Embedded newform data - 49.10.c.c.30.1

Formats: - HTML - YAML - JSON - 2025-09-02T22:05:37.022481

• 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': 4900, 'analytic_conductor': 25.236755972029783, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [49, 3, [3], [2]], 'cm_discs': [], 'conrey_index': 18, 'dim': 4, 'field_disc': 335241, 'field_disc_factorization': [[3, 2], [193, 2]], 'field_poly': [2304, 48, 49, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [33856, 1104, 220, -6, 1]], [3, [462422016, 1849344, 28900, -86, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007336861466673, 'hecke_ring_generator_nbound': 9, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '49.10.c.c', 'level': 49, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7], 'level_radical': 7, 'minimal_twist': '7.10.a.a', 'nf_label': '4.0.335241.2', 'prim_orbit_index': 3, 'qexp_display': 'q+(3\\beta _{1}+\\beta _{2})q^{2}+(43-43\\beta _{1}+11\\beta _{2}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '9.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '49.10.c', 'trace_display': [6, 86, 2238, 0], 'trace_hash': 2234968787099134291, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.057', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.015', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.193', 'prec': 17}, {'__RealLiteral__': 0, 'data': '69.178', 'prec': 20}, {'__RealLiteral__': 0, 'data': '41.660', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2077.247', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 'traces': [4, 6, 86, 620, 2238, -7976, 0, 5232, -11038, -43384, -35316, -52136, -53060, 0, -614272, 752, 463920, -332042, 925426, 947520, 0, 2355776, -778128, -3301296, -2081722, 4127424, -5597224, 0, -20007168, -4095872, -2467260, -1284576, 15640784, -4493352, 0, -11225432, -30735552, -3504660, -47417944, 32409984, -38206896, 0, 8130200, 18650976, -22338298, -12367584, 82195020, -57612992, 0, -176625252, -59971356, -33466384, 55189812, -52834472, 164891632, 0, 63562232, -66558004, 7069218, -76165376, -44316386, 109820400, 0, 294834304, 369979260, 83258464, 241921336, -165645816, -390362304, 0, 412987632, 279147720, 499153188, -3571524, -813228014, 565023536, 0, 189941920, -468535096, -249904128, 585745634, -389586092, 888047916, 0, 346950120, 416830608, -28134340, 986010816, 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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

  
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-0.004807354780508047], [-0.05978900621341511, 0.10355759649568627], [0.24206051884176744, 0.0]], 'angles': [-0.45535373315885797, 0.03960099443316276, -0.4281092607152975, None, -0.4691194923388086, -0.39747252969260116, 0.004994278860262239, -0.3539047639330201, -0.4722329027307919, -0.3303959768064598, -0.13821396834706817, 0.23780489453068596, -0.2394053830545241, -0.2950792046217578, -0.26118480784625814, 0.06606312246504362, -0.06166973208042313, -0.468599948078657, -0.07205897815539761, -0.2898825696415787, -0.012063129222186414, -0.4166322777519214, -0.14695561982510194, -0.4572476703536603, -0.33588195951352984, -0.08019016952789668, -0.4467654576404809, -0.4917813348874224, -0.48574202249318554, -0.31739955067085623, -0.3395769692369743, -0.4332966349862672, -0.022557399106469634, -0.15213094719913062, -0.44504998238225274, -0.05385530110088536, -0.0519296045554527, 0.16866183175457114, -0.28963781008042255, -0.4422778172122326, 0.0417611407952261, -0.30519246109395914, 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-0.397017925479568, -0.15447483273086673, -0.14517031857409876, -0.09705237300447292, -0.40008039168412984, -0.013570927314133565, -0.44494510493418565, -0.4861286252327187, -0.4140187413239783, -0.21062018434305838, -0.002394481527364808, -0.27817759252707985, -0.1959310860194121, 0.005215228095571962, -0.2837051781334408, -0.48007327781890363, 0.19233020895901132, -0.337644358092457, -0.32621968504573723, -0.3457737012551845, 0.09355615856771192, -0.16611450765764765, -0.4121574309495554, -0.45032780521211746, -0.2829607459524529, -0.004132234795886592, -0.46255873791384794, -0.2189762603239018, -0.2569493337473682, 0.2322109291094714, -0.08582198859758035, -0.1058011842551392, -0.10675006493776563, -0.12077809287099492], 'char_orbit_index': 3, 'conrey_index': 30, 'dual_conrey_index': 18, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 3, 'embedding_root_imag': 5.582592005865763, 'embedding_root_real': -3.223110997362451, 'hecke_orbit': 3, 'hecke_orbit_code': 9007336861466673, 'label': '49.10.c.c.30.1', 'level': 49, 'weight': 10}
• 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': 4900, 'analytic_conductor': 25.236755972029783, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [49, 3, [3], [2]], 'conrey_index': 18, 'cusp_dim': 76, 'dim': 56, 'eis_dim': 16, 'eis_new_dim': 8, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 137606725681, 'hecke_orbit_dims': [2, 4, 4, 6, 6, 8, 10, 16], 'label': '49.10.c', 'level': 49, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7], 'level_radical': 7, 'mf_dim': 92, 'mf_new_dim': 64, 'num_forms': 8, 'prim_orbit_index': 3, 'relative_dim': 28, 'sturm_bound': 46, 'trace_bound': 3, 'trace_display': [35, -161, -1533, 0], 'traces': [56, 35, -161, -6825, -1533, 8708, 0, -68250, -142261, -4298, -59731, -135604, 319676, 0, -181118, -2079973, -324681, 1711801, 16121, 350616, 0, 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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: 40702331
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 30, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007336861466673, 'source_is_minimal': False, 'source_label': '49.10.c.c.30.1', 'source_level': 49, 'target_conrey_index': 30, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007336861466673, 'target_is_minimal': False, 'target_label': '49.10.c.c.30.1', 'target_level': 49, 'twist_class_label': '7.10.a.a.1.2', 'twist_class_level': 7, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 10}
  • id: 40702332
    {'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 30, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007336861466673, 'source_is_minimal': False, 'source_label': '49.10.c.c.30.1', 'source_level': 49, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 167772167, 'target_is_minimal': True, 'target_label': '7.10.a.a.1.2', 'target_level': 7, 'twist_class_label': '7.10.a.a.1.2', 'twist_class_level': 7, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 10}
  • id: 40702333
    {'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 30, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007336861466673, 'source_is_minimal': False, 'source_label': '49.10.c.c.30.1', 'source_level': 49, 'target_conrey_index': 18, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737234096177, 'target_is_minimal': False, 'target_label': '49.10.c.b.18.1', 'target_level': 49, 'twist_class_label': '7.10.a.a.1.2', 'twist_class_level': 7, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 10}
  • id: 40702334
    {'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 30, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007336861466673, 'source_is_minimal': False, 'source_label': '49.10.c.c.30.1', 'source_level': 49, 'target_conrey_index': 18, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007336861466673, 'target_is_minimal': False, 'target_label': '49.10.c.c.18.1', 'target_level': 49, 'twist_class_label': '7.10.a.a.1.2', 'twist_class_level': 7, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 10}
  • id: 40702335
    {'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 30, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007336861466673, 'source_is_minimal': False, 'source_label': '49.10.c.c.30.1', 'source_level': 49, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503599795142705, 'target_is_minimal': False, 'target_label': '49.10.a.b.1.2', 'target_level': 49, 'twist_class_label': '7.10.a.a.1.2', 'twist_class_level': 7, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 10}
  • id: 40702336
    {'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 30, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007336861466673, 'source_is_minimal': False, 'source_label': '49.10.c.c.30.1', 'source_level': 49, 'target_conrey_index': 30, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737234096177, 'target_is_minimal': False, 'target_label': '49.10.c.b.30.1', 'target_level': 49, 'twist_class_label': '7.10.a.a.1.2', 'twist_class_level': 7, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 10}
  • id: 40702337
    {'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 30, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007336861466673, 'source_is_minimal': False, 'source_label': '49.10.c.c.30.1', 'source_level': 49, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510799049883711, 'target_is_minimal': False, 'target_label': '63.10.a.d.1.1', 'target_level': 63, 'twist_class_label': '7.10.a.a.1.2', 'twist_class_level': 7, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 10}
  • id: 40702338
    {'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 30, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007336861466673, 'source_is_minimal': False, 'source_label': '49.10.c.c.30.1', 'source_level': 49, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398677254256, 'target_is_minimal': False, 'target_label': '112.10.a.e.1.2', 'target_level': 112, 'twist_class_label': '7.10.a.a.1.2', 'twist_class_level': 7, 'twisting_char_label': '28.23', 'twisting_conrey_index': 23, 'weight': 10}
  • id: 40702339
    {'conductor': 35, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 30, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007336861466673, 'source_is_minimal': False, 'source_label': '49.10.c.c.30.1', 'source_level': 49, 'target_conrey_index': 99, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503668514619567, 'target_is_minimal': False, 'target_label': '175.10.b.b.99.3', 'target_level': 175, 'twist_class_label': '7.10.a.a.1.2', 'twist_class_level': 7, 'twisting_char_label': '35.2', 'twisting_conrey_index': 2, 'weight': 10}
  • id: 40702340
    {'conductor': 35, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 30, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007336861466673, 'source_is_minimal': False, 'source_label': '49.10.c.c.30.1', 'source_level': 49, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599795142831, 'target_is_minimal': False, 'target_label': '175.10.a.b.1.1', 'target_level': 175, 'twist_class_label': '7.10.a.a.1.2', 'twist_class_level': 7, 'twisting_char_label': '35.9', 'twisting_conrey_index': 9, 'weight': 10}
  • id: 40702341
    {'conductor': 35, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 30, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007336861466673, 'source_is_minimal': False, 'source_label': '49.10.c.c.30.1', 'source_level': 49, 'target_conrey_index': 99, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503668514619567, 'target_is_minimal': False, 'target_label': '175.10.b.b.99.2', 'target_level': 175, 'twist_class_label': '7.10.a.a.1.2', 'twist_class_level': 7, 'twisting_char_label': '35.23', 'twisting_conrey_index': 23, 'weight': 10}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 165275
    {'charpoly_factorization': [[[33856, 1104, 220, -6, 1], 1]], 'hecke_orbit_code': 9007336861466673, 'p': 2}
  • id: 165276
    {'charpoly_factorization': [[[462422016, 1849344, 28900, -86, 1], 1]], 'hecke_orbit_code': 9007336861466673, 'p': 3}
  • id: 165277
    {'charpoly_factorization': [[[239770832896, 1095868032, 5498308, -2238, 1], 1]], 'hecke_orbit_code': 9007336861466673, 'p': 5}
  • id: 165278
    {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007336861466673, 'p': 7}
  • id: 165279
    {'charpoly_factorization': [[[3324110398310204416, -64388636360064, 3070434160, 35316, 1], 1]], 'hecke_orbit_code': 9007336861466673, 'p': 11}
  • id: 165280
    {'charpoly_factorization': [[[-22750162568, 26530, 1], 2]], 'hecke_orbit_code': 9007336861466673, 'p': 13}
  • id: 165281
    {'charpoly_factorization': [[[1343771773396632823824, -17006144028229440, 178564273668, -463920, 1], 1]], 'hecke_orbit_code': 9007336861466673, 'p': 17}
  • id: 165282
    {'charpoly_factorization': [[[45546428304064519170304, -197500800310771552, 642997189524, -925426, 1], 1]], 'hecke_orbit_code': 9007336861466673, 'p': 19}
  • id: 165283
    {'charpoly_factorization': [[[16541427879748898390016, -100077751907647488, 734096666880, 778128, 1], 1]], 'hecke_orbit_code': 9007336861466673, 'p': 23}
  • id: 165284
    {'charpoly_factorization': [[[23287739754332, 10003584, 1], 2]], 'hecke_orbit_code': 9007336861466673, 'p': 29}
  • id: 165285
    {'charpoly_factorization': [[[12303738227320475725440000, -8654330155676688000, 9595040396400, 2467260, 1], 1]], 'hecke_orbit_code': 9007336861466673, 'p': 31}
  • id: 165286
    {'charpoly_factorization': [[[50304128732108626372614594576, 6893548461480614890752, 720388337460228, 30735552, 1], 1]], 'hecke_orbit_code': 9007336861466673, 'p': 37}
  • id: 165287
    {'charpoly_factorization': [[[-51779041048756, 19103448, 1], 2]], 'hecke_orbit_code': 9007336861466673, 'p': 41}
  • id: 165288
    {'charpoly_factorization': [[[-207953886197312, -4065100, 1], 2]], 'hecke_orbit_code': 9007336861466673, 'p': 43}
  • id: 165289
    {'charpoly_factorization': [[[2199243248178750610726110004224, -121893946759993043583360, 5273036738309232, -82195020, 1], 1]], 'hecke_orbit_code': 9007336861466673, 'p': 47}
  • id: 165290
    {'charpoly_factorization': [[[12080829908375164528639789779216, 191825924321217847691952, 6521664175592940, -55189812, 1], 1]], 'hecke_orbit_code': 9007336861466673, 'p': 53}
  • id: 165291
    {'charpoly_factorization': [[[211137883515227733123620929536, 3248287467252856584192, 509471268059268, -7069218, 1], 1]], 'hecke_orbit_code': 9007336861466673, 'p': 59}
  • id: 165292
    {'charpoly_factorization': [[[3006601216636812104890631301376, -76842635374879429408864, 3697897435645620, 44316386, 1], 1]], 'hecke_orbit_code': 9007336861466673, 'p': 61}
  • id: 165293
    {'charpoly_factorization': [[[26045864602207654723139734579456, -1234649149248442460142976, 53422417885799280, -241921336, 1], 1]], 'hecke_orbit_code': 9007336861466673, 'p': 67}
  • id: 165294
    {'charpoly_factorization': [[[-33205648824769536, -206493816, 1], 2]], 'hecke_orbit_code': 9007336861466673, 'p': 71}
  • id: 165295
    {'charpoly_factorization': [[[3688288959200177230636587623447184, -30314214442850628081136464, 188422620243293916, -499153188, 1], 1]], 'hecke_orbit_code': 9007336861466673, 'p': 73}
  • id: 165296
    {'charpoly_factorization': [[[4916567897394208829856956416, -32852857367845721437184, 219595254425987520, 468535096, 1], 1]], 'hecke_orbit_code': 9007336861466673, 'p': 79}
  • id: 165297
    {'charpoly_factorization': [[[-40442499893399184, -444023958, 1], 2]], 'hecke_orbit_code': 9007336861466673, 'p': 83}
  • id: 165298
    {'charpoly_factorization': [[[10166082905650656633464093294151184, 64152929507575944339466512, 304009204287399244, 636267396, 1], 1]], 'hecke_orbit_code': 9007336861466673, 'p': 89}
  • id: 165299
    {'charpoly_factorization': [[[660100302235719324, 1632716064, 1], 2]], 'hecke_orbit_code': 9007336861466673, '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': 3, 'hecke_orbit': 3, 'label': '49.10.c.c', 'level': 49, 'portrait': 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', 'weight': 10}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 30064201
    {'hecke_orbit_code': 9007336861466673, 'n': 1, 'trace_an': 4}
  • id: 30064202
    {'hecke_orbit_code': 9007336861466673, 'n': 2, 'trace_an': 6}
  • id: 30064203
    {'hecke_orbit_code': 9007336861466673, 'n': 3, 'trace_an': 86}
  • id: 30064204
    {'hecke_orbit_code': 9007336861466673, 'n': 4, 'trace_an': 620}
  • id: 30064205
    {'hecke_orbit_code': 9007336861466673, 'n': 5, 'trace_an': 2238}
  • id: 30064206
    {'hecke_orbit_code': 9007336861466673, 'n': 6, 'trace_an': -7976}
  • id: 30064207
    {'hecke_orbit_code': 9007336861466673, 'n': 7, 'trace_an': 0}
  • id: 30064208
    {'hecke_orbit_code': 9007336861466673, 'n': 8, 'trace_an': 5232}
  • id: 30064209
    {'hecke_orbit_code': 9007336861466673, 'n': 9, 'trace_an': -11038}
  • id: 30064210
    {'hecke_orbit_code': 9007336861466673, 'n': 10, 'trace_an': -43384}
  • id: 30064211
    {'hecke_orbit_code': 9007336861466673, 'n': 11, 'trace_an': -35316}
  • id: 30064212
    {'hecke_orbit_code': 9007336861466673, 'n': 12, 'trace_an': -52136}
  • id: 30064213
    {'hecke_orbit_code': 9007336861466673, 'n': 13, 'trace_an': -53060}
  • id: 30064214
    {'hecke_orbit_code': 9007336861466673, 'n': 14, 'trace_an': 0}
  • id: 30064215
    {'hecke_orbit_code': 9007336861466673, 'n': 15, 'trace_an': -614272}
  • id: 30064216
    {'hecke_orbit_code': 9007336861466673, 'n': 16, 'trace_an': 752}
  • id: 30064217
    {'hecke_orbit_code': 9007336861466673, 'n': 17, 'trace_an': 463920}
  • id: 30064218
    {'hecke_orbit_code': 9007336861466673, 'n': 18, 'trace_an': -332042}
  • id: 30064219
    {'hecke_orbit_code': 9007336861466673, 'n': 19, 'trace_an': 925426}
  • id: 30064220
    {'hecke_orbit_code': 9007336861466673, 'n': 20, 'trace_an': 947520}
  • id: 30064221
    {'hecke_orbit_code': 9007336861466673, 'n': 21, 'trace_an': 0}
  • id: 30064222
    {'hecke_orbit_code': 9007336861466673, 'n': 22, 'trace_an': 2355776}
  • id: 30064223
    {'hecke_orbit_code': 9007336861466673, 'n': 23, 'trace_an': -778128}
  • id: 30064224
    {'hecke_orbit_code': 9007336861466673, 'n': 24, 'trace_an': -3301296}
  • id: 30064225
    {'hecke_orbit_code': 9007336861466673, 'n': 25, 'trace_an': -2081722}
  • id: 30064226
    {'hecke_orbit_code': 9007336861466673, 'n': 26, 'trace_an': 4127424}
  • id: 30064227
    {'hecke_orbit_code': 9007336861466673, 'n': 27, 'trace_an': -5597224}
  • id: 30064228
    {'hecke_orbit_code': 9007336861466673, 'n': 28, 'trace_an': 0}
  • id: 30064229
    {'hecke_orbit_code': 9007336861466673, 'n': 29, 'trace_an': -20007168}
  • id: 30064230
    {'hecke_orbit_code': 9007336861466673, 'n': 30, 'trace_an': -4095872}
  • id: 30064231
    {'hecke_orbit_code': 9007336861466673, 'n': 31, 'trace_an': -2467260}
  • id: 30064232
    {'hecke_orbit_code': 9007336861466673, 'n': 32, 'trace_an': -1284576}
  • id: 30064233
    {'hecke_orbit_code': 9007336861466673, 'n': 33, 'trace_an': 15640784}
  • id: 30064234
    {'hecke_orbit_code': 9007336861466673, 'n': 34, 'trace_an': -4493352}
  • id: 30064235
    {'hecke_orbit_code': 9007336861466673, 'n': 35, 'trace_an': 0}
  • id: 30064236
    {'hecke_orbit_code': 9007336861466673, 'n': 36, 'trace_an': -11225432}
  • id: 30064237
    {'hecke_orbit_code': 9007336861466673, 'n': 37, 'trace_an': -30735552}
  • id: 30064238
    {'hecke_orbit_code': 9007336861466673, 'n': 38, 'trace_an': -3504660}
  • id: 30064239
    {'hecke_orbit_code': 9007336861466673, 'n': 39, 'trace_an': -47417944}
  • id: 30064240
    {'hecke_orbit_code': 9007336861466673, 'n': 40, 'trace_an': 32409984}
  • id: 30064241
    {'hecke_orbit_code': 9007336861466673, 'n': 41, 'trace_an': -38206896}
  • id: 30064242
    {'hecke_orbit_code': 9007336861466673, 'n': 42, 'trace_an': 0}
  • id: 30064243
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