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σ₀ = (1,2,7,4)(3,5), σ₁ = (1,2,6,5)(7,8), σ∞ = (4,8,7,1)(5,3,6,2)
Base field: 1 - 2T + T^2 - 2T^3 + T^4
Embedding: -0.207107 + 0.978318√(-1)
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