K12a12
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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^2+4 q-8+15 q^{-1} -21 q^{-2} +25 q^{-3} -26 q^{-4} +24 q^{-5} -19 q^{-6} +13 q^{-7} -7 q^{-8} +3 q^{-9} - q^{-10} } |
| 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^3-14 t^2+40 t-55+40 t^{-1} -14 t^{-2} +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 2 z^6-2 z^4+2 z^2+1} |
| Determinant | 167 |
| Signature | -2 |
| 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^{10}+3 z^2 a^8+2 a^8-3 z^4 a^6-3 z^2 a^6-a^6+z^6 a^4-z^2 a^4-a^4+z^6 a^2+2 z^4 a^2+4 z^2 a^2+2 a^2-z^4-z^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^7 a^{11}-4 z^5 a^{11}+5 z^3 a^{11}-2 z a^{11}+3 z^8 a^{10}-11 z^6 a^{10}+13 z^4 a^{10}-6 z^2 a^{10}+a^{10}+4 z^9 a^9-10 z^7 a^9+3 z^5 a^9+5 z^3 a^9-2 z a^9+3 z^{10} a^8-20 z^6 a^8+26 z^4 a^8-12 z^2 a^8+2 a^8+z^{11} a^7+9 z^9 a^7-27 z^7 a^7+19 z^5 a^7-3 z^3 a^7-z a^7+7 z^{10} a^6-5 z^8 a^6-17 z^6 a^6+20 z^4 a^6-8 z^2 a^6+a^6+z^{11} a^5+12 z^9 a^5-24 z^7 a^5+9 z^5 a^5+4 z^3 a^5-3 z a^5+4 z^{10} a^4+6 z^8 a^4-17 z^6 a^4+5 z^4 a^4+4 z^2 a^4-a^4+7 z^9 a^3-z^7 a^3-13 z^5 a^3+12 z^3 a^3-3 z a^3+8 z^8 a^2-5 z^6 a^2-8 z^4 a^2+9 z^2 a^2-2 a^2+7 z^7 a-9 z^5 a+4 z^3 a-z a+4 z^6-6 z^4+3 z^2+z^5 a^{-1} -z^3 a^{-1} } |
Modifying This Page
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