K13n1850
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Polynomial invariants
| Jones polynomial | Data:K13n1850/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+20 t^2-40 t+49-40 t^{-1} +20 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1850/Conway Polynomial |
| Determinant | 177 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{10}-a^{10}+3 z^4 a^8+5 z^2 a^8+a^8-2 z^6 a^6-4 z^4 a^6-z^2 a^6-2 z^6 a^4-5 z^4 a^4-3 z^2 a^4+2 z^4 a^2+4 z^2 a^2+a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{13}-z^3 a^{13}+4 z^6 a^{12}-4 z^4 a^{12}+z^2 a^{12}+9 z^7 a^{11}-13 z^5 a^{11}+9 z^3 a^{11}-3 z a^{11}+12 z^8 a^{10}-17 z^6 a^{10}+10 z^4 a^{10}-4 z^2 a^{10}+a^{10}+10 z^9 a^9-6 z^7 a^9-12 z^5 a^9+12 z^3 a^9-2 z a^9+5 z^{10} a^8+10 z^8 a^8-36 z^6 a^8+31 z^4 a^8-11 z^2 a^8+a^8+z^{11} a^7+16 z^9 a^7-34 z^7 a^7+19 z^5 a^7-3 z^3 a^7+7 z^{10} a^6-z^8 a^6-27 z^6 a^6+30 z^4 a^6-11 z^2 a^6+z^{11} a^5+7 z^9 a^5-16 z^7 a^5+4 z^5 a^5+5 z^3 a^5-2 z a^5+2 z^{10} a^4+z^8 a^4-9 z^6 a^4+5 z^4 a^4+z^9 a^3+3 z^7 a^3-13 z^5 a^3+10 z^3 a^3-z a^3+3 z^6 a^2-8 z^4 a^2+5 z^2 a^2-a^2 }[/math] |
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