K13n1784
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1784/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-3 t^4+4 t^3+t^2-9 t+13-9 t^{-1} + t^{-2} +4 t^{-3} -3 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n1784/Conway Polynomial |
| Determinant | 17 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{10}+2 z^2 a^{10}+a^{10}-z^8 a^8-8 z^6 a^8-20 z^4 a^8-21 z^2 a^8-8 a^8+z^{10} a^6+9 z^8 a^6+30 z^6 a^6+49 z^4 a^6+39 z^2 a^6+11 a^6-z^8 a^4-7 z^6 a^4-15 z^4 a^4-12 z^2 a^4-3 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{13}-3 z^3 a^{13}+2 z a^{13}+2 z^6 a^{12}-5 z^4 a^{12}+2 z^2 a^{12}+2 z^7 a^{11}-4 z^5 a^{11}+z^8 a^{10}-z^6 a^{10}-2 z^4 a^{10}+z^2 a^{10}-a^{10}+z^9 a^9-6 z^7 a^9+15 z^5 a^9-15 z^3 a^9+5 z a^9+2 z^{10} a^8-16 z^8 a^8+43 z^6 a^8-50 z^4 a^8+31 z^2 a^8-8 a^8+z^{11} a^7-5 z^9 a^7-3 z^7 a^7+35 z^5 a^7-39 z^3 a^7+13 z a^7+4 z^{10} a^6-32 z^8 a^6+82 z^6 a^6-89 z^4 a^6+48 z^2 a^6-11 a^6+z^{11} a^5-5 z^9 a^5-2 z^7 a^5+30 z^5 a^5-33 z^3 a^5+9 z a^5+2 z^{10} a^4-15 z^8 a^4+36 z^6 a^4-36 z^4 a^4+16 z^2 a^4-3 a^4+z^9 a^3-7 z^7 a^3+15 z^5 a^3-12 z^3 a^3+3 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. |
