K12a1104
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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^4+4 q^3-10 q^2+18 q-25+32 q^{-1} -34 q^{-2} +32 q^{-3} -26 q^{-4} +18 q^{-5} -10 q^{-6} +4 q^{-7} - q^{-8} } |
| 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^3-25 t^2+46 t-55+46 t^{-1} -25 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+3 z^4+2 z^2+1} |
| Determinant | 215 |
| 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 -a^2 z^8+2 a^4 z^6-4 a^2 z^6+2 z^6-a^6 z^4+6 a^4 z^4-7 a^2 z^4-z^4 a^{-2} +6 z^4-2 a^6 z^2+6 a^4 z^2-6 a^2 z^2-2 z^2 a^{-2} +6 z^2-a^6+2 a^4-2 a^2- a^{-2} +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 3 a^3 z^{11}+3 a z^{11}+10 a^4 z^{10}+17 a^2 z^{10}+7 z^{10}+15 a^5 z^9+18 a^3 z^9+10 a z^9+7 z^9 a^{-1} +14 a^6 z^8-9 a^4 z^8-39 a^2 z^8+4 z^8 a^{-2} -12 z^8+9 a^7 z^7-29 a^5 z^7-65 a^3 z^7-46 a z^7-18 z^7 a^{-1} +z^7 a^{-3} +4 a^8 z^6-25 a^6 z^6-13 a^4 z^6+22 a^2 z^6-12 z^6 a^{-2} -6 z^6+a^9 z^5-12 a^7 z^5+26 a^5 z^5+75 a^3 z^5+49 a z^5+10 z^5 a^{-1} -3 z^5 a^{-3} -4 a^8 z^4+20 a^6 z^4+25 a^4 z^4+4 a^2 z^4+11 z^4 a^{-2} +14 z^4-a^9 z^3+5 a^7 z^3-10 a^5 z^3-38 a^3 z^3-25 a z^3+3 z^3 a^{-3} -7 a^6 z^2-12 a^4 z^2-9 a^2 z^2-4 z^2 a^{-2} -8 z^2-a^7 z+2 a^5 z+7 a^3 z+5 a z-z a^{-3} +a^6+2 a^4+2 a^2+ a^{-2} +3} |
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