K13n280
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Polynomial invariants
| Jones polynomial | Data:K13n280/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+9 t^2-10 t+9-10 t^{-1} +9 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n280/Conway Polynomial |
| Determinant | 53 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -z^6 a^{-6} -z^6 a^{-8} +z^4 a^{-2} -4 z^4 a^{-4} -3 z^4 a^{-6} -4 z^4 a^{-8} +z^4 a^{-10} +4 z^2 a^{-2} -4 z^2 a^{-4} -z^2 a^{-6} -4 z^2 a^{-8} +4 z^2 a^{-10} +3 a^{-2} -2 a^{-4} -2 a^{-8} +3 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +z^{10} a^{-6} +3 z^{10} a^{-8} +2 z^{10} a^{-10} +z^9 a^{-5} -6 z^9 a^{-7} -6 z^9 a^{-9} +z^9 a^{-11} +z^8 a^{-4} -4 z^8 a^{-6} -19 z^8 a^{-8} -14 z^8 a^{-10} +z^7 a^{-3} -3 z^7 a^{-5} +16 z^7 a^{-7} +16 z^7 a^{-9} -4 z^7 a^{-11} +z^6 a^{-2} -2 z^6 a^{-4} +6 z^6 a^{-6} +47 z^6 a^{-8} +41 z^6 a^{-10} +3 z^6 a^{-12} -3 z^5 a^{-3} +3 z^5 a^{-5} -21 z^5 a^{-7} -21 z^5 a^{-9} +7 z^5 a^{-11} +z^5 a^{-13} -5 z^4 a^{-2} -3 z^4 a^{-4} -2 z^4 a^{-6} -47 z^4 a^{-8} -53 z^4 a^{-10} -10 z^4 a^{-12} -3 z^3 a^{-5} +19 z^3 a^{-7} +19 z^3 a^{-9} -6 z^3 a^{-11} -3 z^3 a^{-13} +7 z^2 a^{-2} +5 z^2 a^{-4} -z^2 a^{-6} +21 z^2 a^{-8} +27 z^2 a^{-10} +7 z^2 a^{-12} +2 z a^{-3} +z a^{-5} -7 z a^{-7} -7 z a^{-9} +z a^{-13} -3 a^{-2} -2 a^{-4} -2 a^{-8} -3 a^{-10} - a^{-12} }[/math] |
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