§ These authors contributed equally to this research project. The Cooper pairing mechanism of heavy-fermion superconductors 1-4 , while long hypothesized as due to spin fluctuations 5-7 , has not been determined. It is the momentum space (k-space) structure of the superconducting energy gap (k) that encodes specifics of this pairing mechanism. However, because the energy scales are so low, it has not been possible to directly measure (k) for any heavy-fermion superconductor. Bogoliubov quasiparticle interference (QPI) imaging 8-10 , a proven technique for measuring the energy gaps of high-T c superconductors 11-13 , has recently been proposed 14 as a new method to measure (k) in heavy-fermion superconductors, specifically CeCoIn 5 15 . By implementing this method, we immediately detect a superconducting energy gap whose nodes are oriented along k||()/a 0 directions 16-19 . Moreover, we determine the complete k-space structure of the (k) of a heavy-fermion superconductor. For CeCoIn 5 , this novel information includes: the complex band structure and Fermi surface of the hybridized heavy bands, the fact that highest magnitude (k) opens on a high-k band so that gap nodes occur at quite unanticipated k-space locations, and that the Bogoliubov quasiparticle interference patterns are most consistent with d x 2y 2 gap symmetry. The availability of such quantitative heavy band-and gap-structure data will be critical in identifying the microscopic mechanism of heavy fermion superconductivity in this material, and perhaps in general. 29 Yuan, T., Figgins, J., and Morr, D. K. Hidden order transition in URu 2 Si 2 and the emergence of a coherent Kondo lattice. Phys. Rev. B 86, 035129 (2012) 30 Petrovic C. et al., J. Phys. Condens. Matter 13, L337 (2001) 31 McCollam, A., et al. Anomalous de Haas-van Alphen Oscillations in CeCoIn 5 . Phys. Rev. Lett. 94, 186401 (2005) 32 Aynajian, P., et al. Visualizing heavy fermions emerging in a quantum critical Kondo lattice. Nature 486, 201 (2012) 33 Koitzsch, A., et al. Electronic structure of CeCoIn 5 from angle-resolved photoemission spectroscopy. Phys. Rev. B 79, 075104 (2009) 34 Jia, X. -W., et al, Growth characterization and Fermi surface of heavy-fermion CeCoIn 5 superconductor. Chinese Phys. Lett. 28 057401 (2011)