K12a1081
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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^6-4 q^5+10 q^4-18 q^3+26 q^2-32 q+35-32 q^{-1} +26 q^{-2} -18 q^{-3} +10 q^{-4} -4 q^{-5} + q^{-6} } |
| 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+25 t^2-46 t+57-46 t^{-1} +25 t^{-2} -8 t^{-3} + t^{-4} } |
| Conway polynomial | |
| Determinant | 217 |
| Signature | 0 |
| HOMFLY-PT polynomial | |
| 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 3 a z^{11}+3 z^{11} a^{-1} +9 a^2 z^{10}+8 z^{10} a^{-2} +17 z^{10}+11 a^3 z^9+15 a z^9+14 z^9 a^{-1} +10 z^9 a^{-3} +8 a^4 z^8-14 a^2 z^8-7 z^8 a^{-2} +8 z^8 a^{-4} -37 z^8+4 a^5 z^7-25 a^3 z^7-59 a z^7-52 z^7 a^{-1} -18 z^7 a^{-3} +4 z^7 a^{-5} +a^6 z^6-16 a^4 z^6+a^2 z^6-14 z^6 a^{-2} -16 z^6 a^{-4} +z^6 a^{-6} +21 z^6-8 a^5 z^5+23 a^3 z^5+77 a z^5+62 z^5 a^{-1} +8 z^5 a^{-3} -8 z^5 a^{-5} -2 a^6 z^4+8 a^4 z^4+13 a^2 z^4+24 z^4 a^{-2} +9 z^4 a^{-4} -2 z^4 a^{-6} +16 z^4+3 a^5 z^3-15 a^3 z^3-38 a z^3-27 z^3 a^{-1} -3 z^3 a^{-3} +4 z^3 a^{-5} +a^6 z^2-4 a^4 z^2-11 a^2 z^2-13 z^2 a^{-2} -5 z^2 a^{-4} +z^2 a^{-6} -13 z^2+3 a^3 z+6 a z+4 z a^{-1} -z a^{-5} +a^4+2 a^2+2 a^{-2} + a^{-4} +3} |
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