K12a1036
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Polynomial invariants
| Jones polynomial | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{13}-4 q^{12}+9 q^{11}-15 q^{10}+20 q^9-24 q^8+24 q^7-22 q^6+18 q^5-11 q^4+7 q^3-3 q^2+q} |
| Alexander polynomial | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle -2 t^4+10 t^3-21 t^2+30 t-33+30 t^{-1} -21 t^{-2} +10 t^{-3} -2 t^{-4} } |
| Conway polynomial | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle -2 z^8-6 z^6-z^4+4 z^2+1} |
| Determinant | 159 |
| Signature | 6 |
| HOMFLY-PT polynomial | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -4 z^6 a^{-6} -4 z^6 a^{-8} +z^6 a^{-10} +4 z^4 a^{-4} -3 z^4 a^{-6} -5 z^4 a^{-8} +3 z^4 a^{-10} +4 z^2 a^{-4} +3 z^2 a^{-6} -5 z^2 a^{-8} +2 z^2 a^{-10} + a^{-4} +3 a^{-6} -4 a^{-8} + a^{-10} } |
| Kauffman polynomial | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 2 z^{11} a^{-7} +2 z^{11} a^{-9} +4 z^{10} a^{-6} +11 z^{10} a^{-8} +7 z^{10} a^{-10} +3 z^9 a^{-5} +z^9 a^{-7} +10 z^9 a^{-9} +12 z^9 a^{-11} +z^8 a^{-4} -16 z^8 a^{-6} -39 z^8 a^{-8} -7 z^8 a^{-10} +15 z^8 a^{-12} -14 z^7 a^{-5} -28 z^7 a^{-7} -46 z^7 a^{-9} -18 z^7 a^{-11} +14 z^7 a^{-13} -5 z^6 a^{-4} +18 z^6 a^{-6} +45 z^6 a^{-8} -10 z^6 a^{-10} -23 z^6 a^{-12} +9 z^6 a^{-14} +20 z^5 a^{-5} +48 z^5 a^{-7} +51 z^5 a^{-9} -19 z^5 a^{-13} +4 z^5 a^{-15} +8 z^4 a^{-4} -6 z^4 a^{-6} -27 z^4 a^{-8} +2 z^4 a^{-10} +7 z^4 a^{-12} -7 z^4 a^{-14} +z^4 a^{-16} -9 z^3 a^{-5} -29 z^3 a^{-7} -28 z^3 a^{-9} +2 z^3 a^{-11} +9 z^3 a^{-13} -z^3 a^{-15} -5 z^2 a^{-4} +4 z^2 a^{-6} +13 z^2 a^{-8} +3 z^2 a^{-10} +z^2 a^{-12} +2 z^2 a^{-14} +z a^{-5} +8 z a^{-7} +8 z a^{-9} -z a^{-13} + a^{-4} -3 a^{-6} -4 a^{-8} - a^{-10} } |
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