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σ₀ = (1,6,4,3,7,2), σ₁ = (1,2,3,4)(5,6), σ∞ = (7,2)(5,6,4)
Base field: 1 - 3T + T^3 + 21T^4 - 12T^5 - 92T^6 + 132T^7 + 24T^8 - 120T^9 - 36T^10 + 180T^11 - 100T^12
Embedding: 1.265323
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