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σ₀ = (1,2,3,4,5)(6,7,8), σ₁ = (1,5,4,3,9)(2,6,8), σ∞ = (9,3,8,7,2)
Base field: 1 - 2T - 8T^2 + 24T^3 + 30T^4 - 96T^5 - 48T^6 + 48T^7 - 24T^8
Embedding: 2.345064
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