K13n2185
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2185/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+8 t^3-26 t^2+52 t-65+52 t^{-1} -26 t^{-2} +8 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2185/Conway Polynomial |
| Determinant | 239 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^8-2 z^4 a^6-2 z^2 a^6+3 z^6 a^4+9 z^4 a^4+9 z^2 a^4+2 a^4-z^8 a^2-4 z^6 a^2-7 z^4 a^2-4 z^2 a^2+z^6+2 z^4+z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+7 a^6 z^{10}+15 a^4 z^{10}+8 a^2 z^{10}+8 a^7 z^9+22 a^5 z^9+27 a^3 z^9+13 a z^9+3 a^8 z^8-2 a^6 z^8-7 a^4 z^8+9 a^2 z^8+11 z^8-14 a^7 z^7-54 a^5 z^7-64 a^3 z^7-19 a z^7+5 z^7 a^{-1} +3 a^8 z^6-8 a^6 z^6-38 a^4 z^6-49 a^2 z^6+z^6 a^{-2} -21 z^6+6 a^9 z^5+22 a^7 z^5+48 a^5 z^5+43 a^3 z^5+3 a z^5-8 z^5 a^{-1} -10 a^8 z^4+7 a^6 z^4+45 a^4 z^4+42 a^2 z^4-z^4 a^{-2} +13 z^4-11 a^9 z^3-23 a^7 z^3-20 a^5 z^3-9 a^3 z^3+2 a z^3+3 z^3 a^{-1} +5 a^8 z^2-3 a^6 z^2-16 a^4 z^2-11 a^2 z^2-3 z^2+5 a^9 z+7 a^7 z+3 a^5 z+a^3 z-a^8+2 a^4 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
