K12a1008
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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^6-4 q^5+9 q^4-16 q^3+24 q^2-29 q+31-29 q^{-1} +24 q^{-2} -16 q^{-3} +9 q^{-4} -4 q^{-5} + q^{-6} } |
| 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+20 t^2-45 t+59-45 t^{-1} +20 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^6-4 z^4-z^2+1} |
| Determinant | 197 |
| 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 -a^2 z^6-z^6 a^{-2} -2 z^6+a^4 z^4-a^2 z^4-z^4 a^{-2} +z^4 a^{-4} -4 z^4+a^4 z^2+z^2 a^{-4} -3 z^2+a^2+ a^{-2} -1} |
| 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 a z^{11}+2 z^{11} a^{-1} +6 a^2 z^{10}+6 z^{10} a^{-2} +12 z^{10}+9 a^3 z^9+12 a z^9+12 z^9 a^{-1} +9 z^9 a^{-3} +8 a^4 z^8-3 a^2 z^8-3 z^8 a^{-2} +8 z^8 a^{-4} -22 z^8+4 a^5 z^7-19 a^3 z^7-35 a z^7-35 z^7 a^{-1} -19 z^7 a^{-3} +4 z^7 a^{-5} +a^6 z^6-20 a^4 z^6-12 a^2 z^6-12 z^6 a^{-2} -20 z^6 a^{-4} +z^6 a^{-6} +18 z^6-9 a^5 z^5+14 a^3 z^5+40 a z^5+40 z^5 a^{-1} +14 z^5 a^{-3} -9 z^5 a^{-5} -2 a^6 z^4+16 a^4 z^4+14 a^2 z^4+14 z^4 a^{-2} +16 z^4 a^{-4} -2 z^4 a^{-6} -8 z^4+4 a^5 z^3-5 a^3 z^3-24 a z^3-24 z^3 a^{-1} -5 z^3 a^{-3} +4 z^3 a^{-5} -4 a^4 z^2-3 a^2 z^2-3 z^2 a^{-2} -4 z^2 a^{-4} +2 z^2+2 a^3 z+5 a z+5 z a^{-1} +2 z a^{-3} -a^2- a^{-2} -1} |
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