K13n4084
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Polynomial invariants
| Jones polynomial | Data:K13n4084/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+3 t^2-2 t+1-2 t^{-1} +3 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n4084/Conway Polynomial |
| Determinant | 13 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-6} +2 z^4 a^{-4} -5 z^4 a^{-6} +7 z^2 a^{-4} -7 z^2 a^{-6} +z^2 a^{-10} +4 a^{-4} -3 a^{-6} - a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{-9} +z^9 a^{-11} +z^8 a^{-6} +z^8 a^{-8} +z^8 a^{-10} +z^8 a^{-12} +z^7 a^{-5} +z^7 a^{-7} -8 z^7 a^{-9} -8 z^7 a^{-11} -5 z^6 a^{-6} -6 z^6 a^{-8} -8 z^6 a^{-10} -7 z^6 a^{-12} -3 z^5 a^{-5} -3 z^5 a^{-7} +20 z^5 a^{-9} +20 z^5 a^{-11} +3 z^4 a^{-4} +11 z^4 a^{-6} +10 z^4 a^{-8} +16 z^4 a^{-10} +14 z^4 a^{-12} +3 z^3 a^{-5} +3 z^3 a^{-7} -19 z^3 a^{-9} -19 z^3 a^{-11} -9 z^2 a^{-4} -11 z^2 a^{-6} -z^2 a^{-8} -7 z^2 a^{-10} -8 z^2 a^{-12} -3 z a^{-5} +8 z a^{-9} +5 z a^{-11} +4 a^{-4} +3 a^{-6} - a^{-8} - a^{-10} }[/math] |
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