K13n4293
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n4293/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+11 t^2-26 t+35-26 t^{-1} +11 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4293/Conway Polynomial |
| Determinant | 113 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6+a^2 z^4-z^4 a^{-2} +2 z^4 a^{-4} -3 z^4+2 a^2 z^2+2 z^2 a^{-2} +3 z^2 a^{-4} -z^2 a^{-6} -6 z^2+2 a^2+3 a^{-2} + a^{-4} - a^{-6} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +9 z^{10} a^{-2} +4 z^{10} a^{-4} +5 z^{10}+4 a z^9-z^9 a^{-1} -z^9 a^{-3} +4 z^9 a^{-5} +a^2 z^8-38 z^8 a^{-2} -11 z^8 a^{-4} +3 z^8 a^{-6} -23 z^8-17 a z^7-18 z^7 a^{-1} -13 z^7 a^{-3} -11 z^7 a^{-5} +z^7 a^{-7} +62 z^6 a^{-2} +6 z^6 a^{-4} -11 z^6 a^{-6} +45 z^6+3 a^3 z^5+32 a z^5+41 z^5 a^{-1} +18 z^5 a^{-3} +2 z^5 a^{-5} -4 z^5 a^{-7} +a^4 z^4-2 a^2 z^4-50 z^4 a^{-2} -5 z^4 a^{-4} +11 z^4 a^{-6} -37 z^4-6 a^3 z^3-19 a z^3-25 z^3 a^{-1} -12 z^3 a^{-3} +5 z^3 a^{-5} +5 z^3 a^{-7} -2 a^4 z^2+4 a^2 z^2+19 z^2 a^{-2} +z^2 a^{-4} -4 z^2 a^{-6} +20 z^2+2 a^3 z+4 a z+4 z a^{-1} +2 z a^{-3} -2 z a^{-5} -2 z a^{-7} -2 a^2-3 a^{-2} + a^{-4} + a^{-6} -4 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
