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σ₀ = (1,6,4,5,2,7), σ₁ = (1,2,3,4,8), σ∞ = (7,1)(5,3,2)(6,8,4)
Base field: 1 - T - 2T^2 + 22T^3 - 49T^4 + 49T^5
Embedding: -3.325076
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