K12a1087
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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+27 q^2-33 q+36-34 q^{-1} +27 q^{-2} -19 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^4-8 t^3+25 t^2-48 t+61-48 t^{-1} +25 t^{-2} -8 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^8-3 z^4-4 z^2+1} |
| Determinant | 225 |
| 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} +4 z^6+a^4 z^4-6 a^2 z^4-6 z^4 a^{-2} +z^4 a^{-4} +7 z^4+2 a^4 z^2-7 a^2 z^2-6 z^2 a^{-2} +2 z^2 a^{-4} +5 z^2+2 a^4-3 a^2- a^{-2} + a^{-4} +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 3 a z^{11}+3 z^{11} a^{-1} +9 a^2 z^{10}+8 z^{10} a^{-2} +17 z^{10}+12 a^3 z^9+16 a z^9+14 z^9 a^{-1} +10 z^9 a^{-3} +9 a^4 z^8-9 a^2 z^8-7 z^8 a^{-2} +8 z^8 a^{-4} -33 z^8+4 a^5 z^7-26 a^3 z^7-53 a z^7-45 z^7 a^{-1} -18 z^7 a^{-3} +4 z^7 a^{-5} +a^6 z^6-19 a^4 z^6-12 a^2 z^6-7 z^6 a^{-2} -16 z^6 a^{-4} +z^6 a^{-6} +18 z^6-7 a^5 z^5+22 a^3 z^5+58 a z^5+49 z^5 a^{-1} +12 z^5 a^{-3} -8 z^5 a^{-5} -2 a^6 z^4+14 a^4 z^4+25 a^2 z^4+11 z^4 a^{-2} +10 z^4 a^{-4} -2 z^4 a^{-6} +8 z^4+2 a^5 z^3-13 a^3 z^3-26 a z^3-23 z^3 a^{-1} -8 z^3 a^{-3} +4 z^3 a^{-5} +a^6 z^2-9 a^4 z^2-16 a^2 z^2-7 z^2 a^{-2} -4 z^2 a^{-4} +z^2 a^{-6} -8 z^2+4 a^3 z+6 a z+4 z a^{-1} +2 z a^{-3} +2 a^4+3 a^2+ a^{-2} + a^{-4} +2} |
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