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σ₀ = (1,7,8,3,4,6,5), σ₁ = (1,8,7)(2,5,3)(4,6), σ∞ = (2,3,1)(5,4)
Base field: 1 - 2T - 2T^2 - 20T^3 + 46T^4 + 82T^5 - 20T^6 - 200T^7 - 200T^8 + 300T^9
Embedding: 0.942541
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