K12n169
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{13}-3 q^{12}+4 q^{11}-7 q^{10}+8 q^9-8 q^8+8 q^7-5 q^6+4 q^5-2 q^4+q^3 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-9 t^2+9 t-7+9 t^{-1} -9 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 4 z^6+15 z^4+9 z^2+1 }[/math] |
| Determinant | 51 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +2 z^6 a^{-8} +z^6 a^{-10} +4 z^4 a^{-6} +9 z^4 a^{-8} +3 z^4 a^{-10} -z^4 a^{-12} +3 z^2 a^{-6} +11 z^2 a^{-8} -z^2 a^{-10} -4 z^2 a^{-12} +5 a^{-8} -3 a^{-10} -2 a^{-12} + a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-10} +z^{10} a^{-12} +2 z^9 a^{-9} +4 z^9 a^{-11} +2 z^9 a^{-13} +3 z^8 a^{-8} -z^8 a^{-10} -3 z^8 a^{-12} +z^8 a^{-14} +2 z^7 a^{-7} -6 z^7 a^{-9} -19 z^7 a^{-11} -11 z^7 a^{-13} +z^6 a^{-6} -13 z^6 a^{-8} -9 z^6 a^{-10} +2 z^6 a^{-12} -3 z^6 a^{-14} -7 z^5 a^{-7} +2 z^5 a^{-9} +34 z^5 a^{-11} +28 z^5 a^{-13} +3 z^5 a^{-15} -4 z^4 a^{-6} +19 z^4 a^{-8} +23 z^4 a^{-10} +5 z^4 a^{-12} +6 z^4 a^{-14} +z^4 a^{-16} +4 z^3 a^{-7} +4 z^3 a^{-9} -22 z^3 a^{-11} -29 z^3 a^{-13} -7 z^3 a^{-15} +3 z^2 a^{-6} -16 z^2 a^{-8} -17 z^2 a^{-10} -4 z^2 a^{-14} -2 z^2 a^{-16} -3 z a^{-9} +6 z a^{-11} +12 z a^{-13} +3 z a^{-15} +5 a^{-8} +3 a^{-10} -2 a^{-12} - a^{-14} }[/math] |
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