K13a1244
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Polynomial invariants
| Jones polynomial | Data:K13a1244/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+26 t^2-61 t+79-61 t^{-1} +26 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13a1244/Conway Polynomial |
| Determinant | 261 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}-a^{12}+2 z^4 a^{10}+2 z^2 a^{10}+a^{10}-z^6 a^8+z^4 a^8+2 z^2 a^8-a^8-2 z^6 a^6-2 z^4 a^6+z^2 a^6+a^6-z^6 a^4+2 z^2 a^4+a^4+z^4 a^2+z^2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{15}-4 z^5 a^{15}+5 z^3 a^{15}-2 z a^{15}+3 z^8 a^{14}-10 z^6 a^{14}+10 z^4 a^{14}-3 z^2 a^{14}+5 z^9 a^{13}-13 z^7 a^{13}+8 z^5 a^{13}+6 z^{10} a^{12}-14 z^8 a^{12}+13 z^6 a^{12}-12 z^4 a^{12}+6 z^2 a^{12}-a^{12}+4 z^{11} a^{11}-z^9 a^{11}-11 z^7 a^{11}+10 z^5 a^{11}-5 z^3 a^{11}+z a^{11}+z^{12} a^{10}+13 z^{10} a^{10}-38 z^8 a^{10}+48 z^6 a^{10}-36 z^4 a^{10}+11 z^2 a^{10}-a^{10}+8 z^{11} a^9-5 z^9 a^9-13 z^7 a^9+17 z^5 a^9-7 z^3 a^9+2 z a^9+z^{12} a^8+15 z^{10} a^8-33 z^8 a^8+28 z^6 a^8-12 z^4 a^8+5 z^2 a^8-a^8+4 z^{11} a^7+11 z^9 a^7-37 z^7 a^7+37 z^5 a^7-16 z^3 a^7+4 z a^7+8 z^{10} a^6-4 z^8 a^6-14 z^6 a^6+15 z^4 a^6-3 z^2 a^6-a^6+10 z^9 a^5-17 z^7 a^5+10 z^5 a^5-5 z^3 a^5+z a^5+8 z^8 a^4-16 z^6 a^4+11 z^4 a^4-5 z^2 a^4+a^4+4 z^7 a^3-8 z^5 a^3+4 z^3 a^3+z^6 a^2-2 z^4 a^2+z^2 a^2 }[/math] |
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