K13n2420
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n2420/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-14 t^2+19 t-21+19 t^{-1} -14 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2420/Conway Polynomial |
| Determinant | 103 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{12}-4 z^2 a^{12}-3 a^{12}+2 z^6 a^{10}+9 z^4 a^{10}+12 z^2 a^{10}+5 a^{10}-z^8 a^8-5 z^6 a^8-9 z^4 a^8-9 z^2 a^8-4 a^8+2 z^6 a^6+9 z^4 a^6+11 z^2 a^6+3 a^6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{17}-3 z^3 a^{17}+2 z a^{17}+2 z^6 a^{16}-4 z^4 a^{16}+z^2 a^{16}+3 z^7 a^{15}-5 z^5 a^{15}+2 z^3 a^{15}-z a^{15}+4 z^8 a^{14}-9 z^6 a^{14}+11 z^4 a^{14}-5 z^2 a^{14}+4 z^9 a^{13}-10 z^7 a^{13}+14 z^5 a^{13}-5 z^3 a^{13}+z a^{13}+3 z^{10} a^{12}-8 z^8 a^{12}+15 z^6 a^{12}-15 z^4 a^{12}+13 z^2 a^{12}-3 a^{12}+z^{11} a^{11}+2 z^9 a^{11}-12 z^7 a^{11}+22 z^5 a^{11}-14 z^3 a^{11}+3 z a^{11}+5 z^{10} a^{10}-20 z^8 a^{10}+42 z^6 a^{10}-49 z^4 a^{10}+25 z^2 a^{10}-5 a^{10}+z^{11} a^9-z^9 a^9-2 z^5 a^9-z^3 a^9-z a^9+2 z^{10} a^8-8 z^8 a^8+19 z^6 a^8-31 z^4 a^8+19 z^2 a^8-4 a^8+z^9 a^7-z^7 a^7-4 z^5 a^7+3 z^3 a^7+3 z^6 a^6-12 z^4 a^6+13 z^2 a^6-3 a^6 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
