K13a4821
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Polynomial invariants
| Jones polynomial | Data:K13a4821/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 11 t^3-40 t^2+75 t-91+75 t^{-1} -40 t^{-2} +11 t^{-3} }[/math] |
| Conway polynomial | Data:K13a4821/Conway Polynomial |
| Determinant | 343 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +4 z^6 a^{-8} +5 z^6 a^{-10} +z^6 a^{-12} +2 z^4 a^{-6} +11 z^4 a^{-8} +16 z^4 a^{-10} -2 z^4 a^{-12} -z^4 a^{-14} +z^2 a^{-6} +7 z^2 a^{-8} +17 z^2 a^{-10} -10 z^2 a^{-12} -z^2 a^{-14} +7 a^{-10} -7 a^{-12} + a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{12} a^{-12} +3 z^{12} a^{-14} +10 z^{11} a^{-11} +18 z^{11} a^{-13} +8 z^{11} a^{-15} +16 z^{10} a^{-10} +21 z^{10} a^{-12} +15 z^{10} a^{-14} +10 z^{10} a^{-16} +15 z^9 a^{-9} -3 z^9 a^{-11} -33 z^9 a^{-13} -7 z^9 a^{-15} +8 z^9 a^{-17} +10 z^8 a^{-8} -30 z^8 a^{-10} -61 z^8 a^{-12} -45 z^8 a^{-14} -20 z^8 a^{-16} +4 z^8 a^{-18} +4 z^7 a^{-7} -27 z^7 a^{-9} -18 z^7 a^{-11} +24 z^7 a^{-13} -10 z^7 a^{-15} -20 z^7 a^{-17} +z^7 a^{-19} +z^6 a^{-6} -19 z^6 a^{-8} +36 z^6 a^{-10} +77 z^6 a^{-12} +41 z^6 a^{-14} +9 z^6 a^{-16} -11 z^6 a^{-18} -6 z^5 a^{-7} +19 z^5 a^{-9} +22 z^5 a^{-11} -13 z^5 a^{-13} +8 z^5 a^{-15} +15 z^5 a^{-17} -3 z^5 a^{-19} -2 z^4 a^{-6} +16 z^4 a^{-8} -41 z^4 a^{-10} -68 z^4 a^{-12} -19 z^4 a^{-14} -z^4 a^{-16} +9 z^4 a^{-18} +2 z^3 a^{-7} -6 z^3 a^{-9} -14 z^3 a^{-11} +3 z^3 a^{-13} +z^3 a^{-15} -5 z^3 a^{-17} +3 z^3 a^{-19} +z^2 a^{-6} -7 z^2 a^{-8} +28 z^2 a^{-10} +37 z^2 a^{-12} +4 z^2 a^{-14} +z^2 a^{-16} -2 z^2 a^{-18} +5 z a^{-11} -2 z a^{-15} +2 z a^{-17} -z a^{-19} -7 a^{-10} -7 a^{-12} - a^{-14} }[/math] |
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