K12a1004
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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^{15}-4 q^{14}+11 q^{13}-22 q^{12}+31 q^{11}-39 q^{10}+42 q^9-39 q^8+32 q^7-21 q^6+12 q^5-4 q^4+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 8 t^3-30 t^2+57 t-69+57 t^{-1} -30 t^{-2} +8 t^{-3} } |
| 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 8 z^6+18 z^4+9 z^2+1} |
| Determinant | 259 |
| Signature | 6 |
| 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^6 a^{-6} +4 z^6 a^{-8} +3 z^6 a^{-10} +2 z^4 a^{-6} +13 z^4 a^{-8} +7 z^4 a^{-10} -4 z^4 a^{-12} +z^2 a^{-6} +13 z^2 a^{-8} +3 z^2 a^{-10} -9 z^2 a^{-12} +z^2 a^{-14} +4 a^{-8} -5 a^{-12} +2 a^{-14} } |
| 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 z^{11} a^{-11} +3 z^{11} a^{-13} +10 z^{10} a^{-10} +20 z^{10} a^{-12} +10 z^{10} a^{-14} +13 z^9 a^{-9} +26 z^9 a^{-11} +26 z^9 a^{-13} +13 z^9 a^{-15} +10 z^8 a^{-8} -3 z^8 a^{-10} -26 z^8 a^{-12} -4 z^8 a^{-14} +9 z^8 a^{-16} +4 z^7 a^{-7} -21 z^7 a^{-9} -71 z^7 a^{-11} -74 z^7 a^{-13} -24 z^7 a^{-15} +4 z^7 a^{-17} +z^6 a^{-6} -21 z^6 a^{-8} -21 z^6 a^{-10} -z^6 a^{-12} -19 z^6 a^{-14} -16 z^6 a^{-16} +z^6 a^{-18} -6 z^5 a^{-7} +9 z^5 a^{-9} +68 z^5 a^{-11} +81 z^5 a^{-13} +21 z^5 a^{-15} -7 z^5 a^{-17} -2 z^4 a^{-6} +22 z^4 a^{-8} +19 z^4 a^{-10} +z^4 a^{-12} +19 z^4 a^{-14} +11 z^4 a^{-16} -2 z^4 a^{-18} +2 z^3 a^{-7} +2 z^3 a^{-9} -36 z^3 a^{-11} -53 z^3 a^{-13} -13 z^3 a^{-15} +4 z^3 a^{-17} +z^2 a^{-6} -15 z^2 a^{-8} -5 z^2 a^{-10} +11 z^2 a^{-12} -4 z^2 a^{-14} -3 z^2 a^{-16} +z^2 a^{-18} -2 z a^{-9} +10 z a^{-11} +16 z a^{-13} +3 z a^{-15} -z a^{-17} +4 a^{-8} -5 a^{-12} -2 a^{-14} } |
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