K13n3203
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Polynomial invariants
| Jones polynomial | Data:K13n3203/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+14 t^2-24 t+27-24 t^{-1} +14 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3203/Conway Polynomial |
| Determinant | 109 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{10}-2 a^{10}+2 z^4 a^8+5 z^2 a^8+2 a^8-z^6 a^6-z^4 a^6+3 z^2 a^6+2 a^6-2 z^6 a^4-7 z^4 a^4-7 z^2 a^4-3 a^4+2 z^4 a^2+5 z^2 a^2+2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{13}-3 z^3 a^{13}+2 z a^{13}+2 z^6 a^{12}-4 z^4 a^{12}+z^2 a^{12}+3 z^7 a^{11}-5 z^5 a^{11}+2 z^3 a^{11}-z a^{11}+4 z^8 a^{10}-9 z^6 a^{10}+12 z^4 a^{10}-8 z^2 a^{10}+2 a^{10}+4 z^9 a^9-9 z^7 a^9+10 z^5 a^9+z^3 a^9-2 z a^9+3 z^{10} a^8-6 z^8 a^8+5 z^6 a^8+5 z^4 a^8-4 z^2 a^8+2 a^8+z^{11} a^7+3 z^9 a^7-14 z^7 a^7+20 z^5 a^7-8 z^3 a^7+5 z^{10} a^6-16 z^8 a^6+26 z^6 a^6-28 z^4 a^6+14 z^2 a^6-2 a^6+z^{11} a^5-z^7 a^5-7 z^5 a^5+6 z^3 a^5-3 z a^5+2 z^{10} a^4-6 z^8 a^4+13 z^6 a^4-27 z^4 a^4+18 z^2 a^4-3 a^4+z^9 a^3+z^7 a^3-11 z^5 a^3+10 z^3 a^3-2 z a^3+3 z^6 a^2-10 z^4 a^2+9 z^2 a^2-2 a^2 }[/math] |
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