This PDF file includes:

• Supplementary Text
  
• fig. S1. Trajectories of Weyl nodes after a pair creation at k₀ for representative cases.
  
• fig. S2. Phonon dispersion of HfS.
  
• table S1. Patterns of gap-closing points after parametric gap closing for triclinic and monoclinic space groups.
  
• table S2. Patterns of gap-closing points after parametric gap closing for orthorhombic space groups.
  
• table S3. Patterns of gap-closing points after parametric gap closing for tetragonal space groups.
  
• table S4. Patterns of gap-closing points after parametric gap closing for trigonal and hexagonal space groups.
  
• table S5. Patterns of gap-closing points after parametric gap closing for cubic space groups.

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