K13a4293
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Polynomial invariants
| Jones polynomial | Data:K13a4293/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-11 t^3+29 t^2-43 t+47-43 t^{-1} +29 t^{-2} -11 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a4293/Conway Polynomial |
| Determinant | 217 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +z^8 a^{-6} -z^6 a^{-2} +4 z^6 a^{-4} +4 z^6 a^{-6} -2 z^6 a^{-8} -3 z^4 a^{-2} +5 z^4 a^{-4} +7 z^4 a^{-6} -7 z^4 a^{-8} +z^4 a^{-10} -z^2 a^{-2} +3 z^2 a^{-4} +9 z^2 a^{-6} -7 z^2 a^{-8} +2 z^2 a^{-10} +4 a^{-6} -3 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-6} +z^{12} a^{-8} +4 z^{11} a^{-5} +8 z^{11} a^{-7} +4 z^{11} a^{-9} +7 z^{10} a^{-4} +12 z^{10} a^{-6} +12 z^{10} a^{-8} +7 z^{10} a^{-10} +7 z^9 a^{-3} -2 z^9 a^{-5} -18 z^9 a^{-7} -z^9 a^{-9} +8 z^9 a^{-11} +4 z^8 a^{-2} -21 z^8 a^{-4} -54 z^8 a^{-6} -50 z^8 a^{-8} -14 z^8 a^{-10} +7 z^8 a^{-12} +z^7 a^{-1} -25 z^7 a^{-3} -28 z^7 a^{-5} +4 z^7 a^{-7} -15 z^7 a^{-9} -17 z^7 a^{-11} +4 z^7 a^{-13} -14 z^6 a^{-2} +14 z^6 a^{-4} +87 z^6 a^{-6} +89 z^6 a^{-8} +12 z^6 a^{-10} -17 z^6 a^{-12} +z^6 a^{-14} -3 z^5 a^{-1} +24 z^5 a^{-3} +49 z^5 a^{-5} +33 z^5 a^{-7} +29 z^5 a^{-9} +8 z^5 a^{-11} -10 z^5 a^{-13} +11 z^4 a^{-2} -64 z^4 a^{-6} -72 z^4 a^{-8} -7 z^4 a^{-10} +10 z^4 a^{-12} -2 z^4 a^{-14} +z^3 a^{-1} -8 z^3 a^{-3} -27 z^3 a^{-5} -33 z^3 a^{-7} -17 z^3 a^{-9} +3 z^3 a^{-11} +5 z^3 a^{-13} -2 z^2 a^{-2} -z^2 a^{-4} +23 z^2 a^{-6} +26 z^2 a^{-8} +3 z^2 a^{-10} -z^2 a^{-12} +z a^{-3} +4 z a^{-5} +8 z a^{-7} +2 z a^{-9} -3 z a^{-11} -4 a^{-6} -3 a^{-8} }[/math] |
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