K13n184
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n184/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-10 t^2+11 t-11+11 t^{-1} -10 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n184/Conway Polynomial |
| Determinant | 67 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{12}-4 z^2 a^{12}-3 a^{12}+2 z^6 a^{10}+10 z^4 a^{10}+14 z^2 a^{10}+6 a^{10}-z^8 a^8-6 z^6 a^8-13 z^4 a^8-14 z^2 a^8-6 a^8+2 z^6 a^6+10 z^4 a^6+13 z^2 a^6+4 a^6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{17}-3 z^3 a^{17}+2 z a^{17}+2 z^6 a^{16}-5 z^4 a^{16}+2 z^2 a^{16}+2 z^7 a^{15}-3 z^5 a^{15}-z^3 a^{15}+2 z^8 a^{14}-4 z^6 a^{14}+4 z^4 a^{14}-3 z^2 a^{14}+2 z^9 a^{13}-6 z^7 a^{13}+9 z^5 a^{13}-4 z^3 a^{13}+z a^{13}+2 z^{10} a^{12}-9 z^8 a^{12}+19 z^6 a^{12}-18 z^4 a^{12}+13 z^2 a^{12}-3 a^{12}+z^{11} a^{11}-3 z^9 a^{11}+z^7 a^{11}+7 z^5 a^{11}-4 z^3 a^{11}+z a^{11}+4 z^{10} a^{10}-23 z^8 a^{10}+53 z^6 a^{10}-58 z^4 a^{10}+30 z^2 a^{10}-6 a^{10}+z^{11} a^9-4 z^9 a^9+6 z^7 a^9-6 z^5 a^9+3 z^3 a^9-2 z a^9+2 z^{10} a^8-12 z^8 a^8+31 z^6 a^8-45 z^4 a^8+28 z^2 a^8-6 a^8+z^9 a^7-3 z^7 a^7+z^3 a^7+3 z^6 a^6-14 z^4 a^6+16 z^2 a^6-4 a^6 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
