K12a1192
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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^3-5 q^2+12 q-20+29 q^{-1} -34 q^{-2} +36 q^{-3} -33 q^{-4} +26 q^{-5} -17 q^{-6} +9 q^{-7} -4 q^{-8} + q^{-9} } |
| 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 -2 z^8-5 z^6-2 z^4+z^2+1} |
| Determinant | 227 |
| 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 -a^4 z^8-a^2 z^8+a^6 z^6-4 a^4 z^6-3 a^2 z^6+z^6+3 a^6 z^4-6 a^4 z^4-a^2 z^4+2 z^4+2 a^6 z^2-4 a^4 z^2+3 a^2 z^2-a^4+2 a^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 3 a^5 z^{11}+3 a^3 z^{11}+8 a^6 z^{10}+17 a^4 z^{10}+9 a^2 z^{10}+10 a^7 z^9+13 a^5 z^9+16 a^3 z^9+13 a z^9+8 a^8 z^8-10 a^6 z^8-34 a^4 z^8-5 a^2 z^8+11 z^8+4 a^9 z^7-22 a^7 z^7-44 a^5 z^7-46 a^3 z^7-23 a z^7+5 z^7 a^{-1} +a^{10} z^6-19 a^8 z^6-a^6 z^6+26 a^4 z^6-16 a^2 z^6+z^6 a^{-2} -22 z^6-9 a^9 z^5+19 a^7 z^5+53 a^5 z^5+41 a^3 z^5+8 a z^5-8 z^5 a^{-1} -2 a^{10} z^4+14 a^8 z^4+10 a^6 z^4-7 a^4 z^4+11 a^2 z^4-z^4 a^{-2} +11 z^4+4 a^9 z^3-7 a^7 z^3-26 a^5 z^3-18 a^3 z^3-a z^3+2 z^3 a^{-1} -3 a^8 z^2-4 a^6 z^2+a^4 z^2+a^2 z^2-z^2+a^7 z+4 a^5 z+4 a^3 z+a z-a^4-2 a^2} |
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