K12a102
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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}+10 q^{13}-19 q^{12}+28 q^{11}-36 q^{10}+38 q^9-36 q^8+30 q^7-20 q^6+12 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 7 t^3-27 t^2+53 t-65+53 t^{-1} -27 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+15 z^4+8 z^2+1} |
| Determinant | 239 |
| 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} +2 z^6 a^{-10} +2 z^4 a^{-6} +14 z^4 a^{-8} +2 z^4 a^{-10} -3 z^4 a^{-12} +z^2 a^{-6} +16 z^2 a^{-8} -5 z^2 a^{-10} -5 z^2 a^{-12} +z^2 a^{-14} +6 a^{-8} -5 a^{-10} - a^{-12} + 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} +8 z^{10} a^{-10} +15 z^{10} a^{-12} +7 z^{10} a^{-14} +12 z^9 a^{-9} +25 z^9 a^{-11} +23 z^9 a^{-13} +10 z^9 a^{-15} +10 z^8 a^{-8} +4 z^8 a^{-10} -10 z^8 a^{-12} +4 z^8 a^{-14} +8 z^8 a^{-16} +4 z^7 a^{-7} -18 z^7 a^{-9} -60 z^7 a^{-11} -57 z^7 a^{-13} -15 z^7 a^{-15} +4 z^7 a^{-17} +z^6 a^{-6} -22 z^6 a^{-8} -35 z^6 a^{-10} -25 z^6 a^{-12} -29 z^6 a^{-14} -15 z^6 a^{-16} +z^6 a^{-18} -6 z^5 a^{-7} +2 z^5 a^{-9} +44 z^5 a^{-11} +51 z^5 a^{-13} +7 z^5 a^{-15} -8 z^5 a^{-17} -2 z^4 a^{-6} +24 z^4 a^{-8} +35 z^4 a^{-10} +24 z^4 a^{-12} +27 z^4 a^{-14} +10 z^4 a^{-16} -2 z^4 a^{-18} +2 z^3 a^{-7} +9 z^3 a^{-9} -11 z^3 a^{-11} -25 z^3 a^{-13} -2 z^3 a^{-15} +5 z^3 a^{-17} +z^2 a^{-6} -18 z^2 a^{-8} -18 z^2 a^{-10} -2 z^2 a^{-12} -7 z^2 a^{-14} -3 z^2 a^{-16} +z^2 a^{-18} -6 z a^{-9} -z a^{-11} +7 z a^{-13} +z a^{-15} -z a^{-17} +6 a^{-8} +5 a^{-10} - a^{-12} - a^{-14} } |
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