Newspace data - 9747.2.ew

Formats: - HTML - YAML - JSON - 2024-05-21T13:09:43.013721

• mf_newspaces •

  Column	Type
  ALdims	integer[]
  Nk2	integer
  a4_dim	integer
  a5_dim	integer
  analytic_conductor	double precision
  char_conductor	integer
  char_degree	integer
  char_is_real	boolean
  char_orbit_index	smallint
  char_orbit_label	text
  char_order	integer
  char_parity	smallint
  char_values	jsonb
  conrey_index	integer
  cusp_dim	integer
  dihedral_dim	integer
  dim	integer
  eis_dim	integer
  eis_new_dim	integer
  hecke_cutter_primes	integer[]
  hecke_orbit_code	bigint
  hecke_orbit_dims	integer[]
  label	text
  level	integer
  level_is_powerful	boolean
  level_is_prime	boolean
  level_is_prime_power	boolean
  level_is_prime_square	boolean
  level_is_square	boolean
  level_is_squarefree	boolean
  level_primes	integer[]
  level_radical	integer
  mf_dim	integer
  mf_new_dim	integer
  num_forms	smallint
  plus_dim	integer
  prim_orbit_index	smallint
  relative_dim	integer
  s4_dim	integer
  sturm_bound	integer
  trace_bound	integer
  trace_display	numeric[]
  traces	numeric[]
  weight	smallint
  weight_parity	smallint

  
  {'Nk2': 38988, 'analytic_conductor': 77.83018685014198, 'char_conductor': 1083, 'char_degree': 108, 'char_is_real': False, 'char_orbit_index': 127, 'char_orbit_label': 'ew', 'char_order': 342, 'char_parity': 1, 'char_values': [9747, 342, [6860, 2890], [171, 83]], 'conrey_index': 53, 'cusp_dim': 122472, 'dim': 54756, 'eis_dim': 1296, 'eis_new_dim': 0, 'hecke_orbit_code': 8658687632915, 'label': '9747.2.ew', 'level': 9747, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 19], 'level_radical': 57, 'mf_dim': 123768, 'mf_new_dim': 54756, 'prim_orbit_index': 24, 'relative_dim': 507, 'sturm_bound': 2280, 'weight': 2, 'weight_parity': 1}
• mf_subspaces •

  Column	Type
  char_orbit_index	smallint
  char_orbit_label	text
  conrey_index	integer
  conrey_indexes	integer[]
  label	text
  level	integer
  sub_char_orbit_index	smallint
  sub_char_orbit_label	text
  sub_conrey_index	integer
  sub_conrey_indexes	integer[]
  sub_dim	integer
  sub_label	text
  sub_level	integer
  sub_mult	integer
  weight	smallint

  
  
  • id: 1675001
    {'char_orbit_index': 127, 'char_orbit_label': 'ew', 'conrey_index': 53, 'conrey_indexes': [53, 242, 269, 431, 458, 485, 566, 755, 782, 944, 971, 998, 1079, 1268, 1295, 1457, 1484, 1511, 1592, 1781, 1808, 1970, 1997, 2024, 2105, 2294, 2321, 2483, 2510, 2537, 2618, 2807, 2996, 3023, 3050, 3131, 3320, 3347, 3509, 3536, 3563, 3644, 3833, 3860, 4022, 4049, 4076, 4157, 4346, 4373, 4535, 4562, 4589, 4670, 4859, 4886, 5048, 5075, 5102, 5183, 5372, 5399, 5561, 5588, 5615, 5696, 5885, 5912, 6074, 6101, 6128, 6209, 6398, 6425, 6587, 6641, 6722, 6911, 6938, 7100, 7127, 7154, 7235, 7424, 7451, 7613, 7640, 7667, 7748, 7937, 7964, 8126, 8153, 8180, 8261, 8450, 8477, 8639, 8666, 8693, 8774, 8990, 9179, 9206, 9476, 9503, 9665, 9692], 'label': '9747.2.ew', 'level': 9747, 'sub_char_orbit_index': 24, 'sub_char_orbit_label': 'x', 'sub_conrey_index': 2, 'sub_conrey_indexes': [2, 14, 29, 32, 41, 53, 59, 71, 86, 89, 98, 110, 128, 143, 146, 155, 167, 173, 185, 200, 203, 212, 224, 230, 242, 257, 260, 269, 281, 287, 314, 317, 326, 338, 344, 356, 371, 374, 383, 395, 401, 413, 428, 431, 440, 452, 458, 470, 485, 497, 509, 515, 527, 542, 545, 554, 566, 572, 584, 599, 602, 611, 629, 641, 656, 659, 680, 686, 698, 713, 716, 725, 737, 743, 755, 770, 773, 782, 794, 800, 812, 827, 830, 839, 851, 857, 869, 884, 887, 896, 908, 914, 926, 941, 944, 953, 965, 971, 983, 998, 1001, 1010, 1022, 1028, 1040, 1058, 1067, 1079], 'sub_dim': 13500, 'sub_label': '1083.2.x', 'sub_level': 1083, 'sub_mult': 3, 'weight': 2}
  • id: 1675002
    {'char_orbit_index': 127, 'char_orbit_label': 'ew', 'conrey_index': 53, 'conrey_indexes': [53, 242, 269, 431, 458, 485, 566, 755, 782, 944, 971, 998, 1079, 1268, 1295, 1457, 1484, 1511, 1592, 1781, 1808, 1970, 1997, 2024, 2105, 2294, 2321, 2483, 2510, 2537, 2618, 2807, 2996, 3023, 3050, 3131, 3320, 3347, 3509, 3536, 3563, 3644, 3833, 3860, 4022, 4049, 4076, 4157, 4346, 4373, 4535, 4562, 4589, 4670, 4859, 4886, 5048, 5075, 5102, 5183, 5372, 5399, 5561, 5588, 5615, 5696, 5885, 5912, 6074, 6101, 6128, 6209, 6398, 6425, 6587, 6641, 6722, 6911, 6938, 7100, 7127, 7154, 7235, 7424, 7451, 7613, 7640, 7667, 7748, 7937, 7964, 8126, 8153, 8180, 8261, 8450, 8477, 8639, 8666, 8693, 8774, 8990, 9179, 9206, 9476, 9503, 9665, 9692], 'label': '9747.2.ew', 'level': 9747, 'sub_char_orbit_index': 63, 'sub_char_orbit_label': 'ck', 'sub_conrey_index': 53, 'sub_conrey_indexes': [53, 71, 89, 98, 143, 224, 242, 260, 269, 287, 314, 395, 413, 431, 440, 458, 485, 566, 584, 602, 611, 629, 656, 737, 755, 773, 782, 800, 827, 908, 926, 944, 953, 971, 998, 1079, 1097, 1115, 1124, 1142, 1169, 1250, 1268, 1286, 1295, 1313, 1340, 1421, 1439, 1457, 1466, 1484, 1511, 1592, 1610, 1628, 1637, 1655, 1682, 1763, 1781, 1799, 1808, 1826, 1853, 1934, 1952, 1970, 1979, 1997, 2024, 2105, 2123, 2141, 2150, 2168, 2195, 2276, 2294, 2312, 2321, 2339, 2366, 2447, 2483, 2492, 2510, 2537, 2618, 2636, 2663, 2681, 2708, 2807, 2825, 2852, 2879, 2960, 2978, 2996, 3005, 3023, 3050, 3131, 3149, 3167, 3176, 3194], 'sub_dim': 13608, 'sub_label': '3249.2.ck', 'sub_level': 3249, 'sub_mult': 2, 'weight': 2}
  • id: 1675003
    {'char_orbit_index': 127, 'char_orbit_label': 'ew', 'conrey_index': 53, 'conrey_indexes': [53, 242, 269, 431, 458, 485, 566, 755, 782, 944, 971, 998, 1079, 1268, 1295, 1457, 1484, 1511, 1592, 1781, 1808, 1970, 1997, 2024, 2105, 2294, 2321, 2483, 2510, 2537, 2618, 2807, 2996, 3023, 3050, 3131, 3320, 3347, 3509, 3536, 3563, 3644, 3833, 3860, 4022, 4049, 4076, 4157, 4346, 4373, 4535, 4562, 4589, 4670, 4859, 4886, 5048, 5075, 5102, 5183, 5372, 5399, 5561, 5588, 5615, 5696, 5885, 5912, 6074, 6101, 6128, 6209, 6398, 6425, 6587, 6641, 6722, 6911, 6938, 7100, 7127, 7154, 7235, 7424, 7451, 7613, 7640, 7667, 7748, 7937, 7964, 8126, 8153, 8180, 8261, 8450, 8477, 8639, 8666, 8693, 8774, 8990, 9179, 9206, 9476, 9503, 9665, 9692], 'label': '9747.2.ew', 'level': 9747, 'sub_char_orbit_index': 127, 'sub_char_orbit_label': 'ew', 'sub_conrey_index': 53, 'sub_conrey_indexes': [53, 242, 269, 431, 458, 485, 566, 755, 782, 944, 971, 998, 1079, 1268, 1295, 1457, 1484, 1511, 1592, 1781, 1808, 1970, 1997, 2024, 2105, 2294, 2321, 2483, 2510, 2537, 2618, 2807, 2996, 3023, 3050, 3131, 3320, 3347, 3509, 3536, 3563, 3644, 3833, 3860, 4022, 4049, 4076, 4157, 4346, 4373, 4535, 4562, 4589, 4670, 4859, 4886, 5048, 5075, 5102, 5183, 5372, 5399, 5561, 5588, 5615, 5696, 5885, 5912, 6074, 6101, 6128, 6209, 6398, 6425, 6587, 6641, 6722, 6911, 6938, 7100, 7127, 7154, 7235, 7424, 7451, 7613, 7640, 7667, 7748, 7937, 7964, 8126, 8153, 8180, 8261, 8450, 8477, 8639, 8666, 8693, 8774, 8990, 9179, 9206, 9476, 9503, 9665, 9692], 'sub_dim': 54756, 'sub_label': '9747.2.ew', 'sub_level': 9747, 'sub_mult': 1, 'weight': 2}
• label 9747.2.ew does not appear in mf_newspace_portraits
• hecke_orbit_code 8658687632915 does not appear in mf_hecke_newspace_traces