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σ₀ = (1,3,4,2)(5,6,7), σ₁ = (1,9,2)(3,4,7,5)(6,8), σ∞ = (9,1)(3,2)(5,4)(7,8,6)
Base field: 1 - 4T + 9T^2 - 2T^3 - 22T^4 + 48T^5 - 56T^6 + 56T^7 - 84T^8
Embedding: 1.721347
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