K13a187
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13a187/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+13 t^3-41 t^2+78 t-95+78 t^{-1} -41 t^{-2} +13 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a187/Conway Polynomial |
| Determinant | 363 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -z^8 a^{-4} -3 z^6 a^{-2} -3 z^6 a^{-4} +2 z^6 a^{-6} +z^6-4 z^4 a^{-2} -6 z^4 a^{-4} +6 z^4 a^{-6} -z^4 a^{-8} +2 z^4-z^2 a^{-2} -8 z^2 a^{-4} +8 z^2 a^{-6} -2 z^2 a^{-8} +2 z^2+2 a^{-2} -5 a^{-4} +4 a^{-6} - a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-4} +2 z^{12} a^{-6} +9 z^{11} a^{-3} +16 z^{11} a^{-5} +7 z^{11} a^{-7} +17 z^{10} a^{-2} +32 z^{10} a^{-4} +25 z^{10} a^{-6} +10 z^{10} a^{-8} +19 z^9 a^{-1} +17 z^9 a^{-3} -7 z^9 a^{-5} +3 z^9 a^{-7} +8 z^9 a^{-9} -14 z^8 a^{-2} -75 z^8 a^{-4} -73 z^8 a^{-6} -21 z^8 a^{-8} +4 z^8 a^{-10} +13 z^8+5 a z^7-31 z^7 a^{-1} -64 z^7 a^{-3} -50 z^7 a^{-5} -45 z^7 a^{-7} -22 z^7 a^{-9} +z^7 a^{-11} +a^2 z^6-16 z^6 a^{-2} +62 z^6 a^{-4} +77 z^6 a^{-6} +10 z^6 a^{-8} -12 z^6 a^{-10} -22 z^6-6 a z^5+17 z^5 a^{-1} +53 z^5 a^{-3} +73 z^5 a^{-5} +67 z^5 a^{-7} +21 z^5 a^{-9} -3 z^5 a^{-11} -a^2 z^4+14 z^4 a^{-2} -35 z^4 a^{-4} -39 z^4 a^{-6} +5 z^4 a^{-8} +11 z^4 a^{-10} +15 z^4+2 a z^3-6 z^3 a^{-1} -22 z^3 a^{-3} -41 z^3 a^{-5} -40 z^3 a^{-7} -11 z^3 a^{-9} +2 z^3 a^{-11} -z^2 a^{-2} +18 z^2 a^{-4} +14 z^2 a^{-6} -4 z^2 a^{-8} -4 z^2 a^{-10} -5 z^2+z a^{-1} +5 z a^{-3} +11 z a^{-5} +10 z a^{-7} +3 z a^{-9} -2 a^{-2} -5 a^{-4} -4 a^{-6} - a^{-8} +1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
