K12a1107
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Polynomial invariants
| Jones polynomial | |
| 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^4-8 t^3+16 t^2-20 t+21-20 t^{-1} +16 t^{-2} -8 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+8 z^6+8 z^4+4 z^2+1} |
| Determinant | 113 |
| Signature | -4 |
| 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^4 z^8+a^2 z^8-a^6 z^6+5 a^4 z^6+5 a^2 z^6-z^6-4 a^6 z^4+8 a^4 z^4+8 a^2 z^4-4 z^4-4 a^6 z^2+6 a^4 z^2+6 a^2 z^2-4 z^2-2 a^6+2 a^4+2 a^2-1} |
| 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^3 a^{11}+3 z^4 a^{10}+6 z^5 a^9-4 z^3 a^9+z a^9+9 z^6 a^8-11 z^4 a^8+z^2 a^8+12 z^7 a^7-24 z^5 a^7+8 z^3 a^7-2 z a^7+14 z^8 a^6-41 z^6 a^6+32 z^4 a^6-13 z^2 a^6+2 a^6+12 z^9 a^5-39 z^7 a^5+29 z^5 a^5-5 z^3 a^5+7 z^{10} a^4-18 z^8 a^4-11 z^6 a^4+38 z^4 a^4-15 z^2 a^4+2 a^4+2 z^{11} a^3+6 z^9 a^3-60 z^7 a^3+100 z^5 a^3-53 z^3 a^3+10 z a^3+10 z^{10} a^2-50 z^8 a^2+76 z^6 a^2-38 z^4 a^2+7 z^2 a^2-2 a^2+2 z^{11} a-5 z^9 a-15 z^7 a+54 z^5 a-47 z^3 a+11 z a+3 z^{10}-18 z^8+37 z^6-30 z^4+8 z^2-1+z^9 a^{-1} -6 z^7 a^{-1} +13 z^5 a^{-1} -12 z^3 a^{-1} +4 z a^{-1} } |
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