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σ₀ = (1,2,6,7,8)(3,4), σ₁ = (1,4,5,3)(2,8,7,6), σ∞ = (2,3,1)(5,4)
Base field: 1 - 120T^3 - 150T^4 + 2000T^6
Embedding: 2.251624
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