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σ₀ = (1,3,6,4,5)(2,7), σ₁ = (1,2,3,4)(5,6), σ∞ = (6,2,7,1)(4,5,3)
Base field: 1 - 3T + 2T^2 - 74T^3 - 134T^4 - 274T^5 - 422T^6 - 734T^7 - 5497T^8 - 14517T^9 - 13016T^10 - 3744T^11
Embedding: 5.845376
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