K13n1622
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1622/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-12 t^2+16 t-17+16 t^{-1} -12 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1622/Conway Polynomial |
| Determinant | 87 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^{12}-z^4 a^{10}-5 z^2 a^{10}-5 a^{10}+2 z^6 a^8+9 z^4 a^8+12 z^2 a^8+6 a^8-z^8 a^6-5 z^6 a^6-8 z^4 a^6-6 z^2 a^6-3 a^6+z^6 a^4+4 z^4 a^4+5 z^2 a^4+2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^3 a^{13}+z^8 a^{12}-3 z^6 a^{12}+5 z^4 a^{12}-3 z^2 a^{12}+a^{12}+3 z^9 a^{11}-10 z^7 a^{11}+6 z^5 a^{11}+7 z^3 a^{11}-5 z a^{11}+3 z^{10} a^{10}-7 z^8 a^{10}-9 z^6 a^{10}+28 z^4 a^{10}-22 z^2 a^{10}+5 a^{10}+z^{11} a^9+5 z^9 a^9-32 z^7 a^9+35 z^5 a^9-7 z^3 a^9-3 z a^9+6 z^{10} a^8-18 z^8 a^8-5 z^6 a^8+37 z^4 a^8-27 z^2 a^8+6 a^8+z^{11} a^7+5 z^9 a^7-36 z^7 a^7+49 z^5 a^7-22 z^3 a^7+3 z a^7+3 z^{10} a^6-9 z^8 a^6-4 z^6 a^6+23 z^4 a^6-15 z^2 a^6+3 a^6+3 z^9 a^5-14 z^7 a^5+20 z^5 a^5-10 z^3 a^5+z a^5+z^8 a^4-5 z^6 a^4+9 z^4 a^4-7 z^2 a^4+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. |
