Embedded newform data - 63.12.e.b.46.4

Formats: - HTML - YAML - JSON - 2024-05-12T06:39:59.859991

• 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': 9072, 'analytic_conductor': 48.4056203752541, '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': [63, 3, [29, 10], [3, 1]], 'cm_discs': [], 'conrey_index': 37, 'conrey_indexes': [37, 46], 'dim': 12, 'field_disc': 65018542124990601617876038719539424077468870351376, 'field_disc_factorization': [[2, 4], [3, 6], [13, 2], [805799, 2], [12824209, 2], [555768841, 2]], 'field_poly': [4089842896896, 5939576563968, 7281700309008, 1967575859568, 456730004116, 8299724444, 1247863105, 11305015, 2735534, 9475, 1846, -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, [451154710200582144, 118021982224121856, 24451477337014272, 1878602336575488, 122209099938816, 1126163407104, 87935147968, 815009824, 45237824, 137320, 7664, 22, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503874706604095, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 29977432031232, 'hecke_ring_index_factorization': [[2, 20], [3, 5], [7, 6]], '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_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '63.12.e.b', 'level': 63, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'minimal_twist': '7.12.c.a', 'prim_orbit_index': 3, 'qexp_display': 'q+(-4+\\beta _{1}-4\\beta _{2})q^{2}+(\\beta _{1}+426\\beta _{2}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '11.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '63.12.e', 'trace_display': [-22, 0, 8782, -504], 'trace_hash': 1727354703018214636, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.091', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '543.467', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '52815.896', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 'traces': [12, -22, 0, -2556, 8782, 0, -504, -97008, 0, 111546, 1001572, 0, 3864504, 1302994, 0, 39120, 6704802, 0, 4192212, 17646776, 0, -8505684, 33871872, 0, 13695456, -29350300, 0, 181285692, 255125224, 0, -331783920, -163252640, 0, 1853334396, -1407354844, 0, -833082774, 2086458338, 0, -1219023432, -3104076808, 0, -1722177552, 5105122436, 0, 3435559326, 1327587552, 0, 11976558636, 12237094384, 0, -17237001432, -6725755626, 0, 26323921200, -28163516640, 0, -20073189204, 26237179548, 0, -14411013726, -46185665964, 0, 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• mf_hecke_cc •

  Column	Type
  an_normalized	double precision[]
  angles	double precision[]
  char_orbit_index	smallint
  conrey_index	integer
  dual_conrey_index	integer
  dual_embedding_index	integer
  dual_embedding_m	integer
  embedding_index	integer
  embedding_m	integer
  embedding_root_imag	double precision
  embedding_root_real	double precision
  hecke_orbit	integer
  hecke_orbit_code	bigint
  label	text
  level	integer
  weight	smallint

  
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-0.4389086103465072, -0.3672654796125143, -0.11148876289305838, -0.13184542696069915, -0.14076838341452658, -0.4334888882541973, 0.02598340574203275, -0.2640823399481936, -0.22476207695452827, -0.4757825901515363, 0.20941021898141615, -0.327134629570418, -0.4541052510608103, -0.3639131493906377], 'char_orbit_index': 5, 'conrey_index': 46, 'dual_conrey_index': 37, 'dual_embedding_index': 4, 'dual_embedding_m': 4, 'embedding_index': 4, 'embedding_m': 10, 'embedding_root_imag': -0.7397315013490205, 'embedding_root_real': -0.427084181431903, 'hecke_orbit': 2, 'hecke_orbit_code': 4503874706604095, 'label': '63.12.e.b.46.4', 'level': 63, 'weight': 12}
• 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

  
  {'Nk2': 9072, 'analytic_conductor': 48.4056203752541, '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': [63, 3, [29, 10], [3, 1]], 'conrey_index': 37, 'cusp_dim': 168, 'dim': 72, 'eis_dim': 16, 'eis_new_dim': 4, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 275079233599, 'hecke_orbit_dims': [2, 12, 14, 16, 28], 'label': '63.12.e', 'level': 63, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'mf_dim': 184, 'mf_new_dim': 76, 'num_forms': 5, 'prim_orbit_index': 3, 'relative_dim': 36, 'sturm_bound': 96, 'trace_bound': 1, 'trace_display': [24, 0, 3720, -71918], 'traces': [72, 24, 0, -35324, 3720, 0, -71918, 88824, 0, -51910, -687414, 0, 224660, 2644116, 0, -36902132, 9942498, 0, -19279198, -111232176, 0, 69784124, 31117728, 0, -262251014, 77363742, 0, 353685504, 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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: 35173904
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4503874706604095, 'source_is_minimal': False, 'source_label': '63.12.e.b.46.4', 'source_level': 63, 'target_conrey_index': 46, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503874706604095, 'target_is_minimal': False, 'target_label': '63.12.e.b.46.4', 'target_level': 63, 'twist_class_label': '7.12.c.a.2.3', 'twist_class_level': 7, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 12}
  • id: 35173905
    {'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4503874706604095, 'source_is_minimal': False, 'source_label': '63.12.e.b.46.4', 'source_level': 63, 'target_conrey_index': 4, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 137640280071, 'target_is_minimal': True, 'target_label': '7.12.c.a.4.3', 'target_level': 7, 'twist_class_label': '7.12.c.a.2.3', 'twist_class_level': 7, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 12}
  • id: 35173906
    {'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4503874706604095, 'source_is_minimal': False, 'source_label': '63.12.e.b.46.4', 'source_level': 63, 'target_conrey_index': 37, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503874706604095, 'target_is_minimal': False, 'target_label': '63.12.e.b.37.4', 'target_level': 63, 'twist_class_label': '7.12.c.a.2.3', 'twist_class_level': 7, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 12}
  • id: 35173907
    {'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4503874706604095, 'source_is_minimal': False, 'source_label': '63.12.e.b.46.4', 'source_level': 63, 'target_conrey_index': 81, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9007749211881584, 'target_is_minimal': False, 'target_label': '112.12.i.c.81.6', 'target_level': 112, 'twist_class_label': '7.12.c.a.2.3', 'twist_class_level': 7, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 12}
  • id: 35173908
    {'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4503874706604095, 'source_is_minimal': False, 'source_label': '63.12.e.b.46.4', 'source_level': 63, 'target_conrey_index': 2, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 137640280071, 'target_is_minimal': True, 'target_label': '7.12.c.a.2.3', 'target_level': 7, 'twist_class_label': '7.12.c.a.2.3', 'twist_class_level': 7, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 12}
  • id: 35173909
    {'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4503874706604095, 'source_is_minimal': False, 'source_label': '63.12.e.b.46.4', 'source_level': 63, 'target_conrey_index': 30, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36028934659244081, 'target_is_minimal': False, 'target_label': '49.12.c.i.30.3', 'target_level': 49, 'twist_class_label': '7.12.c.a.2.3', 'twist_class_level': 7, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 12}
  • id: 35173910
    {'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4503874706604095, 'source_is_minimal': False, 'source_label': '63.12.e.b.46.4', 'source_level': 63, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27021597965549617, 'target_is_minimal': False, 'target_label': '49.12.a.g.1.4', 'target_level': 49, 'twist_class_label': '7.12.c.a.2.3', 'twist_class_level': 7, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 12}
  • id: 35173911
    {'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4503874706604095, 'source_is_minimal': False, 'source_label': '63.12.e.b.46.4', 'source_level': 63, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22517998338179121, 'target_is_minimal': False, 'target_label': '49.12.a.f.1.4', 'target_level': 49, 'twist_class_label': '7.12.c.a.2.3', 'twist_class_level': 7, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 12}
  • id: 35173912
    {'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4503874706604095, 'source_is_minimal': False, 'source_label': '63.12.e.b.46.4', 'source_level': 63, 'target_conrey_index': 18, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36028934659244081, 'target_is_minimal': False, 'target_label': '49.12.c.i.18.3', 'target_level': 49, 'twist_class_label': '7.12.c.a.2.3', 'twist_class_level': 7, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 12}
  • id: 35173913
    {'conductor': 84, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 12, 'source_embedding_index': 4, 'source_hecke_orbit_code': 4503874706604095, 'source_is_minimal': False, 'source_label': '63.12.e.b.46.4', 'source_level': 63, 'target_conrey_index': 65, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9007749211881584, 'target_is_minimal': False, 'target_label': '112.12.i.c.65.6', 'target_level': 112, 'twist_class_label': '7.12.c.a.2.3', 'twist_class_level': 7, 'twisting_char_label': '84.23', 'twisting_conrey_index': 23, 'weight': 12}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 202675
    {'charpoly_factorization': [[[451154710200582144, 118021982224121856, 24451477337014272, 1878602336575488, 122209099938816, 1126163407104, 87935147968, 815009824, 45237824, 137320, 7664, 22, 1], 1]], 'hecke_orbit_code': 4503874706604095, 'p': 2}
  • id: 202676
    {'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 4503874706604095, 'p': 3}
  • id: 202677
    {'charpoly_factorization': [[[59283388821624981244412021014416416015625, -760807787269369236255466464482964843750, 9262218746080445274477729030209765625, -6777679218314867817254079008906250, 6457360690286708937317210906250, 809729998580276466611231250, 672353428274075909355625, -37777862854776673750, 14310629491473050, -513942810130, 178198409, -8782, 1], 1]], 'hecke_orbit_code': 4503874706604095, 'p': 5}
  • id: 202678
    {'charpoly_factorization': [[[59768263894155949306790119265585619217025149412430681649, 15234308193774628197916514048712864692884333939272, -91539091701445397422046004761874155042617136310, -218441736706997549185123041587381804924328, 57533497551489145476312047265819376623, 95040365358859580798050220916048, -26310959435202039303859508852, 48065078619563069753136, 14715122977902185727, -28255324558104, -5988152310, 504, 1], 1]], 'hecke_orbit_code': 4503874706604095, 'p': 7}
  • id: 202679
    {'charpoly_factorization': [[[14014657695264515716794423194664214220736583097930559029489853515625, -164425836744350221805180988200400452502319628586209702406562500, 1969158197890674011671660900617958847221155847984519344375, -3384033901363807243790084160026962518591306513992100, 24192354524969612884768774284222694352349412926, -43757279188958284545210021795214209451332, 224236674232070667496625198398054555, -267515069010836495634435017764, 680495132033009697093806, -636067140116834404, 1395911375015, -1001572, 1], 1]], 'hecke_orbit_code': 4503874706604095, 'p': 11}
  • id: 202680
    {'charpoly_factorization': [[[3255551682982349859232440869096769344, -6407257105379733381310480815552, -2906931103188458030196624, 11828842913973729504, -4770168255636, -1932252, 1], 2]], 'hecke_orbit_code': 4503874706604095, 'p': 13}
  • id: 202681
    {'charpoly_factorization': [[[29507958085742896072349350972478638462359397551246291240020769786450141076512369, 44793350568702990425289697156885215775093424702772100024971079560795324174, 50157154695680565479299691147808638277598252404212393218295586636189, 25037441117333073620294996667787410442957126691024546772101370, 9741590566972263945033763221121619691623957405046840666, 2120903840099024148107966601599968617801651698118, 408124682124733978261482939696728933156613, 34726511934508185303136486723339542, 6693053578855784242691783994, 249835896350594734986, 138314994583677, -6704802, 1], 1]], 'hecke_orbit_code': 4503874706604095, 'p': 17}
  • id: 202682
    {'charpoly_factorization': [[[410659676068270382683207725598684915797367764994859378973275688468851946399345721, -494168068875413213700178066225000716149822639691869745244247695912065241812, 508369579843271403033698780749450284397266809606608222538093095610943, -155950605671136073299520598149745504976776339860873802150103252, 54121900800330345509994565147385404809406051452651588990, -5763209463675567312603346934803541642437508176788, 2565513287604385497217031199715115888216947, -282748312514088695412804467304013908, 53431946873292271628020505550, -1612999708147566417972, 246265283784783, -4192212, 1], 1]], 'hecke_orbit_code': 4503874706604095, 'p': 19}
  • id: 202683
    {'charpoly_factorization': [[[77969527905040169252477767505464050458961725022661354541468339148359888473007409, 1208563005825501387210190416003156184991280711242322408255995126028772979880, 18280108019053903284978047942999543786660360972173848533927996743059891, 6978400938733911891533665927902128472505327687314759722846444952, 2283400872298713823485525794244578221023298805726053462494, 292043856423608973984141761986817638377997051250280, 41215394088654201954154315591799839058934783, 2104415404147027748383824014379975168, 374126518624591143917027656542, 14480608851603467084016, 1728210046724979, -33871872, 1], 1]], 'hecke_orbit_code': 4503874706604095, 'p': 23}
  • id: 202684
    {'charpoly_factorization': [[[28426338255754827367857751220489371768628961600, -1471378205596420797977844263045076068160, -118016990681981243704782498373776, 4596363205608648103807904, -28698289207444468, -127562612, 1], 2]], 'hecke_orbit_code': 4503874706604095, 'p': 29}
  • id: 202685
    {'charpoly_factorization': [[[183555003222345294203359384386033425402235748633213951215531390102340187652094260102312376970039601, 2441606992101695482384422752244837191767751295202927466608848367582498868642621104290388152, 45492453218984102969397718749840008222128252127229050604185476981619850802488561843, 360282817227791248241620843824672829620991972325967046927670731453789427880, 4939297964458413983703332068230671049187421377842263446773439207518, 35879766587741079478954880863612461764313242786485434531192, 321566870106085366971598331810280202680310283552383, 1498962629796155069969452674804011242332144, 8689738136978917606355514560302302, 27887498893101370508975072, 144690629338301811, 331783920, 1], 1]], 'hecke_orbit_code': 4503874706604095, 'p': 31}
  • id: 202686
    {'charpoly_factorization': [[[1447996522782204569509840694137160458643643917480726184315004474006046721046614517382124633684125625, -68679100083892299350802026022419904719958933887053673420456953853699102340205976956492253250, 4878378136331449029993607914731821958049567630800036667277717822471303209349764060225, 90966392988657791968674407402222256176985981370990742041598068195024043277090, 1482527433747788732800092618502141506485003619790133194779594149964234, 7712564128710241752422906298850590515364785319608859408680838, 33438766744192821450412767657588213860221229488357153, 79596617350453059716044755174495535157476062, 199968201541773385771930122383227194, 323244852497031964166458202, 750371440612342065, 833082774, 1], 1]], 'hecke_orbit_code': 4503874706604095, 'p': 37}
  • id: 202687
    {'charpoly_factorization': [[[-9579862425978718451037616339400752005147352216900800, 94219369403633575573364958970237301781180480, -42307671516333706393316561769209232, -663035017454314115960586272, 46146344331288236, 1552038404, 1], 2]], 'hecke_orbit_code': 4503874706604095, 'p': 41}
  • id: 202688
    {'charpoly_factorization': [[[-2477800627534259904725400144295197309894283644858368, 264933230162056082570932307159434268331706368, 683572568777826493168868974599282432, -1359128371003296124698329344, -1862211619355805840, 861088776, 1], 2]], 'hecke_orbit_code': 4503874706604095, 'p': 43}
  • id: 202689
    {'charpoly_factorization': [[[5909120748966368083587948443369564984821769142265957320739927512998881145749726100552648403025683785244140625, 18963014347638645868188731821857176195471908425432837497269057476778057959150085048058219297998125000, 84447948469383258350521036067294600783057179964122994449018217364359151406133128673607511875, -43489205966122484573393165278558381666033640314654024976167453280790814553116278600, 130920125857730064743077676931883291065062977286641944978547907491111090974, -28646880269083272940426231995156035694513606640920142190895845880, 88566385381702372613029837225642540396490808482414100975, -22903137467831302250432458860945600910079794272, 37118385086779431542724266150699414238, -5070186665028862859435364720, 7928892454657325379, -1327587552, 1], 1]], 'hecke_orbit_code': 4503874706604095, 'p': 47}
  • id: 202690
    {'charpoly_factorization': [[[224516865766018440347990132712820702817291438144263907779815414216349283695940392282351615683298902896383705401, 54977352375818268329384219840196769576418292578663144099243737448711616407332912513644795463548558786, 1743618383022163702857050360331357401403954455242016925091218566026769211938921342758721190657, 1965956424146284809578712352510356168209587849510193168654988548779369649284192996830, 13668687406437988652258788985578376380236045167280932627559995420040762017610, 9329344509186715165728632956118207435300539200605627596803696870906, 6029965133704634914103727416437445212605903804739115484129, 1787354171426188239484097200753109188367375295906, 660130662703510012811366297633088981690, 140040005710791586820667448230, 48126057887102886897, 6725755626, 1], 1]], 'hecke_orbit_code': 4503874706604095, 'p': 53}
  • id: 202691
    {'charpoly_factorization': [[[246736421599324790730103186913580473849416259522225055191073815299259895368964023047218026187403048437483213008705625, -188978433580115502694223805166036165425717683893938452698091736816751963877800117073058108884375576138779500, 116752995574475941364340982185358714756001265018796180124461076773079535447022775066204632197046575, -41357232099129838160809668485339328080689085684490040988079338648762290095276214368115020, 14463841445569980537813998803822549731486257090889651669202814341068041844323934, -4064896269009744807768477603231573012796352017859112193153010257790508, 1101524514746423152975066203434555574946008003978947039958627, -229227325227966455831392192691952325719815857839516, 39443229591003936105752453752092832987950, -4845590145366441868651955387868, 455368825057902641727, -26237179548, 1], 1]], 'hecke_orbit_code': 4503874706604095, 'p': 59}
  • id: 202692
    {'charpoly_factorization': [[[1921295608019604355438851733475736671775555251984652567176478833248883529016260680431542700080913594521077344118569, 1817146953479248281372339094548239483913049097944525511413780865602444608917172319316882212108433282666454, 2109172122128685820861995112314066062083620813925441764082517872171790485052721091012070362393833, 622820157458072079639030266672667883673186261674329036791827559425259940658562327895738, 534758148362523354810142734832336576791033214960880727704592057774183889359114, 94671285976051188120245605749429497389457796786968796819673129651422, 114781853065565515779274143191360370313812838353095271246073, 5863174593937635273750404781168815801247003861990, 5538858946614632113223548603640538680154, 859478419192980369728756282466, 197707405119351664569, 14411013726, 1], 1]], 'hecke_orbit_code': 4503874706604095, 'p': 61}
  • id: 202693
    {'charpoly_factorization': [[[9315676092547380642814001057552465561105136272787591387055652361383423938764727693430141362441785610142821278164355625, 5270739239261602968185509068231557419863761229150522518362007309376446613759789086538323448571102653629122500, 2875968743388407165648732816458157991972771581823391833687422317473570317195582194153519975374842775, 505145689231177652732432076695928737648672986834325577588987925225038148050144567863345700, 151467311595246283808509972332648784802900967571077037646549913007182971958215934, 25424777366497323721178147820849988068061670033297189290995887146312644, 5554918619490931166971521441545237007959999988792427106060731, 626907726386734685843488571630514104394976033866276, 72317068949199036385406960222621101842798, 3541232896246771115828119505508, 270256909275846099015, 4241860068, 1], 1]], 'hecke_orbit_code': 4503874706604095, 'p': 67}
  • id: 202694
    {'charpoly_factorization': [[[107340348076634813461039304692656305767725034616809265823744, -223694041818454361708113069162510974996090418495488, 55378005742023162492396741006599168753664, 4712587022871073561390191811584, -499329197483118439104, -18667667328, 1], 2]], 'hecke_orbit_code': 4503874706604095, 'p': 71}
  • id: 202695
    {'charpoly_factorization': [[[1349653237322968120911737482122619407599740039693474906613094513297505562877682977658603672128845140896643896887859832689, 413973026866161878167940528079041509275199233084749305855976712712958590142912827333645061310099164532195111666, 205330714208073968253386899912665394400612487258206845082484417280093932863184867162911462156824720029, -17033680918375029274690404184863671247763898404629687191793400818992002616033387569653892602, 5033348591850516785896384940658229162637919500866279818383024319697472010197359578, -151192374381866249004443134345432629218190325674165441669045961637508294, 38809680690091769779958742807865630505579867113617351048583813, -1073731620295317496609957766306879398081433864025750, 207735804665541288116792093396667124976826, -2980080787518905162214842835466, 543106504075913775741, -6005568990, 1], 1]], 'hecke_orbit_code': 4503874706604095, 'p': 73}
  • id: 202696
    {'charpoly_factorization': [[[2048215919461734365614664008897036627639712070665165787527966313531466277400149608053304690211615563364234683262178969409, 2792287218721260654972182047126396951146037086573663613566876115072434867557889220670834863200402403610208031728, 3353595033939130149217234073239686513490179198750703405918510671998497136298862428273386762401695491739, 614452426109963192214323409250076253609358899025449909981585643098523511035265224865568269632, 99665877964271553396579079017958073404542205822333844236678269756697447244220851070, 4785823637624038959246741828687457103522918067485786183022741353026313712, 387834924255654984802334569077536271861442556672138506723967511, 8090303013280308509714174062520057229666713806426440, 995942350545126372268190751604899404876958, 11111554059845420253436995416344, 1277093058083722174203, -11712395640, 1], 1]], 'hecke_orbit_code': 4503874706604095, 'p': 79}
  • id: 202697
    {'charpoly_factorization': [[[-240600240207680916720051759106164013720818180608950101651456, 1109400524436477656134668882084697027868899641366528, -721276310386221072460034525015672801601792, 75240403766964848084431342042368, -1495399917106755833040, -50410890600, 1], 2]], 'hecke_orbit_code': 4503874706604095, 'p': 83}
  • id: 202698
    {'charpoly_factorization': [[[95094728428545066349577310444273801081398930609994920525543707262353261720232477503566156429977765123977459835487789260238128241, -12156403612515785419500385206250357495888813121046917478104004625365210172326027248851506636763231617502257956849220210, 1353509880601683897993274676877175881182589841730403306231448339195493495349389147159644934439155396321918493, -35646071450494546461264009697587026156789409395021387934725535868741465958635877124443220409155462, 1161424352229907981357891204889896103890852915890297217138267734648626744583689462933466, -15109562525177332070141364589900560096602502193026042373880681110329538521786, 430335828218294167592541518431801910725135540155383740819517748997, -4435723757751079974029855671366146627910284829853599210, 106521926705431804843893699910575214785596090, -535591950485687267260197946211446, 12470097217825259608061, -48633519778, 1], 1]], 'hecke_orbit_code': 4503874706604095, 'p': 89}
  • id: 202699
    {'charpoly_factorization': [[[-184066785808791363752653123345119409876779148740427166169460304064, -14169567246763349527183144923246781551311148801707720256, -396893153367451010248534707042670931757477264, -4536250962426917888367216599732192, -8311810438198631878164, 200654207964, 1], 2]], 'hecke_orbit_code': 4503874706604095, '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': '63.12.e.b', 'level': 63, 'portrait': 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', 'weight': 12}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 86398000
    {'hecke_orbit_code': 4503874706604095, 'n': 1, 'trace_an': 12}
  • id: 86398001
    {'hecke_orbit_code': 4503874706604095, 'n': 2, 'trace_an': -22}
  • id: 86398002
    {'hecke_orbit_code': 4503874706604095, 'n': 3, 'trace_an': 0}
  • id: 86398003
    {'hecke_orbit_code': 4503874706604095, 'n': 4, 'trace_an': -2556}
  • id: 86398004
    {'hecke_orbit_code': 4503874706604095, 'n': 5, 'trace_an': 8782}
  • id: 86398005
    {'hecke_orbit_code': 4503874706604095, 'n': 6, 'trace_an': 0}
  • id: 86398006
    {'hecke_orbit_code': 4503874706604095, 'n': 7, 'trace_an': -504}
  • id: 86398007
    {'hecke_orbit_code': 4503874706604095, 'n': 8, 'trace_an': -97008}
  • id: 86398008
    {'hecke_orbit_code': 4503874706604095, 'n': 9, 'trace_an': 0}
  • id: 86398009
    {'hecke_orbit_code': 4503874706604095, 'n': 10, 'trace_an': 111546}
  • id: 86398010
    {'hecke_orbit_code': 4503874706604095, 'n': 11, 'trace_an': 1001572}
  • id: 86398011
    {'hecke_orbit_code': 4503874706604095, 'n': 12, 'trace_an': 0}
  • id: 86398012
    {'hecke_orbit_code': 4503874706604095, 'n': 13, 'trace_an': 3864504}
  • id: 86398013
    {'hecke_orbit_code': 4503874706604095, 'n': 14, 'trace_an': 1302994}
  • id: 86398014
    {'hecke_orbit_code': 4503874706604095, 'n': 15, 'trace_an': 0}
  • id: 86398015
    {'hecke_orbit_code': 4503874706604095, 'n': 16, 'trace_an': 39120}
  • id: 86398016
    {'hecke_orbit_code': 4503874706604095, 'n': 17, 'trace_an': 6704802}
  • id: 86398017
    {'hecke_orbit_code': 4503874706604095, 'n': 18, 'trace_an': 0}
  • id: 86398018
    {'hecke_orbit_code': 4503874706604095, 'n': 19, 'trace_an': 4192212}
  • id: 86398019
    {'hecke_orbit_code': 4503874706604095, 'n': 20, 'trace_an': 17646776}
  • id: 86398020
    {'hecke_orbit_code': 4503874706604095, 'n': 21, 'trace_an': 0}
  • id: 86398021
    {'hecke_orbit_code': 4503874706604095, 'n': 22, 'trace_an': -8505684}
  • id: 86398022
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