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σ₀ = (1,7,4,5,6), σ₁ = (1,3,7)(2,6,4), σ∞ = (2,4,3,1)(6,5)
Base field: 1 - T + 2T^2 + 2T^3 - 20T^4 - 20T^5
Embedding: 2.250565
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