K13n2189
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Polynomial invariants
| Jones polynomial | Data:K13n2189/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-14 t^2+38 t-51+38 t^{-1} -14 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2189/Conway Polynomial |
| Determinant | 159 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} +z^4 a^{-4} -z^4 a^{-6} -2 z^4+a^2 z^2-2 z^2 a^{-2} +2 z^2 a^{-4} +z^2 a^{-6} -2 z^2+a^2-2 a^{-2} +2 a^{-4} + a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +4 z^{10} a^{-2} +7 z^{10} a^{-4} +3 z^{10} a^{-6} +6 z^9 a^{-1} +12 z^9 a^{-3} +9 z^9 a^{-5} +3 z^9 a^{-7} -6 z^8 a^{-4} +z^8 a^{-8} +5 z^8+3 a z^7-11 z^7 a^{-1} -36 z^7 a^{-3} -24 z^7 a^{-5} -2 z^7 a^{-7} +a^2 z^6-13 z^6 a^{-2} -13 z^6 a^{-4} -6 z^6 a^{-6} +4 z^6 a^{-8} -9 z^6-7 a z^5+10 z^5 a^{-1} +47 z^5 a^{-3} +28 z^5 a^{-5} +z^5 a^{-7} +3 z^5 a^{-9} -3 a^2 z^4+18 z^4 a^{-2} +30 z^4 a^{-4} +7 z^4 a^{-6} -10 z^4 a^{-8} +2 z^4+4 a z^3-12 z^3 a^{-1} -31 z^3 a^{-3} -15 z^3 a^{-5} -6 z^3 a^{-7} -6 z^3 a^{-9} +3 a^2 z^2-13 z^2 a^{-2} -17 z^2 a^{-4} -2 z^2 a^{-6} +4 z^2 a^{-8} +z^2+5 z a^{-1} +9 z a^{-3} +5 z a^{-5} +3 z a^{-7} +2 z a^{-9} -a^2+2 a^{-2} +2 a^{-4} - a^{-6} - a^{-8} }[/math] |
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