K13n3823
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3823/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-18 t^2+31 t-37+31 t^{-1} -18 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3823/Conway Polynomial |
| Determinant | 151 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-3 z^2 a^8-2 a^8+2 z^6 a^6+7 z^4 a^6+7 z^2 a^6+a^6-z^8 a^4-4 z^6 a^4-4 z^4 a^4+2 z^2 a^4+3 a^4+z^6 a^2+2 z^4 a^2-a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-4 z^5 a^{11}+5 z^3 a^{11}-2 z a^{11}+3 z^8 a^{10}-10 z^6 a^{10}+10 z^4 a^{10}-3 z^2 a^{10}+5 z^9 a^9-15 z^7 a^9+14 z^5 a^9-7 z^3 a^9+3 z a^9+4 z^{10} a^8-5 z^8 a^8-8 z^6 a^8+7 z^4 a^8+2 z^2 a^8-2 a^8+z^{11} a^7+11 z^9 a^7-37 z^7 a^7+36 z^5 a^7-21 z^3 a^7+6 z a^7+7 z^{10} a^6-7 z^8 a^6-11 z^6 a^6+8 z^4 a^6-a^6+z^{11} a^5+9 z^9 a^5-19 z^7 a^5+10 z^5 a^5-3 z^3 a^5+3 z^{10} a^4+2 z^8 a^4-6 z^6 a^4+5 z^4 a^4-5 z^2 a^4+3 a^4+3 z^9 a^3+2 z^7 a^3-3 z^5 a^3+4 z^3 a^3-2 z a^3+z^8 a^2+7 z^6 a^2-5 z^4 a^2+a^2+5 z^5 a-2 z^3 a-z a+z^4 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
