Newform data - 49.6.a.b

Formats: - HTML - YAML - JSON - 2026-05-09T23:00:50.676124

• mf_newforms •

  Column	Type
  Nk2	integer
  analytic_conductor	double precision
  analytic_rank	smallint
  analytic_rank_proved	boolean
  artin_degree	integer
  artin_field	numeric[]
  artin_field_label	text
  artin_image	text
  atkin_lehner_eigenvals	integer[]
  atkin_lehner_string	text
  char_conductor	integer
  char_degree	integer
  char_is_minimal	boolean
  char_is_real	boolean
  char_orbit_index	smallint
  char_orbit_label	text
  char_order	integer
  char_parity	smallint
  char_values	jsonb
  cm_discs	integer[]
  conrey_index	integer
  dim	integer
  embedded_related_objects	text[]
  field_disc	numeric
  field_disc_factorization	numeric[]
  field_poly	numeric[]
  field_poly_is_cyclotomic	boolean
  field_poly_is_real_cyclotomic	boolean
  field_poly_root_of_unity	integer
  fricke_eigenval	smallint
  has_non_self_twist	smallint
  hecke_cutters	jsonb
  hecke_orbit	integer
  hecke_orbit_code	bigint
  hecke_ring_generator_nbound	integer
  hecke_ring_index	numeric
  hecke_ring_index_factorization	numeric[]
  hecke_ring_index_proved	boolean
  inner_twist_count	integer
  inner_twists	integer[]
  is_cm	boolean
  is_largest	boolean
  is_maximal	boolean
  is_polredabs	boolean
  is_rm	boolean
  is_self_dual	boolean
  is_self_twist	boolean
  is_twist_minimal	boolean
  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
  minimal_twist	text
  nf_label	text
  prim_orbit_index	smallint
  projective_field	numeric[]
  projective_field_label	text
  projective_image	text
  projective_image_type	text
  qexp_display	text
  related_objects	text[]
  relative_dim	integer
  rm_discs	integer[]
  sato_tate_group	text
  self_twist_discs	integer[]
  self_twist_type	smallint
  space_label	text
  trace_display	numeric[]
  trace_hash	bigint
  trace_moments	numeric[]
  trace_zratio	numeric
  traces	numeric[]
  weight	smallint
  weight_parity	smallint

  
  {'Nk2': 1764, 'analytic_conductor': 7.858807170836051, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[7, -1]], 'atkin_lehner_string': '-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [49, 1, [3], [1]], 'cm_discs': [-7], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-11, 1]], [3, [0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599728033841, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, -7]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '49.6.a.b', 'level': 49, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7], 'level_radical': 7, 'minimal_twist': '49.6.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+11q^{2}+89q^{4}+627q^{8}-3^{5}q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '5.2.1.d1', 'self_twist_discs': [-7], 'self_twist_type': 1, 'space_label': '49.6.a', 'trace_display': [11, 0, 0, 0], 'trace_hash': 847830662616323772, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.966', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.033', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.850', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.132', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.373', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.506', 'prec': 17}, 'traces': [1, 11, 0, 89, 0, 0, 0, 627, -243, 0, -76, 0, 0, 0, 0, 4049, 0, -2673, 0, 0, 0, -836, -4952, 0, -3125, 0, 0, 0, 7282, 0, 0, 24475, 0, 0, 0, -21627, -8886, 0, 0, 0, 0, 0, 11748, -6764, 0, -54472, 0, 0, 0, -34375, 0, 0, 24550, 0, 0, 0, 0, 80102, 0, 0, 0, 0, 0, 139657, 0, 0, 69364, 0, 0, 0, -2224, -152361, 0, -97746, 0, 0, 0, 0, 80168, 0, 59049, 0, 0, 0, 0, 129228, 0, -47652, 0, 0, 0, -440728, 0, 0, 0, 0, 0, 0, 18468, -278125, 0, 0, 0, 0, 0, 270050, -64900, 0, -219582, 0, 0, 0, 123202, 0, 0, 648098, 0, 0, 0, 0, -155275, 0, 0, 0, 0, 0, -262064, 753027, 0, 0, 0, 0, 0, 763004, 0, 0, -353450, 0, 0, 0, 0, -24464, 0, -983907, 0, 0, 0, -790854, -337018, 0, -261624, 0, 0, 0, 0, 0, 0, 881848, 0, 0, 0, 649539, 663100, 0, 0, 0, 0, 0, -371293, 0, 0, 1045572, 0, 0, 0, -307724, 0, 0, 584564, 0, 0, 0, 0, -3104904, 0, 0, 0, 0, 0, 0, 1003048, 0, -385902, 0, 0, 0, 385814, 203148, 0, -1959375, 0, 0, 0, 0, 0, 0, 1203336, 0, 0, 0, -1097052, 2184950, 0, -713900, 0, 0, 0, -2415402, 0, 0, 0, 0, 0, 0, 759375, 1355222, 0, 0, 0, 0, 0, 4565814, -1279498, 0, 0, 0, 0, 0, 723536, 0, 0, -1708025, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 376352, -2882704, 0, 3814273, 0, 0, 0, 0, -1769526, 0, 1531552, 0, 0, 0, 0, 6173396, 0, 0, 0, 0, 0, -3887950, 237500, 0, -2551450, 0, 0, 0, 2547974, 0, 0, -197936, 0, 0, 0, -5947425, -1419857, 0, 0, 0, 0, 0, 0, -5571522, 0, -3707198, 0, 0, 0, -2877864, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7134952, -221714, 0, -553432, 0, 0, 0, 0, 5255361, 0, 7294100, 0, 0, 0, 0, 2971476, 0, 2159298, 0, 0, 0, -4159650, -4084223, 0, 0, 0, 0, 0, 7365996, 0, 0, 2298164, 0, 0, 0, 0, -1860100, 0, 0, 0, 0, 0, 6430204, 4268968, 0, -2476099, 0, 0, 0, 0, 0, 0, -20050648, 0, 0, 0, 0, 599302, 0, 0, 0, 0, 0, -5592732, 0, 0, 11033528, 0, 0, 0, -4244922, -2854764, 0, -1260118, 0, 0, 0, 0, 4243954, 0, 1643652, 0, 0, 0, -12653125, 6032926, 0, 0, 0, 0, 0, 675336, 0, 0, 0, 0, 0, 0, 13236696, 0, 0, 0, 0, 0, 0, 2074774, -12067572, 0, 15392850, 0, 0, 0, -5776100, 0, 0, -7338848, 0, 0, 0, 0, -19542798, 0, 0, 0, 0, 0, 0, -5104900, 0, 0, 0, 0, 0, 1998082, 8353125, 0, 10964978, 0, 0, 0, 0, -5779686, 0, 0, 0, 0, 0, 2886200, 29484818, 0, -14074478, 0, 0, 0, 0, 0, 0, -892848, 0, 0, 0, -5965650, 7958896, 0, 0, 0, 0, 0, -13819475, 0, 0, -2761464, 0, 0, 0, 8827324, 0, 0, 0, 0, 0, 0, 0, -11120364, 0, 0, 0, 0, 0, 0, 4139872, 0, -23323696, 0, 0, 0, 17860139, 0, 0, 0, 0, 0, 0, 0, 0, 0, -19464786, 0, 0, 0, 16847072, 0, 0, 18085961, 0, 0, 0, 0, 0, 0, 43491228, 0, 0, 0, 0, 11126126, 0, 0, 0, 0, 0, -2236036, -31457050, 0, 2612500, 0, 0, 0, -28065950, 0, 0, 6239486, 0, 0, 0, 0, 28027714, 0, 0, 0, 0, 0, -1394448, 10473782, 0, 6339124, 0, 0, 0, 15475000, -33936651, 0, -15618427, 0, 0, 0, 0, -1865800, 0, 0, 0, 0, 0, 0, 0, 0, -35979414, 0, 0, 0, -29994602, 0, 0, -7177568, 0, 0, 0, -16855452, -23284536, 0, 0, 0, 0, 0, 0, 0, 0, 17551402, 0, 0, 0, -7148986, 0, 0, 0, 0, 0, 0, 0, 9765625, 0, 0, 0, 0, 0, 19978576, 50265336, 0, -2438854, 0, 0, 0, -6087752, 540432, 0, -11496274, 0, 0, 0, 0, 0, 0, 37023723, 0, 0, 0, 59015900, 10977250, 0, 0, 0, 0, 0, -20223236, 0, 0, 32686236, 0, 0, 0, 23752278, -36060464, 0, 0, 0, 0, 0, 1384350, -45756150, 0, -33045077, 0, 0, 0, 0, 0, 0, -21314852, 0, 0, 0, 0, 47567652, 0, 0, 0, 0, 0, 25279804, 0, 0, 0, 0, 0, 0, 4886002, 0, 0, -10613932, 0, 0, 0, 0, -14322486, 0, -19480824, 0, 0, 0, 0, 52026196, 0, 46958648, 0, 0, 0, -27237089, 0, 0, -22756250, 0, 0, 0, -14348907, 0, 0, 0, 0, 0, 0, -121200200, -5271664, 0, -2648932, 0, 0, 0, 24950200, 0, 0, 6592322, 0, 0, 0, 0, 25108752, 0, 0, 0, 0, 0, -17887014, -61520052, 0, 0, 0, 0, 0, 89271272, 0, 0, 0, 0, 0, 0, 0, -34345278, 0, -31402404, 0, 0, 0, -13861298, 0, 0, 169024, 0, 0, 0, 0, 0, 0, 34337446, 0, 0, 0, 11579436, 0, 0, 0, 0, 0, 0, 0, -76484375, 0, 66362186, 0, 0, 0, 0, 0, 0, 18370682, 0, 0, 0, 0, 7428696, 0, 0, 0, 0, 0, 0, 35588102, 0, 7086752, 0, 0, 0, -36855236, 107096904, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32516375, 22822514, 0, -97637628, 0, 0, 0, 99402950, 0, 0, 44003472, 0, 0, 0, 0, -40692300, 0, 0, 0, 0, 0, -80727328, 27614248, 0, 0, 0, 0, 0, -6092768, 0, 0, -137677914, 0, 0, 0, 0, -43342750, 0, 0, 0, 0, 0, -39401052, 0, 0, -56153900, 0, 0, 0, 0, -4487724, 0, 0, 0, 0, 0, 0, 21978902, 0, 67584375, 0, 0, 0, 77247654, 0, 0, 44834700, 0, 0, 0, 48784976, 0, 0, -63576546, 0, 0, 0, 0, 50671632, 0, 0, 0, 0, 0, 27768750, 31748200, 0, 178226950, 0, 0, 0, -113875322, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9821328, -55000900, 0, 0, 0, 0, 0, -9971302, -65622150, 0, 64394704, 0, 0, 0, 0, -28629151, 0, 15770700, 0, 0, 0, 20022200, -97357425, 0, 0, 0, 0, 0, -30376104, 0, 0, -49981714, 0, 0, 0, 53358426, 97100564, 0, 0, 0, 0, 0, 0, -58176096, 0, -57314424, 0, 0, 0, 0, 0, 0, -122324004, 0, 0], 'weight': 6, 'weight_parity': 1}
• mf_hecke_nf •

  Column	Type
  an	jsonb
  ap	jsonb
  char_orbit_index	smallint
  field_poly	numeric[]
  hecke_orbit_code	bigint
  hecke_ring_character_values	jsonb
  hecke_ring_cyclotomic_generator	integer
  hecke_ring_denominators	numeric[]
  hecke_ring_inverse_denominators	numeric[]
  hecke_ring_inverse_numerators	numeric[]
  hecke_ring_numerators	numeric[]
  hecke_ring_power_basis	boolean
  hecke_ring_rank	integer
  label	text
  level	integer
  maxp	integer
  weight	smallint

  
  {'an': [[1], [11], [0], [89], [0], [0], [0], [627], [-243], [0], [-76], [0], [0], [0], [0], [4049], [0], [-2673], [0], [0], [0], [-836], [-4952], [0], [-3125], [0], [0], [0], [7282], [0], [0], [24475], [0], [0], [0], [-21627], [-8886], [0], [0], [0], [0], [0], [11748], [-6764], [0], [-54472], [0], [0], [0], [-34375], [0], [0], [24550], [0], [0], [0], [0], [80102], [0], [0], [0], [0], [0], [139657], [0], [0], [69364], [0], [0], [0], [-2224], [-152361], [0], [-97746], [0], [0], [0], [0], [80168], [0], [59049], [0], [0], [0], [0], [129228], [0], [-47652], [0], [0], [0], [-440728], [0], [0], [0], [0], [0], [0], [18468], [-278125]], 'ap': [[11], [0], [0], [0], [-76], [0], [0], [0], [-4952], [7282], [0], [-8886], [0], [11748], [0], [24550], [0], [0], [69364], [-2224], [0], [80168], [0], [0], [0], [0], [0], [-64900], [-219582], [123202], [-262064], [0], [-353450], [0], [-337018], [-261624], [0], [663100], [0], [0], [584564], [0], [1003048], [-385902], [385814], [0], [-1097052], [0], [0], [0], [-1279498], [723536], [0], [0], [0], [1531552], [0], [0], [-2551450], [2547974], [0], [0], [0], [0], [0], [-221714], [2971476], [-4159650], [2298164], [0], [0], [4268968], [0], [599302], [-5592732], [0], [-1260118], [0], [6032926], [0], [0], [2074774], [-7338848], [0], [0], [-5104900], [1998082], [-5779686], [0], [2886200], [0], [0], [-2761464], [8827324], [-11120364], [0], [0], [0], [0], [11126126], [-2236036], [6239486], [0], [10473782], [6339124], [0], [0], [0], [-7177568], [0], [0], [17551402], [-7148986], [0], [19978576], [-11496274], [0], [0], [10977250], [-20223236], [0], [1384350], [0], [-21314852], [0], [4886002], [-14322486], [0], [0], [0], [-2648932], [24950200], [25108752], [-17887014], [0], [0], [0], [0], [0], [18370682], [0], [35588102], [7086752], [-36855236], [0], [0], [0], [0], [0], [27614248], [-43342750], [0], [-39401052], [0], [44834700], [48784976], [50671632], [0], [0], [0], [-55000900], [-9971302], [20022200], [0], [-49981714], [0], [-57314424], [0]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 4503599728033841, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '49.6.a.b', 'level': 49, 'maxp': 997, 'weight': 6}
• mf_newspaces •

  Column	Type
  ALdims	integer[]
  ALdims_eis_new	integer[]
  ALdims_eis_old	integer[]
  ALdims_old	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

  
  {'ALdims': [6, 8], 'ALdims_eis_new': [2, 3], 'ALdims_eis_old': [2, 1], 'ALdims_old': [3, 3], 'Nk2': 1764, 'analytic_conductor': 7.858807170836051, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [49, 1, [3], [1]], 'conrey_index': 1, 'cusp_dim': 20, 'dim': 14, 'eis_dim': 8, 'eis_new_dim': 5, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 100663345, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 2, 4], 'label': '49.6.a', 'level': 49, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7], 'level_radical': 7, 'mf_dim': 28, 'mf_new_dim': 19, 'num_forms': 7, 'plus_dim': 6, 'prim_orbit_index': 1, 'relative_dim': 14, 'sturm_bound': 28, 'trace_bound': 3, 'trace_display': [0, 20, 74, 0], 'traces': [14, 0, 20, 140, 74, 58, 0, 420, 490, -764, -1120, 2506, 490, 0, 560, 1204, -78, -5740, 3364, 1288, 0, 4004, -5208, -3186, 5138, -3416, 2312, 0, -8792, 14028, 7664, 16940, -16768, -23154, 0, -10052, -25340, 14230, 13384, -23376, 24010, 0, 11984, 7896, -7870, -6636, -21024, -21278, 0, -47236, -43960, -21924, -32256, 78508, 51896, 0, 69132, 79968, 46668, -108416, 39106, -91740, 0, 59724, 56028, -99296, 100184, 132090, 128928, 0, -50344, -22764, -85534, 23044, -40340, 19446, 0, 43008, -18704, 150016, 24766, -121282, -97020, 0, 202552, -112504, 111032, -126168, -33694, -67532, 0, -482328, 17948, -66228, 67424, -293986, 37730, 0, -401744, -148484, 117130, 117796, -103512, -91476, 0, 514724, 200536, -177044, 644, -43088, -34536, 0, 113708, -108220, -40944, 463232, -38206, 228846, 0, 73304, -290262, 684844, 102872, 381332, -208476, 0, -97776, 924980, -675488, -119504, 584756, 380128, 0, 281204, -415912, -587994, -1046500, 436992, -348292, 0, 538692, 306936, 547064, -850164, 179852, 752082, 0, -733208, 38416, -476002, -1217272, -44334, -505158, 0, 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4078144, -3398598, -907728, 0, 3237752, -9367540, 4288108, -5630408, -2615104, 661360, 0, -7630980, -1773366, -2855624, 11938360, -3325042, 299194, 0, -9875824, -133728, -825280, -7940156, -1418928, -2720914, 0, -1661268, -268352, 199422, -456344, -1418754, -489020, 0, 2380196, -487004, -171480, -878024, 2585370, 3298696, 0, 12240816, 6351072, 442812, -1645504, -1227040, 1304144, 0, 5640936, 774172, 81270, 9609180, 1281144, -6151194, 0, -5186580, -5464928, -2937186, -10078936, 5449948, -1933528, 0, -5043640, 2644040, 3209960, 13823264, 3685728, 6048214, 0, -3852520, 17671332, 2815952, -10525312, 8758372, -380534, 0, -5137664, -13657560, -10019206, 2343740, -1205616, 8925238, 0, 3732876, -7237048, 198000, -5661782, -5311712, -9314396, 0, 24921736, 12403804, 177008, -10831520, 1963570, 4633176, 0, 17537352, 1540672, -3198000, 7382760, 2234292, 745388, 0, -8298416, -18790800, 1618272, -12705252, 9766992, 3655710, 0, -20115116, 2695392, 1664138, 17911572, 303520, 2492016, 0, -24007732, 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21872956, 22857246, -133612472, -6534612, 91549346, 0, -130075064, -109967256, -10778510, 85562204, 56754096, -7827258, 0, 103687304, -143184608, 87924368, 70937748, -33428590, 14736024, 0, 135869580, 182588672, 29875712, -12174064, -50051392, 44162372, 0, 96790904, 7496594, 2242464, 167194104, -118401206, -12577868, 0, -68134080, -191905812, 12113616, -112924616, -80328132, -34097714, 0, -123510212, 74918984, -66148104, 154251916, -97722944, -83434696, 0, -161633304, 176562680, 37872120, -93825816, -32422564, -82732548, 0, -82572056, -211195712, 35995888, 115638096, 523740, 60032800, 0, 35277424, -28207536, -105781670, -167449716, 67057392, 77296224], 'weight': 6, 'weight_parity': 1}
• mf_twists_nf •

  Column	Type
  conductor	integer
  degree	integer
  multiplicity	smallint
  order	integer
  parity	smallint
  self_twist_disc	integer
  source_char_orbit	smallint
  source_dim	integer
  source_hecke_orbit	integer
  source_is_minimal	boolean
  source_label	text
  source_level	integer
  target_char_orbit	smallint
  target_dim	integer
  target_hecke_orbit	integer
  target_is_minimal	boolean
  target_label	text
  target_level	integer
  twist_class_label	text
  twist_class_level	integer
  twisting_char_label	text
  twisting_char_orbit	smallint
  weight	smallint

  
  
  • id: 40204
    {'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '49.6.a.b', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '49.6.a.b', 'target_level': 49, 'twist_class_label': '49.6.a.b', 'twist_class_level': 49, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 6}
  • id: 40205
    {'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -7, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '49.6.a.b', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '49.6.a.b', 'target_level': 49, 'twist_class_label': '49.6.a.b', 'twist_class_level': 49, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 6}
  • id: 40206
    {'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '49.6.a.b', 'source_level': 49, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '49.6.c.a', 'target_level': 49, 'twist_class_label': '49.6.a.b', 'twist_class_level': 49, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 6}
  • id: 40207
    {'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '49.6.a.b', 'source_level': 49, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '49.6.c.a', 'target_level': 49, 'twist_class_label': '49.6.a.b', 'twist_class_level': 49, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 6}
  • id: 40208
    {'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '49.6.a.b', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '441.6.a.a', 'target_level': 441, 'twist_class_label': '49.6.a.b', 'twist_class_level': 49, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 6}
  • id: 40209
    {'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '49.6.a.b', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '441.6.a.a', 'target_level': 441, 'twist_class_label': '49.6.a.b', 'twist_class_level': 49, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 6}
  • id: 40210
    {'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '49.6.a.b', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '784.6.a.g', 'target_level': 784, 'twist_class_label': '49.6.a.b', 'twist_class_level': 49, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 6}
  • id: 40211
    {'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '49.6.a.b', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '784.6.a.g', 'target_level': 784, 'twist_class_label': '49.6.a.b', 'twist_class_level': 49, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 6}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 164000
    {'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 4503599728033841, 'p': 2}
  • id: 164001
    {'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599728033841, 'p': 3}
  • id: 164002
    {'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599728033841, 'p': 5}
  • id: 164003
    {'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599728033841, 'p': 7}
  • id: 164004
    {'charpoly_factorization': [[[76, 1], 1]], 'hecke_orbit_code': 4503599728033841, 'p': 11}
  • id: 164005
    {'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599728033841, 'p': 13}
  • id: 164006
    {'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599728033841, 'p': 17}
  • id: 164007
    {'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599728033841, 'p': 19}
  • id: 164008
    {'charpoly_factorization': [[[4952, 1], 1]], 'hecke_orbit_code': 4503599728033841, 'p': 23}
  • id: 164009
    {'charpoly_factorization': [[[-7282, 1], 1]], 'hecke_orbit_code': 4503599728033841, 'p': 29}
  • id: 164010
    {'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599728033841, 'p': 31}
  • id: 164011
    {'charpoly_factorization': [[[8886, 1], 1]], 'hecke_orbit_code': 4503599728033841, 'p': 37}
  • id: 164012
    {'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599728033841, 'p': 41}
  • id: 164013
    {'charpoly_factorization': [[[-11748, 1], 1]], 'hecke_orbit_code': 4503599728033841, 'p': 43}
  • id: 164014
    {'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599728033841, 'p': 47}
  • id: 164015
    {'charpoly_factorization': [[[-24550, 1], 1]], 'hecke_orbit_code': 4503599728033841, 'p': 53}
  • id: 164016
    {'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599728033841, 'p': 59}
  • id: 164017
    {'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599728033841, 'p': 61}
  • id: 164018
    {'charpoly_factorization': [[[-69364, 1], 1]], 'hecke_orbit_code': 4503599728033841, 'p': 67}
  • id: 164019
    {'charpoly_factorization': [[[2224, 1], 1]], 'hecke_orbit_code': 4503599728033841, 'p': 71}
  • id: 164020
    {'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599728033841, 'p': 73}
  • id: 164021
    {'charpoly_factorization': [[[-80168, 1], 1]], 'hecke_orbit_code': 4503599728033841, 'p': 79}
  • id: 164022
    {'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599728033841, 'p': 83}
  • id: 164023
    {'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599728033841, 'p': 89}
  • id: 164024
    {'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599728033841, 'p': 97}
• mf_newform_portraits •

  Column	Type
  char_orbit_index	smallint
  hecke_orbit	integer
  label	text
  level	integer
  portrait	text
  weight	smallint

  
  {'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '49.6.a.b', 'level': 49, 'portrait': 'data:image/png;base64,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', 'weight': 6}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 19248930
    {'hecke_orbit_code': 4503599728033841, 'n': 1, 'trace_an': 1}
  • id: 19248931
    {'hecke_orbit_code': 4503599728033841, 'n': 2, 'trace_an': 11}
  • id: 19248932
    {'hecke_orbit_code': 4503599728033841, 'n': 3, 'trace_an': 0}
  • id: 19248933
    {'hecke_orbit_code': 4503599728033841, 'n': 4, 'trace_an': 89}
  • id: 19248934
    {'hecke_orbit_code': 4503599728033841, 'n': 5, 'trace_an': 0}
  • id: 19248935
    {'hecke_orbit_code': 4503599728033841, 'n': 6, 'trace_an': 0}
  • id: 19248936
    {'hecke_orbit_code': 4503599728033841, 'n': 7, 'trace_an': 0}
  • id: 19248937
    {'hecke_orbit_code': 4503599728033841, 'n': 8, 'trace_an': 627}
  • id: 19248938
    {'hecke_orbit_code': 4503599728033841, 'n': 9, 'trace_an': -243}
  • id: 19248939
    {'hecke_orbit_code': 4503599728033841, 'n': 10, 'trace_an': 0}
  • id: 19248940
    {'hecke_orbit_code': 4503599728033841, 'n': 11, 'trace_an': -76}
  • id: 19248941
    {'hecke_orbit_code': 4503599728033841, 'n': 12, 'trace_an': 0}
  • id: 19248942
    {'hecke_orbit_code': 4503599728033841, 'n': 13, 'trace_an': 0}
  • id: 19248943
    {'hecke_orbit_code': 4503599728033841, 'n': 14, 'trace_an': 0}
  • id: 19248944
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