K13n3569
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Polynomial invariants
| Jones polynomial | Data:K13n3569/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 6 t^3-20 t^2+37 t-45+37 t^{-1} -20 t^{-2} +6 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3569/Conway Polynomial |
| Determinant | 171 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +3 z^6 a^{-8} +2 z^6 a^{-10} +3 z^4 a^{-6} +10 z^4 a^{-8} +5 z^4 a^{-10} -2 z^4 a^{-12} +3 z^2 a^{-6} +9 z^2 a^{-8} +3 z^2 a^{-10} -4 z^2 a^{-12} + a^{-6} + a^{-8} + a^{-10} -2 a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-11} +z^{11} a^{-13} +4 z^{10} a^{-10} +7 z^{10} a^{-12} +3 z^{10} a^{-14} +6 z^9 a^{-9} +12 z^9 a^{-11} +9 z^9 a^{-13} +3 z^9 a^{-15} +6 z^8 a^{-8} +3 z^8 a^{-10} -3 z^8 a^{-12} +z^8 a^{-14} +z^8 a^{-16} +3 z^7 a^{-7} -5 z^7 a^{-9} -22 z^7 a^{-11} -15 z^7 a^{-13} -z^7 a^{-15} +z^6 a^{-6} -13 z^6 a^{-8} -12 z^6 a^{-10} -5 z^6 a^{-12} -3 z^6 a^{-14} +4 z^6 a^{-16} -6 z^5 a^{-7} -8 z^5 a^{-9} +10 z^5 a^{-11} +10 z^5 a^{-13} +z^5 a^{-15} +3 z^5 a^{-17} -3 z^4 a^{-6} +12 z^4 a^{-8} +z^4 a^{-10} -4 z^4 a^{-12} +2 z^4 a^{-14} -8 z^4 a^{-16} +3 z^3 a^{-7} +9 z^3 a^{-9} -2 z^3 a^{-11} -6 z^3 a^{-13} -4 z^3 a^{-15} -6 z^3 a^{-17} +3 z^2 a^{-6} -7 z^2 a^{-8} +4 z^2 a^{-10} +8 z^2 a^{-12} -3 z^2 a^{-14} +3 z^2 a^{-16} -2 z a^{-9} +2 z a^{-11} +2 z a^{-13} +z a^{-15} +3 z a^{-17} - a^{-6} + a^{-8} - a^{-10} -2 a^{-12} }[/math] |
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