K13n2013
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Polynomial invariants
| Jones polynomial | Data:K13n2013/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+t^2+5 t-9+5 t^{-1} + t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n2013/Conway Polynomial |
| Determinant | 15 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^{10}+a^{10}-z^4 a^8-2 z^2 a^8-2 a^8+2 z^2 a^6+a^6-z^6 a^4-5 z^4 a^4-5 z^2 a^4-a^4+z^4 a^2+4 z^2 a^2+2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^8 a^{12}-6 z^6 a^{12}+10 z^4 a^{12}-5 z^2 a^{12}+2 z^9 a^{11}-12 z^7 a^{11}+21 z^5 a^{11}-15 z^3 a^{11}+5 z a^{11}+2 z^{10} a^{10}-11 z^8 a^{10}+15 z^6 a^{10}-6 z^4 a^{10}+2 z^2 a^{10}-a^{10}+z^{11} a^9-3 z^9 a^9-9 z^7 a^9+30 z^5 a^9-27 z^3 a^9+10 z a^9+4 z^{10} a^8-26 z^8 a^8+50 z^6 a^8-38 z^4 a^8+12 z^2 a^8-2 a^8+z^{11} a^7-4 z^9 a^7-5 z^7 a^7+26 z^5 a^7-25 z^3 a^7+6 z a^7+2 z^{10} a^6-14 z^8 a^6+29 z^6 a^6-25 z^4 a^6+7 z^2 a^6-a^6+z^9 a^5-7 z^7 a^5+12 z^5 a^5-9 z^3 a^5+2 z a^5+z^6 a^4-8 z^4 a^4+8 z^2 a^4-a^4+z^7 a^3-5 z^5 a^3+4 z^3 a^3+z a^3+z^6 a^2-5 z^4 a^2+6 z^2 a^2-2 a^2 }[/math] |
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