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σ₀ = (1,2,3,4,5)(6,7), σ₁ = (1,4,3)(2,5,6,7), σ∞ = (2,3,7,5,1)
Base field: 1 - 4T - 22T^2 + 84T^3 + 47T^4 - 44T^5 - 552T^6 + 1504T^7 - 2578T^8 + 1516T^9 - 266T^10
Embedding: 1.765739
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