K13n4232
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n4232/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-17 t^2+31 t-37+31 t^{-1} -17 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4232/Conway Polynomial |
| Determinant | 147 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-2 z^2 a^8-a^8+2 z^6 a^6+7 z^4 a^6+8 z^2 a^6+3 a^6-z^8 a^4-5 z^6 a^4-10 z^4 a^4-9 z^2 a^4-4 a^4+z^6 a^2+3 z^4 a^2+4 z^2 a^2+3 a^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}-13 z^6 a^{10}+12 z^4 a^{10}-3 z^2 a^{10}+6 z^9 a^9-16 z^7 a^9+6 z^5 a^9+4 z^3 a^9-z a^9+5 z^{10} a^8-8 z^8 a^8-9 z^6 a^8+10 z^4 a^8-a^8+2 z^{11} a^7+5 z^9 a^7-25 z^7 a^7+19 z^5 a^7-7 z^3 a^7+2 z a^7+10 z^{10} a^6-29 z^8 a^6+34 z^6 a^6-29 z^4 a^6+14 z^2 a^6-3 a^6+2 z^{11} a^5+3 z^9 a^5-18 z^7 a^5+27 z^5 a^5-18 z^3 a^5+5 z a^5+5 z^{10} a^4-16 z^8 a^4+34 z^6 a^4-33 z^4 a^4+17 z^2 a^4-4 a^4+4 z^9 a^3-10 z^7 a^3+21 z^5 a^3-14 z^3 a^3+4 z a^3+z^8 a^2+4 z^6 a^2-5 z^4 a^2+5 z^2 a^2-3 a^2+4 z^5 a-4 z^3 a+z 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. |
