K12a1054
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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^4+4 q^3-10 q^2+19 q-27+34 q^{-1} -36 q^{-2} +34 q^{-3} -28 q^{-4} +19 q^{-5} -10 q^{-6} +4 q^{-7} - q^{-8} } |
| 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+9 t^3-28 t^2+48 t-55+48 t^{-1} -28 t^{-2} +9 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+6 z^4+z^2+1} |
| Determinant | 227 |
| 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 -a^2 z^8+2 a^4 z^6-3 a^2 z^6+2 z^6-a^6 z^4+5 a^4 z^4-2 a^2 z^4-z^4 a^{-2} +5 z^4-2 a^6 z^2+2 a^4 z^2+a^2 z^2-2 z^2 a^{-2} +2 z^2-a^4+2 a^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 3 a^3 z^{11}+3 a z^{11}+10 a^4 z^{10}+18 a^2 z^{10}+8 z^{10}+15 a^5 z^9+21 a^3 z^9+14 a z^9+8 z^9 a^{-1} +14 a^6 z^8-3 a^4 z^8-37 a^2 z^8+4 z^8 a^{-2} -16 z^8+9 a^7 z^7-22 a^5 z^7-65 a^3 z^7-59 a z^7-24 z^7 a^{-1} +z^7 a^{-3} +4 a^8 z^6-21 a^6 z^6-22 a^4 z^6+17 a^2 z^6-12 z^6 a^{-2} +2 z^6+a^9 z^5-11 a^7 z^5+12 a^5 z^5+61 a^3 z^5+64 a z^5+24 z^5 a^{-1} -3 z^5 a^{-3} -4 a^8 z^4+15 a^6 z^4+20 a^4 z^4-4 a^2 z^4+11 z^4 a^{-2} +6 z^4-a^9 z^3+6 a^7 z^3-2 a^5 z^3-26 a^3 z^3-30 a z^3-11 z^3 a^{-1} +2 z^3 a^{-3} +a^8 z^2-4 a^6 z^2-3 a^4 z^2+5 a^2 z^2-4 z^2 a^{-2} -z^2-a^7 z+4 a^3 z+5 a z+2 z a^{-1} -a^4-2 a^2} |
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