K12a1079
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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^9-4 q^8+10 q^7-20 q^6+31 q^5-39 q^4+43 q^3-41 q^2+34 q-24+14 q^{-1} -5 q^{-2} + q^{-3} } |
| 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 -2 t^4+11 t^3-31 t^2+56 t-67+56 t^{-1} -31 t^{-2} +11 t^{-3} -2 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 -2 z^8-5 z^6-5 z^4-z^2+1} |
| Determinant | 267 |
| 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} -z^8 a^{-4} -3 z^6 a^{-2} -4 z^6 a^{-4} +z^6 a^{-6} +z^6-3 z^4 a^{-2} -7 z^4 a^{-4} +3 z^4 a^{-6} +2 z^4-2 z^2 a^{-2} -4 z^2 a^{-4} +3 z^2 a^{-6} +2 z^2-2 a^{-2} + a^{-4} +2} |
| 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 4 z^{11} a^{-3} +4 z^{11} a^{-5} +13 z^{10} a^{-2} +23 z^{10} a^{-4} +10 z^{10} a^{-6} +18 z^9 a^{-1} +25 z^9 a^{-3} +18 z^9 a^{-5} +11 z^9 a^{-7} -9 z^8 a^{-2} -39 z^8 a^{-4} -9 z^8 a^{-6} +8 z^8 a^{-8} +13 z^8+5 a z^7-35 z^7 a^{-1} -70 z^7 a^{-3} -51 z^7 a^{-5} -17 z^7 a^{-7} +4 z^7 a^{-9} +a^2 z^6-22 z^6 a^{-2} +14 z^6 a^{-4} -4 z^6 a^{-6} -14 z^6 a^{-8} +z^6 a^{-10} -24 z^6-6 a z^5+22 z^5 a^{-1} +54 z^5 a^{-3} +42 z^5 a^{-5} +8 z^5 a^{-7} -8 z^5 a^{-9} -a^2 z^4+24 z^4 a^{-2} +6 z^4 a^{-4} +8 z^4 a^{-6} +8 z^4 a^{-8} -2 z^4 a^{-10} +15 z^4+a z^3-8 z^3 a^{-1} -14 z^3 a^{-3} -9 z^3 a^{-5} +z^3 a^{-7} +5 z^3 a^{-9} -11 z^2 a^{-2} -4 z^2 a^{-4} -3 z^2 a^{-6} -2 z^2 a^{-8} +z^2 a^{-10} -7 z^2+z a^{-1} +z a^{-3} -z a^{-5} -2 z a^{-7} -z a^{-9} +2 a^{-2} + a^{-4} +2} |
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