K12n661
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^7+2 q^6-3 q^5+4 q^4-4 q^3+5 q^2-4 q+3-2 q^{-1} + q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+6 t^2-5 t+3-5 t^{-1} +6 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-6 z^4+z^2+1 }[/math] |
| Determinant | 29 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} -4 z^4 a^{-2} -4 z^4 a^{-4} +z^4 a^{-6} +z^4-3 z^2 a^{-2} -3 z^2 a^{-4} +4 z^2 a^{-6} +3 z^2- a^{-4} +2 a^{-6} - a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +2 z^9 a^{-1} +3 z^9 a^{-3} +z^9 a^{-5} -4 z^8 a^{-2} -5 z^8 a^{-4} +z^8-12 z^7 a^{-1} -16 z^7 a^{-3} -4 z^7 a^{-5} +z^6 a^{-2} +10 z^6 a^{-4} +3 z^6 a^{-6} -6 z^6+22 z^5 a^{-1} +26 z^5 a^{-3} +5 z^5 a^{-5} +z^5 a^{-7} +7 z^4 a^{-2} -15 z^4 a^{-4} -11 z^4 a^{-6} +11 z^4-13 z^3 a^{-1} -17 z^3 a^{-3} -6 z^3 a^{-5} -2 z^3 a^{-7} -4 z^2 a^{-2} +9 z^2 a^{-4} +9 z^2 a^{-6} +2 z^2 a^{-8} -6 z^2+2 z a^{-1} +4 z a^{-3} +2 z a^{-5} +z a^{-7} +z a^{-9} - a^{-4} -2 a^{-6} - a^{-8} +1 }[/math] |
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