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σ₀ = (1,2,5,6,7), σ₁ = (1,4,3)(2,7,6), σ∞ = (2,3,4,1)(6,5)
Base field: 1 - T + 2T^2 + 2T^3 - 20T^4 - 20T^5
Embedding: -1.194505 + 0.192671√(-1)
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