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  1. Abstract We study the$$\mathbb {F}_2$$ F 2 -synthetic Adams spectral sequence. We obtain new computational information about$$\mathbb {C}$$ C -motivic and classical stable homotopy groups. 
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  2. Free, publicly-accessible full text available December 1, 2025
  3. Abstract Using techniques in motivic homotopy theory, especially the theorem of Gheorghe, the second and the third author on the isomorphism between motivic Adams spectral sequence for $$C\tau $$ C τ and the algebraic Novikov spectral sequence for $$BP_{*}$$ B P ∗ , we compute the classical and motivic stable homotopy groups of spheres from dimension 0 to 90, except for some carefully enumerated uncertainties. 
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