K12a1097
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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^{14}-5 q^{13}+11 q^{12}-19 q^{11}+26 q^{10}-32 q^9+34 q^8-31 q^7+26 q^6-17 q^5+10 q^4-4 q^3+q^2} |
| 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 16 t^2-54 t+77-54 t^{-1} +16 t^{-2} } |
| 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 16 z^4+10 z^2+1} |
| Determinant | 217 |
| Signature | 4 |
| 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^{-4} +4 z^4 a^{-6} +7 z^4 a^{-8} +4 z^4 a^{-10} +3 z^2 a^{-6} +10 z^2 a^{-8} +2 z^2 a^{-10} -5 z^2 a^{-12} +4 a^{-8} - a^{-10} -3 a^{-12} + a^{-14} } |
| 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 z^{11} a^{-11} +4 z^{11} a^{-13} +14 z^{10} a^{-10} +22 z^{10} a^{-12} +8 z^{10} a^{-14} +22 z^9 a^{-9} +22 z^9 a^{-11} +5 z^9 a^{-13} +5 z^9 a^{-15} +23 z^8 a^{-8} -17 z^8 a^{-10} -69 z^8 a^{-12} -28 z^8 a^{-14} +z^8 a^{-16} +17 z^7 a^{-7} -44 z^7 a^{-9} -104 z^7 a^{-11} -62 z^7 a^{-13} -19 z^7 a^{-15} +10 z^6 a^{-6} -43 z^6 a^{-8} -30 z^6 a^{-10} +51 z^6 a^{-12} +25 z^6 a^{-14} -3 z^6 a^{-16} +4 z^5 a^{-5} -20 z^5 a^{-7} +19 z^5 a^{-9} +112 z^5 a^{-11} +92 z^5 a^{-13} +23 z^5 a^{-15} +z^4 a^{-4} -7 z^4 a^{-6} +29 z^4 a^{-8} +37 z^4 a^{-10} -2 z^4 a^{-12} +z^4 a^{-14} +3 z^4 a^{-16} +6 z^3 a^{-7} -2 z^3 a^{-9} -43 z^3 a^{-11} -44 z^3 a^{-13} -9 z^3 a^{-15} +3 z^2 a^{-6} -15 z^2 a^{-8} -12 z^2 a^{-10} +3 z^2 a^{-12} -4 z^2 a^{-14} -z^2 a^{-16} -2 z a^{-9} +6 z a^{-11} +8 z a^{-13} +4 a^{-8} + a^{-10} -3 a^{-12} - a^{-14} } |
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