Newspace data - 9747.2.dr

Formats: - HTML - YAML - JSON - 2024-05-22T02:10:17.139507

• 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': 361, 'char_degree': 108, 'char_is_real': False, 'char_orbit_index': 96, 'char_orbit_label': 'dr', 'char_order': 171, 'char_parity': 1, 'char_values': [9747, 171, [6860, 2890], [171, 167]], 'conrey_index': 55, 'cusp_dim': 122472, 'dim': 54756, 'eis_dim': 1296, 'eis_new_dim': 0, 'hecke_orbit_code': 6528383854099, 'label': '9747.2.dr', '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': 11, '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: 1674987
    {'char_orbit_index': 96, 'char_orbit_label': 'dr', 'conrey_index': 55, 'conrey_indexes': [55, 82, 244, 271, 541, 568, 757, 973, 1054, 1081, 1108, 1270, 1297, 1486, 1567, 1594, 1621, 1783, 1810, 1999, 2080, 2107, 2134, 2296, 2323, 2512, 2593, 2620, 2647, 2809, 2836, 3025, 3106, 3160, 3322, 3349, 3538, 3619, 3646, 3673, 3835, 3862, 4051, 4132, 4159, 4186, 4348, 4375, 4564, 4645, 4672, 4699, 4861, 4888, 5077, 5158, 5185, 5212, 5374, 5401, 5590, 5671, 5698, 5725, 5887, 5914, 6103, 6184, 6211, 6238, 6400, 6427, 6616, 6697, 6724, 6751, 6940, 7129, 7210, 7237, 7264, 7426, 7453, 7642, 7723, 7750, 7777, 7939, 7966, 8155, 8236, 8263, 8290, 8452, 8479, 8668, 8749, 8776, 8803, 8965, 8992, 9181, 9262, 9289, 9316, 9478, 9505, 9694], 'label': '9747.2.dr', 'level': 9747, 'sub_char_orbit_index': 11, 'sub_char_orbit_label': 'k', 'sub_conrey_index': 4, 'sub_conrey_indexes': [4, 5, 6, 9, 16, 17, 23, 24, 25, 35, 36, 42, 43, 44, 47, 55, 61, 63, 66, 73, 74, 80, 81, 82, 85, 92, 93, 100, 101, 104, 111, 112, 118, 119, 120, 123, 130, 131, 137, 138, 139, 142, 149, 150, 156, 157, 158, 161, 168, 169, 175, 176, 177, 180, 187, 188, 194, 195, 196, 199, 206, 207, 213, 214, 215, 218, 225, 226, 232, 233, 237, 244, 251, 252, 253, 256, 263, 264, 270, 271, 272, 275, 282, 283, 289, 290, 291, 294, 301, 302, 308, 309, 310, 313, 320, 321, 327, 328, 329, 332, 339, 340, 346, 347, 348, 351, 358, 359], 'sub_dim': 3348, 'sub_label': '361.2.k', 'sub_level': 361, 'sub_mult': 4, 'weight': 2}
  • id: 1674985
    {'char_orbit_index': 96, 'char_orbit_label': 'dr', 'conrey_index': 55, 'conrey_indexes': [55, 82, 244, 271, 541, 568, 757, 973, 1054, 1081, 1108, 1270, 1297, 1486, 1567, 1594, 1621, 1783, 1810, 1999, 2080, 2107, 2134, 2296, 2323, 2512, 2593, 2620, 2647, 2809, 2836, 3025, 3106, 3160, 3322, 3349, 3538, 3619, 3646, 3673, 3835, 3862, 4051, 4132, 4159, 4186, 4348, 4375, 4564, 4645, 4672, 4699, 4861, 4888, 5077, 5158, 5185, 5212, 5374, 5401, 5590, 5671, 5698, 5725, 5887, 5914, 6103, 6184, 6211, 6238, 6400, 6427, 6616, 6697, 6724, 6751, 6940, 7129, 7210, 7237, 7264, 7426, 7453, 7642, 7723, 7750, 7777, 7939, 7966, 8155, 8236, 8263, 8290, 8452, 8479, 8668, 8749, 8776, 8803, 8965, 8992, 9181, 9262, 9289, 9316, 9478, 9505, 9694], 'label': '9747.2.dr', 'level': 9747, 'sub_char_orbit_index': 21, 'sub_char_orbit_label': 'u', 'sub_conrey_index': 4, 'sub_conrey_indexes': [4, 16, 25, 43, 55, 61, 73, 82, 85, 100, 112, 118, 130, 139, 142, 157, 169, 175, 187, 196, 199, 214, 226, 232, 244, 253, 256, 271, 283, 289, 301, 310, 313, 328, 340, 346, 358, 367, 370, 385, 397, 403, 424, 427, 442, 454, 472, 481, 484, 499, 511, 517, 529, 538, 541, 556, 568, 574, 586, 598, 613, 625, 631, 643, 652, 655, 670, 682, 688, 700, 709, 712, 727, 739, 745, 757, 766, 769, 796, 802, 814, 823, 826, 841, 853, 859, 871, 880, 883, 898, 910, 916, 928, 937, 940, 955, 973, 985, 994, 997, 1012, 1024, 1030, 1042, 1051, 1054, 1069, 1081], 'sub_dim': 6804, 'sub_label': '1083.2.u', 'sub_level': 1083, 'sub_mult': 3, 'weight': 2}
  • id: 1674986
    {'char_orbit_index': 96, 'char_orbit_label': 'dr', 'conrey_index': 55, 'conrey_indexes': [55, 82, 244, 271, 541, 568, 757, 973, 1054, 1081, 1108, 1270, 1297, 1486, 1567, 1594, 1621, 1783, 1810, 1999, 2080, 2107, 2134, 2296, 2323, 2512, 2593, 2620, 2647, 2809, 2836, 3025, 3106, 3160, 3322, 3349, 3538, 3619, 3646, 3673, 3835, 3862, 4051, 4132, 4159, 4186, 4348, 4375, 4564, 4645, 4672, 4699, 4861, 4888, 5077, 5158, 5185, 5212, 5374, 5401, 5590, 5671, 5698, 5725, 5887, 5914, 6103, 6184, 6211, 6238, 6400, 6427, 6616, 6697, 6724, 6751, 6940, 7129, 7210, 7237, 7264, 7426, 7453, 7642, 7723, 7750, 7777, 7939, 7966, 8155, 8236, 8263, 8290, 8452, 8479, 8668, 8749, 8776, 8803, 8965, 8992, 9181, 9262, 9289, 9316, 9478, 9505, 9694], 'label': '9747.2.dr', 'level': 9747, 'sub_char_orbit_index': 55, 'sub_char_orbit_label': 'cc', 'sub_conrey_index': 55, 'sub_conrey_indexes': [55, 73, 82, 100, 118, 199, 226, 244, 253, 271, 289, 370, 397, 424, 442, 541, 568, 586, 613, 631, 712, 739, 757, 766, 802, 883, 910, 928, 937, 955, 973, 1054, 1081, 1099, 1108, 1126, 1144, 1225, 1252, 1270, 1279, 1297, 1315, 1396, 1423, 1441, 1450, 1468, 1486, 1567, 1594, 1612, 1621, 1639, 1657, 1738, 1765, 1783, 1792, 1810, 1828, 1909, 1936, 1954, 1963, 1981, 1999, 2080, 2107, 2125, 2134, 2152, 2170, 2251, 2278, 2296, 2305, 2323, 2341, 2422, 2449, 2467, 2476, 2494, 2512, 2593, 2620, 2638, 2647, 2665, 2683, 2764, 2791, 2809, 2818, 2836, 2854, 2935, 2962, 2980, 2989, 3007, 3025, 3106, 3151, 3160, 3178, 3196], 'sub_dim': 16956, 'sub_label': '3249.2.cc', 'sub_level': 3249, 'sub_mult': 2, 'weight': 2}
  • id: 1674988
    {'char_orbit_index': 96, 'char_orbit_label': 'dr', 'conrey_index': 55, 'conrey_indexes': [55, 82, 244, 271, 541, 568, 757, 973, 1054, 1081, 1108, 1270, 1297, 1486, 1567, 1594, 1621, 1783, 1810, 1999, 2080, 2107, 2134, 2296, 2323, 2512, 2593, 2620, 2647, 2809, 2836, 3025, 3106, 3160, 3322, 3349, 3538, 3619, 3646, 3673, 3835, 3862, 4051, 4132, 4159, 4186, 4348, 4375, 4564, 4645, 4672, 4699, 4861, 4888, 5077, 5158, 5185, 5212, 5374, 5401, 5590, 5671, 5698, 5725, 5887, 5914, 6103, 6184, 6211, 6238, 6400, 6427, 6616, 6697, 6724, 6751, 6940, 7129, 7210, 7237, 7264, 7426, 7453, 7642, 7723, 7750, 7777, 7939, 7966, 8155, 8236, 8263, 8290, 8452, 8479, 8668, 8749, 8776, 8803, 8965, 8992, 9181, 9262, 9289, 9316, 9478, 9505, 9694], 'label': '9747.2.dr', 'level': 9747, 'sub_char_orbit_index': 96, 'sub_char_orbit_label': 'dr', 'sub_conrey_index': 55, 'sub_conrey_indexes': [55, 82, 244, 271, 541, 568, 757, 973, 1054, 1081, 1108, 1270, 1297, 1486, 1567, 1594, 1621, 1783, 1810, 1999, 2080, 2107, 2134, 2296, 2323, 2512, 2593, 2620, 2647, 2809, 2836, 3025, 3106, 3160, 3322, 3349, 3538, 3619, 3646, 3673, 3835, 3862, 4051, 4132, 4159, 4186, 4348, 4375, 4564, 4645, 4672, 4699, 4861, 4888, 5077, 5158, 5185, 5212, 5374, 5401, 5590, 5671, 5698, 5725, 5887, 5914, 6103, 6184, 6211, 6238, 6400, 6427, 6616, 6697, 6724, 6751, 6940, 7129, 7210, 7237, 7264, 7426, 7453, 7642, 7723, 7750, 7777, 7939, 7966, 8155, 8236, 8263, 8290, 8452, 8479, 8668, 8749, 8776, 8803, 8965, 8992, 9181, 9262, 9289, 9316, 9478, 9505, 9694], 'sub_dim': 54756, 'sub_label': '9747.2.dr', 'sub_level': 9747, 'sub_mult': 1, 'weight': 2}
• label 9747.2.dr does not appear in mf_newspace_portraits
• hecke_orbit_code 6528383854099 does not appear in mf_hecke_newspace_traces