K13n1892
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Polynomial invariants
| Jones polynomial | Data:K13n1892/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-16 t^2+25 t-27+25 t^{-1} -16 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1892/Conway Polynomial |
| Determinant | 123 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +z^6 a^{-4} +2 z^6-a^2 z^4-10 z^4 a^{-2} +4 z^4 a^{-4} +7 z^4-2 a^2 z^2-11 z^2 a^{-2} +6 z^2 a^{-4} -z^2 a^{-6} +7 z^2-5 a^{-2} +4 a^{-4} - a^{-6} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +6 z^{10} a^{-2} +2 z^{10} a^{-4} +4 z^{10}+6 a z^9+10 z^9 a^{-1} +5 z^9 a^{-3} +z^9 a^{-5} +4 a^2 z^8-8 z^8 a^{-2} -z^8 a^{-4} -3 z^8+a^3 z^7-19 a z^7-41 z^7 a^{-1} -21 z^7 a^{-3} -14 a^2 z^6-22 z^6 a^{-2} -9 z^6 a^{-4} +z^6 a^{-6} -26 z^6-3 a^3 z^5+15 a z^5+42 z^5 a^{-1} +27 z^5 a^{-3} +3 z^5 a^{-5} +14 a^2 z^4+46 z^4 a^{-2} +28 z^4 a^{-4} +6 z^4 a^{-6} +38 z^4+2 a^3 z^3-5 a z^3-19 z^3 a^{-1} -13 z^3 a^{-3} +z^3 a^{-5} +2 z^3 a^{-7} -5 a^2 z^2-29 z^2 a^{-2} -21 z^2 a^{-4} -6 z^2 a^{-6} -19 z^2+a z+4 z a^{-1} +3 z a^{-3} -z a^{-5} -z a^{-7} +5 a^{-2} +4 a^{-4} + a^{-6} +3 }[/math] |
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