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σ₀ = (1,2,5,3)(4,6)(7,8), σ₁ = (1,7,3)(2,6,4,5), σ∞ = (7,8,1)(3,4,2)
Base field: 1 - T - 3T^2 - T^3 - 11T^4 + 3T^5 - 11T^6 - T^7
Embedding: -2.030345
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