K13n4028
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n4028/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-11 t^2+15 t-15+15 t^{-1} -11 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4028/Conway Polynomial |
| Determinant | 79 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6+z^6 a^{-2} -5 z^6+3 a^2 z^4+4 z^4 a^{-2} -8 z^4+2 a^2 z^2+5 z^2 a^{-2} -z^2 a^{-4} -6 z^2+a^2+3 a^{-2} - a^{-4} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +5 a^2 z^{10}+4 z^{10} a^{-2} +9 z^{10}+4 a^3 z^9-2 z^9 a^{-1} +2 z^9 a^{-3} +a^4 z^8-21 a^2 z^8-20 z^8 a^{-2} -42 z^8-18 a^3 z^7-33 a z^7-26 z^7 a^{-1} -11 z^7 a^{-3} -4 a^4 z^6+20 a^2 z^6+30 z^6 a^{-2} +54 z^6+23 a^3 z^5+57 a z^5+53 z^5 a^{-1} +19 z^5 a^{-3} +5 a^4 z^4-2 a^2 z^4-23 z^4 a^{-2} -3 z^4 a^{-4} -27 z^4-10 a^3 z^3-31 a z^3-36 z^3 a^{-1} -17 z^3 a^{-3} -2 z^3 a^{-5} -2 a^4 z^2+11 z^2 a^{-2} +4 z^2 a^{-4} +9 z^2+2 a^3 z+6 a z+8 z a^{-1} +6 z a^{-3} +2 z a^{-5} -a^2-3 a^{-2} - a^{-4} -2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
