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σ₀ = (1,3,4,2,5)(6,7), σ₁ = (1,2,6,7)(3,4), σ∞ = (5,1)(3,7,2)
Base field: 1 - 3T - 15T^2 + 85T^3 - 135T^4 - 87T^5 + 251T^6 + 1215T^7 - 2670T^8 + 1070T^9
Embedding: -4.831231
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