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σ₀ = (1,3,7,2,4,6,5), σ₁ = (2,5)(3,7)(4,6), σ∞ = (2,3,1)(5,4)
Base field: 1 - T + 5T^2 + T^3
Embedding: 0.595641 + 2.207506√(-1)
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