K13n1605
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1605/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+8 t^2-13 t+15-13 t^{-1} +8 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1605/Conway Polynomial |
| Determinant | 61 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^8+z^4 a^6+3 z^2 a^6+2 a^6-z^6 a^4-3 z^4 a^4-2 z^2 a^4-a^4-z^6 a^2-3 z^4 a^2-2 z^2 a^2+z^4+2 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+2 a^6 z^{10}+5 a^4 z^{10}+3 a^2 z^{10}+a^7 z^9+2 a^3 z^9+3 a z^9-9 a^6 z^8-22 a^4 z^8-12 a^2 z^8+z^8-5 a^7 z^7-17 a^5 z^7-27 a^3 z^7-15 a z^7+12 a^6 z^6+24 a^4 z^6+7 a^2 z^6-5 z^6+9 a^7 z^5+31 a^5 z^5+44 a^3 z^5+22 a z^5-a^8 z^4-11 a^6 z^4-9 a^4 z^4+9 a^2 z^4+8 z^4-a^9 z^3-10 a^7 z^3-22 a^5 z^3-24 a^3 z^3-11 a z^3+3 a^8 z^2+7 a^6 z^2+3 a^4 z^2-6 a^2 z^2-5 z^2+2 a^9 z+4 a^7 z+5 a^5 z+5 a^3 z+2 a z-a^8-2 a^6-a^4+1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
