K12a1112
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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^{15}-4 q^{14}+9 q^{13}-17 q^{12}+25 q^{11}-32 q^{10}+34 q^9-32 q^8+27 q^7-18 q^6+11 q^5-4 q^4+q^3} |
| 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 8 t^3-27 t^2+46 t-53+46 t^{-1} -27 t^{-2} +8 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 8 z^6+21 z^4+10 z^2+1} |
| Determinant | 215 |
| 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^6 a^{-6} +4 z^6 a^{-8} +3 z^6 a^{-10} +2 z^4 a^{-6} +14 z^4 a^{-8} +9 z^4 a^{-10} -4 z^4 a^{-12} +13 z^2 a^{-8} +7 z^2 a^{-10} -11 z^2 a^{-12} +z^2 a^{-14} +3 a^{-8} +2 a^{-10} -6 a^{-12} +2 a^{-14} } |
| 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 3 z^{11} a^{-11} +3 z^{11} a^{-13} +10 z^{10} a^{-10} +17 z^{10} a^{-12} +7 z^{10} a^{-14} +13 z^9 a^{-9} +15 z^9 a^{-11} +10 z^9 a^{-13} +8 z^9 a^{-15} +10 z^8 a^{-8} -19 z^8 a^{-10} -43 z^8 a^{-12} -7 z^8 a^{-14} +7 z^8 a^{-16} +4 z^7 a^{-7} -33 z^7 a^{-9} -58 z^7 a^{-11} -35 z^7 a^{-13} -10 z^7 a^{-15} +4 z^7 a^{-17} +z^6 a^{-6} -26 z^6 a^{-8} +12 z^6 a^{-10} +54 z^6 a^{-12} +z^6 a^{-14} -13 z^6 a^{-16} +z^6 a^{-18} -7 z^5 a^{-7} +28 z^5 a^{-9} +75 z^5 a^{-11} +46 z^5 a^{-13} -3 z^5 a^{-15} -9 z^5 a^{-17} -2 z^4 a^{-6} +24 z^4 a^{-8} -4 z^4 a^{-10} -41 z^4 a^{-12} -4 z^4 a^{-14} +5 z^4 a^{-16} -2 z^4 a^{-18} -6 z^3 a^{-9} -38 z^3 a^{-11} -33 z^3 a^{-13} +5 z^3 a^{-15} +6 z^3 a^{-17} -13 z^2 a^{-8} +6 z^2 a^{-10} +22 z^2 a^{-12} +3 z^2 a^{-14} +z^2 a^{-16} +z^2 a^{-18} -2 z a^{-9} +7 z a^{-11} +9 z a^{-13} -z a^{-15} -z a^{-17} +3 a^{-8} -2 a^{-10} -6 a^{-12} -2 a^{-14} } |
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