Genus 2 curve data - 1920.a.368640.1

Formats: - HTML - YAML - JSON - 2026-05-16T11:12:15.912193

• g2c_curves •

  Column	Type
  Lhash	text
  abs_disc	bigint
  analytic_rank	smallint
  analytic_rank_proved	boolean
  analytic_sha	smallint
  aut_grp_id	text
  aut_grp_label	text
  aut_grp_tex	text
  bad_lfactors	text
  bad_primes	integer[]
  class	text
  cond	bigint
  disc_sign	smallint
  end_alg	text
  eqn	text
  g2_inv	text
  geom_aut_grp_id	text
  geom_aut_grp_label	text
  geom_aut_grp_tex	text
  geom_end_alg	text
  globally_solvable	smallint
  has_square_sha	boolean
  hasse_weil_proved	boolean
  igusa_clebsch_inv	text
  igusa_inv	text
  is_gl2_type	boolean
  is_simple_base	boolean
  is_simple_geom	boolean
  label	text
  leading_coeff	numeric
  locally_solvable	boolean
  modell_images	text[]
  mw_rank	smallint
  mw_rank_proved	boolean
  non_maximal_primes	integer[]
  non_solvable_places	jsonb
  num_rat_pts	smallint
  num_rat_wpts	smallint
  real_geom_end_alg	text
  real_period	numeric
  regulator	numeric
  root_number	smallint
  st_group	text
  st_label	text
  st_label_components	integer[]
  tamagawa_product	smallint
  torsion_order	smallint
  torsion_subgroup	text
  two_selmer_rank	smallint
  two_torsion_field	jsonb

  
  {'Lhash': '2305807258073272013', 'abs_disc': 368640, 'analytic_rank': 0, 'analytic_rank_proved': True, 'analytic_sha': 2, 'aut_grp_id': '[4,2]', 'aut_grp_label': '4.2', 'aut_grp_tex': 'C_2^2', 'bad_lfactors': '[[2,[1]],[3,[1,-1,3,-3]],[5,[1,1,3,-5]]]', 'bad_primes': [2, 3, 5], 'class': '1920.a', 'cond': 1920, 'disc_sign': -1, 'end_alg': 'Q x Q', 'eqn': '[[5,6,17,12,17,6,5],[1,1,1,1]]', 'g2_inv': "['24952719973569408/5','1038436236963696/5','11510985848256']", 'geom_aut_grp_id': '[4,2]', 'geom_aut_grp_label': '4.2', 'geom_aut_grp_tex': 'C_2^2', 'geom_end_alg': 'Q x Q', 'globally_solvable': 0, 'has_square_sha': False, 'hasse_weil_proved': True, 'igusa_clebsch_inv': "['8952','6072','17987052','1440']", 'igusa_inv': "['17904','13340192','13237770240','14762078945024','368640']", 'is_gl2_type': True, 'is_simple_base': False, 'is_simple_geom': False, 'label': '1920.a.368640.1', 'leading_coeff': {'__RealLiteral__': 0, 'data': '0.6255872134400078141012615726564760196724094614118536348', 'prec': 190}, 'locally_solvable': False, 'modell_images': ['2.90.6', '3.90.1'], 'mw_rank': 0, 'mw_rank_proved': True, 'non_solvable_places': [2], 'num_rat_pts': 0, 'num_rat_wpts': 0, 'real_geom_end_alg': 'R x R', 'real_period': {'__RealLiteral__': 0, 'data': '5.0046977075200625128100925812', 'prec': 100}, 'regulator': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'root_number': 1, 'st_group': 'SU(2)xSU(2)', 'st_label': '1.4.B.1.1a', 'st_label_components': [1, 4, 1, 1, 1, 0], 'tamagawa_product': 4, 'torsion_order': 8, 'torsion_subgroup': '[2,4]', 'two_selmer_rank': 3, 'two_torsion_field': ['8.0.40960000.1', [1, 0, 0, 0, 7, 0, 0, 0, 1], [8, 3], True]}
• g2c_endomorphisms •

  Column	Type
  factorsQQ_base	jsonb
  factorsQQ_geom	jsonb
  factorsRR_base	jsonb
  factorsRR_geom	jsonb
  fod_coeffs	jsonb
  fod_label	text
  is_simple_base	boolean
  is_simple_geom	boolean
  label	text
  lattice	jsonb
  ring_base	jsonb
  ring_geom	jsonb
  spl_facs_coeffs	jsonb
  spl_facs_condnorms	jsonb
  spl_facs_labels	jsonb
  spl_fod_coeffs	jsonb
  spl_fod_gen	jsonb
  spl_fod_label	text
  st_group_base	text
  st_group_geom	text

  
  {'factorsQQ_base': [['1.1.1.1', [0, 1], -1], ['1.1.1.1', [0, 1], -1]], 'factorsQQ_geom': [['1.1.1.1', [0, 1], -1], ['1.1.1.1', [0, 1], -1]], 'factorsRR_base': ['RR', 'RR'], 'factorsRR_geom': ['RR', 'RR'], 'fod_coeffs': [0, 1], 'fod_label': '1.1.1.1', 'is_simple_base': False, 'is_simple_geom': False, 'label': '1920.a.368640.1', 'lattice': [[['1.1.1.1', [0, 1], [0]], [['1.1.1.1', [0, 1], -1], ['1.1.1.1', [0, 1], -1]], ['RR', 'RR'], [2, -1], 'G_{3,3}']], 'ring_base': [2, -1], 'ring_geom': [2, -1], 'spl_facs_coeffs': [[[1168], [-38080]], [[336], [5184]]], 'spl_facs_condnorms': [48, 40], 'spl_facs_labels': ['48.a3', '40.a2'], 'spl_fod_coeffs': [0, 1], 'spl_fod_gen': [0], 'spl_fod_label': '1.1.1.1', 'st_group_base': 'G_{3,3}', 'st_group_geom': 'G_{3,3}'}
• g2c_ratpts •

  Column	Type
  label	text
  mw_gens	jsonb
  mw_gens_v	boolean
  mw_heights	numeric[]
  mw_invs	smallint[]
  num_rat_pts	smallint
  rat_pts	jsonb
  rat_pts_v	boolean

  
  {'label': '1920.a.368640.1', 'mw_gens': [[[[1, 1], [0, 1], [1, 1]], [[0, 1], [0, 1], [0, 1], [0, 1]]], [[[1, 1], [1, 1], [1, 1]], [[0, 1], [1, 1], [0, 1], [0, 1]]]], 'mw_gens_v': True, 'mw_heights': [], 'mw_invs': [2, 4], 'num_rat_pts': 0, 'rat_pts': [], 'rat_pts_v': True}
• g2c_galrep •

  Column	Type
  conductor	integer
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 623
    {'conductor': 1920, 'lmfdb_label': '1920.a.368640.1', 'modell_image': '2.90.6', 'prime': 2}
  • id: 624
    {'conductor': 1920, 'lmfdb_label': '1920.a.368640.1', 'modell_image': '3.90.1', 'prime': 3}
• g2c_tamagawa •

  Column	Type
  cluster_label	text
  label	text
  local_root_number	numeric
  p	bigint
  tamagawa_number	smallint

  
  
  • id: 34539
    {'label': '1920.a.368640.1', 'local_root_number': 1, 'p': 2, 'tamagawa_number': 2}
  • id: 34540
    {'cluster_label': 'c1c3c2_1_1_-1', 'label': '1920.a.368640.1', 'local_root_number': -1, 'p': 3, 'tamagawa_number': 2}
  • id: 34541
    {'cluster_label': 'c4c2_1~2_0', 'label': '1920.a.368640.1', 'local_root_number': -1, 'p': 5, 'tamagawa_number': 1}
• g2c_plots •

  Column	Type
  label	text
  plot	text

  
  {'label': '1920.a.368640.1', 'plot': 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alDuALgGfhVKpdFrffDNnzjzrb9ZGHKOwcOHCszpWO3097TSXsz2vjZpLuxyjkcdph%2B/ZRh2nXY5RaIdze679%2BxQ6Ozud2ybMpRE/a1PmRSBTaP369W1xjEZpp6%2BnnebSCO3y9bTTv08jtNPX0y7HaJR2%2BnraaS6N0E5fTzvNhbPjEnCCinsXU773oRmc1%2BZxbpvHuW2eHTt2jF6qXL16daunc87wPdsYOoAJKpfLcc8990S5XG71VM4pzmvzOLfN49w2T3FOndvG8j3bGDqAANAEOlW0Mx1AAIDECIAAAIkRAAEAEiMAnqOyLIt77703Vq5cGXPnzo3rr78%2BXn755Ul//oYNG6JUKsVnPvOZJs5yejqTc/t3f/d3ccUVV4y%2Bb9W1114b3/rWt6ZoxtPDmZzXDRs2RG9vb3R2dsby5cvjtttui1dffXWKZjx9nMm53bJlS3zsYx%2BLlStXRqlUiieeeGKKZgsRDzzwQKxZsybmzJkT69ati2effXbCj3355Zfj4x//eFx00UVRKpXib/7mb6ZwptOXAHiO%2BuIXvxhf%2BtKX4v7774%2BtW7dGd3d3/Nqv/dqkVi7ZunVrPPjgg3HFFVdMwUynnzM5t6tXr46NGzfG97///fj%2B978fv/qrvxq33nrraYXyc92ZnNdnnnkm1q9fH88991xs3rw5jh8/HjfeeGMMDg5O4czb35mc28HBwbjyyivj/vvvn8KZQsQ3vvGN%2BMxnPhN//ud/Hi%2B88EJ8%2BMMfjptuuineeuutcT/%2B8OHDcfHFF8fGjRuju7t7imc7jWWcc0ZGRrLu7u5s48aNo48dPXo06%2Brqyr761a%2Be9HMHBgaySy%2B9NNu8eXN23XXXZZ/%2B9KebPd1p5WzObb3zzjsv%2B4d/%2BIdGT3FaatR53bt3bxYR2TPPPNOMaU5LjTi3EZE9/vjjzZriOef%2B%2B%2B/P3ve%2B92Xvfe97s4jI%2Bvr6Wj2laeXqq6/O/vAP/3DMY5dffnn2uc997pSfe%2BGFF2Zf/vKXmzW1c4oO4Dno9ddfj927d8eNN944%2Bli5XI7rrrsuvve97530c9evXx8333xzfPSjH232NKelszm3heHh4Xj00UdjcHAwrr322mZNdVppxHmNyBd2j4hYvHhxw%2Bc4XTXq3DJ569evj1deeaUha%2B%2Bm5tixY/GDH/xgzPdrRMSNN97o%2B7XBrAV8Dtq9e3dERJx//vljHj///PPjzTffnPDzHn300Xj%2B%2Bef90DqJMz23ERHbtm2La6%2B9No4ePRoLFiyIxx9/PNauXdu0uU4nZ3NeC1mWxZ/8yZ/EL//yL8cHPvCBhs9xumrEuYWpsn///hgeHh73%2B7X4XqYxdADPAQ8//HAsWLBgtIaGhiIiolQqjfm4LMtOeKywffv2%2BPSnPx1f//rXY86cOU2f83TRiHNbuOyyy%2BLFF1%2BM5557Lv7oj/4o7rzzznjllVeaNvd21sjzWvjUpz4VL730Uvzrv/5rw%2Bc7nTTj3MJU8/3afDqA54BbbrklrrnmmtH9SqUSEfkz/xUrVow%2Bvnfv3hOeVRV%2B8IMfxN69e2PdunWjjw0PD8eWLVvi/vvvj0qlEjNnzmzSV9C%2BGnFuCx0dHXHJJZdERMQv/uIvxtatW%2BMrX/lKfO1rX2vCzNtbI89rRMRdd90V3/zmN2PLli3Jr7na6HMLU2np0qUxc%2BbME7p9vl8bTwA8B3R2dkZnZ%2BfofpZl0d3dHZs3b46rrroqIvL7Kp555pn467/%2B63GPccMNN8S2bdvGPPZ7v/d7cfnll8dnP/vZJMNfRGPO7USyLBv95ZyaRp3XLMvirrvuiscffzyefvrpWLNmTdPn3u6a%2BT0LzdbR0RHr1q2LzZs3x2/8xm%2BMPr558%2Ba49dZbWzizc8/Me%2B%2B9995WT4LGKpVKMTw8HBs2bIjLLrsshoeH40//9E/j7bffjgcffHB0Ae0bbrghBgYG4uqrr45yuRzLly8fU4888khcfPHFcccdd7T4K2ofZ3JuIyL%2B7M/%2BLDo6OiLLsti%2BfXv87d/%2BbXz961%2BPL37xi/Ge97ynlV9SWzjT87p%2B/fp4%2BOGH49///d9j5cqVcejQoTh06FDMnDkzZs%2Be3covqW2c6bk9dOhQvPLKK7F79%2B742te%2BFtdcc03MnTs3jh07Fl1dXa38kqaNSqUSGzdujLvvvnv0PHNqCxcujM9//vOxatWqmDNnTvzVX/1VPPXUU/HQQw/FokWL4o477oj//d//HX2x4rFjx2Lbtm2xe/fu%2BOd//ue46KKLYvny5XHo0CEvCDuZlrz2mKYbGRnJ7rnnnqy7uzsrl8vZRz7ykWzbtm1jPubCCy/M7rnnngmP4W1gxncm5/aTn/xkduGFF2YdHR3ZsmXLshtuuCH7r//6rymeeXs7k/MaEePWQw89NLWTb3Nncm6feuqpcc/tnXfeObWTn8b6%2Bvq8DcwZ2rRp0%2BjPzF/4hV8Y89ZO11133Zjvw9dff33c79Xrrrtu6ic%2BjZSyLMumPHUCwDmuv78/urq6oq%2BvLxYuXNjq6cAYXgUMAJAYARAAIDECIAA00KZNm2Lt2rXR29vb6qnAhNwDCABN4B5A2pkOIABAYgRAAIDECIAAAIkRAAEAEiMAAgAkRgAEAEiMAAgAkBgBEAAgMQIgAEBiBEAAgMQIgADQQNYCZjqwFjAANIG1gGlnOoAAAIkRAAEAEiMAAgAkRgAEAEiMAAgAkBgBEAAgMQIgAEBiBEAAgMQIgAAAiREAAQASIwACQANZC5jpwFrAANAE1gKmnekAAgAkRgAEAEiMAAgAkBgBEAAgMQIgAEBiBEAAqPPYY4/Fr//6r8fSpUujVCrFiy%2B%2B2OopQUMJgABQZ3BwMH7pl34pNm7c2OqpQFPMavUEAKDd/O7v/m5ERLzxxhutnQg0iQ4gAEBidAABoAEqlUpUKpXR/f7%2B/hbOBk5OBxCApD388MOxYMGC0Xr22WfP6DgbNmyIrq6u0erp6WnwTKFxrAUMQNIGBgZiz549o/urVq2KuXPnRkR%2BD%2BCaNWvihRdeiA996EMnPc54HcCenh5rAdOWXAIGIGmdnZ3R2dl51scpl8tRLpcbMCNoPgEQAOocOHAg3nrrrdi5c2dERLz66qsREdHd3R3d3d2tnBo0hHsAAaDON7/5zbjqqqvi5ptvjoiI22%2B/Pa666qr46le/2uKZQWO4BxAAmqC/vz%2B6urrcA0hb0gEEAEiMAAgAkBgBEAAgMQIgAEBiBEAAgMQIgAAAiREAAaCBNm3aFGvXro3e3t5WTwUm5H0AAaAJvA8g7UwHEAAgMQIgAEBiBEAAgMQIgAAAiREAAQASIwACACRGAAQASIwACACQGAEQACAxAiAANJCl4JgOLAUHAE1gKTjamQ4gAEBiBEAAgMQIgAAAiREAAQASIwACACRGAAQASIwACACQGAEQACAxAiAAQGIEQACAxAiAANBA1gJmOrAWMAA0gbWAaWc6gAAAiREAAQASIwACACRGAAQASIwACACQGAEQACAxAiAAQGIEQACAxAiAAACJEQABABIjAAJAA1kLmOnAWsAA0ATWAqad6QACACRGAAQASIwACACQGAEQACAxAiAAQGIEQACoMTQ0FJ/97Gfjgx/8YMyfPz9WrlwZd9xxR%2BzcubPVU4OGEQABoMbhw4fj%2Beefj89//vPx/PPPx2OPPRY/%2BclP4pZbbmn11KBhvA8gAJzC1q1b4%2Bqrr44333wzLrjggkl9jvcBpJ3pAALAKfT19UWpVIpFixa1eirQELNaPQEAaGdHjx6Nz33uc/E7v/M7J%2B3kVSqVqFQqo/v9/f1TMT04IzqAACTt4YcfjgULFozWs88%2BO/pnQ0NDcfvtt8fIyEg88MADJz3Ohg0boqura7R6enqaPXU4Y%2B4BBCBpAwMDsWfPntH9VatWxdy5c2NoaCh%2B%2B7d/O37%2B85/Hd77znViyZMlJjzNeB7Cnp8c9gLQll4ABSFpnZ2d0dnaOeawIfz/96U/jqaeeOmX4i4gol8tRLpebNU1oKAEQAGocP348fvM3fzOef/75ePLJJ2N4eDh2794dERGLFy%2BOjo6OFs8Qzp5LwABQ44033og1a9aM%2B2dPPfVUXH/99ZM6jreBoZ3pAAJAjYsuuij0RjjXeRUwAEBiBEAAgMQIgAAAiREAAQASIwACACRGAAQASIwACAANtGnTpli7dm309va2eiowIW8EDQBN4I2gaWc6gAAAiREAAQASIwACACRGAAQASIwACACQGAEQACAxAiAAQGIEQACAxAiAAACJEQABoIEsBcd0YCk4AGgCS8HRznQAAQASIwACACRGAAQASIwACACQGAEQACAxs1o9AWhnWRZx/HheQ0PVqn9seLj6WLE9PHzi9shIdazdzrLqY1mW1/BwPhbzqB0nUipVx/qaMePkNXNmXrXbM2dGzJpVHetr9uzqWLvd0ZF/DgDtSQCkLWVZxLFjEYcPV%2Bvo0YgjR8Zu144TVaUyfh07Vq36/aGh6siZKZWqwbCjY2yVy2P358ypPj5nTj6WyxFz51Yfq625c/Oq3a6tefPymjs3D6UAjOVHI2dlaChiYCCvwcF8PHRobA0Ojh0PH67uDw7m%2B8VYW%2B38DpVFt6u2C1ZUbdesdru%2ByzZeFZ262rG2CrXbEWPPVdFBrK%2Bi41jbbaytoktZdCXru5jFfm0HtLYTWq8I8ceO5f%2B%2BrTJ7dsT8%2BXkgHG%2BsrQULqlW739mZV7G9YEEePuv/HQCmCwEwQVmWd8b6%2BsZWf391rK%2BBgbHbhw7l25VK8%2Bc7c2a1m1Nb9Z2gomNUbBfdomK76DDVVn1XqrZbVWzXXt50aXN8xSXr2svkRdV3VWu7rbXd2NrubNG5re/k1nZ8i05wsV37%2BJEj1bkNDUW8%2B25ejTRrVjUYLlxYHWu3u7ryqt9etKi6L0gCrSAATlPFL7UDByIOHqzWu%2B9Wx/GqCHvHjjV2Ph0d1c5IfRWdlGKcN6%2B6X9%2BRqa%2B5c/Nj095KpWoHdO7cVs8mD6RHjlRvGSi6zLWd5mK/tmq71uN1tQcG8s%2BNyDufxf%2B7s9HRUQ2EixZFnHdePtZun3feibV4cf45M7yUDzgDAmCLDQ3lIe6dd8bWgQPVKvYPHqw%2BdujQ2f/dpVK1MzHeWF/13Y7ay2JCGu2kVKo%2BiViypLHHHh6uhsHaGq9zXlRtl714ItbfX71MvndvXqdrxow8IC5eXK0lS6rjeLV0af6ES9exeTZt2hSbNm2K4eHhVk8FJmQt4Cnw3/8d8Z//GbF//4nV3392x164MP9hX9sp6OrKHyu6CEUVl5yK/QULdA%2BgVUZG8iBZ252v7eDXjrUd/uJJYO1l7tNVLudBsL6WLRu/lixx68OZsBYw7UwHcAps3RrxpS9N/OelUh7Iap%2BlF8/gzzuvul9Ucfln0SI/lGG6mjGj2l2/4ILT//xKpXplYKKrBvv3j72ysH9/9X7Lt9/OazJKpfzn0PLlY%2Bv886tjsd3dnXdegfamAzgFtmyJePLJsc%2B0ay/HnHeeIAc0X5bl9zWOdzVi377qWFsHDpz%2B37NgQR4Iu7urY22tWFH9s9mzG/91tgsdQNqZAAjAhI4fz4NhcZ/ieLVnT7WOHp38sUul/EnwihXVWrmyOq5cGbFqVR4Wp2NQFABpZwIgAA2RZfkLYnbvzoPh7t3j165d%2BZ8fPz75Yy9fnofBIhTW1%2BrV%2BW0x7fTiFgGQdiYAAjDlRkbyzuKuXWNr586xtXv35FfkmTcvD4JF9fSM3e7pyW%2B5maqQKADSzgRAANpWERSLQFi8eKW2tm%2Bf/PsxzpuXB8ELLsirdvvCC/OwOGdOY%2BYuANLOBEAApr0jR/IwuGNHHgh37Bi7vX17HiQno7u7GgiL8aKLquNks5wASDsTAAFIwpEj1TD41lt51W6/9VZ1pZeTWbQoYs2aPAzW1po1eS1YkH%2BcAEg7EwABIPIXsbzzTh4E33yzWm%2B9FfHGG/n2O%2B%2Bc%2BjhLl0ZcfHHE6tX98dhjXfGVr/TF2rUL4%2BKL847iLO/ASxsQAAFgkg4dysNgUa%2B/ngfD11/Pa%2By9iP0R0RURfRGRdwBnzsxD4Hvek4fE97xnbHV2TvEXRLIEQABokL6%2BiI0bvxH/8i/fjUplWezff0989KN9sX37wnjjjXwVlpNZvjwPgpdcMrYuvTR/BTM0igAIAE1Qfw/gyEj%2BSuaf/zyvn/1sbJ3q8vLixXkQvPTSaih873vzsatrar4mzh0CIAA0wem%2BCKSvLw%2BCr72Wjz/9ab792mv5eySezLJlEZddlge9X4s/AAAFrElEQVTC2rrkkohyuUFfEOcUARAAmqCRrwI%2BdCjvGv70p9X6yU/ycLh798SfN2NG/grlyy6r1uWX52N3d3utnMLUEgABoAmm6m1g%2BvurgbCoV1/Nx4GBiT9v4cI8DNbW%2B96X34M4Hdde5vQIgADQBK1%2BH8Asi9izJw%2BDr74a8eMfV8c33shXWRnPrFn5fYXve19ea9fm42WX5SupcG4QAAGgCVodAE%2BmUskvH//oR3kg/PGP8%2B1XX40YHBz/c0ql/I2u166t1vvfn4fD%2BfOndv6cPQEQAOrce%2B%2B98eijj8b27dujo6Mj1q1bF1/4whfimmuumfQx2jkATmRkJF8t5Uc/qtYrr%2BR14MD4n1Mq5fcZvv/91frAB/Jg2Kh1lWk8ARAA6jzyyCOxfPnyuPjii%2BPIkSPx5S9/Of7t3/4tXnvttVi2bNmkjjEdA%2BBEsixi375qGHz55eq4b9/4nzNjRv4q5A98IK8PfjAfL7nEaijtQAAEgFMowty3v/3tuOGGG07rc86FAHgy%2B/blQbCoH/4wHyfqGJbL%2BeXjD34w4oorquP553tV8lSSwQHgJI4dOxYPPvhgdHV1xZVXXtnq6bSdZcsirr8%2Br0KW5e9d%2BMMfVgPhtm35ePhwxAsv5FVr6dI8CF55ZT5ecUUeFF1Gbg4dQAAYx5NPPhm33357HD58OFasWBFPPPFE9Pb2TvjxlUolKjVrvfX390dPT8853wE8HSMj%2BZrJ27ZFvPRSdXzttfFflTxzZv72NFdeWa0PfSjvFnJ2BEAAkvbwww/HH/zBH4zuf%2Btb34oPf/jDMTg4GLt27Yr9%2B/fH3//938d3vvOd%2BJ//%2BZ9Yvnz5uMe5995747777jvhcQHw1I4cybuDL70U8X//l48vvTTxZeTu7jwIfuhDEVddlY%2BXXJLfd8jkCIAAJG1gYCD27Nkzur9q1aqYO3fuCR936aWXxic/%2Bcm4%2B%2B67xz2ODmBjZVnE22/ngbCoF1/M3/R6vOQyf37eIfz934/4xCemfLrTjnsAAUhaZ2dndHZ2nvLjsiwbE/DqlcvlKFt4t2FKpYjVq/O6%2Bebq44ODeXfwxRertW1b/vj3vhdx222tm/N0IgACQI3BwcH4whe%2BELfcckusWLEi3nnnnXjggQdix44d8Vu/9Vutnl7y5s%2BPuPbavArHj%2BdL3734YsS6da2b23QiAAJAjZkzZ8aPf/zj%2BKd/%2BqfYv39/LFmyJHp7e%2BPZZ5%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%2BU1CqAAAAAElFTkSuQmCC'}