K13n1378
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1378/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-8 t^3+26 t^2-48 t+59-48 t^{-1} +26 t^{-2} -8 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1378/Conway Polynomial |
| Determinant | 225 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +3 z^6 a^{-2} -z^6 a^{-4} -2 z^6+a^2 z^4+z^4 a^{-2} -z^4 a^{-4} -3 z^4-6 z^2 a^{-2} +2 z^2 a^{-4} +4 z^2-2 a^2-6 a^{-2} +2 a^{-4} +7 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 z^{11} a^{-1} +4 z^{11} a^{-3} +23 z^{10} a^{-2} +12 z^{10} a^{-4} +11 z^{10}+9 a z^9+16 z^9 a^{-1} +20 z^9 a^{-3} +13 z^9 a^{-5} +2 a^2 z^8-58 z^8 a^{-2} -22 z^8 a^{-4} +6 z^8 a^{-6} -28 z^8-22 a z^7-74 z^7 a^{-1} -88 z^7 a^{-3} -35 z^7 a^{-5} +z^7 a^{-7} +7 a^2 z^6+37 z^6 a^{-2} -8 z^6 a^{-4} -13 z^6 a^{-6} +39 z^6+6 a^3 z^5+40 a z^5+95 z^5 a^{-1} +85 z^5 a^{-3} +23 z^5 a^{-5} -z^5 a^{-7} +a^4 z^4-6 a^2 z^4-3 z^4 a^{-2} +14 z^4 a^{-4} +5 z^4 a^{-6} -19 z^4-4 a^3 z^3-24 a z^3-44 z^3 a^{-1} -26 z^3 a^{-3} -2 z^3 a^{-5} -8 z^2 a^{-2} -2 z^2 a^{-4} +2 z^2 a^{-6} -4 z^2+2 a z+2 z a^{-1} -2 z a^{-3} -2 z a^{-5} +2 a^2+6 a^{-2} +2 a^{-4} +7 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
