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σ₀ = (1,2,3,4,5,6), σ₁ = (1,2,5,3,6,7), σ∞ = (3,1)(7,6,2)(5,4)
Base field: 1 + 12T^2 + 162T^4 + 312T^6 + 117T^8 + 36T^10
Embedding: 0.308725 + 0.532275√(-1)
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