K13n4119
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n4119/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-8 t^3+25 t^2-45 t+55-45 t^{-1} +25 t^{-2} -8 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4119/Conway Polynomial |
| Determinant | 213 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +4 z^6 a^{-2} -z^6 a^{-4} -3 z^6+2 a^2 z^4+7 z^4 a^{-2} -2 z^4 a^{-4} -10 z^4+4 a^2 z^2+7 z^2 a^{-2} -z^2 a^{-4} -11 z^2+2 a^2+4 a^{-2} - a^{-4} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-1} +3 z^{11} a^{-3} +16 z^{10} a^{-2} +9 z^{10} a^{-4} +7 z^{10}+7 a z^9+11 z^9 a^{-1} +14 z^9 a^{-3} +10 z^9 a^{-5} +4 a^2 z^8-28 z^8 a^{-2} -16 z^8 a^{-4} +5 z^8 a^{-6} -3 z^8+a^3 z^7-a z^7-23 z^7 a^{-1} -50 z^7 a^{-3} -28 z^7 a^{-5} +z^7 a^{-7} +5 a^2 z^6+5 z^6 a^{-2} -5 z^6 a^{-4} -13 z^6 a^{-6} +2 z^6+7 a^3 z^5-4 a z^5-2 z^5 a^{-1} +32 z^5 a^{-3} +21 z^5 a^{-5} -2 z^5 a^{-7} +3 a^4 z^4-6 a^2 z^4-5 z^4 a^{-2} +12 z^4 a^{-4} +9 z^4 a^{-6} -17 z^4-5 a^3 z^3+3 a z^3+9 z^3 a^{-1} -2 z^3 a^{-3} -2 z^3 a^{-5} +z^3 a^{-7} -2 a^4 z^2+5 a^2 z^2+9 z^2 a^{-2} -z^2 a^{-4} -z^2 a^{-6} +16 z^2+a^3 z-2 z a^{-1} -z a^{-3} -2 a^2-4 a^{-2} - a^{-4} -4 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
