K13n3786
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3786/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+21 t^2-44 t+55-44 t^{-1} +21 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3786/Conway Polynomial |
| Determinant | 193 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}-a^{12}+3 z^4 a^{10}+6 z^2 a^{10}+3 a^{10}-2 z^6 a^8-5 z^4 a^8-6 z^2 a^8-4 a^8-2 z^6 a^6-4 z^4 a^6-z^2 a^6+a^6+3 z^4 a^4+6 z^2 a^4+2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{15}-3 z^5 a^{15}+2 z^3 a^{15}+4 z^8 a^{14}-13 z^6 a^{14}+12 z^4 a^{14}-3 z^2 a^{14}+7 z^9 a^{13}-22 z^7 a^{13}+22 z^5 a^{13}-10 z^3 a^{13}+3 z a^{13}+6 z^{10} a^{12}-10 z^8 a^{12}-7 z^6 a^{12}+14 z^4 a^{12}-3 z^2 a^{12}-a^{12}+2 z^{11} a^{11}+13 z^9 a^{11}-53 z^7 a^{11}+63 z^5 a^{11}-36 z^3 a^{11}+7 z a^{11}+13 z^{10} a^{10}-26 z^8 a^{10}+13 z^6 a^{10}-8 z^4 a^{10}+7 z^2 a^{10}-3 a^{10}+2 z^{11} a^9+16 z^9 a^9-49 z^7 a^9+53 z^5 a^9-33 z^3 a^9+9 z a^9+7 z^{10} a^8-4 z^8 a^8-3 z^6 a^8-6 z^4 a^8+12 z^2 a^8-4 a^8+10 z^9 a^7-16 z^7 a^7+18 z^5 a^7-13 z^3 a^7+5 z a^7+8 z^8 a^6-10 z^6 a^6+10 z^4 a^6-3 z^2 a^6-a^6+3 z^7 a^5+3 z^5 a^5-4 z^3 a^5+6 z^4 a^4-8 z^2 a^4+2 a^4 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
