K12a42
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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^2+3 q-6+11 q^{-1} -15 q^{-2} +19 q^{-3} -20 q^{-4} +19 q^{-5} -15 q^{-6} +11 q^{-7} -7 q^{-8} +3 q^{-9} - q^{-10} } |
| 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^3-13 t^2+30 t-39+30 t^{-1} -13 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+5 z^4+5 z^2+1} |
| Determinant | 131 |
| 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^4 a^8-2 z^2 a^8-2 a^8+z^6 a^6+3 z^4 a^6+5 z^2 a^6+3 a^6+z^6 a^4+z^4 a^4-z^2 a^4-2 a^4+z^6 a^2+3 z^4 a^2+5 z^2 a^2+3 a^2-z^4-2 z^2-1} |
| 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 z^7 a^{11}-4 z^5 a^{11}+4 z^3 a^{11}-z a^{11}+3 z^8 a^{10}-11 z^6 a^{10}+10 z^4 a^{10}-3 z^2 a^{10}+5 z^9 a^9-19 z^7 a^9+22 z^5 a^9-14 z^3 a^9+5 z a^9+4 z^{10} a^8-11 z^8 a^8+5 z^6 a^8-z^4 a^8+4 z^2 a^8-2 a^8+z^{11} a^7+8 z^9 a^7-41 z^7 a^7+61 z^5 a^7-40 z^3 a^7+10 z a^7+7 z^{10} a^6-20 z^8 a^6+20 z^6 a^6-11 z^4 a^6+8 z^2 a^6-3 a^6+z^{11} a^5+7 z^9 a^5-28 z^7 a^5+42 z^5 a^5-27 z^3 a^5+6 z a^5+3 z^{10} a^4-2 z^8 a^4+z^6 a^4-4 z^4 a^4+6 z^2 a^4-2 a^4+4 z^9 a^3-3 z^7 a^3+2 z^5 a^3-5 z^3 a^3+3 z a^3+4 z^8 a^2-10 z^4 a^2+9 z^2 a^2-3 a^2+4 z^7 a-4 z^5 a-2 z^3 a+2 z a+3 z^6-6 z^4+4 z^2-1+z^5 a^{-1} -2 z^3 a^{-1} +z a^{-1} } |
Modifying This Page
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