K13n2219
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2219/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3+5 t^2-20 t+29-20 t^{-1} +5 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n2219/Conway Polynomial |
| Determinant | 77 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^{14}-4 z^2 a^{12}-4 a^{12}+3 z^4 a^{10}+5 z^2 a^{10}+3 a^{10}+2 z^4 a^8+z^2 a^8-a^8+z^6 a^6+6 z^4 a^6+7 z^2 a^6+2 a^6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^8 a^{16}-4 z^6 a^{16}+4 z^4 a^{16}-z^2 a^{16}+4 z^9 a^{15}-19 z^7 a^{15}+26 z^5 a^{15}-12 z^3 a^{15}+z a^{15}+5 z^{10} a^{14}-22 z^8 a^{14}+24 z^6 a^{14}-7 z^4 a^{14}+z^2 a^{14}-a^{14}+2 z^{11} a^{13}+z^9 a^{13}-41 z^7 a^{13}+76 z^5 a^{13}-49 z^3 a^{13}+11 z a^{13}+10 z^{10} a^{12}-49 z^8 a^{12}+70 z^6 a^{12}-45 z^4 a^{12}+19 z^2 a^{12}-4 a^{12}+2 z^{11} a^{11}-39 z^7 a^{11}+77 z^5 a^{11}-51 z^3 a^{11}+11 z a^{11}+5 z^{10} a^{10}-26 z^8 a^{10}+39 z^6 a^{10}-27 z^4 a^{10}+12 z^2 a^{10}-3 a^{10}+3 z^9 a^9-17 z^7 a^9+25 z^5 a^9-13 z^3 a^9+2 z a^9-2 z^6 a^8+z^4 a^8+2 z^2 a^8-a^8-2 z^5 a^7+z^3 a^7+z a^7+z^6 a^6-6 z^4 a^6+7 z^2 a^6-2 a^6 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
