K12a1001
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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^8-4 q^7+9 q^6-15 q^5+22 q^4-27 q^3+29 q^2-28 q+23-16 q^{-1} +10 q^{-2} -4 q^{-3} + q^{-4} } |
| 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+19 t^2-43 t+57-43 t^{-1} +19 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^6-5 z^4-3 z^2+1} |
| Determinant | 189 |
| Signature | 0 |
| 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 -2 z^6 a^{-2} -z^6 a^{-4} -z^6+a^2 z^4-5 z^4 a^{-2} -z^4 a^{-4} +z^4 a^{-6} -z^4+a^2 z^2-6 z^2 a^{-2} +z^2 a^{-4} +z^2 a^{-6} +a^2-3 a^{-2} +2 a^{-4} +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 3 z^{11} a^{-3} +3 z^{11} a^{-5} +10 z^{10} a^{-2} +16 z^{10} a^{-4} +6 z^{10} a^{-6} +17 z^9 a^{-1} +15 z^9 a^{-3} +2 z^9 a^{-5} +4 z^9 a^{-7} -8 z^8 a^{-2} -51 z^8 a^{-4} -23 z^8 a^{-6} +z^8 a^{-8} +19 z^8+16 a z^7-31 z^7 a^{-1} -70 z^7 a^{-3} -40 z^7 a^{-5} -17 z^7 a^{-7} +10 a^2 z^6-33 z^6 a^{-2} +37 z^6 a^{-4} +25 z^6 a^{-6} -4 z^6 a^{-8} -31 z^6+4 a^3 z^5-20 a z^5+12 z^5 a^{-1} +71 z^5 a^{-3} +58 z^5 a^{-5} +23 z^5 a^{-7} +a^4 z^4-8 a^2 z^4+40 z^4 a^{-2} +7 z^4 a^{-4} -6 z^4 a^{-6} +5 z^4 a^{-8} +13 z^4+7 a z^3-7 z^3 a^{-1} -25 z^3 a^{-3} -22 z^3 a^{-5} -11 z^3 a^{-7} +4 a^2 z^2-19 z^2 a^{-2} -10 z^2 a^{-4} -z^2 a^{-6} -2 z^2 a^{-8} -4 z^2+3 z a^{-1} +4 z a^{-3} +2 z a^{-5} +z a^{-7} -a^2+3 a^{-2} +2 a^{-4} +1} |
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