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σ₀ = (1,2,3,4,5), σ₁ = (1,3,8)(2,6,7)(4,5), σ∞ = (4,1)(8,3,7,6,2)
Base field: 1 - T + 5T^2 + 5T^3 - 2T^4 - 2T^5
Embedding: 0.638223
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