K13n2367
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2367/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+16 t^2-37 t+49-37 t^{-1} +16 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2367/Conway Polynomial |
| Determinant | 161 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -2 z^6+4 a^2 z^4-z^4 a^{-2} +z^4 a^{-4} -6 z^4-2 a^4 z^2+9 a^2 z^2+z^2 a^{-2} +z^2 a^{-4} -9 z^2-2 a^4+6 a^2+2 a^{-2} -5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+4 z^{10} a^{-2} +7 z^{10}+3 a^3 z^9+7 a z^9+11 z^9 a^{-1} +7 z^9 a^{-3} +a^4 z^8-4 a^2 z^8+2 z^8 a^{-2} +7 z^8 a^{-4} -10 z^8-4 a^3 z^7-15 a z^7-26 z^7 a^{-1} -11 z^7 a^{-3} +4 z^7 a^{-5} +4 a^4 z^6+14 a^2 z^6-13 z^6 a^{-2} -15 z^6 a^{-4} +z^6 a^{-6} +13 z^6+3 a^5 z^5+7 a^3 z^5+17 a z^5+25 z^5 a^{-1} +3 z^5 a^{-3} -9 z^5 a^{-5} -12 a^4 z^4-27 a^2 z^4+4 z^4 a^{-2} +8 z^4 a^{-4} -2 z^4 a^{-6} -21 z^4-6 a^5 z^3-10 a^3 z^3-11 a z^3-15 z^3 a^{-1} -3 z^3 a^{-3} +5 z^3 a^{-5} +8 a^4 z^2+22 a^2 z^2+3 z^2 a^{-2} -z^2 a^{-4} +z^2 a^{-6} +19 z^2+2 a^5 z+4 a^3 z+4 a z+4 z a^{-1} +2 z a^{-3} -2 a^4-6 a^2-2 a^{-2} -5 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
