K12n102
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{11}-2 q^{10}+2 q^9-2 q^8-q^7+3 q^6-4 q^5+6 q^4-5 q^3+5 q^2-3 q+1 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+4 t^2-4 t+3-4 t^{-1} +4 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-2 z^4+3 z^2+1 }[/math] |
| Determinant | 21 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} +z^4 a^{-2} -3 z^4 a^{-4} +z^4 a^{-6} -z^4 a^{-8} +2 z^2 a^{-2} +3 z^2 a^{-6} -3 z^2 a^{-8} +z^2 a^{-10} +2 a^{-4} + a^{-6} -3 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +z^9 a^{-5} +2 z^9 a^{-7} +3 z^9 a^{-9} +2 z^9 a^{-11} +3 z^8 a^{-4} +3 z^8 a^{-6} -6 z^8 a^{-8} -5 z^8 a^{-10} +z^8 a^{-12} +3 z^7 a^{-3} -z^7 a^{-5} -14 z^7 a^{-7} -23 z^7 a^{-9} -13 z^7 a^{-11} +z^6 a^{-2} -10 z^6 a^{-4} -14 z^6 a^{-6} +4 z^6 a^{-8} +z^6 a^{-10} -6 z^6 a^{-12} -10 z^5 a^{-3} -5 z^5 a^{-5} +29 z^5 a^{-7} +49 z^5 a^{-9} +25 z^5 a^{-11} -3 z^4 a^{-2} +7 z^4 a^{-4} +18 z^4 a^{-6} +9 z^4 a^{-8} +11 z^4 a^{-10} +10 z^4 a^{-12} +6 z^3 a^{-3} +z^3 a^{-5} -25 z^3 a^{-7} -39 z^3 a^{-9} -19 z^3 a^{-11} +2 z^2 a^{-2} -5 z^2 a^{-4} -8 z^2 a^{-6} -2 z^2 a^{-8} -6 z^2 a^{-10} -5 z^2 a^{-12} +z a^{-5} +10 z a^{-7} +14 z a^{-9} +5 z a^{-11} +2 a^{-4} - a^{-6} -3 a^{-8} - a^{-10} }[/math] |
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