K13n1648
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Polynomial invariants
| Jones polynomial | Data:K13n1648/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+11 t^2-15 t+15-15 t^{-1} +11 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1648/Conway Polynomial |
| Determinant | 73 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-4} -z^6 a^{-6} +2 z^4 a^{-2} -8 z^4 a^{-4} -2 z^4 a^{-6} +z^4 a^{-8} +6 z^2 a^{-2} -9 z^2 a^{-4} +2 z^2 a^{-6} +3 z^2 a^{-8} +3 a^{-2} -4 a^{-4} +2 a^{-6} + a^{-8} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +z^9 a^{-3} +4 z^9 a^{-5} +3 z^9 a^{-7} -2 z^8 a^{-4} +2 z^8 a^{-6} +4 z^8 a^{-8} -z^7 a^{-3} -9 z^7 a^{-5} -5 z^7 a^{-7} +3 z^7 a^{-9} +3 z^6 a^{-2} +6 z^6 a^{-4} -5 z^6 a^{-6} -7 z^6 a^{-8} +z^6 a^{-10} -5 z^5 a^{-3} +3 z^5 a^{-5} +6 z^5 a^{-7} -2 z^5 a^{-9} -11 z^4 a^{-2} -21 z^4 a^{-4} -5 z^4 a^{-6} +9 z^4 a^{-8} +4 z^4 a^{-10} +6 z^3 a^{-3} -6 z^3 a^{-7} +3 z^3 a^{-9} +3 z^3 a^{-11} +11 z^2 a^{-2} +19 z^2 a^{-4} +7 z^2 a^{-6} -5 z^2 a^{-8} -4 z^2 a^{-10} -z a^{-3} -z a^{-5} +z a^{-7} -z a^{-9} -2 z a^{-11} -3 a^{-2} -4 a^{-4} -2 a^{-6} + a^{-8} + a^{-10} }[/math] |
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