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σ₀ = (1,3,4,5,6,8,7,2), σ₁ = (1,9,2)(3,7,5)(6,8), σ∞ = (9,1)(3,2)(5,4)(7,6)
Base field: 1 - 8T^3 + 9T^4 + 18T^6
Embedding: 1.622653 + 0.677647√(-1)
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