K13n1811
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Polynomial invariants
| Jones polynomial | Data:K13n1811/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+12 t^2-32 t+43-32 t^{-1} +12 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n1811/Conway Polynomial |
| Determinant | 133 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}+2 z^4 a^{10}+z^2 a^{10}-a^{10}-z^6 a^8-z^4 a^8-z^2 a^8-a^8+4 z^4 a^6+7 z^2 a^6+3 a^6+z^4 a^4+z^2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{15}-3 z^5 a^{15}+3 z^3 a^{15}-z a^{15}+4 z^8 a^{14}-13 z^6 a^{14}+12 z^4 a^{14}-3 z^2 a^{14}+6 z^9 a^{13}-17 z^7 a^{13}+9 z^5 a^{13}+2 z^3 a^{13}-z a^{13}+4 z^{10} a^{12}-3 z^8 a^{12}-19 z^6 a^{12}+19 z^4 a^{12}-3 z^2 a^{12}+z^{11} a^{11}+9 z^9 a^{11}-29 z^7 a^{11}+14 z^5 a^{11}+6 z^3 a^{11}-5 z a^{11}+6 z^{10} a^{10}-8 z^8 a^{10}-8 z^6 a^{10}+10 z^4 a^{10}-4 z^2 a^{10}+a^{10}+z^{11} a^9+4 z^9 a^9-7 z^7 a^9-4 z^5 a^9+10 z^3 a^9-4 z a^9+2 z^{10} a^8-z^8 a^8+5 z^6 a^8-8 z^4 a^8+6 z^2 a^8-a^8+z^9 a^7+4 z^7 a^7-3 z^5 a^7+z^3 a^7+z a^7+7 z^6 a^6-10 z^4 a^6+9 z^2 a^6-3 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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