K13n4823
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Polynomial invariants
| Jones polynomial | Data:K13n4823/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-4 t^4+7 t^3-7 t^2+6 t-5+6 t^{-1} -7 t^{-2} +7 t^{-3} -4 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n4823/Conway Polynomial |
| Determinant | 55 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{10}+3 z^2 a^{10}+2 a^{10}-z^8 a^8-7 z^6 a^8-16 z^4 a^8-15 z^2 a^8-5 a^8+z^{10} a^6+8 z^8 a^6+23 z^6 a^6+30 z^4 a^6+17 z^2 a^6+2 a^6-z^8 a^4-6 z^6 a^4-10 z^4 a^4-3 z^2 a^4+2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^2 a^{14}+2 z^3 a^{13}+3 z^4 a^{12}-2 z^2 a^{12}+5 z^5 a^{11}-11 z^3 a^{11}+5 z a^{11}+z^8 a^{10}-7 z^4 a^{10}+4 z^2 a^{10}-2 a^{10}+3 z^9 a^9-14 z^7 a^9+23 z^5 a^9-24 z^3 a^9+9 z a^9+4 z^{10} a^8-23 z^8 a^8+47 z^6 a^8-51 z^4 a^8+27 z^2 a^8-5 a^8+2 z^{11} a^7-8 z^9 a^7+2 z^7 a^7+14 z^5 a^7-10 z^3 a^7+z a^7+7 z^{10} a^6-44 z^8 a^6+91 z^6 a^6-78 z^4 a^6+29 z^2 a^6-2 a^6+2 z^{11} a^5-10 z^9 a^5+10 z^7 a^5+7 z^5 a^5-5 z^3 a^5-3 z a^5+3 z^{10} a^4-20 z^8 a^4+44 z^6 a^4-37 z^4 a^4+9 z^2 a^4+2 a^4+z^9 a^3-6 z^7 a^3+11 z^5 a^3-6 z^3 a^3 }[/math] |
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