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σ₀ = (1,7,3,4,8,2,5,6), σ₁ = (1,3,8,4,7)(2,6,5), σ∞ = (2,3,4,1)
Base field: 1 - 2T - 8T^2 + 26T^3 + 23T^4 - 118T^5 - 108T^6 + 306T^7 + 189T^8 - 162T^9 - 486T^10 + 486T^11
Embedding: 2.305154
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