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σ₀ = (1,4,7,8,5,6,3), σ₁ = (1,2,3,4)(5,6)(7,8), σ∞ = (2,1)(5,7,3)
Base field: 1 - 2T - 12T^2 + 50T^3 - 22T^4 - 84T^5 + 64T^6 + 100T^7 - 144T^8 + 48T^9
Embedding: -1.178180 - 0.592988√(-1)
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