K12a1070
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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+5 q^7-12 q^6+22 q^5-32 q^4+39 q^3-42 q^2+39 q-31+22 q^{-1} -12 q^{-2} +5 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 -t^4+8 t^3-29 t^2+58 t-71+58 t^{-1} -29 t^{-2} +8 t^{-3} - 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 -z^8-z^4-2 z^2+1} |
| Determinant | 263 |
| 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} -4 z^6 a^{-2} +2 z^6 a^{-4} +2 z^6-a^2 z^4-9 z^4 a^{-2} +5 z^4 a^{-4} -z^4 a^{-6} +5 z^4-a^2 z^2-10 z^2 a^{-2} +5 z^2 a^{-4} -z^2 a^{-6} +5 z^2-4 a^{-2} +2 a^{-4} +3} |
| 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^{-1} +4 z^{11} a^{-3} +24 z^{10} a^{-2} +14 z^{10} a^{-4} +10 z^{10}+10 a z^9+19 z^9 a^{-1} +30 z^9 a^{-3} +21 z^9 a^{-5} +5 a^2 z^8-45 z^8 a^{-2} -6 z^8 a^{-4} +19 z^8 a^{-6} -15 z^8+a^3 z^7-26 a z^7-79 z^7 a^{-1} -97 z^7 a^{-3} -33 z^7 a^{-5} +12 z^7 a^{-7} -13 a^2 z^6-6 z^6 a^{-2} -34 z^6 a^{-4} -26 z^6 a^{-6} +5 z^6 a^{-8} -16 z^6-2 a^3 z^5+19 a z^5+80 z^5 a^{-1} +89 z^5 a^{-3} +17 z^5 a^{-5} -12 z^5 a^{-7} +z^5 a^{-9} +10 a^2 z^4+48 z^4 a^{-2} +39 z^4 a^{-4} +10 z^4 a^{-6} -3 z^4 a^{-8} +32 z^4+a^3 z^3-6 a z^3-29 z^3 a^{-1} -27 z^3 a^{-3} -3 z^3 a^{-5} +2 z^3 a^{-7} -3 a^2 z^2-26 z^2 a^{-2} -14 z^2 a^{-4} -z^2 a^{-6} -16 z^2+a z+3 z a^{-1} +z a^{-3} -z a^{-5} +4 a^{-2} +2 a^{-4} +3} |
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