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σ₀ = (1,5,6,3,4,7,2,8), σ₁ = (1,6,4)(2,8)(3,7,5), σ∞ = (2,3,1)(5,4)(7,6)
Base field: 1 - 4T + 10T^2 - 4T^3 + 28T^4 + 32T^5 + 32T^6 + 64T^7 + 68T^8 + 16T^9 + 56T^10 + 16T^11
Embedding: -0.287400
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