K13n4244
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n4244/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-4 t^4+8 t^3-8 t^2+5 t-3+5 t^{-1} -8 t^{-2} +8 t^{-3} -4 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n4244/Conway Polynomial |
| Determinant | 55 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{10}+2 z^2 a^{10}+a^{10}-z^8 a^8-7 z^6 a^8-16 z^4 a^8-16 z^2 a^8-6 a^8+z^{10} a^6+8 z^8 a^6+24 z^6 a^6+36 z^4 a^6+27 z^2 a^6+7 a^6-z^8 a^4-6 z^6 a^4-11 z^4 a^4-7 z^2 a^4-a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z a^{13}+z^2 a^{12}+z^5 a^{11}-4 z^3 a^{11}+2 z a^{11}+z^8 a^{10}-3 z^6 a^{10}-2 z^4 a^{10}+2 z^2 a^{10}-a^{10}+4 z^9 a^9-22 z^7 a^9+38 z^5 a^9-33 z^3 a^9+10 z a^9+5 z^{10} a^8-29 z^8 a^8+55 z^6 a^8-52 z^4 a^8+26 z^2 a^8-6 a^8+2 z^{11} a^7-5 z^9 a^7-18 z^7 a^7+57 z^5 a^7-49 z^3 a^7+14 z a^7+8 z^{10} a^6-49 z^8 a^6+98 z^6 a^6-84 z^4 a^6+37 z^2 a^6-7 a^6+2 z^{11} a^5-8 z^9 a^5-2 z^7 a^5+32 z^5 a^5-29 z^3 a^5+7 z a^5+3 z^{10} a^4-19 z^8 a^4+40 z^6 a^4-34 z^4 a^4+12 z^2 a^4-a^4+z^9 a^3-6 z^7 a^3+12 z^5 a^3-9 z^3 a^3+2 z a^3 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
