K13n3505
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3505/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 6 t^2-20 t+29-20 t^{-1} +6 t^{-2} }[/math] |
| Conway polynomial | Data:K13n3505/Conway Polynomial |
| Determinant | 81 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^8-a^8+z^4 a^6+3 z^4 a^4+5 z^2 a^4+2 a^4+2 z^4 a^2+2 z^2 a^2-2 z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^7 z^{11}+a^5 z^{11}+2 a^8 z^{10}+7 a^6 z^{10}+5 a^4 z^{10}+a^9 z^9+a^7 z^9+10 a^5 z^9+10 a^3 z^9-12 a^8 z^8-33 a^6 z^8-12 a^4 z^8+9 a^2 z^8-7 a^9 z^7-29 a^7 z^7-70 a^5 z^7-45 a^3 z^7+3 a z^7+25 a^8 z^6+41 a^6 z^6-23 a^4 z^6-39 a^2 z^6+18 a^9 z^5+72 a^7 z^5+120 a^5 z^5+57 a^3 z^5-9 a z^5-22 a^8 z^4-9 a^6 z^4+56 a^4 z^4+44 a^2 z^4+z^4-20 a^9 z^3-63 a^7 z^3-76 a^5 z^3-30 a^3 z^3+3 a z^3+8 a^8 z^2-4 a^6 z^2-25 a^4 z^2-14 a^2 z^2-z^2+8 a^9 z+17 a^7 z+15 a^5 z+7 a^3 z+a z-a^8+2 a^4 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |