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σ₀ = (1,7,8,9,2,3,6), σ₁ = (1,9,8,7)(2,6,5,3,4), σ∞ = (2,1)(4,3)(6,5)
Base field: 1 - 2T + 2T^2 + 10T^3 - 15T^4 - 138T^5 - 204T^6 + 954T^7
Embedding: -2.475695
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