K13a2520
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13a2520/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -8 t^3+40 t^2-86 t+109-86 t^{-1} +40 t^{-2} -8 t^{-3} }[/math] |
| Conway polynomial | Data:K13a2520/Conway Polynomial |
| Determinant | 377 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -4 z^6 a^{-6} -3 z^6 a^{-8} +z^4 a^{-2} +2 z^4 a^{-4} -9 z^4 a^{-6} -6 z^4 a^{-8} +4 z^4 a^{-10} +z^2 a^{-2} +7 z^2 a^{-4} -7 z^2 a^{-6} -5 z^2 a^{-8} +7 z^2 a^{-10} -z^2 a^{-12} +4 a^{-4} -3 a^{-6} -2 a^{-8} +3 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{12} a^{-8} +3 z^{12} a^{-10} +10 z^{11} a^{-7} +20 z^{11} a^{-9} +10 z^{11} a^{-11} +15 z^{10} a^{-6} +27 z^{10} a^{-8} +26 z^{10} a^{-10} +14 z^{10} a^{-12} +15 z^9 a^{-5} +5 z^9 a^{-7} -24 z^9 a^{-9} -3 z^9 a^{-11} +11 z^9 a^{-13} +10 z^8 a^{-4} -14 z^8 a^{-6} -66 z^8 a^{-8} -76 z^8 a^{-10} -29 z^8 a^{-12} +5 z^8 a^{-14} +4 z^7 a^{-3} -25 z^7 a^{-5} -33 z^7 a^{-7} -11 z^7 a^{-9} -35 z^7 a^{-11} -27 z^7 a^{-13} +z^7 a^{-15} +z^6 a^{-2} -19 z^6 a^{-4} -13 z^6 a^{-6} +54 z^6 a^{-8} +73 z^6 a^{-10} +14 z^6 a^{-12} -12 z^6 a^{-14} -6 z^5 a^{-3} +17 z^5 a^{-5} +21 z^5 a^{-7} +16 z^5 a^{-9} +40 z^5 a^{-11} +20 z^5 a^{-13} -2 z^5 a^{-15} -2 z^4 a^{-2} +19 z^4 a^{-4} +29 z^4 a^{-6} -26 z^4 a^{-8} -42 z^4 a^{-10} +8 z^4 a^{-14} +2 z^3 a^{-3} -2 z^3 a^{-5} +4 z^3 a^{-7} -3 z^3 a^{-9} -17 z^3 a^{-11} -5 z^3 a^{-13} +z^3 a^{-15} +z^2 a^{-2} -13 z^2 a^{-4} -16 z^2 a^{-6} +11 z^2 a^{-8} +15 z^2 a^{-10} +z^2 a^{-12} -z^2 a^{-14} -3 z a^{-5} -4 z a^{-7} +2 z a^{-11} +z a^{-13} +4 a^{-4} +3 a^{-6} -2 a^{-8} -3 a^{-10} - a^{-12} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
