K13n1579
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Polynomial invariants
| Jones polynomial | Data:K13n1579/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+11 t^2-19 t+23-19 t^{-1} +11 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1579/Conway Polynomial |
| Determinant | 89 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -2 z^6 a^{-4} -3 z^4 a^{-2} -8 z^4 a^{-4} +3 z^4 a^{-6} +z^4-2 z^2 a^{-2} -10 z^2 a^{-4} +8 z^2 a^{-6} -z^2 a^{-8} +3 z^2-4 a^{-4} +4 a^{-6} - a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +5 z^{10} a^{-4} +3 z^{10} a^{-6} +2 z^9 a^{-1} +2 z^9 a^{-5} +4 z^9 a^{-7} -7 z^8 a^{-2} -20 z^8 a^{-4} -9 z^8 a^{-6} +3 z^8 a^{-8} +z^8-10 z^7 a^{-1} -12 z^7 a^{-3} -16 z^7 a^{-5} -13 z^7 a^{-7} +z^7 a^{-9} +2 z^6 a^{-2} +29 z^6 a^{-4} +15 z^6 a^{-6} -6 z^6 a^{-8} -6 z^6+15 z^5 a^{-1} +17 z^5 a^{-3} +23 z^5 a^{-5} +24 z^5 a^{-7} +3 z^5 a^{-9} +9 z^4 a^{-2} -31 z^4 a^{-4} -23 z^4 a^{-6} +9 z^4 a^{-8} +4 z^4 a^{-10} +12 z^4-7 z^3 a^{-1} -8 z^3 a^{-3} -21 z^3 a^{-5} -24 z^3 a^{-7} -3 z^3 a^{-9} +z^3 a^{-11} -5 z^2 a^{-2} +20 z^2 a^{-4} +15 z^2 a^{-6} -3 z^2 a^{-8} -2 z^2 a^{-10} -9 z^2+z a^{-1} +3 z a^{-3} +7 z a^{-5} +7 z a^{-7} +2 z a^{-9} -4 a^{-4} -4 a^{-6} - a^{-8} +2 }[/math] |
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