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σ₀ = (1,7,8,4,5,6)(2,3), σ₁ = (1,2,6)(5,8,7), σ∞ = (2,3,1)(5,4)(7,6)
Base field: 1 + 3T^2 - 4T^3 + 3T^4 - T^6
Embedding: 0.513327 + 0.746591√(-1)
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