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σ₀ = (1,2,3,4,5)(6,7,8), σ₁ = (1,8,7,2,9)(3,6,5,4), σ∞ = (6,1)(9,2)(7,3)
Base field: 1 - 3T^4 - 12T^5 - 2T^6 + 12T^7
Embedding: -1.160949
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