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σ₀ = (1,5,7,9,8,6,3), σ₁ = (1,2,3,4)(5,6)(7,8), σ∞ = (2,1)(5,4,3)(7,6)(9,8)
Base field: 1 - T - 9T^2 + 40T^3 - 106T^4 + 162T^5 - 150T^6
Embedding: 2.435460
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