K13n3193
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3193/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-9 t^2+20 t-25+20 t^{-1} -9 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3193/Conway Polynomial |
| Determinant | 87 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-2 z^2 a^8-a^8+z^6 a^6+3 z^4 a^6+4 z^2 a^6+2 a^6+z^6 a^4+2 z^4 a^4-2 a^4-z^4 a^2+2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-4 z^5 a^{11}+3 z^3 a^{11}+3 z^8 a^{10}-12 z^6 a^{10}+11 z^4 a^{10}-3 z^2 a^{10}+5 z^9 a^9-21 z^7 a^9+25 z^5 a^9-15 z^3 a^9+4 z a^9+5 z^{10} a^8-21 z^8 a^8+26 z^6 a^8-16 z^4 a^8+4 z^2 a^8-a^8+2 z^{11} a^7-2 z^9 a^7-20 z^7 a^7+43 z^5 a^7-33 z^3 a^7+8 z a^7+8 z^{10} a^6-39 z^8 a^6+65 z^6 a^6-45 z^4 a^6+13 z^2 a^6-2 a^6+2 z^{11} a^5-6 z^9 a^5-2 z^7 a^5+22 z^5 a^5-19 z^3 a^5+6 z a^5+3 z^{10} a^4-15 z^8 a^4+27 z^6 a^4-16 z^4 a^4+6 z^2 a^4-2 a^4+z^9 a^3-4 z^7 a^3+8 z^5 a^3-4 z^3 a^3+2 z a^3+2 z^4 a^2-2 a^2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
