K13n1651
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1651/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-7 t^2+7 t-5+7 t^{-1} -7 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1651/Conway Polynomial |
| Determinant | 39 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^6+2 z^6-a^4 z^4+3 a^2 z^4-z^4 a^{-2} +10 z^4-3 a^4 z^2+a^2 z^2-5 z^2 a^{-2} -z^2 a^{-4} +14 z^2-2 a^4-4 a^{-2} +7 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^4 z^{10}+5 a^2 z^{10}+3 z^{10}+a^5 z^9-a^3 z^9+a z^9+3 z^9 a^{-1} -12 a^4 z^8-26 a^2 z^8+z^8 a^{-2} -13 z^8-7 a^5 z^7-19 a^3 z^7-28 a z^7-16 z^7 a^{-1} +23 a^4 z^6+33 a^2 z^6-8 z^6 a^{-2} +z^6 a^{-4} +z^6+18 a^5 z^5+51 a^3 z^5+50 a z^5+14 z^5 a^{-1} -2 z^5 a^{-3} +z^5 a^{-5} -16 a^4 z^4-3 a^2 z^4+11 z^4 a^{-2} -5 z^4 a^{-4} +29 z^4-20 a^5 z^3-44 a^3 z^3-23 a z^3+5 z^3 a^{-1} -4 z^3 a^{-5} +4 a^4 z^2-8 a^2 z^2-10 z^2 a^{-2} +2 z^2 a^{-4} -24 z^2+8 a^5 z+13 a^3 z+3 a z-5 z a^{-1} -z a^{-3} +2 z a^{-5} -2 a^4+4 a^{-2} +7 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |