K13n4260
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n4260/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-19 t^2+41 t-51+41 t^{-1} -19 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4260/Conway Polynomial |
| Determinant | 179 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 3 z^6 a^{-2} +z^6-a^2 z^4+10 z^4 a^{-2} -4 z^4 a^{-4} -a^2 z^2+12 z^2 a^{-2} -8 z^2 a^{-4} +z^2 a^{-6} -3 z^2+5 a^{-2} -4 a^{-4} + a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-1} +3 z^{11} a^{-3} +16 z^{10} a^{-2} +8 z^{10} a^{-4} +8 z^{10}+8 a z^9+9 z^9 a^{-1} +8 z^9 a^{-3} +7 z^9 a^{-5} +4 a^2 z^8-49 z^8 a^{-2} -23 z^8 a^{-4} +2 z^8 a^{-6} -20 z^8+a^3 z^7-25 a z^7-52 z^7 a^{-1} -46 z^7 a^{-3} -20 z^7 a^{-5} -12 a^2 z^6+59 z^6 a^{-2} +38 z^6 a^{-4} +2 z^6 a^{-6} +11 z^6-3 a^3 z^5+24 a z^5+65 z^5 a^{-1} +73 z^5 a^{-3} +40 z^5 a^{-5} +5 z^5 a^{-7} +10 a^2 z^4-47 z^4 a^{-2} -30 z^4 a^{-4} +z^4 a^{-6} +z^4 a^{-8} -7 z^4+2 a^3 z^3-12 a z^3-39 z^3 a^{-1} -50 z^3 a^{-3} -30 z^3 a^{-5} -5 z^3 a^{-7} -3 a^2 z^2+23 z^2 a^{-2} +15 z^2 a^{-4} -z^2 a^{-8} +6 z^2+3 a z+9 z a^{-1} +12 z a^{-3} +8 z a^{-5} +2 z a^{-7} -5 a^{-2} -4 a^{-4} - a^{-6} -1 }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
