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σ₀ = (1,4,2,8,7,6,5,9), σ₁ = (1,2,3,4)(5,6,7,8), σ∞ = (9,8,1)(3,2)
Base field: 1 - T - 8T^2 + 12T^3 - 12T^4 + 60T^5 + 96T^6 - 528T^7 + 372T^8 - 212T^9 + 1184T^10 - 848T^11
Embedding: -0.342658 + 2.206328√(-1)
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