K12a101
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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^7+4 q^6-10 q^5+18 q^4-27 q^3+34 q^2-36 q+35-28 q^{-1} +20 q^{-2} -11 q^{-3} +4 q^{-4} - q^{-5} } |
| 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^4-7 t^3+25 t^2-50 t+63-50 t^{-1} +25 t^{-2} -7 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+z^6+3 z^4+3 z^2+1} |
| Determinant | 229 |
| Signature | 0 |
| 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^2 z^6-3 z^6 a^{-2} +5 z^6-3 a^2 z^4-10 z^4 a^{-2} +3 z^4 a^{-4} +13 z^4-5 a^2 z^2-13 z^2 a^{-2} +6 z^2 a^{-4} -z^2 a^{-6} +16 z^2-3 a^2-6 a^{-2} +3 a^{-4} - a^{-6} +8} |
| 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} +15 z^{10} a^{-2} +6 z^{10} a^{-4} +9 z^{10}+16 a z^9+28 z^9 a^{-1} +19 z^9 a^{-3} +7 z^9 a^{-5} +16 a^2 z^8-15 z^8 a^{-2} -3 z^8 a^{-4} +4 z^8 a^{-6} +8 z^8+10 a^3 z^7-22 a z^7-77 z^7 a^{-1} -64 z^7 a^{-3} -18 z^7 a^{-5} +z^7 a^{-7} +4 a^4 z^6-27 a^2 z^6-37 z^6 a^{-2} -27 z^6 a^{-4} -12 z^6 a^{-6} -53 z^6+a^5 z^5-13 a^3 z^5+6 a z^5+66 z^5 a^{-1} +62 z^5 a^{-3} +13 z^5 a^{-5} -3 z^5 a^{-7} -3 a^4 z^4+24 a^2 z^4+59 z^4 a^{-2} +37 z^4 a^{-4} +12 z^4 a^{-6} +61 z^4-a^5 z^3+9 a^3 z^3+7 a z^3-23 z^3 a^{-1} -26 z^3 a^{-3} -3 z^3 a^{-5} +3 z^3 a^{-7} -12 a^2 z^2-32 z^2 a^{-2} -17 z^2 a^{-4} -5 z^2 a^{-6} -32 z^2-3 a^3 z-4 a z+z a^{-1} +4 z a^{-3} +z a^{-5} -z a^{-7} +3 a^2+6 a^{-2} +3 a^{-4} + a^{-6} +8} |
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