K13n1281
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1281/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-t^2+1- t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n1281/Conway Polynomial |
| Determinant | 3 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-z^8-a^4 z^6+9 a^2 z^6+z^6 a^{-2} -8 z^6-6 a^4 z^4+29 a^2 z^4+5 z^4 a^{-2} -23 z^4-12 a^4 z^2+39 a^2 z^2+7 z^2 a^{-2} -29 z^2-8 a^4+19 a^2+3 a^{-2} -13 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+z^{10} a^{-2} +z^{10}+a^5 z^9+2 a^3 z^9+2 a z^9+3 z^9 a^{-1} +2 z^9 a^{-3} +a^6 z^8-7 a^4 z^8-10 a^2 z^8-5 z^8 a^{-2} +z^8 a^{-4} -8 z^8+a^7 z^7-5 a^5 z^7-16 a^3 z^7-19 a z^7-22 z^7 a^{-1} -13 z^7 a^{-3} -5 a^6 z^6+18 a^4 z^6+35 a^2 z^6+4 z^6 a^{-2} -6 z^6 a^{-4} +22 z^6-6 a^7 z^5+5 a^5 z^5+42 a^3 z^5+58 a z^5+53 z^5 a^{-1} +26 z^5 a^{-3} +5 a^6 z^4-28 a^4 z^4-60 a^2 z^4+4 z^4 a^{-2} +10 z^4 a^{-4} -33 z^4+10 a^7 z^3-48 a^3 z^3-74 a z^3-55 z^3 a^{-1} -19 z^3 a^{-3} +25 a^4 z^2+50 a^2 z^2-4 z^2 a^{-4} +29 z^2-5 a^7 z+20 a^3 z+31 a z+22 z a^{-1} +6 z a^{-3} -8 a^4-19 a^2-3 a^{-2} -13 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
