K13a4852
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Polynomial invariants
| Jones polynomial | Data:K13a4852/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 6 t^3-14 t^2+17 t-17+17 t^{-1} -14 t^{-2} +6 t^{-3} }[/math] |
| Conway polynomial | Data:K13a4852/Conway Polynomial |
| Determinant | 91 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +2 z^6 a^{-8} +2 z^6 a^{-10} +z^6 a^{-12} +4 z^4 a^{-6} +8 z^4 a^{-8} +8 z^4 a^{-10} +3 z^4 a^{-12} -z^4 a^{-14} +3 z^2 a^{-6} +7 z^2 a^{-8} +8 z^2 a^{-10} -3 z^2 a^{-14} + a^{-8} +3 a^{-10} -2 a^{-12} - a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-12} +z^{12} a^{-14} +2 z^{11} a^{-11} +4 z^{11} a^{-13} +2 z^{11} a^{-15} +3 z^{10} a^{-10} -3 z^{10} a^{-12} -4 z^{10} a^{-14} +2 z^{10} a^{-16} +3 z^9 a^{-9} -9 z^9 a^{-11} -25 z^9 a^{-13} -11 z^9 a^{-15} +2 z^9 a^{-17} +3 z^8 a^{-8} -15 z^8 a^{-10} -4 z^8 a^{-12} +4 z^8 a^{-14} -8 z^8 a^{-16} +2 z^8 a^{-18} +2 z^7 a^{-7} -12 z^7 a^{-9} +13 z^7 a^{-11} +61 z^7 a^{-13} +26 z^7 a^{-15} -7 z^7 a^{-17} +z^7 a^{-19} +z^6 a^{-6} -12 z^6 a^{-8} +30 z^6 a^{-10} +29 z^6 a^{-12} +5 z^6 a^{-14} +10 z^6 a^{-16} -9 z^6 a^{-18} -7 z^5 a^{-7} +15 z^5 a^{-9} -z^5 a^{-11} -63 z^5 a^{-13} -32 z^5 a^{-15} +3 z^5 a^{-17} -5 z^5 a^{-19} -4 z^4 a^{-6} +14 z^4 a^{-8} -29 z^4 a^{-10} -36 z^4 a^{-12} -7 z^4 a^{-14} -8 z^4 a^{-16} +10 z^4 a^{-18} +4 z^3 a^{-7} -7 z^3 a^{-9} -3 z^3 a^{-11} +28 z^3 a^{-13} +16 z^3 a^{-15} +3 z^3 a^{-17} +7 z^3 a^{-19} +3 z^2 a^{-6} -8 z^2 a^{-8} +16 z^2 a^{-10} +19 z^2 a^{-12} -3 z^2 a^{-14} +3 z^2 a^{-16} -2 z^2 a^{-18} +2 z a^{-11} -5 z a^{-13} -4 z a^{-15} -3 z a^{-19} + a^{-8} -3 a^{-10} -2 a^{-12} + a^{-14} }[/math] |
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