K13n3644
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Polynomial invariants
| Jones polynomial | Data:K13n3644/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-6 t^2+18 t-25+18 t^{-1} -6 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n3644/Conway Polynomial |
| Determinant | 75 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} -z^4 a^{-4} +3 z^4 a^{-6} -2 z^4 a^{-8} +z^2 a^{-2} +4 z^2 a^{-6} -3 z^2 a^{-8} +z^2 a^{-10} + a^{-2} + a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +4 z^{10} a^{-6} +9 z^{10} a^{-8} +5 z^{10} a^{-10} +2 z^9 a^{-5} -3 z^9 a^{-7} -z^9 a^{-9} +4 z^9 a^{-11} -20 z^8 a^{-6} -44 z^8 a^{-8} -23 z^8 a^{-10} +z^8 a^{-12} -9 z^7 a^{-5} -20 z^7 a^{-7} -30 z^7 a^{-9} -19 z^7 a^{-11} +z^6 a^{-4} +30 z^6 a^{-6} +60 z^6 a^{-8} +27 z^6 a^{-10} -4 z^6 a^{-12} +10 z^5 a^{-5} +38 z^5 a^{-7} +53 z^5 a^{-9} +25 z^5 a^{-11} -4 z^4 a^{-4} -22 z^4 a^{-6} -30 z^4 a^{-8} -8 z^4 a^{-10} +4 z^4 a^{-12} -4 z^3 a^{-5} -19 z^3 a^{-7} -25 z^3 a^{-9} -10 z^3 a^{-11} +z^2 a^{-2} +2 z^2 a^{-4} +8 z^2 a^{-6} +7 z^2 a^{-8} -z^2 a^{-10} -z^2 a^{-12} +3 z a^{-7} +3 z a^{-9} - a^{-2} - a^{-6} - a^{-8} }[/math] |
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