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σ₀ = (1,4,3,2,8,6,7), σ₁ = (1,2,3,4)(5,6)(7,8), σ∞ = (8,1)(6,7,5)
Base field: 1 - 2T - 12T^2 + 50T^3 - 22T^4 - 84T^5 + 64T^6 + 100T^7 - 144T^8 + 48T^9
Embedding: 0.639557
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