K13n3567
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Polynomial invariants
| Jones polynomial | Data:K13n3567/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+3 t^3-5 t^2+8 t-9+8 t^{-1} -5 t^{-2} +3 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3567/Conway Polynomial |
| Determinant | 43 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} -6 z^6 a^{-4} +z^6 a^{-6} -z^4 a^{-2} -11 z^4 a^{-4} +4 z^4 a^{-6} +z^4-3 z^2 a^{-2} -5 z^2 a^{-4} +4 z^2 a^{-6} +3 z^2-2 a^{-2} + a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +z^9 a^{-1} +z^9 a^{-3} +3 z^9 a^{-5} +3 z^9 a^{-7} -6 z^8 a^{-4} -z^8 a^{-6} +4 z^8 a^{-8} +z^8-8 z^7 a^{-1} -9 z^7 a^{-3} -14 z^7 a^{-5} -10 z^7 a^{-7} +3 z^7 a^{-9} -4 z^6 a^{-2} +12 z^6 a^{-4} -6 z^6 a^{-6} -14 z^6 a^{-8} +z^6 a^{-10} -7 z^6+18 z^5 a^{-1} +24 z^5 a^{-3} +23 z^5 a^{-5} +7 z^5 a^{-7} -10 z^5 a^{-9} +14 z^4 a^{-2} -5 z^4 a^{-4} +9 z^4 a^{-6} +11 z^4 a^{-8} -3 z^4 a^{-10} +14 z^4-13 z^3 a^{-1} -19 z^3 a^{-3} -12 z^3 a^{-5} +6 z^3 a^{-9} -12 z^2 a^{-2} -z^2 a^{-4} -2 z^2 a^{-6} -3 z^2 a^{-8} +z^2 a^{-10} -9 z^2+2 z a^{-1} +4 z a^{-3} +2 z a^{-5} -z a^{-7} -z a^{-9} +2 a^{-2} + a^{-4} +2 }[/math] |
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