K13n3994
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Polynomial invariants
| Jones polynomial | Data:K13n3994/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+12 t^2-25 t+31-25 t^{-1} +12 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3994/Conway Polynomial |
| Determinant | 109 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}-a^{12}+2 z^4 a^{10}+4 z^2 a^{10}+2 a^{10}-z^6 a^8-2 z^4 a^8-2 z^2 a^8-2 a^8-z^6 a^6-2 z^4 a^6-z^2 a^6+2 z^4 a^4+5 z^2 a^4+2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{15}-4 z^5 a^{15}+4 z^3 a^{15}+3 z^8 a^{14}-12 z^6 a^{14}+13 z^4 a^{14}-3 z^2 a^{14}+4 z^9 a^{13}-15 z^7 a^{13}+18 z^5 a^{13}-13 z^3 a^{13}+5 z a^{13}+3 z^{10} a^{12}-8 z^8 a^{12}+5 z^6 a^{12}-5 z^4 a^{12}+2 z^2 a^{12}-a^{12}+z^{11} a^{11}+4 z^9 a^{11}-25 z^7 a^{11}+42 z^5 a^{11}-37 z^3 a^{11}+9 z a^{11}+6 z^{10} a^{10}-21 z^8 a^{10}+30 z^6 a^{10}-23 z^4 a^{10}+8 z^2 a^{10}-2 a^{10}+z^{11} a^9+4 z^9 a^9-23 z^7 a^9+40 z^5 a^9-27 z^3 a^9+8 z a^9+3 z^{10} a^8-7 z^8 a^8+5 z^6 a^8+4 z^4 a^8+4 z^2 a^8-2 a^8+4 z^9 a^7-13 z^7 a^7+21 z^5 a^7-11 z^3 a^7+4 z a^7+3 z^8 a^6-8 z^6 a^6+12 z^4 a^6-6 z^2 a^6+z^7 a^5+z^5 a^5-4 z^3 a^5+3 z^4 a^4-7 z^2 a^4+2 a^4 }[/math] |
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