K12a1124
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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^6-3 q^5+9 q^4-17 q^3+25 q^2-31 q+33-31 q^{-1} +25 q^{-2} -17 q^{-3} +9 q^{-4} -3 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 -t^3+13 t^2-50 t+77-50 t^{-1} +13 t^{-2} - 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 -z^6+7 z^4-7 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^6-3 z^2 a^4+3 z^4 a^2-z^2 a^2-2 a^2-z^6+z^4+z^2+3+3 z^4 a^{-2} -z^2 a^{-2} -2 a^{-2} -3 z^2 a^{-4} + a^{-6} } |
| 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 2 a z^{11}+2 z^{11} a^{-1} +6 a^2 z^{10}+6 z^{10} a^{-2} +12 z^{10}+8 a^3 z^9+14 a z^9+14 z^9 a^{-1} +8 z^9 a^{-3} +6 a^4 z^8-a^2 z^8-z^8 a^{-2} +6 z^8 a^{-4} -14 z^8+3 a^5 z^7-14 a^3 z^7-36 a z^7-36 z^7 a^{-1} -14 z^7 a^{-3} +3 z^7 a^{-5} +a^6 z^6-11 a^4 z^6-14 a^2 z^6-14 z^6 a^{-2} -11 z^6 a^{-4} +z^6 a^{-6} -4 z^6-6 a^5 z^5+13 a^3 z^5+36 a z^5+36 z^5 a^{-1} +13 z^5 a^{-3} -6 z^5 a^{-5} -3 a^6 z^4+7 a^4 z^4+17 a^2 z^4+17 z^4 a^{-2} +7 z^4 a^{-4} -3 z^4 a^{-6} +14 z^4+3 a^5 z^3-11 a^3 z^3-21 a z^3-21 z^3 a^{-1} -11 z^3 a^{-3} +3 z^3 a^{-5} +3 a^6 z^2-2 a^4 z^2-10 a^2 z^2-10 z^2 a^{-2} -2 z^2 a^{-4} +3 z^2 a^{-6} -10 z^2+4 a^3 z+5 a z+5 z a^{-1} +4 z a^{-3} -a^6+2 a^2+2 a^{-2} - a^{-6} +3} |
Modifying This Page
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