K13n2642
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2642/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+10 t^2-32 t+47-32 t^{-1} +10 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n2642/Conway Polynomial |
| Determinant | 133 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^8-4 z^2 a^6-3 a^6+4 z^4 a^4+7 z^2 a^4+4 a^4-z^6 a^2-2 z^4 a^2-5 z^2 a^2-3 a^2+2 z^4+2 z^2+2-z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+5 a^6 z^{10}+11 a^4 z^{10}+6 a^2 z^{10}+4 a^7 z^9+6 a^5 z^9+9 a^3 z^9+7 a z^9+a^8 z^8-16 a^6 z^8-33 a^4 z^8-12 a^2 z^8+4 z^8-17 a^7 z^7-50 a^5 z^7-53 a^3 z^7-19 a z^7+z^7 a^{-1} -4 a^8 z^6+3 a^6 z^6+5 a^4 z^6-8 a^2 z^6-6 z^6+23 a^7 z^5+69 a^5 z^5+60 a^3 z^5+18 a z^5+4 z^5 a^{-1} +6 a^8 z^4+22 a^6 z^4+36 a^4 z^4+22 a^2 z^4+4 z^4 a^{-2} +6 z^4-12 a^7 z^3-29 a^5 z^3-21 a^3 z^3-8 a z^3-3 z^3 a^{-1} +z^3 a^{-3} -4 a^8 z^2-16 a^6 z^2-23 a^4 z^2-14 a^2 z^2-2 z^2 a^{-2} -5 z^2+2 a^7 z+3 a^5 z+a^3 z+a^8+3 a^6+4 a^4+3 a^2+2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
