K13n1267
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Polynomial invariants
| Jones polynomial | Data:K13n1267/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+11 t^2-16 t+17-16 t^{-1} +11 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1267/Conway Polynomial |
| Determinant | 77 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -z^6 a^{-6} -z^6 a^{-8} +z^4 a^{-2} -3 z^4 a^{-4} -2 z^4 a^{-6} -4 z^4 a^{-8} +z^4 a^{-10} +3 z^2 a^{-2} -2 z^2 a^{-4} +z^2 a^{-6} -5 z^2 a^{-8} +4 z^2 a^{-10} +2 a^{-2} - a^{-4} + a^{-6} -3 a^{-8} +3 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +2 z^{10} a^{-6} +4 z^{10} a^{-8} +2 z^{10} a^{-10} +2 z^9 a^{-5} -2 z^9 a^{-7} -3 z^9 a^{-9} +z^9 a^{-11} +2 z^8 a^{-4} -7 z^8 a^{-6} -20 z^8 a^{-8} -11 z^8 a^{-10} +2 z^7 a^{-3} -4 z^7 a^{-5} -z^7 a^{-7} +2 z^7 a^{-9} -3 z^7 a^{-11} +z^6 a^{-2} -3 z^6 a^{-4} +13 z^6 a^{-6} +42 z^6 a^{-8} +28 z^6 a^{-10} +3 z^6 a^{-12} -6 z^5 a^{-3} +2 z^5 a^{-5} +9 z^5 a^{-7} +5 z^5 a^{-9} +5 z^5 a^{-11} +z^5 a^{-13} -4 z^4 a^{-2} -5 z^4 a^{-4} -13 z^4 a^{-6} -36 z^4 a^{-8} -33 z^4 a^{-10} -9 z^4 a^{-12} +3 z^3 a^{-3} -4 z^3 a^{-5} -4 z^3 a^{-7} -6 z^3 a^{-11} -3 z^3 a^{-13} +5 z^2 a^{-2} +5 z^2 a^{-4} +5 z^2 a^{-6} +18 z^2 a^{-8} +18 z^2 a^{-10} +5 z^2 a^{-12} +z a^{-3} +z a^{-5} -z a^{-7} -z a^{-9} +z a^{-11} +z a^{-13} -2 a^{-2} - a^{-4} - a^{-6} -3 a^{-8} -3 a^{-10} - a^{-12} }[/math] |
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