K12a1034
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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^5+3 q^4-6 q^3+10 q^2-14 q+18-18 q^{-1} +17 q^{-2} -14 q^{-3} +10 q^{-4} -6 q^{-5} +3 q^{-6} - q^{-7} } |
| Alexander polynomial | |
| 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 8 z^4+2 z^2+1} |
| Determinant | 121 |
| Signature | 0 |
| 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^2 a^6+z^4 a^4-z^2 a^4-a^4+3 z^4 a^2+3 z^2 a^2+a^2+3 z^4+3 z^2+2+z^4 a^{-2} -z^2 a^{-2} - a^{-2} -z^2 a^{-4} } |
| 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 a^3 z^{11}+a z^{11}+3 a^4 z^{10}+6 a^2 z^{10}+3 z^{10}+4 a^5 z^9+4 a^3 z^9+5 a z^9+5 z^9 a^{-1} +3 a^6 z^8-8 a^4 z^8-19 a^2 z^8+6 z^8 a^{-2} -2 z^8+a^7 z^7-15 a^5 z^7-23 a^3 z^7-22 a z^7-10 z^7 a^{-1} +5 z^7 a^{-3} -12 a^6 z^6+6 a^4 z^6+26 a^2 z^6-15 z^6 a^{-2} +3 z^6 a^{-4} -10 z^6-4 a^7 z^5+18 a^5 z^5+37 a^3 z^5+33 a z^5+6 z^5 a^{-1} -11 z^5 a^{-3} +z^5 a^{-5} +13 a^6 z^4-7 a^4 z^4-20 a^2 z^4+17 z^4 a^{-2} -6 z^4 a^{-4} +23 z^4+4 a^7 z^3-12 a^5 z^3-32 a^3 z^3-19 a z^3+6 z^3 a^{-1} +7 z^3 a^{-3} -2 z^3 a^{-5} -3 a^6 z^2+4 a^4 z^2+6 a^2 z^2-8 z^2 a^{-2} +z^2 a^{-4} -10 z^2+4 a^5 z+8 a^3 z+4 a z-2 z a^{-1} -2 z a^{-3} -a^4-a^2+ a^{-2} +2} |
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