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σ₀ = (1,8,5,6,7)(2,4,3), σ₁ = (1,4,8)(2,7,5), σ∞ = (2,3,1)(5,4)(7,6)
Base field: 1 - 3T + 10T^2 - 30T^3 + 40T^4 - 48T^5 + 84T^6 - 60T^7
Embedding: 1.528711 + 0.128867√(-1)
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