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σ₀ = (1,7,4,5,8)(2,6), σ₁ = (1,2,3,4)(5,6), σ∞ = (8,6,1)(5,3,2)(7,4)
Base field: 1 - 5T + 3T^2 + 13T^3 - 44T^4 + 128T^5 - 60T^6 - 116T^7 + 44T^8 + 108T^9 - 500T^10 + 180T^11
Embedding: -1.085975 + 0.657995√(-1)
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