K13n4052
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n4052/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+20 t^2-37 t+45-37 t^{-1} +20 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4052/Conway Polynomial |
| Determinant | 173 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{10}+z^2 a^{10}-2 z^6 a^8-6 z^4 a^8-6 z^2 a^8-2 a^8+z^8 a^6+5 z^6 a^6+11 z^4 a^6+10 z^2 a^6+2 a^6-z^6 a^4-2 z^4 a^4+a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{14}-z^4 a^{14}+5 z^7 a^{13}-9 z^5 a^{13}+2 z^3 a^{13}+z a^{13}+10 z^8 a^{12}-21 z^6 a^{12}+8 z^4 a^{12}+11 z^9 a^{11}-22 z^7 a^{11}+10 z^5 a^{11}-5 z^3 a^{11}+z a^{11}+7 z^{10} a^{10}-6 z^8 a^{10}-11 z^6 a^{10}+10 z^4 a^{10}-3 z^2 a^{10}+2 z^{11} a^9+12 z^9 a^9-42 z^7 a^9+49 z^5 a^9-23 z^3 a^9+4 z a^9+11 z^{10} a^8-28 z^8 a^8+32 z^6 a^8-13 z^4 a^8+6 z^2 a^8-2 a^8+2 z^{11} a^7+3 z^9 a^7-17 z^7 a^7+33 z^5 a^7-19 z^3 a^7+4 z a^7+4 z^{10} a^6-12 z^8 a^6+26 z^6 a^6-23 z^4 a^6+10 z^2 a^6-2 a^6+2 z^9 a^5-2 z^7 a^5+4 z^5 a^5-5 z^3 a^5+5 z^6 a^4-9 z^4 a^4+z^2 a^4+a^4+z^5 a^3-2 z^3 a^3 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
