K13n2760
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2760/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+8 t^3-24 t^2+43 t-51+43 t^{-1} -24 t^{-2} +8 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2760/Conway Polynomial |
| Determinant | 203 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^6 z^6-4 a^4 z^6+3 a^2 z^6+2 a^6 z^4-6 a^4 z^4+10 a^2 z^4-2 z^4-3 a^4 z^2+10 a^2 z^2-4 z^2-a^6+3 a^2-1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+5 a^6 z^{10}+8 a^4 z^{10}+3 a^2 z^{10}+10 a^7 z^9+20 a^5 z^9+13 a^3 z^9+3 a z^9+10 a^8 z^8+15 a^6 z^8+10 a^4 z^8+6 a^2 z^8+z^8+5 a^9 z^7-10 a^7 z^7-33 a^5 z^7-15 a^3 z^7+3 a z^7+a^{10} z^6-20 a^8 z^6-53 a^6 z^6-46 a^4 z^6-8 a^2 z^6+6 z^6-9 a^9 z^5-12 a^7 z^5-a^5 z^5-6 a^3 z^5-5 a z^5+3 z^5 a^{-1} -a^{10} z^4+12 a^8 z^4+43 a^6 z^4+36 a^4 z^4-5 a^2 z^4-11 z^4+4 a^9 z^3+15 a^7 z^3+18 a^5 z^3+10 a^3 z^3-a z^3-4 z^3 a^{-1} -2 a^8 z^2-12 a^6 z^2-8 a^4 z^2+8 a^2 z^2+6 z^2-4 a^7 z-6 a^5 z-2 a^3 z+a z+z a^{-1} +a^6-3 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. |
