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σ₀ = (1,7,4,5,6)(2,3), σ₁ = (1,2,6,5,7), σ∞ = (2,3,1)(5,4)
Base field: 1 - T - 6T^2 + 2T^3 + 16T^4 - 8T^6 - 10T^7
Embedding: 1.322555
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