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σ₀ = (1,4,6,3,8)(2,7), σ₁ = (1,2,3)(4,5,6), σ∞ = (8,2,7,1)(5,4,3)
Base field: 1 - 4T + 4T^2 + 66T^3 - 201T^4 + 234T^5 + 1077T^6 - 4302T^7 + 3987T^8 + 7308T^9 - 23436T^10 + 22680T^11 - 13230T^12
Embedding: -2.579692
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