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σ₀ = (1,2,7,8)(3,4)(5,6), σ₁ = (1,4,5,3)(2,8,7), σ∞ = (2,3,1)(5,6,4)
Base field: 1 - T - 3T^2 - T^3 - 11T^4 + 3T^5 - 11T^6 - T^7
Embedding: 2.760319
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