K13n2144
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Polynomial invariants
| Jones polynomial | Data:K13n2144/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-4 t^4+8 t^3-6 t^2-2 t+7-2 t^{-1} -6 t^{-2} +8 t^{-3} -4 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n2144/Conway Polynomial |
| Determinant | 27 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-6} -z^8 a^{-4} +8 z^8 a^{-6} -z^8 a^{-8} -6 z^6 a^{-4} +24 z^6 a^{-6} -7 z^6 a^{-8} -11 z^4 a^{-4} +37 z^4 a^{-6} -15 z^4 a^{-8} +z^4 a^{-10} -8 z^2 a^{-4} +29 z^2 a^{-6} -15 z^2 a^{-8} +z^2 a^{-10} -2 a^{-4} +9 a^{-6} -7 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +3 z^{10} a^{-4} +8 z^{10} a^{-6} +5 z^{10} a^{-8} +z^9 a^{-3} -8 z^9 a^{-5} -6 z^9 a^{-7} +3 z^9 a^{-9} -19 z^8 a^{-4} -52 z^8 a^{-6} -33 z^8 a^{-8} -6 z^7 a^{-3} -5 z^7 a^{-5} -21 z^7 a^{-7} -21 z^7 a^{-9} +z^7 a^{-11} +39 z^6 a^{-4} +105 z^6 a^{-6} +62 z^6 a^{-8} -2 z^6 a^{-10} +2 z^6 a^{-12} +12 z^5 a^{-3} +41 z^5 a^{-5} +70 z^5 a^{-7} +35 z^5 a^{-9} -5 z^5 a^{-11} +z^5 a^{-13} -33 z^4 a^{-4} -88 z^4 a^{-6} -50 z^4 a^{-8} -2 z^4 a^{-10} -7 z^4 a^{-12} -10 z^3 a^{-3} -40 z^3 a^{-5} -57 z^3 a^{-7} -23 z^3 a^{-9} +z^3 a^{-11} -3 z^3 a^{-13} +12 z^2 a^{-4} +38 z^2 a^{-6} +26 z^2 a^{-8} +2 z^2 a^{-10} +2 z^2 a^{-12} +3 z a^{-3} +10 z a^{-5} +16 z a^{-7} +8 z a^{-9} +z a^{-13} -2 a^{-4} -9 a^{-6} -7 a^{-8} - a^{-10} }[/math] |
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