K13n3029
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Polynomial invariants
| Jones polynomial | Data:K13n3029/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+10 t^2-22 t+27-22 t^{-1} +10 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n3029/Conway Polynomial |
| Determinant | 93 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}-a^{12}+2 z^4 a^{10}+3 z^2 a^{10}-z^6 a^8-2 z^4 a^8-z^2 a^8+3 z^4 a^6+6 z^2 a^6+2 a^6+z^4 a^4+2 z^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}-11 z^6 a^{14}+10 z^4 a^{14}-2 z^2 a^{14}+4 z^9 a^{13}-13 z^7 a^{13}+9 z^5 a^{13}-4 z^3 a^{13}+3 z a^{13}+3 z^{10} a^{12}-7 z^8 a^{12}-z^6 a^{12}+z^4 a^{12}+2 z^2 a^{12}-a^{12}+z^{11} a^{11}+3 z^9 a^{11}-20 z^7 a^{11}+25 z^5 a^{11}-15 z^3 a^{11}+3 z a^{11}+5 z^{10} a^{10}-17 z^8 a^{10}+17 z^6 a^{10}-2 z^4 a^{10}-5 z^2 a^{10}+z^{11} a^9-7 z^7 a^9+10 z^5 a^9+z^3 a^9-2 z a^9+2 z^{10} a^8-7 z^8 a^8+11 z^6 a^8-3 z^4 a^8+z^2 a^8+z^9 a^7-z^7 a^7+4 z^3 a^7+4 z^6 a^6-9 z^4 a^6+8 z^2 a^6-2 a^6+2 z^5 a^5-3 z^3 a^5+z^4 a^4-2 z^2 a^4 }[/math] |
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