K13n4022
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Polynomial invariants
| Jones polynomial | Data:K13n4022/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+10 t^2-17 t+19-17 t^{-1} +10 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4022/Conway Polynomial |
| Determinant | 77 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{12}+z^4 a^{10}+3 z^2 a^{10}+2 a^{10}-z^6 a^8-3 z^4 a^8-3 z^2 a^8-2 a^8-z^6 a^6-2 z^4 a^6+2 z^4 a^4+5 z^2 a^4+2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^5 a^{13}-8 z^3 a^{13}+4 z a^{13}+z^8 a^{12}+2 z^6 a^{12}-11 z^4 a^{12}+6 z^2 a^{12}-a^{12}+3 z^9 a^{11}-11 z^7 a^{11}+21 z^5 a^{11}-23 z^3 a^{11}+6 z a^{11}+2 z^{10} a^{10}-6 z^8 a^{10}+12 z^6 a^{10}-15 z^4 a^{10}+8 z^2 a^{10}-2 a^{10}+7 z^9 a^9-27 z^7 a^9+43 z^5 a^9-25 z^3 a^9+5 z a^9+2 z^{10} a^8-4 z^8 a^8+2 z^6 a^8+4 z^4 a^8+4 z^2 a^8-2 a^8+4 z^9 a^7-15 z^7 a^7+26 z^5 a^7-14 z^3 a^7+3 z a^7+3 z^8 a^6-8 z^6 a^6+11 z^4 a^6-5 z^2 a^6+z^7 a^5+z^5 a^5-4 z^3 a^5+3 z^4 a^4-7 z^2 a^4+2 a^4 }[/math] |
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