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Dear User, The archive All_files.zip contains all datasets used in the manuscript.The data are organized systematically to reflect the different theoreticalapproaches and scaling analyses discussed in the paper.Each dataset provides the time-dependent dipole moment d(t). All_files.zip│├── 1) TDSE_normal│ ├── Z1_normal_F001.dat│ ├── Z10_normal_F010.dat│ ├── Z25_normal_F025.dat││├── 2) TDDE_normal│ ├── Rel_Z1_F_001.dat│ ├── Rel_Z10_F_010.dat│ ├── Rel_Z25_F_025.dat│ └── Rel_Z50_F_050.dat│├── 3) TDSE_effectiveZ_normal│ ├── Z10_effective_F010.dat│ ├── Z25_effective_F025.dat│ ├── Z50_effective_F050.dat││└── 4) TDDE_normal_New_scaling ├── Rel_Z10_F_Ir_scaling.dat ├── Rel_Z25_F_Ir_scaling.dat ├── Rel_Z50_F_Ir_scaling.dat Folder Descriptions 1) TDSE_normalTime-dependent Schrödinger equation (TDSE) calculations withparameters scaled according to Sec. II.B of the manuscript.This folder provides the nonrelativistic baseline forcomparison with Dirac-based approaches. 2) TDDE_normalTime-dependent Dirac equation (TDDE) calculations withparameters scaled according to Sec. II.B.These datasets include relativistic effects and serve as thereference for assessing the impact of relativity and alternative scaling prescriptions. 3) TDSE_effectiveZ_normalTime-dependent Schrödinger equation (TDSE) calculationsperformed with an artificially modified nuclear charge, as described in Sec. II.C.The pulse parameters, however, are scaled according to Sec. II.B.This folder is intended for analyzing how effective charge modificationsinfluence dipole dynamics within a nonrelativistic framework. 4) TDDE_normal_New_scalingTime-dependent Dirac equation (TDDE) calculations for varying nuclear charges,where the pulse parameters are scaled according to Sec. II.C.This folder implements the alternative scaling prescription discussedin the manuscript, enabling direct comparison with the TDDE_normal datasetsto evaluate the effects of the new scaling approach. For questions or further assistance, please do not hesitate to reach out.