K12a1113
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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}-4 q^{13}+9 q^{12}-17 q^{11}+24 q^{10}-30 q^9+32 q^8-30 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 15 t^2-51 t+73-51 t^{-1} +15 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 15 z^4+9 z^2+1} |
| Determinant | 205 |
| 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} +3 z^4 a^{-10} +3 z^2 a^{-6} +11 z^2 a^{-8} -z^2 a^{-10} -4 z^2 a^{-12} +5 a^{-8} -3 a^{-10} -2 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 3 z^{11} a^{-11} +3 z^{11} a^{-13} +12 z^{10} a^{-10} +18 z^{10} a^{-12} +6 z^{10} a^{-14} +21 z^9 a^{-9} +23 z^9 a^{-11} +6 z^9 a^{-13} +4 z^9 a^{-15} +23 z^8 a^{-8} -9 z^8 a^{-10} -54 z^8 a^{-12} -21 z^8 a^{-14} +z^8 a^{-16} +17 z^7 a^{-7} -41 z^7 a^{-9} -98 z^7 a^{-11} -57 z^7 a^{-13} -17 z^7 a^{-15} +10 z^6 a^{-6} -44 z^6 a^{-8} -42 z^6 a^{-10} +35 z^6 a^{-12} +19 z^6 a^{-14} -4 z^6 a^{-16} +4 z^5 a^{-5} -20 z^5 a^{-7} +15 z^5 a^{-9} +103 z^5 a^{-11} +89 z^5 a^{-13} +25 z^5 a^{-15} +z^4 a^{-4} -7 z^4 a^{-6} +31 z^4 a^{-8} +47 z^4 a^{-10} +4 z^4 a^{-12} +z^4 a^{-14} +5 z^4 a^{-16} +6 z^3 a^{-7} +2 z^3 a^{-9} -40 z^3 a^{-11} -51 z^3 a^{-13} -15 z^3 a^{-15} +3 z^2 a^{-6} -16 z^2 a^{-8} -17 z^2 a^{-10} -4 z^2 a^{-14} -2 z^2 a^{-16} -3 z a^{-9} +6 z a^{-11} +12 z a^{-13} +3 z a^{-15} +5 a^{-8} +3 a^{-10} -2 a^{-12} - a^{-14} } |
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