K13n3773
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Polynomial invariants
| Jones polynomial | Data:K13n3773/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-4 t^4+7 t^3-4 t^2-3 t+7-3 t^{-1} -4 t^{-2} +7 t^{-3} -4 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n3773/Conway Polynomial |
| Determinant | 19 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-6} -z^8 a^{-4} +8 z^8 a^{-6} -z^8 a^{-8} -6 z^6 a^{-4} +24 z^6 a^{-6} -8 z^6 a^{-8} -11 z^4 a^{-4} +37 z^4 a^{-6} -20 z^4 a^{-8} +2 z^4 a^{-10} -7 z^2 a^{-4} +29 z^2 a^{-6} -21 z^2 a^{-8} +4 z^2 a^{-10} - a^{-4} +8 a^{-6} -8 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +3 z^{10} a^{-4} +9 z^{10} a^{-6} +6 z^{10} a^{-8} +z^9 a^{-3} -7 z^9 a^{-5} -4 z^9 a^{-7} +5 z^9 a^{-9} +z^9 a^{-11} -19 z^8 a^{-4} -58 z^8 a^{-6} -41 z^8 a^{-8} +z^8 a^{-10} +3 z^8 a^{-12} -6 z^7 a^{-3} -10 z^7 a^{-5} -36 z^7 a^{-7} -39 z^7 a^{-9} -4 z^7 a^{-11} +3 z^7 a^{-13} +40 z^6 a^{-4} +116 z^6 a^{-6} +77 z^6 a^{-8} -12 z^6 a^{-10} -12 z^6 a^{-12} +z^6 a^{-14} +12 z^5 a^{-3} +48 z^5 a^{-5} +101 z^5 a^{-7} +75 z^5 a^{-9} -z^5 a^{-11} -11 z^5 a^{-13} -36 z^4 a^{-4} -98 z^4 a^{-6} -60 z^4 a^{-8} +13 z^4 a^{-10} +8 z^4 a^{-12} -3 z^4 a^{-14} -10 z^3 a^{-3} -44 z^3 a^{-5} -81 z^3 a^{-7} -54 z^3 a^{-9} +7 z^3 a^{-13} +13 z^2 a^{-4} +41 z^2 a^{-6} +30 z^2 a^{-8} -z^2 a^{-10} -2 z^2 a^{-12} +z^2 a^{-14} +3 z a^{-3} +11 z a^{-5} +21 z a^{-7} +15 z a^{-9} +z a^{-11} -z a^{-13} - a^{-4} -8 a^{-6} -8 a^{-8} -2 a^{-10} }[/math] |
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