K13n18
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Polynomial invariants
| Jones polynomial | Data:K13n18/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+15 t^2-37 t+49-37 t^{-1} +15 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n18/Conway Polynomial |
| Determinant | 157 |
| 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+2 z^2 a^8+a^8-z^6 a^6-z^4 a^6-z^2 a^6-a^6+2 z^4 a^4+4 z^2 a^4+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}+13 z^4 a^{14}-4 z^2 a^{14}+6 z^9 a^{13}-16 z^7 a^{13}+8 z^5 a^{13}+3 z^3 a^{13}-2 z a^{13}+4 z^{10} a^{12}-27 z^6 a^{12}+28 z^4 a^{12}-7 z^2 a^{12}+z^{11} a^{11}+12 z^9 a^{11}-35 z^7 a^{11}+17 z^5 a^{11}+5 z^3 a^{11}-4 z a^{11}+7 z^{10} a^{10}-3 z^8 a^{10}-28 z^6 a^{10}+30 z^4 a^{10}-10 z^2 a^{10}+a^{10}+z^{11} a^9+10 z^9 a^9-22 z^7 a^9+9 z^5 a^9+3 z^3 a^9-z a^9+3 z^{10} a^8+4 z^8 a^8-16 z^6 a^8+19 z^4 a^8-8 z^2 a^8+a^8+4 z^9 a^7-3 z^7 a^7+6 z^5 a^7-5 z^3 a^7+2 z a^7+3 z^8 a^6-2 z^6 a^6+7 z^4 a^6-6 z^2 a^6+a^6+z^7 a^5+3 z^5 a^5-3 z^3 a^5+3 z^4 a^4-5 z^2 a^4+2 a^4 }[/math] |
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