K12n589
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{12}-4 q^{11}+8 q^{10}-13 q^9+17 q^8-19 q^7+18 q^6-15 q^5+11 q^4-5 q^3+2 q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+12 t^2-26 t+33-26 t^{-1} +12 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6+4 z^2+1 }[/math] |
| Determinant | 113 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-6} -z^6 a^{-8} +2 z^4 a^{-4} -z^4 a^{-6} -2 z^4 a^{-8} +z^4 a^{-10} +4 z^2 a^{-4} +z^2 a^{-6} -2 z^2 a^{-8} +z^2 a^{-10} +2 a^{-4} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-8} +2 z^{10} a^{-10} +4 z^9 a^{-7} +10 z^9 a^{-9} +6 z^9 a^{-11} +3 z^8 a^{-6} +3 z^8 a^{-8} +7 z^8 a^{-10} +7 z^8 a^{-12} +z^7 a^{-5} -7 z^7 a^{-7} -24 z^7 a^{-9} -12 z^7 a^{-11} +4 z^7 a^{-13} -2 z^6 a^{-6} -9 z^6 a^{-8} -27 z^6 a^{-10} -19 z^6 a^{-12} +z^6 a^{-14} +3 z^5 a^{-5} +15 z^5 a^{-7} +26 z^5 a^{-9} +4 z^5 a^{-11} -10 z^5 a^{-13} +3 z^4 a^{-4} +4 z^4 a^{-6} +9 z^4 a^{-8} +24 z^4 a^{-10} +14 z^4 a^{-12} -2 z^4 a^{-14} -3 z^3 a^{-5} -14 z^3 a^{-7} -16 z^3 a^{-9} +5 z^3 a^{-13} -5 z^2 a^{-4} -3 z^2 a^{-6} -2 z^2 a^{-8} -7 z^2 a^{-10} -3 z^2 a^{-12} +4 z a^{-7} +4 z a^{-9} +2 a^{-4} - a^{-8} }[/math] |
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