K12a14
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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+13 q-22+32 q^{-1} -38 q^{-2} +40 q^{-3} -37 q^{-4} +29 q^{-5} -19 q^{-6} +10 q^{-7} -4 q^{-8} + q^{-9} } |
| 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+8 t^3-28 t^2+55 t-67+55 t^{-1} -28 t^{-2} +8 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^2+1} |
| Determinant | 251 |
| 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^2 a^8+a^8-3 z^4 a^6-6 z^2 a^6-3 a^6+3 z^6 a^4+9 z^4 a^4+10 z^2 a^4+4 a^4-z^8 a^2-4 z^6 a^2-8 z^4 a^2-8 z^2 a^2-3 a^2+z^6+2 z^4+2 z^2+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 2 a^5 z^{11}+2 a^3 z^{11}+7 a^6 z^{10}+16 a^4 z^{10}+9 a^2 z^{10}+10 a^7 z^9+26 a^5 z^9+31 a^3 z^9+15 a z^9+8 a^8 z^8+7 a^6 z^8-5 a^4 z^8+8 a^2 z^8+12 z^8+4 a^9 z^7-14 a^7 z^7-65 a^5 z^7-78 a^3 z^7-26 a z^7+5 z^7 a^{-1} +a^{10} z^6-15 a^8 z^6-40 a^6 z^6-53 a^4 z^6-53 a^2 z^6+z^6 a^{-2} -23 z^6-8 a^9 z^5+5 a^7 z^5+56 a^5 z^5+63 a^3 z^5+13 a z^5-7 z^5 a^{-1} -2 a^{10} z^4+11 a^8 z^4+45 a^6 z^4+68 a^4 z^4+52 a^2 z^4-z^4 a^{-2} +15 z^4+5 a^9 z^3-20 a^5 z^3-22 a^3 z^3-5 a z^3+2 z^3 a^{-1} +a^{10} z^2-5 a^8 z^2-20 a^6 z^2-29 a^4 z^2-21 a^2 z^2-6 z^2-a^9 z+3 a^5 z+3 a^3 z+a z+a^8+3 a^6+4 a^4+3 a^2+2} |
Modifying This Page
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