K12a1013
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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^8+3 q^7-6 q^6+10 q^5-14 q^4+17 q^3-18 q^2+17 q-13+10 q^{-1} -6 q^{-2} +3 q^{-3} - q^{-4} } |
| 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+20 t-21+20 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+2 z^2+1} |
| Determinant | 119 |
| 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^{10} a^{-2} +8 z^8 a^{-2} -z^8 a^{-4} -z^8+24 z^6 a^{-2} -6 z^6 a^{-4} -6 z^6+33 z^4 a^{-2} -12 z^4 a^{-4} -12 z^4+20 z^2 a^{-2} -9 z^2 a^{-4} -9 z^2+4 a^{-2} -2 a^{-4} -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 2 z^{11} a^{-1} +2 z^{11} a^{-3} +9 z^{10} a^{-2} +5 z^{10} a^{-4} +4 z^{10}+4 a z^9-3 z^9 a^{-1} -z^9 a^{-3} +6 z^9 a^{-5} +3 a^2 z^8-42 z^8 a^{-2} -18 z^8 a^{-4} +6 z^8 a^{-6} -15 z^8+a^3 z^7-14 a z^7-8 z^7 a^{-1} -16 z^7 a^{-3} -18 z^7 a^{-5} +5 z^7 a^{-7} -12 a^2 z^6+81 z^6 a^{-2} +31 z^6 a^{-4} -15 z^6 a^{-6} +3 z^6 a^{-8} +20 z^6-4 a^3 z^5+10 a z^5+20 z^5 a^{-1} +42 z^5 a^{-3} +24 z^5 a^{-5} -11 z^5 a^{-7} +z^5 a^{-9} +12 a^2 z^4-74 z^4 a^{-2} -22 z^4 a^{-4} +14 z^4 a^{-6} -6 z^4 a^{-8} -20 z^4+4 a^3 z^3-19 z^3 a^{-1} -33 z^3 a^{-3} -10 z^3 a^{-5} +6 z^3 a^{-7} -2 z^3 a^{-9} -3 a^2 z^2+28 z^2 a^{-2} +10 z^2 a^{-4} -3 z^2 a^{-6} +z^2 a^{-8} +11 z^2-a^3 z+5 z a^{-1} +7 z a^{-3} +2 z a^{-5} -z a^{-7} -4 a^{-2} -2 a^{-4} -1} |
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