K12a1129
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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^2-13 q+16-16 q^{-1} +14 q^{-2} -11 q^{-3} +8 q^{-4} -4 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+13 t^2-19 t+23-19 t^{-1} +13 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+11 z^4+2 z^2+1} |
| Determinant | 105 |
| 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^8+z^8-a^4 z^6+6 a^2 z^6-z^6 a^{-2} +5 z^6-5 a^4 z^4+13 a^2 z^4-4 z^4 a^{-2} +7 z^4-7 a^4 z^2+12 a^2 z^2-4 z^2 a^{-2} +z^2-2 a^4+4 a^2-1} |
| 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}+2 a^4 z^{10}+5 a^2 z^{10}+3 z^{10}+2 a^5 z^9-a^3 z^9+2 a z^9+5 z^9 a^{-1} +2 a^6 z^8-7 a^4 z^8-21 a^2 z^8+6 z^8 a^{-2} -6 z^8+a^7 z^7-6 a^5 z^7-2 a^3 z^7-13 a z^7-13 z^7 a^{-1} +5 z^7 a^{-3} -9 a^6 z^6+12 a^4 z^6+44 a^2 z^6-16 z^6 a^{-2} +3 z^6 a^{-4} +4 z^6-5 a^7 z^5+2 a^5 z^5+5 a^3 z^5+25 a z^5+15 z^5 a^{-1} -11 z^5 a^{-3} +z^5 a^{-5} +12 a^6 z^4-17 a^4 z^4-48 a^2 z^4+18 z^4 a^{-2} -6 z^4 a^{-4} +5 z^4+7 a^7 z^3+3 a^5 z^3-10 a^3 z^3-17 a z^3-3 z^3 a^{-1} +6 z^3 a^{-3} -2 z^3 a^{-5} -5 a^6 z^2+9 a^4 z^2+22 a^2 z^2-7 z^2 a^{-2} +z^2 a^{-4} -2 a^7 z-a^5 z+4 a^3 z+4 a z-z a^{-3} -2 a^4-4 a^2-1} |
Modifying This Page
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