K13n296
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n296/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-3 t^3+5 t^2-5 t+5-5 t^{-1} +5 t^{-2} -3 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n296/Conway Polynomial |
| Determinant | 33 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +7 z^6 a^{-2} -2 z^6 a^{-4} -a^2 z^4+18 z^4 a^{-2} -10 z^4 a^{-4} +z^4 a^{-6} -z^4-2 a^2 z^2+22 z^2 a^{-2} -16 z^2 a^{-4} +3 z^2 a^{-6} -3 z^2-a^2+11 a^{-2} -9 a^{-4} +2 a^{-6} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +6 z^{10} a^{-4} +3 z^{10} a^{-6} +a z^9+2 z^9 a^{-1} +z^9 a^{-3} +3 z^9 a^{-5} +3 z^9 a^{-7} +2 a^2 z^8-20 z^8 a^{-2} -33 z^8 a^{-4} -13 z^8 a^{-6} +z^8 a^{-8} +z^8+a^3 z^7-4 a z^7-17 z^7 a^{-1} -36 z^7 a^{-3} -40 z^7 a^{-5} -16 z^7 a^{-7} -10 a^2 z^6+36 z^6 a^{-2} +50 z^6 a^{-4} +10 z^6 a^{-6} -5 z^6 a^{-8} -9 z^6-5 a^3 z^5-2 a z^5+33 z^5 a^{-1} +84 z^5 a^{-3} +80 z^5 a^{-5} +26 z^5 a^{-7} +12 a^2 z^4-34 z^4 a^{-2} -34 z^4 a^{-4} +3 z^4 a^{-6} +7 z^4 a^{-8} +8 z^4+7 a^3 z^3+7 a z^3-29 z^3 a^{-1} -74 z^3 a^{-3} -63 z^3 a^{-5} -18 z^3 a^{-7} -5 a^2 z^2+25 z^2 a^{-2} +20 z^2 a^{-4} -z^2 a^{-6} -3 z^2 a^{-8} +2 z^2-3 a^3 z-2 a z+11 z a^{-1} +25 z a^{-3} +20 z a^{-5} +5 z a^{-7} +a^2-11 a^{-2} -9 a^{-4} -2 a^{-6} -2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
