K13n2253
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2253/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+13 t^2-25 t+31-25 t^{-1} +13 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2253/Conway Polynomial |
| Determinant | 113 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{10}+2 z^2 a^{10}+a^{10}-z^6 a^8-2 z^4 a^8-z^2 a^8-2 z^6 a^6-7 z^4 a^6-9 z^2 a^6-5 a^6+3 z^4 a^4+8 z^2 a^4+5 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{14}-3 z^4 a^{14}+2 z^2 a^{14}+3 z^7 a^{13}-8 z^5 a^{13}+5 z^3 a^{13}-z a^{13}+5 z^8 a^{12}-13 z^6 a^{12}+10 z^4 a^{12}-4 z^2 a^{12}+5 z^9 a^{11}-11 z^7 a^{11}+8 z^5 a^{11}-5 z^3 a^{11}+z a^{11}+3 z^{10} a^{10}-3 z^8 a^{10}-z^6 a^{10}+z^2 a^{10}-a^{10}+z^{11} a^9+2 z^9 a^9-2 z^7 a^9-4 z^5 a^9+6 z^3 a^9-z a^9+4 z^{10} a^8-10 z^8 a^8+20 z^6 a^8-18 z^4 a^8+7 z^2 a^8+z^{11} a^7-3 z^9 a^7+15 z^7 a^7-24 z^5 a^7+22 z^3 a^7-9 z a^7+z^{10} a^6-2 z^8 a^6+7 z^6 a^6-10 z^2 a^6+5 a^6+3 z^7 a^5-4 z^5 a^5+6 z^3 a^5-6 z a^5+5 z^4 a^4-10 z^2 a^4+5 a^4 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
