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σ₀ = (1,7,4,5,6,2,3), σ₁ = (1,2,3,4)(5,6), σ∞ = (2,5,3,1)(7,4)
Base field: 1 - 8T^2 + 24T^4 - 4T^6 - 12T^8
Embedding: 0.760483√(-1)
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