K13a4328
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Polynomial invariants
| Jones polynomial | Data:K13a4328/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+10 t^3-20 t^2+29 t-33+29 t^{-1} -20 t^{-2} +10 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a4328/Conway Polynomial |
| Determinant | 155 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -5 z^6 a^{-6} -4 z^6 a^{-8} +2 z^6 a^{-10} +5 z^4 a^{-4} -8 z^4 a^{-6} -4 z^4 a^{-8} +8 z^4 a^{-10} -z^4 a^{-12} +7 z^2 a^{-4} -5 z^2 a^{-6} -z^2 a^{-8} +9 z^2 a^{-10} -3 z^2 a^{-12} +2 a^{-4} - a^{-6} - a^{-8} +3 a^{-10} -2 a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-8} +z^{12} a^{-10} +2 z^{11} a^{-7} +5 z^{11} a^{-9} +3 z^{11} a^{-11} +2 z^{10} a^{-6} -z^{10} a^{-8} +3 z^{10} a^{-10} +6 z^{10} a^{-12} +2 z^9 a^{-5} -7 z^9 a^{-7} -20 z^9 a^{-9} -3 z^9 a^{-11} +8 z^9 a^{-13} +z^8 a^{-4} -6 z^8 a^{-6} -z^8 a^{-8} -18 z^8 a^{-10} -16 z^8 a^{-12} +8 z^8 a^{-14} -10 z^7 a^{-5} +11 z^7 a^{-7} +40 z^7 a^{-9} -9 z^7 a^{-11} -22 z^7 a^{-13} +6 z^7 a^{-15} -6 z^6 a^{-4} -2 z^6 a^{-6} -4 z^6 a^{-8} +37 z^6 a^{-10} +22 z^6 a^{-12} -20 z^6 a^{-14} +3 z^6 a^{-16} +15 z^5 a^{-5} -20 z^5 a^{-7} -50 z^5 a^{-9} +28 z^5 a^{-11} +29 z^5 a^{-13} -13 z^5 a^{-15} +z^5 a^{-17} +12 z^4 a^{-4} +15 z^4 a^{-6} -41 z^4 a^{-10} -12 z^4 a^{-12} +21 z^4 a^{-14} -5 z^4 a^{-16} -6 z^3 a^{-5} +18 z^3 a^{-7} +24 z^3 a^{-9} -24 z^3 a^{-11} -13 z^3 a^{-13} +9 z^3 a^{-15} -2 z^3 a^{-17} -9 z^2 a^{-4} -9 z^2 a^{-6} +5 z^2 a^{-8} +17 z^2 a^{-10} +6 z^2 a^{-12} -6 z^2 a^{-14} -z a^{-5} -3 z a^{-7} -3 z a^{-9} +4 z a^{-11} +3 z a^{-13} -2 z a^{-15} +2 a^{-4} + a^{-6} - a^{-8} -3 a^{-10} -2 a^{-12} }[/math] |
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