K12a108
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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+9 q^7-18 q^6+27 q^5-34 q^4+38 q^3-35 q^2+30 q-21+12 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 -t^4+8 t^3-26 t^2+51 t-63+51 t^{-1} -26 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+2 z^4+3 z^2+1} |
| Determinant | 235 |
| 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} -4 z^6 a^{-2} +3 z^6 a^{-4} +z^6-7 z^4 a^{-2} +10 z^4 a^{-4} -3 z^4 a^{-6} +2 z^4-5 z^2 a^{-2} +13 z^2 a^{-4} -7 z^2 a^{-6} +z^2 a^{-8} +z^2- a^{-2} +6 a^{-4} -5 a^{-6} + a^{-8} } |
| 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 z^{11} a^{-3} +2 z^{11} a^{-5} +8 z^{10} a^{-2} +14 z^{10} a^{-4} +6 z^{10} a^{-6} +13 z^9 a^{-1} +24 z^9 a^{-3} +19 z^9 a^{-5} +8 z^9 a^{-7} +6 z^8 a^{-2} -6 z^8 a^{-4} +6 z^8 a^{-6} +7 z^8 a^{-8} +11 z^8+5 a z^7-20 z^7 a^{-1} -55 z^7 a^{-3} -40 z^7 a^{-5} -6 z^7 a^{-7} +4 z^7 a^{-9} +a^2 z^6-42 z^6 a^{-2} -39 z^6 a^{-4} -32 z^6 a^{-6} -12 z^6 a^{-8} +z^6 a^{-10} -21 z^6-8 a z^5+3 z^5 a^{-1} +31 z^5 a^{-3} +16 z^5 a^{-5} -13 z^5 a^{-7} -9 z^5 a^{-9} -a^2 z^4+38 z^4 a^{-2} +52 z^4 a^{-4} +35 z^4 a^{-6} +6 z^4 a^{-8} -2 z^4 a^{-10} +12 z^4+3 a z^3+3 z^3 a^{-1} +2 z^3 a^{-3} +15 z^3 a^{-5} +20 z^3 a^{-7} +7 z^3 a^{-9} -13 z^2 a^{-2} -25 z^2 a^{-4} -18 z^2 a^{-6} -2 z^2 a^{-8} +z^2 a^{-10} -3 z^2-z a^{-1} -4 z a^{-3} -10 z a^{-5} -9 z a^{-7} -2 z a^{-9} + a^{-2} +6 a^{-4} +5 a^{-6} + a^{-8} } |
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