K13n3001
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3001/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+3 t^4-4 t^3+2 t^2+3 t-5+3 t^{-1} +2 t^{-2} -4 t^{-3} +3 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n3001/Conway Polynomial |
| Determinant | 9 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10} a^{-4} +z^8 a^{-2} -9 z^8 a^{-4} +z^8 a^{-6} +7 z^6 a^{-2} -30 z^6 a^{-4} +8 z^6 a^{-6} +16 z^4 a^{-2} -47 z^4 a^{-4} +20 z^4 a^{-6} -z^4 a^{-8} +15 z^2 a^{-2} -33 z^2 a^{-4} +18 z^2 a^{-6} -2 z^2 a^{-8} +5 a^{-2} -7 a^{-4} +3 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +4 z^{10} a^{-4} +2 z^{10} a^{-6} +2 z^9 a^{-1} -4 z^9 a^{-3} -5 z^9 a^{-5} +z^9 a^{-7} -12 z^8 a^{-2} -29 z^8 a^{-4} -16 z^8 a^{-6} +z^8-12 z^7 a^{-1} -3 z^7 a^{-3} -8 z^7 a^{-7} +z^7 a^{-9} +21 z^6 a^{-2} +69 z^6 a^{-4} +42 z^6 a^{-6} +z^6 a^{-8} +z^6 a^{-10} -6 z^6+20 z^5 a^{-1} +17 z^5 a^{-3} +21 z^5 a^{-5} +19 z^5 a^{-7} -5 z^5 a^{-9} -19 z^4 a^{-2} -77 z^4 a^{-4} -49 z^4 a^{-6} -6 z^4 a^{-8} -5 z^4 a^{-10} +10 z^4-11 z^3 a^{-1} -13 z^3 a^{-3} -26 z^3 a^{-5} -18 z^3 a^{-7} +6 z^3 a^{-9} +15 z^2 a^{-2} +43 z^2 a^{-4} +22 z^2 a^{-6} +5 z^2 a^{-8} +6 z^2 a^{-10} -5 z^2+z a^{-1} +5 z a^{-3} +7 z a^{-5} +z a^{-7} -2 z a^{-9} -5 a^{-2} -7 a^{-4} -3 a^{-6} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
