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σ₀ = (1,7,2,3,5), σ₁ = (1,9,8,7)(2,5,6,3,4), σ∞ = (2,8,9,1)(4,3)(6,5)
Base field: 1 - 3T^2 - 2T^3 + 3T^4 + 12T^5 + 3T^6 + 6T^7
Embedding: -1.767113
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