K13n3839
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3839/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+13 t^2-21 t+25-21 t^{-1} +13 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3839/Conway Polynomial |
| Determinant | 105 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-2 a^4 z^6+6 a^2 z^6-z^6+a^6 z^4-9 a^4 z^4+15 a^2 z^4-4 z^4+3 a^6 z^2-14 a^4 z^2+19 a^2 z^2-6 z^2+2 a^6-8 a^4+10 a^2-3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+3 a^6 z^{10}+6 a^4 z^{10}+3 a^2 z^{10}+3 a^7 z^9+5 a^5 z^9+5 a^3 z^9+3 a z^9+a^8 z^8-10 a^6 z^8-18 a^4 z^8-6 a^2 z^8+z^8-15 a^7 z^7-35 a^5 z^7-24 a^3 z^7-4 a z^7-5 a^8 z^6+3 a^6 z^6+12 a^4 z^6+11 a^2 z^6+7 z^6+25 a^7 z^5+55 a^5 z^5+30 a^3 z^5+7 a z^5+7 z^5 a^{-1} +8 a^8 z^4+11 a^6 z^4-11 a^4 z^4-31 a^2 z^4+3 z^4 a^{-2} -14 z^4-16 a^7 z^3-37 a^5 z^3-31 a^3 z^3-17 a z^3-6 z^3 a^{-1} +z^3 a^{-3} -4 a^8 z^2-3 a^6 z^2+17 a^4 z^2+27 a^2 z^2+11 z^2+4 a^7 z+13 a^5 z+15 a^3 z+9 a z+3 z a^{-1} -2 a^6-8 a^4-10 a^2-3 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
