Embedded newform data - 27.8.a.e.1.1

Formats: - HTML - YAML - JSON - 2025-07-08T11:59:29.347173

• 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': 1728, 'analytic_conductor': 8.434395688071287, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1]], 'atkin_lehner_string': '+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [27, 1, [2], [1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 65, 'field_disc_factorization': [[5, 1], [13, 1]], 'field_poly': [-16, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-126, -9, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398643699739, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '27.8.a.e', 'level': 27, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '27.8.a.b', 'nf_label': '2.2.65.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(5+\\beta )q^{2}+(43+9\\beta )q^{4}+(91+2\\beta )q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '7.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '27.8.a', 'trace_display': [9, 0, 180, 700], 'trace_hash': 88139225056064853, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.928', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.094', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '58.932', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 'traces': [2, 9, 0, 77, 180, 0, 700, 1827, 0, 1395, 10890, 0, -5480, 29475, 0, -15967, 16416, 0, 16024, 12195, 0, 60705, 24372, 0, -138880, -235260, 0, 263875, -143280, 0, -38708, -439965, 0, -614088, 115650, 0, 455620, -275382, 0, 135765, 731880, 0, -1088840, 524565, 0, 1649394, 1561500, 0, 967164, -519660, 0, -2106380, 2610468, 0, 1003500, -650475, 0, -720810, 1731960, 0, -620192, -4286151, 0, -1040839, -914400, 0, 346600, -5559624, 0, 3094425, -4242240, 0, -3145190, -4267710, 0, -2510486, 4864500, 0, 10110616, -1705545, 0, -2141190, 644202, 0, 101520, 2313270, 0, 9374715, 6021000, 0, -20872000, 14795802, 0, -3751290, 747180, 0, 4098670, 22779738, 0, -4399180, -1143900, 0, 5643640, 5313420, 0, 20123721, -8144550, 0, -11430284, 8754075, 0, -17671625, -16651800, 0, 5272920, -6200730, 0, 36388620, -56170800, 0, 20789708, -9572184, 0, -38497943, -26351100, 0, -6909260, -499653, 0, -24671700, -27765270, 0, -25665700, -1336050, 0, 48706056, 34179336, 0, 62594272, 27618525, 0, -87675480, -38262600, 0, -13047300, 43656345, 0, -39320630, 52275420, 0, -42000644, 31664934, 0, 169324875, -11707650, 0, 65868760, 106382232, 0, -41806395, 147105000, 0, -40336160, -20734470, 0, -29535831, -68164236, 0, 41150166, -56657880, 0, 22997110, 152548308, 0, -39131000, -92310615, 0, -12515850, -111214890, 0, -129473168, -239764500, 0, -53182458, 28369800, 0, 61866720, -36884610, 0, -23224770, -3924360, 0, 160283890, -287557785, 0, 203083314, 142645644, 0, -210671852, -132026580, 0, -243526275, -56992500, 0, 54999900, -5772420, 0, 140414980, 73351080, 0, 123652648, 175892553, 0, 295213005, -83569500, 0, -383624650, 226934802, 0, 76779675, 450351360, 0, 246554440, -253417275, 0, -223884630, -49326696, 0, -150511796, 169431750, 0, -127159830, 519733800, 0, 118978920, 324033660, 0, -277479000, -298942740, 0, 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0, 1325209640, 24700890960, 0, -4443665252, 24045974415, 0, -114301989000, -13867368930, 0, -64860399560, -52404056658, 0, -20306152125], 'weight': 8, 'weight_parity': 1}
• mf_hecke_cc •

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

  
  {'an_normalized': [[1.0, 0.0], [-0.6711668966130089, 0.0], [0.0, 0.0], [-0.5495349968908626, 0.0], [0.23546055814883396, 0.0], [0.0, 0.0], [-0.8136757422603504, 0.0], [1.0399965950564887, 0.0], [0.0, 0.0], [-0.15803333208751982, 0.0], [1.1238749367277263, 0.0], [0.0, 0.0], [0.753306393660086, 0.0], [0.5461122227821659, 0.0], [0.0, 0.0], [-0.14847629030129691, 0.0], [1.8093486078111336, 0.0], [0.0, 0.0], [0.7485175247310791, 0.0], [-0.12939381709024025, 0.0], [0.0, 0.0], [-0.7543076534646898, 0.0], [-0.8821389718395116, 0.0], [0.0, 0.0], [-0.9445583255562395, 0.0], [-0.5055943144315775, 0.0], [0.0, 0.0], [0.44714329649321205, 0.0], [-0.5215193649669139, 0.0], [0.0, 0.0], [0.9082745154304784, 0.0], [-0.940344224074355, 0.0], [0.0, 0.0], [-1.2143748899956666, 0.0], [-0.1915885444247889, 0.0], [0.0, 0.0], [1.5871827610724165, 0.0], [-0.5023801841342095, 0.0], [0.0, 0.0], [0.24487817874488768, 0.0], [1.3383686994088806, 0.0], [0.0, 0.0], [-1.616233032344425, 0.0], [-0.6176086098603895, 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-0.08476724568372339, -0.1770700356937926, -0.26598068480814985, -0.2513342350319299, -0.24052260462568736, -0.2311013013637309, -0.3516461475869146, -0.20324152052975408, -0.2244847181260197, -0.19318375204012037, -0.09761378382840892, -0.17601442969874576, -0.22033314649811486, -0.3738699615761397, -0.3599067389042592, -0.26125483564899, -0.21642219393495804, -0.40325636095050715, -0.2712538049936649, -0.21297062236144176, -0.16591465795421464, -0.35771421944029436, -0.18040750567966377, -0.31415349840463713, -0.1979291335042506, -0.18631999193421844, -0.41924525025264703, -0.24366311959168693, -0.35271171639411425, -0.2036226452097769, -0.16876671307529115, -0.44810228805601504, -0.28822599950685784, -0.18007507042161125, -0.25153600626300054, -0.2621048374720695, -0.06799575446486444, -0.4276128681126601, -0.23903153141954314, -0.25544714050092304, -0.27879908619190974, -0.27416813302917237, -0.4079492151004295, -0.19769340041861924, -0.32571575514063333, -0.2394827782235671, 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-0.2564006190867179, -0.21270047440625423, -0.2786772920954878, -0.2299374396511922, -0.10746212416055205, -0.26143217973334076, -0.304168697556529, -0.12935351320156976, -0.1410220206675817, -0.23134893118616304, -0.18564083204477838, -0.23476163010696757, -0.4116118948859505, -0.2733859055821826, -0.2067808224211416, -0.33504109014597494], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': -3.531128874149275, 'hecke_orbit': 5, 'hecke_orbit_code': 18014398643699739, 'label': '27.8.a.e.1.1', 'level': 27, '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

  
  {'ALdims': [5, 4], 'ALdims_eis_new': [0, 0], 'ALdims_eis_old': [3, 3], 'ALdims_old': [5, 4], 'Nk2': 1728, 'analytic_conductor': 8.434395688071287, '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': [27, 1, [2], [1]], 'conrey_index': 1, 'cusp_dim': 18, 'dim': 9, 'eis_dim': 6, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 134217755, 'hecke_orbit_dims': [1, 2, 2, 2, 2], 'label': '27.8.a', 'level': 27, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 24, 'mf_new_dim': 9, 'num_forms': 5, 'plus_dim': 5, 'prim_orbit_index': 1, 'relative_dim': 9, 'sturm_bound': 24, 'trace_bound': 4, 'trace_display': [0, 0, 0, -477], 'traces': [9, 0, 0, 486, 0, 0, -477, 0, 0, 10566, 0, 0, 3465, 0, 0, -14166, 0, 0, -62379, 0, 0, 276930, 0, 0, -116289, 0, 0, -306054, 0, 0, 459468, 0, 0, -1531440, 0, 0, -293553, 0, 0, 3203082, 0, 0, -1441656, 0, 0, -1755612, 0, 0, 4729986, 0, 0, -688860, 0, 0, -178056, 0, 0, 580140, 0, 0, -974637, 0, 0, -4297662, 0, 0, -1320615, 0, 0, -8772174, 0, 0, 6787089, 0, 0, -16525728, 0, 0, 30330405, 0, 0, 26821620, 0, 0, -34065792, 0, 0, 11245590, 0, 0, -33990489, 0, 0, -8233524, 0, 0, 20656197, 0, 0, 35870220, 0, 0, -21549609, 0, 0, 23871186, 0, 0, 15141402, 0, 0, -27050778, 0, 0, 1953360, 0, 0, 18967320, 0, 0, -6968727, 0, 0, -134546814, 0, 0, -53639100, 0, 0, 159201144, 0, 0, 65581371, 0, 0, -80603856, 0, 0, 95847579, 0, 0, -198678960, 0, 0, -162765576, 0, 0, 145007064, 0, 0, 64803249, 0, 0, 211379958, 0, 0, 57450798, 0, 0, -146831670, 0, 0, -115252965, 0, 0, 385808850, 0, 0, 261407376, 0, 0, 89846028, 0, 0, -452527839, 0, 0, -600416820, 0, 0, 29495493, 0, 0, -260524116, 0, 0, 298110240, 0, 0, -139652676, 0, 0, 296937639, 0, 0, 517465980, 0, 0, -134799561, 0, 0, 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0, 0, 14513394321, 0, 0, 9492849792, 0, 0, -12161466360, 0, 0, 7415613180, 0, 0, -14836800303, 0, 0, 2095742160, 0, 0, 16094353923, 0, 0, 1534356072, 0, 0, -6002256141, 0, 0, -10628307252, 0, 0, 22740862968, 0, 0, -2110723200, 0, 0, 21603761496, 0, 0, 11892875760, 0, 0, -25386779475, 0, 0, -20698388388, 0, 0, -34821369513, 0, 0, -5941906380, 0, 0, 19790953560, 0, 0, -1444710348, 0, 0, -973652868, 0, 0, 9930544668, 0, 0, 20537441568, 0, 0, -41311528560, 0, 0, 1347375150, 0, 0, 45349691094, 0, 0, 1893388347, 0, 0, -8725113648, 0, 0, -17372122389, 0, 0, -6287266854, 0, 0, -11589218307, 0, 0, -10803817980, 0, 0, -5333587767, 0, 0, -12518735904, 0, 0, -1893892599, 0, 0, 45070775370, 0, 0, 20514056850, 0, 0, -45869303718, 0, 0, 11418460200, 0, 0, -7037683488, 0, 0, 10889588304, 0, 0, 20285115660, 0, 0, -11425065912, 0, 0, 18553359780, 0, 0, 50630694795, 0, 0, 24516350118, 0, 0, -24740755200, 0, 0, 22422243924, 0, 0, -21337837821, 0, 0, 25662558798, 0, 0, -56149218225, 0, 0, -28990216350, 0, 0, -23056622424, 0, 0, 49119900156, 0, 0, 4938629112, 0, 0, -28173963042, 0, 0, 29403138240, 0, 0, -62652902220, 0, 0, 37801270359, 0, 0, -20754224820, 0, 0, 4025337129, 0, 0, -36872269740, 0, 0, 28317990816, 0, 0, 11387333700, 0, 0, -34780791231, 0, 0, -28523708820, 0, 0, -43728798852, 0, 0, 36605690982, 0, 0, 4453727850, 0, 0, -26796689460, 0, 0, 69474159504, 0, 0, 95269335030, 0, 0, 77830021764, 0, 0, -81362480400, 0, 0, -15452238123, 0, 0, -5873794128, 0, 0, -46993059207, 0, 0, -71766418572, 0, 0, -44129230146, 0, 0, 89914533120, 0, 0, 2894774175, 0, 0, 140259793878, 0, 0, 2479623372, 0, 0, -111086076330, 0, 0, -75533086656, 0, 0, 40435182468, 0, 0, -71407135107, 0, 0, 109929036240, 0, 0, 25387630335, 0, 0, 25004826414, 0, 0, 16538011488, 0, 0, -183631330440, 0, 0, 81635830920, 0, 0, -35580681450, 0, 0, 92286175896, 0, 0, -82328061276, 0, 0, -3366054072, 0, 0, 123063197580, 0, 0, -21856071015, 0, 0, 150624360936, 0, 0, -18802009827, 0, 0, -31286145960, 0, 0, -144349938576, 0, 0, 43372547640, 0, 0, -82787264109, 0, 0, -37161687960, 0, 0, 43670932047, 0, 0, 48859805664, 0, 0, 121436959815, 0, 0, -113521847490, 0, 0, -65669851377, 0, 0, 15561663300, 0, 0, -51626254140, 0, 0, -67752391554, 0, 0, -17832864771, 0, 0, 130382849736, 0, 0, 166765230063, 0, 0, 41065289694, 0, 0, 68971316931, 0, 0, -77455102968, 0, 0, -120593690064, 0, 0, -87644884608, 0, 0, -2116118952, 0, 0, -127472593860, 0, 0, -53534066400, 0, 0, 121743352044, 0, 0, 136332528417, 0, 0, -276264292536, 0, 0, 85991986980, 0, 0, 6218940852, 0, 0, 135563358204, 0, 0, 39409381350, 0, 0, -34299123867, 0, 0, 83603829780, 0, 0, 4069994346, 0, 0, -62758446462, 0, 0, -98243175357, 0, 0, 70844346180, 0, 0, -202647866400, 0, 0, -12433905396, 0, 0, -34423764543, 0, 0, 70012069200, 0, 0, -91248102144, 0, 0, 178541225100, 0, 0, 12391637517, 0, 0, 84980428200, 0, 0, 231969147957, 0, 0, 66357758106, 0, 0, 195495366861, 0, 0, 30954046248, 0, 0, -7148954160, 0, 0, -4454128890, 0, 0, -46948814244, 0, 0, -136832967540, 0, 0, -22787928513, 0, 0, -240184417104, 0, 0, -21838202010, 0, 0, -84058946874], 'weight': 8, 'weight_parity': 1}
• 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: 44137299
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398643699739, 'source_is_minimal': True, 'source_label': '27.8.a.e.1.1', 'source_level': 27, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398643699739, 'target_is_minimal': True, 'target_label': '27.8.a.e.1.1', 'target_level': 27, 'twist_class_label': '27.8.a.b.1.2', 'twist_class_level': 27, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 8}
  • id: 44137300
    {'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398643699739, 'source_is_minimal': True, 'source_label': '27.8.a.e.1.1', 'source_level': 27, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503599761588251, 'target_is_minimal': True, 'target_label': '27.8.a.b.1.2', 'target_level': 27, 'twist_class_label': '27.8.a.b.1.2', 'twist_class_level': 27, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 8}
  • id: 44137301
    {'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398643699739, 'source_is_minimal': True, 'source_label': '27.8.a.e.1.1', 'source_level': 27, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594172146096, 'target_is_minimal': False, 'target_label': '432.8.a.q.1.1', 'target_level': 432, 'twist_class_label': '27.8.a.b.1.2', 'twist_class_level': 27, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 8}
  • id: 44137302
    {'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398643699739, 'source_is_minimal': True, 'source_label': '27.8.a.e.1.1', 'source_level': 27, 'target_conrey_index': 28, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525334964764753, 'target_is_minimal': False, 'target_label': '81.8.c.h.28.1', 'target_level': 81, 'twist_class_label': '27.8.a.b.1.2', 'twist_class_level': 27, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 8}
  • id: 44137303
    {'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398643699739, 'source_is_minimal': True, 'source_label': '27.8.a.e.1.1', 'source_level': 27, 'target_conrey_index': 55, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510936455282769, 'target_is_minimal': False, 'target_label': '81.8.c.d.55.2', 'target_level': 81, 'twist_class_label': '27.8.a.b.1.2', 'twist_class_level': 27, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 8}
  • id: 44137304
    {'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398643699739, 'source_is_minimal': True, 'source_label': '27.8.a.e.1.1', 'source_level': 27, 'target_conrey_index': 55, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525334964764753, 'target_is_minimal': False, 'target_label': '81.8.c.h.55.1', 'target_level': 81, 'twist_class_label': '27.8.a.b.1.2', 'twist_class_level': 27, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 8}
  • id: 44137305
    {'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398643699739, 'source_is_minimal': True, 'source_label': '27.8.a.e.1.1', 'source_level': 27, 'target_conrey_index': 28, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510936455282769, 'target_is_minimal': False, 'target_label': '81.8.c.d.28.2', 'target_level': 81, 'twist_class_label': '27.8.a.b.1.2', 'twist_class_level': 27, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 8}
  • id: 44137306
    {'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398643699739, 'source_is_minimal': True, 'source_label': '27.8.a.e.1.1', 'source_level': 27, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532396780552624, 'target_is_minimal': False, 'target_label': '432.8.a.j.1.2', 'target_level': 432, 'twist_class_label': '27.8.a.b.1.2', 'twist_class_level': 27, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 8}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 103450
    {'charpoly_factorization': [[[-126, -9, 1], 1]], 'hecke_orbit_code': 18014398643699739, 'p': 2}
  • id: 103451
    {'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18014398643699739, 'p': 3}
  • id: 103452
    {'charpoly_factorization': [[[7515, -180, 1], 1]], 'hecke_orbit_code': 18014398643699739, 'p': 5}
  • id: 103453
    {'charpoly_factorization': [[[-1062125, -700, 1], 1]], 'hecke_orbit_code': 18014398643699739, 'p': 7}
  • id: 103454
    {'charpoly_factorization': [[[29414025, -10890, 1], 1]], 'hecke_orbit_code': 18014398643699739, 'p': 11}
  • id: 103455
    {'charpoly_factorization': [[[-68308400, 5480, 1], 1]], 'hecke_orbit_code': 18014398643699739, 'p': 13}
  • id: 103456
    {'charpoly_factorization': [[[-741669696, -16416, 1], 1]], 'hecke_orbit_code': 18014398643699739, 'p': 17}
  • id: 103457
    {'charpoly_factorization': [[[-142216916, -16024, 1], 1]], 'hecke_orbit_code': 18014398643699739, 'p': 19}
  • id: 103458
    {'charpoly_factorization': [[[-3904044444, -24372, 1], 1]], 'hecke_orbit_code': 18014398643699739, 'p': 23}
  • id: 103459
    {'charpoly_factorization': [[[5122403100, 143280, 1], 1]], 'hecke_orbit_code': 18014398643699739, 'p': 29}
  • id: 103460
    {'charpoly_factorization': [[[-28528424669, 38708, 1], 1]], 'hecke_orbit_code': 18014398643699739, 'p': 31}
  • id: 103461
    {'charpoly_factorization': [[[-16337003900, -455620, 1], 1]], 'hecke_orbit_code': 18014398643699739, 'p': 37}
  • id: 103462
    {'charpoly_factorization': [[[83424185100, -731880, 1], 1]], 'hecke_orbit_code': 18014398643699739, 'p': 41}
  • id: 103463
    {'charpoly_factorization': [[[207456229900, 1088840, 1], 1]], 'hecke_orbit_code': 18014398643699739, 'p': 43}
  • id: 103464
    {'charpoly_factorization': [[[410995953540, -1561500, 1], 1]], 'hecke_orbit_code': 18014398643699739, 'p': 47}
  • id: 103465
    {'charpoly_factorization': [[[1583691044571, -2610468, 1], 1]], 'hecke_orbit_code': 18014398643699739, 'p': 53}
  • id: 103466
    {'charpoly_factorization': [[[-647792463600, -1731960, 1], 1]], 'hecke_orbit_code': 18014398643699739, 'p': 59}
  • id: 103467
    {'charpoly_factorization': [[[17550467776, 620192, 1], 1]], 'hecke_orbit_code': 18014398643699739, 'p': 61}
  • id: 103468
    {'charpoly_factorization': [[[15698927500, -346600, 1], 1]], 'hecke_orbit_code': 18014398643699739, 'p': 67}
  • id: 103469
    {'charpoly_factorization': [[[-3541802241600, 4242240, 1], 1]], 'hecke_orbit_code': 18014398643699739, 'p': 71}
  • id: 103470
    {'charpoly_factorization': [[[-3239699519975, 3145190, 1], 1]], 'hecke_orbit_code': 18014398643699739, 'p': 73}
  • id: 103471
    {'charpoly_factorization': [[[19219527915904, -10110616, 1], 1]], 'hecke_orbit_code': 18014398643699739, 'p': 79}
  • id: 103472
    {'charpoly_factorization': [[[-1694562670359, -644202, 1], 1]], 'hecke_orbit_code': 18014398643699739, 'p': 83}
  • id: 103473
    {'charpoly_factorization': [[[6381093451500, -6021000, 1], 1]], 'hecke_orbit_code': 18014398643699739, 'p': 89}
  • id: 103474
    {'charpoly_factorization': [[[-155863647601775, -4098670, 1], 1]], 'hecke_orbit_code': 18014398643699739, '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': 5, 'label': '27.8.a.e', 'level': 27, 'portrait': 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', 'weight': 8}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 40206697
    {'hecke_orbit_code': 18014398643699739, 'n': 1, 'trace_an': 2}
  • id: 40206698
    {'hecke_orbit_code': 18014398643699739, 'n': 2, 'trace_an': 9}
  • id: 40206699
    {'hecke_orbit_code': 18014398643699739, 'n': 3, 'trace_an': 0}
  • id: 40206700
    {'hecke_orbit_code': 18014398643699739, 'n': 4, 'trace_an': 77}
  • id: 40206701
    {'hecke_orbit_code': 18014398643699739, 'n': 5, 'trace_an': 180}
  • id: 40206702
    {'hecke_orbit_code': 18014398643699739, 'n': 6, 'trace_an': 0}
  • id: 40206703
    {'hecke_orbit_code': 18014398643699739, 'n': 7, 'trace_an': 700}
  • id: 40206704
    {'hecke_orbit_code': 18014398643699739, 'n': 8, 'trace_an': 1827}
  • id: 40206705
    {'hecke_orbit_code': 18014398643699739, 'n': 9, 'trace_an': 0}
  • id: 40206706
    {'hecke_orbit_code': 18014398643699739, 'n': 10, 'trace_an': 1395}
  • id: 40206707
    {'hecke_orbit_code': 18014398643699739, 'n': 11, 'trace_an': 10890}
  • id: 40206708
    {'hecke_orbit_code': 18014398643699739, 'n': 12, 'trace_an': 0}
  • id: 40206709
    {'hecke_orbit_code': 18014398643699739, 'n': 13, 'trace_an': -5480}
  • id: 40206710
    {'hecke_orbit_code': 18014398643699739, 'n': 14, 'trace_an': 29475}
  • id: 40206711
    {'hecke_orbit_code': 18014398643699739, 'n': 15, 'trace_an': 0}
  • id: 40206712
    {'hecke_orbit_code': 18014398643699739, 'n': 16, 'trace_an': -15967}
  • id: 40206713
    {'hecke_orbit_code': 18014398643699739, 'n': 17, 'trace_an': 16416}
  • id: 40206714
    {'hecke_orbit_code': 18014398643699739, 'n': 18, 'trace_an': 0}
  • id: 40206715
    {'hecke_orbit_code': 18014398643699739, 'n': 19, 'trace_an': 16024}
  • id: 40206716
    {'hecke_orbit_code': 18014398643699739, 'n': 20, 'trace_an': 12195}
  • id: 40206717
    {'hecke_orbit_code': 18014398643699739, 'n': 21, 'trace_an': 0}
  • id: 40206718
    {'hecke_orbit_code': 18014398643699739, 'n': 22, 'trace_an': 60705}
  • id: 40206719
    {'hecke_orbit_code': 18014398643699739, 'n': 23, 'trace_an': 24372}
  • id: 40206720
    {'hecke_orbit_code': 18014398643699739, 'n': 24, 'trace_an': 0}
  • id: 40206721
    {'hecke_orbit_code': 18014398643699739, 'n': 25, 'trace_an': -138880}
  • id: 40206722
    {'hecke_orbit_code': 18014398643699739, 'n': 26, 'trace_an': -235260}
  • id: 40206723
    {'hecke_orbit_code': 18014398643699739, 'n': 27, 'trace_an': 0}
  • id: 40206724
    {'hecke_orbit_code': 18014398643699739, 'n': 28, 'trace_an': 263875}
  • id: 40206725
    {'hecke_orbit_code': 18014398643699739, 'n': 29, 'trace_an': -143280}
  • id: 40206726
    {'hecke_orbit_code': 18014398643699739, 'n': 30, 'trace_an': 0}
  • id: 40206727
    {'hecke_orbit_code': 18014398643699739, 'n': 31, 'trace_an': -38708}
  • id: 40206728
    {'hecke_orbit_code': 18014398643699739, 'n': 32, 'trace_an': -439965}
  • id: 40206729
    {'hecke_orbit_code': 18014398643699739, 'n': 33, 'trace_an': 0}
  • id: 40206730
    {'hecke_orbit_code': 18014398643699739, 'n': 34, 'trace_an': -614088}
  • id: 40206731
    {'hecke_orbit_code': 18014398643699739, 'n': 35, 'trace_an': 115650}
  • id: 40206732
    {'hecke_orbit_code': 18014398643699739, 'n': 36, 'trace_an': 0}
  • id: 40206733
    {'hecke_orbit_code': 18014398643699739, 'n': 37, 'trace_an': 455620}
  • id: 40206734
    {'hecke_orbit_code': 18014398643699739, 'n': 38, 'trace_an': -275382}
  • id: 40206735
    {'hecke_orbit_code': 18014398643699739, 'n': 39, 'trace_an': 0}
  • id: 40206736
    {'hecke_orbit_code': 18014398643699739, 'n': 40, 'trace_an': 135765}
  • id: 40206737
    {'hecke_orbit_code': 18014398643699739, 'n': 41, 'trace_an': 731880}
  • id: 40206738
    {'hecke_orbit_code': 18014398643699739, 'n': 42, 'trace_an': 0}
  • id: 40206739
    {'hecke_orbit_code': 18014398643699739, 'n': 43, 'trace_an': -1088840}
  • id: 40206740
    {'hecke_orbit_code': 18014398643699739, 'n': 44, 'trace_an': 524565}
  • id: 40206741
    {'hecke_orbit_code': 18014398643699739, 'n': 45, 'trace_an': 0}
  • id: 40206742
    {'hecke_orbit_code': 18014398643699739, 'n': 46, 'trace_an': 1649394}
  • id: 40206743
    {'hecke_orbit_code': 18014398643699739, 'n': 47, 'trace_an': 1561500}
  • id: 40206744
    {'hecke_orbit_code': 18014398643699739, 'n': 48, 'trace_an': 0}
  • id: 40206745
    {'hecke_orbit_code': 18014398643699739, 'n': 49, 'trace_an': 967164}
  • id: 40206746
    {'hecke_orbit_code': 18014398643699739, 'n': 50, 'trace_an': -519660}
  • id: 40206747
    {'hecke_orbit_code': 18014398643699739, 'n': 51, 'trace_an': 0}
  • id: 40206748
    {'hecke_orbit_code': 18014398643699739, 'n': 52, 'trace_an': -2106380}
  • id: 40206749
    {'hecke_orbit_code': 18014398643699739, 'n': 53, 'trace_an': 2610468}
  • id: 40206750
    {'hecke_orbit_code': 18014398643699739, 'n': 54, 'trace_an': 0}
  • id: 40206751
    {'hecke_orbit_code': 18014398643699739, 'n': 55, 'trace_an': 1003500}
  • id: 40206752
    {'hecke_orbit_code': 18014398643699739, 'n': 56, 'trace_an': -650475}
  • id: 40206753
    {'hecke_orbit_code': 18014398643699739, 'n': 57, 'trace_an': 0}
  • id: 40206754
    {'hecke_orbit_code': 18014398643699739, 'n': 58, 'trace_an': -720810}
  • id: 40206755
    {'hecke_orbit_code': 18014398643699739, 'n': 59, 'trace_an': 1731960}
  • id: 40206756
    {'hecke_orbit_code': 18014398643699739, 'n': 60, 'trace_an': 0}
  • id: 40206757
    {'hecke_orbit_code': 18014398643699739, 'n': 61, 'trace_an': -620192}
  • id: 40206758
    {'hecke_orbit_code': 18014398643699739, 'n': 62, 'trace_an': -4286151}
  • id: 40206759
    {'hecke_orbit_code': 18014398643699739, 'n': 63, 'trace_an': 0}
  • id: 40206760
    {'hecke_orbit_code': 18014398643699739, 'n': 64, 'trace_an': -1040839}
  • id: 40206761
    {'hecke_orbit_code': 18014398643699739, 'n': 65, 'trace_an': -914400}
  • id: 40206762
    {'hecke_orbit_code': 18014398643699739, 'n': 66, 'trace_an': 0}
  • id: 40206763
    {'hecke_orbit_code': 18014398643699739, 'n': 67, 'trace_an': 346600}
  • id: 40206764
    {'hecke_orbit_code': 18014398643699739, 'n': 68, 'trace_an': -5559624}
  • id: 40206765
    {'hecke_orbit_code': 18014398643699739, 'n': 69, 'trace_an': 0}
  • id: 40206766
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    {'hecke_orbit_code': 18014398643699739, 'n': 967, 'trace_an': 58980223540}
  • id: 40206950
    {'hecke_orbit_code': 18014398643699739, 'n': 971, 'trace_an': -8215958790}
  • id: 40206951
    {'hecke_orbit_code': 18014398643699739, 'n': 977, 'trace_an': -14395577400}
  • id: 40206952
    {'hecke_orbit_code': 18014398643699739, 'n': 983, 'trace_an': 24269911452}
  • id: 40206953
    {'hecke_orbit_code': 18014398643699739, 'n': 991, 'trace_an': -4443665252}
  • id: 40206954
    {'hecke_orbit_code': 18014398643699739, 'n': 997, 'trace_an': -64860399560}