K13n13
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Polynomial invariants
| Jones polynomial | Data:K13n13/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+8 t^2-18 t+23-18 t^{-1} +8 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n13/Conway Polynomial |
| Determinant | 77 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}-a^{12}+2 z^4 a^{10}+4 z^2 a^{10}+2 a^{10}-z^6 a^8-3 z^4 a^8-4 z^2 a^8-2 a^8+2 z^4 a^6+3 z^2 a^6+z^4 a^4+3 z^2 a^4+2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{15}-4 z^5 a^{15}+4 z^3 a^{15}-z a^{15}+3 z^8 a^{14}-12 z^6 a^{14}+12 z^4 a^{14}-4 z^2 a^{14}+4 z^9 a^{13}-15 z^7 a^{13}+13 z^5 a^{13}-5 z^3 a^{13}+z a^{13}+3 z^{10} a^{12}-9 z^8 a^{12}+2 z^6 a^{12}+2 z^4 a^{12}+z^2 a^{12}-a^{12}+z^{11} a^{11}+2 z^9 a^{11}-21 z^7 a^{11}+30 z^5 a^{11}-15 z^3 a^{11}+2 z a^{11}+5 z^{10} a^{10}-22 z^8 a^{10}+32 z^6 a^{10}-21 z^4 a^{10}+9 z^2 a^{10}-2 a^{10}+z^{11} a^9-z^9 a^9-9 z^7 a^9+20 z^5 a^9-9 z^3 a^9+z a^9+2 z^{10} a^8-10 z^8 a^8+20 z^6 a^8-16 z^4 a^8+9 z^2 a^8-2 a^8+z^9 a^7-4 z^7 a^7+8 z^5 a^7-4 z^3 a^7+2 z^6 a^6-4 z^4 a^6+2 z^2 a^6+z^5 a^5-z^3 a^5-z a^5+z^4 a^4-3 z^2 a^4+2 a^4 }[/math] |
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