This deposit contains the data shown in the figures in the journal article, 'Magnetic Pressure Dominance Stabilizes AGN Disks Against Gravitational Instability (arXiv:2508.16842).' General formatting information: Each column has a descriptive header. In filenames, b25 refers to simulations with initial beta = 1e2.5; b4 refers to simulations with initial beta = 1e4; q1 refers to simulations with initial Q = 1.0; q10 refers to simulations with initial Q = 10.0. MHD/pure MHD refers to simulations performed without self-gravity. There are 34 total files for the nine figures as follows: Fig. 1 & 2: b25_q1_stresses.txt, b25_q10_stresses.txt, vol_avg_stresses_beta_1e2_5_pure_MHD.txt, b4_q1_stresses.txt, b4_q10_stresses.txt,vol_avg_stresses_beta_1e4_pure_MHD.txt Fig. 3: b25_q1_mag_press.txt, b25_q10_mag_press.txt, b25_MHD_mag_press.txt, b4_q1_mag_press.txt, b4_q10_mag_press.txt, b4_MHD_mag_press.txt Fig. 4: hor_avg_beta_b25_q1.txt, hor_avg_beta_b25_q10.txt, hor_avg_beta_b25_MHD.txt Fig. 5: hor_avg_beta_b4_q1.txt, hor_avg_beta_b4_q10.txt, hor_avg_beta_b4_MHD.txt Fig. 6: hor_avg_rho_b25_q1.txt, hor_avg_rho_b25_q10.txt, hor_avg_rho_beta_1e2_5_MHD.txt, hor_avg_rho_b4_q1.txt, hor_avg_rho_b4_q10.txt, hor_avg_rho_beta_1e4_MHD.txt Fig. 7: density_vert_slice_* Fig. 8: Q_realized_b25_q1.txt, Q_realized_b4_q1.txt Fig. 9: Q_realized_b25_q10.txt, Q_realized_b4_q10.txt