K12n600
From Knot Atlas
Jump to navigationJump to search
Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -3 q^{12}+5 q^{11}-8 q^{10}+11 q^9-10 q^8+10 q^7-8 q^6+5 q^5-2 q^4+q^3 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-9 t^2+12 t-13+12 t^{-1} -9 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 4 z^6+15 z^4+12 z^2+1 }[/math] |
| Determinant | 63 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +2 z^6 a^{-8} +z^6 a^{-10} +4 z^4 a^{-6} +8 z^4 a^{-8} +4 z^4 a^{-10} -z^4 a^{-12} +4 z^2 a^{-6} +8 z^2 a^{-8} +5 z^2 a^{-10} -5 z^2 a^{-12} +2 a^{-8} +3 a^{-10} -5 a^{-12} + a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-10} +z^{10} a^{-12} +2 z^9 a^{-9} +3 z^9 a^{-11} +z^9 a^{-13} +3 z^8 a^{-8} -2 z^8 a^{-10} -5 z^8 a^{-12} +2 z^7 a^{-7} -4 z^7 a^{-9} -9 z^7 a^{-11} -3 z^7 a^{-13} +z^6 a^{-6} -10 z^6 a^{-8} +9 z^6 a^{-10} +23 z^6 a^{-12} +3 z^6 a^{-14} -6 z^5 a^{-7} +4 z^5 a^{-9} +20 z^5 a^{-11} +10 z^5 a^{-13} -4 z^4 a^{-6} +13 z^4 a^{-8} -19 z^4 a^{-10} -40 z^4 a^{-12} -4 z^4 a^{-14} +4 z^3 a^{-7} -6 z^3 a^{-9} -21 z^3 a^{-11} -6 z^3 a^{-13} +5 z^3 a^{-15} +4 z^2 a^{-6} -10 z^2 a^{-8} +12 z^2 a^{-10} +31 z^2 a^{-12} +5 z^2 a^{-14} +6 z a^{-11} -6 z a^{-15} +2 a^{-8} -3 a^{-10} -5 a^{-12} - a^{-14} }[/math] |
Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Large Knot Page master template. Back to the top. |
