K13n1189
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Polynomial invariants
| Jones polynomial | Data:K13n1189/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+11 t^2-23 t+29-23 t^{-1} +11 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1189/Conway Polynomial |
| Determinant | 101 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-6} -z^6 a^{-8} +2 z^4 a^{-4} -3 z^4 a^{-6} -2 z^4 a^{-8} +2 z^4 a^{-10} +6 z^2 a^{-4} -5 z^2 a^{-6} -z^2 a^{-8} +4 z^2 a^{-10} -z^2 a^{-12} +4 a^{-4} -4 a^{-6} +2 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +2 z^{10} a^{-8} +5 z^{10} a^{-10} +3 z^{10} a^{-12} +2 z^9 a^{-7} +2 z^9 a^{-11} +4 z^9 a^{-13} +2 z^8 a^{-6} -4 z^8 a^{-8} -18 z^8 a^{-10} -9 z^8 a^{-12} +3 z^8 a^{-14} +z^7 a^{-5} -2 z^7 a^{-7} -z^7 a^{-9} -14 z^7 a^{-11} -15 z^7 a^{-13} +z^7 a^{-15} -5 z^6 a^{-6} +5 z^6 a^{-8} +31 z^6 a^{-10} +9 z^6 a^{-12} -12 z^6 a^{-14} -z^5 a^{-5} -4 z^5 a^{-7} -5 z^5 a^{-9} +19 z^5 a^{-11} +17 z^5 a^{-13} -4 z^5 a^{-15} +3 z^4 a^{-4} +11 z^4 a^{-6} -2 z^4 a^{-8} -33 z^4 a^{-10} -10 z^4 a^{-12} +13 z^4 a^{-14} +2 z^3 a^{-5} +16 z^3 a^{-7} +12 z^3 a^{-9} -16 z^3 a^{-11} -10 z^3 a^{-13} +4 z^3 a^{-15} -8 z^2 a^{-4} -11 z^2 a^{-6} +5 z^2 a^{-8} +15 z^2 a^{-10} +4 z^2 a^{-12} -3 z^2 a^{-14} -4 z a^{-5} -8 z a^{-7} -4 z a^{-9} +3 z a^{-11} +3 z a^{-13} +4 a^{-4} +4 a^{-6} -2 a^{-10} - a^{-12} }[/math] |
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