K13n120
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Polynomial invariants
| Jones polynomial | Data:K13n120/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+5 t^2-6 t+5-6 t^{-1} +5 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n120/Conway Polynomial |
| Determinant | 29 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{12}+2 z^2 a^{10}+2 a^{10}-z^4 a^8-3 z^2 a^8-3 a^8+2 z^4 a^6+6 z^2 a^6+3 a^6-z^6 a^4-3 z^4 a^4-2 z^2 a^4-a^4+z^4 a^2+2 z^2 a^2+a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{13}-7 z^7 a^{13}+16 z^5 a^{13}-15 z^3 a^{13}+5 z a^{13}+2 z^{10} a^{12}-14 z^8 a^{12}+31 z^6 a^{12}-28 z^4 a^{12}+10 z^2 a^{12}-a^{12}+z^{11} a^{11}-4 z^9 a^{11}-7 z^7 a^{11}+35 z^5 a^{11}-33 z^3 a^{11}+8 z a^{11}+4 z^{10} a^{10}-30 z^8 a^{10}+65 z^6 a^{10}-51 z^4 a^{10}+16 z^2 a^{10}-2 a^{10}+z^{11} a^9-5 z^9 a^9-5 z^7 a^9+34 z^5 a^9-27 z^3 a^9+6 z a^9+2 z^{10} a^8-16 z^8 a^8+36 z^6 a^8-30 z^4 a^8+15 z^2 a^8-3 a^8+z^9 a^7-5 z^7 a^7+8 z^5 a^7-5 z^3 a^7+2 z a^7+3 z^8 a^6-5 z^6 a^6-8 z^4 a^6+11 z^2 a^6-3 a^6+z^9 a^5+3 z^7 a^5-16 z^5 a^5+10 z^3 a^5-2 z a^5+3 z^8 a^4-6 z^6 a^4-4 z^4 a^4+5 z^2 a^4-a^4+3 z^7 a^3-9 z^5 a^3+6 z^3 a^3-z a^3+z^6 a^2-3 z^4 a^2+3 z^2 a^2-a^2 }[/math] |
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