K13n3398
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Polynomial invariants
| Jones polynomial | Data:K13n3398/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+14 t^2-21 t+23-21 t^{-1} +14 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3398/Conway Polynomial |
| Determinant | 105 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-6} -z^6 a^{-4} +5 z^6 a^{-6} -z^6 a^{-8} -2 z^4 a^{-4} +9 z^4 a^{-6} -3 z^4 a^{-8} +z^2 a^{-4} +7 z^2 a^{-6} -2 z^2 a^{-8} + a^{-4} + a^{-6} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-6} +z^{10} a^{-8} +z^9 a^{-5} +5 z^9 a^{-7} +4 z^9 a^{-9} +2 z^8 a^{-6} +9 z^8 a^{-8} +7 z^8 a^{-10} +3 z^7 a^{-5} +3 z^7 a^{-9} +6 z^7 a^{-11} +5 z^6 a^{-4} +3 z^6 a^{-6} -16 z^6 a^{-8} -11 z^6 a^{-10} +3 z^6 a^{-12} +z^5 a^{-3} -5 z^5 a^{-5} -13 z^5 a^{-7} -18 z^5 a^{-9} -10 z^5 a^{-11} +z^5 a^{-13} -7 z^4 a^{-4} -13 z^4 a^{-6} +7 z^4 a^{-8} +9 z^4 a^{-10} -4 z^4 a^{-12} -z^3 a^{-3} +z^3 a^{-5} +11 z^3 a^{-7} +19 z^3 a^{-9} +8 z^3 a^{-11} -2 z^3 a^{-13} +7 z^2 a^{-6} -6 z^2 a^{-10} +z^2 a^{-12} -z a^{-5} -2 z a^{-7} -6 z a^{-9} -4 z a^{-11} +z a^{-13} + a^{-4} - a^{-6} + a^{-10} }[/math] |
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