K12a11
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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+4-8 q^{-1} +15 q^{-2} -20 q^{-3} +24 q^{-4} -26 q^{-5} +24 q^{-6} -19 q^{-7} +13 q^{-8} -7 q^{-9} +3 q^{-10} - q^{-11} } |
| 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^4-7 t^3+21 t^2-34 t+39-34 t^{-1} +21 t^{-2} -7 t^{-3} + 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 z^8+z^6-z^4+3 z^2+1} |
| Determinant | 165 |
| Signature | -4 |
| 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 -z^2 a^{10}-2 a^{10}+3 z^4 a^8+9 z^2 a^8+6 a^8-3 z^6 a^6-12 z^4 a^6-16 z^2 a^6-8 a^6+z^8 a^4+5 z^6 a^4+11 z^4 a^4+13 z^2 a^4+5 a^4-z^6 a^2-3 z^4 a^2-2 z^2 a^2} |
| 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 z^5 a^{13}-2 z^3 a^{13}+z a^{13}+3 z^6 a^{12}-5 z^4 a^{12}+2 z^2 a^{12}+5 z^7 a^{11}-6 z^5 a^{11}+z^3 a^{11}+7 z^8 a^{10}-11 z^6 a^{10}+11 z^4 a^{10}-8 z^2 a^{10}+2 a^{10}+7 z^9 a^9-10 z^7 a^9+8 z^5 a^9-3 z^3 a^9+z a^9+4 z^{10} a^8+6 z^8 a^8-36 z^6 a^8+54 z^4 a^8-31 z^2 a^8+6 a^8+z^{11} a^7+15 z^9 a^7-47 z^7 a^7+51 z^5 a^7-23 z^3 a^7+5 z a^7+8 z^{10} a^6-5 z^8 a^6-42 z^6 a^6+73 z^4 a^6-43 z^2 a^6+8 a^6+z^{11} a^5+14 z^9 a^5-51 z^7 a^5+53 z^5 a^5-24 z^3 a^5+5 z a^5+4 z^{10} a^4-34 z^6 a^4+50 z^4 a^4-28 z^2 a^4+5 a^4+6 z^9 a^3-18 z^7 a^3+14 z^5 a^3-5 z^3 a^3+2 z a^3+4 z^8 a^2-14 z^6 a^2+15 z^4 a^2-6 z^2 a^2+z^7 a-3 z^5 a+2 z^3 a} |
Modifying This Page
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