K12n534
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^4-5 q^3+10 q^2-14 q+18-18 q^{-1} +17 q^{-2} -13 q^{-3} +8 q^{-4} -4 q^{-5} + q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+11 t^2-25 t+33-25 t^{-1} +11 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-z^4+z^2+1 }[/math] |
| Determinant | 109 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^6-z^6+a^4 z^4-2 a^2 z^4+z^4 a^{-2} -z^4+a^4 z^2-2 a^2 z^2+2 z^2-a^2- a^{-2} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^2 z^{10}+2 z^{10}+6 a^3 z^9+9 a z^9+3 z^9 a^{-1} +7 a^4 z^8+6 a^2 z^8+z^8 a^{-2} +4 a^5 z^7-12 a^3 z^7-20 a z^7-4 z^7 a^{-1} +a^6 z^6-19 a^4 z^6-23 a^2 z^6+6 z^6 a^{-2} +3 z^6-10 a^5 z^5+3 a^3 z^5+20 a z^5+12 z^5 a^{-1} +5 z^5 a^{-3} -2 a^6 z^4+14 a^4 z^4+19 a^2 z^4-6 z^4 a^{-2} +z^4 a^{-4} -4 z^4+5 a^5 z^3+2 a^3 z^3-11 a z^3-11 z^3 a^{-1} -3 z^3 a^{-3} -3 a^4 z^2-6 a^2 z^2-3 z^2+a z+z a^{-1} +a^2+ a^{-2} +3 }[/math] |
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