K13n2662
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2662/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-11 t^2+18 t-19+18 t^{-1} -11 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2662/Conway Polynomial |
| Determinant | 83 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +z^6-a^2 z^4+8 z^4 a^{-2} -2 z^4 a^{-4} +2 z^4-2 a^2 z^2+10 z^2 a^{-2} -6 z^2 a^{-4} -z^2+5 a^{-2} -4 a^{-4} + a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +4 z^{10} a^{-2} +z^{10} a^{-4} +3 z^{10}+4 a z^9-4 z^9 a^{-3} +3 a^2 z^8-17 z^8 a^{-2} -4 z^8 a^{-4} -10 z^8+a^3 z^7-15 a z^7-5 z^7 a^{-1} +13 z^7 a^{-3} +2 z^7 a^{-5} -12 a^2 z^6+38 z^6 a^{-2} +13 z^6 a^{-4} +13 z^6-4 a^3 z^5+16 a z^5+3 z^5 a^{-1} -20 z^5 a^{-3} -3 z^5 a^{-5} +13 a^2 z^4-50 z^4 a^{-2} -17 z^4 a^{-4} +3 z^4 a^{-6} -17 z^4+4 a^3 z^3-7 a z^3-4 z^3 a^{-1} +14 z^3 a^{-3} +8 z^3 a^{-5} +z^3 a^{-7} -3 a^2 z^2+27 z^2 a^{-2} +15 z^2 a^{-4} +9 z^2+a z-3 z a^{-3} -3 z a^{-5} -z a^{-7} -5 a^{-2} -4 a^{-4} - a^{-6} -1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
