K12n179
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{11}-2 q^{10}+2 q^9-2 q^8+2 q^6-3 q^5+4 q^4-4 q^3+4 q^2-2 q+1 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+3 t^2-2 t+1-2 t^{-1} +3 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-3 z^4+z^2+1 }[/math] |
| Determinant | 13 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} +z^4 a^{-2} -4 z^4 a^{-4} +z^4 a^{-6} -z^4 a^{-8} +3 z^2 a^{-2} -4 z^2 a^{-4} +4 z^2 a^{-6} -3 z^2 a^{-8} +z^2 a^{-10} +2 a^{-2} -2 a^{-4} +3 a^{-6} -3 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +z^9 a^{-7} +3 z^9 a^{-9} +2 z^9 a^{-11} +z^8 a^{-4} -7 z^8 a^{-8} -5 z^8 a^{-10} +z^8 a^{-12} +2 z^7 a^{-3} +3 z^7 a^{-5} -8 z^7 a^{-7} -22 z^7 a^{-9} -13 z^7 a^{-11} +z^6 a^{-2} +3 z^6 a^{-6} +12 z^6 a^{-8} +2 z^6 a^{-10} -6 z^6 a^{-12} -7 z^5 a^{-3} -9 z^5 a^{-5} +18 z^5 a^{-7} +45 z^5 a^{-9} +25 z^5 a^{-11} -4 z^4 a^{-2} -10 z^4 a^{-4} -12 z^4 a^{-6} -8 z^4 a^{-8} +8 z^4 a^{-10} +10 z^4 a^{-12} +5 z^3 a^{-3} +3 z^3 a^{-5} -16 z^3 a^{-7} -32 z^3 a^{-9} -18 z^3 a^{-11} +5 z^2 a^{-2} +9 z^2 a^{-4} +10 z^2 a^{-6} +8 z^2 a^{-8} -3 z^2 a^{-10} -5 z^2 a^{-12} +5 z a^{-7} +9 z a^{-9} +4 z a^{-11} -2 a^{-2} -2 a^{-4} -3 a^{-6} -3 a^{-8} - a^{-10} }[/math] |
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