K13n3333
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Polynomial invariants
| Jones polynomial | Data:K13n3333/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-10 t^2+30 t-41+30 t^{-1} -10 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n3333/Conway Polynomial |
| Determinant | 123 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8-2 z^4 a^6-2 z^2 a^6-a^6+z^6 a^4+2 z^4 a^4+5 z^2 a^4+4 a^4-4 z^4 a^2-8 z^2 a^2-5 a^2+3 z^2+3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+4 a^6 z^{10}+5 a^4 z^{10}+a^2 z^{10}+7 a^7 z^9+7 a^5 z^9+7 a^8 z^8-3 a^6 z^8-10 a^4 z^8+4 a^9 z^7-17 a^7 z^7-26 a^5 z^7-2 a^3 z^7+3 a z^7+a^{10} z^6-19 a^8 z^6-15 a^6 z^6+2 a^4 z^6-3 a^2 z^6-10 a^9 z^5+10 a^7 z^5+32 a^5 z^5+11 a^3 z^5-a z^5-2 a^{10} z^4+13 a^8 z^4+25 a^6 z^4+22 a^4 z^4+17 a^2 z^4+5 z^4+4 a^9 z^3-2 a^7 z^3-11 a^5 z^3-10 a^3 z^3-5 a z^3-4 a^8 z^2-11 a^6 z^2-19 a^4 z^2-21 a^2 z^2-9 z^2+a^5 z+3 a^3 z+2 a z+a^6+4 a^4+5 a^2+3 }[/math] |
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