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σ₀ = (1,3,7,5,6,8,2), σ₁ = (1,4)(3,8)(6,7), σ∞ = (2,3,4,1)(6,5)(8,7)
Base field: 1 - T - 2T^2 - 6T^3
Embedding: -0.814461 + 1.272383√(-1)
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