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σ₀ = (1,8,6,5,7)(2,4,3), σ₁ = (1,4,6,8)(2,7,5), σ∞ = (2,3,1)(5,4)
Base field: 1 - 2T + 2T^2 - 84T^3 + 96T^4 - 160T^5 + 1776T^6 + 384T^7 + 1192T^8 + 5872T^9 - 12464T^10 + 4960T^11
Embedding: 0.246865 + 1.770995√(-1)
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