K12a18
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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^7-4 q^6+8 q^5-13 q^4+19 q^3-22 q^2+23 q-21+17 q^{-1} -12 q^{-2} +7 q^{-3} -3 q^{-4} + q^{-5} } |
| 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+7 t^3-20 t^2+31 t-33+31 t^{-1} -20 t^{-2} +7 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+2 z^4-2 z^2+1} |
| Determinant | 151 |
| 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 -z^8 a^{-2} -5 z^6 a^{-2} +z^6 a^{-4} +3 z^6-3 a^2 z^4-10 z^4 a^{-2} +3 z^4 a^{-4} +12 z^4+a^4 z^2-9 a^2 z^2-10 z^2 a^{-2} +2 z^2 a^{-4} +14 z^2+2 a^4-5 a^2-3 a^{-2} + a^{-4} +6} |
| 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 z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+5 z^{10} a^{-2} +8 z^{10}+3 a^3 z^9+9 a z^9+16 z^9 a^{-1} +10 z^9 a^{-3} +a^4 z^8-7 a^2 z^8+5 z^8 a^{-2} +12 z^8 a^{-4} -15 z^8-14 a^3 z^7-49 a z^7-59 z^7 a^{-1} -13 z^7 a^{-3} +11 z^7 a^{-5} -5 a^4 z^6-10 a^2 z^6-45 z^6 a^{-2} -16 z^6 a^{-4} +8 z^6 a^{-6} -26 z^6+22 a^3 z^5+67 a z^5+54 z^5 a^{-1} -7 z^5 a^{-3} -12 z^5 a^{-5} +4 z^5 a^{-7} +9 a^4 z^4+34 a^2 z^4+47 z^4 a^{-2} +2 z^4 a^{-4} -7 z^4 a^{-6} +z^4 a^{-8} +62 z^4-14 a^3 z^3-31 a z^3-13 z^3 a^{-1} +9 z^3 a^{-3} +3 z^3 a^{-5} -2 z^3 a^{-7} -7 a^4 z^2-25 a^2 z^2-18 z^2 a^{-2} +2 z^2 a^{-6} -34 z^2+3 a^3 z+4 a z-2 z a^{-3} -z a^{-5} +2 a^4+5 a^2+3 a^{-2} + a^{-4} +6} |
Modifying This Page
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