K13n3239
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Polynomial invariants
| Jones polynomial | Data:K13n3239/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+8 t^2-14 t+17-14 t^{-1} +8 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3239/Conway Polynomial |
| Determinant | 65 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{10}+3 z^2 a^{10}+2 a^{10}-z^6 a^8-4 z^4 a^8-6 z^2 a^8-3 a^8-z^6 a^6-3 z^4 a^6-3 z^2 a^6-2 a^6+2 z^4 a^4+6 z^2 a^4+4 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{14}-4 z^4 a^{14}+3 z^2 a^{14}+2 z^7 a^{13}-7 z^5 a^{13}+4 z^3 a^{13}+3 z^8 a^{12}-11 z^6 a^{12}+10 z^4 a^{12}-4 z^2 a^{12}+4 z^9 a^{11}-19 z^7 a^{11}+33 z^5 a^{11}-27 z^3 a^{11}+8 z a^{11}+3 z^{10} a^{10}-14 z^8 a^{10}+23 z^6 a^{10}-13 z^4 a^{10}+3 z^2 a^{10}-2 a^{10}+z^{11} a^9-z^9 a^9-13 z^7 a^9+41 z^5 a^9-37 z^3 a^9+12 z a^9+4 z^{10} a^8-23 z^8 a^8+51 z^6 a^8-44 z^4 a^8+18 z^2 a^8-3 a^8+z^{11} a^7-5 z^9 a^7+9 z^7 a^7-z^5 a^7-3 z^3 a^7+z^{10} a^6-6 z^8 a^6+16 z^6 a^6-15 z^4 a^6+2 z^2 a^6+2 a^6+z^7 a^5-2 z^5 a^5+3 z^3 a^5-4 z a^5+2 z^4 a^4-6 z^2 a^4+4 a^4 }[/math] |
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