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σ₀ = (1,5,3,7,2,6), σ₁ = (1,2,3)(4,5,6), σ∞ = (5,3,4,6,1)(7,2)
Base field: 1 - 2T + 10T^4 - 22T^5 - 11T^6 + 10T^7 + 105T^8 - 70T^9 - 35T^10
Embedding: 1.619822
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