K12a1120
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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+3 q^3-6 q^2+9 q-12+16 q^{-1} -16 q^{-2} +16 q^{-3} -13 q^{-4} +9 q^{-5} -6 q^{-6} +3 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 t^5-4 t^4+9 t^3-14 t^2+18 t-19+18 t^{-1} -14 t^{-2} +9 t^{-3} -4 t^{-4} + t^{-5} } |
| 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^{10}+6 z^8+12 z^6+10 z^4+4 z^2+1} |
| Determinant | 111 |
| 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 a^2 z^{10}-a^4 z^8+8 a^2 z^8-z^8-6 a^4 z^6+24 a^2 z^6-6 z^6-12 a^4 z^4+34 a^2 z^4-12 z^4-10 a^4 z^2+24 a^2 z^2-10 z^2-4 a^4+8 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 2 a^3 z^{11}+2 a z^{11}+4 a^4 z^{10}+9 a^2 z^{10}+5 z^{10}+4 a^5 z^9-3 a^3 z^9-2 a z^9+5 z^9 a^{-1} +4 a^6 z^8-14 a^4 z^8-44 a^2 z^8+3 z^8 a^{-2} -23 z^8+4 a^7 z^7-8 a^5 z^7-8 a^3 z^7-19 a z^7-22 z^7 a^{-1} +z^7 a^{-3} +3 a^8 z^6-5 a^6 z^6+26 a^4 z^6+83 a^2 z^6-12 z^6 a^{-2} +37 z^6+a^9 z^5-6 a^7 z^5+8 a^5 z^5+27 a^3 z^5+44 a z^5+28 z^5 a^{-1} -4 z^5 a^{-3} -6 a^8 z^4-24 a^4 z^4-73 a^2 z^4+10 z^4 a^{-2} -33 z^4-2 a^9 z^3-4 a^5 z^3-22 a^3 z^3-35 a z^3-16 z^3 a^{-1} +3 z^3 a^{-3} +2 a^8 z^2+15 a^4 z^2+33 a^2 z^2-z^2 a^{-2} +15 z^2+a^9 z+2 a^5 z+8 a^3 z+9 a z+4 z a^{-1} -4 a^4-8 a^2-3} |
Modifying This Page
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