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σ₀ = (1,5,6,2)(3,4)(7,9,8), σ₁ = (1,4,6)(5,9,7), σ∞ = (2,4,3,1)(6,7,8,5)
Base field: 1 - 9T^4 - 12T^5 - 8T^6 - 24T^7 + 12T^8
Embedding: 0.403171
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