K12a1115
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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+4-9 q^{-1} +15 q^{-2} -20 q^{-3} +25 q^{-4} -25 q^{-5} +24 q^{-6} -19 q^{-7} +12 q^{-8} -7 q^{-9} +3 q^{-10} - q^{-11} } |
| 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^4-9 t^3+22 t^2-32 t+35-32 t^{-1} +22 t^{-2} -9 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+7 z^6+8 z^4+7 z^2+1} |
| Determinant | 165 |
| 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^6 a^8-4 z^4 a^8-5 z^2 a^8-3 a^8+z^8 a^6+5 z^6 a^6+10 z^4 a^6+10 z^2 a^6+3 a^6+z^8 a^4+4 z^6 a^4+5 z^4 a^4+4 z^2 a^4+2 a^4-z^6 a^2-3 z^4 a^2-2 z^2 a^2-a^2} |
| 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 z^5 a^{13}-2 z^3 a^{13}+3 z^6 a^{12}-5 z^4 a^{12}+6 z^7 a^{11}-13 z^5 a^{11}+11 z^3 a^{11}-4 z a^{11}+8 z^8 a^{10}-18 z^6 a^{10}+18 z^4 a^{10}-4 z^2 a^{10}+8 z^9 a^9-17 z^7 a^9+16 z^5 a^9-z^3 a^9+2 z a^9+6 z^{10} a^8-11 z^8 a^8+11 z^6 a^8-6 z^4 a^8+8 z^2 a^8-3 a^8+2 z^{11} a^7+8 z^9 a^7-35 z^7 a^7+53 z^5 a^7-39 z^3 a^7+11 z a^7+11 z^{10} a^6-31 z^8 a^6+37 z^6 a^6-29 z^4 a^6+9 z^2 a^6-3 a^6+2 z^{11} a^5+6 z^9 a^5-29 z^7 a^5+32 z^5 a^5-23 z^3 a^5+6 z a^5+5 z^{10} a^4-8 z^8 a^4-8 z^6 a^4+12 z^4 a^4-6 z^2 a^4+2 a^4+6 z^9 a^3-16 z^7 a^3+6 z^5 a^3+5 z^3 a^3+4 z^8 a^2-13 z^6 a^2+12 z^4 a^2-3 z^2 a^2+a^2+z^7 a-3 z^5 a+3 z^3 a-z a} |
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