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σ₀ = (1,4,3,5,7,8,6), σ₁ = (2,6,3)(5,8,7), σ∞ = (2,3,4,1)(6,5)
Base field: 1 - 2T - 9T^2 - 4T^3 + 4T^4 + 28T^6
Embedding: 1.274835
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