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σ₀ = (1,2,3)(4,5)(6,7), σ₁ = (1,7)(3,4,8)(5,6), σ∞ = (8,4,6,1)(7,5,3,2)
Base field: 1 - 2T - T^2 + 6T^3 - 2T^4 - 4T^5 - T^6
Embedding: 1.348188 + 1.066881√(-1)
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