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σ₀ = (1,6,5,3,9), σ₁ = (1,4,5,8,7)(2,9,3), σ∞ = (2,3,4,1)(6,7,8,5)
Base field: 1 - 2T + 4T^2 + 12T^3 - 21T^4 + 42T^5
Embedding: -2.227665
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