K13n1361
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1361/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-10 t^2+18 t-21+18 t^{-1} -10 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1361/Conway Polynomial |
| Determinant | 87 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^6 z^6-6 a^4 z^6+a^2 z^6+4 a^6 z^4-14 a^4 z^4+4 a^2 z^4+6 a^6 z^2-15 a^4 z^2+7 a^2 z^2+3 a^6-7 a^4+5 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+3 a^6 z^{10}+4 a^4 z^{10}+a^2 z^{10}+5 a^7 z^9-5 a^3 z^9+5 a^8 z^8-8 a^6 z^8-20 a^4 z^8-7 a^2 z^8+3 a^9 z^7-15 a^7 z^7-7 a^5 z^7+11 a^3 z^7+a^{10} z^6-14 a^8 z^6+11 a^6 z^6+48 a^4 z^6+22 a^2 z^6-8 a^9 z^5+18 a^7 z^5+22 a^5 z^5-2 a^3 z^5+2 a z^5-3 a^{10} z^4+10 a^8 z^4-11 a^6 z^4-49 a^4 z^4-25 a^2 z^4+4 a^9 z^3-17 a^7 z^3-24 a^5 z^3-5 a^3 z^3-2 a z^3+2 a^{10} z^2-4 a^8 z^2+6 a^6 z^2+27 a^4 z^2+15 a^2 z^2+6 a^7 z+10 a^5 z+4 a^3 z-3 a^6-7 a^4-5 a^2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
