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σ₀ = (1,2,5,4,3)(6,8), σ₁ = (1,6,7,8)(2,3), σ∞ = (2,8,1)(4,5,3)(7,6)
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: 1.754004
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