K13n2831
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2831/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -5 t^2+21 t-31+21 t^{-1} -5 t^{-2} }[/math] |
| Conway polynomial | Data:K13n2831/Conway Polynomial |
| Determinant | 83 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^{10}-z^4 a^8+z^2 a^8+a^8-3 z^4 a^6-5 z^2 a^6-3 a^6-z^4 a^4+2 z^2 a^4+2 a^4+2 z^2 a^2+a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^8 a^{12}-5 z^6 a^{12}+8 z^4 a^{12}-4 z^2 a^{12}+3 z^9 a^{11}-15 z^7 a^{11}+24 z^5 a^{11}-14 z^3 a^{11}+2 z a^{11}+3 z^{10} a^{10}-11 z^8 a^{10}+6 z^6 a^{10}+7 z^4 a^{10}-4 z^2 a^{10}+z^{11} a^9+3 z^9 a^9-26 z^7 a^9+34 z^5 a^9-14 z^3 a^9+3 z a^9+5 z^{10} a^8-15 z^8 a^8+16 z^4 a^8-7 z^2 a^8+a^8+z^{11} a^7+2 z^9 a^7-16 z^7 a^7+12 z^5 a^7-z a^7+2 z^{10} a^6-2 z^8 a^6-14 z^6 a^6+25 z^4 a^6-16 z^2 a^6+3 a^6+2 z^9 a^5-5 z^7 a^5+3 z^5 a^5+z^3 a^5-2 z a^5+z^8 a^4-3 z^6 a^4+8 z^4 a^4-7 z^2 a^4+2 a^4+z^5 a^3+z^3 a^3+2 z^2 a^2-a^2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
