K12a307
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Polynomial invariants
| Jones polynomial | |
| 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 -2 t^3+14 t^2-37 t+51-37 t^{-1} +14 t^{-2} -2 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 -2 z^6+2 z^4+z^2+1} |
| Determinant | 157 |
| 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^6 a^{-2} -z^6+2 a^2 z^4-z^4 a^{-2} +2 z^4 a^{-4} -z^4-a^4 z^2+3 a^2 z^2-z^2 a^{-2} +2 z^2 a^{-4} -z^2 a^{-6} -z^2-a^4+2 a^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 z^{11} a^{-1} +z^{11} a^{-3} +7 z^{10} a^{-2} +4 z^{10} a^{-4} +3 z^{10}+5 a z^9+9 z^9 a^{-1} +10 z^9 a^{-3} +6 z^9 a^{-5} +6 a^2 z^8-9 z^8 a^{-2} -5 z^8 a^{-4} +4 z^8 a^{-6} +6 z^8+5 a^3 z^7+a z^7-17 z^7 a^{-1} -34 z^7 a^{-3} -20 z^7 a^{-5} +z^7 a^{-7} +3 a^4 z^6-5 a^2 z^6-5 z^6 a^{-2} -11 z^6 a^{-4} -14 z^6 a^{-6} -16 z^6+a^5 z^5-6 a^3 z^5-12 a z^5+3 z^5 a^{-1} +30 z^5 a^{-3} +19 z^5 a^{-5} -3 z^5 a^{-7} -5 a^4 z^4-a^2 z^4+5 z^4 a^{-2} +14 z^4 a^{-4} +13 z^4 a^{-6} +8 z^4-2 a^5 z^3+2 a^3 z^3+12 a z^3+6 z^3 a^{-1} -9 z^3 a^{-3} -5 z^3 a^{-5} +2 z^3 a^{-7} +3 a^4 z^2+4 a^2 z^2-z^2 a^{-2} -3 z^2 a^{-4} -2 z^2 a^{-6} +z^2+a^5 z-3 a z-3 z a^{-1} -z a^{-3} -a^4-2 a^2} |
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