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σ₀ = (1,2,6,5,7)(3,8), σ₁ = (1,8,3)(2,7)(4,6,5), σ∞ = (2,3,1)(5,4)(7,6)
Base field: 1 - 3T + 3T^2 + T^3 - 12T^4 + 24T^5 - 12T^6 - 12T^7
Embedding: -1.664336
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