K12a1025
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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^3-4 q^2+9 q-18+29 q^{-1} -36 q^{-2} +41 q^{-3} -39 q^{-4} +33 q^{-5} -24 q^{-6} +14 q^{-7} -6 q^{-8} + q^{-9} } |
| 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+12 t^3-31 t^2+52 t-61+52 t^{-1} -31 t^{-2} +12 t^{-3} -2 t^{-4} } |
| Conway polynomial | |
| Determinant | 255 |
| 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^4 z^8-a^2 z^8+a^6 z^6-2 a^4 z^6-4 a^2 z^6+z^6+a^6 z^4+4 a^4 z^4-7 a^2 z^4+3 z^4-3 a^6 z^2+11 a^4 z^2-6 a^2 z^2+2 z^2-3 a^6+5 a^4-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 4 a^5 z^{11}+4 a^3 z^{11}+12 a^6 z^{10}+22 a^4 z^{10}+10 a^2 z^{10}+17 a^7 z^9+20 a^5 z^9+14 a^3 z^9+11 a z^9+14 a^8 z^8-7 a^6 z^8-45 a^4 z^8-16 a^2 z^8+8 z^8+6 a^9 z^7-27 a^7 z^7-55 a^5 z^7-50 a^3 z^7-24 a z^7+4 z^7 a^{-1} +a^{10} z^6-24 a^8 z^6-18 a^6 z^6+32 a^4 z^6+6 a^2 z^6+z^6 a^{-2} -18 z^6-7 a^9 z^5+4 a^7 z^5+38 a^5 z^5+56 a^3 z^5+20 a z^5-9 z^5 a^{-1} +7 a^8 z^4+8 a^6 z^4-a^4 z^4+13 a^2 z^4-2 z^4 a^{-2} +13 z^4+a^7 z^3-8 a^5 z^3-17 a^3 z^3-4 a z^3+4 z^3 a^{-1} +2 a^8 z^2-4 a^6 z^2-11 a^4 z^2-9 a^2 z^2-4 z^2+2 a^9 z-2 a^5 z+3 a^6+5 a^4+a^2} |
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