K13n3622
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3622/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-13 t^2+29 t-37+29 t^{-1} -13 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3622/Conway Polynomial |
| Determinant | 127 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^{10}+a^{10}-3 z^4 a^8-7 z^2 a^8-4 a^8+2 z^6 a^6+7 z^4 a^6+9 z^2 a^6+3 a^6+z^6 a^4+2 z^4 a^4+2 z^2 a^4+a^4-z^4 a^2-z^2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^8 a^{12}-4 z^6 a^{12}+5 z^4 a^{12}-2 z^2 a^{12}+4 z^9 a^{11}-18 z^7 a^{11}+25 z^5 a^{11}-11 z^3 a^{11}+z a^{11}+5 z^{10} a^{10}-19 z^8 a^{10}+16 z^6 a^{10}+4 z^4 a^{10}-3 z^2 a^{10}-a^{10}+2 z^{11} a^9+3 z^9 a^9-37 z^7 a^9+54 z^5 a^9-25 z^3 a^9+5 z a^9+10 z^{10} a^8-34 z^8 a^8+29 z^6 a^8-12 z^4 a^8+10 z^2 a^8-4 a^8+2 z^{11} a^7+4 z^9 a^7-28 z^7 a^7+27 z^5 a^7-13 z^3 a^7+3 z a^7+5 z^{10} a^6-11 z^8 a^6+9 z^6 a^6-18 z^4 a^6+13 z^2 a^6-3 a^6+5 z^9 a^5-8 z^7 a^5+2 z^5 a^5-z^3 a^5-z a^5+3 z^8 a^4-3 z^4 a^4+z^2 a^4+a^4+z^7 a^3+4 z^5 a^3-z^3 a^3+4 z^4 a^2-z^2 a^2+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. |
