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σ₀ = (1,3,4,8,7,2)(5,6), σ₁ = (3,7,5)(4,6,8), σ∞ = (2,3,1)(5,4)(7,6)
Base field: 1 + 3T^2 - 4T^3 + 3T^4 - T^6
Embedding: -0.433128
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