K12a1092
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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^8+4 q^7-10 q^6+20 q^5-30 q^4+36 q^3-39 q^2+37 q-29+21 q^{-1} -11 q^{-2} +4 q^{-3} - q^{-4} } |
| 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+9 t^3-29 t^2+52 t-61+52 t^{-1} -29 t^{-2} +9 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+5 z^4+z^2+1} |
| Determinant | 243 |
| 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} -3 z^6 a^{-2} +2 z^6 a^{-4} +2 z^6-a^2 z^4-3 z^4 a^{-2} +5 z^4 a^{-4} -z^4 a^{-6} +5 z^4-2 a^2 z^2-2 z^2 a^{-2} +3 z^2 a^{-4} -2 z^2 a^{-6} +4 z^2-a^2- a^{-2} +3} |
| 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 z^{11} a^{-1} +3 z^{11} a^{-3} +19 z^{10} a^{-2} +11 z^{10} a^{-4} +8 z^{10}+8 a z^9+18 z^9 a^{-1} +27 z^9 a^{-3} +17 z^9 a^{-5} +4 a^2 z^8-29 z^8 a^{-2} +15 z^8 a^{-6} -10 z^8+a^3 z^7-20 a z^7-63 z^7 a^{-1} -78 z^7 a^{-3} -27 z^7 a^{-5} +9 z^7 a^{-7} -11 a^2 z^6-11 z^6 a^{-2} -36 z^6 a^{-4} -23 z^6 a^{-6} +4 z^6 a^{-8} -13 z^6-3 a^3 z^5+15 a z^5+54 z^5 a^{-1} +65 z^5 a^{-3} +18 z^5 a^{-5} -10 z^5 a^{-7} +z^5 a^{-9} +11 a^2 z^4+21 z^4 a^{-2} +36 z^4 a^{-4} +18 z^4 a^{-6} -4 z^4 a^{-8} +18 z^4+3 a^3 z^3-3 a z^3-18 z^3 a^{-1} -20 z^3 a^{-3} -2 z^3 a^{-5} +5 z^3 a^{-7} -z^3 a^{-9} -5 a^2 z^2-5 z^2 a^{-2} -8 z^2 a^{-4} -4 z^2 a^{-6} +z^2 a^{-8} -7 z^2-a^3 z-a z-z a^{-3} -2 z a^{-5} -z a^{-7} +a^2+ a^{-2} +3} |
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