K13n2644
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Polynomial invariants
| Jones polynomial | Data:K13n2644/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -5 t^3+21 t^2-36 t+41-36 t^{-1} +21 t^{-2} -5 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2644/Conway Polynomial |
| Determinant | 165 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -3 z^6 a^{-6} -z^6 a^{-8} +z^4 a^{-2} -10 z^4 a^{-6} -z^4 a^{-8} +z^4 a^{-10} +2 z^2 a^{-2} +6 z^2 a^{-4} -10 z^2 a^{-6} +2 z^2 a^{-8} +3 z^2 a^{-10} +4 a^{-4} -4 a^{-6} +2 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +5 z^{10} a^{-6} +10 z^{10} a^{-8} +5 z^{10} a^{-10} +7 z^9 a^{-5} +6 z^9 a^{-7} +3 z^9 a^{-9} +4 z^9 a^{-11} +6 z^8 a^{-4} -4 z^8 a^{-6} -25 z^8 a^{-8} -14 z^8 a^{-10} +z^8 a^{-12} +3 z^7 a^{-3} -16 z^7 a^{-5} -21 z^7 a^{-7} -8 z^7 a^{-9} -6 z^7 a^{-11} +z^6 a^{-2} -16 z^6 a^{-4} -13 z^6 a^{-6} +33 z^6 a^{-8} +35 z^6 a^{-10} +6 z^6 a^{-12} -7 z^5 a^{-3} +14 z^5 a^{-5} +23 z^5 a^{-7} +7 z^5 a^{-9} +8 z^5 a^{-11} +3 z^5 a^{-13} -3 z^4 a^{-2} +17 z^4 a^{-4} +29 z^4 a^{-6} -21 z^4 a^{-8} -45 z^4 a^{-10} -15 z^4 a^{-12} +3 z^3 a^{-3} -6 z^3 a^{-5} -6 z^3 a^{-7} -3 z^3 a^{-9} -11 z^3 a^{-11} -5 z^3 a^{-13} +2 z^2 a^{-2} -13 z^2 a^{-4} -20 z^2 a^{-6} +7 z^2 a^{-8} +19 z^2 a^{-10} +7 z^2 a^{-12} -z a^{-5} +2 z a^{-9} +3 z a^{-11} +2 z a^{-13} +4 a^{-4} +4 a^{-6} -2 a^{-10} - a^{-12} }[/math] |
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