Embedded newform data - 225.2.f.b.107.2

Formats: - HTML - YAML - JSON - 2025-07-11T16:32:13.080981

• 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': 900, 'analytic_conductor': 1.7966340454788086, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 15, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 4, 'char_parity': 1, 'char_values': [225, 4, [101, 127], [2, 1]], 'cm_discs': [], 'conrey_index': 107, 'dim': 8, 'field_disc': 5308416, 'field_disc_factorization': [[2, 16], [3, 4]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [36, 0, 0, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503943258308833, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 576, 'hecke_ring_index_factorization': [[2, 6], [3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 5, 2, 1, 2, 0], [1, 2, 5, 3, -1, 4, 0], [1, 1, 15, 4, -1, 2, 0], [1, 2, 15, 5, 1, 4, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '225.2.f.b', 'level': 225, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '225.2.f.b', 'nf_label': '8.0.5308416.1', 'prim_orbit_index': 5, 'qexp_display': 'q-\\beta_{6} q^{2}-4\\beta_{2} q^{4}+\\beta_1 q^{7}+2\\beta_{4} q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '225.2.f', 'trace_display': [0, 0, 0, 0], 'trace_hash': 866834303588837336, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.762', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1029.931', 'prec': 27}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '168025.710', 'prec': 34}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.880', 'prec': 17}, 'traces': [8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 344, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 280, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -448, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 368, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -280, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -248, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, '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], [-1.224744871391589, 1.224744871391589], [0.0, 0.0], [0.0, -2.0], [0.0, 0.0], [0.0, 0.0], [0.4629100498862757, 0.4629100498862757], [1.224744871391589, 1.224744871391589], [0.0, 0.0], [0.0, 0.0], [0.0, 1.2792042981336627], [0.0, 0.0], [-1.0190493307301363, 1.0190493307301363], [-1.1338934190276817, 0.0], [0.0, 0.0], [-1.0, 0.0], [0.42008402520840293, -0.42008402520840293], [0.0, 0.0], [0.0, 1.1470786693528088], [0.0, 0.0], [0.0, 0.0], [-1.5666989036012806, -1.5666989036012806], [-0.3611575592573076, -0.3611575592573076], [0.0, 0.0], [0.0, 0.0], [0.0, -2.496150883013531], [0.0, 0.0], [0.9258200997725514, -0.9258200997725514], [-0.7878385971583354, 0.0], [0.0, 0.0], [0.1796053020267749, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 1.028991510855053], [0.0, 0.0], [0.0, 0.0], [0.4026936331284146, 0.4026936331284146], [-1.404878717372541, -1.404878717372541], [0.0, 0.0], [0.0, 0.0], [0.0, 1.3251783128981585], [0.0, 0.0], [-0.1867718419094071, 0.1867718419094071], [2.5584085962673253, 0.0], [0.0, 0.0], [0.8846517369293828, 0.0], [0.7579367289598671, -0.7579367289598671], [0.0, 0.0], [0.0, -0.5714285714285714], [0.0, 0.0], [0.0, 0.0], [2.0380986614602725, 2.0380986614602725], [0.951661902861773, 0.951661902861773], [0.0, 0.0], [0.0, 0.0], [0.0, 1.1338934190276817], [0.0, 0.0], [0.9649012813540153, -0.9649012813540153], [1.6570343122169822, 0.0], [0.0, 0.0], [-0.8962581595302718, 0.0], [-0.21997067253202993, 0.21997067253202993], [0.0, 0.0], [0.0, -1.0], [0.0, 0.0], [0.0, 0.0], [0.44887920124843483, 0.44887920124843483], [-0.8401680504168059, -0.8401680504168059], [0.0, 0.0], [0.0, 0.0], [0.0, -1.007017629956027], [0.0, 0.0], [0.28669108954049793, -0.28669108954049793], [-0.9863939238321437, 0.0], [0.0, 0.0], [2.2941573387056176, 0.0], [-0.592156525463792, 0.592156525463792], [0.0, 0.0], [0.0, -0.2250175801852048], [0.0, 0.0], [0.0, 0.0], [-1.6230053424013782, -1.6230053424013782], [-0.19011727515734336, -0.19011727515734336], [0.0, 0.0], [0.0, 0.0], [0.0, -0.457495710997814], [0.0, 0.0], [-1.5666989036012806, 1.5666989036012806], [-0.8994380267950337, 0.0], [0.0, 0.0], [-0.9434563530497264, 0.0], [-0.7223151185146152, 0.7223151185146152], [0.0, 0.0], [0.0, 1.856558243265828], [0.0, 0.0], [0.0, 0.0], [-0.8704780059041621, -0.8704780059041621], [0.6998542122237652, 0.6998542122237652], [0.0, 0.0], [0.0, 0.0], [0.0, -0.8443170536763502], [0.0, 0.0], [1.2067769800636945, -1.2067769800636945], [-2.496150883013531, 0.0], [0.0, 0.0], [-2.331086069657434, 0.0], [1.0046620299347055, -1.0046620299347055], [0.0, 0.0], [0.0, -0.4789131426105757], [0.0, 0.0], [0.0, 0.0], [-0.4629100498862757, -0.4629100498862757], [0.9776258038684231, 0.9776258038684231], [0.0, 0.0], [0.0, 0.0], [0.0, 1.5756771943166707], [0.0, 0.0], [-2.029444275607638, 2.029444275607638], [0.3889222341312986, 0.0], [0.0, 0.0], [-0.6363636363636364, 0.0], [1.097687584327565, -1.097687584327565], [0.0, 0.0], [0.0, -0.3592106040535498], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.224744871391589, 1.224744871391589], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.5309942440535915, 0.5309942440535915], [-1.099524999206747, 0.0], [0.0, 0.0], [1.028991510855053, 0.0], [-0.7398954355004851, 0.7398954355004851], [0.0, 0.0], [0.0, 0.16963778593599418], [0.0, 0.0], [0.0, 0.0], [1.2333396776895569, 1.2333396776895569], [-1.3035722838802224, -1.3035722838802224], [0.0, 0.0], [0.0, 0.0], [0.0, 0.7022468831767834], [0.0, 0.0], [0.8053872662568292, -0.8053872662568292], [0.34757066781809537, 0.0], [0.0, 0.0], [1.0579249964025073, 0.0], [-1.404878717372541, 1.404878717372541], [0.0, 0.0], [0.0, -1.4504813352456845], [0.0, 0.0], [0.0, 0.0], [-0.48872640933830597, -0.48872640933830597], [0.2755891273047752, 0.2755891273047752], [0.0, 0.0], [0.0, 0.0], [0.0, -0.3343669275452117], [0.0, 0.0], [0.8633647971779571, -0.8633647971779571], [2.650356625796317, 0.0], [0.0, 0.0], [0.46569031542379974, 0.0], [-1.3403011548263108, 1.3403011548263108], [0.0, 0.0], [0.0, -1.0769230769230769], [0.0, 0.0], [0.0, 0.0], [0.3735436838188142, 0.3735436838188142], [0.13168538439184413, 0.13168538439184413], [0.0, 0.0], [0.0, 0.0], [0.0, -1.2792042981336627], [0.0, 0.0], [1.1015821104517882, -1.1015821104517882], [-0.317109853549014, 0.0], [0.0, 0.0], [1.412258877869616, 0.0], [1.155493329779465, -1.155493329779465], [0.0, 0.0], [0.0, -0.8846517369293828], [0.0, 0.0], [0.0, 0.0], [0.537373290623879, 0.537373290623879], [-1.5158734579197342, -1.5158734579197342], [0.0, 0.0], [0.0, 0.0], [0.0, -0.9209601181739716], [0.0, 0.0], [-1.146067843799255, 1.146067843799255], [2.1322269467806, 0.0], [0.0, 0.0], [-1.1428571428571428, 0.0], [-0.12340351046845907, 0.12340351046845907], [0.0, 0.0], [0.0, 1.7722030125208397], [0.0, 0.0], [0.0, 0.0], [1.034072981318567, 1.034072981318567], [-0.3646984043128985, -0.3646984043128985], [0.0, 0.0], [0.0, 0.0], [0.0, 2.9559878344928796], [0.0, 0.0], [1.0190493307301363, -1.0190493307301363], [-1.4673479641335554, 0.0], [0.0, 0.0], 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[0.9133312776307471, -0.9133312776307471], [1.0539597877798408, 0.0], [0.0, 0.0], [3.5444060250416793, 0.0], [0.12270477468906049, -0.12270477468906049], [0.0, 0.0], [0.0, -0.6367942239095025], [0.0, 0.0], [0.0, 0.0], [1.0379338770688056, 1.0379338770688056], [0.3667364739768277, 0.3667364739768277], [0.0, 0.0], [0.0, 0.0], [0.0, -0.4483219332480461], [0.0, 0.0], [1.034072981318567, -1.034072981318567], [1.789959636589062, 0.0], [0.0, 0.0], [-1.2290162276360912, 0.0], [-0.729396808625797, 0.729396808625797], [0.0, 0.0], [0.0, -1.261799347019007], [0.0, 0.0], [0.0, 0.0], [-0.21424199589001586, -0.21424199589001586], [-0.6661570994694826, -0.6661570994694826], [0.0, 0.0], [0.0, 0.0], [0.0, -0.740345904604926], [0.0, 0.0], [0.6403788368442599, -0.6403788368442599], [2.9559878344928796, 0.0], [0.0, 0.0], [-1.8789003017258967, 0.0], [-0.48183446308729466, 0.48183446308729466], [0.0, 0.0], [0.0, -0.34731435582359393], [0.0, 0.0], [0.0, 0.0], [1.0190493307301363, 1.0190493307301363], [-0.24004801440480167, -0.24004801440480167], [0.0, 0.0], [0.0, 0.0], [0.0, 2.934695928267111], [0.0, 0.0], [0.5076973145938665, -0.5076973145938665], [0.4394166682583466, 0.0], [0.0, 0.0], [-0.3793103448275862, 0.0], [1.1938082539790085, -1.1938082539790085], [0.0, 0.0], [0.0, -1.5145424598073314], [0.0, 0.0], [0.0, 0.0], [-0.2945791226549027, -0.2945791226549027], [-0.951661902861773, -0.951661902861773], [0.0, 0.0], [0.0, 0.0], [0.0, -0.29087169933823176], [0.0, 0.0], [0.8806237797723759, -0.8806237797723759], [1.0162612288412374, 0.0], [0.0, 0.0], [2.4609093372887876, 0.0], [0.23666291405530396, -0.23666291405530396], [0.0, 0.0], [0.0, -0.2729564775739762], [0.0, 0.0], [0.0, 0.0], [1.7520289861887204, 1.7520289861887204], [0.2358387806852107, 0.2358387806852107], [0.0, 0.0], [0.0, 0.0], [0.0, 0.14417079939966382], [0.0, 0.0], [0.16628219864210797, -0.16628219864210797], [0.28784345572855, 0.0], [0.0, 0.0], [-0.9148600992217912, 0.0], [0.5865464152543313, -0.5865464152543313], [0.0, 0.0], [0.0, 1.0147651372376074], [0.0, 0.0], [0.0, 0.0], [0.041356695743037936, 0.041356695743037936], [0.6429927181044179, 0.6429927181044179], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.4533754116327436, 0.4533754116327436], [1.7123453789561787, 0.0], [0.0, 0.0], [-2.015739422050187, 0.0], [-0.29078287207506043, 0.29078287207506043], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.8201498277207122, 0.8201498277207122], [0.8694130545089048, 0.8694130545089048], [0.0, 0.0], [0.0, 0.0], [0.0, 1.1338934190276817], [0.0, 0.0], [-1.9617727540492724, 1.9617727540492724], [-0.14149998919097345, 0.0], [0.0, 0.0], [0.7995559255833234, 0.0], [2.07615540989374, -2.07615540989374], [0.0, 0.0], [0.0, 2.3946843788558616], [0.0, 0.0], [0.0, 0.0], [0.8133397195813887, 0.8133397195813887], [-1.8393639965744337, -1.8393639965744337], [0.0, 0.0], [0.0, 0.0], [0.0, -0.42169487098510955], [0.0, 0.0], [0.24319883553073385, -0.24319883553073385], [0.0, 0.0], [0.0, 0.0], [-0.13216372009101796, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, -0.032986956237702106], [0.0, 0.0], [0.0, 0.0], [-0.9680357821320809, -0.9680357821320809], [1.026200641840137, 1.026200641840137], [0.0, 0.0], [0.0, 0.0], [0.0, 2.7884364740410383], [0.0, 0.0], [0.0, 0.0], [0.13919652569807733, 0.0], [0.0, 0.0], [0.6554735253444622, 0.0], [-1.361645054050021, 1.361645054050021], [0.0, 0.0], [0.0, 2.159585970312172], [0.0, 0.0], [0.0, 0.0], [-0.44011738028753566, -0.44011738028753566], [-0.5089811722340025, -0.5089811722340025], [0.0, 0.0], [0.0, 0.0], [0.0, -1.797979737674539], [0.0, 0.0], [0.4785981650670156, -0.4785981650670156], [-1.6570343122169822, 0.0], [0.0, 0.0], [0.5852304798861196, 0.0], [0.7316931515356857, -0.7316931515356857], [0.0, 0.0], [0.0, 0.584304725845076], [0.0, 0.0], [0.0, 0.0], [0.4763305116224668, 0.4763305116224668], [-1.0099193239677118, -1.0099193239677118], [0.0, 0.0], [0.0, 0.0], [0.0, -2.1954688979824715], [0.0, 0.0], [2.1367643773180434, -2.1367643773180434], [-0.6850100659163145, 0.0], [0.0, 0.0], [-0.967741935483871, 0.0], [1.005184067917419, -1.005184067917419], [0.0, 0.0], [0.0, -0.6441566264008308], [0.0, 0.0], [0.0, 0.0], [-0.6301622384295195, -0.6301622384295195], [-0.7793830999764657, -0.7793830999764657], [0.0, 0.0], [0.0, 0.0], [0.0, -0.40845845690788124], [0.0, 0.0], [-0.07852703595022843, 0.07852703595022843], [-2.039144644932497, 0.0], [0.0, 0.0], [0.8962581595302718, 0.0], [0.16623964401603886, -0.16623964401603886], [0.0, 0.0], [0.0, -1.1505649897810675], [0.0, 0.0], [0.0, 0.0], [-2.344990761188858, -2.344990761188858], [0.4419507298436774, 0.4419507298436774], [0.0, 0.0], [0.0, 0.0], [0.0, -0.8106792283998809], [0.0, 0.0], [-2.33785950059759, 2.33785950059759], [0.13490812512398637, 0.0], [0.0, 0.0], [-0.9847474538841837, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 1.141850663451992], [0.0, 0.0], [0.0, 0.0], [-1.1636417775929493, -1.1636417775929493], [-0.054827110301821455, -0.054827110301821455], [0.0, 0.0], [0.0, 0.0]], 'angles': [0.2916666666666667, None, None, -0.07192609624758585, 0.11045044208834737, 0.25306142708885004, -0.32699955308333634, 0.09721501376644517, -0.16609978582493157, -0.3144405292045783, -0.23568818373921244, -0.07904513891639244, 0.11527121332072729, -0.39608080408048596, -0.28497824518607767, -0.007518489269404367, -0.09459246098698498, -0.32395475241154326, -0.07359418191069422, -0.4160210718903653, -0.34251074033137135, -0.4820556760265056, -0.1464606853207563, -0.32423793770014303, -0.23052716563319833, -0.43063627916267433, -0.2122926424763759, -0.2492562744857423, -0.46151536391390047, -0.003522277055944113, -0.125, 0.0, -0.46262817746092516, 0.013515584976810956, -0.22220005610710739, -0.16129060616489777, -0.18115920135261512, -0.2704860517631602, 0.3233171814272592, -0.1101586875720134, -0.27534174709724146, -0.12521982754904945, -0.4238386411768578, 0.275373006163761, -0.38890545898440554, 0.17329827584301638, -0.1881966803167503, -0.4218221265197468, -0.26231879621213633, -0.4947404153822479, -0.20493835588457343, -0.1575296263976879, -0.22425772855174833, 0.043147183004261895, -0.4796524043372299, -0.19984562226781688, -0.4302048352510473, -0.18009841221610537, -0.18433577173627064, -0.4798052144994414, -0.4708086727088292, -0.11360266779825214, 0.06917253786594971, -0.4808089326614555, -0.3515429548497569, -0.3530342645736293, -0.3533364436166903, 0.00011806750851882795, -0.2742226318421368, -0.4295686239420588, -0.02521745644976721, -0.25, -0.1916873607050215, -0.3678609241548956, -0.4959119303333268, -0.14497270411697277, -0.17921784375484962, -0.1742032419914088, -0.43035943818430594, 0.043835507199975345, -0.28322837120943894, -0.33102188091065843, -0.3731534892564241, -0.36837429236189, -0.4577264016307359, -0.026155954375873373, -0.1021799693413385, -0.125, 0.06466217454628892, -0.22609542650563233, -0.2678716019303783, -0.41869607571401385, -0.024829745358595688, 0.20334378130588296, 0.0035626744036762934, -0.05304359347877034, -0.23501317952309111, 0.014812716136202516, -0.44338135491027314, -0.2534215662822839, -0.06462988973664836, -0.4523410495885583, 0.01593700776263552, -0.2070183084835678, -0.1921188728365723, -0.24510089159823187, -0.44126069343344737, -0.1572383160520523, -0.33704312433322725, -0.07976955946265178, -0.2200636665670244, -0.23524636741715685, -0.2929384703886281, 0.04206851277218667, -0.1273334298167035, 0.11691662777064037, 0.27792020072476215, -0.4549533671626272, -0.21338050582791707, -0.2235752527243732, -0.31358190872280395, -0.3643660059937064, -0.3053766235566476, -0.09498818412395396, -0.3541480621925857, -0.4343998429233011, 0.13984539057091241, -0.3147246472969106, -0.43427050734051237, -0.4726493619067933, -0.47055934077235695, -0.21563256956561272, -0.09148786209532155, -0.057905491355216006, -0.42367602123602227, -0.4124281611759207, -0.2494852650293466, -0.21292957494188178, -0.3611734758010063, -0.07359489544085879, -0.3553227434834504, -0.43964921085436504, -0.30020968429963635, -0.43033344579068294, -0.47222076768999566, -0.21474471489394564, -0.26801886320741847, -0.3482401589936505, -0.4782108112067009, -0.09833422848247025, -0.12034507287111236, 0.0, -0.42693971244980455, -0.40795965565282183, -0.0274780599840606, -0.46618883682597767, -0.4973748623979591, -0.2389141302821395, -0.1753671246737208, -0.322151094340087, -0.2884527276880555, -0.49841335556998184, -0.1985033901839485, -0.4672656040460066, -0.35624811172612975, -0.07441572122549231, -0.3319353320027761, -0.47120002929005406], 'char_orbit_index': 6, 'conrey_index': 107, 'dual_conrey_index': 143, 'dual_embedding_index': 2, 'dual_embedding_m': 6, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.25881904510252074, 'embedding_root_real': 0.9659258262890683, 'hecke_orbit': 2, 'hecke_orbit_code': 4503943258308833, 'label': '225.2.f.b.107.2', 'level': 225, 'weight': 2}
• mf_newspaces •

  Column	Type
  ALdims	integer[]
  ALdims_eis_new	integer[]
  ALdims_eis_old	integer[]
  ALdims_old	integer[]
  Nk2	integer
  a4_dim	integer
  a5_dim	integer
  analytic_conductor	double precision
  char_conductor	integer
  char_degree	integer
  char_is_real	boolean
  char_orbit_index	smallint
  char_orbit_label	text
  char_order	integer
  char_parity	smallint
  char_values	jsonb
  conrey_index	integer
  cusp_dim	integer
  dihedral_dim	integer
  dim	integer
  eis_dim	integer
  eis_new_dim	integer
  hecke_cutter_primes	integer[]
  hecke_orbit_code	bigint
  hecke_orbit_dims	integer[]
  label	text
  level	integer
  level_is_powerful	boolean
  level_is_prime	boolean
  level_is_prime_power	boolean
  level_is_prime_square	boolean
  level_is_square	boolean
  level_is_squarefree	boolean
  level_primes	integer[]
  level_radical	integer
  mf_dim	integer
  mf_new_dim	integer
  num_forms	smallint
  plus_dim	integer
  prim_orbit_index	smallint
  relative_dim	integer
  s4_dim	integer
  sturm_bound	integer
  trace_bound	integer
  trace_display	numeric[]
  traces	numeric[]
  weight	smallint
  weight_parity	smallint

  
  {'Nk2': 900, 'analytic_conductor': 1.7966340454788086, 'char_conductor': 15, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 4, 'char_parity': 1, 'char_values': [225, 4, [101, 127], [2, 1]], 'conrey_index': 107, 'cusp_dim': 36, 'dim': 12, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 343630938337, 'hecke_orbit_dims': [4, 8], 'label': '225.2.f', 'level': 225, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 84, 'mf_new_dim': 12, 'num_forms': 2, 'prim_orbit_index': 5, 'relative_dim': 6, 'sturm_bound': 60, 'trace_bound': 1, 'trace_display': [0, 0, 0, 8], 'traces': [12, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -4, 0, 0, -28, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -8, 0, 0, -8, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 32, 0, 0, 32, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -12, 0, 0, -24, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -4, 0, 0, 160, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 24, 0, 0, -88, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, -40, 0, 0, -208, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -24, 0, 0, -44, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 4, 0, 0, 136, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 32, 0, 0, 32, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 36, 0, 0, 88, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -4, 0, 0, -132, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, -4, 0, 0, 72, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -40, 0, 0, -232, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, -324, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 16, 0, 0, 48, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 32, 0, 0, 448, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 12, 0, 0, 104, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -76, 0, 0, -16, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -12, 0, 0, -144, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 48, 0, 0, 8, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -72, 0, 0, 28, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 68, 0, 0, 192, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -44, 0, 0, -112, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 16, 0, 0, 96, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 68, 0, 0, -160, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -56, 0, 0, -272, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -40, 0, 0, 272, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 48, 0, 0, -136, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -48, 0, 0, -48, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 40, 0, 0, 32, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 32, 0, 0, 272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, -72, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 96, 0, 0, 16, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, -48, 0, 0, 264, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, -32, 0, 0, 8, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 16, 0, 0, 376, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, -4, 0, 0, -192, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -20, 0, 0, 360, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -112, 0, 0, -240, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -64, 0, 0, -320, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -4, 0, 0, -492, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 32, 0, 0, -224, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, -448, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -4, 0, 0, 80, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 32, 0, 0, 352, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -12, 0, 0, 352, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -32, 0, 0, 800, 0, 0, 0, 0, 0, -68, 0, 0, 0, 0, 0, 132, 0, 0, -200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, -528, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, -24, 0, 0, -132, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 68, 0, 0, 624, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 32, 0, 0, -184, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 32, 0, 0, -640, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 36, 0, 0, 128, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, -32, 0, 0, -8, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 60, 0, 0, 160, 0, 0, 0, 0, 0, -148, 0, 0, 0, 0, 0, 16, 0, 0, 16, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -48, 0, 0, -300, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, -96, 0, 0, 256, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, -312, 0, 0, 0, 0, 0, -100, 0, 0, 0], 'weight': 2, '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: 35204988
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 107, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503943258308833, 'source_is_minimal': True, 'source_label': '225.2.f.b.107.2', 'source_level': 225, 'target_conrey_index': 107, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503943258308833, 'target_is_minimal': True, 'target_label': '225.2.f.b.107.2', 'target_level': 225, 'twist_class_label': '225.2.f.b.107.1', 'twist_class_level': 225, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
  • id: 35204989
    {'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 107, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503943258308833, 'source_is_minimal': True, 'source_label': '225.2.f.b.107.2', 'source_level': 225, 'target_conrey_index': 107, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503943258308833, 'target_is_minimal': True, 'target_label': '225.2.f.b.107.4', 'target_level': 225, 'twist_class_label': '225.2.f.b.107.1', 'twist_class_level': 225, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
  • id: 35204990
    {'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 107, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503943258308833, 'source_is_minimal': True, 'source_label': '225.2.f.b.107.2', 'source_level': 225, 'target_conrey_index': 1457, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49541107763121680, 'target_is_minimal': False, 'target_label': '3600.2.w.l.1457.1', 'target_level': 3600, 'twist_class_label': '225.2.f.b.107.1', 'twist_class_level': 225, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
  • id: 35204991
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 107, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503943258308833, 'source_is_minimal': True, 'source_label': '225.2.f.b.107.2', 'source_level': 225, 'target_conrey_index': 143, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258308833, 'target_is_minimal': True, 'target_label': '225.2.f.b.143.1', 'target_level': 225, 'twist_class_label': '225.2.f.b.107.1', 'twist_class_level': 225, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
  • id: 35204992
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 107, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503943258308833, 'source_is_minimal': True, 'source_label': '225.2.f.b.107.2', 'source_level': 225, 'target_conrey_index': 143, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503943258308833, 'target_is_minimal': True, 'target_label': '225.2.f.b.143.4', 'target_level': 225, 'twist_class_label': '225.2.f.b.107.1', 'twist_class_level': 225, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
  • id: 35204993
    {'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 107, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503943258308833, 'source_is_minimal': True, 'source_label': '225.2.f.b.107.2', 'source_level': 225, 'target_conrey_index': 107, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503943258308833, 'target_is_minimal': True, 'target_label': '225.2.f.b.107.3', 'target_level': 225, 'twist_class_label': '225.2.f.b.107.1', 'twist_class_level': 225, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
  • id: 35204994
    {'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 107, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503943258308833, 'source_is_minimal': True, 'source_label': '225.2.f.b.107.2', 'source_level': 225, 'target_conrey_index': 1457, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49541107763121680, 'target_is_minimal': False, 'target_label': '3600.2.w.l.1457.2', 'target_level': 3600, 'twist_class_label': '225.2.f.b.107.1', 'twist_class_level': 225, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
  • id: 35204995
    {'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 107, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503943258308833, 'source_is_minimal': True, 'source_label': '225.2.f.b.107.2', 'source_level': 225, 'target_conrey_index': 143, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503943258308833, 'target_is_minimal': True, 'target_label': '225.2.f.b.143.3', 'target_level': 225, 'twist_class_label': '225.2.f.b.107.1', 'twist_class_level': 225, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
  • id: 35204996
    {'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 107, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503943258308833, 'source_is_minimal': True, 'source_label': '225.2.f.b.107.2', 'source_level': 225, 'target_conrey_index': 143, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503943258308833, 'target_is_minimal': True, 'target_label': '225.2.f.b.143.2', 'target_level': 225, 'twist_class_label': '225.2.f.b.107.1', 'twist_class_level': 225, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
  • id: 35204997
    {'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 107, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503943258308833, 'source_is_minimal': True, 'source_label': '225.2.f.b.107.2', 'source_level': 225, 'target_conrey_index': 107, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258308833, 'target_is_minimal': True, 'target_label': '225.2.f.b.107.1', 'target_level': 225, 'twist_class_label': '225.2.f.b.107.1', 'twist_class_level': 225, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
  • id: 35204998
    {'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 107, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503943258308833, 'source_is_minimal': True, 'source_label': '225.2.f.b.107.2', 'source_level': 225, 'target_conrey_index': 593, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49541107763121680, 'target_is_minimal': False, 'target_label': '3600.2.w.l.593.1', 'target_level': 3600, 'twist_class_label': '225.2.f.b.107.1', 'twist_class_level': 225, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
  • id: 35204999
    {'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 107, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503943258308833, 'source_is_minimal': True, 'source_label': '225.2.f.b.107.2', 'source_level': 225, 'target_conrey_index': 593, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 49541107763121680, 'target_is_minimal': False, 'target_label': '3600.2.w.l.593.3', 'target_level': 3600, 'twist_class_label': '225.2.f.b.107.1', 'twist_class_level': 225, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
  • id: 35205000
    {'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 107, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503943258308833, 'source_is_minimal': True, 'source_label': '225.2.f.b.107.2', 'source_level': 225, 'target_conrey_index': 1457, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 49541107763121680, 'target_is_minimal': False, 'target_label': '3600.2.w.l.1457.3', 'target_level': 3600, 'twist_class_label': '225.2.f.b.107.1', 'twist_class_level': 225, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
  • id: 35205001
    {'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 107, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503943258308833, 'source_is_minimal': True, 'source_label': '225.2.f.b.107.2', 'source_level': 225, 'target_conrey_index': 593, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49541107763121680, 'target_is_minimal': False, 'target_label': '3600.2.w.l.593.2', 'target_level': 3600, 'twist_class_label': '225.2.f.b.107.1', 'twist_class_level': 225, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
  • id: 35205002
    {'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 107, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503943258308833, 'source_is_minimal': True, 'source_label': '225.2.f.b.107.2', 'source_level': 225, 'target_conrey_index': 593, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 49541107763121680, 'target_is_minimal': False, 'target_label': '3600.2.w.l.593.4', 'target_level': 3600, 'twist_class_label': '225.2.f.b.107.1', 'twist_class_level': 225, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
  • id: 35205003
    {'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 107, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503943258308833, 'source_is_minimal': True, 'source_label': '225.2.f.b.107.2', 'source_level': 225, 'target_conrey_index': 1457, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 49541107763121680, 'target_is_minimal': False, 'target_label': '3600.2.w.l.1457.4', 'target_level': 3600, 'twist_class_label': '225.2.f.b.107.1', 'twist_class_level': 225, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 538050
    {'charpoly_factorization': [[[36, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 4503943258308833, 'p': 2}
  • id: 538051
    {'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4503943258308833, 'p': 3}
  • id: 538052
    {'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4503943258308833, 'p': 5}
  • id: 538053
    {'charpoly_factorization': [[[9, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 4503943258308833, 'p': 7}
  • id: 538054
    {'charpoly_factorization': [[[18, 0, 1], 4]], 'hecke_orbit_code': 4503943258308833, 'p': 11}
  • id: 538055
    {'charpoly_factorization': [[[729, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 4503943258308833, 'p': 13}
  • id: 538056
    {'charpoly_factorization': [[[36, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 4503943258308833, 'p': 17}
  • id: 538057
    {'charpoly_factorization': [[[25, 0, 1], 4]], 'hecke_orbit_code': 4503943258308833, 'p': 19}
  • id: 538058
    {'charpoly_factorization': [[[36, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 4503943258308833, 'p': 23}
  • id: 538059
    {'charpoly_factorization': [[[-18, 0, 1], 4]], 'hecke_orbit_code': 4503943258308833, 'p': 29}
  • id: 538060
    {'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 4503943258308833, 'p': 31}
  • id: 538061
    {'charpoly_factorization': [[[144, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 4503943258308833, 'p': 37}
  • id: 538062
    {'charpoly_factorization': [[[72, 0, 1], 4]], 'hecke_orbit_code': 4503943258308833, 'p': 41}
  • id: 538063
    {'charpoly_factorization': [[[9, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 4503943258308833, 'p': 43}
  • id: 538064
    {'charpoly_factorization': [[[2916, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 4503943258308833, 'p': 47}
  • id: 538065
    {'charpoly_factorization': [[[9216, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 4503943258308833, 'p': 53}
  • id: 538066
    {'charpoly_factorization': [[[-162, 0, 1], 4]], 'hecke_orbit_code': 4503943258308833, 'p': 59}
  • id: 538067
    {'charpoly_factorization': [[[7, 1], 8]], 'hecke_orbit_code': 4503943258308833, 'p': 61}
  • id: 538068
    {'charpoly_factorization': [[[729, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 4503943258308833, 'p': 67}
  • id: 538069
    {'charpoly_factorization': [[[72, 0, 1], 4]], 'hecke_orbit_code': 4503943258308833, 'p': 71}
  • id: 538070
    {'charpoly_factorization': [[[144, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 4503943258308833, 'p': 73}
  • id: 538071
    {'charpoly_factorization': [[[4, 0, 1], 4]], 'hecke_orbit_code': 4503943258308833, 'p': 79}
  • id: 538072
    {'charpoly_factorization': [[[36, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 4503943258308833, 'p': 83}
  • id: 538073
    {'charpoly_factorization': [[[-72, 0, 1], 4]], 'hecke_orbit_code': 4503943258308833, 'p': 89}
  • id: 538074
    {'charpoly_factorization': [[[21609, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 4503943258308833, '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': 6, 'hecke_orbit': 2, 'label': '225.2.f.b', 'level': 225, 'portrait': 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', 'weight': 2}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 22366255
    {'hecke_orbit_code': 4503943258308833, 'n': 1, 'trace_an': 8}
  • id: 22366256
    {'hecke_orbit_code': 4503943258308833, 'n': 2, 'trace_an': 0}
  • id: 22366257
    {'hecke_orbit_code': 4503943258308833, 'n': 3, 'trace_an': 0}
  • id: 22366258
    {'hecke_orbit_code': 4503943258308833, 'n': 4, 'trace_an': 0}
  • id: 22366259
    {'hecke_orbit_code': 4503943258308833, 'n': 5, 'trace_an': 0}
  • id: 22366260
    {'hecke_orbit_code': 4503943258308833, 'n': 6, 'trace_an': 0}
  • id: 22366261
    {'hecke_orbit_code': 4503943258308833, 'n': 7, 'trace_an': 0}
  • id: 22366262
    {'hecke_orbit_code': 4503943258308833, 'n': 8, 'trace_an': 0}
  • id: 22366263
    {'hecke_orbit_code': 4503943258308833, 'n': 9, 'trace_an': 0}
  • id: 22366264
    {'hecke_orbit_code': 4503943258308833, 'n': 10, 'trace_an': 0}
  • id: 22366265
    {'hecke_orbit_code': 4503943258308833, 'n': 11, 'trace_an': 0}
  • id: 22366266
    {'hecke_orbit_code': 4503943258308833, 'n': 12, 'trace_an': 0}
  • id: 22366267
    {'hecke_orbit_code': 4503943258308833, 'n': 13, 'trace_an': 0}
  • id: 22366268
    {'hecke_orbit_code': 4503943258308833, 'n': 14, 'trace_an': 0}
  • id: 22366269
    {'hecke_orbit_code': 4503943258308833, 'n': 15, 'trace_an': 0}
  • id: 22366270
    {'hecke_orbit_code': 4503943258308833, 'n': 16, 'trace_an': -32}
  • id: 22366271
    {'hecke_orbit_code': 4503943258308833, 'n': 17, 'trace_an': 0}
  • id: 22366272
    {'hecke_orbit_code': 4503943258308833, 'n': 18, 'trace_an': 0}
  • id: 22366273
    {'hecke_orbit_code': 4503943258308833, 'n': 19, 'trace_an': 0}
  • id: 22366274
    {'hecke_orbit_code': 4503943258308833, 'n': 20, 'trace_an': 0}
  • id: 22366275
    {'hecke_orbit_code': 4503943258308833, 'n': 21, 'trace_an': 0}
  • id: 22366276
    {'hecke_orbit_code': 4503943258308833, 'n': 22, 'trace_an': 0}
  • id: 22366277
    {'hecke_orbit_code': 4503943258308833, 'n': 23, 'trace_an': 0}
  • id: 22366278
    {'hecke_orbit_code': 4503943258308833, 'n': 24, 'trace_an': 0}
  • id: 22366279
    {'hecke_orbit_code': 4503943258308833, 'n': 25, 'trace_an': 0}
  • id: 22366280
    {'hecke_orbit_code': 4503943258308833, 'n': 26, 'trace_an': 0}
  • id: 22366281
    {'hecke_orbit_code': 4503943258308833, 'n': 27, 'trace_an': 0}
  • id: 22366282
    {'hecke_orbit_code': 4503943258308833, 'n': 28, 'trace_an': 0}
  • id: 22366283
    {'hecke_orbit_code': 4503943258308833, 'n': 29, 'trace_an': 0}
  • id: 22366284
    {'hecke_orbit_code': 4503943258308833, 'n': 30, 'trace_an': 0}
  • id: 22366285
    {'hecke_orbit_code': 4503943258308833, 'n': 31, 'trace_an': 8}
  • id: 22366286
    {'hecke_orbit_code': 4503943258308833, 'n': 32, 'trace_an': 0}
  • id: 22366287
    {'hecke_orbit_code': 4503943258308833, 'n': 33, 'trace_an': 0}
  • id: 22366288
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  • id: 22366300
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  • id: 22366301
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  • id: 22366302
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  • id: 22366311
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  • id: 22366312
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  • id: 22366315
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  • id: 22366316
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  • id: 22366317
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  • id: 22366318
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  • id: 22366320
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  • id: 22366321
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  • id: 22366330
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  • id: 22366331
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  • id: 22366332
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  • id: 22366343
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  • id: 22366344
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  • id: 22366345
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  • id: 22366361
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  • id: 22366372
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  • id: 22366381
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  • id: 22366382
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  • id: 22366383
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  • id: 22366384
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  • id: 22366386
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  • id: 22366387
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  • id: 22366388
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  • id: 22366389
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  • id: 22366390
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  • id: 22366391
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  • id: 22366392
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  • id: 22366393
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  • id: 22366394
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  • id: 22366395
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  • id: 22366396
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  • id: 22366397
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  • id: 22366398
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  • id: 22366399
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  • id: 22366400
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  • id: 22366401
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  • id: 22366402
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  • id: 22366403
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  • id: 22366404
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  • id: 22366405
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  • id: 22366406
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  • id: 22366407
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  • id: 22366408
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  • id: 22366409
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  • id: 22366410
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  • id: 22366411
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  • id: 22366412
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  • id: 22366413
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  • id: 22366414
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  • id: 22366415
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  • id: 22366416
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  • id: 22366417
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  • id: 22366418
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  • id: 22366419
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  • id: 22366420
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  • id: 22366421
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  • id: 22366422
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  • id: 22366423
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  • id: 22366424
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  • id: 22366425
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  • id: 22366426
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  • id: 22366427
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  • id: 22366428
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  • id: 22366429
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  • id: 22366430
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  • id: 22366431
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  • id: 22366432
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  • id: 22366433
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  • id: 22366434
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  • id: 22366435
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  • id: 22366436
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  • id: 22366437
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  • id: 22366438
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  • id: 22366439
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  • id: 22366440
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  • id: 22366441
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  • id: 22366442
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  • id: 22366443
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  • id: 22366444
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  • id: 22366445
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  • id: 22366446
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  • id: 22366447
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  • id: 22366448
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  • id: 22366449
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  • id: 22366450
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  • id: 22366451
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  • id: 22366452
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  • id: 22366453
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  • id: 22366454
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  • id: 22366455
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  • id: 22366456
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  • id: 22366457
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  • id: 22366458
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  • id: 22366459
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  • id: 22366460
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  • id: 22366461
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  • id: 22366462
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  • id: 22366463
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  • id: 22366464
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  • id: 22366465
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  • id: 22366466
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  • id: 22366467
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  • id: 22366468
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  • id: 22366469
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  • id: 22366470
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  • id: 22366471
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  • id: 22366472
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  • id: 22366473
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  • id: 22366474
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  • id: 22366475
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  • id: 22366476
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  • id: 22366477
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  • id: 22366478
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  • id: 22366479
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  • id: 22366480
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  • id: 22366481
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  • id: 22366482
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  • id: 22366483
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  • id: 22366484
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  • id: 22366485
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  • id: 22366486
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  • id: 22366487
    {'hecke_orbit_code': 4503943258308833, 'n': 829, 'trace_an': 0}
  • id: 22366488
    {'hecke_orbit_code': 4503943258308833, 'n': 839, 'trace_an': 0}
  • id: 22366489
    {'hecke_orbit_code': 4503943258308833, 'n': 841, 'trace_an': -88}
  • id: 22366490
    {'hecke_orbit_code': 4503943258308833, 'n': 853, 'trace_an': 0}
  • id: 22366491
    {'hecke_orbit_code': 4503943258308833, 'n': 857, 'trace_an': 0}
  • id: 22366492
    {'hecke_orbit_code': 4503943258308833, 'n': 859, 'trace_an': 0}
  • id: 22366493
    {'hecke_orbit_code': 4503943258308833, 'n': 863, 'trace_an': 0}
  • id: 22366494
    {'hecke_orbit_code': 4503943258308833, 'n': 877, 'trace_an': 0}
  • id: 22366495
    {'hecke_orbit_code': 4503943258308833, 'n': 881, 'trace_an': 0}
  • id: 22366496
    {'hecke_orbit_code': 4503943258308833, 'n': 883, 'trace_an': 0}
  • id: 22366497
    {'hecke_orbit_code': 4503943258308833, 'n': 887, 'trace_an': 0}
  • id: 22366498
    {'hecke_orbit_code': 4503943258308833, 'n': 907, 'trace_an': 0}
  • id: 22366499
    {'hecke_orbit_code': 4503943258308833, 'n': 911, 'trace_an': 0}
  • id: 22366500
    {'hecke_orbit_code': 4503943258308833, 'n': 919, 'trace_an': 0}
  • id: 22366501
    {'hecke_orbit_code': 4503943258308833, 'n': 929, 'trace_an': 0}
  • id: 22366502
    {'hecke_orbit_code': 4503943258308833, 'n': 937, 'trace_an': 0}
  • id: 22366503
    {'hecke_orbit_code': 4503943258308833, 'n': 941, 'trace_an': 0}
  • id: 22366504
    {'hecke_orbit_code': 4503943258308833, 'n': 947, 'trace_an': 0}
  • id: 22366505
    {'hecke_orbit_code': 4503943258308833, 'n': 953, 'trace_an': 0}
  • id: 22366506
    {'hecke_orbit_code': 4503943258308833, 'n': 961, 'trace_an': -240}
  • id: 22366507
    {'hecke_orbit_code': 4503943258308833, 'n': 967, 'trace_an': 0}
  • id: 22366508
    {'hecke_orbit_code': 4503943258308833, 'n': 971, 'trace_an': 0}
  • id: 22366509
    {'hecke_orbit_code': 4503943258308833, 'n': 977, 'trace_an': 0}
  • id: 22366510
    {'hecke_orbit_code': 4503943258308833, 'n': 983, 'trace_an': 0}
  • id: 22366511
    {'hecke_orbit_code': 4503943258308833, 'n': 991, 'trace_an': -248}
  • id: 22366512
    {'hecke_orbit_code': 4503943258308833, 'n': 997, 'trace_an': 0}