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σ₀ = (1,8,9,4,5,7,6), σ₁ = (1,2,6,4,3,9,8)(5,7), σ∞ = (2,1)(4,3)(6,5)
Base field: 1 - T - 8T^2 - 20T^3 + 2T^4 - 2T^5
Embedding: 4.109341
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