K12n740
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^4-4 q^3+9 q^2-13 q+17-18 q^{-1} +16 q^{-2} -13 q^{-3} +9 q^{-4} -4 q^{-5} + q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+10 t^2-24 t+33-24 t^{-1} +10 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-2 z^4-2 z^2+1 }[/math] |
| Determinant | 105 |
| 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} -2 z^4+a^4 z^2-2 a^2 z^2+z^2 a^{-2} -2 z^2+a^4-a^2+ a^{-2} }[/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^7-11 a^3 z^7-21 a z^7-6 z^7 a^{-1} +a^6 z^6-17 a^4 z^6-25 a^2 z^6+3 z^6 a^{-2} -4 z^6-9 a^5 z^5-a^3 z^5+15 a z^5+11 z^5 a^{-1} +4 z^5 a^{-3} -2 a^6 z^4+9 a^4 z^4+22 a^2 z^4-2 z^4 a^{-2} +z^4 a^{-4} +8 z^4+4 a^5 z^3+4 a^3 z^3+a z^3-3 z^3 a^{-1} -4 z^3 a^{-3} +a^6 z^2-4 a^4 z^2-8 a^2 z^2-z^2 a^{-4} -2 z^2-a^5 z-a^3 z-a z-z a^{-1} +a^4+a^2- a^{-2} }[/math] |
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