Embedded newform data - 3784.1.em.b.971.1

Formats: - HTML - YAML - JSON - 2024-06-27T00:36:02.494661

• 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': 3784, 'analytic_conductor': 1.888462007803281, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 3784, 'char_degree': 48, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 117, 'char_orbit_label': 'em', 'char_order': 210, 'char_parity': -1, 'char_values': [3784, 210, [2839, 1893, 1377, 89], [105, 105, 84, 170]], 'cm_discs': [-8], 'conrey_index': 203, 'dim': 48, 'field_disc': 26166875612661493989016316532604982850320527810254134237766265869140625, 'field_disc_factorization': [[3, 24], [5, 36], [7, 40]], 'field_poly': [1, -1, 1, 0, 0, 1, -1, 2, -1, 1, 0, 0, 1, -1, 1, -1, 1, -1, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, -1, 1, -1, 1, -1, 1, 0, 0, 1, -1, 2, -1, 1, 0, 0, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 210, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, 24, 284, 3638, 39224, 233693, 977945, 3633019, 10496598, 19120654, 25555209, 31615899, 31975795, 19650774, -144829, -20303748, -34308092, -34748216, -24048665, -12960478, -6526522, -2182045, 3648287, 6205646, 5540078, 4250465, 3064144, 2143422, 1415924, 874293, 477152, 287032, 168786, 83179, 44748, 25863, 14943, 6282, 3327, 1660, 942, 317, 149, 70, 43, 10, 4, 2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4511571103452872, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 4, -1, 2, -8], [1, 1, 473, 29, 1, 105, 0], [1, 1, 3784, 117, -1, 210, 0]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '3784.1.em.b', 'level': 3784, '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, 11, 43], 'level_radical': 946, 'minimal_twist': '3784.1.em.a', 'prim_orbit_index': 117, 'projective_field': [-49434546062709201166427251259892844019692589989930345830218367552716800, 97486705796525546756542744607623850289054927878444456686168862653153280, 51145594063134443586982588997752513372804133675603502578337778975637504, 186535355016915166543075719103005081833107383024405001053621920263569408, -2684981952105385206695575671366734953934706215570435700396991013432852480, 8725455999594188044605341239936601842569146227072185749064529890200518656, -16804675857454299760489088003441523813060284723116355235324752280300814336, 23467403355797984726553707409580664107895156968250348323103109553433083904, -26119576317482367365976633991826365242124684488612321274500680282967900160, 24486837505951814487982182041298920278272298804235871108775716324032643072, -19964648704219795372897384906947091636870448558167511566880099009300529152, 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5507305917149482684728060, 2615773602859019738350212, -357870548377048655508050, 1827581169418426813874, 4502628157021136966652, -473295940091981322356, -8591697365151425338, 6443647172709825138, -527836101413082238, -18337207627609210, 6943386819074653, -440972538658261, -24711559150438, 5974515723578, -323336072955, -15283377337, 3217729542, -139373910, -9543741, 1710525, -116482, 4550, -101, 1], 'projective_image': 'D105', 'projective_image_type': 'Dn', 'qexp_display': 'q-\\zeta_{210}^{99}q^{2}+(\\zeta_{210}^{8}-\\zeta_{210}^{11})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'self_twist_discs': [-8], 'self_twist_type': 1, 'space_label': '3784.1.em', 'trace_display': [2, -2, 0, 0], 'trace_hash': 2031755157838333867, 'trace_moments': [{'__RealLiteral__': 0, 'data': '-0.192', 'prec': 20}, {'__RealLiteral__': 0, 'data': '38.873', 'prec': 20}, {'__RealLiteral__': 0, 'data': '252.456', 'prec': 24}, {'__RealLiteral__': 0, 'data': '37600.985', 'prec': 30}, {'__RealLiteral__': 0, 'data': '1151292.153', 'prec': 37}, {'__RealLiteral__': 0, 'data': '70698934.962', 'prec': 40}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.506', 'prec': 17}, 'traces': [48, 2, -2, 2, 0, 3, 0, 2, -3, 0, -1, -2, 0, 0, 0, 2, 1, 2, -2, 0, 0, 6, 0, 10, -1, 0, -2, 0, 0, 0, 0, -8, -25, -13, 0, 9, 0, 1, 0, 0, -2, 0, -1, 4, 0, 0, 0, -2, 6, 6, 8, 0, 0, -6, 0, 0, -8, 0, 3, 0, 0, 0, 0, 2, 0, -2, 1, 1, 0, 0, 0, -3, 1, 0, 50, 1, 0, 0, 0, 0, -28, 3, -25, 0, 0, 4, 0, -1, 1, 0, 0, 0, 0, 0, 0, -2, 3, 4, -8, 4, 0, 8, 0, 0, 0, 0, -2, -16, 0, 0, 0, 0, 3, 7, 0, 0, 0, 3, 0, 0, -1, 0, 2, 0, 0, 0, 0, -12, 4, 0, -2, -2, 0, 1, 0, 6, -6, 0, 8, 0, 0, 0, 0, 2, 0, 1, -2, 0, 0, 4, 0, -13, -9, 0, 0, 0, 0, 0, 0, 0, 0, -28, 1, 5, 0, -2, 0, 0, -1, 0, -1, -1, 0, 0, 0, -1, 9, 6, -9, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 10, -10, 5, 0, -1, 0, -4, 0, -1, 7, 0, 0, 1, 0, 0, 0, 0, 1, 0, -6, 0, 0, 3, 0, -2, 0, 0, -15, 0, 0, 0, 0, 0, 4, 5, -8, -1, 0, 0, 0, 0, 6, 0, 0, 5, 0, 0, 0, 0, -2, -1, 11, 0, 0, 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• 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], [0.9839295885986297, -0.17855689479863665], [0.025162654493703234, -0.0861292797389625], [0.9362348706397372, -0.3513748240813427], [0.0, 0.0], [0.009379303542606608, -0.08923811223114028], [0.0, 0.0], [0.8584487936018661, -0.5128992774059061], [0.8359358650068561, 0.5340161334749562], [0.0, 0.0], [-0.28042738930600275, 0.9598752415428891], [-0.0067055059416660555, -0.08947875837084589], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.753071466003611, -0.6579387259397126], [-0.29854829675160083, -1.5157113016989168], [0.9178542943166981, 0.3761721622086081], [-0.32704939722396786, -0.01959398318644973], [0.0, 0.0], [0.0, 0.0], [-0.10452846326765347, 0.9945218953682733], [0.0, 0.0], [-0.022574794947664904, -0.08684348359314488], [0.9714900382928674, -0.2370803777154975], [0.0, 0.0], [0.13460163742337727, -0.11759790914095176], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.6234898018587335, -0.7818314824680298], [0.07561706568567354, 0.04830601812000731], [-0.5643912062421823, -1.4380453406995208], [0.0, 0.0], [0.9702721313941725, 0.2062377081333892], [0.0, 0.0], [-0.32529221965651767, 0.03911782499842561], [0.0, 0.0], [0.0, 0.0], [-0.16103210366578494, 1.1887867272883585], [0.0, 0.0], [-0.9995524322835033, -0.029915466169398455], [0.07473009358642425, 0.9972037971811801], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.037718511469442655, -0.08141698779770389], [-0.10452846326765347, 0.9945218953682733], [0.9135454576426009, -0.4067366430758002], [-0.1380593903483771, -0.012425570030341606], [0.0, 0.0], [0.0, 0.0], [0.11144061624366496, -0.1397421127742459], [0.0, 0.0], [0.0, 0.0], [-0.009917046643786866, 0.027675492392886133], [0.0, 0.0], [1.3581879507082324, 0.81147952410396], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.4738686624729987, -0.880595531856738], [0.0, 0.0], [0.0830272409267355, 0.03402777209303833], [-0.7147148928672402, 1.8210638476448242], [-0.8120941179815088, -1.3141594192223949], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], 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-0.09047619047619047, -0.37142857142857144], 'char_orbit_index': 117, 'conrey_index': 971, 'dual_conrey_index': 2611, 'dual_embedding_index': 1, 'dual_embedding_m': 34, 'embedding_index': 1, 'embedding_m': 11, 'embedding_root_imag': 0.029915466169398455, 'embedding_root_real': 0.9995524322835033, 'hecke_orbit': 2, 'hecke_orbit_code': 4511571103452872, 'label': '3784.1.em.b.971.1', 'level': 3784, 'weight': 1}
• 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': 3784, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 1.888462007803281, 'char_conductor': 3784, 'char_degree': 48, 'char_is_real': False, 'char_orbit_index': 117, 'char_orbit_label': 'em', 'char_order': 210, 'char_parity': -1, 'char_values': [3784, 210, [2839, 1893, 1377, 89], [105, 105, 84, 170]], 'conrey_index': 203, 'cusp_dim': 96, 'dihedral_dim': 96, 'dim': 96, 'eis_dim': 192, 'eis_new_dim': 192, 'hecke_orbit_code': 7971476082376, 'hecke_orbit_dims': [48, 48], 'label': '3784.1.em', 'level': 3784, '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, 11, 43], 'level_radical': 946, 'mf_dim': 288, 'mf_new_dim': 288, 'num_forms': 2, 'prim_orbit_index': 117, 'relative_dim': 2, 's4_dim': 0, 'sturm_bound': 528, 'trace_bound': 19, 'trace_display': [4, -4, 0, 0], 'traces': [96, 4, -4, 4, 0, 6, 0, 4, -6, 0, -2, -4, 0, 0, 0, 4, 2, 4, -24, 0, 0, 5, 0, -15, -2, 0, -4, 0, 0, 0, 0, -16, -31, -26, 0, 18, 0, 2, 0, 0, -4, 0, -2, 8, 0, 0, 0, -4, 12, 12, 16, 0, 0, -12, 0, 0, -1, 0, 6, 0, 0, 0, 0, 4, 0, 2, 2, 2, 0, 0, 0, -6, 2, 0, 30, 2, 0, 0, 0, 0, -21, 6, -15, 0, 0, 3, 0, 5, 2, 0, 0, 0, 0, 0, 0, -4, 6, 8, -11, 8, 0, 16, 0, 0, 0, 0, -4, -32, 0, 0, 0, 0, 6, -1, 0, 0, 0, 6, 0, 0, -2, 0, 4, 0, 0, 0, 0, -24, -2, 0, -4, -12, 0, 2, 0, -3, -12, 0, 16, 0, 0, 0, 0, 4, 0, 2, -4, 0, 0, 8, 0, -26, -18, 0, 0, 0, 0, 0, 0, 0, 0, -21, 2, 10, 0, -4, 0, 0, -2, 0, -2, -2, 0, 0, 0, -2, 18, -3, -3, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, -15, -20, 10, 0, -2, 0, 5, 0, -2, -1, 0, 0, 2, 0, 0, 0, 0, -1, 0, -12, 0, 0, 6, 0, -4, 0, 0, -30, 0, 0, 0, 0, 0, 8, 10, 39, 13, 0, 0, 0, 0, -3, 0, 0, 10, 0, 0, 0, 0, -4, -2, 22, 0, 0, 13, 0, 0, 2, 0, -12, 0, 0, 0, 0, 4, 24, 8, 0, 0, 0, -4, 0, -3, 0, 0, -29, -3, 0, 0, 0, -3, 0, 8, 1, 0, 0, 2, 0, 0, -3, 0, 2, 0, 0, 0, 0, 8, 0, 0, -24, -3, 0, -4, 0, 0, -26, 0, 0, 8, 0, 0, 0, -3, 0, 1, 2, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -24, 0, 4, 0, 0, -3, 0, -15, 0, 0, 2, -15, 0, 0, 0, 0, -3, 12, 13, 0, 0, -48, 0, -2, 0, 0, 2, 0, 0, 0, 0, -2, 2, -29, 0, 2, 0, -26, 0, 0, -26, 0, -3, 0, 0, 0, 0, 0, 38, 0, 0, 0, 0, 50, 0, 0, 0, 0, 6, 0, 0, 0, 0, -4, 0, -32, 4, -4, 0, 0, 0, -2, -1, 0, 0, 10, 0, 0, 0, -2, -15, -50, 0, 0, 0, 0, 0, -8, -4, 0, 2, 0, 0, 0, 0, 0, 4, 50, 8, 0, 0, -20, 0, 0, -3, 0, 0, -4, 0, 0, 0, 38, 6, 0, 0, 0, 0, -8, 0, 0, -8, 0, 10, 0, 0, 0, 0, 0, 2, 4, -18, -4, 0, -3, 0, 41, -15, 0, 17, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, -4, -13, 0, -4, 0, 0, 0, 0, 0, 0, -4, 0, 5, 0, 12, 0, 0, 2, 0, 2, 41, 0, 0, 0, 0, 0, -19, 2, 0, 0, 2, 0, 0, 0, 0, 10, 0, 0, 0, 0, 4, -25, -4, 0, 100, 0, 0, 0, 0, 39, 0, 2, -15, 0, 0, 0, 9, 8, 0, 15, 0, 0, 18, 0, -3, -19, 0, 1, 0, 0, 0, 0, 16, 0, 0, 6, -12, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -3, 2, -12, 0, 0, 2, 0, 0, -3, 0, -40, 0, 0, 0, 0, -17, 10, -5, -8, 0, 0, -6, 0, 2, 0, 0, -3, 6, 0, 0, 0, 0, 16, 9, 0, 0, 0, 0, 0, -12, -4, 0, 26, 0, 0, 0, 0, -3, 0, 0, 0, 1, 0, -3, 0, 0, 10, 0, 6, 0, 0, 0, 0, 0, -2, -4, 22, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, -4, -22, 6, 0, 0, 32, 0, 14, -12, 0, 0, -3, 0, 0, 0, -4, 1, 0, -4, 0, 0, -3, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 2, -24, 2, -2, 0, 41, 0, 0, 4, 0, 16, -9, 0, 0, 0, 3, 0, 0, 2, 0, 0, 2, 0, 0, 7, 0, -8, 0, 0, 0, 0, -2, 0, 2, 0, -1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -32, 0, 0, -12, 0, 0, -20, 0, -14, 0, 0, 0, 0, 0, -6, -8, -20, 0, 0, 0, 0, 0, 0, 0, -4, 6, 0, 0, 0, 0, 12, 0, 0, 0, 0, -4, 0, 0, 10, 0, 0, 0, 0, 0, 0, 6, -8, 0, -6, -20, 0, 13, 0, -15, 0, 0, -7, 0, 0, 0, 0, -2, 0, -29, -4, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -2, -13, -4, -8, 4, 0, 0, 0, 0, 8, 0, -12, 0, 0, 0, 0, 30, 1, -4, 0, 0, 0, -19, 0, 0, 13, 0, -26, 0, 0, 0, 0, 0, 6, -6, 0, 9, 0, -12, 0, 0, -2, 0, -1, -20, 0, 0, 0, 0, 12, -3, 0, 0, 0, 0, 0, 6, -4, 0, -4, 0, 0, 0, 0, 38, 0, 6, 10, 0, 0, 0, 0, 0, 15, 0, 0, 2, 0, 0, 0, 0, -4, 12, 10, 0, 0, -15, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, -3, 0, -6, 0, 2, 0, -4, 0, 0, -4, 2, 0, 0, 0, 4, 2, -4, 0, 0, 0, -2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 39, 2, 0, -8, 0, 0, 2, 0, 2, 0, 0, 0, 0, 10, 0, 6, -4, 0, 0, -15, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 38, -15, 0, 0, 0, -2, -54, 0, -4, 12, 0, 0, 0, 0, 2, 6, 6, 0, 0, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -8, 0, 2, 0, 0], 'weight': 1, '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: 40067178
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 971, 'source_dim': 48, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4511571103452872, 'source_is_minimal': True, 'source_label': '3784.1.em.b.971.1', 'source_level': 3784, 'target_conrey_index': 971, 'target_dim': 48, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4511571103452872, 'target_is_minimal': True, 'target_label': '3784.1.em.b.971.1', 'target_level': 3784, 'twist_class_label': '3784.1.em.a.1235.1', 'twist_class_level': 3784, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 1}
  • id: 40067179
    {'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 971, 'source_dim': 48, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4511571103452872, 'source_is_minimal': True, 'source_label': '3784.1.em.b.971.1', 'source_level': 3784, 'target_conrey_index': 971, 'target_dim': 48, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4511571103452872, 'target_is_minimal': True, 'target_label': '3784.1.em.b.971.1', 'target_level': 3784, 'twist_class_label': '3784.1.em.a.1235.1', 'twist_class_level': 3784, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 1}
  • id: 40067180
    {'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 971, 'source_dim': 48, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4511571103452872, 'source_is_minimal': True, 'source_label': '3784.1.em.b.971.1', 'source_level': 3784, 'target_conrey_index': 2347, 'target_dim': 48, 'target_embedding_index': 1, 'target_hecke_orbit_code': 7971476082376, 'target_is_minimal': True, 'target_label': '3784.1.em.a.2347.1', 'target_level': 3784, 'twist_class_label': '3784.1.em.a.1235.1', 'twist_class_level': 3784, 'twisting_char_label': '11.4', 'twisting_conrey_index': 4, 'weight': 1}
  • id: 40067181
    {'conductor': 43, 'degree': 12, 'order': 21, 'parity': 1, 'source_conrey_index': 971, 'source_dim': 48, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4511571103452872, 'source_is_minimal': True, 'source_label': '3784.1.em.b.971.1', 'source_level': 3784, 'target_conrey_index': 1235, 'target_dim': 48, 'target_embedding_index': 1, 'target_hecke_orbit_code': 7971476082376, 'target_is_minimal': True, 'target_label': '3784.1.em.a.1235.1', 'target_level': 3784, 'twist_class_label': '3784.1.em.a.1235.1', 'twist_class_level': 3784, 'twisting_char_label': '43.31', 'twisting_conrey_index': 31, 'weight': 1}
  • id: 40067182
    {'conductor': 88, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 971, 'source_dim': 48, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4511571103452872, 'source_is_minimal': True, 'source_label': '3784.1.em.b.971.1', 'source_level': 3784, 'target_conrey_index': 2347, 'target_dim': 48, 'target_embedding_index': 1, 'target_hecke_orbit_code': 7971476082376, 'target_is_minimal': True, 'target_label': '3784.1.em.a.2347.1', 'target_level': 3784, 'twist_class_label': '3784.1.em.a.1235.1', 'twist_class_level': 3784, 'twisting_char_label': '88.59', 'twisting_conrey_index': 59, 'weight': 1}
  • id: 40067183
    {'conductor': 344, 'degree': 12, 'order': 42, 'parity': -1, 'source_conrey_index': 971, 'source_dim': 48, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4511571103452872, 'source_is_minimal': True, 'source_label': '3784.1.em.b.971.1', 'source_level': 3784, 'target_conrey_index': 1235, 'target_dim': 48, 'target_embedding_index': 1, 'target_hecke_orbit_code': 7971476082376, 'target_is_minimal': True, 'target_label': '3784.1.em.a.1235.1', 'target_level': 3784, 'twist_class_label': '3784.1.em.a.1235.1', 'twist_class_level': 3784, 'twisting_char_label': '344.203', 'twisting_conrey_index': 203, 'weight': 1}
  • id: 40067184
    {'conductor': 473, 'degree': 48, 'order': 105, 'parity': 1, 'source_conrey_index': 971, 'source_dim': 48, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4511571103452872, 'source_is_minimal': True, 'source_label': '3784.1.em.b.971.1', 'source_level': 3784, 'target_conrey_index': 2611, 'target_dim': 48, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4511571103452872, 'target_is_minimal': True, 'target_label': '3784.1.em.b.2611.1', 'target_level': 3784, 'twist_class_label': '3784.1.em.a.1235.1', 'twist_class_level': 3784, 'twisting_char_label': '473.246', 'twisting_conrey_index': 246, 'weight': 1}
  • id: 40067185
    {'conductor': 3784, 'degree': 48, 'order': 210, 'parity': -1, 'source_conrey_index': 971, 'source_dim': 48, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4511571103452872, 'source_is_minimal': True, 'source_label': '3784.1.em.b.971.1', 'source_level': 3784, 'target_conrey_index': 2611, 'target_dim': 48, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4511571103452872, 'target_is_minimal': True, 'target_label': '3784.1.em.b.2611.1', 'target_level': 3784, 'twist_class_label': '3784.1.em.a.1235.1', 'twist_class_level': 3784, 'twisting_char_label': '3784.2611', 'twisting_conrey_index': 2611, 'weight': 1}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 3359900
    {'charpoly_factorization': [[[1, -1, 0, 0, 0, 1, -1, 1, -1, 0, 1, -1, 1, -1, 1, 0, -1, 1, -1, 1, 0, 0, 0, -1, 1], 2]], 'hecke_orbit_code': 4511571103452872, 'p': 2}
  • id: 3359901
    {'charpoly_factorization': [[[1, 24, 284, 3638, 39224, 233693, 977945, 3633019, 10496598, 19120654, 25555209, 31615899, 31975795, 19650774, -144829, -20303748, -34308092, -34748216, -24048665, -12960478, -6526522, -2182045, 3648287, 6205646, 5540078, 4250465, 3064144, 2143422, 1415924, 874293, 477152, 287032, 168786, 83179, 44748, 25863, 14943, 6282, 3327, 1660, 942, 317, 149, 70, 43, 10, 4, 2, 1], 1]], 'hecke_orbit_code': 4511571103452872, 'p': 3}
  • id: 3359902
    {'charpoly_factorization': [[[0, 1], 48]], 'hecke_orbit_code': 4511571103452872, 'p': 5}
  • id: 3359903
    {'charpoly_factorization': [[[0, 1], 48]], 'hecke_orbit_code': 4511571103452872, 'p': 7}
  • id: 3359904
    {'charpoly_factorization': [[[1, 1, 1, 0, 0, -1, -1, -2, -1, -1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, -1, -1, -2, -1, -1, 0, 0, 1, 1, 1], 1]], 'hecke_orbit_code': 4511571103452872, 'p': 11}
  • id: 3359905
    {'charpoly_factorization': [[[0, 1], 48]], 'hecke_orbit_code': 4511571103452872, 'p': 13}
  • id: 3359906
    {'charpoly_factorization': [[[1, 65, 985, -2729, -10790, 22570, 66598, -93517, -50011, 187794, 309451, -66028, 1049143, -928274, 4140785, -2902035, 9504628, -5641569, 15254526, -7280276, 17259106, -6942033, 13244586, -5531068, 6582615, -3509668, 2078724, -1515431, 471231, -344244, 99415, -128, 4845, 22355, -11868, 7862, -5779, 1978, -1276, 419, -56, 63, 43, -13, 7, -12, 1, -1, 1], 1]], 'hecke_orbit_code': 4511571103452872, 'p': 17}
  • id: 3359907
    {'charpoly_factorization': [[[1, -24, 1001, 4583, -419, -25505, -36210, 115091, 249737, -176299, -128096, -1011405, 1398825, -146989, 3110357, -697436, 528973, -762328, 2285107, 1633139, 1942148, -1391318, -1025877, -1456170, -506636, -244413, 107602, 127356, 247873, 104316, 15850, 4640, -2809, -8892, -6855, -281, -435, -400, 251, 286, 237, 153, 106, 50, 25, 14, 4, 2, 1], 1]], 'hecke_orbit_code': 4511571103452872, 'p': 19}
  • id: 3359908
    {'charpoly_factorization': [[[0, 1], 48]], 'hecke_orbit_code': 4511571103452872, 'p': 23}
  • id: 3359909
    {'charpoly_factorization': [[[0, 1], 48]], 'hecke_orbit_code': 4511571103452872, 'p': 29}
  • id: 3359910
    {'charpoly_factorization': [[[0, 1], 48]], 'hecke_orbit_code': 4511571103452872, 'p': 31}
  • id: 3359911
    {'charpoly_factorization': [[[0, 1], 48]], 'hecke_orbit_code': 4511571103452872, 'p': 37}
  • id: 3359912
    {'charpoly_factorization': [[[1, -66, 1134, -366, 1206, 15474, 23338, -97058, -108388, 610028, -624485, -855618, 2835029, -1508803, -205581, 2557559, 1728932, -2368171, 3436804, 1249738, -2529149, 3642149, -300439, -782957, 2640128, -175094, 225358, 1319308, 63086, 259351, 457074, 38522, 96350, 115220, 10433, 23407, 22299, 2120, 4092, 3178, 270, 514, 341, 25, 41, 23, 1, 2, 1], 1]], 'hecke_orbit_code': 4511571103452872, 'p': 41}
  • id: 3359913
    {'charpoly_factorization': [[[1, 1, 1, 0, 0, -1, -1, -2, -1, -1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, -1, -1, -2, -1, -1, 0, 0, 1, 1, 1], 1]], 'hecke_orbit_code': 4511571103452872, 'p': 43}
  • id: 3359914
    {'charpoly_factorization': [[[0, 1], 48]], 'hecke_orbit_code': 4511571103452872, 'p': 47}
  • id: 3359915
    {'charpoly_factorization': [[[0, 1], 48]], 'hecke_orbit_code': 4511571103452872, 'p': 53}
  • id: 3359916
    {'charpoly_factorization': [[[1, 35, 1053, -1929, 3305, -4928, -43728, 156736, -122689, -633838, 2031922, -2204357, 1517062, -4255557, 10853825, -15750374, 16818241, -16254232, 13735662, -8594416, 4020893, -1359034, 328222, -544168, 537349, 293047, -902608, 761827, -187455, -168579, 190539, -89820, -964, 33032, -15501, -4493, 7205, -2074, -991, 842, -146, -87, 69, 10, -27, 10, 1, -3, 1], 1]], 'hecke_orbit_code': 4511571103452872, 'p': 59}
  • id: 3359917
    {'charpoly_factorization': [[[0, 1], 48]], 'hecke_orbit_code': 4511571103452872, 'p': 61}
  • id: 3359918
    {'charpoly_factorization': [[[1, 4, -4, -110, -435, 436, 12039, -9688, -276916, -1088444, 1091980, 30147905, 119230196, -119500971, -16506914, 83319729, -53629094, -6959556, 42511835, -8874665, -19822361, 14637840, 689904, -8805690, 6202394, 1256250, -1928121, 385320, 115384, -228790, 95795, 57054, -36239, 3579, 1276, -4176, 2426, 40, -110, 326, -166, -83, 54, -4, 0, 5, -4, -1, 1], 1]], 'hecke_orbit_code': 4511571103452872, 'p': 67}
  • id: 3359919
    {'charpoly_factorization': [[[0, 1], 48]], 'hecke_orbit_code': 4511571103452872, 'p': 71}
  • id: 3359920
    {'charpoly_factorization': [[[1, 9, 61, 365, 2020, 10551, 52514, 238017, 1030019, 4196666, 15702290, 50912620, 117146306, -68697941, -40062304, 22522084, 15542681, -20511046, -16803780, -13692290, 16468344, 2093035, -4941981, 169060, 3511449, 593900, 1041639, -1078715, -84436, 105870, -21020, -107466, -839, -24776, 26436, 1429, -774, 200, 1230, -134, 259, -273, -6, 1, 0, -5, 1, -1, 1], 1]], 'hecke_orbit_code': 4511571103452872, 'p': 73}
  • id: 3359921
    {'charpoly_factorization': [[[0, 1], 48]], 'hecke_orbit_code': 4511571103452872, 'p': 79}
  • id: 3359922
    {'charpoly_factorization': [[[1, 12, -66, -1088, 11481, 165648, 700646, 1338090, 3609722, 26444648, 133867603, 455715103, 1202421239, 2688092829, 5328967683, 9571062881, 15760667078, 23999500689, 34013375022, 45075313290, 56038598139, 65507483635, 72117769576, 74850835022, 73284077536, 67695860618, 58990045505, 48466532077, 37514792957, 27326638625, 18706614853, 12014467142, 7225228024, 4058999521, 2124271164, 1032319810, 464048639, 192074953, 72802857, 25101167, 7807730, 2168371, 530526, 112331, 20079, 2921, 326, 25, 1], 1]], 'hecke_orbit_code': 4511571103452872, 'p': 83}
  • id: 3359923
    {'charpoly_factorization': [[[1, -45, 605, 8696, 49125, 186265, 532468, 1121743, 1673634, 1410759, -111719, -2183723, -2395112, -236469, 2365800, 2831405, -49967, -2371259, -2490269, -738691, 3744826, 2272592, -3339184, -1242078, 2008260, 22787, -753591, 333429, 65971, -162899, 85715, -16173, -6720, 12700, 387, -6598, 501, 1153, 219, 39, -236, -27, 33, 17, 7, -2, -4, -1, 1], 1]], 'hecke_orbit_code': 4511571103452872, 'p': 89}
  • id: 3359924
    {'charpoly_factorization': [[[1, 49, 1249, 3244, 2836, 7049, 45543, -30703, -112833, -354132, 15425, 993992, 305649, -294313, 2044059, -5456216, 1978647, -901461, 244604, 3119853, -755599, -78496, -722569, -363792, 287043, 18276, 294098, -169502, -23914, -47759, 114344, -18658, -7425, -17270, 12793, 932, -1636, -625, 157, 303, -160, 109, -64, 10, 1, 3, 1, -3, 1], 1]], 'hecke_orbit_code': 4511571103452872, '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': 117, 'hecke_orbit': 2, 'label': '3784.1.em.b', 'level': 3784, 'portrait': 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', 'weight': 1}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 25947553
    {'hecke_orbit_code': 4511571103452872, 'n': 1, 'trace_an': 48}
  • id: 25947554
    {'hecke_orbit_code': 4511571103452872, 'n': 2, 'trace_an': 2}
  • id: 25947555
    {'hecke_orbit_code': 4511571103452872, 'n': 3, 'trace_an': -2}
  • id: 25947556
    {'hecke_orbit_code': 4511571103452872, 'n': 4, 'trace_an': 2}
  • id: 25947557
    {'hecke_orbit_code': 4511571103452872, 'n': 5, 'trace_an': 0}
  • id: 25947558
    {'hecke_orbit_code': 4511571103452872, 'n': 6, 'trace_an': 3}
  • id: 25947559
    {'hecke_orbit_code': 4511571103452872, 'n': 7, 'trace_an': 0}
  • id: 25947560
    {'hecke_orbit_code': 4511571103452872, 'n': 8, 'trace_an': 2}
  • id: 25947561
    {'hecke_orbit_code': 4511571103452872, 'n': 9, 'trace_an': -3}
  • id: 25947562
    {'hecke_orbit_code': 4511571103452872, 'n': 10, 'trace_an': 0}
  • id: 25947563
    {'hecke_orbit_code': 4511571103452872, 'n': 11, 'trace_an': -1}
  • id: 25947564
    {'hecke_orbit_code': 4511571103452872, 'n': 12, 'trace_an': -2}
  • id: 25947565
    {'hecke_orbit_code': 4511571103452872, 'n': 13, 'trace_an': 0}
  • id: 25947566
    {'hecke_orbit_code': 4511571103452872, 'n': 14, 'trace_an': 0}
  • id: 25947567
    {'hecke_orbit_code': 4511571103452872, 'n': 15, 'trace_an': 0}
  • id: 25947568
    {'hecke_orbit_code': 4511571103452872, 'n': 16, 'trace_an': 2}
  • id: 25947569
    {'hecke_orbit_code': 4511571103452872, 'n': 17, 'trace_an': 1}
  • id: 25947570
    {'hecke_orbit_code': 4511571103452872, 'n': 18, 'trace_an': 2}
  • id: 25947571
    {'hecke_orbit_code': 4511571103452872, 'n': 19, 'trace_an': -2}
  • id: 25947572
    {'hecke_orbit_code': 4511571103452872, 'n': 20, 'trace_an': 0}
  • id: 25947573
    {'hecke_orbit_code': 4511571103452872, 'n': 21, 'trace_an': 0}
  • id: 25947574
    {'hecke_orbit_code': 4511571103452872, 'n': 22, 'trace_an': 6}
  • id: 25947575
    {'hecke_orbit_code': 4511571103452872, 'n': 23, 'trace_an': 0}
  • id: 25947576
    {'hecke_orbit_code': 4511571103452872, 'n': 24, 'trace_an': 10}
  • id: 25947577
    {'hecke_orbit_code': 4511571103452872, 'n': 25, 'trace_an': -1}
  • id: 25947578
    {'hecke_orbit_code': 4511571103452872, 'n': 26, 'trace_an': 0}
  • id: 25947579
    {'hecke_orbit_code': 4511571103452872, 'n': 27, 'trace_an': -2}
  • id: 25947580
    {'hecke_orbit_code': 4511571103452872, 'n': 28, 'trace_an': 0}
  • id: 25947581
    {'hecke_orbit_code': 4511571103452872, 'n': 29, 'trace_an': 0}
  • id: 25947582
    {'hecke_orbit_code': 4511571103452872, 'n': 30, 'trace_an': 0}
  • id: 25947583
    {'hecke_orbit_code': 4511571103452872, 'n': 31, 'trace_an': 0}
  • id: 25947584
    {'hecke_orbit_code': 4511571103452872, 'n': 32, 'trace_an': -8}
  • id: 25947585
    {'hecke_orbit_code': 4511571103452872, 'n': 33, 'trace_an': -25}
  • id: 25947586
    {'hecke_orbit_code': 4511571103452872, 'n': 34, 'trace_an': -13}
  • id: 25947587
    {'hecke_orbit_code': 4511571103452872, 'n': 35, 'trace_an': 0}
  • id: 25947588
    {'hecke_orbit_code': 4511571103452872, 'n': 36, 'trace_an': 9}
  • id: 25947589
    {'hecke_orbit_code': 4511571103452872, 'n': 37, 'trace_an': 0}
  • id: 25947590
    {'hecke_orbit_code': 4511571103452872, 'n': 38, 'trace_an': 1}
  • id: 25947591
    {'hecke_orbit_code': 4511571103452872, 'n': 39, 'trace_an': 0}
  • id: 25947592
    {'hecke_orbit_code': 4511571103452872, 'n': 40, 'trace_an': 0}
  • id: 25947593
    {'hecke_orbit_code': 4511571103452872, 'n': 41, 'trace_an': -2}
  • id: 25947594
    {'hecke_orbit_code': 4511571103452872, 'n': 42, 'trace_an': 0}
  • id: 25947595
    {'hecke_orbit_code': 4511571103452872, 'n': 43, 'trace_an': -1}
  • id: 25947596
    {'hecke_orbit_code': 4511571103452872, 'n': 44, 'trace_an': 4}
  • id: 25947597
    {'hecke_orbit_code': 4511571103452872, 'n': 45, 'trace_an': 0}
  • id: 25947598
    {'hecke_orbit_code': 4511571103452872, 'n': 46, 'trace_an': 0}
  • id: 25947599
    {'hecke_orbit_code': 4511571103452872, 'n': 47, 'trace_an': 0}
  • id: 25947600
    {'hecke_orbit_code': 4511571103452872, 'n': 48, 'trace_an': -2}
  • id: 25947601
    {'hecke_orbit_code': 4511571103452872, 'n': 49, 'trace_an': 6}
  • id: 25947602
    {'hecke_orbit_code': 4511571103452872, 'n': 50, 'trace_an': 6}
  • id: 25947603
    {'hecke_orbit_code': 4511571103452872, 'n': 51, 'trace_an': 8}
  • id: 25947604
    {'hecke_orbit_code': 4511571103452872, 'n': 52, 'trace_an': 0}
  • id: 25947605
    {'hecke_orbit_code': 4511571103452872, 'n': 53, 'trace_an': 0}
  • id: 25947606
    {'hecke_orbit_code': 4511571103452872, 'n': 54, 'trace_an': -6}
  • id: 25947607
    {'hecke_orbit_code': 4511571103452872, 'n': 55, 'trace_an': 0}
  • id: 25947608
    {'hecke_orbit_code': 4511571103452872, 'n': 56, 'trace_an': 0}
  • id: 25947609
    {'hecke_orbit_code': 4511571103452872, 'n': 57, 'trace_an': -8}
  • id: 25947610
    {'hecke_orbit_code': 4511571103452872, 'n': 58, 'trace_an': 0}
  • id: 25947611
    {'hecke_orbit_code': 4511571103452872, 'n': 59, 'trace_an': 3}
  • id: 25947612
    {'hecke_orbit_code': 4511571103452872, 'n': 60, 'trace_an': 0}
  • id: 25947613
    {'hecke_orbit_code': 4511571103452872, 'n': 61, 'trace_an': 0}
  • id: 25947614
    {'hecke_orbit_code': 4511571103452872, 'n': 62, 'trace_an': 0}
  • id: 25947615
    {'hecke_orbit_code': 4511571103452872, 'n': 63, 'trace_an': 0}
  • id: 25947616
    {'hecke_orbit_code': 4511571103452872, 'n': 64, 'trace_an': 2}
  • id: 25947617
    {'hecke_orbit_code': 4511571103452872, 'n': 65, 'trace_an': 0}
  • id: 25947618
    {'hecke_orbit_code': 4511571103452872, 'n': 66, 'trace_an': -2}
  • id: 25947619
    {'hecke_orbit_code': 4511571103452872, 'n': 67, 'trace_an': 1}
  • id: 25947620
    {'hecke_orbit_code': 4511571103452872, 'n': 68, 'trace_an': 1}
  • id: 25947621
    {'hecke_orbit_code': 4511571103452872, 'n': 69, 'trace_an': 0}
  • id: 25947622
    {'hecke_orbit_code': 4511571103452872, 'n': 70, 'trace_an': 0}
  • id: 25947623
    {'hecke_orbit_code': 4511571103452872, 'n': 71, 'trace_an': 0}
  • id: 25947624
    {'hecke_orbit_code': 4511571103452872, 'n': 72, 'trace_an': -3}
  • id: 25947625
    {'hecke_orbit_code': 4511571103452872, 'n': 73, 'trace_an': 1}
  • id: 25947626
    {'hecke_orbit_code': 4511571103452872, 'n': 74, 'trace_an': 0}
  • id: 25947627
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  • id: 25947628
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  • id: 25947629
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  • id: 25947630
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  • id: 25947631
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  • id: 25947632
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  • id: 25947633
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  • id: 25947634
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  • id: 25947635
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  • id: 25947636
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  • id: 25947637
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  • id: 25947638
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  • id: 25947639
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  • id: 25947640
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  • id: 25947641
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  • id: 25947642
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  • id: 25947643
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  • id: 25947644
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  • id: 25947646
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  • id: 25947647
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  • id: 25947648
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  • id: 25947649
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  • id: 25947650
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  • id: 25947651
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  • id: 25947652
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  • id: 25947653
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  • id: 25947654
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  • id: 25947655
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  • id: 25947656
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  • id: 25947657
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  • id: 25947658
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  • id: 25947659
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  • id: 25947660
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  • id: 25947661
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  • id: 25947662
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  • id: 25947663
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  • id: 25947664
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  • id: 25947665
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  • id: 25947667
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  • id: 25947668
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  • id: 25947669
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  • id: 25947670
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  • id: 25947671
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  • id: 25947672
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  • id: 25947673
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  • id: 25947674
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  • id: 25947675
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  • id: 25947676
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  • id: 25947677
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  • id: 25947678
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  • id: 25947679
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  • id: 25947680
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  • id: 25947681
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  • id: 25947682
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  • id: 25947683
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  • id: 25947684
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  • id: 25947685
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  • id: 25947686
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  • id: 25947687
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  • id: 25947688
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  • id: 25947689
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  • id: 25947690
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  • id: 25947691
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  • id: 25947692
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  • id: 25947693
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  • id: 25947694
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  • id: 25947695
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  • id: 25947696
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  • id: 25947697
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  • id: 25947698
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  • id: 25947699
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  • id: 25947700
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  • id: 25947701
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  • id: 25947702
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  • id: 25947703
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  • id: 25947704
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  • id: 25947705
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  • id: 25947706
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  • id: 25947707
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  • id: 25947708
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  • id: 25947709
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  • id: 25947710
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  • id: 25947711
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  • id: 25947712
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  • id: 25947713
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  • id: 25947714
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  • id: 25947715
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  • id: 25947716
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  • id: 25947717
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  • id: 25947718
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  • id: 25947719
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  • id: 25947720
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  • id: 25947721
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  • id: 25947722
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  • id: 25947723
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  • id: 25947724
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  • id: 25947725
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  • id: 25947726
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  • id: 25947727
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  • id: 25947728
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  • id: 25947729
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  • id: 25947730
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  • id: 25947731
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  • id: 25947732
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  • id: 25947733
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  • id: 25947734
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  • id: 25947735
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  • id: 25947736
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  • id: 25947737
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  • id: 25947738
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  • id: 25947739
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  • id: 25947740
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  • id: 25947741
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  • id: 25947742
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  • id: 25947743
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  • id: 25947744
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  • id: 25947745
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  • id: 25947746
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  • id: 25947747
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  • id: 25947748
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  • id: 25947749
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  • id: 25947750
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  • id: 25947751
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  • id: 25947752
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  • id: 25947753
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  • id: 25947754
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  • id: 25947755
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  • id: 25947756
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  • id: 25947757
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  • id: 25947758
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  • id: 25947759
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  • id: 25947760
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  • id: 25947761
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  • id: 25947762
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  • id: 25947763
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  • id: 25947764
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  • id: 25947765
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  • id: 25947766
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  • id: 25947767
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  • id: 25947768
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  • id: 25947769
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  • id: 25947770
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  • id: 25947771
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  • id: 25947772
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  • id: 25947773
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  • id: 25947774
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  • id: 25947775
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  • id: 25947776
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  • id: 25947777
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  • id: 25947778
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  • id: 25947779
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  • id: 25947780
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  • id: 25947781
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  • id: 25947782
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  • id: 25947783
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  • id: 25947784
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  • id: 25947785
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  • id: 25947786
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  • id: 25947787
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  • id: 25947788
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  • id: 25947789
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  • id: 25947790
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  • id: 25947791
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  • id: 25947792
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  • id: 25947793
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  • id: 25947794
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  • id: 25947795
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  • id: 25947796
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  • id: 25947797
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  • id: 25947798
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  • id: 25947799
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  • id: 25947800
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  • id: 25947801
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  • id: 25947802
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  • id: 25947803
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  • id: 25947804
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  • id: 25947805
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  • id: 25947806
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  • id: 25947807
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  • id: 25947808
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  • id: 25947809
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  • id: 25947810
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