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σ₀ = (1,5,6,4,7), σ₁ = (1,2,3,4)(5,6), σ∞ = (7,3,2,1)(5,4)
Base field: 1 + 8T^2 + 18T^4 - 4T^6 - 35T^8
Embedding: 1.083765
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