K13n3216
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3216/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -5 t^2+24 t-37+24 t^{-1} -5 t^{-2} }[/math] |
| Conway polynomial | Data:K13n3216/Conway Polynomial |
| Determinant | 95 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+2 z^2 a^8-z^4 a^6+3 z^2 a^6+3 a^6-3 z^4 a^4-4 z^2 a^4-3 a^4-z^4 a^2+2 z^2 a^2+2 a^2+z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-5 z^5 a^{11}+8 z^3 a^{11}-4 z a^{11}+2 z^8 a^{10}-8 z^6 a^{10}+9 z^4 a^{10}-3 z^2 a^{10}+a^{10}+2 z^9 a^9-4 z^7 a^9-5 z^5 a^9+11 z^3 a^9-4 z a^9+2 z^{10} a^8-5 z^8 a^8+5 z^6 a^8-9 z^4 a^8+5 z^2 a^8+z^{11} a^7-z^9 a^7+2 z^7 a^7-9 z^5 a^7+5 z^3 a^7-2 z a^7+4 z^{10} a^6-14 z^8 a^6+29 z^6 a^6-36 z^4 a^6+17 z^2 a^6-3 a^6+z^{11} a^5-2 z^9 a^5+9 z^7 a^5-16 z^5 a^5+12 z^3 a^5-4 z a^5+2 z^{10} a^4-7 z^8 a^4+22 z^6 a^4-28 z^4 a^4+17 z^2 a^4-3 a^4+z^9 a^3+2 z^7 a^3-4 z^5 a^3+7 z^3 a^3-2 z a^3+6 z^6 a^2-9 z^4 a^2+7 z^2 a^2-2 a^2+3 z^5 a-3 z^3 a+z^4-z^2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |