K12a852
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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^9-4 q^8+10 q^7-18 q^6+25 q^5-31 q^4+33 q^3-30 q^2+25 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 -2 t^4+10 t^3-25 t^2+42 t-49+42 t^{-1} -25 t^{-2} +10 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^8-6 z^6-5 z^4+1} |
| Determinant | 207 |
| 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} -4 z^6 a^{-2} -4 z^6 a^{-4} +z^6 a^{-6} +z^6-5 z^4 a^{-2} -6 z^4 a^{-4} +3 z^4 a^{-6} +3 z^4-5 z^2 a^{-4} +3 z^2 a^{-6} +2 z^2+3 a^{-2} -3 a^{-4} + a^{-6} } |
| 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^{-3} +2 z^{11} a^{-5} +6 z^{10} a^{-2} +12 z^{10} a^{-4} +6 z^{10} a^{-6} +9 z^9 a^{-1} +13 z^9 a^{-3} +13 z^9 a^{-5} +9 z^9 a^{-7} -z^8 a^{-2} -16 z^8 a^{-4} +z^8 a^{-6} +8 z^8 a^{-8} +8 z^8+4 a z^7-18 z^7 a^{-1} -32 z^7 a^{-3} -27 z^7 a^{-5} -13 z^7 a^{-7} +4 z^7 a^{-9} +a^2 z^6-17 z^6 a^{-2} +6 z^6 a^{-4} -15 z^6 a^{-6} -16 z^6 a^{-8} +z^6 a^{-10} -20 z^6-9 a z^5+12 z^5 a^{-1} +27 z^5 a^{-3} +16 z^5 a^{-5} +2 z^5 a^{-7} -8 z^5 a^{-9} -2 a^2 z^4+20 z^4 a^{-2} -5 z^4 a^{-4} +6 z^4 a^{-6} +10 z^4 a^{-8} -2 z^4 a^{-10} +17 z^4+4 a z^3-2 z^3 a^{-1} -11 z^3 a^{-3} -9 z^3 a^{-5} +z^3 a^{-7} +5 z^3 a^{-9} -3 z^2 a^{-2} +6 z^2 a^{-4} +z^2 a^{-6} -2 z^2 a^{-8} +z^2 a^{-10} -5 z^2+z a^{-1} +4 z a^{-3} +4 z a^{-5} -z a^{-9} -3 a^{-2} -3 a^{-4} - a^{-6} } |
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