K13n2418
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Polynomial invariants
| Jones polynomial | Data:K13n2418/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+16 t^2-38 t+49-38 t^{-1} +16 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2418/Conway Polynomial |
| Determinant | 161 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}-a^{12}+2 z^4 a^{10}+2 z^2 a^{10}-z^6 a^8+2 z^2 a^8+a^8-z^6 a^6+2 z^2 a^6+2 z^4 a^4+3 z^2 a^4+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}-15 z^7 a^{13}+14 z^5 a^{13}-6 z^3 a^{13}+2 z a^{13}+4 z^{10} a^{12}-5 z^8 a^{12}-7 z^6 a^{12}+6 z^4 a^{12}+3 z^2 a^{12}-a^{12}+z^{11} a^{11}+11 z^9 a^{11}-34 z^7 a^{11}+28 z^5 a^{11}-11 z^3 a^{11}+2 z a^{11}+7 z^{10} a^{10}-4 z^8 a^{10}-17 z^6 a^{10}+12 z^4 a^{10}-2 z^2 a^{10}+z^{11} a^9+10 z^9 a^9-15 z^7 a^9-4 z^5 a^9+7 z^3 a^9-2 z a^9+3 z^{10} a^8+7 z^8 a^8-16 z^6 a^8+9 z^4 a^8-4 z^2 a^8+a^8+4 z^9 a^7+4 z^7 a^7-9 z^5 a^7+4 z^3 a^7+3 z^8 a^6+4 z^6 a^6-4 z^4 a^6+z^2 a^6+z^7 a^5+5 z^5 a^5-3 z^3 a^5+3 z^4 a^4-3 z^2 a^4+a^4 }[/math] |
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