Newform data - 27.6.a.c

Formats: - HTML - YAML - JSON - 2025-04-25T12:06:34.423262

• 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': 972, 'analytic_conductor': 4.330363134950477, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -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': [27, 1, [2], [1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 24, 'field_disc_factorization': [[2, 3], [3, 1]], 'field_poly': [-6, 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': 1, 'hecke_cutters': [[2, [-54, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199355404315, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '27.6.a.c', 'level': 27, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '27.6.a.c', 'nf_label': '2.2.24.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{2}+22q^{4}+8\\beta q^{5}+167q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '5.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '27.6.a', 'trace_display': [0, 0, 0, 334], 'trace_hash': 957298310773117453, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.030', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.911', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.474', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.958', 'prec': 20}, {'__RealLiteral__': 0, 'data': '5.499', 'prec': 17}, {'__RealLiteral__': 0, 'data': '148.502', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.509', 'prec': 17}, 'traces': [2, 0, 0, 44, 0, 0, 334, 0, 0, 864, 0, 0, -470, 0, 0, -2488, 0, 0, 2722, 0, 0, -11232, 0, 0, 662, 0, 0, 7348, 0, 0, 7000, 0, 0, 2592, 0, 0, 26230, 0, 0, -8640, 0, 0, 208, 0, 0, -35424, 0, 0, 22164, 0, 0, -10340, 0, 0, -89856, 0, 0, 6912, 0, 0, -14786, 0, 0, -20176, 0, 0, 77722, 0, 0, 144288, 0, 0, 10930, 0, 0, 59884, 0, 0, -165806, 0, 0, 138240, 0, 0, 20736, 0, 0, 112320, 0, 0, -78490, 0, 0, -301536, 0, 0, -99206, 0, 0, 14564, 0, 0, -189866, 0, 0, -15552, 0, 0, 249700, 0, 0, -415496, 0, 0, -283392, 0, 0, 451872, 0, 0, 846026, 0, 0, 154000, 0, 0, -140216, 0, 0, -203040, 0, 0, 454574, 0, 0, -25920, 0, 0, -301826, 0, 0, -36288, 0, 0, 55296, 0, 0, 577060, 0, 0, 258922, 0, 0, -1875744, 0, 0, 515644, 0, 0, -798336, 0, 0, -263138, 0, 0, -195264, 0, 0, -632136, 0, 0, 4576, 0, 0, 110554, 0, 0, 1319328, 0, 0, 330610, 0, 0, 354240, 0, 0, -269568, 0, 0, 1175904, 0, 0, -503570, 0, 0, 487608, 0, 0, -672314, 0, 0, 2039040, 0, 0, 1105920, 0, 0, 584680, 0, 0, -1643114, 0, 0, -2480544, 0, 0, 1169000, 0, 0, -1976832, 0, 0, 1340776, 0, 0, 2535840, 0, 0, -2865548, 0, 0, -69120, 0, 0, -2412288, 0, 0, 432864, 0, 0, -3103838, 0, 0, -325292, 0, 0, -639670, 0, 0, -2414016, 0, 0, 3684096, 0, 0, 2749472, 0, 0, 4380410, 0, 0, -2049408, 0, 0, -124416, 0, 0, 1709884, 0, 0, 492106, 0, 0, 139104, 0, 0, -694700, 0, 0, -1442880, 0, 0, 4116544, 0, 0, 2639520, 0, 0, -2777506, 0, 0, 240460, 0, 0, 3614976, 0, 0, -3392064, 0, 0, 34736, 0, 0, -3386168, 0, 0, 1805152, 0, 0, 3024000, 0, 0, -5519834, 0, 0, -3647732, 0, 0, -718848, 0, 0, -5915808, 0, 0, -155570, 0, 0, -1382400, 0, 0, 6744718, 0, 0, -3778272, 0, 0, -721046, 0, 0, 456192, 0, 0, -1912150, 0, 0, -2460672, 0, 0, 1355158, 0, 0, 10378368, 0, 0, -290304, 0, 0, 5717952, 0, 0, -1247556, 0, 0, -1726780, 0, 0, -2339018, 0, 0, 11331360, 0, 0, 5053318, 0, 0, 3015360, 0, 0, 438538, 0, 0, -5055264, 0, 0, -15005952, 0, 0, -2182532, 0, 0, -850176, 0, 0, 12065760, 0, 0, 8862556, 0, 0, -823528, 0, 0, -1645000, 0, 0, 1154304, 0, 0, -3436094, 0, 0, -4177052, 0, 0, -1562112, 0, 0, -15286752, 0, 0, -11364038, 0, 0, 155520, 0, 0, -2469262, 0, 0, 89856, 0, 0, -9452156, 0, 0, 5493400, 0, 0, 12244456, 0, 0, -609120, 0, 0, 10554624, 0, 0, -3369392, 0, 0, -14376960, 0, 0, 12640320, 0, 0, 1366444, 0, 0, -6234624, 0, 0, 10081726, 0, 0, 5982336, 0, 0, 12979574, 0, 0, -4518720, 0, 0, 900982, 0, 0, 1698624, 0, 0, -6164050, 0, 0, 18612572, 0, 0, -4996130, 0, 0, 9574848, 0, 0, 165888, 0, 0, -8708000, 0, 0, 8395072, 0, 0, -25017984, 0, 0, 16312320, 0, 0, -3084752, 0, 0, 1825310, 0, 0, -20312640, 0, 0, 31359744, 0, 0, 2030400, 0, 0, -21525062, 0, 0, -23761728, 0, 0, -1253614, 0, 0, 10000628, 0, 0, -19844352, 0, 0, -5979744, 0, 0, 14996506, 0, 0, -2395008, 0, 0, -7265906, 0, 0, -3717792, 0, 0, -27689602, 0, 0, -6640172, 0, 0, -48880, 0, 0, 8985600, 0, 0, 20286720, 0, 0, 362880, 0, 0, -7843790, 0, 0, 23086080, 0, 0, 21406774, 0, 0, 1216512, 0, 0, 1617408, 0, 0, 33339168, 0, 0, 9527000, 0, 0, -32630120, 0, 0, 3462912, 0, 0, 8324640, 0, 0, -13289228, 0, 0, 5696284, 0, 0, -13450898, 0, 0, -6387552, 0, 0, 6072862, 0, 0, 18757440, 0, 0, 24200722, 0, 0, 21452256, 0, 0, -21380878, 0, 0, 11344168, 0, 0, -12340742, 0, 0, 250560, 0, 0, -5208540, 0, 0, 16830720, 0, 0, -20155664, 0, 0, 3527712, 0, 0, -46994688, 0, 0, -5789036, 0, 0, -16395264, 0, 0, -50356512, 0, 0, 10421854, 0, 0, 1952640, 0, 0, -2267136, 0, 0, 33575904, 0, 0, 32080726, 0, 0, -13906992, 0, 0, -16567402, 0, 0, -39312000, 0, 0, 1112832, 0, 0, -258752, 0, 0, -20383280, 0, 0, -21193920, 0, 0, 3317760, 0, 0, 2432188, 0, 0, 35699030, 0, 0, 56507328, 0, 0, 29894410, 0, 0, -13193280, 0, 0, 21116160, 0, 0, 20090592, 0, 0, -31707622, 0, 0, 7273420, 0, 0, -5822792, 0, 0, 4721760, 0, 0, 13564996, 0, 0, 32731776, 0, 0, 30517600, 0, 0, -2597184, 0, 0, -27136512, 0, 0, -5930496, 0, 0, -32475710, 0, 0, -1624320, 0, 0, 18341914, 0, 0, -11759040, 0, 0, 41699900, 0, 0, -877824, 0, 0, 18766366, 0, 0, -11078540, 0, 0, 2317000, 0, 0, -39777696, 0, 0, 3773952, 0, 0, -27572016, 0, 0, 60820018, 0, 0, -71628192, 0, 0, 3474710, 0, 0, -14790908, 0, 0, -7236864, 0, 0, 34917696, 0, 0, -47326464, 0, 0, -20390400, 0, 0, -31202384, 0, 0, -147307680, 0, 0, 283088, 0, 0, 24330240, 0, 0, 44305882, 0, 0, 75462624, 0, 0, -46366862, 0, 0, 4741360, 0, 0, -30226176, 0, 0, 78574752, 0, 0, -40579930, 0, 0, -36148508, 0, 0, 141286342, 0, 0, 857952, 0, 0, -842138, 0, 0, 24805440, 0, 0, 40305814, 0, 0, -33786720, 0, 0, -19685376, 0, 0, 25718000, 0, 0, -18264670, 0, 0, -48212064, 0, 0, -44228522, 0, 0, 111780864, 0, 0, -42408338, 0, 0, 98238528, 0, 0, -23416072, 0, 0, 29497072, 0, 0, 45743616, 0, 0, 73734624, 0, 0, -373248, 0, 0, -25358400, 0, 0, -20551382, 0, 0, -33907680, 0, 0, 20307456, 0, 0, -63042056, 0, 0, -3317000, 0, 0, -74090592, 0, 0, 8682130, 0, 0, -6386688, 0, 0, 30165204, 0, 0, 119390112, 0, 0, -77221274, 0, 0, -53070336, 0, 0, -45342720, 0, 0, -1168128, 0, 0, -2568550, 0, 0, -4328640, 0, 0, -40442112, 0, 0, 97108416, 0, 0, -32758302, 0, 0, -68284436, 0, 0, -22785086, 0, 0, -42856992, 0, 0, -50404942, 0, 0, 18393784, 0, 0, -137210112, 0, 0, -83793312, 0, 0, 96526080, 0, 0, -14072740, 0, 0, 47638390, 0, 0, -6060096, 0, 0, 75724876, 0, 0, 24140160], '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, 0], [0, 1], [0, 0], [22, 0], [0, 8], [0, 0], [167, 0], [0, -10], [0, 0], [432, 0], [0, -104], [0, 0], [-235, 0], [0, 167], [0, 0], [-1244, 0], [0, 24], [0, 0], [1361, 0], [0, 176], [0, 0], [-5616, 0], [0, -328], [0, 0], [331, 0], [0, -235], [0, 0], [3674, 0], [0, 64], [0, 0], [3500, 0], [0, -924], [0, 0], [1296, 0], [0, 1336], [0, 0], [13115, 0], [0, 1361], [0, 0], [-4320, 0], [0, 1280], [0, 0], [104, 0], [0, -2288], [0, 0], [-17712, 0], [0, -2792], [0, 0], [11082, 0], [0, 331], [0, 0], [-5170, 0], [0, -144], [0, 0], [-44928, 0], [0, -1670], [0, 0], [3456, 0], [0, 4184], [0, 0], [-7393, 0], [0, 3500], [0, 0], [-10088, 0], [0, -1880], [0, 0], [38861, 0], [0, 528], [0, 0], [72144, 0], [0, -336], [0, 0], [5465, 0], [0, 13115], [0, 0], [29942, 0], [0, -17368], [0, 0], [-82903, 0], [0, -9952], [0, 0], [69120, 0], [0, -1808], [0, 0], [10368, 0], [0, 104], [0, 0], [56160, 0], [0, 12216], [0, 0], [-39245, 0], [0, -7216], [0, 0], [-150768, 0], [0, 10888], [0, 0], [-49603, 0], [0, 11082], [0, 0], [7282, 0]], 'ap': [[0, 1], [0, 0], [0, 8], [167, 0], [0, -104], [-235, 0], [0, 24], [1361, 0], [0, -328], [0, 64], [3500, 0], [13115, 0], [0, 1280], [104, 0], [0, -2792], [0, -144], [0, 4184], [-7393, 0], [38861, 0], [0, -336], [5465, 0], [-82903, 0], [0, -1808], [0, 12216], [-49603, 0], [0, 18880], [-94933, 0], [0, -22968], [124850, 0], [0, 23480], [-70108, 0], [0, -18976], [0, 1288], [-150913, 0], [0, -31408], [129461, 0], [257822, 0], [-131569, 0], [0, -34984], [0, -22784], [0, 52944], [165305, 0], [0, -46808], [-251785, 0], [0, 111720], [-336157, 0], [-821557, 0], [670388, 0], [0, 117040], [-1432774, 0], [0, 55392], [0, 15728], [-1551919, 0], [0, -231648], [0, -188080], [0, -220016], [0, -55368], [246053, 0], [-347350, 0], [0, 83200], [2058272, 0], [0, 308696], [902576, 0], [0, 198632], [-2759917, 0], [0, 2320], [3372359, 0], [-360523, 0], [0, -196240], [677579, 0], [0, 523216], [0, 186024], [-1169509, 0], [2526659, 0], [219269, 0], [0, -8128], [0, -368312], [4431278, 0], [0, 323312], [-1718047, 0], [0, 727544], [-5682019, 0], [0, -312840], [-4726078, 0], [6122228, 0], [0, 909616], [0, 682728], [683222, 0], [0, -686024], [5040863, 0], [0, 1105464], [0, 899152], [-2498065, 0], [0, -775864], [4197536, 0], [0, 731832], [0, 592808], [0, -584664], [-10762531, 0], [7498253, 0], [-3632953, 0], [0, -969096], [0, -465088], [0, -739880], [-3921895, 0], [10703387, 0], [0, 407464], [0, -796464], [0, -262720], [-6644614, 0], [-6725449, 0], [3036431, 0], [0, 807656], [12100361, 0], [-6170371, 0], [0, -1544240], [-10077832, 0], [0, -962496], [0, -2514448], [0, -2094224], [5210927, 0], [16040363, 0], [0, 2025064], [0, 765984], [-10191640, 0], [0, 3259512], [14947205, 0], [0, -3560880], [-2911396, 0], [6782498, 0], [15258800, 0], [0, 267896], [-16237855, 0], [9170957, 0], [0, -3146536], [9383183, 0], [0, -12144], [30410009, 0], [0, 332768], [0, 2872368], [-15601192, 0], [0, 550696], [22152941, 0], [0, 2344056], [-23183431, 0], [0, 1459792], [-421069, 0], [0, 3700528], [20152907, 0], [0, -2559528], [-22114261, 0], [0, 1365864], [-21204169, 0], [0, -2361136], [-10275691, 0], [0, 5371360], [-1658500, 0], [0, -633488], [-38610637, 0], [0, -4279144], [0, -1271384], [0, -666600], [-11392543, 0], [0, -2019384], [0, -3446704], [0, 4748008], [23819195, 0], [37862438, 0]], 'char_orbit_index': 1, 'field_poly': [-6, 0, 1], 'hecke_orbit_code': 9007199355404315, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 3], 'hecke_ring_inverse_numerators': [[1, 0], [0, 1]], 'hecke_ring_numerators': [[1, 0], [0, 3]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '27.6.a.c', 'level': 27, 'maxp': 997, 'weight': 6}
• 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

  
  {'ALdims': [3, 4], 'Nk2': 972, 'analytic_conductor': 4.330363134950477, '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': [27, 1, [2], [1]], 'conrey_index': 1, 'cusp_dim': 12, 'dim': 7, 'eis_dim': 6, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 100663323, 'hecke_orbit_dims': [1, 2, 2, 2], 'label': '27.6.a', 'level': 27, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 18, 'mf_new_dim': 7, 'num_forms': 4, 'plus_dim': 3, 'prim_orbit_index': 1, 'relative_dim': 7, 'sturm_bound': 18, 'trace_bound': 2, 'trace_display': [0, 0, 0, 107], 'traces': [7, 0, 0, 118, 0, 0, 107, 0, 0, -18, 0, 0, -2653, 0, 0, 6250, 0, 0, 185, 0, 0, -11430, 0, 0, 5521, 0, 0, -11110, 0, 0, -5452, 0, 0, 30240, 0, 0, 34349, 0, 0, -16182, 0, 0, -1576, 0, 0, -41868, 0, 0, 32286, 0, 0, -121996, 0, 0, -3312, 0, 0, 143388, 0, 0, -132895, 0, 0, 56338, 0, 0, 66845, 0, 0, 172602, 0, 0, 27239, 0, 0, -42496, 0, 0, -255331, 0, 0, -126972, 0, 0, -220752, 0, 0, 274518, 0, 0, 288955, 0, 0, 195660, 0, 0, 197387, 0, 0, -665300, 0, 0, -210265, 0, 0, 358506, 0, 0, 686894, 0, 0, -1182922, 0, 0, -224784, 0, 0, -318024, 0, 0, 469927, 0, 0, 1146770, 0, 0, -479524, 0, 0, 206568, 0, 0, -483311, 0, 0, 1011744, 0, 0, -395089, 0, 0, -1154304, 0, 0, 673416, 0, 0, 2857880, 0, 0, 97433, 0, 0, -2197170, 0, 0, -205270, 0, 0, -2518182, 0, 0, -76585, 0, 0, -2119590, 0, 0, -599208, 0, 0, 2284988, 0, 0, 2720873, 0, 0, 2562732, 0, 0, -1581745, 0, 0, 117036, 0, 0, -979344, 0, 0, 2279628, 0, 0, -1896343, 0, 0, -667140, 0, 0, -166369, 0, 0, 1958706, 0, 0, 4679496, 0, 0, -5006272, 0, 0, -673909, 0, 0, -4731534, 0, 0, 1918288, 0, 0, -4863690, 0, 0, 1818908, 0, 0, 5683428, 0, 0, -738106, 0, 0, 8673300, 0, 0, -7203456, 0, 0, -2057184, 0, 0, -1738117, 0, 0, 788036, 0, 0, -2265863, 0, 0, -426798, 0, 0, 3861144, 0, 0, 5075938, 0, 0, 3420637, 0, 0, -359550, 0, 0, -3130164, 0, 0, -10262872, 0, 0, -4122751, 0, 0, 138204, 0, 0, -1932418, 0, 0, 3916278, 0, 0, 13730384, 0, 0, 1420344, 0, 0, -5511863, 0, 0, 1673894, 0, 0, 408096, 0, 0, 6791886, 0, 0, -3527456, 0, 0, -7998580, 0, 0, 4069472, 0, 0, 2774430, 0, 0, 1776509, 0, 0, -6984580, 0, 0, 4828320, 0, 0, -5344740, 0, 0, 7387457, 0, 0, -8821908, 0, 0, -1488025, 0, 0, -12433356, 0, 0, -6654049, 0, 0, 897696, 0, 0, -4270823, 0, 0, 6396966, 0, 0, 3923189, 0, 0, 8189478, 0, 0, 3786480, 0, 0, 9243342, 0, 0, 6100590, 0, 0, 7565548, 0, 0, -7399009, 0, 0, 5873436, 0, 0, -11022307, 0, 0, 20778804, 0, 0, -7319011, 0, 0, -14777784, 0, 0, -4991580, 0, 0, -10624846, 0, 0, -1886112, 0, 0, 15149322, 0, 0, 14195786, 0, 0, -9446624, 0, 0, 1354804, 0, 0, -18377676, 0, 0, -3345865, 0, 0, 9495260, 0, 0, 1109520, 0, 0, -13072284, 0, 0, -18494173, 0, 0, 14717214, 0, 0, -4553735, 0, 0, -2387484, 0, 0, 9653594, 0, 0, 29714924, 0, 0, 3116204, 0, 0, -19859040, 0, 0, -7688088, 0, 0, -16448626, 0, 0, -1282896, 0, 0, 41127336, 0, 0, 11963870, 0, 0, -6416532, 0, 0, 41374667, 0, 0, -13612428, 0, 0, 12586213, 0, 0, -53276760, 0, 0, -32155453, 0, 0, 18701532, 0, 0, -16736171, 0, 0, -4933976, 0, 0, -12443341, 0, 0, 13255596, 0, 0, 7230816, 0, 0, -8288950, 0, 0, 19185248, 0, 0, -15455232, 0, 0, 22912668, 0, 0, 22212794, 0, 0, 25070731, 0, 0, -23808456, 0, 0, 16353432, 0, 0, 26001144, 0, 0, -16440187, 0, 0, -36795420, 0, 0, -33189233, 0, 0, 58543552, 0, 0, -23972112, 0, 0, -6676020, 0, 0, -18615109, 0, 0, 42703200, 0, 0, -7859809, 0, 0, -17001720, 0, 0, -28547699, 0, 0, -20444212, 0, 0, -15055784, 0, 0, -12096144, 0, 0, 53277768, 0, 0, -52974432, 0, 0, 8300153, 0, 0, 41943276, 0, 0, 31896833, 0, 0, -58149324, 0, 0, -6678288, 0, 0, 79155396, 0, 0, -11274044, 0, 0, 23202332, 0, 0, -9253008, 0, 0, 12774096, 0, 0, 16423802, 0, 0, -72368554, 0, 0, -33165133, 0, 0, 12447504, 0, 0, -9720031, 0, 0, 21107754, 0, 0, 52582265, 0, 0, 99917748, 0, 0, 19623511, 0, 0, -28227520, 0, 0, -14640367, 0, 0, -32958126, 0, 0, -22080810, 0, 0, 37991034, 0, 0, 12812456, 0, 0, -21455712, 0, 0, -76887216, 0, 0, -36743524, 0, 0, -9706320, 0, 0, -93341340, 0, 0, 43364801, 0, 0, -98542026, 0, 0, -3760416, 0, 0, 59561748, 0, 0, 45674477, 0, 0, 43347054, 0, 0, 28892119, 0, 0, -29862342, 0, 0, 54962856, 0, 0, 44096204, 0, 0, -51144328, 0, 0, 50495814, 0, 0, -48609504, 0, 0, -12474892, 0, 0, -3107537, 0, 0, -13316868, 0, 0, 7125947, 0, 0, 18708516, 0, 0, 32094864, 0, 0, 32629284, 0, 0, -82918745, 0, 0, 83830412, 0, 0, 46405988, 0, 0, -12532194, 0, 0, 22752254, 0, 0, 22169484, 0, 0, 29250752, 0, 0, -37331442, 0, 0, -69897852, 0, 0, 30880224, 0, 0, -116632267, 0, 0, -125608176, 0, 0, 15771659, 0, 0, -33023340, 0, 0, -22412810, 0, 0, -23379696, 0, 0, 84208241, 0, 0, 164235302, 0, 0, -27171508, 0, 0, 57119166, 0, 0, 4033584, 0, 0, -28955004, 0, 0, 17077313, 0, 0, -49350960, 0, 0, 27409537, 0, 0, -24237106, 0, 0, 74845728, 0, 0, -41254344, 0, 0, -44090856, 0, 0, -11608074, 0, 0, 81666104, 0, 0, -128865996, 0, 0, 13100344, 0, 0, -22646772, 0, 0, 11446049, 0, 0, 184527144, 0, 0, -94088929, 0, 0, -86555320, 0, 0, -6491808, 0, 0, -27323208, 0, 0, 11208277, 0, 0, 55413512, 0, 0, 222131111, 0, 0, -39134880, 0, 0, -50473675, 0, 0, -107254530, 0, 0, -87914797, 0, 0, -112007772, 0, 0, 21966804, 0, 0, -71549186, 0, 0, 13573933, 0, 0, -42333336, 0, 0, 40696229, 0, 0, 169895214, 0, 0, -69294721, 0, 0, 208549800, 0, 0, -4096856, 0, 0, 53132288, 0, 0, -99621360, 0, 0, 89356716, 0, 0, 56589840, 0, 0, 213741036, 0, 0, -117953587, 0, 0, -87993288, 0, 0, -972252, 0, 0, -303230044, 0, 0, 17013956, 0, 0, -50657058, 0, 0, -43443577, 0, 0, 176403636, 0, 0, 144630402, 0, 0, 231643530, 0, 0, -106542139, 0, 0, -29882700, 0, 0, -32891328, 0, 0, 26465004, 0, 0, 53291875, 0, 0, -166713120, 0, 0, 114193296, 0, 0, 20851308, 0, 0, -26496933, 0, 0, -134766616, 0, 0, -146894515, 0, 0, -98974638, 0, 0, -92877281, 0, 0, -126201400, 0, 0, -206042400, 0, 0, -208910034, 0, 0, 198345132, 0, 0, 173765356, 0, 0, -52863601, 0, 0, 117384768, 0, 0, -2427886, 0, 0, 245814678], '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: 22055
    {'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '27.6.a.c', 'source_level': 27, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '27.6.a.c', 'target_level': 27, 'twist_class_label': '27.6.a.c', 'twist_class_level': 27, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 6}
  • id: 22056
    {'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '27.6.a.c', 'source_level': 27, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '27.6.a.c', 'target_level': 27, 'twist_class_label': '27.6.a.c', 'twist_class_level': 27, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 6}
  • id: 22057
    {'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '27.6.a.c', 'source_level': 27, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '81.6.c.f', 'target_level': 81, 'twist_class_label': '27.6.a.c', 'twist_class_level': 27, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 6}
  • id: 22058
    {'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '27.6.a.c', 'source_level': 27, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '81.6.c.f', 'target_level': 81, 'twist_class_label': '27.6.a.c', 'twist_class_level': 27, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 6}
  • id: 22059
    {'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '27.6.a.c', 'source_level': 27, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '432.6.a.o', 'target_level': 432, 'twist_class_label': '27.6.a.c', 'twist_class_level': 27, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 6}
  • id: 22060
    {'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '27.6.a.c', 'source_level': 27, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '432.6.a.o', 'target_level': 432, 'twist_class_label': '27.6.a.c', 'twist_class_level': 27, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 6}
  • id: 22061
    {'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '27.6.a.c', 'source_level': 27, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '675.6.a.j', 'target_level': 675, 'twist_class_label': '27.6.a.c', 'twist_class_level': 27, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 6}
  • id: 22062
    {'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '27.6.a.c', 'source_level': 27, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '675.6.a.j', 'target_level': 675, 'twist_class_label': '27.6.a.c', 'twist_class_level': 27, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 6}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 103125
    {'charpoly_factorization': [[[-54, 0, 1], 1]], 'hecke_orbit_code': 9007199355404315, 'p': 2}
  • id: 103126
    {'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007199355404315, 'p': 3}
  • id: 103127
    {'charpoly_factorization': [[[-3456, 0, 1], 1]], 'hecke_orbit_code': 9007199355404315, 'p': 5}
  • id: 103128
    {'charpoly_factorization': [[[-167, 1], 2]], 'hecke_orbit_code': 9007199355404315, 'p': 7}
  • id: 103129
    {'charpoly_factorization': [[[-584064, 0, 1], 1]], 'hecke_orbit_code': 9007199355404315, 'p': 11}
  • id: 103130
    {'charpoly_factorization': [[[235, 1], 2]], 'hecke_orbit_code': 9007199355404315, 'p': 13}
  • id: 103131
    {'charpoly_factorization': [[[-31104, 0, 1], 1]], 'hecke_orbit_code': 9007199355404315, 'p': 17}
  • id: 103132
    {'charpoly_factorization': [[[-1361, 1], 2]], 'hecke_orbit_code': 9007199355404315, 'p': 19}
  • id: 103133
    {'charpoly_factorization': [[[-5809536, 0, 1], 1]], 'hecke_orbit_code': 9007199355404315, 'p': 23}
  • id: 103134
    {'charpoly_factorization': [[[-221184, 0, 1], 1]], 'hecke_orbit_code': 9007199355404315, 'p': 29}
  • id: 103135
    {'charpoly_factorization': [[[-3500, 1], 2]], 'hecke_orbit_code': 9007199355404315, 'p': 31}
  • id: 103136
    {'charpoly_factorization': [[[-13115, 1], 2]], 'hecke_orbit_code': 9007199355404315, 'p': 37}
  • id: 103137
    {'charpoly_factorization': [[[-88473600, 0, 1], 1]], 'hecke_orbit_code': 9007199355404315, 'p': 41}
  • id: 103138
    {'charpoly_factorization': [[[-104, 1], 2]], 'hecke_orbit_code': 9007199355404315, 'p': 43}
  • id: 103139
    {'charpoly_factorization': [[[-420944256, 0, 1], 1]], 'hecke_orbit_code': 9007199355404315, 'p': 47}
  • id: 103140
    {'charpoly_factorization': [[[-1119744, 0, 1], 1]], 'hecke_orbit_code': 9007199355404315, 'p': 53}
  • id: 103141
    {'charpoly_factorization': [[[-945316224, 0, 1], 1]], 'hecke_orbit_code': 9007199355404315, 'p': 59}
  • id: 103142
    {'charpoly_factorization': [[[7393, 1], 2]], 'hecke_orbit_code': 9007199355404315, 'p': 61}
  • id: 103143
    {'charpoly_factorization': [[[-38861, 1], 2]], 'hecke_orbit_code': 9007199355404315, 'p': 67}
  • id: 103144
    {'charpoly_factorization': [[[-6096384, 0, 1], 1]], 'hecke_orbit_code': 9007199355404315, 'p': 71}
  • id: 103145
    {'charpoly_factorization': [[[-5465, 1], 2]], 'hecke_orbit_code': 9007199355404315, 'p': 73}
  • id: 103146
    {'charpoly_factorization': [[[82903, 1], 2]], 'hecke_orbit_code': 9007199355404315, 'p': 79}
  • id: 103147
    {'charpoly_factorization': [[[-176518656, 0, 1], 1]], 'hecke_orbit_code': 9007199355404315, 'p': 83}
  • id: 103148
    {'charpoly_factorization': [[[-8058455424, 0, 1], 1]], 'hecke_orbit_code': 9007199355404315, 'p': 89}
  • id: 103149
    {'charpoly_factorization': [[[49603, 1], 2]], 'hecke_orbit_code': 9007199355404315, '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': 3, 'label': '27.6.a.c', 'level': 27, 'portrait': 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', 'weight': 6}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 28838185
    {'hecke_orbit_code': 9007199355404315, 'n': 1, 'trace_an': 2}
  • id: 28838186
    {'hecke_orbit_code': 9007199355404315, 'n': 2, 'trace_an': 0}
  • id: 28838187
    {'hecke_orbit_code': 9007199355404315, 'n': 3, 'trace_an': 0}
  • id: 28838188
    {'hecke_orbit_code': 9007199355404315, 'n': 4, 'trace_an': 44}
  • id: 28838189
    {'hecke_orbit_code': 9007199355404315, 'n': 5, 'trace_an': 0}
  • id: 28838190
    {'hecke_orbit_code': 9007199355404315, 'n': 6, 'trace_an': 0}
  • id: 28838191
    {'hecke_orbit_code': 9007199355404315, 'n': 7, 'trace_an': 334}
  • id: 28838192
    {'hecke_orbit_code': 9007199355404315, 'n': 8, 'trace_an': 0}
  • id: 28838193
    {'hecke_orbit_code': 9007199355404315, 'n': 9, 'trace_an': 0}
  • id: 28838194
    {'hecke_orbit_code': 9007199355404315, 'n': 10, 'trace_an': 864}
  • id: 28838195
    {'hecke_orbit_code': 9007199355404315, 'n': 11, 'trace_an': 0}
  • id: 28838196
    {'hecke_orbit_code': 9007199355404315, 'n': 12, 'trace_an': 0}
  • id: 28838197
    {'hecke_orbit_code': 9007199355404315, 'n': 13, 'trace_an': -470}
  • id: 28838198
    {'hecke_orbit_code': 9007199355404315, 'n': 14, 'trace_an': 0}
  • id: 28838199
    {'hecke_orbit_code': 9007199355404315, 'n': 15, 'trace_an': 0}
  • id: 28838200
    {'hecke_orbit_code': 9007199355404315, 'n': 16, 'trace_an': -2488}
  • id: 28838201
    {'hecke_orbit_code': 9007199355404315, 'n': 17, 'trace_an': 0}
  • id: 28838202
    {'hecke_orbit_code': 9007199355404315, 'n': 18, 'trace_an': 0}
  • id: 28838203
    {'hecke_orbit_code': 9007199355404315, 'n': 19, 'trace_an': 2722}
  • id: 28838204
    {'hecke_orbit_code': 9007199355404315, 'n': 20, 'trace_an': 0}
  • id: 28838205
    {'hecke_orbit_code': 9007199355404315, 'n': 21, 'trace_an': 0}
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  • id: 28838404
    {'hecke_orbit_code': 9007199355404315, 'n': 743, 'trace_an': 0}
  • id: 28838405
    {'hecke_orbit_code': 9007199355404315, 'n': 751, 'trace_an': -32475710}
  • id: 28838406
    {'hecke_orbit_code': 9007199355404315, 'n': 757, 'trace_an': 18341914}
  • id: 28838407
    {'hecke_orbit_code': 9007199355404315, 'n': 761, 'trace_an': 0}
  • id: 28838408
    {'hecke_orbit_code': 9007199355404315, 'n': 769, 'trace_an': 18766366}
  • id: 28838409
    {'hecke_orbit_code': 9007199355404315, 'n': 773, 'trace_an': 0}
  • id: 28838410
    {'hecke_orbit_code': 9007199355404315, 'n': 787, 'trace_an': 60820018}
  • id: 28838411
    {'hecke_orbit_code': 9007199355404315, 'n': 797, 'trace_an': 0}
  • id: 28838412
    {'hecke_orbit_code': 9007199355404315, 'n': 809, 'trace_an': 0}
  • id: 28838413
    {'hecke_orbit_code': 9007199355404315, 'n': 811, 'trace_an': -31202384}
  • id: 28838414
    {'hecke_orbit_code': 9007199355404315, 'n': 821, 'trace_an': 0}
  • id: 28838415
    {'hecke_orbit_code': 9007199355404315, 'n': 823, 'trace_an': 44305882}
  • id: 28838416
    {'hecke_orbit_code': 9007199355404315, 'n': 827, 'trace_an': 0}
  • id: 28838417
    {'hecke_orbit_code': 9007199355404315, 'n': 829, 'trace_an': -46366862}
  • id: 28838418
    {'hecke_orbit_code': 9007199355404315, 'n': 839, 'trace_an': 0}
  • id: 28838419
    {'hecke_orbit_code': 9007199355404315, 'n': 841, 'trace_an': -40579930}
  • id: 28838420
    {'hecke_orbit_code': 9007199355404315, 'n': 853, 'trace_an': -842138}
  • id: 28838421
    {'hecke_orbit_code': 9007199355404315, 'n': 857, 'trace_an': 0}
  • id: 28838422
    {'hecke_orbit_code': 9007199355404315, 'n': 859, 'trace_an': 40305814}
  • id: 28838423
    {'hecke_orbit_code': 9007199355404315, 'n': 863, 'trace_an': 0}
  • id: 28838424
    {'hecke_orbit_code': 9007199355404315, 'n': 877, 'trace_an': -44228522}
  • id: 28838425
    {'hecke_orbit_code': 9007199355404315, 'n': 881, 'trace_an': 0}
  • id: 28838426
    {'hecke_orbit_code': 9007199355404315, 'n': 883, 'trace_an': -42408338}
  • id: 28838427
    {'hecke_orbit_code': 9007199355404315, 'n': 887, 'trace_an': 0}
  • id: 28838428
    {'hecke_orbit_code': 9007199355404315, 'n': 907, 'trace_an': -20551382}
  • id: 28838429
    {'hecke_orbit_code': 9007199355404315, 'n': 911, 'trace_an': 0}
  • id: 28838430
    {'hecke_orbit_code': 9007199355404315, 'n': 919, 'trace_an': -3317000}
  • id: 28838431
    {'hecke_orbit_code': 9007199355404315, 'n': 929, 'trace_an': 0}
  • id: 28838432
    {'hecke_orbit_code': 9007199355404315, 'n': 937, 'trace_an': -77221274}
  • id: 28838433
    {'hecke_orbit_code': 9007199355404315, 'n': 941, 'trace_an': 0}
  • id: 28838434
    {'hecke_orbit_code': 9007199355404315, 'n': 947, 'trace_an': 0}
  • id: 28838435
    {'hecke_orbit_code': 9007199355404315, 'n': 953, 'trace_an': 0}
  • id: 28838436
    {'hecke_orbit_code': 9007199355404315, 'n': 961, 'trace_an': -32758302}
  • id: 28838437
    {'hecke_orbit_code': 9007199355404315, 'n': 967, 'trace_an': -22785086}
  • id: 28838438
    {'hecke_orbit_code': 9007199355404315, 'n': 971, 'trace_an': 0}
  • id: 28838439
    {'hecke_orbit_code': 9007199355404315, 'n': 977, 'trace_an': 0}
  • id: 28838440
    {'hecke_orbit_code': 9007199355404315, 'n': 983, 'trace_an': 0}
  • id: 28838441
    {'hecke_orbit_code': 9007199355404315, 'n': 991, 'trace_an': 47638390}
  • id: 28838442
    {'hecke_orbit_code': 9007199355404315, 'n': 997, 'trace_an': 75724876}