Embedded newform data - 54.9.d.a.17.4

Formats: - HTML - YAML - JSON - 2024-06-17T00:14:56.061861

• 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': 4374, 'analytic_conductor': 21.998444943300868, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 6, 'char_parity': -1, 'char_values': [54, 6, [29], [5]], 'cm_discs': [], 'conrey_index': 17, 'dim': 16, 'field_disc': 12747010692347871233376826044264831707800323420585984, 'field_disc_factorization': [[2, 28], [3, 8], [409, 2], [599, 2], [6481, 2], [28657, 2], [1869719, 2]], 'field_poly': [81301302751102601946916438161, 62373298381917691066182105696, 16292568366453217677347743656, 1485002234815673954960734644, 35643731791394373752805382, -866018994869774202180460, -18744835998632687401792, 150983052056025751536, 3259352971808015407, -9458863275320348, -241960304158448, 239206241152, 8702363206, -1927740, -150208, -4, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 206309425206, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 40290721869103654477234176, 'hecke_ring_index_factorization': [[2, 28], [3, 36]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 4, -1, 6, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '54.9.d.a', 'level': 54, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '18.9.d.a', 'prim_orbit_index': 4, 'qexp_display': 'q+\\beta _{2}q^{2}-2^{7}\\beta _{1}q^{4}+(74+37\\beta _{1}+\\beta _{5}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '8.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '54.9.d', 'trace_display': [0, 0, 882, -1846], 'trace_hash': 2016880525910600417, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.308', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '911.316', 'prec': 24}, {'__RealLiteral__': 0, 'data': '669.291', 'prec': 24}, {'__RealLiteral__': 0, 'data': '105706.755', 'prec': 34}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.173', 'prec': 17}, 'traces': [16, 0, 0, 1024, 882, 0, -1846, 0, 0, 0, -45756, 0, -3370, 94464, 0, -131072, 0, 0, 362180, 112896, 0, -61824, -1311138, 0, 963394, 0, 0, -472576, 2851290, 0, 542438, 0, 0, 220416, 0, 0, 3343328, 1314432, 0, 0, -9218592, 0, 339512, 0, 0, 7417344, 34980606, 0, -2364654, -27744768, 0, 431360, 0, 0, -4584276, 12091392, 0, -7852800, -93924216, 0, -841954, 0, 0, -33554432, 126568134, 0, 29946644, 5476608, 0, -34359552, 0, 0, -7547764, -35124480, 0, 23179520, -9309294, 0, 33813002, 0, 0, -137346048, -114200226, 0, -125696772, 171379584, 0, 7913472, 0, 0, 268578316, -167825664, 0, -11832576, 143949240, 0, -89415484, 0, 0, 246628864, -22076478, 0, 183785966, 161611776, 0, 133432320, 0, 0, -568105960, -951810048, 0, -30244864, 789071814, 0, 58486050, 0, 0, 124135680, -673003044, 0, 167452456, 1115880192, 0, -69432064, 0, 0, 571476920, 0, 0, -17957376, -1161819810, 0, 382952656, 0, 0, 56426496, 1198120500, 0, -910438828, 1501357824, 0, -170480640, 0, 0, -115001532, -1392083712, 0, 213972992, -5146062426, 0, -656862178, 0, 0, -204006912, 6090227262, 0, 996577478, 1945405440, 0, 0, 0, 0, -2509956784, -1179979776, 0, -375806976, -5585833278, 0, -943793406, 0, 0, 86915072, 5917568346, 0, 8203520, 749666304, 0, 987283968, 0, 0, 1647744200, -7629472512, 0, 474710016, -7491894084, 0, -375359310, 0, 0, 1457243136, 8928286146, 0, -13474144, 9819175680, 0, 302675712, 0, 0, -3497495344, -3551330304, 0, -248500224, -2712661290, 0, 4890932118, 0, 0, 110428160, 4642239294, 0, -3301046590, 6544106496, 0, -2844435840, 0, 0, 14893603468, -18192439296, 0, -293393664, -8584793136, 0, -2309886202, 0, 0, -9677761536, 798943500, 0, 5672144834, 25052067072, 0, 1005158400, 0, 0, 6204080628, -12022299648, 0, 1614961920, 7834600638, 0, -3231528184, 0, 0, -215540224, 4563556092, 0, -3357419324, 3961847808, 0, -1039682304, 0, 0, -27701935884, -23220635904, 0, -2147483648, -8220730176, 0, 17010601132, 0, 0, 15868016640, -9017732142, 0, 1905960456, 15213699072, 0, -3833170432, 0, 0, -5604235672, 701005824, 0, -2368510464, -15857060562, 0, -21686960794, 0, 0, -8796045312, 50719390686, 0, 9762326594, 612923904, 0, 9636162816, 0, 0, 27086107876, -3581632512, 0, -483056896, -25722556686, 0, -16227071658, 0, 0, 7231770624, 15931826262, 0, -32838316106, -6995462400, 0, -2966978560, 0, 0, -36158996020, -1191589632, 0, 9812378880, -29368934190, 0, 32195162960, 0, 0, 8656128512, 28647130590, 0, 24232558302, -1849688064, 0, 990749184, 0, 0, 3351179144, 58917371904, 0, -8790147072, -29355368922, 0, -10192841422, 0, 0, -34642845696, -43085721942, 0, 33136184684, -22680267264, 0, 16089186816, 0, 0, 106816636156, 21936586752, 0, 11136933120, 11947224168, 0, 7423178678, 0, 0, 2025848832, -35654050980, 0, -95605875936, -28778241024, 0, -27651446016, 0, 0, -98364417084, 47157371136, 0, 17189012224, 51541090056, 0, 30339824306, 0, 0, 78944855040, -48211383528, 0, 62948811398, -80625456000, 0, 1514569728, 0, 0, -75636214732, 18425502720, 0, -55665955584, 253597145778, 0, -91078798086, 0, 0, -22890363904, -94845525894, 0, 73460992680, -59913142272, 0, 41746707456, 0, 0, 224195684720, 75389181696, 0, 15784247296, 84527368740, 0, 2462514610, 0, 0, -51129226752, -234253659672, 0, -138192680644, -138907934208, 0, -23524603648, 0, 0, -292737956364, 20686307328, 0, 20562104064, 218040640182, 0, 143044769330, 0, 0, 34158673920, -119791976526, 0, 31830588634, 37332179712, 0, -41868845568, 0, 0, 66446307500, 88754701824, 0, -36358781440, 34731564444, 0, -101712801586, 0, 0, -163338487296, -141495954840, 0, 136884138840, -132057554688, 0, 3871342592, 0, 0, 339979500072, 101001192192, 0, 73783247232, 167594947470, 0, -70799442052, 0, 0, 14972428800, -48136299426, 0, -151066984054, -46715535360, 0, -55480839936, 0, 0, -370905309452, 252555777792, 0, 7944683520, -168548293332, 0, 265225461194, 0, 0, 138301868544, -104822969670, 0, 17086702084, -347347521792, 0, -21433914368, 0, 0, 234334302896, 142832664576, 0, -146183097600, 144191724084, 0, -165871390860, 0, 0, -17774608384, 327349894464, 0, 113623853012, -30498409728, 0, 215712061824, 0, 0, 333612713556, 86836700160, 0, 36574522880, -71911393362, 0, -175988012384, 0, 0, 74177903616, -85339961946, 0, -252949867830, -98527417344, 0, 2298544128, 0, 0, -692630619808, -148712935680, 0, 125719628544, 32770244376, 0, 379564893250, 0, 0, 98035879936, 444780997254, 0, 179425445436, -220500541440, 0, -48345603072, 0, 0, -64091382688, 164138683392, 0, 3611295744, -508682132748, 0, -287750581672, 0, 0, -139799200512, -562805483832, 0, 169776005650, 330339907584, 0, 116536169984, 0, 0, 697387130140, 192173801472, 0, -39667865088, 101182408632, 0, -226032836526, 0, 0, -43643043840, 648250575192, 0, -222253860076, 291732242688, 0, -310015491840, 0, 0, -1033154772340, -246930577920, 0, -7360098048, -527102604090, 0, 232331824872, 0, 0, 184770024960, -611323935300, 0, -123366832676, 627037867008, 0, -27388542976, 0, 0, 511775832960, -658695990528, 0, -67506620160, 238668326802, 0, 44138783732, 0, 0, -168156717568, 636011527644, 0, 185465916254, -21535653888, 0, 210023788032, 0, 0, 308803758080, -1020344549760, 0, -13056442368, -238123115532, 0, 86913839732, 0, 0, -43727307264, -236781696600, 0, -169378852352, 809231404032, 0, -127561917184, 0, 0, -342147157552, 249011896320, 0, 10881363456, 1061736712956, 0, 27505817760, 0, 0, 0, 422754258708, 0, 354419009648, 850502575872, 0, 5456475264, 0, 0, -194258671992, 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6584406949962, 0, -3172484251918, -2984374665216, 0, -871531011072, 0, 0, 2225967404548, 1172358349056, 0, -13794574336, -9015779172636, 0, 1503973294344, 0, 0, 4777572608256, -3752261437230, 0, -1895364691776, -4590449542656, 0, 429749673472, 0, 0, -6727949818168, 507116519424, 0, 993005861376, 4957412900652, 0, 69045647774, 0, 0, -266158669824], 'weight': 9, 'weight_parity': -1}
• mf_hecke_cc •

  Column	Type
  an_normalized	double precision[]
  angles	double precision[]
  char_orbit_index	smallint
  conrey_index	integer
  dual_conrey_index	integer
  dual_embedding_index	integer
  dual_embedding_m	integer
  embedding_index	integer
  embedding_m	integer
  embedding_root_imag	double precision
  embedding_root_real	double precision
  hecke_orbit	integer
  hecke_orbit_code	bigint
  label	text
  level	integer
  weight	smallint

  
  {'an_normalized': [[1.0, 0.0], [-0.6123724356957945, 0.3535533905932738], [0.0, 0.0], [0.25, -0.4330127018922193], [1.5115346171506527, 0.8726849181013673], [0.0, 0.0], [0.5209062310539407, 0.9022360581646381], [0.0, 0.3535533905932738], [0.0, 0.0], [-1.2341628468574073, 0.0], [0.2194387441176937, -0.12669301798698387], [0.0, 0.0], [0.7846326313452717, -1.359023582766471], [-0.637977234959236, -0.368336328340568], [0.0, 0.0], [-0.125, -0.21650635094610965], [0.0, 0.6530475933140655], [0.0, 0.0], [0.9606160567591306, 0.0], [0.7557673085753264, -0.43634245905068364], [0.0, 0.0], [-0.08958549214758554, 0.15516662402068085], [-0.952007157842247, -0.5496415888506718], [0.0, 0.0], [1.02315793256318, 1.772161523366559], [0.0, 1.1096381087289722], [0.0, 0.0], [0.5209062310539407, 0.0], [-0.5658716886200685, 0.3267061717515847], [0.0, 0.0], [-0.15221132034346158, 0.2636377403220177], [0.15309310892394862, 0.08838834764831845], [0.0, 0.0], [-0.23088719083496517, -0.3999083453430109], [0.0, 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-0.17026243954581943, -0.259284522061044, -0.38630270826498786, -0.440986382274893, -0.24320494161337372, 0.018849408245657038, 0.04709476345152228, -0.3275548256047394, -0.4903268971377967, -0.28113594417617066, -0.14906339352054057, 0.18776912068215373, 0.05337393020362987, -0.23661047242267785, -0.1606624853706702, -0.3832136619842755, -0.4168039219432731, -0.03925136507070843, -0.3738252629002489, -0.4616632170757406, -0.49961632361182223, -0.22964176469643327, -0.21433366768948897, -0.12525424484769973, -0.23782326324748373, -0.22994634027190275, -0.37200164299998806, -0.28385550235268914, -0.1519236939495274, -0.19642976134370332, -0.39295941201800116, -0.19489295689268982, -0.2522687810976924, 0.049127903765074823, -0.12985151662034544, -0.26952017116656973, -0.2507869384762034, 0.08979276889836402, -0.27677561056196637, -0.4903443190405384, -0.09962908868451399, -0.3560286758286635, -0.43283688168764023, -0.3970829281493759, -0.188461988920308, 0.0017903593776935607, 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-0.38322705573694626, -0.15246954116999276, -0.31965348762573326, -0.3783256883982655, 0.011898503424481848, -0.4635477644526217, 0.11108932704714021, -0.29963620716734407, -0.08243581413620878, -0.4659705268152732, -0.3462025553614979, -0.060191417914300646, -0.49904950134196707, -0.28627875847437917, -0.2569838570741438, -0.47399392637990995, -0.47491816709063844, 0.18163783422911467, -0.4409390372913597, -0.3222778612937887, -0.23602648437010637, -0.3242780672001776, -0.06404378989671916], 'char_orbit_index': 4, 'conrey_index': 17, 'dual_conrey_index': 35, 'dual_embedding_index': 4, 'dual_embedding_m': 12, 'embedding_index': 4, 'embedding_m': 4, 'embedding_root_imag': 0.8660254037844386, 'embedding_root_real': -197.4353634931462, 'hecke_orbit': 1, 'hecke_orbit_code': 206309425206, 'label': '54.9.d.a.17.4', 'level': 54, 'weight': 9}
• 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': 4374, 'analytic_conductor': 21.998444943300868, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 6, 'char_parity': -1, 'char_values': [54, 6, [29], [5]], 'conrey_index': 17, 'cusp_dim': 132, 'dim': 16, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 206309425206, 'hecke_orbit_dims': [16], 'label': '54.9.d', 'level': 54, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 156, 'mf_new_dim': 16, 'num_forms': 1, 'prim_orbit_index': 4, 'relative_dim': 8, 'sturm_bound': 81, 'trace_bound': 0, 'trace_display': [0, 0, 882, -1846], 'traces': [16, 0, 0, 1024, 882, 0, -1846, 0, 0, 0, -45756, 0, -3370, 94464, 0, -131072, 0, 0, 362180, 112896, 0, -61824, -1311138, 0, 963394, 0, 0, -472576, 2851290, 0, 542438, 0, 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-4118109764562, 0, 988002376794, 0, 0, -2335570934784, -2132227039356, 0, 3793592945404, -4215160305792, 0, -206715125760, 0, 0, 3940668030276, 1002828881664, 0, -2099660432640, 5398767858114, 0, -2892018768486, 0, 0, -827271215104, 6584406949962, 0, -3172484251918, -2984374665216, 0, -871531011072, 0, 0, 2225967404548, 1172358349056, 0, -13794574336, -9015779172636, 0, 1503973294344, 0, 0, 4777572608256, -3752261437230, 0, -1895364691776, -4590449542656, 0, 429749673472, 0, 0, -6727949818168, 507116519424, 0, 993005861376, 4957412900652, 0, 69045647774, 0, 0, -266158669824], 'weight': 9, 'weight_parity': -1}
• mf_twists_cc •

  Column	Type
  conductor	integer
  degree	integer
  order	integer
  parity	smallint
  source_conrey_index	integer
  source_dim	integer
  source_embedding_index	integer
  source_hecke_orbit_code	bigint
  source_is_minimal	boolean
  source_label	text
  source_level	integer
  target_conrey_index	integer
  target_dim	integer
  target_embedding_index	integer
  target_hecke_orbit_code	bigint
  target_is_minimal	boolean
  target_label	text
  target_level	integer
  twist_class_label	text
  twist_class_level	integer
  twisting_char_label	text
  twisting_conrey_index	integer
  weight	smallint

  
  
  • id: 2267929
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 17, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 206309425206, 'source_is_minimal': False, 'source_label': '54.9.d.a.17.4', 'source_level': 54, 'target_conrey_index': 17, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 206309425206, 'target_is_minimal': False, 'target_label': '54.9.d.a.17.4', 'target_level': 54, 'twist_class_label': '18.9.d.a.5.7', 'twist_class_level': 18, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 9}
  • id: 2267930
    {'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 17, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 206309425206, 'source_is_minimal': False, 'source_label': '54.9.d.a.17.4', 'source_level': 54, 'target_conrey_index': 5, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 206309425170, 'target_is_minimal': True, 'target_label': '18.9.d.a.5.7', 'target_level': 18, 'twist_class_label': '18.9.d.a.5.7', 'twist_class_level': 18, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 9}
  • id: 2267931
    {'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 17, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 206309425206, 'source_is_minimal': False, 'source_label': '54.9.d.a.17.4', 'source_level': 54, 'target_conrey_index': 17, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9008298917364144, 'target_is_minimal': False, 'target_label': '432.9.q.c.17.8', 'target_level': 432, 'twist_class_label': '18.9.d.a.5.7', 'twist_class_level': 18, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 9}
  • id: 2267932
    {'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 17, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 206309425206, 'source_is_minimal': False, 'source_label': '54.9.d.a.17.4', 'source_level': 54, 'target_conrey_index': 35, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 206309425206, 'target_is_minimal': False, 'target_label': '54.9.d.a.35.4', 'target_level': 54, 'twist_class_label': '18.9.d.a.5.7', 'twist_class_level': 18, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 9}
  • id: 2267933
    {'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 17, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 206309425206, 'source_is_minimal': False, 'source_label': '54.9.d.a.17.4', 'source_level': 54, 'target_conrey_index': 161, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007268125212834, 'target_is_minimal': False, 'target_label': '162.9.b.c.161.1', 'target_level': 162, 'twist_class_label': '18.9.d.a.5.7', 'twist_class_level': 18, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 9}
  • id: 2267934
    {'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 17, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 206309425206, 'source_is_minimal': False, 'source_label': '54.9.d.a.17.4', 'source_level': 54, 'target_conrey_index': 161, 'target_dim': 16, 'target_embedding_index': 16, 'target_hecke_orbit_code': 9007268125212834, 'target_is_minimal': False, 'target_label': '162.9.b.c.161.16', 'target_level': 162, 'twist_class_label': '18.9.d.a.5.7', 'twist_class_level': 18, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 9}
  • id: 2267935
    {'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 17, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 206309425206, 'source_is_minimal': False, 'source_label': '54.9.d.a.17.4', 'source_level': 54, 'target_conrey_index': 11, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 206309425170, 'target_is_minimal': True, 'target_label': '18.9.d.a.11.7', 'target_level': 18, 'twist_class_label': '18.9.d.a.5.7', 'twist_class_level': 18, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 9}
  • id: 2267936
    {'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 17, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 206309425206, 'source_is_minimal': False, 'source_label': '54.9.d.a.17.4', 'source_level': 54, 'target_conrey_index': 113, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504699289993360, 'target_is_minimal': False, 'target_label': '144.9.q.b.113.3', 'target_level': 144, 'twist_class_label': '18.9.d.a.5.7', 'twist_class_level': 18, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 9}
  • id: 2267937
    {'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 17, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 206309425206, 'source_is_minimal': False, 'source_label': '54.9.d.a.17.4', 'source_level': 54, 'target_conrey_index': 65, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504699289993360, 'target_is_minimal': False, 'target_label': '144.9.q.b.65.3', 'target_level': 144, 'twist_class_label': '18.9.d.a.5.7', 'twist_class_level': 18, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 9}
  • id: 2267938
    {'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 17, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 206309425206, 'source_is_minimal': False, 'source_label': '54.9.d.a.17.4', 'source_level': 54, 'target_conrey_index': 305, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9008298917364144, 'target_is_minimal': False, 'target_label': '432.9.q.c.305.8', 'target_level': 432, 'twist_class_label': '18.9.d.a.5.7', 'twist_class_level': 18, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 9}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 181300
    {'charpoly_factorization': [[[16384, 0, -128, 0, 1], 4]], 'hecke_orbit_code': 206309425206, 'p': 2}
  • id: 181301
    {'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 206309425206, 'p': 3}
  • id: 181302
    {'charpoly_factorization': [[[1925816581230580779635021524177577006250000, -61506542994323224682437845753754676250000, 760757888922018122732584619239381687500, -3384179244626140879556815857844237500, -3605758934922828268763506791091875, 57723978276847160230646365328250, 75340452287424478779334326825, -596779397583472942045309170, 366973426246918137348366, 1400197116338499695130, -984669738683922567, -2364572734738830, 2254411584990, 1688626926, -1655235, -882, 1], 1]], 'hecke_orbit_code': 206309425206, 'p': 5}
  • id: 181303
    {'charpoly_factorization': [[[1536278834767969750641907821446785336722822306250000, -11247979443948073459915810459548842563839856250000, 67273988689935376047630630802281609509131777500, -111505420521187038499039672340158896404402500, 158699495231289801571552499907333209029109, -91297004728529112066381594921722946378, 72682717345795683114237618228825049, -23399462970153350290419302312954, 20993084493357613343780656170, -4250786279304470346249578, 3436909012026831202309, -217157929707661614, 372865959826250, -3996335398, 25945389, 1846, 1], 1]], 'hecke_orbit_code': 206309425206, 'p': 7}
  • id: 181304
    {'charpoly_factorization': [[[52504428100410331772889568743246474047797514791179845153661561249, -31582345291762930873407031152276333440531644015498665103751412, 5698383489284479727977100137810678231568862651372346253616, 381400490597945486425130252513297558859759070984147968, -173236512211129734847420707841098493470508816231998, -3379904901858772571344872135065697434920892676, 3424906322323558289786611885127589532868256, 56461772681911925762701106758738532508, -33980244715454104698400241530425981, -943675487457871803197344382484, 233120154692355595841577888, 14267295536309831230380, -152733803440719582, -27097915550976, 105644016, 45756, 1], 1]], 'hecke_orbit_code': 206309425206, 'p': 11}
  • id: 181305
    {'charpoly_factorization': [[[2264884652627157181592290374413647364759454497404093052272999405916416, 593154196921247102855652659215097690158668118158714519396104866432, 119377673674814827801248796481445771707790175652229854942210736, 12786737885921888042237617361622276908411530612166155401128, 1183052690514734162900621278189742634165805615026189857, 63545949596284754840847833629005151247965505896458, 4126115755850648578897551269806389461562745861, 149724615671186032952474654151726599194390, 10603073828668892806170102484521274698, 192579210226534416054101429228626, 12010433067623176387601622733, 69642298876716230120730, 10367281565863608170, 18790214326286, 3740498037, 3370, 1], 1]], 'hecke_orbit_code': 206309425206, 'p': 13}
  • id: 181306
    {'charpoly_factorization': [[[12363141322344911763961329535685781642223851437777797969732099129988874240000, 0, 52508104011538750389448043013694648220795876223187587225778008883200, 0, 82673035752425301325596751359382255312001278209013676718336, 0, 63048421663272491818531131959933547232723727619840, 0, 25677063591492248656815242913915789265248, 0, 5755807063131450217594099638480, 0, 697026343864095491913, 0, 42263005590, 0, 1], 1]], 'hecke_orbit_code': 206309425206, 'p': 17}
  • id: 181307
    {'charpoly_factorization': [[[-1179205742652430911772575432222764066240, 153589720473608278663188970109763776, 312541634708556474200317602544, -56310490080207175670467072, 154443182869633342588, 5862540076416236, -26946353843, -181090, 1], 2]], 'hecke_orbit_code': 206309425206, 'p': 19}
  • id: 181308
    {'charpoly_factorization': [[[1295769475029405006378862093768183873814864264426679437620531960449460909044013182849024, 8728252042647909000134549075215456145742288361018639068585551189870682645463987200, -135376440298448022281457495555892299327534992538094597991192854663640724515520, -1043899830145289568263862983563854504482142366677638416377135060923806000, 14562764720376892745435816716296162959552573778138990984046362049113, 159603262981754097600741285210284012897893195627072268227843710, 426883246145139151551377905024316272092705430796856676893, -758277639019215824756842463981066630153154058648482, -4826884211261701134579442450580284592084120922, 3141629621909599696513472649724845394230, 49464475791567938010367640642666817, 59664609599863295289203190522, -137851648820303632065594, -283877869247668350, 356515039773, 1311138, 1], 1]], 'hecke_orbit_code': 206309425206, 'p': 23}
  • id: 181309
    {'charpoly_factorization': [[[731337190520015566829246057264447147124524452868256805790018753864782778802350925207062250000, 3856161093088594882976265946606656440437458479092359037063037975151339816861003185670000, 201599847735037023316178922027416678189924425494258621478963857058348817033676300, -34673259889317779752893923584629006828041260853375459925375844429332525836220, -22129824960218584622620898472526327477363216986164130615976161375355779, 233613702779756176229857338435092415321810605028832373345722123746, 340634380994233261245413726055039013718422218804435391706937, -632947131450076017327468492547018571288985949284113130, -1155013522686477205266610141386144234809684959458, 1378095172836080088444091665765026022690210, 2515987226313474535161177080036245785, -2321850551770960018101890931222, -2802922202288126050166034, 3023340904308585510, 1649610128781, -2851290, 1], 1]], 'hecke_orbit_code': 206309425206, 'p': 29}
  • id: 181310
    {'charpoly_factorization': [[[201240342584238472067154923566064015550441629371762507271905605419681336430648075550606336000000, 326945874090335483400061899892113795588297178049692295243779380797708451648512649610240000, 2440453748010610136312076733776766154625437086522138340633074858499691888118791993600, -1000138394871816547529700254399947409822765047462976748745535930836333224136480, 16483095461236443631580020516901084292634678066279824840691447128436326689, 50500196849315560220581229173951658854158596884127440763295229506, 31428884862405789236053444532106290787056611461721148387659129, -3494465920959983355677898886708288857441740125013927618, 38949999008562367747636640807375008042665751663734, -3629498435561108265188932125978457531286366, 29557238108104923766293023358361126597, -4017118059378792221185723442022, 15868590792537672365111366, -1583998952896074874, 5004693025929, -542438, 1], 1]], 'hecke_orbit_code': 206309425206, 'p': 31}
  • id: 181311
    {'charpoly_factorization': [[[-17635410061663224546496265973327628675872073849856, 123681374609497739336242384014625353959254016, -68646599093200547633401531254618573056, -108002987377621466818623421248256, 69032533577528100386587600, 25033293880605323264, -16415482431224, -1671664, 1], 2]], 'hecke_orbit_code': 206309425206, 'p': 37}
  • id: 181312
    {'charpoly_factorization': [[[2499915648655206224090211753777235201661591569944689534103065356465699385815463002161179433021890625, 54797916925757640365248134495798883724481347901517689624201484401231101005057745752523896320000, 443190506580745200412325259998221386712166118843840442099625474312127428437788421811729700, 938218111833834221704402698820416614384253607320301296009530192761207908086334996480, 856883967731103997716050409091655055267639813072106844962045274785670964355434, 272510507236914382975312752780683654827066902682315559270868415740875328, -100623683271245306333809483789678958521181840597624771173994498160, -64035777199333737117110185733417990958871386034124286667104, 53844599782466356009105285731317621896754121618240627, 64933978579751048026590605337131069789102311680, 26671527618694354306044047800823357118096, 4294324891814611996710140162065632, -280896078845125333565915094, -155565072335482858368, 11452334960484, 9218592, 1], 1]], 'hecke_orbit_code': 206309425206, 'p': 41}
  • id: 181313
    {'charpoly_factorization': [[[239380660594682331075840123383731274184750576411612934679532314066091966474394303950839203776119314225, 160664975743668750741722996538236858454077707240790074113539060787929549636996626409325048527920, 396662855131348756232661574462906323490903284711726808239900315648593784754136452887048144, 58155427238356369759682799188902515523669088849321570321386005758536035112605628496, 305013983348831475085727858680514079293891403724249138378866770214179199649178, 2310037116424475113913969642342248244484763056886016542563305521727760, 166863635494109696734888469532580074412118519994064529003281489120, -27204857842273679987025554391208553066976866251849925517416, 55868280856759599941349648494185680965314656931883499, -8191104409518638936139766051502311708781246960, 11238121520305753522068405764121615418720, -1889234900440810921248392563501896, 1349297671678657092043973354, -77032142204030949280, 40060681104096, -339512, 1], 1]], 'hecke_orbit_code': 206309425206, 'p': 43}
  • id: 181314
    {'charpoly_factorization': [[[18149356891482873079974774198287997279306963372786894747944322766940536143657278490569284617519460978944, -138952817194713530863220776579141322607177876104024300024963229132999500665396411375153651965247104, 452565003448377873176905863007633264674742769608658996476441490717725097656403464677500696304, -749943000346484842323110813317794549769342253486790324779338348316764738601405534137656, 735183593505853298274698148331856098889296988720740458372806715041431868900103897, -457277634250589938520844336013040181573532848178506741050066833723444124994, 184631508018779264908804290626486764681717253413466431903339731025821, -46840045929627846504974208065018975822082925330438322823015210, 6357230216078558639780691346984437503820090912514145334, -162312154463561571948306384124155216816106292586, 18627058913903360398876114120536371732049, -63292308677060128858823560460694990, 24638901088106434262799561750, -4798239987328800291198, 545049510177645, -34980606, 1], 1]], 'hecke_orbit_code': 206309425206, 'p': 47}
  • id: 181315
    {'charpoly_factorization': [[[7369886445735800196733340010443141295801949219367084801497583428434126699168715090321219589347737600000000, 0, 15982545253295192315546370832379166347210102965927079797478006074642363112339905173258240000000, 0, 9886892296854402491929248840618558721293217497085434696603807985512716036997120000, 0, 1407047341970744649535235948803604562768894660012993916603721170944000, 0, 86329838108533697369797227187480426069242403463569633536, 0, 2669801895213245140541929328719650508372224, 0, 42992178181742893881643021152, 0, 337987454025744, 0, 1], 1]], 'hecke_orbit_code': 206309425206, 'p': 53}
  • id: 181316
    {'charpoly_factorization': [[[2324367986209712548012939712750278071440588868596104901500728631899285958743809555256652900022294845913056626225, 1891793975525648654255277238871954871595793878126150996071814073805176541330736760519178310997559938528640, 569979091509714344786304753255379531305774875546675665999772710837334766359861204883667413393101952, 46178723451934388369024086981171816886829778558602743493175117442937369306098338392436948992, -10701440673857730313152254563862741309925132069864039349116698888879453021519362107366, -1596800376254823315601438593554539967783009492841339214445388450884102201089920, 385492614434727380169318704077291880717380732631246804914122546899994720, 117489430526974677538157280916886007958040196480076233818559127992, 9819016804804302267641791390512285363557085128123998509291, -166031663987382698260245491693394253779733531224192, -61953395536762951091716010523394223137170720, 1474527489736848141419404779911602392, 893939426480144252027159639658, 82615418024415725985408, 3820182684845040, 93924216, 1], 1]], 'hecke_orbit_code': 206309425206, 'p': 59}
  • id: 181317
    {'charpoly_factorization': [[[112792017472756923372172454208075076832593274579644868389720474949319726759790159927725726209873106320978415616, -182253865506248168120727434613824398681317418420842890201340734797576044334764914347301857195362045326336, 284543534451186188412694712007944782529374701091969023640417124406936506912104447006876410985914048, -45128743926351955987616068862576702186375938979354341703893815034930219879333690483513382992, 22990648932903618663078911118973755602009297358537062441665134994402884151403173288097, 5626720214786557234686749383148885939267643610499165547173688526611655565983266, 1663034038392638019663751539798482620529440177255978857860396661402241765, 195010902966989490575717974693584226587055004598501435937221613942, 22793445982889988463955142778881073876447701144307246237674, 1365789105876519914578666510874371398026715546128362, 108808351786022866896543333490773769461768685, 4142207432682202784664488735485426266, 371134325847977439174541771562, 7902472417023964671878, 704612088455013, 841954, 1], 1]], 'hecke_orbit_code': 206309425206, 'p': 61}
  • id: 181318
    {'charpoly_factorization': [[[6337226655332939286786233114167375689377366382963293424836688877292415095420653341620007797125532146647817584583137025, -1167386821953845809187066011127958508094382811216521574353484681941645125666083231840477135483429129229351704460, 193192064316142851278833669726053678584262423679981997005164204018737330912587780850712190020101326663824, -13673783452134626939990897546503492677361260597471482637932826761181728086540044608871573354688648, 1107557187531045186200141908602653821328496758084326493348042483641192040795204097914182514, -42426558229571864626943188549213055143845238581085605099088158561490050810712270548, 3428183148983208025851013871368201561175885369045309014119415989138491828704, -101000378413345797995806461416725238244708366910649179595596437752732, 6466508020908010646602388363629225488173326739689783877909235, -140531696879973581057652844487000611771710429574821188, 8165388885343266326145665696195605361890400224, -146703165858766480996442587134938853132, 6781818425797790225827682679410, -80194502054532228021688, 3399238513244880, -29946644, 1], 1]], 'hecke_orbit_code': 206309425206, 'p': 67}
  • id: 181319
    {'charpoly_factorization': [[[26398024732806016528544967622681377002789030562050730151820905915446455082355900645363883492496168522626465841140465664, 0, 465737487319311316584688963808922069368916810890201939908266666090085164839428974908732521966300651585536, 0, 3356271223521891974281788454292367763669002782904988295379367753251328618439259114421850112, 0, 12709182423878685239667688726451059568954802507224435181767418498856795195392, 0, 27158984405400176114776732517189123569430953998806601278488320, 0, 32953161116504323338360551218068217707501672192, 0, 22037087814197595859508886196848, 0, 7479316397672136, 0, 1], 1]], 'hecke_orbit_code': 206309425206, 'p': 71}
  • id: 181320
    {'charpoly_factorization': [[[79703465673501658976047964160583511492313241627269028768000, -10456508812847919437527097274771190707283720617690880, -1560700851823692138927090085068358510395688448, 32349720220906647124206075005070794432, 4525591523560716468072862030900, -26614583683625802895756, -4147917296390051, 3773882, 1], 2]], 'hecke_orbit_code': 206309425206, 'p': 73}
  • id: 181321
    {'charpoly_factorization': [[[10706390415105069613004009185120655828103690944638915237577404115095466970110409298889836785597316701560554450121928010000, -1231606531706442994461430974922312385712596666279314932384243727454436205246943119306969724148226303124904569726000, 127174218907793896096113977243974656379935927648666444157308145425900956157042772922185067091826655595169500, -5484369595640722785892200586456987136674321294387302924695223294566267884815346942909458778806600460, 281154563422151375233499379591508954894494230757011860185296540547587653119520713125331967781, -7968357755973176216880397909476591415609288583676488476792700945551721561953161920538, 341514745693934824721595470048421782304676973892647341443211618099103713956649, -7647399809337827743495427555719651361424495377137486121612436874266530, 269058496585493851782997069581589960253221982297132121699541770, -4263067155052482171625186557551749762905380406541559642, 135556583532066770420897268404345889558664228741, -1630807560827312403634805500358387104278, 46499496220230488283536128132010, -301350643189545492116950, 8228321342732349, -33813002, 1], 1]], 'hecke_orbit_code': 206309425206, 'p': 79}
  • id: 181322
    {'charpoly_factorization': [[[277762120519468213650143405232648974283483230859410248735414266801798713242064438783983440330572788715040717112157462784, -175442610393315595947081703456509085219568003102024550762890320590652306677387257046676180565316706409763813800064, 35423708987394024706974983708116133605363453807615325331838641526293427493414400441510745025013775193360496, 956604979536142340891486280171106768898424658949497506992720737609940210247002571001178377422253992, -82445478350536207049794862695861669056403349823275434708087008808350912616689013010447430567, -1971376869810237749012810427559359817179758347300452727252777569947547609594964000290, 133126212022759571160711524422435978387673993339631187076647147905422261809917, 3046541026769995018075929874560551261132333408701489386761719070281494, -102346046675431697682841626530230278859239842509623863534179722, -2656320017116831106827903790521802013743526514822610250, 54688540195381508467174700489378593204160702193, 1812595259519303725274994605904350452146, -6087628475975374368087452627754, -526681275462948723592734, -264680433993267, 114200226, 1], 1]], 'hecke_orbit_code': 206309425206, 'p': 83}
  • id: 181323
    {'charpoly_factorization': [[[233180829044448021593494182531751754301348782876707657147123291969650399351747854681074249712864366457926807715840000, 0, 76384623083268963919128215539562509884656045442588541607586651744297146011162104150581347157165054361600, 0, 5968183904517344214203578068244644918485249437482814229947922506679412979951926463976964096, 0, 105673339337048943306687501420885259042053586217149652115589987358074431700992, 0, 306594372793069907482041977454369072303056024856853787392815360, 0, 258158427723438599416183128596405851319371495680, 0, 94116901422172842569623008163680, 0, 15777982740133008, 0, 1], 1]], 'hecke_orbit_code': 206309425206, 'p': 89}
  • id: 181324
    {'charpoly_factorization': [[[23034884159069442700860626155939342798278738126894917557466348838612361598754773962964878492914047859038392869153157339680625, 1453311351328373761738430867961189361339080232299518538012061864002205785374433535835009780126713425972499344257663500, 208136012210952114796424995209557399732888687070225141578755307175000327380075039358336390903686189424532463700, -8556212565536570793143773402574230493600950054364395410906735561427191910490867315451922949910858184120, 512676575998598504893148055342789950024780480114949021585205006815267993629535059934753321774866, -8037359326893263969276304081130643959459340354362665482873907687536358706674724445349132, 211826947574939801341529448763325218321520355952009237247449221659303966292816688, -1379134248034242163216363847116916730641679871231402203783719726757821756, 47897159079618417305436694452288074683236139885999672513322240619, -182859607896727049419915240667268969253727761708335593420, 6907291770430810379614440442893921465056918342128, -2345431077574208168709972727214899085628, 639213322363898937341218248881762, 291120194670811729128680, 35649089462728260, 89415484, 1], 1]], 'hecke_orbit_code': 206309425206, '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': 4, 'hecke_orbit': 1, 'label': '54.9.d.a', 'level': 54, 'portrait': 'data:image/png;base64,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', 'weight': 9}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 7117254
    {'hecke_orbit_code': 206309425206, 'n': 1, 'trace_an': 16}
  • id: 7117255
    {'hecke_orbit_code': 206309425206, 'n': 2, 'trace_an': 0}
  • id: 7117256
    {'hecke_orbit_code': 206309425206, 'n': 3, 'trace_an': 0}
  • id: 7117257
    {'hecke_orbit_code': 206309425206, 'n': 4, 'trace_an': 1024}
  • id: 7117258
    {'hecke_orbit_code': 206309425206, 'n': 5, 'trace_an': 882}
  • id: 7117259
    {'hecke_orbit_code': 206309425206, 'n': 6, 'trace_an': 0}
  • id: 7117260
    {'hecke_orbit_code': 206309425206, 'n': 7, 'trace_an': -1846}
  • id: 7117261
    {'hecke_orbit_code': 206309425206, 'n': 8, 'trace_an': 0}
  • id: 7117262
    {'hecke_orbit_code': 206309425206, 'n': 9, 'trace_an': 0}
  • id: 7117263
    {'hecke_orbit_code': 206309425206, 'n': 10, 'trace_an': 0}
  • id: 7117264
    {'hecke_orbit_code': 206309425206, 'n': 11, 'trace_an': -45756}
  • id: 7117265
    {'hecke_orbit_code': 206309425206, 'n': 12, 'trace_an': 0}
  • id: 7117266
    {'hecke_orbit_code': 206309425206, 'n': 13, 'trace_an': -3370}
  • id: 7117267
    {'hecke_orbit_code': 206309425206, 'n': 14, 'trace_an': 94464}
  • id: 7117268
    {'hecke_orbit_code': 206309425206, 'n': 15, 'trace_an': 0}
  • id: 7117269
    {'hecke_orbit_code': 206309425206, 'n': 16, 'trace_an': -131072}
  • id: 7117270
    {'hecke_orbit_code': 206309425206, 'n': 17, 'trace_an': 0}
  • id: 7117271
    {'hecke_orbit_code': 206309425206, 'n': 18, 'trace_an': 0}
  • id: 7117272
    {'hecke_orbit_code': 206309425206, 'n': 19, 'trace_an': 362180}
  • id: 7117273
    {'hecke_orbit_code': 206309425206, 'n': 20, 'trace_an': 112896}
  • id: 7117274
    {'hecke_orbit_code': 206309425206, 'n': 21, 'trace_an': 0}
  • id: 7117275
    {'hecke_orbit_code': 206309425206, 'n': 22, 'trace_an': -61824}
  • id: 7117276
    {'hecke_orbit_code': 206309425206, 'n': 23, 'trace_an': -1311138}
  • id: 7117277
    {'hecke_orbit_code': 206309425206, 'n': 24, 'trace_an': 0}
  • id: 7117278
    {'hecke_orbit_code': 206309425206, 'n': 25, 'trace_an': 963394}
  • id: 7117279
    {'hecke_orbit_code': 206309425206, 'n': 26, 'trace_an': 0}
  • id: 7117280
    {'hecke_orbit_code': 206309425206, 'n': 27, 'trace_an': 0}
  • id: 7117281
    {'hecke_orbit_code': 206309425206, 'n': 28, 'trace_an': -472576}
  • id: 7117282
    {'hecke_orbit_code': 206309425206, 'n': 29, 'trace_an': 2851290}
  • id: 7117283
    {'hecke_orbit_code': 206309425206, 'n': 30, 'trace_an': 0}
  • id: 7117284
    {'hecke_orbit_code': 206309425206, 'n': 31, 'trace_an': 542438}
  • id: 7117285
    {'hecke_orbit_code': 206309425206, 'n': 32, 'trace_an': 0}
  • id: 7117286
    {'hecke_orbit_code': 206309425206, 'n': 33, 'trace_an': 0}
  • id: 7117287
    {'hecke_orbit_code': 206309425206, 'n': 34, 'trace_an': 220416}
  • id: 7117288
    {'hecke_orbit_code': 206309425206, 'n': 35, 'trace_an': 0}
  • id: 7117289
    {'hecke_orbit_code': 206309425206, 'n': 36, 'trace_an': 0}
  • id: 7117290
    {'hecke_orbit_code': 206309425206, 'n': 37, 'trace_an': 3343328}
  • id: 7117291
    {'hecke_orbit_code': 206309425206, 'n': 38, 'trace_an': 1314432}
  • id: 7117292
    {'hecke_orbit_code': 206309425206, 'n': 39, 'trace_an': 0}
  • id: 7117293
    {'hecke_orbit_code': 206309425206, 'n': 40, 'trace_an': 0}
  • id: 7117294
    {'hecke_orbit_code': 206309425206, 'n': 41, 'trace_an': -9218592}
  • id: 7117295
    {'hecke_orbit_code': 206309425206, 'n': 42, 'trace_an': 0}
  • id: 7117296
    {'hecke_orbit_code': 206309425206, 'n': 43, 'trace_an': 339512}
  • id: 7117297
    {'hecke_orbit_code': 206309425206, 'n': 44, 'trace_an': 0}
  • id: 7117298
    {'hecke_orbit_code': 206309425206, 'n': 45, 'trace_an': 0}
  • id: 7117299
    {'hecke_orbit_code': 206309425206, 'n': 46, 'trace_an': 7417344}
  • id: 7117300
    {'hecke_orbit_code': 206309425206, 'n': 47, 'trace_an': 34980606}
  • id: 7117301
    {'hecke_orbit_code': 206309425206, 'n': 48, 'trace_an': 0}
  • id: 7117302
    {'hecke_orbit_code': 206309425206, 'n': 49, 'trace_an': -2364654}
  • id: 7117303
    {'hecke_orbit_code': 206309425206, 'n': 50, 'trace_an': -27744768}
  • id: 7117304
    {'hecke_orbit_code': 206309425206, 'n': 51, 'trace_an': 0}
  • id: 7117305
    {'hecke_orbit_code': 206309425206, 'n': 52, 'trace_an': 431360}
  • id: 7117306
    {'hecke_orbit_code': 206309425206, 'n': 53, 'trace_an': 0}
  • id: 7117307
    {'hecke_orbit_code': 206309425206, 'n': 54, 'trace_an': 0}
  • id: 7117308
    {'hecke_orbit_code': 206309425206, 'n': 55, 'trace_an': -4584276}
  • id: 7117309
    {'hecke_orbit_code': 206309425206, 'n': 56, 'trace_an': 12091392}
  • id: 7117310
    {'hecke_orbit_code': 206309425206, 'n': 57, 'trace_an': 0}
  • id: 7117311
    {'hecke_orbit_code': 206309425206, 'n': 58, 'trace_an': -7852800}
  • id: 7117312
    {'hecke_orbit_code': 206309425206, 'n': 59, 'trace_an': -93924216}
  • id: 7117313
    {'hecke_orbit_code': 206309425206, 'n': 60, 'trace_an': 0}
  • id: 7117314
    {'hecke_orbit_code': 206309425206, 'n': 61, 'trace_an': -841954}
  • id: 7117315
    {'hecke_orbit_code': 206309425206, 'n': 62, 'trace_an': 0}
  • id: 7117316
    {'hecke_orbit_code': 206309425206, 'n': 63, 'trace_an': 0}
  • id: 7117317
    {'hecke_orbit_code': 206309425206, 'n': 64, 'trace_an': -33554432}
  • id: 7117318
    {'hecke_orbit_code': 206309425206, 'n': 65, 'trace_an': 126568134}
  • id: 7117319
    {'hecke_orbit_code': 206309425206, 'n': 66, 'trace_an': 0}
  • id: 7117320
    {'hecke_orbit_code': 206309425206, 'n': 67, 'trace_an': 29946644}
  • id: 7117321
    {'hecke_orbit_code': 206309425206, 'n': 68, 'trace_an': 5476608}
  • id: 7117322
    {'hecke_orbit_code': 206309425206, 'n': 69, 'trace_an': 0}
  • id: 7117323
    {'hecke_orbit_code': 206309425206, 'n': 70, 'trace_an': -34359552}
  • id: 7117324
    {'hecke_orbit_code': 206309425206, 'n': 71, 'trace_an': 0}
  • id: 7117325
    {'hecke_orbit_code': 206309425206, 'n': 72, 'trace_an': 0}
  • id: 7117326
    {'hecke_orbit_code': 206309425206, 'n': 73, 'trace_an': -7547764}
  • id: 7117327
    {'hecke_orbit_code': 206309425206, 'n': 74, 'trace_an': -35124480}
  • id: 7117328
    {'hecke_orbit_code': 206309425206, 'n': 75, 'trace_an': 0}
  • id: 7117329
    {'hecke_orbit_code': 206309425206, 'n': 76, 'trace_an': 23179520}
  • id: 7117330
    {'hecke_orbit_code': 206309425206, 'n': 77, 'trace_an': -9309294}
  • id: 7117331
    {'hecke_orbit_code': 206309425206, 'n': 78, 'trace_an': 0}
  • id: 7117332
    {'hecke_orbit_code': 206309425206, 'n': 79, 'trace_an': 33813002}
  • id: 7117333
    {'hecke_orbit_code': 206309425206, 'n': 80, 'trace_an': 0}
  • id: 7117334
    {'hecke_orbit_code': 206309425206, 'n': 81, 'trace_an': 0}
  • id: 7117335
    {'hecke_orbit_code': 206309425206, 'n': 82, 'trace_an': -137346048}
  • id: 7117336
    {'hecke_orbit_code': 206309425206, 'n': 83, 'trace_an': -114200226}
  • id: 7117337
    {'hecke_orbit_code': 206309425206, 'n': 84, 'trace_an': 0}
  • id: 7117338
    {'hecke_orbit_code': 206309425206, 'n': 85, 'trace_an': -125696772}
  • id: 7117339
    {'hecke_orbit_code': 206309425206, 'n': 86, 'trace_an': 171379584}
  • id: 7117340
    {'hecke_orbit_code': 206309425206, 'n': 87, 'trace_an': 0}
  • id: 7117341
    {'hecke_orbit_code': 206309425206, 'n': 88, 'trace_an': 7913472}
  • id: 7117342
    {'hecke_orbit_code': 206309425206, 'n': 89, 'trace_an': 0}
  • id: 7117343
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