K13n2336
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Polynomial invariants
| Jones polynomial | Data:K13n2336/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-13 t^2+33 t-43+33 t^{-1} -13 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2336/Conway Polynomial |
| Determinant | 139 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} +2 z^4 a^{-4} -z^4 a^{-6} -2 z^4+a^2 z^2-3 z^2 a^{-2} +4 z^2 a^{-4} -z^2 a^{-6} -2 z^2+a^2-2 a^{-2} +3 a^{-4} - a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +4 z^{10} a^{-2} +6 z^{10} a^{-4} +2 z^{10} a^{-6} +6 z^9 a^{-1} +9 z^9 a^{-3} +4 z^9 a^{-5} +z^9 a^{-7} -3 z^8 a^{-2} -10 z^8 a^{-4} -2 z^8 a^{-6} +5 z^8+3 a z^7-12 z^7 a^{-1} -30 z^7 a^{-3} -13 z^7 a^{-5} +2 z^7 a^{-7} +a^2 z^6-5 z^6 a^{-2} +3 z^6 a^{-4} +2 z^6 a^{-6} +4 z^6 a^{-8} -9 z^6-7 a z^5+11 z^5 a^{-1} +44 z^5 a^{-3} +21 z^5 a^{-5} -4 z^5 a^{-7} +z^5 a^{-9} -3 a^2 z^4+8 z^4 a^{-2} +14 z^4 a^{-4} +3 z^4 a^{-6} -7 z^4 a^{-8} +z^4+4 a z^3-13 z^3 a^{-1} -31 z^3 a^{-3} -11 z^3 a^{-5} +z^3 a^{-7} -2 z^3 a^{-9} +3 a^2 z^2-9 z^2 a^{-2} -12 z^2 a^{-4} -3 z^2 a^{-6} +z^2 a^{-8} +2 z^2+4 z a^{-1} +7 z a^{-3} +3 z a^{-5} -a^2+2 a^{-2} +3 a^{-4} + a^{-6} }[/math] |
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