Kerr Modes: Phase fixed gravitational QNMs and TTMs

These HDF5 files contain data for gravitational modes of the Kerr geometry. Each file contains the complex mode frequency, angular separation constant, and spheroidal expansion coefficients along a sequences of solutions parameterized by the dimensionless angular momentum of the Kerr black hole. For each mode along each sequence, the spheroidal expansion coefficients have been phase fixed using the SL-C phase choice to guarantee that the phase smoothly connects to the spherical limit along each sequence. The spin-weight -2 Quasinormal Modes are contained in the files named KerrQNM_nn.h5, where nn is the 2-digit overtone number. Each file for 0<=nn<=15 contains all the modes for 2<=l<=16, while the each file for 16<=nn<=32 contains all the modes for 2<=l<=4. The QNM data was constructed using the methods outlined in Cook & Zalutskiy, Phys. Rev. D 90 (2014) pp. 124021 (DOI: https://doi.org/10.1103/PhysRevD.90.124021). The spin-weight -2 Left Total-Transmission Modes are contained in the files named KerrTTML_nn.h5, and the spin-weight +2 Right Total-Transmission Modes are contained in the files named KerrTTMR_nn.h5. The 2-digit overtone number nn is used to designate one of three known TTM families as described in Cook & Lu, Phys. Rev. D 107 (2023) pp. 044043 (DOI: https://doi.org/10.1103/PhysRevD.107.044043). Each file contains all the modes for 2<=l<=8. All of the data have been constructed using the publicly available KerrModes Mathematica paclets. The publicly available HDF5KerrModes Mathematcia paclet can be used to read the data in all of these files, create plots of the mode frequencies and separation constants, and plots of the spin-weighted spheroidal function associated with the modes. Note that the data contained in each column of this version of the data are not the same as in previous versions!