K12a1022
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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}+4 q^9-11 q^8+20 q^7-28 q^6+36 q^5-39 q^4+36 q^3-30 q^2+21 q-11+5 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 3 t^3-21 t^2+58 t-79+58 t^{-1} -21 t^{-2} +3 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 3 z^6-3 z^4+z^2+1} |
| Determinant | 243 |
| Signature | 2 |
| 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^{-2} +2 z^6 a^{-4} +3 z^4 a^{-4} -5 z^4 a^{-6} -z^4+3 z^2 a^{-4} -6 z^2 a^{-6} +4 z^2 a^{-8} - a^{-6} +2 a^{-8} - a^{-10} +1} |
| 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 4 z^{11} a^{-5} +4 z^{11} a^{-7} +14 z^{10} a^{-4} +23 z^{10} a^{-6} +9 z^{10} a^{-8} +20 z^9 a^{-3} +25 z^9 a^{-5} +13 z^9 a^{-7} +8 z^9 a^{-9} +17 z^8 a^{-2} -17 z^8 a^{-4} -56 z^8 a^{-6} -18 z^8 a^{-8} +4 z^8 a^{-10} +11 z^7 a^{-1} -39 z^7 a^{-3} -96 z^7 a^{-5} -68 z^7 a^{-7} -21 z^7 a^{-9} +z^7 a^{-11} -23 z^6 a^{-2} -8 z^6 a^{-4} +31 z^6 a^{-6} -11 z^6 a^{-10} +5 z^6+a z^5-11 z^5 a^{-1} +33 z^5 a^{-3} +109 z^5 a^{-5} +83 z^5 a^{-7} +16 z^5 a^{-9} -3 z^5 a^{-11} +6 z^4 a^{-2} +18 z^4 a^{-4} +10 z^4 a^{-6} +11 z^4 a^{-8} +9 z^4 a^{-10} -4 z^4-14 z^3 a^{-3} -43 z^3 a^{-5} -41 z^3 a^{-7} -9 z^3 a^{-9} +3 z^3 a^{-11} -3 z^2 a^{-4} -6 z^2 a^{-6} -7 z^2 a^{-8} -4 z^2 a^{-10} +3 z a^{-5} +6 z a^{-7} +2 z a^{-9} -z a^{-11} + a^{-6} +2 a^{-8} + a^{-10} +1} |
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