K12a1000
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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^4-7 q^3+12 q^2-18 q+23-23 q^{-1} +23 q^{-2} -18 q^{-3} +13 q^{-4} -8 q^{-5} +3 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^4-8 t^3+19 t^2-30 t+35-30 t^{-1} +19 t^{-2} -8 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+8 z^6+11 z^4+6 z^2+1} |
| Determinant | 153 |
| 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+5 a^2 z^6-z^6 a^{-2} +5 z^6-4 a^4 z^4+10 a^2 z^4-4 z^4 a^{-2} +9 z^4-6 a^4 z^2+11 a^2 z^2-5 z^2 a^{-2} +6 z^2-4 a^4+6 a^2-2 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 2 a^3 z^{11}+2 a z^{11}+5 a^4 z^{10}+11 a^2 z^{10}+6 z^{10}+5 a^5 z^9+5 a^3 z^9+8 a z^9+8 z^9 a^{-1} +3 a^6 z^8-14 a^4 z^8-35 a^2 z^8+7 z^8 a^{-2} -11 z^8+a^7 z^7-16 a^5 z^7-36 a^3 z^7-43 a z^7-19 z^7 a^{-1} +5 z^7 a^{-3} -10 a^6 z^6+12 a^4 z^6+38 a^2 z^6-13 z^6 a^{-2} +3 z^6 a^{-4} -4 a^7 z^5+15 a^5 z^5+57 a^3 z^5+66 a z^5+20 z^5 a^{-1} -7 z^5 a^{-3} +z^5 a^{-5} +8 a^6 z^4-13 a^4 z^4-17 a^2 z^4+11 z^4 a^{-2} -5 z^4 a^{-4} +20 z^4+5 a^7 z^3-11 a^5 z^3-46 a^3 z^3-38 a z^3-5 z^3 a^{-1} +z^3 a^{-3} -2 z^3 a^{-5} -a^6 z^2+9 a^4 z^2+8 a^2 z^2-7 z^2 a^{-2} +z^2 a^{-4} -10 z^2-2 a^7 z+5 a^5 z+15 a^3 z+10 a z-z a^{-3} +z a^{-5} -4 a^4-6 a^2+2 a^{-2} +1} |
Modifying This Page
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