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σ₀ = (1,3,4,5,2)(6,7,8), σ₁ = (1,7,2)(3,5,4)(6,8), σ∞ = (7,8,1)(3,2)
Base field: 1 - T - 8T^2 + 18T^4 + 30T^5
Embedding: -2.209971
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