K12n103
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{11}-3 q^{10}+4 q^9-6 q^8+7 q^7-7 q^6+7 q^5-5 q^4+4 q^3-2 q^2+q }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-6 t^2+8 t-9+8 t^{-1} -6 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^8-4 z^6-2 z^4+4 z^2+1 }[/math] |
| Determinant | 47 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} +z^6 a^{-4} -6 z^6 a^{-6} +z^6 a^{-8} +5 z^4 a^{-4} -11 z^4 a^{-6} +4 z^4 a^{-8} +7 z^2 a^{-4} -6 z^2 a^{-6} +3 z^2 a^{-8} +2 a^{-4} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-6} +z^{10} a^{-8} +2 z^9 a^{-5} +4 z^9 a^{-7} +2 z^9 a^{-9} +z^8 a^{-4} -2 z^8 a^{-6} -z^8 a^{-8} +2 z^8 a^{-10} -11 z^7 a^{-5} -18 z^7 a^{-7} -5 z^7 a^{-9} +2 z^7 a^{-11} -6 z^6 a^{-4} -8 z^6 a^{-6} -6 z^6 a^{-8} -3 z^6 a^{-10} +z^6 a^{-12} +18 z^5 a^{-5} +23 z^5 a^{-7} +z^5 a^{-9} -4 z^5 a^{-11} +12 z^4 a^{-4} +19 z^4 a^{-6} +4 z^4 a^{-8} -3 z^4 a^{-10} -8 z^3 a^{-5} -11 z^3 a^{-7} -2 z^3 a^{-9} +4 z^3 a^{-11} +3 z^3 a^{-13} -9 z^2 a^{-4} -8 z^2 a^{-6} +2 z^2 a^{-8} +z^2 a^{-10} +z^2 a^{-12} +z^2 a^{-14} +3 z a^{-7} +z a^{-9} -3 z a^{-11} -z a^{-13} +2 a^{-4} - a^{-8} }[/math] |
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