K13n3200
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Polynomial invariants
| Jones polynomial | Data:K13n3200/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+17 t^2-42 t+55-42 t^{-1} +17 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3200/Conway Polynomial |
| Determinant | 177 |
| 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^8-2 a^8-z^6 a^6+z^4 a^6+5 z^2 a^6+3 a^6+2 z^4 a^4+2 z^2 a^4 }[/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}-14 z^7 a^{13}+11 z^5 a^{13}-3 z^3 a^{13}+z a^{13}+5 z^{10} a^{12}-10 z^8 a^{12}+4 z^6 a^{12}-4 z^4 a^{12}+5 z^2 a^{12}-a^{12}+2 z^{11} a^{11}+7 z^9 a^{11}-27 z^7 a^{11}+22 z^5 a^{11}-8 z^3 a^{11}+z a^{11}+11 z^{10} a^{10}-23 z^8 a^{10}+20 z^6 a^{10}-21 z^4 a^{10}+9 z^2 a^{10}-a^{10}+2 z^{11} a^9+9 z^9 a^9-19 z^7 a^9+4 z^5 a^9+3 z^3 a^9-z a^9+6 z^{10} a^8-6 z^8 a^8+11 z^6 a^8-21 z^4 a^8+12 z^2 a^8-2 a^8+7 z^9 a^7-6 z^7 a^7+4 z^5 a^7-2 z^3 a^7+z a^7+4 z^8 a^6+5 z^6 a^6-11 z^4 a^6+9 z^2 a^6-3 a^6+z^7 a^5+7 z^5 a^5-5 z^3 a^5+3 z^4 a^4-2 z^2 a^4 }[/math] |
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