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σ₀ = (1,2,3,4,5,6)(7,8), σ₁ = (1,6,5,7,8)(2,4), σ∞ = (8,5,2)(4,3)
Base field: 1 - 2T + 19T^2 + 126T^4 + 156T^5 + 480T^6 + 2040T^7 + 3450T^8 + 5100T^9 + 5790T^10 + 4080T^11 + 1900T^12 - 200T^13 - 200T^14
Embedding: 0.268080
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