K12a1035
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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}+8 q^{13}-14 q^{12}+19 q^{11}-23 q^{10}+24 q^9-22 q^8+18 q^7-11 q^6+7 q^5-3 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 7 t^3-21 t^2+32 t-35+32 t^{-1} -21 t^{-2} +7 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 7 z^6+21 z^4+11 z^2+1} |
| Determinant | 155 |
| 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} +3 z^6 a^{-8} +3 z^6 a^{-10} +3 z^4 a^{-6} +11 z^4 a^{-8} +11 z^4 a^{-10} -4 z^4 a^{-12} +z^2 a^{-6} +10 z^2 a^{-8} +11 z^2 a^{-10} -12 z^2 a^{-12} +z^2 a^{-14} +2 a^{-8} +4 a^{-10} -7 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 2 z^{11} a^{-11} +2 z^{11} a^{-13} +6 z^{10} a^{-10} +11 z^{10} a^{-12} +5 z^{10} a^{-14} +7 z^9 a^{-9} +6 z^9 a^{-11} +5 z^9 a^{-13} +6 z^9 a^{-15} +6 z^8 a^{-8} -18 z^8 a^{-10} -39 z^8 a^{-12} -9 z^8 a^{-14} +6 z^8 a^{-16} +3 z^7 a^{-7} -22 z^7 a^{-9} -41 z^7 a^{-11} -29 z^7 a^{-13} -9 z^7 a^{-15} +4 z^7 a^{-17} +z^6 a^{-6} -20 z^6 a^{-8} +20 z^6 a^{-10} +63 z^6 a^{-12} +9 z^6 a^{-14} -12 z^6 a^{-16} +z^6 a^{-18} -8 z^5 a^{-7} +22 z^5 a^{-9} +76 z^5 a^{-11} +54 z^5 a^{-13} -2 z^5 a^{-15} -10 z^5 a^{-17} -3 z^4 a^{-6} +21 z^4 a^{-8} -8 z^4 a^{-10} -47 z^4 a^{-12} -11 z^4 a^{-14} +2 z^4 a^{-16} -2 z^4 a^{-18} +2 z^3 a^{-7} -7 z^3 a^{-9} -47 z^3 a^{-11} -43 z^3 a^{-13} +z^3 a^{-15} +6 z^3 a^{-17} +z^2 a^{-6} -12 z^2 a^{-8} +9 z^2 a^{-10} +25 z^2 a^{-12} +4 z^2 a^{-14} +2 z^2 a^{-16} +z^2 a^{-18} +11 z a^{-11} +11 z a^{-13} +2 a^{-8} -4 a^{-10} -7 a^{-12} -2 a^{-14} } |
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