Newform data - 9.12.a.b

Formats: - HTML - YAML - JSON - 2024-04-25T04:31:17.424927

• 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
  conrey_indexes	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_polredabs	boolean
  is_rm	boolean
  is_self_dual	boolean
  is_self_twist	boolean
  is_twist_minimal	boolean
  label	text
  level	integer
  level_is_prime	boolean
  level_is_prime_power	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': 1296, 'analytic_conductor': 6.9150886250363, 'analytic_rank': 1, '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': [9, 1, [2], [1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [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, [-24, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599828697097, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '9.12.a.b', 'level': 9, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '1.12.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+24q^{2}-1472q^{4}-4830q^{5}-16744q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '11.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9.12.a', 'trace_display': [24, 0, -4830, -16744], 'trace_hash': 1142343067715702347, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.978', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.917', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.684', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 'traces': [1, 24, 0, -1472, -4830, 0, -16744, -84480, 0, -115920, -534612, 0, -577738, -401856, 0, 987136, 6905934, 0, 10661420, 7109760, 0, -12830688, -18643272, 0, -25499225, -13865712, 0, 24647168, -128406630, 0, -52843168, 196706304, 0, 165742416, 80873520, 0, -182213314, 255874080, 0, 408038400, -308120442, 0, -17125708, 786948864, 0, -447438528, -2687348496, 0, -1696965207, -611981400, 0, 850430336, 1596055698, 0, 2582175960, 1414533120, 0, -3081759120, 5189203740, 0, 6956478662, -1268236032, 0, 2699296768, 2790474540, 0, -15481826884, -10165534848, 0, 1940964480, -9791485272, 0, 1463791322, -4373119536, 0, -15693610240, 8951543328, 0, 38116845680, -4767866880, 0, -7394890608, 29335099668, 0, -33355661220, -411016992, 0, 45164021760, 24992917110, 0, 9673645072, 27442896384, 0, -64496363904, -51494658600, 0, 75013568546, -40727164968, 0, 37534859200, -81742959102, 0, -225755128648, 48807306240, 0, 38305336752, -90241258356, 0, 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• 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], [24], [0], [-1472], [-4830], [0], [-16744], [-84480], [0], [-115920], [-534612], [0], [-577738], [-401856], [0], [987136], [6905934], [0], [10661420], [7109760], [0], [-12830688], [-18643272], [0], [-25499225], [-13865712], [0], [24647168], [-128406630], [0], [-52843168], [196706304], [0], [165742416], [80873520], [0], [-182213314], [255874080], [0], [408038400], [-308120442], [0], [-17125708], [786948864], [0], [-447438528], [-2687348496], [0], [-1696965207], [-611981400], [0], [850430336], [1596055698], [0], [2582175960], [1414533120], [0], [-3081759120], [5189203740], [0], [6956478662], [-1268236032], [0], [2699296768], [2790474540], [0], [-15481826884], [-10165534848], [0], [1940964480], [-9791485272], [0], [1463791322], [-4373119536], [0], [-15693610240], [8951543328], [0], [38116845680], [-4767866880], [0], [-7394890608], [29335099668], [0], [-33355661220], [-411016992], [0], [45164021760], [24992917110], [0], [9673645072], [27442896384], [0], [-64496363904], [-51494658600], [0], [75013568546], [-40727164968], [0], [37534859200]], 'ap': [[24], [0], [-4830], [-16744], [-534612], [-577738], [6905934], [10661420], [-18643272], [-128406630], [-52843168], [-182213314], [-308120442], [-17125708], [-2687348496], [1596055698], [5189203740], [6956478662], [-15481826884], [-9791485272], [1463791322], [38116845680], [29335099668], [24992917110], [75013568546], [-81742959102], [-225755128648], [-90241258356], [73482676310], [85146862638], [-262717201024], [-631528759932], [297198746214], [596793577940], [1115433620850], [-824447297848], [1315116754406], [-357832759588], [-2754833892216], [950387449578], [-1681384224780], [-996774496018], [-2762403350592], [5442387685442], [2876091504354], [728391402200], [-6793168439188], [7334863021472], [1359839565924], [-11824411223170], [17563353448518], [7139577462960], [-231306909358], [-12983053545252], [-23961192565506], [24273728464488], [-25837706543670], [-3767932360528], [-16418932005874], [-21035722907082], [16713176326532], [23926858987458], [15311092828556], [-49875160575912], [-99480832756438], [-83369248359366], [-63584021925868], [121001428335986], [155661561078204], [-25643022194650], [-24909815245602], [-157584150853560], [-177901220129584], [-55161734023378], [146463116322980], [-231449571733632], [149871571611810], [208110680273846], [133407937691598], [-206167580638390], [-73403515193820], [171111932338622], [71775829446768], [99881248225682], [-29031220908760], [-328369848718692], [612368143631550], [303483032911706], [729307946668938], [122188164073712], [617380683662484], [-1050837984850080], [-219909971761864], [483863128068108], [-108877719272500], [-506588355787752], [-85753393288710], [-927574652509722], [-21818651341228], [-1695266465052058], [752144751323996], [-187489032934806], [-244971285916812], [-1352425875836970], [1432228477996772], [-877659324192574], [2434250501782764], [303318212278158], [1701984261329400], [2339216023326602], [-2496072486898144], [2473009012516862], [-24336777156666], [4225450805148020], [-4263261111420568], [-1008295928583042], [303982416160892], [-3435828424131096], [1185387156769098], [2265102374509140], [-5330121520762738], [4741198635421922], [1413071638641474], [3031157627077068], [-2747313442193908], [-5727465442629702], [698326457818910], [-9709787093595120], [2464686886685576], [7912852398754982], [-8406936179151460], [-1362869794471992], [6817220120892752], [-667048975014994], [7744079729695638], [2524111226919170], [11145268112466978], [13227104255899436], [-2302477758246246], [-5604717670694010], [-5085164185024588], [-279110773799022], [-13526517861603928], [-272543929352676], [18045917610367430], [7961834707368360], [-14982644001390898], [22256130175851894], [5442366024533060], [-10810987426382112], [-28102437759471274], [-4222089494633682], [516091995437132], [-5719060466578536], [-84377784300844], [11009058285505488], [-4863513801242680], [-3575343976258530], [38637331724206586], [34899727878407658], [28512291118415604], [-40033434235820202], [18495304308397016], [21487665696030828], [8738799717564174], [-11892426157508232], [23440857788319392], [-21400415987399554]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 4503599828697097, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '9.12.a.b', 'level': 9, 'maxp': 997, 'weight': 12}
• mf_newspaces •

  Column	Type
  AL_dims	jsonb
  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_prime	boolean
  level_is_prime_power	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

  
  {'AL_dims': [[[[3, -1]], 2, 2], [[[3, 1]], 2, 1]], 'ALdims': [2, 2], 'Nk2': 1296, 'analytic_conductor': 6.9150886250363, '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': [9, 1, [2], [1]], 'conrey_index': 1, 'cusp_dim': 9, 'dim': 4, 'eis_dim': 4, 'eis_new_dim': 1, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 201326601, 'hecke_orbit_dims': [1, 1, 2], 'label': '9.12.a', 'level': 9, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 13, 'mf_new_dim': 5, 'num_forms': 3, 'plus_dim': 2, 'prim_orbit_index': 1, 'relative_dim': 4, 'sturm_bound': 12, 'trace_bound': 2, 'trace_display': [-54, 0, 540, 71696], 'traces': [4, -54, 0, 3508, 540, 0, 71696, -239544, 0, 594180, -1172448, 0, 1713776, 1763424, 0, -5059952, 3821580, 0, -29453392, 28783080, 0, 20792520, -33955632, 0, 109740340, -73630404, 0, -32545792, -139157892, 0, 108538448, 215594784, 0, -494588052, -68197680, 0, 463378616, 1777763592, 0, -2203896240, -1206953892, 0, 2206321904, -1787357232, 0, 1790729712, -1131607152, 0, -107107836, 947334150, 0, 4662811640, -2196361332, 0, -4455675360, 5719109760, 0, -16399512684, 4633896816, 0, 5721657464, 2704881168, 0, 4989370432, 6905043720, 0, -28417068400, -22613987592, 0, 79161094080, 5039600976, 0, 16675082432, -56222904276, 0, -104166445360, 26657870688, 0, 63074361008, 15795280800, 0, 51819654492, 20566645632, 0, -251722500120, 74308863672, 0, 169487151264, 50465686284, 0, 77023474432, -34357788576, 0, -330468480576, -156270898080, 0, 299666878400, 53396148186, 0, 30119207980, -91053740628, 0, -18112477936, -70004901456, 0, 439669851012, -315836971632, 0, -53836001776, 329136210000, 0, -696645025024, 444811438332, 0, 241631762400, 145622465928, 0, -412204818168, -30011291856, 0, -396992329004, -219177349956, 0, -27583627552, -10558809000, 0, 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-95532672153474576, 17054310001582440, 0, -62399867590274128, -323321979222288, 0, 57812003503724160, 39233924911537056, 0, -29367668615778720, 8018425932221124, 0, 79805440675347608, 7856841720960288, 0, -36411252001509808, 5143334520240000, 0, -56952913510079532, 17020699036499808, 0, -10128934644850600, 17591935133009232, 0, -1246632119801280, 7437165148606284, 0, -23356869641187024, -25777524530550888, 0, -41239508165530056, 28396802292505920, 0, 92177049946564808, 17680991345956224, 0, -679159984838400, 12605557573790028, 0, 17251347503152224, 2996033010064704, 0, -73094062854276000, 66316123749356496, 0, 10804995956820304, -36949026397120200, 0, 78984206210891520, -44829115266310596, 0, -94070911406463360, 60626021237210304, 0, -7122680559116640, -9279504052440336, 0, -73707206184978972, -37201513630284792, 0, 8897078201396840, -52756578279168840, 0, -5923114359461680, -18885954850021080, 0, 156557941362399240, -14371021446507072, 0, 112061525118791200, -19048448659614048, 0, 56367273999452000, 20741134635185580, 0, -9878354472878784, -38218408753285080, 0, -101010080955164184, -7465557661453152, 0, -40213293282188280, -23868959527088424, 0, -58687670678033696, 14987711436080256, 0, -20282974858213552, -11356714330083072, 0, 55591061037334272, -23846455625786640, 0, -28840558301161576, -49507402940716248, 0, -24242465074111200], 'weight': 12, '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: 5523
    {'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': False, 'source_label': '9.12.a.b', 'source_level': 9, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '1.12.a.a', 'target_level': 1, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 12}
  • id: 5524
    {'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': False, 'source_label': '9.12.a.b', 'source_level': 9, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '9.12.a.b', 'target_level': 9, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 12}
  • id: 5525
    {'conductor': 12, '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': False, 'source_label': '9.12.a.b', 'source_level': 9, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '16.12.a.a', 'target_level': 16, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 12}
  • id: 5526
    {'conductor': 15, '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': False, 'source_label': '9.12.a.b', 'source_level': 9, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '25.12.a.b', 'target_level': 25, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 12}
  • id: 5527
    {'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '9.12.a.b', 'source_level': 9, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '25.12.b.b', 'target_level': 25, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 12}
  • id: 5528
    {'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': False, 'source_label': '9.12.a.b', 'source_level': 9, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '49.12.a.a', 'target_level': 49, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 12}
  • id: 5529
    {'conductor': 21, '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': False, 'source_label': '9.12.a.b', 'source_level': 9, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '49.12.c.b', 'target_level': 49, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 12}
  • id: 5530
    {'conductor': 21, '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': False, 'source_label': '9.12.a.b', 'source_level': 9, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '49.12.c.c', 'target_level': 49, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 12}
  • id: 5531
    {'conductor': 24, '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': False, 'source_label': '9.12.a.b', 'source_level': 9, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '64.12.a.b', 'target_level': 64, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 12}
  • id: 5532
    {'conductor': 24, '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': False, 'source_label': '9.12.a.b', 'source_level': 9, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '64.12.a.f', 'target_level': 64, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 12}
  • id: 5533
    {'conductor': 9, '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': False, 'source_label': '9.12.a.b', 'source_level': 9, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '81.12.c.b', 'target_level': 81, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 12}
  • id: 5534
    {'conductor': 9, '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': False, 'source_label': '9.12.a.b', 'source_level': 9, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '81.12.c.d', 'target_level': 81, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 12}
  • id: 5535
    {'conductor': 33, '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': False, 'source_label': '9.12.a.b', 'source_level': 9, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '121.12.a.b', 'target_level': 121, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '33.d', 'twisting_char_orbit': 4, 'weight': 12}
  • id: 5536
    {'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': False, 'source_label': '9.12.a.b', 'source_level': 9, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '144.12.a.d', 'target_level': 144, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 12}
  • id: 5537
    {'conductor': 39, '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': False, 'source_label': '9.12.a.b', 'source_level': 9, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '169.12.a.a', 'target_level': 169, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 12}
  • id: 5538
    {'conductor': 5, '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': False, 'source_label': '9.12.a.b', 'source_level': 9, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '225.12.a.b', 'target_level': 225, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 12}
  • id: 5539
    {'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '9.12.a.b', 'source_level': 9, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '225.12.b.d', 'target_level': 225, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 12}
  • id: 5540
    {'conductor': 48, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '9.12.a.b', 'source_level': 9, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '256.12.b.c', 'target_level': 256, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 12}
  • id: 5541
    {'conductor': 48, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '9.12.a.b', 'source_level': 9, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '256.12.b.e', 'target_level': 256, 'twist_class_label': '1.12.a.a', 'twist_class_level': 1, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 12}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 37950
    {'charpoly_factorization': [[[-24, 1], 1]], 'hecke_orbit_code': 4503599828697097, 'p': 2}
  • id: 37951
    {'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599828697097, 'p': 3}
  • id: 37952
    {'charpoly_factorization': [[[4830, 1], 1]], 'hecke_orbit_code': 4503599828697097, 'p': 5}
  • id: 37953
    {'charpoly_factorization': [[[16744, 1], 1]], 'hecke_orbit_code': 4503599828697097, 'p': 7}
  • id: 37954
    {'charpoly_factorization': [[[534612, 1], 1]], 'hecke_orbit_code': 4503599828697097, 'p': 11}
  • id: 37955
    {'charpoly_factorization': [[[577738, 1], 1]], 'hecke_orbit_code': 4503599828697097, 'p': 13}
  • id: 37956
    {'charpoly_factorization': [[[-6905934, 1], 1]], 'hecke_orbit_code': 4503599828697097, 'p': 17}
  • id: 37957
    {'charpoly_factorization': [[[-10661420, 1], 1]], 'hecke_orbit_code': 4503599828697097, 'p': 19}
  • id: 37958
    {'charpoly_factorization': [[[18643272, 1], 1]], 'hecke_orbit_code': 4503599828697097, 'p': 23}
  • id: 37959
    {'charpoly_factorization': [[[128406630, 1], 1]], 'hecke_orbit_code': 4503599828697097, 'p': 29}
  • id: 37960
    {'charpoly_factorization': [[[52843168, 1], 1]], 'hecke_orbit_code': 4503599828697097, 'p': 31}
  • id: 37961
    {'charpoly_factorization': [[[182213314, 1], 1]], 'hecke_orbit_code': 4503599828697097, 'p': 37}
  • id: 37962
    {'charpoly_factorization': [[[308120442, 1], 1]], 'hecke_orbit_code': 4503599828697097, 'p': 41}
  • id: 37963
    {'charpoly_factorization': [[[17125708, 1], 1]], 'hecke_orbit_code': 4503599828697097, 'p': 43}
  • id: 37964
    {'charpoly_factorization': [[[2687348496, 1], 1]], 'hecke_orbit_code': 4503599828697097, 'p': 47}
  • id: 37965
    {'charpoly_factorization': [[[-1596055698, 1], 1]], 'hecke_orbit_code': 4503599828697097, 'p': 53}
  • id: 37966
    {'charpoly_factorization': [[[-5189203740, 1], 1]], 'hecke_orbit_code': 4503599828697097, 'p': 59}
  • id: 37967
    {'charpoly_factorization': [[[-6956478662, 1], 1]], 'hecke_orbit_code': 4503599828697097, 'p': 61}
  • id: 37968
    {'charpoly_factorization': [[[15481826884, 1], 1]], 'hecke_orbit_code': 4503599828697097, 'p': 67}
  • id: 37969
    {'charpoly_factorization': [[[9791485272, 1], 1]], 'hecke_orbit_code': 4503599828697097, 'p': 71}
  • id: 37970
    {'charpoly_factorization': [[[-1463791322, 1], 1]], 'hecke_orbit_code': 4503599828697097, 'p': 73}
  • id: 37971
    {'charpoly_factorization': [[[-38116845680, 1], 1]], 'hecke_orbit_code': 4503599828697097, 'p': 79}
  • id: 37972
    {'charpoly_factorization': [[[-29335099668, 1], 1]], 'hecke_orbit_code': 4503599828697097, 'p': 83}
  • id: 37973
    {'charpoly_factorization': [[[-24992917110, 1], 1]], 'hecke_orbit_code': 4503599828697097, 'p': 89}
  • id: 37974
    {'charpoly_factorization': [[[-75013568546, 1], 1]], 'hecke_orbit_code': 4503599828697097, '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': '9.12.a.b', 'level': 9, 'portrait': 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', 'weight': 12}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 76687000
    {'hecke_orbit_code': 4503599828697097, 'n': 1, 'trace_an': 1}
  • id: 76687001
    {'hecke_orbit_code': 4503599828697097, 'n': 2, 'trace_an': 24}
  • id: 76687002
    {'hecke_orbit_code': 4503599828697097, 'n': 3, 'trace_an': 0}
  • id: 76687003
    {'hecke_orbit_code': 4503599828697097, 'n': 4, 'trace_an': -1472}
  • id: 76687004
    {'hecke_orbit_code': 4503599828697097, 'n': 5, 'trace_an': -4830}
  • id: 76687005
    {'hecke_orbit_code': 4503599828697097, 'n': 6, 'trace_an': 0}
  • id: 76687006
    {'hecke_orbit_code': 4503599828697097, 'n': 7, 'trace_an': -16744}
  • id: 76687007
    {'hecke_orbit_code': 4503599828697097, 'n': 8, 'trace_an': -84480}
  • id: 76687008
    {'hecke_orbit_code': 4503599828697097, 'n': 9, 'trace_an': 0}
  • id: 76687009
    {'hecke_orbit_code': 4503599828697097, 'n': 10, 'trace_an': -115920}
  • id: 76687010
    {'hecke_orbit_code': 4503599828697097, 'n': 11, 'trace_an': -534612}
  • id: 76687011
    {'hecke_orbit_code': 4503599828697097, 'n': 12, 'trace_an': 0}
  • id: 76687012
    {'hecke_orbit_code': 4503599828697097, 'n': 13, 'trace_an': -577738}
  • id: 76687013
    {'hecke_orbit_code': 4503599828697097, 'n': 14, 'trace_an': -401856}
  • id: 76687014
    {'hecke_orbit_code': 4503599828697097, 'n': 15, 'trace_an': 0}
  • id: 76687015
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