K13n4148
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n4148/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-17 t^2+32 t-39+32 t^{-1} -17 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4148/Conway Polynomial |
| Determinant | 151 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^6 z^6-4 a^4 z^6+a^2 z^6+2 a^6 z^4-4 a^4 z^4+a^2 z^4+3 a^4 z^2-2 a^2 z^2+z^2-2 a^6+4 a^4-2 a^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+5 a^6 z^{10}+6 a^4 z^{10}+a^2 z^{10}+10 a^7 z^9+11 a^5 z^9+a^3 z^9+10 a^8 z^8+3 a^6 z^8-9 a^4 z^8-2 a^2 z^8+5 a^9 z^7-16 a^7 z^7-23 a^5 z^7-a^3 z^7+a z^7+a^{10} z^6-21 a^8 z^6-26 a^6 z^6+7 a^4 z^6+11 a^2 z^6-9 a^9 z^5-5 a^7 z^5+9 a^5 z^5+11 a^3 z^5+6 a z^5-a^{10} z^4+9 a^8 z^4+20 a^6 z^4+4 a^4 z^4-4 a^2 z^4+2 z^4+3 a^9 z^3+10 a^7 z^3+5 a^5 z^3-9 a^3 z^3-7 a z^3-a^8 z^2-7 a^6 z^2-9 a^4 z^2-5 a^2 z^2-2 z^2-3 a^7 z-3 a^5 z+a^3 z+a z+2 a^6+4 a^4+2 a^2+1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |