K12a1026
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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^4-4 q^3+8 q^2-13 q+19-23 q^{-1} +25 q^{-2} -23 q^{-3} +20 q^{-4} -14 q^{-5} +9 q^{-6} -5 q^{-7} + q^{-8} } |
| 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 -3 t^3+17 t^2-38 t+49-38 t^{-1} +17 t^{-2} -3 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 -3 z^6-z^4+3 z^2+1} |
| Determinant | 165 |
| 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^4 a^6-2 a^6-z^6 a^4-z^4 a^4+2 z^2 a^4+3 a^4-z^6 a^2+2 z^2 a^2-z^6-2 z^4-2 z^2+z^4 a^{-2} +z^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 4 a^5 z^{11}+4 a^3 z^{11}+8 a^6 z^{10}+18 a^4 z^{10}+10 a^2 z^{10}+5 a^7 z^9-5 a^5 z^9+2 a^3 z^9+12 a z^9+a^8 z^8-36 a^6 z^8-75 a^4 z^8-26 a^2 z^8+12 z^8-21 a^7 z^7-31 a^5 z^7-44 a^3 z^7-23 a z^7+11 z^7 a^{-1} -3 a^8 z^6+47 a^6 z^6+94 a^4 z^6+21 a^2 z^6+8 z^6 a^{-2} -15 z^6+22 a^7 z^5+53 a^5 z^5+55 a^3 z^5+8 a z^5-12 z^5 a^{-1} +4 z^5 a^{-3} +a^8 z^4-18 a^6 z^4-39 a^4 z^4-15 a^2 z^4-7 z^4 a^{-2} +z^4 a^{-4} -3 z^4-2 a^7 z^3-12 a^5 z^3-16 a^3 z^3-2 a z^3+2 z^3 a^{-1} -2 z^3 a^{-3} -2 a^6 z^2+a^4 z^2+5 a^2 z^2+2 z^2 a^{-2} +4 z^2-4 a^7 z-5 a^5 z-a^3 z+2 a^6+3 a^4} |
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