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σ₀ = (1,8,4,2,7,5,6), σ₁ = (1,8)(2,6,7)(3,4), σ∞ = (2,3,4,1)(6,5)
Base field: 1 - 8T + 23T^2 + 50T^3 - 429T^4 + 762T^5 + 1350T^6 - 7530T^7 + 10974T^8 + 9830T^9 - 114940T^10 + 187750T^11 + 529630T^12 - 1690674T^13 - 1165686T^14 + 7909410T^15 - 1816119T^16 - 20143350T^17 + 16863165T^18 + 23349600T^19 - 33101865T^20 - 8557920T^21 + 22838760T^22
Embedding: -0.078554 + 2.734157√(-1)
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