K13n193
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Polynomial invariants
| Jones polynomial | Data:K13n193/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+5 t^2-2 t-1-2 t^{-1} +5 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n193/Conway Polynomial |
| Determinant | 17 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^8+z^4 a^6+5 z^2 a^6+3 a^6-z^6 a^4-5 z^4 a^4-6 z^2 a^4-3 a^4-z^6 a^2-4 z^4 a^2-2 z^2 a^2+a^2+z^4+3 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+a^6 z^{10}+3 a^4 z^{10}+2 a^2 z^{10}-7 a^5 z^9-5 a^3 z^9+2 a z^9-8 a^6 z^8-21 a^4 z^8-12 a^2 z^8+z^8+16 a^5 z^7+4 a^3 z^7-12 a z^7+22 a^6 z^6+48 a^4 z^6+20 a^2 z^6-6 z^6-a^7 z^5-17 a^5 z^5+4 a^3 z^5+20 a z^5-a^8 z^4-29 a^6 z^4-49 a^4 z^4-11 a^2 z^4+10 z^4+a^7 z^3+7 a^5 z^3-4 a^3 z^3-10 a z^3+2 a^8 z^2+16 a^6 z^2+22 a^4 z^2+3 a^2 z^2-5 z^2-a^7 z-a^5 z+a^3 z+a z-a^8-3 a^6-3 a^4-a^2+1 }[/math] |
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