K13a4570
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Polynomial invariants
| Jones polynomial | Data:K13a4570/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-10 t^2+16 t-19+16 t^{-1} -10 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K13a4570/Conway Polynomial |
| Determinant | 79 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +z^6 a^{-8} +z^6 a^{-10} +z^6 a^{-12} +5 z^4 a^{-6} +3 z^4 a^{-8} +3 z^4 a^{-10} +4 z^4 a^{-12} -z^4 a^{-14} +7 z^2 a^{-6} +z^2 a^{-8} +2 z^2 a^{-10} +5 z^2 a^{-12} -3 z^2 a^{-14} +2 a^{-6} - a^{-8} +2 a^{-12} -2 a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-12} +z^{12} a^{-14} +z^{11} a^{-11} +3 z^{11} a^{-13} +2 z^{11} a^{-15} +z^{10} a^{-10} -7 z^{10} a^{-12} -5 z^{10} a^{-14} +3 z^{10} a^{-16} +z^9 a^{-9} -5 z^9 a^{-11} -19 z^9 a^{-13} -10 z^9 a^{-15} +3 z^9 a^{-17} +z^8 a^{-8} -4 z^8 a^{-10} +24 z^8 a^{-12} +11 z^8 a^{-14} -16 z^8 a^{-16} +2 z^8 a^{-18} +z^7 a^{-7} -3 z^7 a^{-9} +12 z^7 a^{-11} +49 z^7 a^{-13} +17 z^7 a^{-15} -15 z^7 a^{-17} +z^7 a^{-19} +z^6 a^{-6} -2 z^6 a^{-8} +9 z^6 a^{-10} -43 z^6 a^{-12} -16 z^6 a^{-14} +30 z^6 a^{-16} -9 z^6 a^{-18} -3 z^5 a^{-7} +6 z^5 a^{-9} -11 z^5 a^{-11} -59 z^5 a^{-13} -11 z^5 a^{-15} +23 z^5 a^{-17} -5 z^5 a^{-19} -5 z^4 a^{-6} -z^4 a^{-8} -7 z^4 a^{-10} +43 z^4 a^{-12} +18 z^4 a^{-14} -27 z^4 a^{-16} +9 z^4 a^{-18} +z^3 a^{-7} -8 z^3 a^{-9} +5 z^3 a^{-11} +35 z^3 a^{-13} -z^3 a^{-15} -16 z^3 a^{-17} +6 z^3 a^{-19} +7 z^2 a^{-6} +2 z^2 a^{-8} -z^2 a^{-10} -15 z^2 a^{-12} -11 z^2 a^{-14} +7 z^2 a^{-16} -z^2 a^{-18} +z a^{-7} +z a^{-9} -5 z a^{-13} +4 z a^{-17} -z a^{-19} -2 a^{-6} - a^{-8} +2 a^{-12} +2 a^{-14} }[/math] |
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