K12a1023
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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^9-3 q^8+6 q^7-11 q^6+15 q^5-18 q^4+20 q^3-18 q^2+15 q-10+6 q^{-1} -3 q^{-2} + q^{-3} } |
| 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 -2 t^4+8 t^3-16 t^2+24 t-27+24 t^{-1} -16 t^{-2} +8 t^{-3} -2 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 -2 z^8-8 z^6-8 z^4+1} |
| Determinant | 127 |
| 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} -z^8 a^{-4} -5 z^6 a^{-2} -5 z^6 a^{-4} +z^6 a^{-6} +z^6-8 z^4 a^{-2} -8 z^4 a^{-4} +4 z^4 a^{-6} +4 z^4-4 z^2 a^{-2} -4 z^2 a^{-4} +4 z^2 a^{-6} +4 z^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 z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +6 z^{10} a^{-4} +3 z^{10} a^{-6} +5 z^9 a^{-1} +5 z^9 a^{-3} +4 z^9 a^{-5} +4 z^9 a^{-7} -3 z^8 a^{-2} -18 z^8 a^{-4} -6 z^8 a^{-6} +4 z^8 a^{-8} +5 z^8+3 a z^7-14 z^7 a^{-1} -22 z^7 a^{-3} -16 z^7 a^{-5} -8 z^7 a^{-7} +3 z^7 a^{-9} +a^2 z^6-10 z^6 a^{-2} +28 z^6 a^{-4} +11 z^6 a^{-6} -9 z^6 a^{-8} +z^6 a^{-10} -16 z^6-9 a z^5+11 z^5 a^{-1} +33 z^5 a^{-3} +27 z^5 a^{-5} +5 z^5 a^{-7} -9 z^5 a^{-9} -3 a^2 z^4+21 z^4 a^{-2} -18 z^4 a^{-4} -15 z^4 a^{-6} +3 z^4 a^{-8} -3 z^4 a^{-10} +15 z^4+5 a z^3-z^3 a^{-1} -14 z^3 a^{-3} -18 z^3 a^{-5} -3 z^3 a^{-7} +7 z^3 a^{-9} +a^2 z^2-8 z^2 a^{-2} +6 z^2 a^{-4} +5 z^2 a^{-6} +z^2 a^{-8} +2 z^2 a^{-10} -7 z^2-a z-z a^{-1} +2 z a^{-3} +2 z a^{-5} -z a^{-7} -z a^{-9} +1} |
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