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σ₀ = (1,6,3,8,2,7), σ₁ = (1,2,3)(4,5,6), σ∞ = (7,1)(8,2)(5,4,6,3)
Base field: 1 - T - 5T^2 + 7T^3 - 7T^4 + 7T^5
Embedding: -2.572473
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