K12a1072
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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+4-9 q^{-1} +18 q^{-2} -27 q^{-3} +35 q^{-4} -38 q^{-5} +37 q^{-6} -31 q^{-7} +22 q^{-8} -13 q^{-9} +5 q^{-10} - q^{-11} } |
| 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^4-11 t^3+30 t^2-49 t+57-49 t^{-1} +30 t^{-2} -11 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+5 z^6+4 z^4+4 z^2+1} |
| Determinant | 241 |
| Signature | -4 |
| 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^6 a^8-2 z^4 a^8-z^2 a^8-a^8+z^8 a^6+3 z^6 a^6+2 z^4 a^6+z^8 a^4+4 z^6 a^4+7 z^4 a^4+7 z^2 a^4+2 a^4-z^6 a^2-3 z^4 a^2-2 z^2 a^2} |
| 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 z^5 a^{13}+5 z^6 a^{12}-2 z^4 a^{12}+13 z^7 a^{11}-14 z^5 a^{11}+5 z^3 a^{11}-z a^{11}+20 z^8 a^{10}-29 z^6 a^{10}+14 z^4 a^{10}-3 z^2 a^{10}+19 z^9 a^9-23 z^7 a^9+2 z^5 a^9+2 z a^9+11 z^{10} a^8+3 z^8 a^8-34 z^6 a^8+19 z^4 a^8-a^8+3 z^{11} a^7+24 z^9 a^7-63 z^7 a^7+46 z^5 a^7-17 z^3 a^7+4 z a^7+18 z^{10} a^6-33 z^8 a^6+9 z^6 a^6+7 z^4 a^6-3 z^2 a^6+3 z^{11} a^5+12 z^9 a^5-48 z^7 a^5+50 z^5 a^5-20 z^3 a^5+2 z a^5+7 z^{10} a^4-12 z^8 a^4-4 z^6 a^4+17 z^4 a^4-10 z^2 a^4+2 a^4+7 z^9 a^3-20 z^7 a^3+18 z^5 a^3-6 z^3 a^3+z a^3+4 z^8 a^2-13 z^6 a^2+13 z^4 a^2-4 z^2 a^2+z^7 a-3 z^5 a+2 z^3 a} |
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