K12a1051
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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^{10}-3 q^9+6 q^8-10 q^7+13 q^6-16 q^5+17 q^4-15 q^3+13 q^2-9 q+6-3 q^{-1} + q^{-2} } |
| 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^5+4 t^4-9 t^3+15 t^2-18 t+19-18 t^{-1} +15 t^{-2} -9 t^{-3} +4 t^{-4} - t^{-5} } |
| 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^{10}-6 z^8-12 z^6-9 z^4+1} |
| Determinant | 113 |
| 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^{10} a^{-4} +z^8 a^{-2} -8 z^8 a^{-4} +z^8 a^{-6} +6 z^6 a^{-2} -24 z^6 a^{-4} +6 z^6 a^{-6} +12 z^4 a^{-2} -33 z^4 a^{-4} +12 z^4 a^{-6} +10 z^2 a^{-2} -19 z^2 a^{-4} +9 z^2 a^{-6} +3 a^{-2} -3 a^{-4} + a^{-6} } |
| 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^{-3} +2 z^{11} a^{-5} +4 z^{10} a^{-2} +9 z^{10} a^{-4} +5 z^{10} a^{-6} +3 z^9 a^{-1} -3 z^9 a^{-3} +6 z^9 a^{-7} -19 z^8 a^{-2} -41 z^8 a^{-4} -15 z^8 a^{-6} +6 z^8 a^{-8} +z^8-15 z^7 a^{-1} -16 z^7 a^{-3} -20 z^7 a^{-5} -13 z^7 a^{-7} +6 z^7 a^{-9} +27 z^6 a^{-2} +63 z^6 a^{-4} +19 z^6 a^{-6} -7 z^6 a^{-8} +5 z^6 a^{-10} -5 z^6+22 z^5 a^{-1} +32 z^5 a^{-3} +30 z^5 a^{-5} +11 z^5 a^{-7} -6 z^5 a^{-9} +3 z^5 a^{-11} -17 z^4 a^{-2} -49 z^4 a^{-4} -19 z^4 a^{-6} -5 z^4 a^{-10} +z^4 a^{-12} +7 z^4-11 z^3 a^{-1} -16 z^3 a^{-3} -16 z^3 a^{-5} -7 z^3 a^{-7} +z^3 a^{-9} -3 z^3 a^{-11} +9 z^2 a^{-2} +22 z^2 a^{-4} +8 z^2 a^{-6} +z^2 a^{-8} +2 z^2 a^{-10} -z^2 a^{-12} -3 z^2+z a^{-1} +3 z a^{-3} +2 z a^{-5} +z a^{-9} +z a^{-11} -3 a^{-2} -3 a^{-4} - a^{-6} } |
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