K12a1030
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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+3 q^5-6 q^4+9 q^3-11 q^2+13 q-13+12 q^{-1} -9 q^{-2} +7 q^{-3} -4 q^{-4} +2 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^3-13 t^2+19 t-19+19 t^{-1} -13 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+11 z^4+3 z^2+1} |
| Determinant | 91 |
| Signature | 2 |
| HOMFLY-PT polynomial | |
| 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 a^3 z^{11}+a z^{11}+2 a^4 z^{10}+5 a^2 z^{10}+3 z^{10}+a^5 z^9-2 a^3 z^9+3 a z^9+6 z^9 a^{-1} -13 a^4 z^8-24 a^2 z^8+9 z^8 a^{-2} -2 z^8-7 a^5 z^7-11 a^3 z^7-26 a z^7-12 z^7 a^{-1} +10 z^7 a^{-3} +29 a^4 z^6+33 a^2 z^6-21 z^6 a^{-2} +9 z^6 a^{-4} -26 z^6+17 a^5 z^5+34 a^3 z^5+35 a z^5-7 z^5 a^{-1} -19 z^5 a^{-3} +6 z^5 a^{-5} -26 a^4 z^4-11 a^2 z^4+11 z^4 a^{-2} -13 z^4 a^{-4} +3 z^4 a^{-6} +42 z^4-16 a^5 z^3-27 a^3 z^3-10 a z^3+13 z^3 a^{-1} +7 z^3 a^{-3} -4 z^3 a^{-5} +z^3 a^{-7} +9 a^4 z^2-7 z^2 a^{-2} +5 z^2 a^{-4} -21 z^2+4 a^5 z+6 a^3 z-4 z a^{-1} -z a^{-3} +z a^{-5} -a^4+2 a^{-2} +4} |
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