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σ₀ = (1,2,3,4,5)(6,7,8), σ₁ = (1,7,6,8)(2,5,4), σ∞ = (2,8,1)(4,3)
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: -1.977187 - 3.083902√(-1)
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