K13n3609
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Polynomial invariants
| Jones polynomial | Data:K13n3609/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+14 t^2-33 t+43-33 t^{-1} +14 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3609/Conway Polynomial |
| Determinant | 141 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-6} -z^6 a^{-8} +2 z^4 a^{-4} -z^4 a^{-6} -z^4 a^{-8} +2 z^4 a^{-10} +4 z^2 a^{-4} -z^2 a^{-8} +3 z^2 a^{-10} -z^2 a^{-12} +2 a^{-4} -2 a^{-8} +2 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +3 z^{10} a^{-8} +7 z^{10} a^{-10} +4 z^{10} a^{-12} +4 z^9 a^{-7} +8 z^9 a^{-9} +9 z^9 a^{-11} +5 z^9 a^{-13} +3 z^8 a^{-6} +z^8 a^{-8} -14 z^8 a^{-10} -9 z^8 a^{-12} +3 z^8 a^{-14} +z^7 a^{-5} -4 z^7 a^{-7} -22 z^7 a^{-9} -36 z^7 a^{-11} -18 z^7 a^{-13} +z^7 a^{-15} -2 z^6 a^{-6} -8 z^6 a^{-8} +9 z^6 a^{-10} +4 z^6 a^{-12} -11 z^6 a^{-14} +3 z^5 a^{-5} +5 z^5 a^{-7} +20 z^5 a^{-9} +45 z^5 a^{-11} +23 z^5 a^{-13} -4 z^5 a^{-15} +3 z^4 a^{-4} +5 z^4 a^{-6} +7 z^4 a^{-8} -10 z^4 a^{-10} -3 z^4 a^{-12} +12 z^4 a^{-14} -3 z^3 a^{-5} -2 z^3 a^{-7} -10 z^3 a^{-9} -31 z^3 a^{-11} -16 z^3 a^{-13} +4 z^3 a^{-15} -5 z^2 a^{-4} -4 z^2 a^{-6} +3 z^2 a^{-8} +7 z^2 a^{-10} +z^2 a^{-12} -4 z^2 a^{-14} -z a^{-5} +z a^{-7} +5 z a^{-9} +8 z a^{-11} +5 z a^{-13} +2 a^{-4} -2 a^{-8} -2 a^{-10} - a^{-12} }[/math] |
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