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σ₀ = (1,6,5,3,7), σ₁ = (1,2,3)(4,5), σ∞ = (7,2,1)(4,5,6,3)
Base field: 1 - T + 36T^3 - 72T^4 + 24T^5
Embedding: 1.317195 + 2.970343√(-1)
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