K13n3515
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3515/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+14 t^2-30 t+37-30 t^{-1} +14 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3515/Conway Polynomial |
| Determinant | 129 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^2 a^{10}-2 a^{10}+3 z^4 a^8+5 z^2 a^8+a^8-z^6 a^6+4 z^2 a^6+2 a^6-z^6 a^4-2 z^4 a^4-z^2 a^4+z^4 a^2+2 z^2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^5 a^{13}-7 z^3 a^{13}+3 z a^{13}+z^8 a^{12}+2 z^6 a^{12}-7 z^4 a^{12}+3 z^2 a^{12}+2 z^9 a^{11}-5 z^5 a^{11}+5 z^3 a^{11}-3 z a^{11}+2 z^{10} a^{10}-z^8 a^{10}+2 z^6 a^{10}-3 z^4 a^{10}-z^2 a^{10}+2 a^{10}+z^{11} a^9+z^9 a^9+6 z^7 a^9-20 z^5 a^9+22 z^3 a^9-7 z a^9+5 z^{10} a^8-11 z^8 a^8+21 z^6 a^8-20 z^4 a^8+6 z^2 a^8+a^8+z^{11} a^7+3 z^9 a^7-4 z^7 a^7+z^5 a^7+z^3 a^7-z a^7+3 z^{10} a^6-5 z^8 a^6+11 z^6 a^6-16 z^4 a^6+7 z^2 a^6-2 a^6+4 z^9 a^5-7 z^7 a^5+4 z^5 a^5-2 z^3 a^5+4 z^8 a^4-9 z^6 a^4+5 z^4 a^4-z^2 a^4+3 z^7 a^3-9 z^5 a^3+7 z^3 a^3+z^6 a^2-3 z^4 a^2+2 z^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. |
