K12a1020
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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+5 q^7-14 q^6+26 q^5-38 q^4+48 q^3-51 q^2+48 q-39+27 q^{-1} -15 q^{-2} +6 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 -t^4+9 t^3-34 t^2+71 t-89+71 t^{-1} -34 t^{-2} +9 t^{-3} - 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 -z^8+z^6+1} |
| Determinant | 319 |
| Signature | 2 |
| 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^{-2} -3 z^6 a^{-2} +2 z^6 a^{-4} +2 z^6-a^2 z^4-5 z^4 a^{-2} +4 z^4 a^{-4} -z^4 a^{-6} +3 z^4-3 z^2 a^{-2} +4 z^2 a^{-4} -z^2 a^{-6} +a^2+2 a^{-4} - a^{-6} -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 6 z^{11} a^{-1} +6 z^{11} a^{-3} +35 z^{10} a^{-2} +20 z^{10} a^{-4} +15 z^{10}+14 a z^9+26 z^9 a^{-1} +41 z^9 a^{-3} +29 z^9 a^{-5} +6 a^2 z^8-64 z^8 a^{-2} -8 z^8 a^{-4} +25 z^8 a^{-6} -25 z^8+a^3 z^7-34 a z^7-99 z^7 a^{-1} -122 z^7 a^{-3} -44 z^7 a^{-5} +14 z^7 a^{-7} -12 a^2 z^6+4 z^6 a^{-2} -43 z^6 a^{-4} -35 z^6 a^{-6} +5 z^6 a^{-8} -5 z^6-a^3 z^5+24 a z^5+83 z^5 a^{-1} +93 z^5 a^{-3} +22 z^5 a^{-5} -12 z^5 a^{-7} +z^5 a^{-9} +6 a^2 z^4+26 z^4 a^{-2} +38 z^4 a^{-4} +21 z^4 a^{-6} -z^4 a^{-8} +16 z^4-3 a z^3-19 z^3 a^{-1} -26 z^3 a^{-3} -5 z^3 a^{-5} +5 z^3 a^{-7} +a^2 z^2-7 z^2 a^{-2} -12 z^2 a^{-4} -6 z^2 a^{-6} -a z+2 z a^{-3} -z a^{-7} -a^2+2 a^{-4} + a^{-6} -1} |
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