K13n1478
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1478/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-11 t^2+29 t-39+29 t^{-1} -11 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1478/Conway Polynomial |
| Determinant | 123 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^{10}-2 z^4 a^8-2 z^2 a^8+z^6 a^6+z^4 a^6-z^2 a^6-2 a^6+z^6 a^4+3 z^4 a^4+6 z^2 a^4+3 a^4-z^4 a^2-z^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}-18 z^7 a^{11}+25 z^5 a^{11}-12 z^3 a^{11}+z a^{11}+5 z^{10} a^{10}-19 z^8 a^{10}+16 z^6 a^{10}+2 z^4 a^{10}-4 z^2 a^{10}+2 z^{11} a^9+4 z^9 a^9-44 z^7 a^9+65 z^5 a^9-31 z^3 a^9+5 z a^9+11 z^{10} a^8-40 z^8 a^8+33 z^6 a^8-2 z^4 a^8-2 z^2 a^8+2 z^{11} a^7+7 z^9 a^7-50 z^7 a^7+65 z^5 a^7-30 z^3 a^7+5 z a^7+6 z^{10} a^6-16 z^8 a^6+4 z^6 a^6+10 z^4 a^6-8 z^2 a^6+2 a^6+7 z^9 a^5-23 z^7 a^5+28 z^5 a^5-15 z^3 a^5+2 z a^5+4 z^8 a^4-9 z^6 a^4+13 z^4 a^4-11 z^2 a^4+3 a^4+z^7 a^3+3 z^5 a^3-3 z^3 a^3+z a^3+4 z^4 a^2-3 z^2 a^2+z^3 a }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
