Newform data - 21.8.e.b

Formats: - HTML - YAML - JSON - 2026-04-30T04:04:39.870935

• 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': 1344, 'analytic_conductor': 6.560085535166557, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [21, 3, [8, 10], [3, 2]], 'cm_discs': [], 'conrey_index': 4, 'dim': 10, 'field_disc': -650383486249274519034494075910192, 'field_disc_factorization': [[-1, 1], [2, 4], [3, 5], [514057, 2], [795628529, 2]], 'field_poly': [2149991424, -1688305248, 1327986585, -36459504, 15003636, -66144, 133333, -96, 412, 0, 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, [20819026944, 3665492352, 1148351184, 4363128, 18167964, 504660, 130570, 2142, 547, 15, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503874639495189, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 37044, 'hecke_ring_index_factorization': [[2, 2], [3, 3], [7, 3]], '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': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '21.8.e.b', 'level': 21, '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': True, 'level_primes': [3, 7], 'level_radical': 21, 'minimal_twist': '21.8.e.b', 'prim_orbit_index': 3, 'qexp_display': 'q+(-3-\\beta _{1}+3\\beta _{4})q^{2}+3^{3}\\beta _{4}q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '7.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '21.8.e', 'trace_display': [-15, 135, 198, -859], 'trace_hash': 57544355424382429, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.510', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.577', 'prec': 17}, {'__RealLiteral__': 0, 'data': '407.530', 'prec': 24}, {'__RealLiteral__': 0, 'data': '302.205', 'prec': 24}, {'__RealLiteral__': 0, 'data': '32461.575', 'prec': 30}], 'trace_zratio': 0, 'traces': [10, -15, 135, -229, 198, -810, -859, 7134, -3645, 5081, -7248, 6183, -2546, -54, 10692, 14759, 34764, -10935, -33011, -215466, -7668, 215318, 68100, 96309, -220429, 70902, -196830, -531005, 673704, -137187, 204369, -196251, 195696, 1004928, -1143606, 333882, -641253, -234282, -34371, 1076523, 2052708, -80433, -1170178, -2090499, 144342, -186216, 240882, 796986, -265121, 3547356, -938628, -679876, -2433156, 295245, 6177400, -7001253, -1782594, -10417369, 391950, -2908791, 4635058, 20806722, 419175, 5213554, -9115062, 2906793, -6466853, -4833240, 3677400, -13159295, 3186060, -2600343, 11050365, -12498234, 5951583, 28458392, -19132464, 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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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324568776, -47061368, 0, 16933424, -1393456, -696728, -696728, 0], [2244338993, -354276870, 0, -26130812, -2244338993, 6627796, -43033674, 28689116, -40475370, -6627796], [7927572862, 0, 609207684, 31646440, 0, -26393572, -6829864, -3414932, -3414932, 0], [-1608760716, -453102284, 0, 87198800, 1608760716, -680016, 13954272, -9302848, 91850224, 680016], [-8985768457, 0, -215276232, -28543338, 0, 263538, 3105672, 1552836, 1552836, 0], [0, -673027788, -673027788, 727196, -842953314, 0, -727196, 2181588, -25662152, 2413704], [0, 837194352, 837194352, 11261644, -697056744, 0, -11261644, 33784932, 50343926, 23426282], [10396023874, 0, -888413962, 19182313, 0, 13014325, -30578520, -15289260, -15289260, 0], [0, -151114448, -151114448, -5924880, -4126152110, 0, 5924880, -17774640, -130163326, 19987582], [8687313044, 0, 16920828, 15648990, 0, 7170126, -22927008, -11463504, -11463504, 0], [-12708832440, 26987690, 0, -3092961, 12708832440, -15953409, -9353088, 6235392, -6210657, 15953409], [0, 566087400, 566087400, -5767720, 4404056192, 0, 5767720, -17303160, -8136272, -7931648], [-10083686862, 0, -101137944, 90799089, 0, -13628649, -13405596, -6702798, -6702798, 0], [0, 773928732, 773928732, -9002294, 7108972779, 0, 9002294, -27006882, -14649711, -13156657], [18438790608, 0, 463670324, -18151168, 0, -34102908, -12894952, -6447476, -6447476, 0], [-2454575197, 0, -639864, 59757339, 0, 39245001, 31684164, 15842082, 15842082, 0], [0, 530304440, 530304440, 7430420, -6311818328, 0, -7430420, 22291260, -141750870, 8219974], [2052417832, -917108784, 0, 80293362, -2052417832, -19816254, 9122724, -6081816, 83334270, 19816254], [-8103175714, -780852560, 0, 88630964, 8103175714, 17281700, 8833464, -5888976, 91575452, -17281700], [-12573027714, -181782864, 0, 23072206, 12573027714, -62450962, -63296052, 42197368, 1973522, 62450962], [2437528020, 0, 2022275364, 25789614, 0, -35591358, -10314888, -5157444, -5157444, 0], [5599741151, 0, -1112144664, -81479823, 0, 39292047, 25742292, 12871146, 12871146, 0], [329403182, 208093892, 0, -40830822, -329403182, -53357206, -43935072, 29290048, -55475846, 53357206], [0, -1422055548, -1422055548, 12031242, 5853816661, 0, -12031242, 36093726, 110710335, 3051369], [2705423860, 0, -224750556, 16985834, 0, 65715430, -9472376, -4736188, -4736188, 0], [24559797853, 567248232, 0, -59812875, -24559797853, -4227147, 49668858, -33112572, -43256589, 4227147], [-10785958422, -627469576, 0, -142528248, 10785958422, 49190424, 51563916, -34375944, -125340276, -49190424], [-18518984457, 0, -251760288, -104500332, 0, -54058388, -53538320, -26769160, -26769160, 0], [0, -676474038, -676474038, -20934092, -3062255990, 0, 20934092, -62802276, -102164447, 3587359], [2951234082, 523787408, 0, 37384314, -2951234082, 6661866, -53774964, 35849976, 19459326, -6661866], [23893974172, 0, 304208464, -107311314, 0, -9054914, -6818080, -3409040, -3409040, 0], [-3320648047, 0, 1404826878, -14028490, 0, 6411420, 1562292, 781146, 781146, 0], [7431082988, 1002235456, 0, -45844207, -7431082988, 20813081, 82660698, -55107132, -18290641, -20813081], [0, -1419606248, -1419606248, -9905008, -2975958886, 0, 9905008, -29715024, -156827884, -3703636], [0, -324353648, -324353648, -158252, -23982193956, 0, 158252, -474756, 98840060, -12783804], [0, -416975094, -416975094, -27386982, 6493068073, 0, 27386982, -82160946, -69561450, -34277382], [0, 58529256, 58529256, -1402538, 1553183973, 0, 1402538, -4207614, 192243329, 17831807]], 'char_orbit_index': 5, 'field_poly': [2149991424, -1688305248, 1327986585, -36459504, 15003636, -66144, 133333, -96, 412, 0, 1], 'hecke_orbit_code': 4503874639495189, 'hecke_ring_character_values': [[8, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [10, [-1, 0, 0, 0, 1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 95631430784217457886547, 95631430784217457886547, 633462597514656441040487328, 382525723136869831546188, 3770610699492002625240996, 211154199171552147013495776, 211154199171552147013495776, 316731298757328220520243664], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -165, 0, 0, 0, 1, 0], [29, 0, 236, -3, 0, -1, -2, -1, -1, 0], [-38834, -225, 0, -301, 38834, -29, -3, 2, -302, 29], [0, -60821, -60821, 412, 26500, 0, -412, 1236, -776, 412], [9993185, 0, -127740, 87869, 0, 11900, 728, 364, 364, 0], [17760607, 16454456, 0, 278810, -17760607, 131941, 399855, -266570, 412095, -131941], [0, 52459845, 52459845, -140149, -2700590774, 0, 140149, -420447, 25147837, -3873473], [-7673460616, 0, 4568983721, -136312296, 0, -40131832, -79881968, -39940984, -39940984, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [-121577256968774864590368, -479343763093541842944, 375560443165642871424, 785117587112638480696, 3344682922600689568, 6345597275666944, 7795900773372256, 18325249512448, 25091781738784, -19608482386725], [-15821344148364994352726655, 154682360687598247623168, -121191888582903498127728, 339355098847086812976, -1079316119355471612796, -2047699463613151168, -2620803379344871369, -5913486464246656, -8097019992843148, -25091781738784], [635567959299597563253359520, -499915021528488106471854231, 8456110148742757921482768, -5642105235869417863954380, 24733692895407556165536, -49994520615272738398363, 35837577453995254176, -154490094728773876132, 129886587329666400, -374572540695476143], [142569490296596779936246440, -4661208404667300468286080, 3652004321171600101317180, 13248197908198975651693, 32524182747593509914135, 61705509972809716080, 112130039853807961989, 178197389059131360, 243996131657341755, 470544062002577], [-428051448745831508315381748, 90405667164571336266296265, -10411126229221492953787713, 2568366193485212746577718, -85672239232890801487545, 13911902443715891068568, -341665888415763984027, 47211473956566074753, -769831160884862394, 51815071821897230], [-18141228410266381356232992864, 18668482260993667728508849281, -527625394784868593615247936, 211059034944183630907320396, -826147082452471206331272, 1174374694478986098806093, -4177717329730737703800, 3159625170143634656972, 11101149836412776712, 4486924464277224017], [34956237761477865978934773600, -27495326184066845855951982705, 676240257352403832695048016, -310315787972817982517490900, 1360353109247415589104480, -2749698633840000611909965, 1971066759969738979680, -8496955210082563187260, 7143762303131652000, -20601489738251187865], [116956599299488267313346561888, -92007299981234967614537838705, 3723382687107053955628815012, -1046545534910717789115847416, 4779091869422804812586784, -9498169050779050907448937, 7007742324505792195296, -29261533613935593938512, -59529852643547445660, -71500648218531384841]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 10, 'label': '21.8.e.b', 'level': 21, 'maxp': 997, 'weight': 8}
• 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': 1344, 'analytic_conductor': 6.560085535166557, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [21, 3, [8, 10], [3, 2]], 'conrey_index': 4, 'cusp_dim': 34, 'dim': 18, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 275012124693, 'hecke_orbit_dims': [8, 10], 'label': '21.8.e', 'level': 21, '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': True, 'level_primes': [3, 7], 'level_radical': 21, 'mf_dim': 42, 'mf_new_dim': 18, 'num_forms': 2, 'prim_orbit_index': 3, 'relative_dim': 9, 'sturm_bound': 21, 'trace_bound': 1, 'trace_display': [-14, 27, 2, -705], 'traces': [18, -14, 27, -330, 2, -864, -705, 4440, -6561, 10266, -2038, 3456, -10134, -29986, 21276, 35814, 46200, -10206, 36147, -391448, -54540, 329844, 214320, 132678, 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-21585668454, 107330328177, 91707458218, 21457520865, 53650227540], 'weight': 8, '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: 16550
    {'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '21.8.e.b', 'source_level': 21, 'target_char_orbit': 5, 'target_dim': 10, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '21.8.e.b', 'target_level': 21, 'twist_class_label': '21.8.e.b', 'twist_class_level': 21, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 8}
  • id: 16551
    {'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '21.8.e.b', 'source_level': 21, 'target_char_orbit': 5, 'target_dim': 10, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '21.8.e.b', 'target_level': 21, 'twist_class_label': '21.8.e.b', 'twist_class_level': 21, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 8}
  • id: 16552
    {'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '21.8.e.b', 'source_level': 21, 'target_char_orbit': 5, 'target_dim': 10, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '63.8.e.d', 'target_level': 63, 'twist_class_label': '21.8.e.b', 'twist_class_level': 21, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 8}
  • id: 16553
    {'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '21.8.e.b', 'source_level': 21, 'target_char_orbit': 5, 'target_dim': 10, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '63.8.e.d', 'target_level': 63, 'twist_class_label': '21.8.e.b', 'twist_class_level': 21, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 8}
  • id: 16554
    {'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '21.8.e.b', 'source_level': 21, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '147.8.a.j', 'target_level': 147, 'twist_class_label': '21.8.e.b', 'twist_class_level': 21, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 8}
  • id: 16555
    {'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '21.8.e.b', 'source_level': 21, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '147.8.a.k', 'target_level': 147, 'twist_class_label': '21.8.e.b', 'twist_class_level': 21, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 8}
  • id: 16556
    {'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '21.8.e.b', 'source_level': 21, 'target_char_orbit': 5, 'target_dim': 10, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '147.8.e.n', 'target_level': 147, 'twist_class_label': '21.8.e.b', 'twist_class_level': 21, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 8}
  • id: 16557
    {'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '21.8.e.b', 'source_level': 21, 'target_char_orbit': 5, 'target_dim': 10, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '147.8.e.n', 'target_level': 147, 'twist_class_label': '21.8.e.b', 'twist_class_level': 21, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 8}
  • id: 16558
    {'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '21.8.e.b', 'source_level': 21, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '441.8.a.w', 'target_level': 441, 'twist_class_label': '21.8.e.b', 'twist_class_level': 21, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 8}
  • id: 16559
    {'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 10, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '21.8.e.b', 'source_level': 21, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '441.8.a.x', 'target_level': 441, 'twist_class_label': '21.8.e.b', 'twist_class_level': 21, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 8}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 82775
    {'charpoly_factorization': [[[20819026944, 3665492352, 1148351184, 4363128, 18167964, 504660, 130570, 2142, 547, 15, 1], 1]], 'hecke_orbit_code': 4503874639495189, 'p': 2}
  • id: 82776
    {'charpoly_factorization': [[[729, -27, 1], 5]], 'hecke_orbit_code': 4503874639495189, 'p': 3}
  • id: 82777
    {'charpoly_factorization': [[[17457751628084079225000000, -81669279927864217500000, 621223880101276500000, -1270485895359375000, 8037986438895000, -12804473880750, 73540473625, -57868350, 325129, -198, 1], 1]], 'hecke_orbit_code': 4503874639495189, 'p': 5}
  • id: 82778
    {'charpoly_factorization': [[[378818692265664781682717625943, 395128434891931626479072059, 280111309383631012794507, -347656000945404285190, -455737777481608825, -874723134222987, -553386741775, -512598310, 501501, 859, 1], 1]], 'hecke_orbit_code': 4503874639495189, 'p': 7}
  • id: 82779
    {'charpoly_factorization': [[[167675596877676784235693551928654400, 269366615995686403390807150380960, 301525223246838719307908208864, 182587183841119776707334600, 82991525067305530247976, 20156008440790745418, 4165143281451157, 391339433676, 86956327, 7248, 1], 1]], 'hecke_orbit_code': 4503874639495189, 'p': 11}
  • id: 82780
    {'charpoly_factorization': [[[1990296673405497184, 1175266010105668, -831953102381, -183213425, 1273, 1], 2]], 'hecke_orbit_code': 4503874639495189, 'p': 13}
  • id: 82781
    {'charpoly_factorization': [[[7291786583125836639364406546339478267494400, -308601133611186301134442767536640491520, 90245899352244654980632577804599296, -1383387844600676476739501162496, 821550000988858105776881664, -19365218358501458903040, 1620732835576871424, -27235292396544, 2069542608, -34764, 1], 1]], 'hecke_orbit_code': 4503874639495189, 'p': 17}
  • id: 82782
    {'charpoly_factorization': [[[2648170311994984849945831846491271261398016, 1344642262824173161937215983838138193024, 536646285127239253520739136317632304, 67683576984528432747275482732396, 6463468309029078556178855069, 232442458355396755466655, 7787653283299811930, 113574561033307, 3089072490, 33011, 1], 1]], 'hecke_orbit_code': 4503874639495189, 'p': 19}
  • id: 82783
    {'charpoly_factorization': [[[1586233686642478349033153338461133087586018918400, -18162985539353760206171543377717528488837120, 1196649797146918180111502749218269822976, -15691115107807102694534241424637952, 685106838039952042997118713856, -7713326459026928983412736, 154032961662137295360, -839726512942464, 15361210608, -68100, 1], 1]], 'hecke_orbit_code': 4503874639495189, 'p': 23}
  • id: 82784
    {'charpoly_factorization': [[[-51036788987522850133821888, -550448518207508052912, 12713839075397388, -16644380737, -336852, 1], 2]], 'hecke_orbit_code': 4503874639495189, 'p': 29}
  • id: 82785
    {'charpoly_factorization': [[[5905021908804579754274885264590634558830498796361, -2058661347798411525144163126630666829963105025, 737693046318279647253747200672276916038127, 6687122067419454530007821558862854154, 115933338420409040620539040617925, -129857656207374336203072967, 4151379309280030611837, -4675898198080582, 99367506519, -204369, 1], 1]], 'hecke_orbit_code': 4503874639495189, 'p': 31}
  • id: 82786
    {'charpoly_factorization': [[[322427848014833975089731093447779384613774517328646144, 6946729619313675548016893182117276603242081821952, 109127464302885607148857089476859425912502096, 835395410398536386646898961978044100988, 5051560466935739515278246027754501, 17514159229890219678212776641, 59138884204715227749858, 121306990435646789, 444708456306, 641253, 1], 1]], 'hecke_orbit_code': 4503874639495189, 'p': 37}
  • id: 82787
    {'charpoly_factorization': [[[106518420038030146295385600, -1845793570537738897920, -10628091099752664, 265044042860, -1026354, 1], 2]], 'hecke_orbit_code': 4503874639495189, 'p': 41}
  • id: 82788
    {'charpoly_factorization': [[[-2196901998604058736484450580, 32064298658760257710496, -83236792572009953, -249663953453, 585089, 1], 2]], 'hecke_orbit_code': 4503874639495189, 'p': 43}
  • id: 82789
    {'charpoly_factorization': [[[2453611187630262725634958376449344332022590250057753600, -110242993449649034552254478858841056414147927093760, 5086075350250223375142672556075170719674396416, 3419622609733380419730255477416791092480, 63986277044355951021277386971306304, -36517939830919867348754733024, 610121520127547998890192, 26200549033904592, 870480848220, -240882, 1], 1]], 'hecke_orbit_code': 4503874639495189, 'p': 47}
  • id: 82790
    {'charpoly_factorization': [[[4978958116180083889811262657407301610847697511627168321536, -20016555934398984760973690853108695355072529516231680, 114021782171948278436152801717098883197260338176, -51595148057529085504670971216889810245440, 429231592732946728031259657166284480, 822725784836579002123770419556, 3186609041835913736055681, 4166058616912053252, 4598877653601, 2433156, 1], 1]], 'hecke_orbit_code': 4503874639495189, 'p': 53}
  • id: 82791
    {'charpoly_factorization': [[[6526518647525903935089649071386339857921691341956964454400, -36840730958698884833719212908520448196696464417244160, 237420694283379919985166740075915967329640428544, -69226730063364914635963751477078725985472, 766124755794288845124073913974153536, -254963691627427253516654266020, 1812044074588412319519993, -158024902116922758, 1611405059235, -391950, 1], 1]], 'hecke_orbit_code': 4503874639495189, 'p': 59}
  • id: 82792
    {'charpoly_factorization': [[[33740400748453387063355624585316355325604464898632784400000000, -71654933104924286040732104072185780411311218317960000000, 122533927240583147833578934350413585577863292000000, -121918553046044515967429827680318021903200000, 115580521342112638283807072044022600000, -82644152548340971226096841612000, 61754527728695224224808400, -33733640221600778480, 16407674502204, -4635058, 1], 1]], 'hecke_orbit_code': 4503874639495189, 'p': 61}
  • id: 82793
    {'charpoly_factorization': [[[71403263082363890935263260952450406516077385598933486890000, 836918490277145812985343900354107119531226404021874000, 7129275674520443103079945611676812960324010479300, 24643192444383981896566467751280092984865860, 59192376350725456187865610548771160169, 86860719165525087434906396235129, 92575441643862609683163278, 61885382658194535397, 29148470116842, 6466853, 1], 1]], 'hecke_orbit_code': 4503874639495189, 'p': 67}
  • id: 82794
    {'charpoly_factorization': [[[-37462278455811640562554541375712, 81662153197477971125661264, 34152537463146332496, -22335085448856, -1593030, 1], 2]], 'hecke_orbit_code': 4503874639495189, 'p': 71}
  • id: 82795
    {'charpoly_factorization': [[[231682544484360500900201171628599818049561966294152294091141136, -1067493586706377549724606561870335518169351523265237914976, 3593142124750577871838084923232461202985223138637164, -4708169501377831093497575801980479810982442448, 4191789368620765472044834309458941674357, -2466222554027723938921534900072893, 1078816484682104660266073250, -333583702265109257329, 76162972240182, -11050365, 1], 1]], 'hecke_orbit_code': 4503874639495189, 'p': 73}
  • id: 82796
    {'charpoly_factorization': [[[5370882348760353544440235867762740601392333430158438033584104681, -15500681622088881691445210584824982751188588412756662824623, 48714933548462937749168454868776558300766584162618927, 6829111752285363798449827703730886369354005846, 8806120405218259080123970009529710622757, 3305183315919633779254691681972343, 1856127620705066139339418941, 480656350716433291302, 105510860411127, 11716129, 1], 1]], 'hecke_orbit_code': 4503874639495189, 'p': 79}
  • id: 82797
    {'charpoly_factorization': [[[-836430568137682532132820072481656, -83088789772989632998690116, 198295879412608170678, -3602708564535, -10132296, 1], 2]], 'hecke_orbit_code': 4503874639495189, 'p': 83}
  • id: 82798
    {'charpoly_factorization': [[[12056536720870318366850693291936478563481770579180552080898188640256, -6072807821197072346678168181318476748955967811371313974476800, 2812823730915254866804345668270987048042693393631150080, -788291944846720185957294353621000968921484132352, 236691730842612759838194467501823396182016, -54575523125402703565862203492375296, 12214647004104104270334844816, -1914725328687059265696, 247796268718612, -18532824, 1], 1]], 'hecke_orbit_code': 4503874639495189, 'p': 89}
  • id: 82799
    {'charpoly_factorization': [[[-103844277806873088842664249033053928, 4601946573934530714178969212, 2750187830991779505874, -139656458569095, -17061492, 1], 2]], 'hecke_orbit_code': 4503874639495189, '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': 5, 'hecke_orbit': 2, 'label': '21.8.e.b', 'level': 21, 'portrait': 'data:image/png;base64,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', 'weight': 8}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 22256863
    {'hecke_orbit_code': 4503874639495189, 'n': 1, 'trace_an': 10}
  • id: 22256864
    {'hecke_orbit_code': 4503874639495189, 'n': 2, 'trace_an': -15}
  • id: 22256865
    {'hecke_orbit_code': 4503874639495189, 'n': 3, 'trace_an': 135}
  • id: 22256866
    {'hecke_orbit_code': 4503874639495189, 'n': 4, 'trace_an': -229}
  • id: 22256867
    {'hecke_orbit_code': 4503874639495189, 'n': 5, 'trace_an': 198}
  • id: 22256868
    {'hecke_orbit_code': 4503874639495189, 'n': 6, 'trace_an': -810}
  • id: 22256869
    {'hecke_orbit_code': 4503874639495189, 'n': 7, 'trace_an': -859}
  • id: 22256870
    {'hecke_orbit_code': 4503874639495189, 'n': 8, 'trace_an': 7134}
  • id: 22256871
    {'hecke_orbit_code': 4503874639495189, 'n': 9, 'trace_an': -3645}
  • id: 22256872
    {'hecke_orbit_code': 4503874639495189, 'n': 10, 'trace_an': 5081}
  • id: 22256873
    {'hecke_orbit_code': 4503874639495189, 'n': 11, 'trace_an': -7248}
  • id: 22256874
    {'hecke_orbit_code': 4503874639495189, 'n': 12, 'trace_an': 6183}
  • id: 22256875
    {'hecke_orbit_code': 4503874639495189, 'n': 13, 'trace_an': -2546}
  • id: 22256876
    {'hecke_orbit_code': 4503874639495189, 'n': 14, 'trace_an': -54}
  • id: 22256877
    {'hecke_orbit_code': 4503874639495189, 'n': 15, 'trace_an': 10692}
  • id: 22256878
    {'hecke_orbit_code': 4503874639495189, 'n': 16, 'trace_an': 14759}
  • id: 22256879
    {'hecke_orbit_code': 4503874639495189, 'n': 17, 'trace_an': 34764}
  • id: 22256880
    {'hecke_orbit_code': 4503874639495189, 'n': 18, 'trace_an': -10935}
  • id: 22256881
    {'hecke_orbit_code': 4503874639495189, 'n': 19, 'trace_an': -33011}
  • id: 22256882
    {'hecke_orbit_code': 4503874639495189, 'n': 20, 'trace_an': -215466}
  • id: 22256883
    {'hecke_orbit_code': 4503874639495189, 'n': 21, 'trace_an': -7668}
  • id: 22256884
    {'hecke_orbit_code': 4503874639495189, 'n': 22, 'trace_an': 215318}
  • id: 22256885
    {'hecke_orbit_code': 4503874639495189, 'n': 23, 'trace_an': 68100}
  • id: 22256886
    {'hecke_orbit_code': 4503874639495189, 'n': 24, 'trace_an': 96309}
  • id: 22256887
    {'hecke_orbit_code': 4503874639495189, 'n': 25, 'trace_an': -220429}
  • id: 22256888
    {'hecke_orbit_code': 4503874639495189, 'n': 26, 'trace_an': 70902}
  • id: 22256889
    {'hecke_orbit_code': 4503874639495189, 'n': 27, 'trace_an': -196830}
  • id: 22256890
    {'hecke_orbit_code': 4503874639495189, 'n': 28, 'trace_an': -531005}
  • id: 22256891
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  • id: 22257119
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  • id: 22257120
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