K13n3720
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3720/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-18 t^2+40 t-51+40 t^{-1} -18 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3720/Conway Polynomial |
| Determinant | 175 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^{10}+a^{10}-3 z^4 a^8-6 z^2 a^8-3 a^8+2 z^6 a^6+5 z^4 a^6+4 z^2 a^6+2 z^6 a^4+6 z^4 a^4+8 z^2 a^4+4 a^4-2 z^4 a^2-3 z^2 a^2-a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^8 a^{12}-4 z^6 a^{12}+5 z^4 a^{12}-2 z^2 a^{12}+4 z^9 a^{11}-17 z^7 a^{11}+24 z^5 a^{11}-13 z^3 a^{11}+2 z a^{11}+6 z^{10} a^{10}-22 z^8 a^{10}+21 z^6 a^{10}-z^4 a^{10}-3 z^2 a^{10}-a^{10}+3 z^{11} a^9+3 z^9 a^9-45 z^7 a^9+67 z^5 a^9-33 z^3 a^9+6 z a^9+16 z^{10} a^8-51 z^8 a^8+37 z^6 a^8-3 z^4 a^8+3 z^2 a^8-3 a^8+3 z^{11} a^7+14 z^9 a^7-70 z^7 a^7+70 z^5 a^7-22 z^3 a^7+z a^7+10 z^{10} a^6-15 z^8 a^6-17 z^6 a^6+23 z^4 a^6-5 z^2 a^6+15 z^9 a^5-36 z^7 a^5+24 z^5 a^5-z^3 a^5-5 z a^5+13 z^8 a^4-28 z^6 a^4+28 z^4 a^4-15 z^2 a^4+4 a^4+6 z^7 a^3-3 z^5 a^3+4 z^3 a^3-3 z a^3+z^6 a^2+8 z^4 a^2-6 z^2 a^2+a^2+3 z^3 a-z a }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
