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σ₀ = (1,3,2,5)(4,6,7), σ₁ = (1,8,6,4)(2,7,5), σ∞ = (7,8,1)(3,4,2)
Base field: 1 - T - 8T^2 + 4T^3 + 14T^4 - 14T^5
Embedding: -1.939468 - 0.467914√(-1)
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