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σ₀ = (1,2,3,4)(5,6)(7,8), σ₁ = (1,3,7,8)(4,5), σ∞ = (5,6,4,1)(8,3,2)
Base field: 1 - 2T - 7T^2 + 18T^3 + 9T^4 - 36T^5 + 16T^6 + 32T^7 - 9T^8 + 2T^9 - 15T^10 + 10T^11 - T^12
Embedding: 0.122112
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