K12a1027
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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^4+2 q^3-4 q^2+7 q-9+12 q^{-1} -12 q^{-2} +12 q^{-3} -10 q^{-4} +7 q^{-5} -4 q^{-6} +2 q^{-7} - q^{-8} } |
| 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^5-3 t^4+6 t^3-10 t^2+14 t-15+14 t^{-1} -10 t^{-2} +6 t^{-3} -3 t^{-4} + t^{-5} } |
| 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^{10}+7 z^8+17 z^6+16 z^4+5 z^2+1} |
| Determinant | 83 |
| 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^{10}-a^4 z^8+9 a^2 z^8-z^8-7 a^4 z^6+31 a^2 z^6-7 z^6-17 a^4 z^4+50 a^2 z^4-17 z^4-16 a^4 z^2+37 a^2 z^2-16 z^2-5 a^4+10 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 a^3 z^{11}+a z^{11}+3 a^4 z^{10}+5 a^2 z^{10}+2 z^{10}+4 a^5 z^9-2 a z^9+2 z^9 a^{-1} +4 a^6 z^8-13 a^4 z^8-28 a^2 z^8+2 z^8 a^{-2} -9 z^8+3 a^7 z^7-16 a^5 z^7-14 a^3 z^7-3 a z^7-7 z^7 a^{-1} +z^7 a^{-3} +2 a^8 z^6-14 a^6 z^6+25 a^4 z^6+70 a^2 z^6-9 z^6 a^{-2} +20 z^6+a^9 z^5-8 a^7 z^5+25 a^5 z^5+40 a^3 z^5+16 a z^5+5 z^5 a^{-1} -5 z^5 a^{-3} -5 a^8 z^4+18 a^6 z^4-21 a^4 z^4-86 a^2 z^4+11 z^4 a^{-2} -31 z^4-3 a^9 z^3+5 a^7 z^3-10 a^5 z^3-36 a^3 z^3-25 a z^3+7 z^3 a^{-3} +a^8 z^2-6 a^6 z^2+16 a^4 z^2+46 a^2 z^2-3 z^2 a^{-2} +20 z^2+a^9 z-a^7 z+2 a^5 z+10 a^3 z+8 a z-2 z a^{-3} -5 a^4-10 a^2-4} |
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