K12a164
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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^7-13 q^6+19 q^5-24 q^4+28 q^3-25 q^2+22 q-16+9 q^{-1} -4 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 -t^4+7 t^3-20 t^2+36 t-43+36 t^{-1} -20 t^{-2} +7 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+2 z^4+3 z^2+1} |
| Determinant | 171 |
| 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} -5 z^6 a^{-2} +3 z^6 a^{-4} +z^6-11 z^4 a^{-2} +13 z^4 a^{-4} -3 z^4 a^{-6} +3 z^4-12 z^2 a^{-2} +21 z^2 a^{-4} -10 z^2 a^{-6} +z^2 a^{-8} +3 z^2-5 a^{-2} +12 a^{-4} -9 a^{-6} +2 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 z^{11} a^{-3} +z^{11} a^{-5} +4 z^{10} a^{-2} +7 z^{10} a^{-4} +3 z^{10} a^{-6} +7 z^9 a^{-1} +12 z^9 a^{-3} +9 z^9 a^{-5} +4 z^9 a^{-7} +5 z^8 a^{-2} -3 z^8 a^{-4} +3 z^8 a^{-6} +4 z^8 a^{-8} +7 z^8+4 a z^7-8 z^7 a^{-1} -24 z^7 a^{-3} -16 z^7 a^{-5} -z^7 a^{-7} +3 z^7 a^{-9} +a^2 z^6-24 z^6 a^{-2} -17 z^6 a^{-4} -16 z^6 a^{-6} -7 z^6 a^{-8} +z^6 a^{-10} -14 z^6-9 a z^5-7 z^5 a^{-1} +9 z^5 a^{-3} -z^5 a^{-5} -17 z^5 a^{-7} -9 z^5 a^{-9} -2 a^2 z^4+22 z^4 a^{-2} +31 z^4 a^{-4} +22 z^4 a^{-6} +z^4 a^{-8} -3 z^4 a^{-10} +7 z^4+6 a z^3+9 z^3 a^{-1} +10 z^3 a^{-3} +26 z^3 a^{-5} +28 z^3 a^{-7} +9 z^3 a^{-9} +a^2 z^2-14 z^2 a^{-2} -26 z^2 a^{-4} -17 z^2 a^{-6} +2 z^2 a^{-10} -2 z^2-a z-4 z a^{-1} -9 z a^{-3} -17 z a^{-5} -15 z a^{-7} -4 z a^{-9} +5 a^{-2} +12 a^{-4} +9 a^{-6} +2 a^{-8} +1} |
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