K13n2026
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Polynomial invariants
| Jones polynomial | Data:K13n2026/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+17 t^2-37 t+47-37 t^{-1} +17 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2026/Conway Polynomial |
| Determinant | 161 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -2 z^6 a^{-6} +z^4 a^{-2} -z^4 a^{-4} -5 z^4 a^{-6} +4 z^4 a^{-8} +2 z^2 a^{-2} +z^2 a^{-4} -5 z^2 a^{-6} +8 z^2 a^{-8} -2 z^2 a^{-10} + a^{-2} + a^{-4} -3 a^{-6} +4 a^{-8} -2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +4 z^{10} a^{-6} +7 z^{10} a^{-8} +3 z^{10} a^{-10} +6 z^9 a^{-5} +12 z^9 a^{-7} +9 z^9 a^{-9} +3 z^9 a^{-11} +5 z^8 a^{-4} +z^8 a^{-6} -5 z^8 a^{-8} +z^8 a^{-12} +3 z^7 a^{-3} -10 z^7 a^{-5} -33 z^7 a^{-7} -22 z^7 a^{-9} -2 z^7 a^{-11} +z^6 a^{-2} -9 z^6 a^{-4} -16 z^6 a^{-6} -15 z^6 a^{-8} -5 z^6 a^{-10} +4 z^6 a^{-12} -7 z^5 a^{-3} +6 z^5 a^{-5} +37 z^5 a^{-7} +22 z^5 a^{-9} +z^5 a^{-11} +3 z^5 a^{-13} -3 z^4 a^{-2} +3 z^4 a^{-4} +21 z^4 a^{-6} +32 z^4 a^{-8} +7 z^4 a^{-10} -10 z^4 a^{-12} +4 z^3 a^{-3} -5 z^3 a^{-5} -19 z^3 a^{-7} -8 z^3 a^{-9} -4 z^3 a^{-11} -6 z^3 a^{-13} +3 z^2 a^{-2} -z^2 a^{-4} -14 z^2 a^{-6} -20 z^2 a^{-8} -6 z^2 a^{-10} +4 z^2 a^{-12} +z a^{-5} +3 z a^{-7} +z a^{-9} +z a^{-11} +2 z a^{-13} - a^{-2} + a^{-4} +3 a^{-6} +4 a^{-8} +2 a^{-10} }[/math] |
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