K12a1028
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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^5+3 q^4-6 q^3+10 q^2-14 q+17-17 q^{-1} +16 q^{-2} -12 q^{-3} +9 q^{-4} -5 q^{-5} +2 q^{-6} - q^{-7} } |
| 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^4-7 t^3+14 t^2-21 t+25-21 t^{-1} +14 t^{-2} -7 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+9 z^6+12 z^4+4 z^2+1} |
| Determinant | 113 |
| Signature | 0 |
| HOMFLY-PT polynomial | |
| 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 a^3 z^{11}+a z^{11}+3 a^4 z^{10}+6 a^2 z^{10}+3 z^{10}+3 a^5 z^9+2 a^3 z^9+4 a z^9+5 z^9 a^{-1} +2 a^6 z^8-13 a^4 z^8-25 a^2 z^8+6 z^8 a^{-2} -4 z^8+a^7 z^7-12 a^5 z^7-18 a^3 z^7-21 a z^7-11 z^7 a^{-1} +5 z^7 a^{-3} -8 a^6 z^6+28 a^4 z^6+53 a^2 z^6-15 z^6 a^{-2} +3 z^6 a^{-4} -z^6-5 a^7 z^5+16 a^5 z^5+38 a^3 z^5+38 a z^5+9 z^5 a^{-1} -11 z^5 a^{-3} +z^5 a^{-5} +8 a^6 z^4-39 a^4 z^4-63 a^2 z^4+16 z^4 a^{-2} -6 z^4 a^{-4} +6 z^4+7 a^7 z^3-11 a^5 z^3-39 a^3 z^3-27 a z^3+3 z^3 a^{-1} +7 z^3 a^{-3} -2 z^3 a^{-5} -a^6 z^2+22 a^4 z^2+35 a^2 z^2-6 z^2 a^{-2} +z^2 a^{-4} +5 z^2-2 a^7 z+3 a^5 z+11 a^3 z+7 a z-z a^{-1} -2 z a^{-3} -4 a^4-8 a^2-3} |
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