K13n1589
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Polynomial invariants
| Jones polynomial | Data:K13n1589/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^2-7 t+11-7 t^{-1} +2 t^{-2} }[/math] |
| Conway polynomial | Data:K13n1589/Conway Polynomial |
| Determinant | 29 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{-2} +z^4 a^{-4} +2 z^2 a^{-2} +2 z^2 a^{-4} -z^2 a^{-6} -2 z^2+a^2+2 a^{-2} + a^{-4} - a^{-6} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +3 z^{10} a^{-2} +2 z^{10} a^{-4} +z^{10}-7 z^9 a^{-1} -5 z^9 a^{-3} +2 z^9 a^{-5} -21 z^8 a^{-2} -11 z^8 a^{-4} +2 z^8 a^{-6} -8 z^8+16 z^7 a^{-1} +6 z^7 a^{-3} -9 z^7 a^{-5} +z^7 a^{-7} +50 z^6 a^{-2} +18 z^6 a^{-4} -10 z^6 a^{-6} +22 z^6-a z^5-14 z^5 a^{-1} -z^5 a^{-3} +7 z^5 a^{-5} -5 z^5 a^{-7} -a^2 z^4-50 z^4 a^{-2} -13 z^4 a^{-4} +12 z^4 a^{-6} -26 z^4+3 a z^3+4 z^3 a^{-1} -2 z^3 a^{-3} +3 z^3 a^{-5} +6 z^3 a^{-7} +3 a^2 z^2+18 z^2 a^{-2} +3 z^2 a^{-4} -4 z^2 a^{-6} +14 z^2-a z-z a^{-1} -2 z a^{-5} -2 z a^{-7} -a^2-2 a^{-2} + a^{-4} + a^{-6} -2 }[/math] |
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