K13n4133
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Polynomial invariants
| Jones polynomial | Data:K13n4133/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+14 t^2-32 t+41-32 t^{-1} +14 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4133/Conway Polynomial |
| Determinant | 137 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}-a^{12}+3 z^4 a^{10}+6 z^2 a^{10}+3 a^{10}-2 z^6 a^8-7 z^4 a^8-11 z^2 a^8-6 a^8+5 z^4 a^6+11 z^2 a^6+5 a^6+z^4 a^4+z^2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{15}-3 z^5 a^{15}+2 z^3 a^{15}+4 z^8 a^{14}-13 z^6 a^{14}+10 z^4 a^{14}-2 z^2 a^{14}+7 z^9 a^{13}-24 z^7 a^{13}+23 z^5 a^{13}-11 z^3 a^{13}+4 z a^{13}+6 z^{10} a^{12}-16 z^8 a^{12}+6 z^6 a^{12}+z^4 a^{12}+2 z^2 a^{12}-a^{12}+2 z^{11} a^{11}+6 z^9 a^{11}-39 z^7 a^{11}+52 z^5 a^{11}-30 z^3 a^{11}+6 z a^{11}+10 z^{10} a^{10}-33 z^8 a^{10}+41 z^6 a^{10}-28 z^4 a^{10}+11 z^2 a^{10}-3 a^{10}+2 z^{11} a^9+z^9 a^9-15 z^7 a^9+29 z^5 a^9-23 z^3 a^9+6 z a^9+4 z^{10} a^8-13 z^8 a^8+30 z^6 a^8-34 z^4 a^8+22 z^2 a^8-6 a^8+2 z^9 a^7-z^7 a^7+6 z^5 a^7-8 z^3 a^7+4 z a^7+8 z^6 a^6-14 z^4 a^6+14 z^2 a^6-5 a^6+3 z^5 a^5-2 z^3 a^5+z^4 a^4-z^2 a^4 }[/math] |
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