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σ₀ = (1,2,6,8,7)(3,4), σ₁ = (1,4,5,3)(2,7)(6,8), σ∞ = (2,3,1)(5,4)(7,6)
Base field: 1 - 2T - 21T^2 + 4T^3 + 184T^4 + 12T^5 - 632T^6 + 196T^7 + 921T^8 - 534T^9 - 513T^10 - 216T^11
Embedding: 1.658353
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