K13n3428
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3428/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-3 t^3+7 t^2-13 t+17-13 t^{-1} +7 t^{-2} -3 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3428/Conway Polynomial |
| Determinant | 65 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+6 a^2 z^6-4 a^4 z^4+13 a^2 z^4-z^4 a^{-2} +z^4-6 a^4 z^2+12 a^2 z^2-3 z^2 a^{-2} +z^2-3 a^4+5 a^2- a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+4 a^4 z^{10}+5 a^2 z^{10}+z^{10}+5 a^5 z^9+3 a^3 z^9-2 a z^9+3 a^6 z^8-15 a^4 z^8-24 a^2 z^8+z^8 a^{-2} -5 z^8+a^7 z^7-20 a^5 z^7-29 a^3 z^7-10 a z^7-z^7 a^{-1} +z^7 a^{-3} -11 a^6 z^6+15 a^4 z^6+36 a^2 z^6-8 z^6 a^{-2} +2 z^6-4 a^7 z^5+22 a^5 z^5+48 a^3 z^5+26 a z^5-2 z^5 a^{-1} -6 z^5 a^{-3} +9 a^6 z^4-14 a^4 z^4-26 a^2 z^4+14 z^4 a^{-2} +11 z^4+4 a^7 z^3-14 a^5 z^3-34 a^3 z^3-15 a z^3+9 z^3 a^{-1} +8 z^3 a^{-3} -2 a^6 z^2+10 a^4 z^2+15 a^2 z^2-8 z^2 a^{-2} -5 z^2-a^7 z+4 a^5 z+9 a^3 z+3 a z-4 z a^{-1} -3 z a^{-3} -3 a^4-5 a^2+ a^{-2} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
