K12n155
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{12}-3 q^{11}+6 q^{10}-10 q^9+13 q^8-15 q^7+14 q^6-12 q^5+9 q^4-4 q^3+2 q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+10 t^2-20 t+25-20 t^{-1} +10 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-2 z^4+2 z^2+1 }[/math] |
| Determinant | 89 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-6} -z^6 a^{-8} +2 z^4 a^{-4} -2 z^4 a^{-6} -3 z^4 a^{-8} +z^4 a^{-10} +5 z^2 a^{-4} -z^2 a^{-6} -4 z^2 a^{-8} +2 z^2 a^{-10} +3 a^{-4} - a^{-6} -2 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +2 z^9 a^{-7} +5 z^9 a^{-9} +3 z^9 a^{-11} +2 z^8 a^{-6} +2 z^8 a^{-8} +4 z^8 a^{-10} +4 z^8 a^{-12} +z^7 a^{-5} -z^7 a^{-7} -9 z^7 a^{-9} -4 z^7 a^{-11} +3 z^7 a^{-13} -z^6 a^{-6} -10 z^6 a^{-10} -10 z^6 a^{-12} +z^6 a^{-14} +z^5 a^{-5} +4 z^5 a^{-7} +11 z^5 a^{-9} -z^5 a^{-11} -9 z^5 a^{-13} +3 z^4 a^{-4} +3 z^4 a^{-6} -5 z^4 a^{-8} +4 z^4 a^{-10} +6 z^4 a^{-12} -3 z^4 a^{-14} -4 z^3 a^{-7} -12 z^3 a^{-9} -z^3 a^{-11} +7 z^3 a^{-13} -6 z^2 a^{-4} -3 z^2 a^{-6} +6 z^2 a^{-8} -z^2 a^{-12} +2 z^2 a^{-14} -2 z a^{-5} +z a^{-7} +5 z a^{-9} +z a^{-11} -z a^{-13} +3 a^{-4} + a^{-6} -2 a^{-8} - a^{-10} }[/math] |
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