K13n3207
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Polynomial invariants
| Jones polynomial | Data:K13n3207/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+13 t^2-22 t+27-22 t^{-1} +13 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3207/Conway Polynomial |
| Determinant | 109 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +5 z^6 a^{-2} -z^6 a^{-4} -z^6+8 z^4 a^{-2} -3 z^4 a^{-4} -2 z^4-a^2 z^2+3 z^2 a^{-2} -2 z^2 a^{-4} +z^2-a^2- a^{-2} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +5 z^{10} a^{-2} +4 z^{10} a^{-4} +z^{10}-z^9 a^{-1} +5 z^9 a^{-3} +6 z^9 a^{-5} -13 z^8 a^{-2} -9 z^8 a^{-4} +4 z^8 a^{-6} +5 a z^7+7 z^7 a^{-1} -20 z^7 a^{-3} -21 z^7 a^{-5} +z^7 a^{-7} +a^2 z^6+15 z^6 a^{-2} -14 z^6 a^{-6} +2 z^6-8 a z^5-17 z^5 a^{-1} +13 z^5 a^{-3} +19 z^5 a^{-5} -3 z^5 a^{-7} +5 a^2 z^4-15 z^4 a^{-2} +z^4 a^{-4} +12 z^4 a^{-6} +z^4+3 a^3 z^3+12 a z^3+14 z^3 a^{-1} -z^3 a^{-3} -4 z^3 a^{-5} +2 z^3 a^{-7} -4 a^2 z^2+3 z^2 a^{-2} +2 z^2 a^{-4} -z^2 a^{-6} -4 z^2-2 a^3 z-5 a z-5 z a^{-1} -2 z a^{-3} +a^2+ a^{-2} +3 }[/math] |
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