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σ₀ = (1,3,8,4,6,5,2,7), σ₁ = (1,2,3,4,5), σ∞ = (7,1)(4,8,2)(5,6,3)
Base field: 1 - 4T + 12T^2 - 40T^3 + 62T^4 - 176T^5 + 224T^6 - 352T^7 + 496T^8 - 512T^9 + 384T^10 - 512T^11 + 192T^12
Embedding: 3.362312
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