K12a105
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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^{13}-3 q^{12}+6 q^{11}-11 q^{10}+15 q^9-19 q^8+20 q^7-18 q^6+16 q^5-11 q^4+7 q^3-3 q^2+q} |
| 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^3-17 t^2+26 t-29+26 t^{-1} -17 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+5 z^4+5 z^2+1} |
| Determinant | 131 |
| Signature | 6 |
| 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^8 a^{-6} +z^6 a^{-4} -5 z^6 a^{-6} +3 z^6 a^{-8} +4 z^4 a^{-4} -9 z^4 a^{-6} +13 z^4 a^{-8} -3 z^4 a^{-10} +5 z^2 a^{-4} -8 z^2 a^{-6} +17 z^2 a^{-8} -10 z^2 a^{-10} +z^2 a^{-12} +2 a^{-4} -3 a^{-6} +7 a^{-8} -7 a^{-10} +2 a^{-12} } |
| 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^{11} a^{-7} +z^{11} a^{-9} +3 z^{10} a^{-6} +7 z^{10} a^{-8} +4 z^{10} a^{-10} +3 z^9 a^{-5} +7 z^9 a^{-7} +11 z^9 a^{-9} +7 z^9 a^{-11} +z^8 a^{-4} -8 z^8 a^{-6} -15 z^8 a^{-8} +2 z^8 a^{-10} +8 z^8 a^{-12} -14 z^7 a^{-5} -41 z^7 a^{-7} -43 z^7 a^{-9} -9 z^7 a^{-11} +7 z^7 a^{-13} -5 z^6 a^{-4} -6 z^6 a^{-6} -18 z^6 a^{-8} -34 z^6 a^{-10} -12 z^6 a^{-12} +5 z^6 a^{-14} +21 z^5 a^{-5} +55 z^5 a^{-7} +36 z^5 a^{-9} -9 z^5 a^{-11} -8 z^5 a^{-13} +3 z^5 a^{-15} +9 z^4 a^{-4} +26 z^4 a^{-6} +50 z^4 a^{-8} +44 z^4 a^{-10} +6 z^4 a^{-12} -4 z^4 a^{-14} +z^4 a^{-16} -11 z^3 a^{-5} -25 z^3 a^{-7} -4 z^3 a^{-9} +17 z^3 a^{-11} +4 z^3 a^{-13} -3 z^3 a^{-15} -7 z^2 a^{-4} -17 z^2 a^{-6} -31 z^2 a^{-8} -26 z^2 a^{-10} -3 z^2 a^{-12} +z^2 a^{-14} -z^2 a^{-16} +z a^{-5} +4 z a^{-7} -3 z a^{-9} -8 z a^{-11} -z a^{-13} +z a^{-15} +2 a^{-4} +3 a^{-6} +7 a^{-8} +7 a^{-10} +2 a^{-12} } |
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