K13n3488
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3488/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-19 t^2+49 t-65+49 t^{-1} -19 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3488/Conway Polynomial |
| Determinant | 207 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-4} +z^6 a^{-6} -4 z^4 a^{-2} +4 z^4 a^{-4} -z^4 a^{-8} -6 z^2 a^{-2} +5 z^2 a^{-4} -z^2 a^{-6} +2 z^2-3 a^{-2} +3 a^{-4} - a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-5} +3 z^{11} a^{-7} +8 z^{10} a^{-4} +17 z^{10} a^{-6} +9 z^{10} a^{-8} +9 z^9 a^{-3} +14 z^9 a^{-5} +15 z^9 a^{-7} +10 z^9 a^{-9} +5 z^8 a^{-2} -9 z^8 a^{-4} -35 z^8 a^{-6} -16 z^8 a^{-8} +5 z^8 a^{-10} +z^7 a^{-1} -19 z^7 a^{-3} -50 z^7 a^{-5} -59 z^7 a^{-7} -28 z^7 a^{-9} +z^7 a^{-11} -7 z^6 a^{-2} -7 z^6 a^{-4} +7 z^6 a^{-6} -6 z^6 a^{-8} -13 z^6 a^{-10} +5 z^5 a^{-1} +27 z^5 a^{-3} +46 z^5 a^{-5} +47 z^5 a^{-7} +21 z^5 a^{-9} -2 z^5 a^{-11} +17 z^4 a^{-2} +25 z^4 a^{-4} +13 z^4 a^{-6} +11 z^4 a^{-8} +9 z^4 a^{-10} +3 z^4-6 z^3 a^{-1} -11 z^3 a^{-3} -11 z^3 a^{-5} -11 z^3 a^{-7} -4 z^3 a^{-9} +z^3 a^{-11} -14 z^2 a^{-2} -15 z^2 a^{-4} -8 z^2 a^{-6} -3 z^2 a^{-8} -z^2 a^{-10} -5 z^2+z a^{-1} +z a^{-3} -z a^{-5} -z a^{-7} +3 a^{-2} +3 a^{-4} + a^{-6} +2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
