K12a13
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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^5+5 q^4-13 q^3+23 q^2-32 q+39-40 q^{-1} +37 q^{-2} -29 q^{-3} +19 q^{-4} -10 q^{-5} +4 q^{-6} - q^{-7} } |
| 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+28 t^2-55 t+69-55 t^{-1} +28 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+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^8-3 a^2 z^6-z^6 a^{-2} +4 z^6+3 a^4 z^4-9 a^2 z^4-2 z^4 a^{-2} +8 z^4-a^6 z^2+6 a^4 z^2-10 a^2 z^2-2 z^2 a^{-2} +8 z^2-a^6+3 a^4-4 a^2- 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 2 a^3 z^{11}+2 a z^{11}+6 a^4 z^{10}+16 a^2 z^{10}+10 z^{10}+7 a^5 z^9+22 a^3 z^9+35 a z^9+20 z^9 a^{-1} +4 a^6 z^8-6 a^2 z^8+21 z^8 a^{-2} +19 z^8+a^7 z^7-17 a^5 z^7-66 a^3 z^7-83 a z^7-22 z^7 a^{-1} +13 z^7 a^{-3} -12 a^6 z^6-34 a^4 z^6-64 a^2 z^6-31 z^6 a^{-2} +5 z^6 a^{-4} -78 z^6-3 a^7 z^5+12 a^5 z^5+54 a^3 z^5+50 a z^5-3 z^5 a^{-1} -13 z^5 a^{-3} +z^5 a^{-5} +13 a^6 z^4+46 a^4 z^4+79 a^2 z^4+19 z^4 a^{-2} -2 z^4 a^{-4} +67 z^4+3 a^7 z^3-a^5 z^3-13 a^3 z^3-7 a z^3+7 z^3 a^{-1} +5 z^3 a^{-3} -6 a^6 z^2-21 a^4 z^2-32 a^2 z^2-7 z^2 a^{-2} -24 z^2-a^7 z-a^5 z-a z-2 z a^{-1} -z a^{-3} +a^6+3 a^4+4 a^2+ a^{-2} +4} |
Modifying This Page
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