Newform data - 256.12.a.o

Formats: - HTML - YAML - JSON - 2025-02-11T10:13:57.718101

• 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': 36864, 'analytic_conductor': 196.69585422325474, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1]], 'atkin_lehner_string': '-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [256, 1, [255, 5], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 10, 'field_disc': 407249023013505639396569079326739790684684448521216, 'field_disc_factorization': [[2, 10], [7, 2], [23, 1], [353, 1], [999840527660258387833, 2]], 'field_poly': [-20440645894144, 0, 760691642368, 0, -5521716928, 0, 8617108, 0, -5011, 0, 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': 1, 'hecke_cutters': [[3, [-23616501181712148139121664, 0, 2820473894112854402304, 0, -58059024148420992, 0, 415491272352, 0, -1121932, 0, 1]], [5, [-46208751498243071728497409638400000000, 0, 12886904566420501696672768000000, 0, -922914430681034275840000, 0, 24403540255091200, 0, -264891952, 0, 1]], [7, [-53374179670054702907392, 5740462575196131328, 342941398016, -5087977856, 16808, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050394984513792, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 2437194452343092416207650816, 'hecke_ring_index_factorization': [[2, 85], [3, 2], [7, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '256.12.a.o', 'level': 256, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2], 'level_radical': 2, 'minimal_twist': '8.12.b.a', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{3}+(2\\beta _{1}+\\beta _{4})q^{5}+(-3362+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 10, 'rm_discs': [], 'sato_tate_group': '11.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '256.12.a', 'trace_display': [0, 0, 0, -33616], 'trace_hash': 2050316704334848806, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.604', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '387.525', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '23913.289', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.507', 'prec': 17}, 'traces': [10, 0, 0, 0, 0, 0, -33616, 0, 472394, 0, 0, 0, 0, 0, -3391792, 0, 2639732, 0, 0, 0, 0, 0, -45357808, 0, 41502654, 0, 0, 0, 0, 0, -442035392, 0, -54732216, 0, 0, 0, 0, 0, -431459312, 0, 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• mf_hecke_nf •

  Column	Type
  an	jsonb
  ap	jsonb
  char_orbit_index	smallint
  field_poly	numeric[]
  hecke_orbit_code	bigint
  hecke_ring_character_values	jsonb
  hecke_ring_cyclotomic_generator	integer
  hecke_ring_denominators	numeric[]
  hecke_ring_inverse_denominators	numeric[]
  hecke_ring_inverse_numerators	numeric[]
  hecke_ring_numerators	numeric[]
  hecke_ring_power_basis	boolean
  hecke_ring_rank	integer
  label	text
  level	integer
  maxp	integer
  weight	smallint

  
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'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1420, 0, 0, -1, 0, 0, -1, 1, 1], [65680128, 0, -139, -45, 0, -16, 3, 0, 0, 0], [0, 2290956, 0, 0, -96593, 0, 0, -3409, 1361, 1553], [103231047712, 0, -53817, -50511, 0, -28368, 3873, 0, 0, 0], [0, 3610559092, 0, 0, -231320719, 0, 0, -6097039, 2662543, 2477263], [168440485682784, 0, 191584289, -56106201, 0, -47878192, 2452407, 0, 0, 0], [0, 5493305137836, 0, 0, -486153544457, 0, 0, -10601277193, 5154901769, 3991931081], [277287157581455008, 0, 771154942119, -59707921839, 0, -80836523856, -2225850303, 0, 0, 0], [0, 8171782676204212, 0, 0, -976660222166335, 0, 0, -18332159091007, 9730139486527, 6488027798911]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2656124071129088, 0, -27251267768256, 0, 31671582116, 0, -9960207, 0, 149], [29780898726656, 0, -450735578944, 0, 1624201260, 0, -1593437, 0, 463, 0], [55181414575357952, 0, -183379598326848, 0, -3210195094180, 0, 4129573071, 0, -1283029, 0], [0, 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• 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

  
  {'ALdims': [44, 42], 'Nk2': 36864, 'analytic_conductor': 196.69585422325474, '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': [256, 1, [255, 5], [1, 1]], 'conrey_index': 1, 'cusp_dim': 340, 'dim': 86, 'eis_dim': 24, 'eis_new_dim': 4, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 201326848, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 2, 4, 4, 6, 6, 8, 8, 8, 10, 10, 12], 'label': '256.12.a', 'level': 256, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2], 'level_radical': 2, 'mf_dim': 364, 'mf_new_dim': 90, 'num_forms': 17, 'plus_dim': 44, 'prim_orbit_index': 1, 'relative_dim': 86, 'sturm_bound': 384, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [86, 0, 0, 0, 0, 0, 0, 0, 4842022, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 761718754, 0, 0, 0, 0, 0, 0, 0, 708584, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 20848125510, 0, 0, 0, 0, 0, 0, 0, -4525726280, 0, 0, 0, 0, 0, 0, 0, -3574618080, 0, 0, 0, 0, 0, 0, 0, 92385298388, 0, 0, 0, 0, 0, 0, 0, 244075616654, 0, 0, 0, 0, 0, 0, 0, -104349567180, 0, 0, 0, 0, 0, 0, 0, -291432459620, 0, 0, 0, 0, 0, 0, 0, 7713285888, 0, 0, 0, 0, 0, 0, 0, -280852321012, 0, 0, 0, 0, 0, 0, 0, 2569990421078, 0, 0, 0, 0, 0, 0, 0, -2155018176536, 0, 0, 0, 0, 0, 0, 0, 1287964354756, 0, 0, 0, 0, 0, 0, 0, 1528957082400, 0, 0, 0, 0, 0, 0, 0, 520110266076, 0, 0, 0, 0, 0, 0, 0, -4114734984448, 0, 0, 0, 0, 0, 0, 0, 9377049369170, 0, 0, 0, 0, 0, 0, 0, 4895449076008, 0, 0, 0, 0, 0, 0, 0, -12887986579808, 0, 0, 0, 0, 0, 0, 0, -1143877459620, 0, 0, 0, 0, 0, 0, 0, -22886251956488, 0, 0, 0, 0, 0, 0, 0, -6128668640088, 0, 0, 0, 0, 0, 0, 0, 25592349875200, 0, 0, 0, 0, 0, 0, 0, 70110628667602, 0, 0, 0, 0, 0, 0, 0, 22162479549076, 0, 0, 0, 0, 0, 0, 0, -39572540696900, 0, 0, 0, 0, 0, 0, 0, 56916891643704, 0, 0, 0, 0, 0, 0, 0, 139119872205612, 0, 0, 0, 0, 0, 0, 0, 74555756380448, 0, 0, 0, 0, 0, 0, 0, 122756003668736, 0, 0, 0, 0, 0, 0, 0, 54937065894708, 0, 0, 0, 0, 0, 0, 0, 61685024717154, 0, 0, 0, 0, 0, 0, 0, 179828333468272, 0, 0, 0, 0, 0, 0, 0, 196978332941216, 0, 0, 0, 0, 0, 0, 0, -87466464837404, 0, 0, 0, 0, 0, 0, 0, -400633860922008, 0, 0, 0, 0, 0, 0, 0, -320448919770624, 0, 0, 0, 0, 0, 0, 0, 505103434677324, 0, 0, 0, 0, 0, 0, 0, -53841519532800, 0, 0, 0, 0, 0, 0, 0, -268540691998740, 0, 0, 0, 0, 0, 0, 0, -113771567352442, 0, 0, 0, 0, 0, 0, 0, -283637589882780, 0, 0, 0, 0, 0, 0, 0, 232192268145952, 0, 0, 0, 0, 0, 0, 0, 3492852225280, 0, 0, 0, 0, 0, 0, 0, 938510088565240, 0, 0, 0, 0, 0, 0, 0, -1891592470269956, 0, 0, 0, 0, 0, 0, 0, 1224925515041572, 0, 0, 0, 0, 0, 0, 0, 1107103106280808, 0, 0, 0, 0, 0, 0, 0, 1260813894594100, 0, 0, 0, 0, 0, 0, 0, 2518458013608252, 0, 0, 0, 0, 0, 0, 0, -468933607369578, 0, 0, 0, 0, 0, 0, 0, 796892738335068, 0, 0, 0, 0, 0, 0, 0, -2216065967800892, 0, 0, 0, 0, 0, 0, 0, -1830257599609856, 0, 0, 0, 0, 0, 0, 0, -243028384722632, 0, 0, 0, 0, 0, 0, 0, -3386846013586272, 0, 0, 0, 0, 0, 0, 0, -4040887519609352, 0, 0, 0, 0, 0, 0, 0, -4470662957299456, 0, 0, 0, 0, 0, 0, 0, -3341170241954400, 0, 0, 0, 0, 0, 0, 0, 403411526499664, 0, 0, 0, 0, 0, 0, 0, 3007983224879300, 0, 0, 0, 0, 0, 0, 0, 4909369439776550, 0, 0, 0, 0, 0, 0, 0, -9130252607391304, 0, 0, 0, 0, 0, 0, 0, 3012258616092576, 0, 0, 0, 0, 0, 0, 0, -2790445940324864, 0, 0, 0, 0, 0, 0, 0, 7572775745320656, 0, 0, 0, 0, 0, 0, 0, 1376371742740324, 0, 0, 0, 0, 0, 0, 0, -944377671040468, 0, 0, 0, 0, 0, 0, 0, -9947863408632416, 0, 0, 0, 0, 0, 0, 0, -13776645383447476, 0, 0, 0, 0, 0, 0, 0, 23315681214965556, 0, 0, 0, 0, 0, 0, 0, -15966117722597632, 0, 0, 0, 0, 0, 0, 0, 2585730087020820, 0, 0, 0, 0, 0, 0, 0, 517114904415398, 0, 0, 0, 0, 0, 0, 0, -2370781936431304, 0, 0, 0, 0, 0, 0, 0, -29136165506526244, 0, 0, 0, 0, 0, 0, 0, 6516806292212984, 0, 0, 0, 0, 0, 0, 0, 16754250788369908, 0, 0, 0, 0, 0, 0, 0, -26294037367755008, 0, 0, 0, 0, 0, 0, 0, 25005905188483100, 0, 0, 0, 0, 0, 0, 0, 29469120725234424, 0, 0, 0, 0, 0, 0, 0, 21655161487447840, 0, 0, 0, 0, 0, 0, 0, 1548197348263016, 0, 0, 0, 0, 0, 0, 0, 35511975265707520, 0, 0, 0, 0, 0, 0, 0, -4841305543388160, 0, 0, 0, 0, 0, 0, 0, -1223136112218880, 0, 0, 0, 0, 0, 0, 0, 58379147935512046, 0, 0, 0, 0, 0, 0, 0, -22445617705813400, 0, 0, 0, 0, 0, 0, 0, -31177737215229792, 0, 0, 0, 0, 0, 0, 0, -54462161663501272, 0, 0, 0, 0, 0, 0, 0, 13693678151402852, 0, 0, 0, 0, 0, 0, 0, -903742228053028, 0, 0, 0, 0, 0, 0, 0, 10451215643901696, 0, 0, 0, 0, 0, 0, 0, 41629150430838176, 0, 0, 0, 0, 0, 0, 0, -48223527787015776, 0, 0, 0, 0, 0, 0, 0, 82240223832950356, 0, 0, 0, 0, 0, 0, 0, 17245428131684356, 0, 0, 0, 0, 0, 0, 0, 43341519572109736, 0, 0, 0, 0, 0, 0, 0, 72591374928037816, 0, 0, 0, 0, 0, 0, 0, -8421085448493988, 0, 0, 0, 0, 0, 0, 0, -56045675583470030, 0, 0, 0, 0, 0, 0, 0, 35780155660226856, 0, 0, 0, 0, 0, 0, 0, -14608853304628444, 0, 0, 0, 0, 0, 0, 0, -169671056043964896, 0, 0, 0, 0, 0, 0, 0, -22094776804390788, 0, 0, 0, 0, 0, 0, 0, -32744357520571764, 0, 0, 0, 0, 0, 0, 0, -126612923316703232, 0, 0, 0, 0, 0, 0, 0, -102226972916180736, 0, 0, 0, 0, 0, 0, 0, 117571972520256160, 0, 0, 0, 0, 0, 0, 0, 69125727728302632, 0, 0, 0, 0, 0, 0, 0, 68304849472367416, 0, 0, 0, 0, 0, 0, 0, -23419452326666212, 0, 0, 0, 0, 0, 0, 0, -78479230848469740, 0, 0, 0, 0, 0, 0, 0, 351172707756231168, 0, 0, 0, 0, 0, 0, 0, 83695433623752548, 0, 0, 0, 0, 0, 0, 0, 76457857968439830, 0, 0, 0, 0, 0, 0, 0, -116131319956418960, 0, 0, 0, 0, 0, 0, 0, 25084628753247612, 0, 0, 0, 0, 0, 0, 0, -110339986596548832, 0, 0, 0, 0, 0, 0, 0, -53774296248961816, 0, 0, 0, 0, 0, 0, 0], 'weight': 12, 'weight_parity': 1}
• mf_twists_nf •

  Column	Type
  conductor	integer
  degree	integer
  multiplicity	smallint
  order	integer
  parity	smallint
  self_twist_disc	integer
  source_char_orbit	smallint
  source_dim	integer
  source_hecke_orbit	integer
  source_is_minimal	boolean
  source_label	text
  source_level	integer
  target_char_orbit	smallint
  target_dim	integer
  target_hecke_orbit	integer
  target_is_minimal	boolean
  target_label	text
  target_level	integer
  twist_class_label	text
  twist_class_level	integer
  twisting_char_label	text
  twisting_char_orbit	smallint
  weight	smallint

  
  
  • id: 206462
    {'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 10, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '256.12.a.o', 'source_level': 256, 'target_char_orbit': 2, 'target_dim': 10, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '8.12.b.a', 'target_level': 8, 'twist_class_label': '8.12.b.a', 'twist_class_level': 8, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 12}
  • id: 206463
    {'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 10, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '256.12.a.o', 'source_level': 256, 'target_char_orbit': 2, 'target_dim': 10, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '32.12.b.a', 'target_level': 32, 'twist_class_label': '8.12.b.a', 'twist_class_level': 8, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 12}
  • id: 206464
    {'conductor': 48, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 10, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '256.12.a.o', 'source_level': 256, 'target_char_orbit': 4, 'target_dim': 10, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '72.12.d.b', 'target_level': 72, 'twist_class_label': '8.12.b.a', 'twist_class_level': 8, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 12}
  • id: 206465
    {'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 10, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '256.12.a.o', 'source_level': 256, 'target_char_orbit': 1, 'target_dim': 10, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '256.12.a.o', 'target_level': 256, 'twist_class_label': '8.12.b.a', 'twist_class_level': 8, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 12}
  • id: 206466
    {'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 10, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '256.12.a.o', 'source_level': 256, 'target_char_orbit': 1, 'target_dim': 10, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '256.12.a.o', 'target_level': 256, 'twist_class_label': '8.12.b.a', 'twist_class_level': 8, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 12}
  • id: 206467
    {'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 10, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '256.12.a.o', 'source_level': 256, 'target_char_orbit': 1, 'target_dim': 10, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '256.12.a.p', 'target_level': 256, 'twist_class_label': '8.12.b.a', 'twist_class_level': 8, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 12}
  • id: 206468
    {'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 10, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '256.12.a.o', 'source_level': 256, 'target_char_orbit': 1, 'target_dim': 10, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '256.12.a.p', 'target_level': 256, 'twist_class_label': '8.12.b.a', 'twist_class_level': 8, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 12}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 600200
    {'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 63050394984513792, 'p': 2}
  • id: 600201
    {'charpoly_factorization': [[[-23616501181712148139121664, 0, 2820473894112854402304, 0, -58059024148420992, 0, 415491272352, 0, -1121932, 0, 1], 1]], 'hecke_orbit_code': 63050394984513792, 'p': 3}
  • id: 600202
    {'charpoly_factorization': [[[-46208751498243071728497409638400000000, 0, 12886904566420501696672768000000, 0, -922914430681034275840000, 0, 24403540255091200, 0, -264891952, 0, 1], 1]], 'hecke_orbit_code': 63050394984513792, 'p': 5}
  • id: 600203
    {'charpoly_factorization': [[[-53374179670054702907392, 5740462575196131328, 342941398016, -5087977856, 16808, 1], 2]], 'hecke_orbit_code': 63050394984513792, 'p': 7}
  • id: 600204
    {'charpoly_factorization': [[[-234579275104829849305057411359265152610019708623073049600, 0, 11868986349957218140345267668568177745204937984, 0, -166271484934684467723420452162583936, 0, 875567741151183142367392, 0, -1694678264812, 0, 1], 1]], 'hecke_orbit_code': 63050394984513792, 'p': 11}
  • id: 600205
    {'charpoly_factorization': [[[-2420253206721280992014751346978974437974464107491737600000000, 0, 18166320518077600669199720632871200939000012800000, 0, -33582103090859234211762329515458912256, 0, 25560729331440321766230528, 0, -8514991865520, 0, 1], 1]], 'hecke_orbit_code': 63050394984513792, 'p': 13}
  • id: 600206
    {'charpoly_factorization': [[[-1894450461674062120944353220856608, 970811985811064631015812688, 263908985205471275824, -91042485528664, -1319866, 1], 2]], 'hecke_orbit_code': 63050394984513792, 'p': 17}
  • id: 600207
    {'charpoly_factorization': [[[-57351798139343933406477086012781617436141678428252656251780675984384, 0, 19626519662047499883640298587803794571821716885359666432, 0, -1880095023102889465495523800703188105720192, 0, 58498786857314216659365292704, 0, -455770595385036, 0, 1], 1]], 'hecke_orbit_code': 63050394984513792, 'p': 19}
  • id: 600208
    {'charpoly_factorization': [[[-6247259610314289076910345789490757632, 963473072506095830715226804224, -7182333605783064347648, -2043017769696640, 22678904, 1], 2]], 'hecke_orbit_code': 63050394984513792, 'p': 23}
  • id: 600209
    {'charpoly_factorization': [[[-152942083870052161756177322862015748560529065429133787331465615916646400000000, 0, 7174464604553060769940505984383713922451577859819237576089600000, 0, -5327685225653948658924603014386193856411100667904, 0, 1119096521716561177556419634997760, 0, -62915508443782192, 0, 1], 1]], 'hecke_orbit_code': 63050394984513792, 'p': 29}
  • id: 600210
    {'charpoly_factorization': [[[52779972504050800163946824438554541686784, 1072518966774057499468736916094976, -15700132022567086636466176, -83338987687417856, 221017696, 1], 2]], 'hecke_orbit_code': 63050394984513792, 'p': 31}
  • id: 600211
    {'charpoly_factorization': [[[-12584598485725938134100115950331632651022915520719813156680915537349675376295542784, 0, 27877869625198847735734118390529639082298784532296128504057748062208, 0, -4710858988980461466315255524486091952757821945962496, 0, 96154165427506217964484719505697280, 0, -581376568474849584, 0, 1], 1]], 'hecke_orbit_code': 63050394984513792, 'p': 37}
  • id: 600212
    {'charpoly_factorization': [[[4732686184090085357170846565258382652740000, 503027345750820373201541844488485200, 178502481660453823880462224, -1564543424131434136, -327453982, 1], 2]], 'hecke_orbit_code': 63050394984513792, 'p': 41}
  • id: 600213
    {'charpoly_factorization': [[[-194118714263425465740507562505904364319223558438795520431907412980299127293301458720685056, 0, 2018062119696069141234241039205577904547366876127984607604216256161285376, 0, -6310246851516315898840289922288182890156107747612175744, 0, 8355577549856900063497983640252319904, 0, -4835632939512700524, 0, 1], 1]], 'hecke_orbit_code': 63050394984513792, 'p': 43}
  • id: 600214
    {'charpoly_factorization': [[[148605012306310172791344756739840224418332672, 631146088176953761895715726753595392, -241183714789524482339954688, -2588626844484392448, -280113264, 1], 2]], 'hecke_orbit_code': 63050394984513792, 'p': 47}
  • id: 600215
    {'charpoly_factorization': [[[-4574096966868597408959450609731533320337270310518057428472572725812904297532846538111320064, 0, 166323898038133817528099240539357625337117556970293284499941345038298316800, 0, -385361084213340473108247058266929754700875904866817105920, 0, 186292417806575457557144333610373990912, 0, -25423076479575717808, 0, 1], 1]], 'hecke_orbit_code': 63050394984513792, 'p': 53}
  • id: 600216
    {'charpoly_factorization': [[[-1526223425169824232864678412311748111817844715572704333235511864394117148136941455230890916864, 0, 463289866557556442784968020200751870185972354812392501921230394769516722603264, 0, -290397053942914566063186242529144846488289155069528721237376, 0, 14238484159077499206975805325548427793568, 0, -213424706125803246508, 0, 1], 1]], 'hecke_orbit_code': 63050394984513792, 'p': 59}
  • id: 600217
    {'charpoly_factorization': [[[-22205459045143745663288440362993311279993690574252468368080516172259512680608662478857137265049600, 0, 6577675602383339795364011033131405623796237809333366243633031628999307720720384, 0, -546548546638465781930801920752575266993205244706956349562880, 0, 17715870252724119940951870686257487407616, 0, -231407839855579971888, 0, 1], 1]], 'hecke_orbit_code': 63050394984513792, 'p': 61}
  • id: 600218
    {'charpoly_factorization': [[[-1379964387992980401236071183159384485675130502466193345517213085819391371415643825731228998053108736, 0, 148105768370475506522529469595051186019999038388314574253171212863542144705946880, 0, -5464695080870755443529818430679488501806499154412484892031360, 0, 83126994266851169137429707976222489820832, 0, -499301244450703697292, 0, 1], 1]], 'hecke_orbit_code': 63050394984513792, 'p': 67}
  • id: 600219
    {'charpoly_factorization': [[[9531767686906722300567695371959146007404596199424, 2314633383394423117060297848403861131264, -860444087517954534755687574528, -205252451604494801280, 5884730088, 1], 2]], 'hecke_orbit_code': 63050394984513792, 'p': 71}
  • id: 600220
    {'charpoly_factorization': [[[58747950016340682063315153834340682212830087435168, -6197350572437776339656764686708679807664, -5602033941006351514117940725104, -397526886370882863512, 16152445186, 1], 2]], 'hecke_orbit_code': 63050394984513792, 'p': 73}
  • id: 600221
    {'charpoly_factorization': [[[-381007694982446068626579287693959870886871663902720, 279844943448551904390027617328561889017856, -11039197594087504220861813891072, -1384957632631479973376, 28645835248, 1], 2]], 'hecke_orbit_code': 63050394984513792, 'p': 79}
  • id: 600222
    {'charpoly_factorization': [[[-6150908080476254885577063481170132235939192941023227535995643682222085669287310950714466041451059076096, 0, 375287949953379105076203393339455712133984241761258109243810159290694593280963159296, 0, -3261359355149272220946206648248973718091062083033064969660436864, 0, 6618676795778246765114183947287223936694944, 0, -4585712178147105737164, 0, 1], 1]], 'hecke_orbit_code': 63050394984513792, 'p': 83}
  • id: 600223
    {'charpoly_factorization': [[[-9166623096874790189301434124596818488451758399608160, 832982788978732312224072328062981479017296, 75211396162050801310591231733008, -4001179032114227671576, -54138005902, 1], 2]], 'hecke_orbit_code': 63050394984513792, 'p': 89}
  • id: 600224
    {'charpoly_factorization': [[[31531193380091527841353490795344840996127671067083232, 1184177659988206560964446291936971163475024, -192498505539385124662434860625232, -9815961974224459434200, -30497641450, 1], 2]], 'hecke_orbit_code': 63050394984513792, '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': 15, 'label': '256.12.a.o', 'level': 256, 'portrait': 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', 'weight': 12}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 60232399
    {'hecke_orbit_code': 63050394984513792, 'n': 1, 'trace_an': 10}
  • id: 60232400
    {'hecke_orbit_code': 63050394984513792, 'n': 2, 'trace_an': 0}
  • id: 60232401
    {'hecke_orbit_code': 63050394984513792, 'n': 3, 'trace_an': 0}
  • id: 60232402
    {'hecke_orbit_code': 63050394984513792, 'n': 4, 'trace_an': 0}
  • id: 60232403
    {'hecke_orbit_code': 63050394984513792, 'n': 5, 'trace_an': 0}
  • id: 60232404
    {'hecke_orbit_code': 63050394984513792, 'n': 6, 'trace_an': 0}
  • id: 60232405
    {'hecke_orbit_code': 63050394984513792, 'n': 7, 'trace_an': -33616}
  • id: 60232406
    {'hecke_orbit_code': 63050394984513792, 'n': 8, 'trace_an': 0}
  • id: 60232407
    {'hecke_orbit_code': 63050394984513792, 'n': 9, 'trace_an': 472394}
  • id: 60232408
    {'hecke_orbit_code': 63050394984513792, 'n': 10, 'trace_an': 0}
  • id: 60232409
    {'hecke_orbit_code': 63050394984513792, 'n': 11, 'trace_an': 0}
  • id: 60232410
    {'hecke_orbit_code': 63050394984513792, 'n': 12, 'trace_an': 0}
  • id: 60232411
    {'hecke_orbit_code': 63050394984513792, 'n': 13, 'trace_an': 0}
  • id: 60232412
    {'hecke_orbit_code': 63050394984513792, 'n': 14, 'trace_an': 0}
  • id: 60232413
    {'hecke_orbit_code': 63050394984513792, 'n': 15, 'trace_an': -3391792}
  • id: 60232414
    {'hecke_orbit_code': 63050394984513792, 'n': 16, 'trace_an': 0}
  • id: 60232415
    {'hecke_orbit_code': 63050394984513792, 'n': 17, 'trace_an': 2639732}
  • id: 60232416
    {'hecke_orbit_code': 63050394984513792, 'n': 18, 'trace_an': 0}
  • id: 60232417
    {'hecke_orbit_code': 63050394984513792, 'n': 19, 'trace_an': 0}
  • id: 60232418
    {'hecke_orbit_code': 63050394984513792, 'n': 20, 'trace_an': 0}
  • id: 60232419
    {'hecke_orbit_code': 63050394984513792, 'n': 21, 'trace_an': 0}
  • id: 60232420
    {'hecke_orbit_code': 63050394984513792, 'n': 22, 'trace_an': 0}
  • id: 60232421
    {'hecke_orbit_code': 63050394984513792, 'n': 23, 'trace_an': -45357808}
  • id: 60232422
    {'hecke_orbit_code': 63050394984513792, 'n': 24, 'trace_an': 0}
  • id: 60232423
    {'hecke_orbit_code': 63050394984513792, 'n': 25, 'trace_an': 41502654}
  • id: 60232424
    {'hecke_orbit_code': 63050394984513792, 'n': 26, 'trace_an': 0}
  • id: 60232425
    {'hecke_orbit_code': 63050394984513792, 'n': 27, 'trace_an': 0}
  • id: 60232426
    {'hecke_orbit_code': 63050394984513792, 'n': 28, 'trace_an': 0}
  • id: 60232427
    {'hecke_orbit_code': 63050394984513792, 'n': 29, 'trace_an': 0}
  • id: 60232428
    {'hecke_orbit_code': 63050394984513792, 'n': 30, 'trace_an': 0}
  • id: 60232429
    {'hecke_orbit_code': 63050394984513792, 'n': 31, 'trace_an': -442035392}
  • id: 60232430
    {'hecke_orbit_code': 63050394984513792, 'n': 32, 'trace_an': 0}
  • id: 60232431
    {'hecke_orbit_code': 63050394984513792, 'n': 33, 'trace_an': -54732216}
  • id: 60232432
    {'hecke_orbit_code': 63050394984513792, 'n': 34, 'trace_an': 0}
  • id: 60232433
    {'hecke_orbit_code': 63050394984513792, 'n': 35, 'trace_an': 0}
  • id: 60232434
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