K12n93
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{12}-2 q^{11}+2 q^{10}-2 q^9+q^7-2 q^6+4 q^5-4 q^4+4 q^3-2 q^2+q }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-4 t^2-t+5- t^{-1} -4 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^8-4 z^6+3 z^2+1 }[/math] |
| Determinant | 11 |
| 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} +6 z^4 a^{-8} +7 z^2 a^{-4} -9 z^2 a^{-6} +8 z^2 a^{-8} -3 z^2 a^{-10} +3 a^{-4} -3 a^{-6} +3 a^{-8} -3 a^{-10} + a^{-12} }[/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} -3 z^8 a^{-8} +z^8 a^{-10} +z^8 a^{-12} -11 z^7 a^{-5} -23 z^7 a^{-7} -13 z^7 a^{-9} +z^7 a^{-11} +2 z^7 a^{-13} -6 z^6 a^{-4} -12 z^6 a^{-6} -10 z^6 a^{-8} -9 z^6 a^{-10} -4 z^6 a^{-12} +z^6 a^{-14} +17 z^5 a^{-5} +35 z^5 a^{-7} +19 z^5 a^{-9} -8 z^5 a^{-11} -9 z^5 a^{-13} +12 z^4 a^{-4} +29 z^4 a^{-6} +27 z^4 a^{-8} +15 z^4 a^{-10} +z^4 a^{-12} -4 z^4 a^{-14} -8 z^3 a^{-5} -18 z^3 a^{-7} -9 z^3 a^{-9} +10 z^3 a^{-11} +9 z^3 a^{-13} -10 z^2 a^{-4} -18 z^2 a^{-6} -16 z^2 a^{-8} -11 z^2 a^{-10} +3 z^2 a^{-14} +4 z a^{-7} +2 z a^{-9} -5 z a^{-11} -3 z a^{-13} +3 a^{-4} +3 a^{-6} +3 a^{-8} +3 a^{-10} + a^{-12} }[/math] |
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