K13n1871
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Polynomial invariants
| Jones polynomial | Data:K13n1871/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+15 t^2-35 t+45-35 t^{-1} +15 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1871/Conway Polynomial |
| Determinant | 149 |
| 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+3 z^2 a^8+2 a^8-z^6 a^6-z^4 a^6-z^2 a^6-2 a^6+2 z^4 a^4+4 z^2 a^4+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}-15 z^7 a^{13}+13 z^5 a^{13}-5 z^3 a^{13}+z a^{13}+4 z^{10} a^{12}-6 z^8 a^{12}-4 z^6 a^{12}+5 z^2 a^{12}-a^{12}+z^{11} a^{11}+10 z^9 a^{11}-33 z^7 a^{11}+27 z^5 a^{11}-10 z^3 a^{11}+z a^{11}+7 z^{10} a^{10}-9 z^8 a^{10}-6 z^6 a^{10}+4 z^4 a^{10}+z^2 a^{10}+z^{11} a^9+9 z^9 a^9-21 z^7 a^9+11 z^5 a^9+2 z^3 a^9-2 z a^9+3 z^{10} a^8+3 z^8 a^8-14 z^6 a^8+18 z^4 a^8-9 z^2 a^8+2 a^8+4 z^9 a^7-3 z^7 a^7+4 z^5 a^7-z^3 a^7+3 z^8 a^6-2 z^6 a^6+7 z^4 a^6-7 z^2 a^6+2 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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