K12a1044
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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^{10}+4 q^9-9 q^8+15 q^7-22 q^6+28 q^5-30 q^4+29 q^3-24 q^2+17 q-10+5 q^{-1} - q^{-2} } |
| 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 3 t^3-18 t^2+46 t-61+46 t^{-1} -18 t^{-2} +3 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 3 z^6+z^2+1} |
| Determinant | 195 |
| 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^6 a^{-2} +z^6 a^{-4} +z^6 a^{-6} +z^4 a^{-2} -z^4 a^{-4} +2 z^4 a^{-6} -z^4 a^{-8} -z^4+z^2 a^{-2} -3 z^2 a^{-4} +4 z^2 a^{-6} -z^2 a^{-8} - a^{-4} +2 a^{-6} - a^{-8} +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 4 z^{11} a^{-5} +4 z^{11} a^{-7} +10 z^{10} a^{-4} +19 z^{10} a^{-6} +9 z^{10} a^{-8} +12 z^9 a^{-3} +5 z^9 a^{-5} +z^9 a^{-7} +8 z^9 a^{-9} +12 z^8 a^{-2} -20 z^8 a^{-4} -68 z^8 a^{-6} -32 z^8 a^{-8} +4 z^8 a^{-10} +10 z^7 a^{-1} -16 z^7 a^{-3} -37 z^7 a^{-5} -41 z^7 a^{-7} -29 z^7 a^{-9} +z^7 a^{-11} -13 z^6 a^{-2} +21 z^6 a^{-4} +88 z^6 a^{-6} +36 z^6 a^{-8} -13 z^6 a^{-10} +5 z^6+a z^5-13 z^5 a^{-1} +z^5 a^{-3} +46 z^5 a^{-5} +64 z^5 a^{-7} +30 z^5 a^{-9} -3 z^5 a^{-11} -4 z^4 a^{-2} -17 z^4 a^{-4} -45 z^4 a^{-6} -19 z^4 a^{-8} +8 z^4 a^{-10} -5 z^4+2 z^3 a^{-1} +3 z^3 a^{-3} -12 z^3 a^{-5} -28 z^3 a^{-7} -14 z^3 a^{-9} +z^3 a^{-11} +2 z^2 a^{-2} +8 z^2 a^{-4} +12 z^2 a^{-6} +5 z^2 a^{-8} -z^2 a^{-10} -z a^{-3} -z a^{-5} +2 z a^{-7} +2 z a^{-9} - a^{-4} -2 a^{-6} - a^{-8} +1} |
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