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σ₀ = (1,2,3,4,5), σ₁ = (1,3,4)(2,6,5,7,8), σ∞ = (6,2,4,1)(8,7,5,3)
Base field: 1 - 4T - 2T^2 + 16T^3 - 13T^4 - 32T^5 + 220T^6 - 100T^7 - 206T^8
Embedding: 1.429702
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