K13n3760
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3760/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+2 t^2+8 t-15+8 t^{-1} +2 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3760/Conway Polynomial |
| Determinant | 23 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} -5 z^4 a^{-2} -6 z^4 a^{-4} +z^4-5 z^2 a^{-2} -7 z^2 a^{-4} +4 z^2 a^{-6} +2 z^2 a^{-8} +4 z^2-2 a^{-2} -3 a^{-4} +3 a^{-6} + a^{-8} - a^{-10} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +2 z^{10} a^{-4} +z^{10} a^{-6} +z^9 a^{-1} -8 z^9 a^{-3} -10 z^9 a^{-5} +z^9 a^{-9} -6 z^8 a^{-2} -18 z^8 a^{-4} -10 z^8 a^{-6} +3 z^8 a^{-8} +2 z^8 a^{-10} +z^8-6 z^7 a^{-1} +22 z^7 a^{-3} +35 z^7 a^{-5} +4 z^7 a^{-7} -2 z^7 a^{-9} +z^7 a^{-11} +7 z^6 a^{-2} +53 z^6 a^{-4} +38 z^6 a^{-6} -11 z^6 a^{-8} -10 z^6 a^{-10} -7 z^6+8 z^5 a^{-1} -33 z^5 a^{-3} -54 z^5 a^{-5} -13 z^5 a^{-7} -5 z^5 a^{-9} -5 z^5 a^{-11} +4 z^4 a^{-2} -65 z^4 a^{-4} -59 z^4 a^{-6} +10 z^4 a^{-8} +15 z^4 a^{-10} +15 z^4+32 z^3 a^{-3} +39 z^3 a^{-5} +10 z^3 a^{-7} +10 z^3 a^{-9} +7 z^3 a^{-11} -6 z^2 a^{-2} +33 z^2 a^{-4} +30 z^2 a^{-6} -4 z^2 a^{-8} -7 z^2 a^{-10} -12 z^2-2 z a^{-1} -11 z a^{-3} -13 z a^{-5} -5 z a^{-7} -3 z a^{-9} -2 z a^{-11} +2 a^{-2} -3 a^{-4} -3 a^{-6} + a^{-8} + a^{-10} +3 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
