Embedded newform data - 825.6.a.j.1.2

Formats: - HTML - YAML - JSON - 2024-04-24T04:08:10.962270

• mf_newforms •

  Column	Type
  Nk2	integer
  analytic_conductor	double precision
  analytic_rank	smallint
  analytic_rank_proved	boolean
  artin_degree	integer
  artin_field	numeric[]
  artin_field_label	text
  artin_image	text
  atkin_lehner_eigenvals	integer[]
  atkin_lehner_string	text
  char_conductor	integer
  char_degree	integer
  char_is_minimal	boolean
  char_is_real	boolean
  char_orbit_index	smallint
  char_orbit_label	text
  char_order	integer
  char_parity	smallint
  char_values	jsonb
  cm_discs	integer[]
  conrey_index	integer
  conrey_indexes	integer[]
  dim	integer
  embedded_related_objects	text[]
  field_disc	numeric
  field_disc_factorization	numeric[]
  field_poly	numeric[]
  field_poly_is_cyclotomic	boolean
  field_poly_is_real_cyclotomic	boolean
  field_poly_root_of_unity	integer
  fricke_eigenval	smallint
  has_non_self_twist	smallint
  hecke_cutters	jsonb
  hecke_orbit	integer
  hecke_orbit_code	bigint
  hecke_ring_generator_nbound	integer
  hecke_ring_index	numeric
  hecke_ring_index_factorization	numeric[]
  hecke_ring_index_proved	boolean
  inner_twist_count	integer
  inner_twists	integer[]
  is_cm	boolean
  is_polredabs	boolean
  is_rm	boolean
  is_self_dual	boolean
  is_self_twist	boolean
  is_twist_minimal	boolean
  label	text
  level	integer
  level_is_prime	boolean
  level_is_prime_power	boolean
  level_is_square	boolean
  level_is_squarefree	boolean
  level_primes	integer[]
  level_radical	integer
  minimal_twist	text
  nf_label	text
  prim_orbit_index	smallint
  projective_field	numeric[]
  projective_field_label	text
  projective_image	text
  projective_image_type	text
  qexp_display	text
  related_objects	text[]
  relative_dim	integer
  rm_discs	integer[]
  sato_tate_group	text
  self_twist_discs	integer[]
  self_twist_type	smallint
  space_label	text
  trace_display	numeric[]
  trace_hash	bigint
  trace_moments	numeric[]
  trace_zratio	numeric
  traces	numeric[]
  weight	smallint
  weight_parity	smallint

  
  {'Nk2': 29700, 'analytic_conductor': 132.31665134570903, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, 1], [11, 1]], 'atkin_lehner_string': '+++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [825, 1, [551, 727, 376], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 34253, 'field_disc_factorization': [[34253, 1]], 'field_poly': [48, -52, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [140, -36, -7, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532396746998585, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '825.6.a.j', 'level': 825, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 11], 'level_radical': 165, 'minimal_twist': '165.6.a.a', 'nf_label': '3.3.34253.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(2+\\beta _{1})q^{2}-9q^{3}+(7+4\\beta _{1}+\\beta _{2})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '5.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '825.6.a', 'trace_display': [7, -27, 0, 172], 'trace_hash': 1887677401693803912, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.959', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.155', 'prec': 17}, {'__RealLiteral__': 0, 'data': '24.641', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1.056', 'prec': 17}, {'__RealLiteral__': 0, 'data': '309.299', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 'traces': [3, 7, -27, 25, 0, -63, 172, 231, 243, 0, -363, -225, 654, -728, 0, -415, 2366, 567, -2872, 0, -1548, -847, -2272, -2079, 0, 3422, -2187, -4592, -7738, 0, 568, -1001, 3267, 2506, 0, 2025, 9126, -13076, -5886, 0, -8758, 6552, 14672, -3025, 0, -28768, 19392, 3735, -26629, 0, -21294, 61506, 4598, -5103, 0, 2688, 25848, -8550, -9348, 0, -60078, 14096, 13932, -7087, 0, 7623, 38468, -59778, 20448, 0, -74032, 18711, 44442, 82542, 0, -98708, -20812, -30798, -108116, 0, 19683, 92230, 81892, 41328, 0, 126412, 69642, -27951, 167342, 0, -31832, -72960, -5112, 12728, 0, 9009, -159702, -163121, -29403, 0, -28770, -22554, -197848, 389662, 0, 124310, -60164, -18225, -108646, 0, -82134, -84000, -288518, 117684, 0, 105934, 52974, -317268, 236248, 0, 43923, -493590, 78822, 119456, 0, -58968, -112476, -611065, -132048, 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0], 'weight': 6, '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

  
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-0.13780782064499536, -0.17870441434628345, -0.28987169749675257, -0.39098038848193917, -0.2758079284616743, -0.3200462571894852, -0.1484457905863118, -0.2565102573431458, -0.21452983744633833, -0.2715655445399912, -0.3128596419377805, -0.3416137694473728, -0.41527512729262417, -0.3784955891898224, -0.24504236013649733, -0.1884160546581887, -0.3047885060862674, -0.23240109939237522, -0.05188144998542376, -0.2440416737944106, -0.09628539563359823, -0.13845112695209277, -0.2092676580500734, -0.3720868251668031, -0.46305653743596764], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': 0.9217990694556139, 'hecke_orbit': 10, 'hecke_orbit_code': 40532396746998585, 'label': '825.6.a.j.1.2', 'level': 825, 'weight': 6}
• mf_newspaces •

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

  
  {'AL_dims': [[[[3, -1], [5, -1], [11, -1]], 23, 2], [[[3, 1], [5, -1], [11, -1]], 20, 2], [[[3, 1], [5, -1], [11, 1]], 22, 2], [[[3, -1], [5, 1], [11, -1]], 16, 5], [[[3, 1], [5, 1], [11, 1]], 18, 4], [[[3, -1], [5, -1], [11, 1]], 21, 2], [[[3, -1], [5, 1], [11, 1]], 19, 4], [[[3, 1], [5, 1], [11, -1]], 21, 4]], 'ALdims': [18, 21, 22, 20, 19, 16, 21, 23], 'Nk2': 29700, 'analytic_conductor': 132.31665134570903, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [825, 1, [551, 727, 376], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 588, 'dim': 160, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 100664121, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 5, 5, 7, 7, 7, 8, 8, 9, 9, 10, 10, 13, 13, 13, 13], 'label': '825.6.a', 'level': 825, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 11], 'level_radical': 165, 'mf_dim': 612, 'mf_new_dim': 160, 'num_forms': 25, 'plus_dim': 75, 'prim_orbit_index': 1, 'relative_dim': 160, 'sturm_bound': 720, 'trace_bound': 4, 'trace_display': [-8, -18, 0, -36], 'traces': [160, -8, -18, 2644, 0, -180, -36, 108, 12960, 0, 0, -864, -544, -1508, 0, 45132, 2700, -648, -6856, 0, 2664, -968, 4896, -540, 0, -22324, -1458, 11240, 26148, 0, 18556, 16428, -2178, 46080, 0, 214164, 7872, 59320, -4896, 0, 32636, 13068, -50236, 4840, 0, 67416, -62360, -77040, 371972, 0, 23328, -33704, 94088, -14580, 0, -69732, 32220, -40704, -72608, 0, 56964, -156976, -2916, 865796, 0, 17424, -60648, 200344, 21096, 0, -60456, 8748, 162488, 179720, 0, 67192, 29524, -61740, -56420, 0, 1049760, 20568, 98992, 84240, 0, 202096, 95904, -161172, -454528, 0, 102588, -116724, -236376, -879944, 0, -491940, 380896, 233152, 0, 0, -834772, 96912, -206304, -554932, 0, -772448, -363040, -69984, -599148, 0, 665892, 692032, -280600, 722232, 0, -78160, 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• 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: 46896315
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532396746998585, 'source_is_minimal': False, 'source_label': '825.6.a.j.1.2', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532396746998585, 'target_is_minimal': False, 'target_label': '825.6.a.j.1.2', 'target_level': 825, 'twist_class_label': '165.6.a.a.1.2', 'twist_class_level': 165, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 6}
  • id: 46896316
    {'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532396746998585, 'source_is_minimal': False, 'source_label': '825.6.a.j.1.2', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 100663461, 'target_is_minimal': True, 'target_label': '165.6.a.a.1.2', 'target_level': 165, 'twist_class_label': '165.6.a.a.1.2', 'twist_class_level': 165, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 6}
  • id: 46896317
    {'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532396746998585, 'source_is_minimal': False, 'source_label': '825.6.a.j.1.2', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398610145775, 'target_is_minimal': False, 'target_label': '495.6.a.e.1.2', 'target_level': 495, 'twist_class_label': '165.6.a.a.1.2', 'twist_class_level': 165, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 6}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 1378800
    {'charpoly_factorization': [[[140, -36, -7, 1], 1]], 'hecke_orbit_code': 40532396746998585, 'p': 2}
  • id: 1378801
    {'charpoly_factorization': [[[9, 1], 3]], 'hecke_orbit_code': 40532396746998585, 'p': 3}
  • id: 1378802
    {'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 40532396746998585, 'p': 5}
  • id: 1378803
    {'charpoly_factorization': [[[382464, 2896, -172, 1], 1]], 'hecke_orbit_code': 40532396746998585, 'p': 7}
  • id: 1378804
    {'charpoly_factorization': [[[121, 1], 3]], 'hecke_orbit_code': 40532396746998585, 'p': 11}
  • id: 1378805
    {'charpoly_factorization': [[[317918392, -558788, -654, 1], 1]], 'hecke_orbit_code': 40532396746998585, 'p': 13}
  • id: 1378806
    {'charpoly_factorization': [[[137826264, 495212, -2366, 1], 1]], 'hecke_orbit_code': 40532396746998585, 'p': 17}
  • id: 1378807
    {'charpoly_factorization': [[[11543616, 1821408, 2872, 1], 1]], 'hecke_orbit_code': 40532396746998585, 'p': 19}
  • id: 1378808
    {'charpoly_factorization': [[[-3706904576, -1259072, 2272, 1], 1]], 'hecke_orbit_code': 40532396746998585, 'p': 23}
  • id: 1378809
    {'charpoly_factorization': [[[5220625848, 14353100, 7738, 1], 1]], 'hecke_orbit_code': 40532396746998585, 'p': 29}
  • id: 1378810
    {'charpoly_factorization': [[[-289787904, -1931712, -568, 1], 1]], 'hecke_orbit_code': 40532396746998585, 'p': 31}
  • id: 1378811
    {'charpoly_factorization': [[[129972509048, -54723956, -9126, 1], 1]], 'hecke_orbit_code': 40532396746998585, 'p': 37}
  • id: 1378812
    {'charpoly_factorization': [[[-1122652557432, -230315700, 8758, 1], 1]], 'hecke_orbit_code': 40532396746998585, 'p': 41}
  • id: 1378813
    {'charpoly_factorization': [[[518908872384, -70310304, -14672, 1], 1]], 'hecke_orbit_code': 40532396746998585, 'p': 43}
  • id: 1378814
    {'charpoly_factorization': [[[1508908531200, -35113856, -19392, 1], 1]], 'hecke_orbit_code': 40532396746998585, 'p': 47}
  • id: 1378815
    {'charpoly_factorization': [[[-728896505288, -354257972, -4598, 1], 1]], 'hecke_orbit_code': 40532396746998585, 'p': 53}
  • id: 1378816
    {'charpoly_factorization': [[[-6267836310080, -498483344, 9348, 1], 1]], 'hecke_orbit_code': 40532396746998585, 'p': 59}
  • id: 1378817
    {'charpoly_factorization': [[[-13500896397400, 490851628, 60078, 1], 1]], 'hecke_orbit_code': 40532396746998585, 'p': 61}
  • id: 1378818
    {'charpoly_factorization': [[[8479952260160, -183974416, -38468, 1], 1]], 'hecke_orbit_code': 40532396746998585, 'p': 67}
  • id: 1378819
    {'charpoly_factorization': [[[-17011990639616, 685830592, 74032, 1], 1]], 'hecke_orbit_code': 40532396746998585, 'p': 71}
  • id: 1378820
    {'charpoly_factorization': [[[9750515676328, 111876700, -44442, 1], 1]], 'hecke_orbit_code': 40532396746998585, 'p': 73}
  • id: 1378821
    {'charpoly_factorization': [[[9069370346752, 1927505936, 108116, 1], 1]], 'hecke_orbit_code': 40532396746998585, 'p': 79}
  • id: 1378822
    {'charpoly_factorization': [[[739830059345664, -9807165024, -81892, 1], 1]], 'hecke_orbit_code': 40532396746998585, 'p': 83}
  • id: 1378823
    {'charpoly_factorization': [[[-158914472576552, 9085751148, -167342, 1], 1]], 'hecke_orbit_code': 40532396746998585, 'p': 89}
  • id: 1378824
    {'charpoly_factorization': [[[-352998320493112, 2383543948, 159702, 1], 1]], 'hecke_orbit_code': 40532396746998585, 'p': 97}
• mf_newform_portraits •

  Column	Type
  char_orbit_index	smallint
  hecke_orbit	integer
  label	text
  level	integer
  portrait	text
  weight	smallint

  
  {'char_orbit_index': 1, 'hecke_orbit': 10, 'label': '825.6.a.j', 'level': 825, 'portrait': 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', 'weight': 6}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 208047000
    {'hecke_orbit_code': 40532396746998585, 'n': 1, 'trace_an': 3}
  • id: 208047001
    {'hecke_orbit_code': 40532396746998585, 'n': 2, 'trace_an': 7}
  • id: 208047002
    {'hecke_orbit_code': 40532396746998585, 'n': 3, 'trace_an': -27}
  • id: 208047003
    {'hecke_orbit_code': 40532396746998585, 'n': 4, 'trace_an': 25}
  • id: 208047004
    {'hecke_orbit_code': 40532396746998585, 'n': 5, 'trace_an': 0}
  • id: 208047005
    {'hecke_orbit_code': 40532396746998585, 'n': 6, 'trace_an': -63}
  • id: 208047006
    {'hecke_orbit_code': 40532396746998585, 'n': 7, 'trace_an': 172}
  • id: 208047007
    {'hecke_orbit_code': 40532396746998585, 'n': 8, 'trace_an': 231}
  • id: 208047008
    {'hecke_orbit_code': 40532396746998585, 'n': 9, 'trace_an': 243}
  • id: 208047009
    {'hecke_orbit_code': 40532396746998585, 'n': 10, 'trace_an': 0}
  • id: 208047010
    {'hecke_orbit_code': 40532396746998585, 'n': 11, 'trace_an': -363}
  • id: 208047011
    {'hecke_orbit_code': 40532396746998585, 'n': 12, 'trace_an': -225}
  • id: 208047012
    {'hecke_orbit_code': 40532396746998585, 'n': 13, 'trace_an': 654}
  • id: 208047013
    {'hecke_orbit_code': 40532396746998585, 'n': 14, 'trace_an': -728}
  • id: 208047014
    {'hecke_orbit_code': 40532396746998585, 'n': 15, 'trace_an': 0}
  • id: 208047015
    {'hecke_orbit_code': 40532396746998585, 'n': 16, 'trace_an': -415}
  • id: 208047016
    {'hecke_orbit_code': 40532396746998585, 'n': 17, 'trace_an': 2366}
  • id: 208047017
    {'hecke_orbit_code': 40532396746998585, 'n': 18, 'trace_an': 567}
  • id: 208047018
    {'hecke_orbit_code': 40532396746998585, 'n': 19, 'trace_an': -2872}
  • id: 208047019
    {'hecke_orbit_code': 40532396746998585, 'n': 20, 'trace_an': 0}
  • id: 208047020
    {'hecke_orbit_code': 40532396746998585, 'n': 21, 'trace_an': -1548}
  • id: 208047021
    {'hecke_orbit_code': 40532396746998585, 'n': 22, 'trace_an': -847}
  • id: 208047022
    {'hecke_orbit_code': 40532396746998585, 'n': 23, 'trace_an': -2272}
  • id: 208047023
    {'hecke_orbit_code': 40532396746998585, 'n': 24, 'trace_an': -2079}
  • id: 208047024
    {'hecke_orbit_code': 40532396746998585, 'n': 25, 'trace_an': 0}
  • id: 208047025
    {'hecke_orbit_code': 40532396746998585, 'n': 26, 'trace_an': 3422}
  • id: 208047026
    {'hecke_orbit_code': 40532396746998585, 'n': 27, 'trace_an': -2187}
  • id: 208047027
    {'hecke_orbit_code': 40532396746998585, 'n': 28, 'trace_an': -4592}
  • id: 208047028
    {'hecke_orbit_code': 40532396746998585, 'n': 29, 'trace_an': -7738}
  • id: 208047029
    {'hecke_orbit_code': 40532396746998585, 'n': 30, 'trace_an': 0}
  • id: 208047030
    {'hecke_orbit_code': 40532396746998585, 'n': 31, 'trace_an': 568}
  • id: 208047031
    {'hecke_orbit_code': 40532396746998585, 'n': 32, 'trace_an': -1001}
  • id: 208047032
    {'hecke_orbit_code': 40532396746998585, 'n': 33, 'trace_an': 3267}
  • id: 208047033
    {'hecke_orbit_code': 40532396746998585, 'n': 34, 'trace_an': 2506}
  • id: 208047034
    {'hecke_orbit_code': 40532396746998585, 'n': 35, 'trace_an': 0}
  • id: 208047035
    {'hecke_orbit_code': 40532396746998585, 'n': 36, 'trace_an': 2025}
  • id: 208047036
    {'hecke_orbit_code': 40532396746998585, 'n': 37, 'trace_an': 9126}
  • id: 208047037
    {'hecke_orbit_code': 40532396746998585, 'n': 38, 'trace_an': -13076}
  • id: 208047038
    {'hecke_orbit_code': 40532396746998585, 'n': 39, 'trace_an': -5886}
  • id: 208047039
    {'hecke_orbit_code': 40532396746998585, 'n': 40, 'trace_an': 0}
  • id: 208047040
    {'hecke_orbit_code': 40532396746998585, 'n': 41, 'trace_an': -8758}
  • id: 208047041
    {'hecke_orbit_code': 40532396746998585, 'n': 42, 'trace_an': 6552}
  • id: 208047042
    {'hecke_orbit_code': 40532396746998585, 'n': 43, 'trace_an': 14672}
  • id: 208047043
    {'hecke_orbit_code': 40532396746998585, 'n': 44, 'trace_an': -3025}
  • id: 208047044
    {'hecke_orbit_code': 40532396746998585, 'n': 45, 'trace_an': 0}
  • id: 208047045
    {'hecke_orbit_code': 40532396746998585, 'n': 46, 'trace_an': -28768}
  • id: 208047046
    {'hecke_orbit_code': 40532396746998585, 'n': 47, 'trace_an': 19392}
  • id: 208047047
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  • id: 208047967
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  • id: 208047968
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  • id: 208047969
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  • id: 208047970
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  • id: 208047971
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  • id: 208047972
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  • id: 208047973
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  • id: 208047974
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  • id: 208047975
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  • id: 208047976
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  • id: 208047977
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  • id: 208047978
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  • id: 208047979
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  • id: 208047980
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  • id: 208047981
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  • id: 208047982
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  • id: 208047983
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  • id: 208047984
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  • id: 208047985
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  • id: 208047986
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  • id: 208047987
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  • id: 208047988
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  • id: 208047989
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  • id: 208047990
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  • id: 208047991
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  • id: 208047992
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  • id: 208047993
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  • id: 208047994
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  • id: 208047995
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  • id: 208047996
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  • id: 208047997
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  • id: 208047998
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  • id: 208047999
    {'hecke_orbit_code': 40532396746998585, 'n': 1000, 'trace_an': 0}