K13n1364
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n1364/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-18 t^2+34 t-41+34 t^{-1} -18 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1364/Conway Polynomial |
| Determinant | 159 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^6 z^6-6 a^4 z^6+3 a^2 z^6+4 a^6 z^4-17 a^4 z^4+13 a^2 z^4-2 z^4+7 a^6 z^2-23 a^4 z^2+21 a^2 z^2-5 z^2+4 a^6-12 a^4+12 a^2-3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+6 a^6 z^{10}+11 a^4 z^{10}+5 a^2 z^{10}+8 a^7 z^9+8 a^5 z^9+4 a^3 z^9+4 a z^9+6 a^8 z^8-12 a^6 z^8-36 a^4 z^8-17 a^2 z^8+z^8+3 a^9 z^7-23 a^7 z^7-41 a^5 z^7-26 a^3 z^7-11 a z^7+a^{10} z^6-15 a^8 z^6+9 a^6 z^6+62 a^4 z^6+41 a^2 z^6+4 z^6-7 a^9 z^5+32 a^7 z^5+79 a^5 z^5+60 a^3 z^5+23 a z^5+3 z^5 a^{-1} -3 a^{10} z^4+12 a^8 z^4-2 a^6 z^4-56 a^4 z^4-53 a^2 z^4-14 z^4+3 a^9 z^3-29 a^7 z^3-70 a^5 z^3-59 a^3 z^3-28 a z^3-7 z^3 a^{-1} +2 a^{10} z^2-5 a^8 z^2+2 a^6 z^2+34 a^4 z^2+36 a^2 z^2+11 z^2+10 a^7 z+25 a^5 z+23 a^3 z+11 a z+3 z a^{-1} -4 a^6-12 a^4-12 a^2-3 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
