K13n3841
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | Data:K13n3841/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+3 t^4-t^3-7 t^2+18 t-23+18 t^{-1} -7 t^{-2} - t^{-3} +3 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n3841/Conway Polynomial |
| Determinant | 63 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10} a^{-8} +z^8 a^{-6} -9 z^8 a^{-8} +z^8 a^{-10} +8 z^6 a^{-6} -29 z^6 a^{-8} +9 z^6 a^{-10} +21 z^4 a^{-6} -46 z^4 a^{-8} +24 z^4 a^{-10} -2 z^4 a^{-12} +23 z^2 a^{-6} -40 z^2 a^{-8} +26 z^2 a^{-10} -5 z^2 a^{-12} +9 a^{-6} -16 a^{-8} +11 a^{-10} -3 a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +z^{10} a^{-6} +3 z^{10} a^{-8} +3 z^{10} a^{-10} +z^{10} a^{-12} -8 z^9 a^{-7} -7 z^9 a^{-9} +5 z^9 a^{-11} +4 z^9 a^{-13} -9 z^8 a^{-6} -29 z^8 a^{-8} -24 z^8 a^{-10} +2 z^8 a^{-12} +6 z^8 a^{-14} +18 z^7 a^{-7} +7 z^7 a^{-9} -27 z^7 a^{-11} -11 z^7 a^{-13} +5 z^7 a^{-15} +29 z^6 a^{-6} +91 z^6 a^{-8} +70 z^6 a^{-10} -12 z^6 a^{-12} -17 z^6 a^{-14} +3 z^6 a^{-16} -8 z^5 a^{-7} +30 z^5 a^{-9} +65 z^5 a^{-11} +15 z^5 a^{-13} -11 z^5 a^{-15} +z^5 a^{-17} -44 z^4 a^{-6} -119 z^4 a^{-8} -80 z^4 a^{-10} +20 z^4 a^{-12} +19 z^4 a^{-14} -6 z^4 a^{-16} -13 z^3 a^{-7} -56 z^3 a^{-9} -60 z^3 a^{-11} -9 z^3 a^{-13} +6 z^3 a^{-15} -2 z^3 a^{-17} +32 z^2 a^{-6} +68 z^2 a^{-8} +40 z^2 a^{-10} -4 z^2 a^{-12} -7 z^2 a^{-14} +z^2 a^{-16} +10 z a^{-7} +23 z a^{-9} +19 z a^{-11} +5 z a^{-13} -z a^{-15} -9 a^{-6} -16 a^{-8} -11 a^{-10} -3 a^{-12} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
