K13n2828
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2828/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+8 t^2-14 t+17-14 t^{-1} +8 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2828/Conway Polynomial |
| Determinant | 65 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^6+z^2 a^6-a^6-z^6 a^4-2 z^4 a^4+z^2 a^4+2 a^4-z^6 a^2-3 z^4 a^2-2 z^2 a^2-z^2-1+z^2 a^{-2} + a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+5 a^6 z^{10}+9 a^4 z^{10}+4 a^2 z^{10}+4 a^7 z^9-a^5 z^9-3 a^3 z^9+2 a z^9+a^8 z^8-23 a^6 z^8-45 a^4 z^8-21 a^2 z^8-19 a^7 z^7-31 a^5 z^7-25 a^3 z^7-12 a z^7+z^7 a^{-1} -4 a^8 z^6+27 a^6 z^6+60 a^4 z^6+26 a^2 z^6+z^6 a^{-2} -2 z^6+25 a^7 z^5+55 a^5 z^5+50 a^3 z^5+13 a z^5-7 z^5 a^{-1} +4 a^8 z^4-9 a^6 z^4-25 a^4 z^4-9 a^2 z^4-5 z^4 a^{-2} -2 z^4-10 a^7 z^3-27 a^5 z^3-25 a^3 z^3-a z^3+7 z^3 a^{-1} -a^8 z^2-a^6 z^2+a^2 z^2+4 z^2 a^{-2} +5 z^2+2 a^5 z+2 a^3 z-2 a z-2 z a^{-1} +a^6+2 a^4- 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. |
