K12n117
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{12}-3 q^{11}+6 q^{10}-11 q^9+14 q^8-16 q^7+16 q^6-13 q^5+10 q^4-5 q^3+2 q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+11 t^2-22 t+27-22 t^{-1} +11 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-z^4+4 z^2+1 }[/math] |
| Determinant | 97 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-6} -z^6 a^{-8} +2 z^4 a^{-4} -z^4 a^{-6} -3 z^4 a^{-8} +z^4 a^{-10} +4 z^2 a^{-4} +3 z^2 a^{-6} -5 z^2 a^{-8} +2 z^2 a^{-10} + a^{-4} +3 a^{-6} -4 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} +3 z^8 a^{-8} +5 z^8 a^{-10} +4 z^8 a^{-12} +z^7 a^{-5} +2 z^7 a^{-7} -4 z^7 a^{-9} -2 z^7 a^{-11} +3 z^7 a^{-13} +3 z^6 a^{-6} +4 z^6 a^{-8} -9 z^6 a^{-10} -9 z^6 a^{-12} +z^6 a^{-14} +3 z^5 a^{-5} -z^5 a^{-9} -7 z^5 a^{-11} -9 z^5 a^{-13} +3 z^4 a^{-4} -7 z^4 a^{-6} -19 z^4 a^{-8} -2 z^4 a^{-10} +4 z^4 a^{-12} -3 z^4 a^{-14} -3 z^3 a^{-5} -6 z^3 a^{-7} -3 z^3 a^{-9} +8 z^3 a^{-11} +8 z^3 a^{-13} -4 z^2 a^{-4} +7 z^2 a^{-6} +16 z^2 a^{-8} +4 z^2 a^{-10} +z^2 a^{-12} +2 z^2 a^{-14} +4 z a^{-7} +2 z a^{-9} -4 z a^{-11} -2 z a^{-13} + a^{-4} -3 a^{-6} -4 a^{-8} - a^{-10} }[/math] |
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