K12n441
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{12}-4 q^{11}+8 q^{10}-12 q^9+14 q^8-16 q^7+15 q^6-11 q^5+8 q^4-3 q^3+q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+9 t^2-22 t+29-22 t^{-1} +9 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6+3 z^4+5 z^2+1 }[/math] |
| Determinant | 93 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-8} +z^4 a^{-4} +4 z^4 a^{-6} -3 z^4 a^{-8} +z^4 a^{-10} +z^2 a^{-4} +9 z^2 a^{-6} -6 z^2 a^{-8} +z^2 a^{-10} +5 a^{-6} -5 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +z^9 a^{-7} +5 z^9 a^{-9} +4 z^9 a^{-11} +z^8 a^{-8} +7 z^8 a^{-10} +6 z^8 a^{-12} +2 z^7 a^{-7} -5 z^7 a^{-9} -3 z^7 a^{-11} +4 z^7 a^{-13} +7 z^6 a^{-6} +5 z^6 a^{-8} -17 z^6 a^{-10} -14 z^6 a^{-12} +z^6 a^{-14} +3 z^5 a^{-5} +2 z^5 a^{-7} -3 z^5 a^{-9} -12 z^5 a^{-11} -10 z^5 a^{-13} +z^4 a^{-4} -11 z^4 a^{-6} -14 z^4 a^{-8} +5 z^4 a^{-10} +5 z^4 a^{-12} -2 z^4 a^{-14} -2 z^3 a^{-5} -5 z^3 a^{-7} +2 z^3 a^{-9} +11 z^3 a^{-11} +6 z^3 a^{-13} -z^2 a^{-4} +11 z^2 a^{-6} +14 z^2 a^{-8} +2 z^2 a^{-10} +z^2 a^{-12} +z^2 a^{-14} +4 z a^{-7} +2 z a^{-9} -3 z a^{-11} -z a^{-13} -5 a^{-6} -5 a^{-8} - a^{-10} }[/math] |
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