K13n1080
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1080/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-9 t^3+24 t^2-41 t+49-41 t^{-1} +24 t^{-2} -9 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1080/Conway Polynomial |
| Determinant | 201 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^{10}+2 a^{10}-z^6 a^8-5 z^4 a^8-11 z^2 a^8-8 a^8+z^8 a^6+5 z^6 a^6+12 z^4 a^6+15 z^2 a^6+7 a^6+z^8 a^4+4 z^6 a^4+6 z^4 a^4+4 z^2 a^4+a^4-z^6 a^2-3 z^4 a^2-3 z^2 a^2-a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^4 a^{12}-2 z^2 a^{12}+z^7 a^{11}+9 z^5 a^{11}-11 z^3 a^{11}+4 z a^{11}+6 z^8 a^{10}-4 z^6 a^{10}+6 z^4 a^{10}-2 z^2 a^{10}-2 a^{10}+11 z^9 a^9-27 z^7 a^9+52 z^5 a^9-50 z^3 a^9+19 z a^9+8 z^{10} a^8-9 z^8 a^8+6 z^6 a^8-10 z^4 a^8+14 z^2 a^8-8 a^8+2 z^{11} a^7+20 z^9 a^7-66 z^7 a^7+85 z^5 a^7-65 z^3 a^7+22 z a^7+14 z^{10} a^6-24 z^8 a^6+z^6 a^6+z^4 a^6+10 z^2 a^6-7 a^6+2 z^{11} a^5+16 z^9 a^5-57 z^7 a^5+56 z^5 a^5-29 z^3 a^5+8 z a^5+6 z^{10} a^4-5 z^8 a^4-21 z^6 a^4+26 z^4 a^4-9 z^2 a^4+a^4+7 z^9 a^3-18 z^7 a^3+11 z^5 a^3+4 z^8 a^2-12 z^6 a^2+12 z^4 a^2-5 z^2 a^2+a^2+z^7 a-3 z^5 a+3 z^3 a-z a }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
