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Using techniques in motivic homotopy theory, especially the theorem ofGheorghe, the second and the third author on the isomorphism between motivicAdams spectral sequence for $C{\tau}$ and the algebraic Novikov spectralsequence for $BP_*$, we compute the classical and motivic stable homotopygroups of spheres from dimension 0 to 90, except for some carefully enumerateduncertainties.

Stable homotopy groups of spheres: From dimension 0 to 90