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σ₀ = (1,7,4,6,3,9,2,8), σ₁ = (1,2,3,4)(5,6), σ∞ = (8,1)(9,2)(5,6,3)(7,4)
Base field: 1 + 12T^2 - 24T^3 + 102T^4 - 288T^5 + 876T^6 - 1536T^7 + 2958T^8 - 3680T^9 + 2808T^10 + 864T^11 - 486T^12
Embedding: -0.411898
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