K13n3612
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3612/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+5 t^4-11 t^3+18 t^2-24 t+27-24 t^{-1} +18 t^{-2} -11 t^{-3} +5 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n3612/Conway Polynomial |
| Determinant | 145 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10}+a^2 z^8+z^8 a^{-2} -7 z^8+5 a^2 z^6+6 z^6 a^{-2} -17 z^6+7 a^2 z^4+12 z^4 a^{-2} -z^4 a^{-4} -16 z^4+a^2 z^2+9 z^2 a^{-2} -3 z^2 a^{-4} -3 z^2-2 a^2+2 a^{-2} -2 a^{-4} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a z^{11}+3 z^{11} a^{-1} +7 a^2 z^{10}+6 z^{10} a^{-2} +13 z^{10}+8 a^3 z^9-a z^9-5 z^9 a^{-1} +4 z^9 a^{-3} +7 a^4 z^8-21 a^2 z^8-27 z^8 a^{-2} +z^8 a^{-4} -56 z^8+4 a^5 z^7-21 a^3 z^7-21 a z^7-10 z^7 a^{-1} -14 z^7 a^{-3} +a^6 z^6-18 a^4 z^6+25 a^2 z^6+55 z^6 a^{-2} +2 z^6 a^{-4} +97 z^6-10 a^5 z^5+14 a^3 z^5+43 a z^5+41 z^5 a^{-1} +25 z^5 a^{-3} +3 z^5 a^{-5} -2 a^6 z^4+9 a^4 z^4-14 a^2 z^4-48 z^4 a^{-2} -11 z^4 a^{-4} -62 z^4+4 a^5 z^3-2 a^3 z^3-19 a z^3-30 z^3 a^{-1} -26 z^3 a^{-3} -9 z^3 a^{-5} -a^4 z^2+2 a^2 z^2+16 z^2 a^{-2} +7 z^2 a^{-4} +12 z^2-2 a^3 z-a z+5 z a^{-1} +9 z a^{-3} +5 z a^{-5} +2 a^2-2 a^{-2} -2 a^{-4} +3 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
