K12a6
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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^8+4 q^7-9 q^6+17 q^5-25 q^4+30 q^3-32 q^2+30 q-24+17 q^{-1} -9 q^{-2} +4 q^{-3} - q^{-4} } |
| 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+44 t-53+44 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-z^2+1} |
| Determinant | 203 |
| 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} +2 z^6 a^{-4} +2 z^6-a^2 z^4-13 z^4 a^{-2} +7 z^4 a^{-4} -z^4 a^{-6} +7 z^4-2 a^2 z^2-17 z^2 a^{-2} +10 z^2 a^{-4} -2 z^2 a^{-6} +10 z^2-a^2-8 a^{-2} +5 a^{-4} - a^{-6} +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 z^{11} a^{-1} +z^{11} a^{-3} +9 z^{10} a^{-2} +5 z^{10} a^{-4} +4 z^{10}+6 a z^9+18 z^9 a^{-1} +22 z^9 a^{-3} +10 z^9 a^{-5} +4 a^2 z^8+8 z^8 a^{-2} +17 z^8 a^{-4} +11 z^8 a^{-6} +6 z^8+a^3 z^7-14 a z^7-48 z^7 a^{-1} -45 z^7 a^{-3} -4 z^7 a^{-5} +8 z^7 a^{-7} -13 a^2 z^6-73 z^6 a^{-2} -57 z^6 a^{-4} -13 z^6 a^{-6} +4 z^6 a^{-8} -46 z^6-3 a^3 z^5+5 a z^5+26 z^5 a^{-1} +13 z^5 a^{-3} -16 z^5 a^{-5} -10 z^5 a^{-7} +z^5 a^{-9} +15 a^2 z^4+87 z^4 a^{-2} +55 z^4 a^{-4} +6 z^4 a^{-6} -5 z^4 a^{-8} +58 z^4+3 a^3 z^3+6 a z^3+5 z^3 a^{-1} +15 z^3 a^{-3} +20 z^3 a^{-5} +6 z^3 a^{-7} -z^3 a^{-9} -7 a^2 z^2-43 z^2 a^{-2} -24 z^2 a^{-4} -z^2 a^{-6} +2 z^2 a^{-8} -29 z^2-a^3 z-3 a z-5 z a^{-1} -8 z a^{-3} -7 z a^{-5} -2 z a^{-7} +a^2+8 a^{-2} +5 a^{-4} + a^{-6} +6} |
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