K12a1017
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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+3 q^8-6 q^7+10 q^6-13 q^5+15 q^4-16 q^3+15 q^2-12 q+9-5 q^{-1} +3 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^4-8 t^3+15 t^2-19 t+21-19 t^{-1} +15 t^{-2} -8 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+8 z^6+7 z^4+z^2+1} |
| Determinant | 109 |
| 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^8 a^{-2} +z^8 a^{-4} +5 z^6 a^{-2} +5 z^6 a^{-4} -z^6 a^{-6} -z^6+7 z^4 a^{-2} +8 z^4 a^{-4} -4 z^4 a^{-6} -4 z^4+2 z^2 a^{-2} +6 z^2 a^{-4} -4 z^2 a^{-6} -3 z^2- a^{-2} +2 a^{-4} - a^{-6} +1} |
| 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^{-1} +2 z^{11} a^{-3} +9 z^{10} a^{-2} +6 z^{10} a^{-4} +3 z^{10}+a z^9-7 z^9 a^{-1} +2 z^9 a^{-3} +10 z^9 a^{-5} -47 z^8 a^{-2} -15 z^8 a^{-4} +13 z^8 a^{-6} -19 z^8-6 a z^7-4 z^7 a^{-1} -38 z^7 a^{-3} -27 z^7 a^{-5} +13 z^7 a^{-7} +78 z^6 a^{-2} -7 z^6 a^{-4} -34 z^6 a^{-6} +10 z^6 a^{-8} +41 z^6+12 a z^5+33 z^5 a^{-1} +62 z^5 a^{-3} +7 z^5 a^{-5} -28 z^5 a^{-7} +6 z^5 a^{-9} -45 z^4 a^{-2} +25 z^4 a^{-4} +19 z^4 a^{-6} -14 z^4 a^{-8} +3 z^4 a^{-10} -34 z^4-9 a z^3-29 z^3 a^{-1} -27 z^3 a^{-3} +11 z^3 a^{-5} +14 z^3 a^{-7} -3 z^3 a^{-9} +z^3 a^{-11} +6 z^2 a^{-2} -10 z^2 a^{-4} -4 z^2 a^{-6} +4 z^2 a^{-8} +8 z^2+2 a z+5 z a^{-1} +2 z a^{-3} -4 z a^{-5} -3 z a^{-7} + a^{-2} +2 a^{-4} + a^{-6} +1} |
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