K13n2211
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Polynomial invariants
| Jones polynomial | Data:K13n2211/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+17 t^2-28 t+33-28 t^{-1} +17 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2211/Conway Polynomial |
| Determinant | 137 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{10}+3 z^2 a^{10}+2 a^{10}-2 z^6 a^8-8 z^4 a^8-11 z^2 a^8-5 a^8+z^8 a^6+5 z^6 a^6+10 z^4 a^6+9 z^2 a^6+2 a^6-z^6 a^4-2 z^4 a^4+z^2 a^4+2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{14}-3 z^4 a^{14}+2 z^2 a^{14}+3 z^7 a^{13}-8 z^5 a^{13}+5 z^3 a^{13}-z a^{13}+5 z^8 a^{12}-12 z^6 a^{12}+8 z^4 a^{12}-3 z^2 a^{12}+6 z^9 a^{11}-15 z^7 a^{11}+16 z^5 a^{11}-11 z^3 a^{11}+3 z a^{11}+4 z^{10} a^{10}-5 z^8 a^{10}-z^6 a^{10}+5 z^4 a^{10}-z^2 a^{10}-2 a^{10}+z^{11} a^9+8 z^9 a^9-27 z^7 a^9+40 z^5 a^9-28 z^3 a^9+9 z a^9+6 z^{10} a^8-13 z^8 a^8+21 z^6 a^8-22 z^4 a^8+16 z^2 a^8-5 a^8+z^{11} a^7+3 z^9 a^7-6 z^7 a^7+11 z^5 a^7-11 z^3 a^7+3 z a^7+2 z^{10} a^6-3 z^8 a^6+14 z^6 a^6-24 z^4 a^6+13 z^2 a^6-2 a^6+z^9 a^5+3 z^7 a^5-4 z^5 a^5-2 z a^5+5 z^6 a^4-8 z^4 a^4+z^2 a^4+2 a^4+z^5 a^3-z^3 a^3 }[/math] |
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