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σ₀ = (1,7,3,2,5,6,4), σ₁ = (1,3,4)(2,8,7), σ∞ = (3,8,2,1)(6,5,7,4)
Base field: 1 - T + 3T^2 - 4T^3 + 2T^4
Embedding: 0.723221 + 0.386865√(-1)
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