K12a1046
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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+9 q^7-16 q^6+24 q^5-30 q^4+32 q^3-30 q^2+25 q-17+10 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^3-17 t^2+49 t-67+49 t^{-1} -17 t^{-2} +2 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 2 z^6-5 z^4-z^2+1} |
| Determinant | 203 |
| 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^4 a^{-2} -2 z^4 a^{-6} -2 z^4+a^2 z^2-3 z^2 a^{-2} +z^2 a^{-4} -z^2 a^{-6} +z^2 a^{-8} -2 a^{-2} + a^{-4} +2} |
| 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} +13 z^{10} a^{-4} +7 z^{10} a^{-6} +9 z^9 a^{-1} +15 z^9 a^{-3} +16 z^9 a^{-5} +10 z^9 a^{-7} +z^8 a^{-2} -22 z^8 a^{-4} -7 z^8 a^{-6} +8 z^8 a^{-8} +8 z^8+4 a z^7-15 z^7 a^{-1} -45 z^7 a^{-3} -55 z^7 a^{-5} -25 z^7 a^{-7} +4 z^7 a^{-9} +a^2 z^6-23 z^6 a^{-2} +4 z^6 a^{-4} -12 z^6 a^{-6} -20 z^6 a^{-8} +z^6 a^{-10} -17 z^6-8 a z^5+7 z^5 a^{-1} +50 z^5 a^{-3} +68 z^5 a^{-5} +24 z^5 a^{-7} -9 z^5 a^{-9} -2 a^2 z^4+25 z^4 a^{-2} +18 z^4 a^{-4} +24 z^4 a^{-6} +15 z^4 a^{-8} -2 z^4 a^{-10} +12 z^4+4 a z^3-6 z^3 a^{-1} -27 z^3 a^{-3} -31 z^3 a^{-5} -11 z^3 a^{-7} +3 z^3 a^{-9} +a^2 z^2-14 z^2 a^{-2} -10 z^2 a^{-4} -8 z^2 a^{-6} -5 z^2 a^{-8} -6 z^2+2 z a^{-1} +5 z a^{-3} +5 z a^{-5} +2 z a^{-7} +2 a^{-2} + a^{-4} +2} |
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