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σ₀ = (1,2,3,4,5,6), σ₁ = (1,4,5,6,2,7), σ∞ = (5,1)(7,2)(6,4,3)
Base field: 1 + 12T^2 + 162T^4 + 312T^6 + 117T^8 + 36T^10
Embedding: -1.858918 + 2.893039√(-1)
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