K12a1010
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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}+3 q^9-7 q^8+14 q^7-21 q^6+27 q^5-31 q^4+30 q^3-25 q^2+19 q-11+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 4 t^3-20 t^2+45 t-57+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 | 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} +2 z^6 a^{-4} +z^6 a^{-6} +4 z^4 a^{-4} +2 z^4 a^{-6} -z^4 a^{-8} -z^4-2 z^2 a^{-2} +2 z^2 a^{-4} +3 z^2 a^{-6} -2 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 2 z^{11} a^{-5} +2 z^{11} a^{-7} +7 z^{10} a^{-4} +12 z^{10} a^{-6} +5 z^{10} a^{-8} +13 z^9 a^{-3} +15 z^9 a^{-5} +7 z^9 a^{-7} +5 z^9 a^{-9} +15 z^8 a^{-2} +4 z^8 a^{-4} -27 z^8 a^{-6} -13 z^8 a^{-8} +3 z^8 a^{-10} +11 z^7 a^{-1} -15 z^7 a^{-3} -41 z^7 a^{-5} -33 z^7 a^{-7} -17 z^7 a^{-9} +z^7 a^{-11} -22 z^6 a^{-2} -27 z^6 a^{-4} +24 z^6 a^{-6} +13 z^6 a^{-8} -11 z^6 a^{-10} +5 z^6+a z^5-13 z^5 a^{-1} +z^5 a^{-3} +35 z^5 a^{-5} +45 z^5 a^{-7} +21 z^5 a^{-9} -4 z^5 a^{-11} +10 z^4 a^{-2} +19 z^4 a^{-4} -16 z^4 a^{-6} -9 z^4 a^{-8} +12 z^4 a^{-10} -4 z^4+2 z^3 a^{-1} -14 z^3 a^{-5} -30 z^3 a^{-7} -14 z^3 a^{-9} +4 z^3 a^{-11} -4 z^2 a^{-2} -z^2 a^{-4} +9 z^2 a^{-6} +2 z^2 a^{-8} -4 z^2 a^{-10} +z a^{-3} +5 z a^{-5} +8 z a^{-7} +4 z a^{-9} - a^{-4} -2 a^{-6} - a^{-8} +1} |
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