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σ₀ = (1,4,6,5)(2,7,8), σ₁ = (1,7,2,5)(3,6,4), σ∞ = (2,8,1)(4,5,3)
Base field: 1 - T - 8T^2 + 4T^3 + 14T^4 - 14T^5
Embedding: 2.905304
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