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σ₀ = (1,2,3,4,5,6,7,8), σ₁ = (1,5,7,3,2)(4,6,8), σ∞ = (6,1)(7,4)(8,5)
Base field: 1 - 3T^2 - 6T^3 - 21T^4 + 48T^5 + 99T^6 - 18T^7
Embedding: 0.169042
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