K13n4224
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n4224/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-13 t^2+39 t-55+39 t^{-1} -13 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4224/Conway Polynomial |
| Determinant | 163 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^8-z^4 a^6-a^6+z^6 a^4+2 z^4 a^4+6 z^2 a^4+4 a^4+z^6 a^2-z^2 a^2-a^2-2 z^4-z^2+z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+4 a^6 z^{10}+10 a^4 z^{10}+6 a^2 z^{10}+3 a^7 z^9+2 a^5 z^9+7 a^3 z^9+8 a z^9+a^8 z^8-9 a^6 z^8-26 a^4 z^8-9 a^2 z^8+7 z^8-5 a^7 z^7-10 a^5 z^7-24 a^3 z^7-15 a z^7+4 z^7 a^{-1} +2 a^8 z^6+12 a^6 z^6+31 a^4 z^6+6 a^2 z^6+z^6 a^{-2} -14 z^6+3 a^9 z^5+6 a^7 z^5+11 a^5 z^5+24 a^3 z^5+7 a z^5-9 z^5 a^{-1} -7 a^8 z^4-3 a^6 z^4-11 a^4 z^4-8 a^2 z^4-2 z^4 a^{-2} +5 z^4-8 a^9 z^3-6 a^7 z^3+7 a^5 z^3-4 a^3 z^3-4 a z^3+5 z^3 a^{-1} +2 a^8 z^2-2 a^6 z^2-2 a^4 z^2+a^2 z^2+z^2 a^{-2} +4 a^9 z+a^7 z-6 a^5 z-4 a^3 z-a z-a^8+a^6+4 a^4+a^2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
