K13n3453
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3453/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+10 t^2-31 t+45-31 t^{-1} +10 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n3453/Conway Polynomial |
| Determinant | 129 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6+2 z^4 a^4+z^2 a^4-z^6 a^2-z^4 a^2-z^2 a^2+3 z^4+3 z^2+1-2 z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+6 a^4 z^{10}+10 a^2 z^{10}+4 z^{10}+7 a^5 z^9+6 a^3 z^9+a z^9+2 z^9 a^{-1} +4 a^6 z^8-15 a^4 z^8-34 a^2 z^8-15 z^8+a^7 z^7-23 a^5 z^7-39 a^3 z^7-22 a z^7-7 z^7 a^{-1} -13 a^6 z^6+2 a^4 z^6+38 a^2 z^6+z^6 a^{-2} +24 z^6-3 a^7 z^5+20 a^5 z^5+48 a^3 z^5+42 a z^5+17 z^5 a^{-1} +11 a^6 z^4+4 a^4 z^4-18 a^2 z^4+4 z^4 a^{-2} -7 z^4+2 a^7 z^3-9 a^5 z^3-26 a^3 z^3-26 a z^3-10 z^3 a^{-1} +z^3 a^{-3} -3 a^6 z^2-a^4 z^2+3 a^2 z^2-4 z^2 a^{-2} -3 z^2+2 a^5 z+6 a^3 z+6 a z+2 z a^{-1} +1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
