K13n5105
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Polynomial invariants
| Jones polynomial | Data:K13n5105/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 8 t^2-19 t+23-19 t^{-1} +8 t^{-2} }[/math] |
| Conway polynomial | Data:K13n5105/Conway Polynomial |
| Determinant | 77 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{-4} +2 z^4 a^{-6} +3 z^4 a^{-8} +2 z^4 a^{-10} +2 z^2 a^{-4} +3 z^2 a^{-6} +6 z^2 a^{-8} +4 z^2 a^{-10} -2 z^2 a^{-12} +2 a^{-8} +2 a^{-10} -3 a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-11} +z^{11} a^{-13} +3 z^{10} a^{-10} +4 z^{10} a^{-12} +z^{10} a^{-14} +4 z^9 a^{-9} -z^9 a^{-11} -5 z^9 a^{-13} +5 z^8 a^{-8} -12 z^8 a^{-10} -21 z^8 a^{-12} -4 z^8 a^{-14} +4 z^7 a^{-7} -13 z^7 a^{-9} -5 z^7 a^{-11} +15 z^7 a^{-13} +3 z^7 a^{-15} +3 z^6 a^{-6} -17 z^6 a^{-8} +23 z^6 a^{-10} +48 z^6 a^{-12} +5 z^6 a^{-14} +2 z^5 a^{-5} -9 z^5 a^{-7} +17 z^5 a^{-9} +10 z^5 a^{-11} -34 z^5 a^{-13} -16 z^5 a^{-15} +z^4 a^{-4} -5 z^4 a^{-6} +26 z^4 a^{-8} -25 z^4 a^{-10} -63 z^4 a^{-12} -6 z^4 a^{-14} -3 z^3 a^{-5} +9 z^3 a^{-7} -7 z^3 a^{-9} -11 z^3 a^{-11} +34 z^3 a^{-13} +26 z^3 a^{-15} -2 z^2 a^{-4} +3 z^2 a^{-6} -12 z^2 a^{-8} +10 z^2 a^{-10} +33 z^2 a^{-12} +6 z^2 a^{-14} +z a^{-11} -11 z a^{-13} -12 z a^{-15} +2 a^{-8} -2 a^{-10} -3 a^{-12} }[/math] |
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