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σ₀ = (1,2,3,4)(5,6), σ₁ = (1,2,4,6)(3,5,7), σ∞ = (2,6,3,1)(7,5,4)
Base field: 1 + 8T^2 - 12T^3 + 21T^4 - 48T^5 + 42T^6 - 72T^7 - 27T^8
Embedding: -0.695926 + 1.821219√(-1)
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