K12a4
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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+35-33 q^{-1} +27 q^{-2} -18 q^{-3} +10 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^4-7 t^3+23 t^2-48 t+63-48 t^{-1} +23 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+z^4-3 z^2+1} |
| Determinant | 221 |
| 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} +5 z^6+a^4 z^4-7 a^2 z^4-7 z^4 a^{-2} +z^4 a^{-4} +13 z^4+2 a^4 z^2-11 a^2 z^2-11 z^2 a^{-2} +2 z^2 a^{-4} +15 z^2+2 a^4-5 a^2-5 a^{-2} +2 a^{-4} +7} |
| 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} +5 a^2 z^{10}+5 z^{10} a^{-2} +10 z^{10}+9 a^3 z^9+24 a z^9+24 z^9 a^{-1} +9 z^9 a^{-3} +8 a^4 z^8+14 a^2 z^8+14 z^8 a^{-2} +8 z^8 a^{-4} +12 z^8+4 a^5 z^7-11 a^3 z^7-52 a z^7-52 z^7 a^{-1} -11 z^7 a^{-3} +4 z^7 a^{-5} +a^6 z^6-16 a^4 z^6-54 a^2 z^6-54 z^6 a^{-2} -16 z^6 a^{-4} +z^6 a^{-6} -74 z^6-8 a^5 z^5-a^3 z^5+34 a z^5+34 z^5 a^{-1} -z^5 a^{-3} -8 z^5 a^{-5} -2 a^6 z^4+13 a^4 z^4+58 a^2 z^4+58 z^4 a^{-2} +13 z^4 a^{-4} -2 z^4 a^{-6} +86 z^4+5 a^5 z^3+4 a^3 z^3-6 a z^3-6 z^3 a^{-1} +4 z^3 a^{-3} +5 z^3 a^{-5} +a^6 z^2-7 a^4 z^2-28 a^2 z^2-28 z^2 a^{-2} -7 z^2 a^{-4} +z^2 a^{-6} -40 z^2-a^5 z-a^3 z-a z-z a^{-1} -z a^{-3} -z a^{-5} +2 a^4+5 a^2+5 a^{-2} +2 a^{-4} +7} |
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