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σ₀ = (1,8,3,6,5,7), σ₁ = (1,8)(2,7,3)(4,6,5), σ∞ = (2,3,1)(5,4)(7,6)
Base field: 1 - 3T^2 - 6T^3 - 12T^4 + 24T^5 - 8T^6
Embedding: 0.743047
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