K12a1088
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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+11 q^4-21 q^3+31 q^2-38 q+41-38 q^{-1} +31 q^{-2} -21 q^{-3} +11 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^4-9 t^3+29 t^2-54 t+67-54 t^{-1} +29 t^{-2} -9 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^6-5 z^4-3 z^2+1} |
| Determinant | 253 |
| 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^8-2 a^2 z^6-2 z^6 a^{-2} +3 z^6+a^4 z^4-5 a^2 z^4-5 z^4 a^{-2} +z^4 a^{-4} +3 z^4+2 a^4 z^2-4 a^2 z^2-4 z^2 a^{-2} +2 z^2 a^{-4} +z^2+a^4-a^2- a^{-2} + a^{-4} +1} |
| 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}+10 z^{10} a^{-2} +19 z^{10}+12 a^3 z^9+23 a z^9+24 z^9 a^{-1} +13 z^9 a^{-3} +9 a^4 z^8+a^2 z^8-6 z^8 a^{-2} +9 z^8 a^{-4} -23 z^8+4 a^5 z^7-19 a^3 z^7-60 a z^7-67 z^7 a^{-1} -26 z^7 a^{-3} +4 z^7 a^{-5} +a^6 z^6-17 a^4 z^6-31 a^2 z^6-16 z^6 a^{-2} -17 z^6 a^{-4} +z^6 a^{-6} -11 z^6-7 a^5 z^5+10 a^3 z^5+49 a z^5+64 z^5 a^{-1} +25 z^5 a^{-3} -7 z^5 a^{-5} -2 a^6 z^4+14 a^4 z^4+32 a^2 z^4+21 z^4 a^{-2} +13 z^4 a^{-4} -2 z^4 a^{-6} +22 z^4+4 a^5 z^3-3 a^3 z^3-18 a z^3-29 z^3 a^{-1} -15 z^3 a^{-3} +3 z^3 a^{-5} +a^6 z^2-7 a^4 z^2-12 a^2 z^2-10 z^2 a^{-2} -6 z^2 a^{-4} +z^2 a^{-6} -7 z^2-a^5 z+3 a z+5 z a^{-1} +3 z a^{-3} +a^4+a^2+ a^{-2} + a^{-4} +1} |
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