K12a1111
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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^5-5 q^4+11 q^3-18 q^2+26 q-30+32 q^{-1} -30 q^{-2} +24 q^{-3} -16 q^{-4} +9 q^{-5} -4 q^{-6} + q^{-7} } |
| 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^4+11 t^3-27 t^2+41 t-45+41 t^{-1} -27 t^{-2} +11 t^{-3} -2 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 -2 z^8-5 z^6-z^4+1} |
| Determinant | 207 |
| 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 -a^2 z^8-z^8+a^4 z^6-4 a^2 z^6+z^6 a^{-2} -3 z^6+3 a^4 z^4-6 a^2 z^4+2 z^4 a^{-2} +2 a^4 z^2-6 a^2 z^2-z^2 a^{-2} +5 z^2+a^4-3 a^2- a^{-2} +4} |
| 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 4 a z^{11}+4 z^{11} a^{-1} +13 a^2 z^{10}+8 z^{10} a^{-2} +21 z^{10}+20 a^3 z^9+18 a z^9+3 z^9 a^{-1} +5 z^9 a^{-3} +20 a^4 z^8-17 a^2 z^8-29 z^8 a^{-2} +z^8 a^{-4} -67 z^8+15 a^5 z^7-42 a^3 z^7-91 a z^7-53 z^7 a^{-1} -19 z^7 a^{-3} +9 a^6 z^6-36 a^4 z^6-29 a^2 z^6+28 z^6 a^{-2} -3 z^6 a^{-4} +47 z^6+4 a^7 z^5-18 a^5 z^5+20 a^3 z^5+94 a z^5+74 z^5 a^{-1} +22 z^5 a^{-3} +a^8 z^4-6 a^6 z^4+19 a^4 z^4+42 a^2 z^4-z^4 a^{-2} +3 z^4 a^{-4} +12 z^4-a^7 z^3+6 a^5 z^3-a^3 z^3-28 a z^3-27 z^3 a^{-1} -7 z^3 a^{-3} +a^6 z^2-5 a^4 z^2-17 a^2 z^2-7 z^2 a^{-2} -z^2 a^{-4} -17 z^2-a^5 z-a^3 z+a z+z a^{-1} +a^4+3 a^2+ a^{-2} +4} |
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