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σ₀ = (1,2,3,4)(5,6), σ₁ = (1,8,6)(2,3)(4,5,7), σ∞ = (7,5,8,1)(6,4,2)
Base field: 1 - T - 18T^2 + 90T^4 - 114T^5 - 390T^6 + 678T^7 - 405T^8 - 1035T^9 + 1080T^10 + 270T^11
Embedding: -0.211935
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