K13n300
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Polynomial invariants
| Jones polynomial | Data:K13n300/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-t^4-2 t^3+7 t^2-10 t+11-10 t^{-1} +7 t^{-2} -2 t^{-3} - t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n300/Conway Polynomial |
| Determinant | 45 |
| Signature | 8 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-10} +10 z^8 a^{-10} -z^8 a^{-12} +36 z^6 a^{-10} -11 z^6 a^{-12} +59 z^4 a^{-10} -37 z^4 a^{-12} +3 z^4 a^{-14} +45 z^2 a^{-10} -47 z^2 a^{-12} +11 z^2 a^{-14} +13 a^{-10} -20 a^{-12} +9 a^{-14} - a^{-16} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-10} +z^{10} a^{-12} +z^9 a^{-11} +z^9 a^{-13} -10 z^8 a^{-10} -12 z^8 a^{-12} +2 z^8 a^{-16} -11 z^7 a^{-11} -11 z^7 a^{-13} +5 z^7 a^{-15} +5 z^7 a^{-17} +36 z^6 a^{-10} +48 z^6 a^{-12} +8 z^6 a^{-14} +z^6 a^{-16} +5 z^6 a^{-18} +37 z^5 a^{-11} +45 z^5 a^{-13} -4 z^5 a^{-15} -9 z^5 a^{-17} +3 z^5 a^{-19} -59 z^4 a^{-10} -81 z^4 a^{-12} -17 z^4 a^{-14} -3 z^4 a^{-16} -7 z^4 a^{-18} +z^4 a^{-20} -47 z^3 a^{-11} -64 z^3 a^{-13} -5 z^3 a^{-15} +9 z^3 a^{-17} -3 z^3 a^{-19} +45 z^2 a^{-10} +63 z^2 a^{-12} +16 z^2 a^{-14} +2 z^2 a^{-16} +3 z^2 a^{-18} -z^2 a^{-20} +20 z a^{-11} +28 z a^{-13} +5 z a^{-15} -3 z a^{-17} -13 a^{-10} -20 a^{-12} -9 a^{-14} - a^{-16} }[/math] |
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