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σ₀ = (1,6,4,2,7), σ₁ = (1,2,3,4)(5,6), σ∞ = (7,1)(3,2)(5,6,4)
Base field: 1 - T + 2T^2 - 38T^3
Embedding: -1.255885 - 3.040314√(-1)
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