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σ₀ = (1,3,4,8,7,2), σ₁ = (3,7,6,8,4,5), σ∞ = (2,3,1)(5,4)(7,6)
Base field: 1 - 4T + 18T^2 - 36T^3 + 78T^4 + 24T^6 + 30T^7 + 3T^8 + 2T^9 - 2T^10
Embedding: -0.610857
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