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σ₀ = (1,3,4,5,8,2,6,7), σ₁ = (2,7)(3,8,5), σ∞ = (2,3,1)(5,4)(7,6)
Base field: 1 - 4T + 10T^2 - 8T^3 - 11T^4 + 60T^5 - 54T^6 - 4T^7 + 104T^8 - 36T^9 + 12T^10 + 45T^12
Embedding: 0.998066 + 1.190462√(-1)
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