K13n3441
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3441/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-15 t^2+44 t-61+44 t^{-1} -15 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3441/Conway Polynomial |
| Determinant | 183 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+4 z^2 a^8+3 a^8-5 z^4 a^6-8 z^2 a^6-4 a^6+2 z^6 a^4+5 z^4 a^4+7 z^2 a^4+2 a^4-3 z^4 a^2-2 z^2 a^2+a^2+z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-3 z^5 a^{11}+3 z^3 a^{11}-z a^{11}+4 z^8 a^{10}-12 z^6 a^{10}+12 z^4 a^{10}-5 z^2 a^{10}+a^{10}+7 z^9 a^9-18 z^7 a^9+11 z^5 a^9-z^3 a^9+6 z^{10} a^8-5 z^8 a^8-24 z^6 a^8+32 z^4 a^8-16 z^2 a^8+3 a^8+2 z^{11} a^7+14 z^9 a^7-50 z^7 a^7+41 z^5 a^7-15 z^3 a^7+2 z a^7+12 z^{10} a^6-17 z^8 a^6-19 z^6 a^6+36 z^4 a^6-21 z^2 a^6+4 a^6+2 z^{11} a^5+13 z^9 a^5-41 z^7 a^5+38 z^5 a^5-14 z^3 a^5+2 z a^5+6 z^{10} a^4-6 z^8 a^4-4 z^6 a^4+17 z^4 a^4-11 z^2 a^4+2 a^4+6 z^9 a^3-10 z^7 a^3+16 z^5 a^3-6 z^3 a^3+z a^3+2 z^8 a^2+3 z^6 a^2+2 z^4 a^2-2 z^2 a^2-a^2+5 z^5 a-3 z^3 a+z^4-z^2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
