K13n2893
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2893/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-11 t^2+25 t-31+25 t^{-1} -11 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2893/Conway Polynomial |
| Determinant | 107 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6-2 a^2 z^4+2 z^4 a^{-2} -z^4 a^{-4} +2 z^4+a^4 z^2-4 a^2 z^2+z^2 a^{-2} -z^2 a^{-4} +2 z^2+a^4-2 a^2+2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+4 z^{10} a^{-2} +7 z^{10}+3 a^3 z^9+6 a z^9+9 z^9 a^{-1} +6 z^9 a^{-3} +a^4 z^8-10 a^2 z^8-7 z^8 a^{-2} +4 z^8 a^{-4} -22 z^8-15 a^3 z^7-42 a z^7-47 z^7 a^{-1} -19 z^7 a^{-3} +z^7 a^{-5} -5 a^4 z^6+a^2 z^6-8 z^6 a^{-2} -8 z^6 a^{-4} +6 z^6+24 a^3 z^5+65 a z^5+62 z^5 a^{-1} +25 z^5 a^{-3} +4 z^5 a^{-5} +8 a^4 z^4+17 a^2 z^4+15 z^4 a^{-2} +9 z^4 a^{-4} +4 z^4 a^{-6} +19 z^4-15 a^3 z^3-37 a z^3-34 z^3 a^{-1} -17 z^3 a^{-3} -4 z^3 a^{-5} +z^3 a^{-7} -5 a^4 z^2-13 a^2 z^2-6 z^2 a^{-2} -4 z^2 a^{-4} -2 z^2 a^{-6} -12 z^2+3 a^3 z+7 a z+7 z a^{-1} +4 z a^{-3} +z a^{-5} +a^4+2 a^2+2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
