K12n655
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^{13}+q^{12}-q^{11}+q^{10}-q^8+q^7-q^6+2 q^5-q^4+q^3 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-2 t^2-t+3- t^{-1} -2 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+10 z^4+9 z^2+1 }[/math] |
| Determinant | 3 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +z^6 a^{-8} +5 z^4 a^{-6} +5 z^4 a^{-8} +6 z^2 a^{-6} +5 z^2 a^{-8} -z^2 a^{-10} -z^2 a^{-12} +2 a^{-6} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^8 a^{-8} +z^8 a^{-14} +z^7 a^{-7} +z^7 a^{-9} +z^7 a^{-13} +z^7 a^{-15} +z^6 a^{-6} -5 z^6 a^{-8} -6 z^6 a^{-14} -4 z^5 a^{-7} -5 z^5 a^{-9} -z^5 a^{-11} -6 z^5 a^{-13} -6 z^5 a^{-15} -5 z^4 a^{-6} +6 z^4 a^{-8} -z^4 a^{-10} -2 z^4 a^{-12} +10 z^4 a^{-14} +2 z^3 a^{-7} +5 z^3 a^{-9} +z^3 a^{-11} +8 z^3 a^{-13} +10 z^3 a^{-15} +6 z^2 a^{-6} -2 z^2 a^{-8} +3 z^2 a^{-12} -5 z^2 a^{-14} +z a^{-7} -z a^{-9} -2 z a^{-13} -4 z a^{-15} -2 a^{-6} - a^{-12} }[/math] |
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