K13n142
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n142/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+19 t^2-43 t+55-43 t^{-1} +19 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n142/Conway Polynomial |
| Determinant | 185 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^2 a^{10}-2 a^{10}+4 z^4 a^8+7 z^2 a^8+3 a^8-2 z^6 a^6-4 z^4 a^6-3 z^2 a^6-2 a^6-z^6 a^4+3 z^2 a^4+2 a^4+z^4 a^2+z^2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^5 a^{13}-7 z^3 a^{13}+4 z a^{13}+z^8 a^{12}+4 z^6 a^{12}-10 z^4 a^{12}+4 z^2 a^{12}+4 z^9 a^{11}-8 z^7 a^{11}+17 z^5 a^{11}-21 z^3 a^{11}+6 z a^{11}+5 z^{10} a^{10}-10 z^8 a^{10}+15 z^6 a^{10}-7 z^4 a^{10}-5 z^2 a^{10}+2 a^{10}+2 z^{11} a^9+9 z^9 a^9-36 z^7 a^9+58 z^5 a^9-38 z^3 a^9+8 z a^9+12 z^{10} a^8-24 z^8 a^8+11 z^6 a^8+18 z^4 a^8-15 z^2 a^8+3 a^8+2 z^{11} a^7+15 z^9 a^7-53 z^7 a^7+67 z^5 a^7-36 z^3 a^7+8 z a^7+7 z^{10} a^6-5 z^8 a^6-18 z^6 a^6+28 z^4 a^6-14 z^2 a^6+2 a^6+10 z^9 a^5-21 z^7 a^5+15 z^5 a^5-9 z^3 a^5+2 z a^5+8 z^8 a^4-17 z^6 a^4+11 z^4 a^4-7 z^2 a^4+2 a^4+4 z^7 a^3-8 z^5 a^3+3 z^3 a^3+z^6 a^2-2 z^4 a^2+z^2 a^2 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
