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σ₀ = (1,3,8,6,4,5,7), σ₁ = (1,2,3,4)(5,6)(7,8), σ∞ = (8,2,1)(4,5,3)(7,6)
Base field: 1 - 8T^2 - 4T^3 + 12T^4 + 96T^5 - 164T^6 + 12T^7 + 55T^8 + 8T^9
Embedding: -0.166622
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