K12a1052
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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^9-3 q^8+7 q^7-14 q^6+21 q^5-27 q^4+30 q^3-28 q^2+24 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^4+9 t^3-22 t^2+38 t-45+38 t^{-1} -22 t^{-2} +9 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^8-7 z^6-8 z^4-z^2+1} |
| Determinant | 187 |
| 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} -5 z^6 a^{-4} +z^6 a^{-6} +z^6-5 z^4 a^{-2} -10 z^4 a^{-4} +4 z^4 a^{-6} +3 z^4-z^2 a^{-2} -8 z^2 a^{-4} +5 z^2 a^{-6} +3 z^2+ a^{-2} -2 a^{-4} + a^{-6} +1} |
| 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} +11 z^{10} a^{-4} +5 z^{10} a^{-6} +9 z^9 a^{-1} +10 z^9 a^{-3} +7 z^9 a^{-5} +6 z^9 a^{-7} -3 z^8 a^{-2} -22 z^8 a^{-4} -6 z^8 a^{-6} +5 z^8 a^{-8} +8 z^8+4 a z^7-16 z^7 a^{-1} -25 z^7 a^{-3} -19 z^7 a^{-5} -11 z^7 a^{-7} +3 z^7 a^{-9} +a^2 z^6-8 z^6 a^{-2} +25 z^6 a^{-4} +3 z^6 a^{-6} -11 z^6 a^{-8} +z^6 a^{-10} -17 z^6-8 a z^5+8 z^5 a^{-1} +20 z^5 a^{-3} +18 z^5 a^{-5} +6 z^5 a^{-7} -8 z^5 a^{-9} -2 a^2 z^4+3 z^4 a^{-2} -21 z^4 a^{-4} -z^4 a^{-6} +7 z^4 a^{-8} -3 z^4 a^{-10} +11 z^4+4 a z^3-5 z^3 a^{-1} -9 z^3 a^{-3} -4 z^3 a^{-5} +2 z^3 a^{-7} +6 z^3 a^{-9} +a^2 z^2+12 z^2 a^{-4} +3 z^2 a^{-6} -2 z^2 a^{-8} +2 z^2 a^{-10} -4 z^2+z a^{-1} +2 z a^{-3} -3 z a^{-7} -2 z a^{-9} - a^{-2} -2 a^{-4} - a^{-6} +1} |
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