K12a1089
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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+7 q^8-13 q^7+19 q^6-23 q^5+24 q^4-23 q^3+19 q^2-13 q+8-3 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^4-8 t^3+21 t^2-31 t+35-31 t^{-1} +21 t^{-2} -8 t^{-3} + t^{-4} } |
| 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^8-7 z^4-3 z^2+1} |
| Determinant | 157 |
| 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^8 a^{-4} -2 z^6 a^{-2} +4 z^6 a^{-4} -2 z^6 a^{-6} -7 z^4 a^{-2} +5 z^4 a^{-4} -7 z^4 a^{-6} +z^4 a^{-8} +z^4-6 z^2 a^{-2} +3 z^2 a^{-4} -6 z^2 a^{-6} +3 z^2 a^{-8} +3 z^2- a^{-2} - a^{-6} + a^{-8} +2} |
| 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} +11 z^{10} a^{-4} +7 z^{10} a^{-6} +3 z^9 a^{-1} +3 z^9 a^{-3} +12 z^9 a^{-5} +12 z^9 a^{-7} -13 z^8 a^{-2} -32 z^8 a^{-4} -5 z^8 a^{-6} +13 z^8 a^{-8} +z^8-13 z^7 a^{-1} -32 z^7 a^{-3} -54 z^7 a^{-5} -25 z^7 a^{-7} +10 z^7 a^{-9} +6 z^6 a^{-2} +15 z^6 a^{-4} -29 z^6 a^{-6} -27 z^6 a^{-8} +6 z^6 a^{-10} -5 z^6+18 z^5 a^{-1} +41 z^5 a^{-3} +54 z^5 a^{-5} +13 z^5 a^{-7} -15 z^5 a^{-9} +3 z^5 a^{-11} +11 z^4 a^{-2} +9 z^4 a^{-4} +36 z^4 a^{-6} +23 z^4 a^{-8} -5 z^4 a^{-10} +z^4 a^{-12} +9 z^4-8 z^3 a^{-1} -14 z^3 a^{-3} -21 z^3 a^{-5} -2 z^3 a^{-7} +11 z^3 a^{-9} -2 z^3 a^{-11} -8 z^2 a^{-2} -4 z^2 a^{-4} -14 z^2 a^{-6} -8 z^2 a^{-8} +2 z^2 a^{-10} -z^2 a^{-12} -7 z^2+z a^{-3} +3 z a^{-5} -2 z a^{-9} + a^{-2} + a^{-6} + a^{-8} +2} |
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