K13n3689
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3689/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-4 t^4+8 t^3-11 t^2+14 t-15+14 t^{-1} -11 t^{-2} +8 t^{-3} -4 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n3689/Conway Polynomial |
| Determinant | 91 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-2} +8 z^8 a^{-2} -z^8 a^{-4} -z^8+24 z^6 a^{-2} -7 z^6 a^{-4} -6 z^6+34 z^4 a^{-2} -16 z^4 a^{-4} +z^4 a^{-6} -12 z^4+23 z^2 a^{-2} -13 z^2 a^{-4} +2 z^2 a^{-6} -9 z^2+6 a^{-2} -3 a^{-4} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +8 z^{10} a^{-2} +4 z^{10} a^{-4} +4 z^{10}+4 a z^9-4 z^9 a^{-1} -6 z^9 a^{-3} +2 z^9 a^{-5} +3 a^2 z^8-41 z^8 a^{-2} -23 z^8 a^{-4} -15 z^8+a^3 z^7-14 a z^7-6 z^7 a^{-1} -z^7 a^{-3} -10 z^7 a^{-5} -12 a^2 z^6+82 z^6 a^{-2} +53 z^6 a^{-4} +z^6 a^{-6} +18 z^6-4 a^3 z^5+10 a z^5+17 z^5 a^{-1} +25 z^5 a^{-3} +22 z^5 a^{-5} +12 a^2 z^4-78 z^4 a^{-2} -49 z^4 a^{-4} -17 z^4+4 a^3 z^3-a z^3-17 z^3 a^{-1} -27 z^3 a^{-3} -14 z^3 a^{-5} +z^3 a^{-7} -3 a^2 z^2+33 z^2 a^{-2} +21 z^2 a^{-4} +z^2 a^{-6} +10 z^2-a^3 z+5 z a^{-1} +8 z a^{-3} +3 z a^{-5} -z a^{-7} -6 a^{-2} -3 a^{-4} -2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
