K13n384
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Polynomial invariants
| Jones polynomial | Data:K13n384/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+20 t^2-38 t+47-38 t^{-1} +20 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n384/Conway Polynomial |
| Determinant | 177 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -z^6 a^{-2} +5 z^6 a^{-4} -2 z^6 a^{-6} -3 z^4 a^{-2} +11 z^4 a^{-4} -5 z^4 a^{-6} +z^4 a^{-8} -3 z^2 a^{-2} +11 z^2 a^{-4} -3 z^2 a^{-6} -z^2 a^{-8} - a^{-2} +4 a^{-4} -3 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +4 z^{10} a^{-4} +8 z^{10} a^{-6} +4 z^{10} a^{-8} +6 z^9 a^{-3} +15 z^9 a^{-5} +15 z^9 a^{-7} +6 z^9 a^{-9} +4 z^8 a^{-2} +3 z^8 a^{-4} +z^8 a^{-6} +6 z^8 a^{-8} +4 z^8 a^{-10} +z^7 a^{-1} -15 z^7 a^{-3} -42 z^7 a^{-5} -32 z^7 a^{-7} -5 z^7 a^{-9} +z^7 a^{-11} -13 z^6 a^{-2} -37 z^6 a^{-4} -43 z^6 a^{-6} -18 z^6 a^{-8} +z^6 a^{-10} -3 z^5 a^{-1} +6 z^5 a^{-3} +23 z^5 a^{-5} +18 z^5 a^{-7} +11 z^5 a^{-9} +7 z^5 a^{-11} +14 z^4 a^{-2} +45 z^4 a^{-4} +44 z^4 a^{-6} +11 z^4 a^{-8} +z^4 a^{-10} +3 z^4 a^{-12} +3 z^3 a^{-1} +6 z^3 a^{-3} +4 z^3 a^{-5} -8 z^3 a^{-7} -17 z^3 a^{-9} -8 z^3 a^{-11} -6 z^2 a^{-2} -20 z^2 a^{-4} -14 z^2 a^{-6} -2 z^2 a^{-10} -2 z^2 a^{-12} -z a^{-1} -3 z a^{-3} -4 z a^{-5} +4 z a^{-7} +9 z a^{-9} +3 z a^{-11} + a^{-2} +4 a^{-4} -3 a^{-8} - a^{-10} }[/math] |
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