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σ₀ = (1,5,7,6,3,8), σ₁ = (1,2,3,4)(5,6), σ∞ = (8,2,1)(5,4,3)(7,6)
Base field: 1 - T - 4T^2 + 16T^3 - 17T^4 - 27T^5 + 30T^6 + 30T^7 - 60T^8 - 60T^9
Embedding: -2.774385
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