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σ₀ = (1,7,9,5,8), σ₁ = (1,4,3,2,8)(6,9,7), σ∞ = (2,3,4,1)(6,7,8,5)
Base field: 1 - 2T + 4T^2 + 12T^3 - 21T^4 + 42T^5
Embedding: 1.314618 + 2.102571√(-1)
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