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σ₀ = (1,4,6,3,8)(2,5,7), σ₁ = (1,7,5)(2,6,4), σ∞ = (8,3,2,1)(5,4)
Base field: 1 - 10T^2 - 20T^3 + 60T^4 + 200T^5 + 370T^6 + 300T^7 - 325T^8
Embedding: 3.281346 - 1.239440√(-1)
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