K13n4237
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n4237/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+10 t^2-20 t+25-20 t^{-1} +10 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4237/Conway Polynomial |
| Determinant | 89 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^8-a^8+2 z^4 a^6+4 z^2 a^6+a^6-z^6 a^4-2 z^4 a^4+a^4-z^6 a^2-3 z^4 a^2-3 z^2 a^2-a^2+z^4+2 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^7 z^{11}+2 a^5 z^{11}+3 a^8 z^{10}+9 a^6 z^{10}+6 a^4 z^{10}+a^9 z^9-6 a^7 z^9+a^5 z^9+8 a^3 z^9-18 a^8 z^8-47 a^6 z^8-22 a^4 z^8+7 a^2 z^8-6 a^9 z^7-10 a^7 z^7-38 a^5 z^7-30 a^3 z^7+4 a z^7+36 a^8 z^6+76 a^6 z^6+16 a^4 z^6-23 a^2 z^6+z^6+13 a^9 z^5+44 a^7 z^5+69 a^5 z^5+29 a^3 z^5-9 a z^5-27 a^8 z^4-44 a^6 z^4+19 a^2 z^4+2 z^4-12 a^9 z^3-37 a^7 z^3-39 a^5 z^3-13 a^3 z^3+4 a z^3+3 z^3 a^{-1} +7 a^8 z^2+10 a^6 z^2-a^4 z^2-8 a^2 z^2+z^2 a^{-2} -3 z^2+4 a^9 z+8 a^7 z+7 a^5 z+3 a^3 z-a z-z a^{-1} -a^8-a^6+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. |
