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σ₀ = (1,2,4,5)(3,9)(6,7,8), σ₁ = (1,9,3)(2,5)(4,8,7,6), σ∞ = (2,3,1)(5,6,4)
Base field: 1 - 12T^2 + 27T^4 - 8T^6
Embedding: -0.590589
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