ₀ = (1,4,2,6,3,5)(7,8), σ₁ = (1,3,6,7,5,8)(2,4), σ∞ = (7,5,1)(8,6,4)
Base field: 1 - T + 2T^3 + T^4
Embedding: 1.121964 + 1.053756√(-1)
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