K13n1599
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Polynomial invariants
| Jones polynomial | Data:K13n1599/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-9 t^2+30 t-43+30 t^{-1} -9 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n1599/Conway Polynomial |
| Determinant | 123 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+3 z^2 a^8+2 a^8-3 z^4 a^6-4 z^2 a^6-2 a^6+z^6 a^4+2 z^4 a^4+4 z^2 a^4+a^4-2 z^4 a^2-z^2 a^2+a^2+z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-4 z^5 a^{11}+5 z^3 a^{11}-2 z a^{11}+3 z^8 a^{10}-11 z^6 a^{10}+12 z^4 a^{10}-5 z^2 a^{10}+a^{10}+4 z^9 a^9-11 z^7 a^9+4 z^5 a^9+3 z^3 a^9-z a^9+3 z^{10} a^8-3 z^8 a^8-13 z^6 a^8+17 z^4 a^8-9 z^2 a^8+2 a^8+z^{11} a^7+6 z^9 a^7-24 z^7 a^7+21 z^5 a^7-8 z^3 a^7+z a^7+6 z^{10} a^6-13 z^8 a^6+4 z^6 a^6+6 z^4 a^6-7 z^2 a^6+2 a^6+z^{11} a^5+5 z^9 a^5-18 z^7 a^5+20 z^5 a^5-6 z^3 a^5+3 z^{10} a^4-6 z^8 a^4+9 z^6 a^4-3 z^4 a^4-z^2 a^4+a^4+3 z^9 a^3-6 z^7 a^3+11 z^5 a^3-4 z^3 a^3+z^8 a^2+3 z^6 a^2-3 z^4 a^2+z^2 a^2-a^2+4 z^5 a-4 z^3 a+z^4-z^2 }[/math] |
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