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σ₀ = (1,4,3,6,8)(5,7), σ₁ = (1,4,7,5)(2,8,6,3), σ∞ = (2,3,1)(5,4)
Base field: 1 - 120T^3 - 150T^4 + 2000T^6
Embedding: 5.122352
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