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σ₀ = (1,7,5,4,6,2,3), σ₁ = (1,7)(2,3,6,4), σ∞ = (2,3,4,5,1)
Base field: 1 - 4T + 14T^2 - 24T^3 + 103T^4 - 152T^5 + 298T^6 + 232T^7 + 568T^8 + 864T^9 + 1640T^10 - 160T^11 + 400T^12
Embedding: 0.109944 + 0.471595√(-1)
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