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σ₀ = (1,8,2,5,6,7), σ₁ = (1,3,8)(2,7,6,5,4), σ∞ = (2,3,1)(5,4)
Base field: 1 - 2T - 20T^2 + 104T^3 - 496T^4 + 1364T^5 - 328T^6 - 1792T^7 - 1828T^8
Embedding: 0.166597 + 3.612475√(-1)
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