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σ₀ = (1,2,3,4,5,6,7,8), σ₁ = (1,4)(2,3,9)(5,8,7,6), σ∞ = (5,1)(4,2)(9,3)
Base field: 1 - 4T + 8T^2 - 16T^3 + 62T^4 - 172T^5 + 304T^6 - 384T^7 + 420T^8 - 344T^9 + 128T^10 + 56T^11 - 14T^12
Embedding: -0.326601
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