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σ₀ = (1,4,5,3,6,7,2,8), σ₁ = (1,5)(2,8)(3,7), σ∞ = (2,3,1)(5,4)(7,6)
Base field: 1 - 2T - T^2 + 6T^3 - 2T^4 - 4T^5 - T^6
Embedding: 1.509025
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