K12n359
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^4-3 q^3+7 q^2-9 q+11-12 q^{-1} +10 q^{-2} -8 q^{-3} +5 q^{-4} -2 q^{-5} + q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 3 t^2-17 t+29-17 t^{-1} +3 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 3 z^4-5 z^2+1 }[/math] |
| Determinant | 69 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^6-2 z^2 a^4+z^4 a^2-2 z^2 a^2-2 a^2+2 z^4+2 z^2+2-3 z^2 a^{-2} - a^{-2} + a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+3 a^3 z^9+5 a z^9+2 z^9 a^{-1} +3 a^4 z^8+2 a^2 z^8+z^8 a^{-2} +2 a^5 z^7-10 a^3 z^7-19 a z^7-7 z^7 a^{-1} +a^6 z^6-9 a^4 z^6-15 a^2 z^6-z^6 a^{-2} -6 z^6-6 a^5 z^5+15 a^3 z^5+35 a z^5+17 z^5 a^{-1} +3 z^5 a^{-3} -4 a^6 z^4+7 a^4 z^4+26 a^2 z^4+5 z^4 a^{-2} +z^4 a^{-4} +19 z^4+3 a^5 z^3-16 a^3 z^3-29 a z^3-14 z^3 a^{-1} -4 z^3 a^{-3} +4 a^6 z^2-3 a^4 z^2-17 a^2 z^2-6 z^2 a^{-2} -2 z^2 a^{-4} -14 z^2+7 a^3 z+10 a z+4 z a^{-1} +z a^{-3} -a^6+2 a^2+ a^{-2} + a^{-4} +2 }[/math] |
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