K13n2699
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2699/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+14 t^2-16 t+15-16 t^{-1} +14 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2699/Conway Polynomial |
| Determinant | 89 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+z^4 a^8+5 z^2 a^8+4 a^8-2 z^6 a^6-9 z^4 a^6-12 z^2 a^6-7 a^6+z^8 a^4+5 z^6 a^4+9 z^4 a^4+10 z^2 a^4+5 a^4-z^6 a^2-3 z^4 a^2-z^2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^3 a^{11}-z a^{11}+3 z^4 a^{10}-2 z^2 a^{10}+a^{10}+2 z^7 a^9-3 z^5 a^9+5 z^3 a^9-2 z a^9+z^{10} a^8-2 z^8 a^8-z^6 a^8+13 z^4 a^8-13 z^2 a^8+4 a^8+z^{11} a^7-z^9 a^7-5 z^7 a^7+11 z^5 a^7-4 z^3 a^7-2 z a^7+5 z^{10} a^6-16 z^8 a^6+6 z^6 a^6+23 z^4 a^6-26 z^2 a^6+7 a^6+z^{11} a^5+5 z^9 a^5-31 z^7 a^5+38 z^5 a^5-14 z^3 a^5+4 z^{10} a^4-10 z^8 a^4-8 z^6 a^4+26 z^4 a^4-18 z^2 a^4+5 a^4+6 z^9 a^3-23 z^7 a^3+21 z^5 a^3-5 z^3 a^3+z a^3+4 z^8 a^2-15 z^6 a^2+13 z^4 a^2-3 z^2 a^2+z^7 a-3 z^5 a+z^3 a }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
