K12a890
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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^6-4 q^5+9 q^4-17 q^3+25 q^2-30 q+33-30 q^{-1} +25 q^{-2} -17 q^{-3} +9 q^{-4} -4 q^{-5} + q^{-6} } |
| 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+21 t^2-47 t+61-47 t^{-1} +21 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^6-3 z^4+z^2+1} |
| Determinant | 205 |
| 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 -a^2 z^6-z^6 a^{-2} -2 z^6+a^4 z^4-a^2 z^4-z^4 a^{-2} +z^4 a^{-4} -3 z^4+a^4 z^2-a^2 z^2-z^2 a^{-2} +z^2 a^{-4} +z^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 z^{11}+3 z^{11} a^{-1} +8 a^2 z^{10}+8 z^{10} a^{-2} +16 z^{10}+10 a^3 z^9+9 a z^9+9 z^9 a^{-1} +10 z^9 a^{-3} +8 a^4 z^8-14 a^2 z^8-14 z^8 a^{-2} +8 z^8 a^{-4} -44 z^8+4 a^5 z^7-23 a^3 z^7-36 a z^7-36 z^7 a^{-1} -23 z^7 a^{-3} +4 z^7 a^{-5} +a^6 z^6-19 a^4 z^6+11 a^2 z^6+11 z^6 a^{-2} -19 z^6 a^{-4} +z^6 a^{-6} +62 z^6-9 a^5 z^5+19 a^3 z^5+50 a z^5+50 z^5 a^{-1} +19 z^5 a^{-3} -9 z^5 a^{-5} -2 a^6 z^4+13 a^4 z^4-6 a^2 z^4-6 z^4 a^{-2} +13 z^4 a^{-4} -2 z^4 a^{-6} -42 z^4+4 a^5 z^3-6 a^3 z^3-30 a z^3-30 z^3 a^{-1} -6 z^3 a^{-3} +4 z^3 a^{-5} -2 a^4 z^2+a^2 z^2+z^2 a^{-2} -2 z^2 a^{-4} +6 z^2+a^3 z+4 a z+4 z a^{-1} +z a^{-3} +a^2+ a^{-2} +3} |
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