This PDF file includes:

• fig. S1. Diffraction patterns for left- and right-handed circularly polarized HHG for the reconstructions presented in Figs. 2 and 3.
  
• fig. S2. Azimuthally averaged PRTF for the data presented in Figs. 2 and 3.
  
• fig. S3. Amplitude and phase maps to complement the phase images in Fig. 2.
  
• fig. S4. The reconstructed wave exiting the reference holes, partly presented in Fig. 2F.
  
• References (54, 55)

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