K13n1896
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1896/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-17 t^2+43 t-57+43 t^{-1} -17 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1896/Conway Polynomial |
| Determinant | 183 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8-3 z^4 a^6-4 z^2 a^6-2 a^6+2 z^6 a^4+5 z^4 a^4+7 z^2 a^4+4 a^4+z^6 a^2-2 z^2 a^2-2 a^2-z^4+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+5 a^6 z^{10}+7 a^4 z^{10}+2 a^2 z^{10}+10 a^7 z^9+17 a^5 z^9+8 a^3 z^9+a z^9+10 a^8 z^8+12 a^6 z^8+5 a^4 z^8+3 a^2 z^8+5 a^9 z^7-11 a^7 z^7-31 a^5 z^7-10 a^3 z^7+5 a z^7+a^{10} z^6-20 a^8 z^6-50 a^6 z^6-37 a^4 z^6-3 a^2 z^6+5 z^6-9 a^9 z^5-13 a^7 z^5+3 a^5 z^5+a^3 z^5-5 a z^5+z^5 a^{-1} -a^{10} z^4+11 a^8 z^4+45 a^6 z^4+44 a^4 z^4+5 a^2 z^4-6 z^4+4 a^9 z^3+15 a^7 z^3+16 a^5 z^3+6 a^3 z^3-z^3 a^{-1} -3 a^8 z^2-17 a^6 z^2-21 a^4 z^2-7 a^2 z^2-4 a^7 z-6 a^5 z-2 a^3 z+2 a^6+4 a^4+2 a^2+1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
