K12a1061
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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^9-4 q^8+11 q^7-21 q^6+31 q^5-40 q^4+43 q^3-40 q^2+34 q-23+13 q^{-1} -5 q^{-2} + q^{-3} } |
| 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 -2 t^4+11 t^3-31 t^2+56 t-67+56 t^{-1} -31 t^{-2} +11 t^{-3} -2 t^{-4} } |
| 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 -2 z^8-5 z^6-5 z^4-z^2+1} |
| Determinant | 267 |
| 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 -z^8 a^{-2} -z^8 a^{-4} -3 z^6 a^{-2} -4 z^6 a^{-4} +z^6 a^{-6} +z^6-2 z^4 a^{-2} -8 z^4 a^{-4} +3 z^4 a^{-6} +2 z^4+3 z^2 a^{-2} -9 z^2 a^{-4} +4 z^2 a^{-6} +z^2+4 a^{-2} -5 a^{-4} +2 a^{-6} } |
| 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^{-3} +4 z^{11} a^{-5} +12 z^{10} a^{-2} +23 z^{10} a^{-4} +11 z^{10} a^{-6} +16 z^9 a^{-1} +23 z^9 a^{-3} +20 z^9 a^{-5} +13 z^9 a^{-7} -7 z^8 a^{-2} -40 z^8 a^{-4} -12 z^8 a^{-6} +9 z^8 a^{-8} +12 z^8+5 a z^7-28 z^7 a^{-1} -63 z^7 a^{-3} -60 z^7 a^{-5} -26 z^7 a^{-7} +4 z^7 a^{-9} +a^2 z^6-19 z^6 a^{-2} +22 z^6 a^{-4} -17 z^6 a^{-8} +z^6 a^{-10} -22 z^6-7 a z^5+14 z^5 a^{-1} +50 z^5 a^{-3} +62 z^5 a^{-5} +26 z^5 a^{-7} -7 z^5 a^{-9} -a^2 z^4+13 z^4 a^{-2} -12 z^4 a^{-4} +3 z^4 a^{-6} +12 z^4 a^{-8} -2 z^4 a^{-10} +13 z^4+2 a z^3-4 z^3 a^{-1} -20 z^3 a^{-3} -34 z^3 a^{-5} -17 z^3 a^{-7} +3 z^3 a^{-9} +3 z^2 a^{-2} +12 z^2 a^{-4} +z^2 a^{-6} -4 z^2 a^{-8} +z^2 a^{-10} -3 z^2+z a^{-1} +6 z a^{-3} +10 z a^{-5} +5 z a^{-7} -4 a^{-2} -5 a^{-4} -2 a^{-6} } |
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