K12a1117
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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^{12}-4 q^{11}+10 q^{10}-21 q^9+32 q^8-40 q^7+44 q^6-42 q^5+35 q^4-24 q^3+14 q^2-5 q+1} |
| 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 -4 t^3+26 t^2-64 t+85-64 t^{-1} +26 t^{-2} -4 t^{-3} } |
| 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 -4 z^6+2 z^4+4 z^2+1} |
| Determinant | 273 |
| 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^6 a^{-4} -3 z^6 a^{-6} +z^4 a^{-2} +2 z^4 a^{-4} -7 z^4 a^{-6} +6 z^4 a^{-8} +6 z^2 a^{-4} -8 z^2 a^{-6} +10 z^2 a^{-8} -4 z^2 a^{-10} +3 a^{-4} -4 a^{-6} +5 a^{-8} -4 a^{-10} + a^{-12} } |
| 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^{-7} +4 z^{11} a^{-9} +14 z^{10} a^{-6} +24 z^{10} a^{-8} +10 z^{10} a^{-10} +19 z^9 a^{-5} +29 z^9 a^{-7} +21 z^9 a^{-9} +11 z^9 a^{-11} +13 z^8 a^{-4} -12 z^8 a^{-6} -38 z^8 a^{-8} -5 z^8 a^{-10} +8 z^8 a^{-12} +5 z^7 a^{-3} -40 z^7 a^{-5} -86 z^7 a^{-7} -59 z^7 a^{-9} -14 z^7 a^{-11} +4 z^7 a^{-13} +z^6 a^{-2} -24 z^6 a^{-4} -22 z^6 a^{-6} +z^6 a^{-8} -16 z^6 a^{-10} -13 z^6 a^{-12} +z^6 a^{-14} -6 z^5 a^{-3} +30 z^5 a^{-5} +76 z^5 a^{-7} +48 z^5 a^{-9} -8 z^5 a^{-13} -z^4 a^{-2} +15 z^4 a^{-4} +32 z^4 a^{-6} +30 z^4 a^{-8} +23 z^4 a^{-10} +7 z^4 a^{-12} -2 z^4 a^{-14} -10 z^3 a^{-5} -24 z^3 a^{-7} -10 z^3 a^{-9} +10 z^3 a^{-11} +6 z^3 a^{-13} -8 z^2 a^{-4} -17 z^2 a^{-6} -22 z^2 a^{-8} -16 z^2 a^{-10} -2 z^2 a^{-12} +z^2 a^{-14} +2 z a^{-7} -2 z a^{-9} -6 z a^{-11} -2 z a^{-13} +3 a^{-4} +4 a^{-6} +5 a^{-8} +4 a^{-10} + a^{-12} } |
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