K13a667
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Polynomial invariants
| Jones polynomial | Data:K13a667/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^2+20 t-31+20 t^{-1} -4 t^{-2} }[/math] |
| Conway polynomial | Data:K13a667/Conway Polynomial |
| Determinant | 79 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{12}+2 z^2 a^{10}+a^{10}-z^4 a^8-z^4 a^6+z^2 a^6-z^4 a^4+z^2 a^4+a^4-z^4 a^2-z^2 a^2-a^2+z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{13}-7 z^7 a^{13}+16 z^5 a^{13}-14 z^3 a^{13}+4 z a^{13}+2 z^{10} a^{12}-13 z^8 a^{12}+27 z^6 a^{12}-22 z^4 a^{12}+8 z^2 a^{12}-a^{12}+2 z^{11} a^{11}-11 z^9 a^{11}+15 z^7 a^{11}+z^5 a^{11}-9 z^3 a^{11}+3 z a^{11}+z^{12} a^{10}-3 z^{10} a^{10}-6 z^8 a^{10}+22 z^6 a^{10}-17 z^4 a^{10}+5 z^2 a^{10}-a^{10}+4 z^{11} a^9-23 z^9 a^9+43 z^7 a^9-35 z^5 a^9+12 z^3 a^9-z a^9+z^{12} a^8-3 z^{10} a^8-z^8 a^8+4 z^6 a^8-2 z^2 a^8+2 z^{11} a^7-9 z^9 a^7+15 z^7 a^7-15 z^5 a^7+5 z^3 a^7+2 z^{10} a^6-6 z^8 a^6+5 z^6 a^6-2 z^4 a^6+2 z^9 a^5-4 z^7 a^5+3 z^5 a^5-z^3 a^5+2 z^8 a^4-2 z^6 a^4+2 z^4 a^4-2 z^2 a^4+a^4+2 z^7 a^3-2 z^3 a^3+z a^3+2 z^6 a^2-3 z^2 a^2+a^2+2 z^5 a-3 z^3 a+z a+z^4-2 z^2+1 }[/math] |
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