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σ₀ = (1,4,8,9)(2,6)(3,5,7), σ₁ = (1,7,5)(2,9,8,4)(3,6), σ∞ = (2,3,1)(5,6,4)
Base field: 1 - 12T^2 + 27T^4 - 8T^6
Embedding: -3.023650
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