K12a1075
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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^8-4 q^7+9 q^6-15 q^5+21 q^4-26 q^3+28 q^2-26 q+22-15 q^{-1} +9 q^{-2} -4 q^{-3} + q^{-4} } |
| 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 -4 t^3+19 t^2-41 t+53-41 t^{-1} +19 t^{-2} -4 t^{-3} } |
| 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 -4 z^6-5 z^4-z^2+1} |
| Determinant | 181 |
| Signature | 0 |
| 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 -2 z^6 a^{-2} -z^6 a^{-4} -z^6+a^2 z^4-5 z^4 a^{-2} -z^4 a^{-4} +z^4 a^{-6} -z^4+a^2 z^2-5 z^2 a^{-2} +z^2 a^{-4} +z^2 a^{-6} +z^2-2 a^{-2} + a^{-4} +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 3 z^{11} a^{-3} +3 z^{11} a^{-5} +10 z^{10} a^{-2} +16 z^{10} a^{-4} +6 z^{10} a^{-6} +16 z^9 a^{-1} +14 z^9 a^{-3} +2 z^9 a^{-5} +4 z^9 a^{-7} -13 z^8 a^{-2} -54 z^8 a^{-4} -23 z^8 a^{-6} +z^8 a^{-8} +17 z^8+14 a z^7-33 z^7 a^{-1} -73 z^7 a^{-3} -43 z^7 a^{-5} -17 z^7 a^{-7} +9 a^2 z^6-21 z^6 a^{-2} +45 z^6 a^{-4} +24 z^6 a^{-6} -4 z^6 a^{-8} -29 z^6+4 a^3 z^5-17 a z^5+19 z^5 a^{-1} +84 z^5 a^{-3} +67 z^5 a^{-5} +23 z^5 a^{-7} +a^4 z^4-7 a^2 z^4+31 z^4 a^{-2} -z^4 a^{-4} -5 z^4 a^{-6} +5 z^4 a^{-8} +14 z^4-a^3 z^3+5 a z^3-9 z^3 a^{-1} -35 z^3 a^{-3} -32 z^3 a^{-5} -12 z^3 a^{-7} +2 a^2 z^2-14 z^2 a^{-2} -6 z^2 a^{-4} -z^2 a^{-6} -2 z^2 a^{-8} -5 z^2+2 z a^{-1} +5 z a^{-3} +5 z a^{-5} +2 z a^{-7} +2 a^{-2} + a^{-4} +2} |
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