K13n2227
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2227/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-7 t^2+19 t-25+19 t^{-1} -7 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n2227/Conway Polynomial |
| Determinant | 79 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^6+3 z^2 a^4+3 a^4-3 z^4 a^2-6 z^2 a^2-3 a^2+z^6+3 z^4+4 z^2+2-z^4 a^{-2} -z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+a^4 z^{10}+5 a^2 z^{10}+4 z^{10}-2 a^3 z^9+4 a z^9+6 z^9 a^{-1} -4 a^4 z^8-20 a^2 z^8+4 z^8 a^{-2} -12 z^8+a^5 z^7-4 a^3 z^7-30 a z^7-24 z^7 a^{-1} +z^7 a^{-3} +6 a^4 z^6+20 a^2 z^6-15 z^6 a^{-2} -z^6-a^5 z^5+13 a^3 z^5+40 a z^5+23 z^5 a^{-1} -3 z^5 a^{-3} +2 a^6 z^4+2 a^4 z^4+3 a^2 z^4+12 z^4 a^{-2} +15 z^4+a^7 z^3+2 a^5 z^3-8 a^3 z^3-16 a z^3-6 z^3 a^{-1} +z^3 a^{-3} -2 a^6 z^2-7 a^4 z^2-11 a^2 z^2-2 z^2 a^{-2} -8 z^2-a^7 z-a^5 z+a^3 z+a z+a^6+3 a^4+3 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. |
