K13n3062
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3062/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+13 t^2-32 t+43-32 t^{-1} +13 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3062/Conway Polynomial |
| Determinant | 137 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^6+z^2 a^6-z^6 a^4-2 z^4 a^4-3 z^2 a^4-2 a^4-z^6 a^2+4 z^2 a^2+4 a^2+2 z^4+z^2-1-z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+5 a^6 z^{10}+12 a^4 z^{10}+7 a^2 z^{10}+4 a^7 z^9+6 a^5 z^9+11 a^3 z^9+9 a z^9+a^8 z^8-18 a^6 z^8-41 a^4 z^8-17 a^2 z^8+5 z^8-18 a^7 z^7-51 a^5 z^7-63 a^3 z^7-29 a z^7+z^7 a^{-1} -4 a^8 z^6+14 a^6 z^6+33 a^4 z^6+6 a^2 z^6-9 z^6+26 a^7 z^5+76 a^5 z^5+83 a^3 z^5+38 a z^5+5 z^5 a^{-1} +5 a^8 z^4+3 a^6 z^4-8 a^4 z^4-2 a^2 z^4+4 z^4 a^{-2} +8 z^4-13 a^7 z^3-40 a^5 z^3-47 a^3 z^3-26 a z^3-5 z^3 a^{-1} +z^3 a^{-3} -2 a^8 z^2-3 a^6 z^2+5 a^4 z^2+7 a^2 z^2-2 z^2 a^{-2} -z^2+a^7 z+7 a^5 z+11 a^3 z+7 a z+2 z a^{-1} -2 a^4-4 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. |
