K12a1037
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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}+8 q^{12}-15 q^{11}+21 q^{10}-26 q^9+29 q^8-27 q^7+23 q^6-16 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 14 t^2-46 t+65-46 t^{-1} +14 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 14 z^4+10 z^2+1} |
| Determinant | 185 |
| 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} +6 z^4 a^{-8} +3 z^4 a^{-10} +4 z^2 a^{-6} +9 z^2 a^{-8} +z^2 a^{-10} -4 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 2 z^{11} a^{-11} +2 z^{11} a^{-13} +8 z^{10} a^{-10} +13 z^{10} a^{-12} +5 z^{10} a^{-14} +15 z^9 a^{-9} +19 z^9 a^{-11} +8 z^9 a^{-13} +4 z^9 a^{-15} +19 z^8 a^{-8} +2 z^8 a^{-10} -35 z^8 a^{-12} -17 z^8 a^{-14} +z^8 a^{-16} +16 z^7 a^{-7} -20 z^7 a^{-9} -73 z^7 a^{-11} -55 z^7 a^{-13} -18 z^7 a^{-15} +10 z^6 a^{-6} -33 z^6 a^{-8} -45 z^6 a^{-10} +14 z^6 a^{-12} +12 z^6 a^{-14} -4 z^6 a^{-16} +4 z^5 a^{-5} -20 z^5 a^{-7} -6 z^5 a^{-9} +74 z^5 a^{-11} +83 z^5 a^{-13} +27 z^5 a^{-15} +z^4 a^{-4} -8 z^4 a^{-6} +23 z^4 a^{-8} +39 z^4 a^{-10} +9 z^4 a^{-12} +7 z^4 a^{-14} +5 z^4 a^{-16} +8 z^3 a^{-7} +5 z^3 a^{-9} -35 z^3 a^{-11} -46 z^3 a^{-13} -14 z^3 a^{-15} +4 z^2 a^{-6} -15 z^2 a^{-8} -13 z^2 a^{-10} +4 z^2 a^{-12} -4 z^2 a^{-14} -2 z^2 a^{-16} -z a^{-9} +9 z a^{-11} +11 z a^{-13} +z a^{-15} +4 a^{-8} + a^{-10} -3 a^{-12} - a^{-14} } |
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