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σ₀ = (1,2,3,4,5,6,7,8), σ₁ = (1,6,2,7,8)(3,5,4), σ∞ = (7,1)(8,2)(6,3)
Base field: 1 - 3T^2 - 6T^3 - 21T^4 + 48T^5 + 99T^6 - 18T^7
Embedding: -2.135056
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