K14a10554
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K14a10554/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-30 t^2+81 t-109+81 t^{-1} -30 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K14a10554/Conway Polynomial |
| Determinant | Data:K14a10554/Determinant |
| Signature | Data:K14a10554/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8-2 z^4 a^6+a^6+z^6 a^4-2 z^4 a^4-3 z^2 a^4-a^4+2 z^6 a^2+z^4 a^2+z^6-z^4-z^2-2 z^4 a^{-2} -z^2 a^{-2} + a^{-2} +z^2 a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{13}+a z^{13}+4 a^4 z^{12}+8 a^2 z^{12}+4 z^{12}+8 a^5 z^{11}+14 a^3 z^{11}+13 a z^{11}+7 z^{11} a^{-1} +11 a^6 z^{10}+8 a^4 z^{10}-11 a^2 z^{10}+7 z^{10} a^{-2} -z^{10}+11 a^7 z^9-5 a^5 z^9-44 a^3 z^9-55 a z^9-23 z^9 a^{-1} +4 z^9 a^{-3} +8 a^8 z^8-17 a^6 z^8-38 a^4 z^8-19 a^2 z^8-29 z^8 a^{-2} +z^8 a^{-4} -36 z^8+4 a^9 z^7-20 a^7 z^7-13 a^5 z^7+55 a^3 z^7+80 a z^7+19 z^7 a^{-1} -17 z^7 a^{-3} +a^{10} z^6-15 a^8 z^6+10 a^6 z^6+54 a^4 z^6+53 a^2 z^6+37 z^6 a^{-2} -4 z^6 a^{-4} +66 z^6-8 a^9 z^5+14 a^7 z^5+22 a^5 z^5-32 a^3 z^5-57 a z^5-5 z^5 a^{-1} +20 z^5 a^{-3} -2 a^{10} z^4+8 a^8 z^4-6 a^6 z^4-35 a^4 z^4-42 a^2 z^4-19 z^4 a^{-2} +4 z^4 a^{-4} -46 z^4+4 a^9 z^3-8 a^7 z^3-11 a^5 z^3+8 a^3 z^3+16 a z^3+3 z^3 a^{-1} -6 z^3 a^{-3} +a^{10} z^2-2 a^8 z^2+4 a^6 z^2+12 a^4 z^2+9 a^2 z^2+5 z^2 a^{-2} -z^2 a^{-4} +10 z^2+2 a^7 z+2 a^5 z-a z-z a^{-1} -a^6-a^4- a^{-2} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
