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σ₀ = (1,5,6,4,2,7,3), σ₁ = (1,2,3,4)(5,6), σ∞ = (2,3,7,1)(5,4)
Base field: 1 - 8T^2 + 24T^4 - 4T^6 - 12T^8
Embedding: -0.978712
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