K13n3379
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3379/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+14 t^2-26 t+31-26 t^{-1} +14 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3379/Conway Polynomial |
| Determinant | 117 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{10}+z^2 a^{10}-a^{10}-z^6 a^8-z^4 a^8+3 z^2 a^8+3 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+4 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{14}-2 z^4 a^{14}+4 z^7 a^{13}-10 z^5 a^{13}+4 z^3 a^{13}+7 z^8 a^{12}-19 z^6 a^{12}+12 z^4 a^{12}-3 z^2 a^{12}+7 z^9 a^{11}-18 z^7 a^{11}+12 z^5 a^{11}-3 z^3 a^{11}-z a^{11}+4 z^{10} a^{10}-5 z^8 a^{10}-8 z^6 a^{10}+16 z^4 a^{10}-8 z^2 a^{10}+a^{10}+z^{11} a^9+6 z^9 a^9-24 z^7 a^9+30 z^5 a^9-9 z^3 a^9+5 z^{10} a^8-13 z^8 a^8+11 z^6 a^8+11 z^4 a^8-12 z^2 a^8+3 a^8+z^{11} a^7-z^9 a^7+z^7 a^7+4 z^5 a^7-z^3 a^7+z^{10} a^6-z^8 a^6-z^6 a^6+14 z^4 a^6-18 z^2 a^6+5 a^6+3 z^7 a^5-4 z^5 a^5+z^3 a^5-z a^5+5 z^4 a^4-11 z^2 a^4+4 a^4 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
