Embedded newform data - 686.2.a.b.1.1

Formats: - HTML - YAML - JSON - 2026-01-20T11:54:52.977412

• 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': 2744, 'analytic_conductor': 5.477737578659834, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [7, -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': [686, 1, [3], [1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 49, 'field_disc_factorization': [[7, 2]], 'field_poly': [1, -2, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 14, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [1, -2, -1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660925614, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], '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': '686.2.a.b', 'level': 686, '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': False, 'level_primes': [2, 7], 'level_radical': 14, 'minimal_twist': '686.2.a.a', 'nf_label': '3.3.49.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-\\beta _{2}q^{3}+q^{4}+(-1+2\\beta _{1}-\\beta _{2})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '686.2.a', 'trace_display': [-3, 1, 0, 0], 'trace_hash': 816973015921775509, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.958', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.064', 'prec': 17}, {'__RealLiteral__': 0, 'data': '23.157', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.094', 'prec': 17}, {'__RealLiteral__': 0, 'data': '261.527', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, 'traces': [3, -3, 1, 3, 0, -1, 0, -3, -4, 0, 0, 1, 9, 0, 0, 3, 4, 4, 13, 0, 0, 0, 7, -1, -1, -9, -2, 0, 3, 0, 16, -3, 7, -4, 0, -4, 6, -13, -11, 0, 11, 0, -11, 0, 7, -7, -8, 1, 0, 1, 6, 9, -3, 2, 21, 0, 9, -3, -4, 0, 31, -16, 0, 3, -14, -7, 23, 4, 14, 0, 7, 4, 27, -6, 2, 13, 0, 11, -32, 0, -5, -11, -11, 0, -28, 11, -6, 0, 10, -7, 0, 7, 17, 8, 14, -1, 5, 0, 14, -1, 7, -6, -5, -9, 0, 3, 8, -2, 6, -21, -12, 0, -10, -9, -21, 3, -26, 4, 0, 0, 9, -31, -1, 16, -21, 0, 1, -3, -6, 14, -16, 7, 0, -23, 7, -4, -30, -14, 0, 0, -12, -7, -42, -4, 7, -27, 0, 6, 2, -2, 10, -13, -17, 0, -7, -11, -5, 32, -36, 0, 0, 5, 8, 11, 21, 11, -50, 0, 44, 28, -8, -11, -15, 6, 0, 0, -20, -10, -15, 7, 11, 0, 8, -7, 0, -17, -35, -8, 0, -14, -33, 1, -35, -5, -28, 0, 16, -14, -3, 1, 17, -7, 0, 6, 14, 5, -14, 9, 28, 0, -19, -3, -28, -8, -21, 2, 0, -6, 16, 21, 26, 12, -11, 0, -8, 10, -51, 9, 2, 21, 0, -3, 17, 26, -14, -4, -20, 0, -12, 0, 33, -9, -5, 31, 0, 1, 11, -16, 29, 21, 9, 0, -14, -1, -7, 3, 5, 6, 0, -14, -4, 16, 7, -7, 21, 0, 1, 23, 6, -7, 36, 4, 0, 30, -28, 14, -23, 0, -19, 0, 17, 12, 60, 7, 14, 42, 0, 4, 15, -7, -3, 27, 30, 0, 42, -6, -14, -2, 7, 2, 0, -10, 14, 13, 21, 17, -15, 0, -53, 7, 61, 11, 33, 5, 0, -32, -10, 36, 0, 0, 54, 0, -6, -5, 11, -8, 9, -11, 0, -21, 3, -11, -15, 50, -14, 0, 0, -44, -1, -28, 7, 8, 0, 11, 7, 15, 5, -6, -7, 0, 36, 0, 47, 20, -21, 10, 0, 15, -30, -7, 18, -11, 38, 0, 35, -8, -81, 7, -10, 0, 0, 17, -28, 35, -7, 8, 23, 0, -6, 14, -23, 33, 17, -1, 0, 35, 3, 5, 26, 28, 63, 0, -24, -16, -14, 14, -31, 3, 0, -1, 16, -17, 20, 7, -42, 0, -21, -6, 42, -14, -3, -5, 0, 14, -28, -9, 35, -28, -10, 0, 5, 19, -1, 3, 43, 28, 0, 8, -35, 21, -19, -2, -4, 0, -7, 6, 21, -16, 3, -21, 0, -26, 69, -12, -49, 11, -53, 0, -23, 8, 14, -10, -13, 51, 0, -9, -23, -2, -33, -21, -20, 0, -23, 3, 14, -17, -32, -26, 0, 14, 38, 4, -35, 20, -23, 0, -3, 12, -17, 0, 60, -33, 0, 9, 0, 5, 29, -31, -16, 0, -29, -1, -17, -11, -35, 16, 0, -29, 37, -21, 2, -9, 35, 0, 35, 14, -32, 1, 31, 7, 0, -3, -18, -5, 0, -6, -35, 0, -5, 14, 18, 4, 13, -16, 0, -7, 47, 7, 8, -21, 17, 0, 33, -1, -28, -23, -40, -6, 0, 7, -5, -36, -36, -4, 77, 0, -11, -30, -32, 28, 13, -14, 0, 23, -21, 0, 11, 19, -5, 0, -21, -17, 13, -12, -91, -60, 0, -7, 11, -14, -9, -42, -11, 0, 35, -4, -50, -15, -42, 7, 0, 3, -21, -27, 35, -30, -63, 0, 74, -42, 17, 6, 45, 14, 0, 2, 6, -7, -72, -2, -13, 0, -33, 10, -21, -14, -16, -13, 0, -21, 18, -17, 55, 15, 0, 0, -52, 53, 22, -7, -56, -61, 0, -11, -37, -33, 63, -5, -6, 0, -55, 32, 45, 10, 28, -36, 0, 0, -35, 0, 51, -54, -14, 0, -14, 6, -8, 5, 35, -11, 0, 8, 5, -9, -56, 11, -15, 0, 5, 21, -36, -3, 46, 11, 0, 15, -21, -50, 15, 14, 28, 0, 71, 0, -18, 44, -36, 1, 0, 28, -38, -7, 27, -8, -35, 0, -18, -11, 75, -7, -5, -15, 0, -5, -63, 6, -18, 7, 1, 0, 33, -36, 12, 0, -21, -47, 0, -20, -33, 21, 31, -10, 77, 0, 49, -15, -32, 30, -34, 7, 0, -18, 18, 11, -15, -38, 6, 0, 32, -35, 25, 8, 20, 81, 0, -7, -7, 10, 15, 0, -71, 0, 44, -17, -49, 28, 17, -35, 0, 7, 55, -8, 17, -23, 35, 0, -29, 6, 14, -14, 93, 23, 0, -33, 70, -17, 2, 1, 49, 0, 53, -35, -12, -3, 11, -5, 0, -26, 57, -28, -77, -63, 26, 0, -63, 24, 11, 16, 42, 14, 0, -14, 79, 31, -42, -3, -8, 0, 8, 1, -39, -16, 63, 17, 0, -20, -47, -7, -87, 42, 48, 0, -16, 21, 98, 6, -71, -42, 0, 14, -38, 3, 76, 5, -28, 0, 25, -14, -35, 28, 32, 9, 0, -35, 28, 28, -55, 10, 22, 0, -70, -5, 57, -19, -28, 1, 0, -3, 62, -43, -21, -28, -1, 0, 7, -8, 86, 35, 98, -21, 0, 19, -2, 2, -14, 4, -2, 0, -35, 7, 55, -6, -9, -21, 0, 16, 74, -3, 17, 21, 20, 0, -80, 26, -7, -69, -10, 12, 0, 49, -77, -11, -58, 53, -35, 0, 28, 23, -5, -8, -81, -14, 0, 10, -35, 13, -15, -51, 14, 0, -31, 9, 7, 23, 7, 2, 0, 33, -21, 21, -40, 20, 133, 0, -9, 23, -19, -3, 39, -14, 0, 17, -24, 32, 98, 26, 6, 0, 60, -14, -37, -38, -7, -4, 0, 35, -40, -20, 25, 23, 13, 0, 6, 3, 42, -12, 0, 17, 0, 0, 25, -60, 1, 33, 7, 0, 12, -9, 12, 0, 3, -5, 0, -29, 48, 31, 52, 16, -77, 0, 34, 29, -3, 1, 7, 17, 0, 11, 0, 35, 64, -16, 29, 0, 35, 29, -39, -37, 45, 21], 'weight': 2, '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], [-0.7071067811865476, 0.0], [-0.7199440098802524, 0.0], [0.5, 0.0], [0.606822279799111, 0.0], [0.5090772914609613, 0.0], [0.0, 0.0], [-0.3535533905932738, 0.0], [-0.4816806226375429, 0.0], [-0.4290881490210318, 0.0], [-0.10104417138544494, 0.0], [-0.3599720049401262, 0.0], [1.7706149366683588, 0.0], [0.0, 0.0], [-0.4368780654032484, 0.0], [0.25, 0.0], [-0.7180925274157507, 0.0], [0.34059963463316506, 0.0], [0.9428794558922061, 0.0], [0.3034111398995555, 0.0], [0.0, 0.0], [0.07144901878602382, 0.0], [-0.7616599526850801, 0.0], [0.25453864573048063, 0.0], [-0.6317667207394095, 0.0], [-1.252013828588386, 0.0], [1.0667270888235418, 0.0], [0.0, 0.0], [0.7518650746135236, 0.0], [0.308919442598297, 0.0], [0.1264606421673961, 0.0], [-0.1767766952966369, 0.0], [0.0727461459222647, 0.0], [0.5077680956550641, 0.0], [0.0, 0.0], [-0.24084031131877146, 0.0], [1.108203514040834, 0.0], [-0.6667164571028612, 0.0], [-1.2747436174588875, 0.0], [-0.2145440745105159, 0.0], [1.0313520754451757, 0.0], [0.0, 0.0], [-0.7490507126793716, 0.0], [-0.05052208569272247, 0.0], [-0.29229453356396906, 0.0], [0.5385749175018452, 0.0], [-0.125872248640822, 0.0], [-0.1799860024700631, 0.0], [0.0, 0.0], [0.44672653236282434, 0.0], [0.5169864136527407, 0.0], [0.8853074683341794, 0.0], [1.7702604803665933, 0.0], [-0.7542899581825111, 0.0], [-0.06131585444052779, 0.0], [0.0, 0.0], [-0.6788204163087456, 0.0], [-0.531648892796552, 0.0], [1.1793300525589052, 0.0], [-0.2184390327016242, 0.0], [1.6848159981735158, 0.0], [-0.08942117762977125, 0.0], [0.0, 0.0], [0.125, 0.0], [1.0744485925154519, 0.0], [-0.05143929308681948, 0.0], [0.38472928564476155, 0.0], [-0.35904626370787535, 0.0], [0.5483525205013, 0.0], [0.0, 0.0], [1.2544310161651326, 0.0], [0.17029981731658253, 0.0], [1.1729594886526904, 0.0], [-0.7836182197130349, 0.0], [0.45483666623802815, 0.0], [0.47143972794610306, 0.0], [0.0, 0.0], [0.9013798561794496, 0.0], [-0.997158280335418, 0.0], [0.15170556994977774, 0.0], [-0.286303155137966, 0.0], [-0.7292760463381035, 0.0], [-1.9145794555526519, 0.0], [0.0, 0.0], [-0.4357545445931314, 0.0], [0.5296588383881999, 0.0], [-0.5413007567061754, 0.0], [0.03572450939301191, 0.0], [-0.06631831535448587, 0.0], [0.20668344678684142, 0.0], [0.0, 0.0], [-0.38082997634254007, 0.0], [-0.0910445818140269, 0.0], [0.08900512057712441, 0.0], [0.5721602610002537, 0.0], [0.12726932286524031, 0.0], [0.3296808288901608, 0.0], [0.0, 0.0], [0.04867101938683572, 0.0], [-0.31588336036970477, 0.0], [0.176598271197202, 0.0], [-0.36556459887516646, 0.0], [1.5486199197310395, 0.0], [-0.626006914294193, 0.0], [0.0, 0.0], [-1.2517631901337734, 0.0], [-1.6850765507802177, 0.0], [0.5333635444117709, 0.0], [0.6793342572632048, 0.0], [0.04335685646914448, 0.0], [-0.7978444816619445, 0.0], [0.0, 0.0], [-1.2176044591648338, 0.0], [0.47999851957978923, 0.0], [-0.4621922289200433, 0.0], [0.3759325373067618, 0.0], [-0.8528709051457487, 0.0], [-0.8339122774214893, 0.0], [0.0, 0.0], [0.1544597212991485, 0.0], [-0.9897900754290289, 0.0], [-1.191344817360075, 0.0], [-0.7425157487943205, 0.0], [0.06323032108369805, 0.0], [-0.9901924015794077, 0.0], [0.0, 0.0], [0.9715391123119288, 0.0], [-0.08838834764831845, 0.0], [0.5392745736900477, 0.0], [-0.7597498858040176, 0.0], [-0.3878953370254147, 0.0], [0.03637307296113235, 0.0], [0.0, 0.0], [-0.2720446868004671, 0.0], [0.6473137639633704, 0.0], [0.25388404782753204, 0.0], [-1.3466991204849783, 0.0], [-0.3877437857272045, 0.0], [-1.5232097782209981, 0.0], [0.0, 0.0], [0.09062097141911754, 0.0], [-0.887016678061097, 0.0], [-0.1789103191183464, 0.0], [-0.12042015565938573, 0.0], [0.45624847867830703, 0.0], [-0.8294076084834227, 0.0], [0.0, 0.0], [0.554101757020417, 0.0], [1.154390341446141, 0.0], [-0.32161809102919214, 0.0], [0.9974335191481688, 0.0], [-0.3333582285514306, 0.0], [0.3458912557169857, 0.0], [0.0, 0.0], [0.07673913518487889, 0.0], [-0.6373718087294438, 0.0], [-1.6923718129860295, 0.0], [0.7050973819414904, 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[0.3854276019354108, 0.0], [-0.09107918067118402, 0.0], [0.6832156306650982, 0.0], [-0.22727033057662255, 0.0], [0.0, 0.0], [0.011267560559961741, 0.0], [1.411302334381087, 0.0], [-0.18857248954562777, 0.0], [-0.2932807535705634, 0.0], [0.08326861638461738, 0.0], [0.3486999294607511, 0.0], [0.0, 0.0], [0.10075703217662753, 0.0], [0.23226573975873668, 0.0], [0.6812074197363623, 0.0], [-0.24018093000156937, 0.0], [-0.1588008669314739, 0.0], [0.5078112251713295, 0.0], [0.0, 0.0], [-0.42223257884385423, 0.0], [0.8172920656034292, 0.0], [-0.09085132416307372, 0.0], [-0.86306428228475, 0.0], [-0.015328963610131948, 0.0], [1.259339170378194, 0.0], [0.0, 0.0], [0.018514772699267067, 0.0], [-0.6357326774761306, 0.0], [-0.5152234318338458, 0.0], [-1.228007445051193, 0.0], [0.8512405459400002, 0.0], [0.2820806216577135, 0.0], [0.0, 0.0], [0.02845640318164942, 0.0], [0.02892926507595427, 0.0], [-0.42528471174494914, 0.0], [-0.11868235731038672, 0.0], [0.5876739083120956, 0.0], [0.15693672171615347, 0.0], [0.0, 0.0], [0.9709211633593442, 0.0], [0.11627161348112965, 0.0], [0.0950813401588634, 0.0], [0.15215489370371874, 0.0], [-1.271210822530668, 0.0], [0.07368909381348702, 0.0], [0.0, 0.0], [0.4304881849392163, 0.0], [0.6182546598969791, 0.0], [0.5077707543403246, 0.0], [1.7914201835963897, 0.0], [-0.21558901690594132, 0.0], [-0.08506396522698192, 0.0], [0.0, 0.0], [0.43876873669699157, 0.0], [-0.1697051040771864, 0.0], [0.19345709463791402, 0.0], [0.764684636694246, 0.0], [-0.7360591538424885, 0.0], [0.3205535261888152, 0.0], [0.0, 0.0], [0.5416499824756003, 0.0], [-0.7995690795529543, 0.0], [0.16340962964054387, 0.0], [-0.4209436640630888, 0.0], [-0.3192879979832553, 0.0], [2.221114294242051, 0.0], [0.0, 0.0], [-0.7001260999774678, 0.0], [0.1921293308715898, 0.0], [-0.7459402071649489, 0.0], [-0.132912223199138, 0.0], [-0.4077987466909934, 0.0], [0.0390661510889747, 0.0], [0.0, 0.0], [0.05959630182017152, 0.0], [-1.415290335037288, 0.0], [0.843650484601243, 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[0.020185143618430865, 0.0], [0.8053405949854937, 0.0], [0.42120399954337895, 0.0], [0.17918839642173595, 0.0], [0.7371185200976407, 0.0], [0.006701079222672656, 0.0], [0.0, 0.0], [-0.3272221480175533, 0.0], [0.2295278160832334, 0.0], [-0.259498048026941, 0.0], [0.2625189605551355, 0.0], [0.08910584024881295, 0.0], [0.38177309712606156, 0.0], [0.0, 0.0], [0.8347382240402376, 0.0], [0.5705219303780957, 0.0], [-0.020884157619664095, 0.0], [-0.513458010793194, 0.0], [-0.022355294407442813, 0.0], [0.6041157225093426, 0.0], [0.0, 0.0], [0.0009364803697324213, 0.0], [0.6891950052324634, 0.0], [-1.0027271227983183, 0.0], [-0.6728680772493801, 0.0], [1.1821507083567977, 0.0], [0.3500858809180961, 0.0]], 'angles': [None, -0.3086068798945556, -0.2009372228108986, None, -0.25804426429028043, -0.07697393824754514, -0.30844898712970015, -0.171867241554098, -0.3121808410485887, -0.18866121926735244, -0.23992986403873273, -0.15653092138601962, -0.16377040833336193, -0.3110971666778046, -0.2600232196473476, -0.07703457510757372, -0.14962988596447876, -0.09056867002557403, -0.21919218245042105, -0.14209726320710736, -0.1502566775216665, -0.33307233641060907, -0.45331694345533996, -0.25527841144967156, -0.22364454458976865, -0.23592843015322404, -0.10904857505729929, -0.4094698164084256, -0.19484279152324865, -0.3541748518482102, -0.16926971127008383, -0.2810645996571527, -0.3675725412734765, -0.3877941288051396, -0.1520735924069659, -0.16690239513935456, -0.4105533873332536, -0.12115652461083681, -0.39352207183209337, -0.28884477134099906, -0.2293618387488495, -0.16493001212839675, -0.2903293527525461, -0.2541028400668419, -0.23830431294537016, -0.24987719180746687, -0.4528754107711846, -0.31991301685082546, -0.28458357199031387, -0.19806554695068365, -0.24050933027914148, -0.20730297926749464, -0.223024488994176, -0.24511270312676875, -0.33153681164320303, -0.3469741235568714, -0.194902378294546, -0.1453329359948533, -0.3915139612262126, -0.31375470810179906, -0.22253556557974563, -0.1477035850745861, -0.20278226827188908, -0.02946036257588918, -0.3036326731597184, -0.2807129722531988, -0.31890735997509084, -0.25007106334371176, -0.1622634237408884, -0.19896002254465692, -0.06832108983596354, -0.20463458197346998, -0.4159756811117422, -0.32984479526574656, -0.21348390633289135, -0.3934810895607646, -0.2550928903787639, -0.30059481250961245, -0.297709533058596, -0.17480989626112142, -0.26995946470582893, -0.31544751786957237, -0.2512680594930188, -0.25937643482841566, -0.23976858809273968, -0.08259603563993217, -0.2630999404748843, -0.34092287828523676, -0.2137549924313602, -0.271689217746799, -0.351731324999727, -0.17085955327153624, -0.2522717039043328, -0.27594572483930346, -0.17108118895561059, -0.15263295097745647, -0.18776993705183143, -0.25150947471936963, -0.1221940360374254, -0.2144465060209065, -0.23448175555498202, -0.3522903740658072, -0.1572905113196507, -0.28245918163908257, -0.3098153316646694, -0.2667473272255172, -0.3301302028624382, -0.17747626410019185, -0.3713845379979078, -0.4303965486014528, -0.23140082281584312, -0.09771646266065794, -0.3761015903171256, -0.15822917446678195, -0.4188022596302111, -0.16609072610807468, -0.26320650530910705, -0.3770303618219849, -0.37462696866243655, -0.34775080880748194, -0.291769435254027, -0.1784987223510779, -0.16816999171551542, -0.256621318103329, -0.313919463927293, -0.18569721088777344, -0.223982746419991, -0.33176255485248035, -0.19928866393287725, -0.19899153569740494, -0.3665261193373268, -0.1421135646288806, -0.2782143514385423, -0.2413888089320328, -0.18412908954986465, -0.33283493831471517, -0.3640864164353049, -0.2912716833154644, -0.30509136200060505, -0.40614054784535036, -0.14121495733851525, -0.29490594447852325, -0.15388732473695949, -0.1975006506927185, -0.2975980898896123, -0.27517038485317064, -0.27810666423289976, -0.2191355526203641, -0.19451427451384629, -0.12532729196096612, -0.18300053045144613, -0.14159514073384294, -0.2485266201572539, -0.18002796948775668, -0.0733339305412825, -0.21479756508484593, -0.31545752697712687, -0.28268076944620546, -0.18285937400401914, -0.3696377463267984, -0.21353364968946661, -0.2888018238426478, -0.12974447277223747, -0.2577611528001382, -0.23572149430904593, -0.27070858227809963, -0.29132239174673996, -0.33358403770582434], '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': 1.8019377358048383, 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660925614, 'label': '686.2.a.b.1.1', 'level': 686, 'weight': 2}
• 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': [3, 9, 9, 3], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [6, 7, 7, 7], 'ALdims_old': [12, 19, 12, 18], 'Nk2': 2744, 'analytic_conductor': 5.477737578659834, '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': [686, 1, [3], [1]], 'conrey_index': 1, 'cusp_dim': 85, 'dim': 24, 'eis_dim': 27, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 33555118, 'hecke_orbit_dims': [3, 3, 3, 3, 6, 6], 'label': '686.2.a', 'level': 686, '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': False, 'level_primes': [2, 7], 'level_radical': 14, 'mf_dim': 112, 'mf_new_dim': 24, 'num_forms': 6, 'plus_dim': 6, 'prim_orbit_index': 1, 'relative_dim': 24, 'sturm_bound': 196, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [24, 0, 0, 24, 0, 0, 0, 0, 28, 0, 4, 0, 0, 0, 8, 24, 0, 4, 0, 0, 0, 4, 8, 0, 32, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 28, 4, 0, 12, 0, 0, 0, 8, 4, 0, 8, 0, 0, 0, -44, 20, 0, -36, 0, 0, 0, 16, -44, 0, 8, 0, 0, 0, 24, -28, 0, 12, 0, 0, 0, 24, 4, 0, -44, 0, 0, 0, 16, 20, 0, 60, 0, 0, 0, -20, 12, 0, 4, 0, 0, 0, 8, 36, 0, 40, 0, 0, 0, -60, 32, 0, -84, 0, 0, 0, 16, -72, 0, 28, 0, 0, 0, -16, -84, 0, 8, 0, 0, 0, 8, 64, 0, -60, 0, 0, 0, 28, 0, 0, -28, 0, 0, 0, -88, -144, 0, -172, 0, 0, 0, -152, 24, 0, 28, 0, 0, 0, 4, -12, 0, 44, 0, 0, 0, -160, 12, 0, 24, 0, 0, 0, -68, 40, 0, -128, 0, 0, 0, 76, -20, 0, 8, 0, 0, 0, 4, -140, 0, -56, 0, 0, 0, 68, 8, 0, 40, 0, 0, 0, 40, -152, 0, 4, 0, 0, 0, 4, -60, 0, -44, 0, 0, 0, 20, 28, 0, -120, 0, 0, 0, 60, -36, 0, 32, 0, 0, 0, -20, -24, 0, 20, 0, 0, 0, -68, 36, 0, 16, 0, 0, 0, -44, 48, 0, 68, 0, 0, 0, 60, 8, 0, -64, 0, 0, 0, 32, 72, 0, 88, 0, 0, 0, 68, 20, 0, 24, 0, 0, 0, -28, 100, 0, 60, 0, 0, 0, -212, 12, 0, 52, 0, 0, 0, -16, 96, 0, 24, 0, 0, 0, 64, 56, 0, 24, 0, 0, 0, 4, 104, 0, -96, 0, 0, 0, 92, -44, 0, 28, 0, 0, 0, 48, 108, 0, 40, 0, 0, 0, 104, 36, 0, 16, 0, 0, 0, 20, -172, 0, 92, 0, 0, 0, -16, 60, 0, 32, 0, 0, 0, 68, 76, 0, 128, 0, 0, 0, 80, 4, 0, -20, 0, 0, 0, 12, -60, 0, 108, 0, 0, 0, 144, 4, 0, -36, 0, 0, 0, 36, 112, 0, 108, 0, 0, 0, 64, 60, 0, 8, 0, 0, 0, 36, 36, 0, -44, 0, 0, 0, 112, 40, 0, 56, 0, 0, 0, 60, 44, 0, 80, 0, 0, 0, 52, 44, 0, -60, 0, 0, 0, 32, 16, 0, 108, 0, 0, 0, -72, -84, 0, 28, 0, 0, 0, 76, 112, 0, 56, 0, 0, 0, 44, -40, 0, 16, 0, 0, 0, -72, -28, 0, -100, 0, 0, 0, -12, 28, 0, 72, 0, 0, 0, -188, 116, 0, -100, 0, 0, 0, -152, -144, 0, -16, 0, 0, 0, -84, -140, 0, -116, 0, 0, 0, 100, 8, 0, -200, 0, 0, 0, 68, -48, 0, 36, 0, 0, 0, -268, 72, 0, 8, 0, 0, 0, 64, -112, 0, 120, 0, 0, 0, 132, -60, 0, 68, 0, 0, 0, -4, 128, 0, -48, 0, 0, 0, -104, 68, 0, 28, 0, 0, 0, 0, 120, 0, -44, 0, 0, 0, -40, -28, 0, -148, 0, 0, 0, 60, -40, 0, -24, 0, 0, 0, -92, 88, 0, -88, 0, 0, 0, -144, -124, 0, -4, 0, 0, 0, -48, -172, 0, 96, 0, 0, 0, 68, -144, 0, -92, 0, 0, 0, -76, -184, 0, -152, 0, 0, 0, 24, -60, 0, 136, 0, 0, 0, -4, 28, 0, 40, 0, 0, 0, 12, -36, 0, -168, 0, 0, 0, 192, 92, 0, 4, 0, 0, 0, -12, 20, 0, -32, 0, 0, 0, 32, 44, 0, 108, 0, 0, 0, -156, -40, 0, 168, 0, 0, 0, -128, 108, 0, -160, 0, 0, 0, 12, -212, 0, -240, 0, 0, 0, -252, 24, 0, 76, 0, 0, 0, 92, -164, 0, -44, 0, 0, 0, -124, 88, 0, -68, 0, 0, 0, 40, 168, 0, -212, 0, 0, 0, -40, -128, 0, 80, 0, 0, 0, -116, -208, 0, 32, 0, 0, 0, 168, -60, 0, 76, 0, 0, 0, -20, -268, 0, -224, 0, 0, 0, -176, 8, 0, -60, 0, 0, 0, 96, 0, 0, -464, 0, 0, 0, -40, -60, 0, 4, 0, 0, 0, -140, -12, 0, 60, 0, 0, 0, -140, -56, 0, 100, 0, 0, 0, -120, 124, 0, 124, 0, 0, 0, 280, -132, 0, 68, 0, 0, 0, 8, 20, 0, 204, 0, 0, 0, 172, 40, 0, 92, 0, 0, 0, -44, 200, 0, 152, 0, 0, 0, -204, 104, 0, 40, 0, 0, 0, -152, 104, 0, -188, 0, 0, 0, 80, 4, 0, 48, 0, 0, 0, 40, 172, 0, -188, 0, 0, 0, 8, -64, 0, 4, 0, 0, 0, -60, 176, 0, 124, 0, 0, 0, 40, -44, 0, -140, 0, 0, 0, 116, -332, 0, -36, 0, 0, 0, 280, 124, 0, 20, 0, 0, 0, 28, -32, 0, 0, 0, 0, 0, -72, -120, 0, -84, 0, 0, 0, 140, -112, 0, 104, 0, 0, 0, -188, 88, 0, 60, 0, 0, 0, -36, 76, 0, 52, 0, 0, 0, 184, 32, 0, 168, 0, 0, 0, 108, -168, 0, -156, 0, 0, 0, 40, 184, 0, -20, 0, 0, 0, -24, 52, 0, 292, 0, 0, 0, -100, 20, 0, -184, 0, 0, 0, 96, -328, 0, 60, 0, 0, 0, -56, -192, 0, -68, 0, 0, 0, 36, 224, 0, -252, 0, 0, 0, -156, 16, 0, 100, 0, 0, 0, -104, 232, 0, 204, 0, 0, 0, -12, 116, 0, -44, 0, 0, 0, 48, 292, 0, 124, 0, 0, 0, 24, 68, 0, -44, 0, 0, 0, -160, -152, 0, 212, 0, 0, 0, 20, 176, 0, 60, 0, 0, 0, 8, 256, 0, 52, 0, 0, 0, -152, -64, 0, -112, 0, 0, 0, 112, 248, 0, 44, 0, 0, 0, 160, -168, 0, 32, 0, 0, 0, 72, 72, 0, 260, 0, 0, 0, 288, 88, 0, 28, 0, 0], 'weight': 2, '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: 33850252
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660925614, 'source_is_minimal': True, 'source_label': '686.2.a.b.1.1', 'source_level': 686, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925614, 'target_is_minimal': True, 'target_label': '686.2.a.b.1.1', 'target_level': 686, 'twist_class_label': '686.2.a.a.1.3', 'twist_class_level': 686, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
  • id: 33850253
    {'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660925614, 'source_is_minimal': True, 'source_label': '686.2.a.b.1.1', 'source_level': 686, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539595934636062, 'target_is_minimal': False, 'target_label': '6174.2.a.l.1.2', 'target_level': 6174, 'twist_class_label': '686.2.a.a.1.3', 'twist_class_level': 686, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
  • id: 33850254
    {'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660925614, 'source_is_minimal': True, 'source_label': '686.2.a.b.1.1', 'source_level': 686, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503599660930416, 'target_is_minimal': False, 'target_label': '5488.2.a.b.1.3', 'target_level': 5488, 'twist_class_label': '686.2.a.a.1.3', 'twist_class_level': 686, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
  • id: 33850255
    {'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660925614, 'source_is_minimal': True, 'source_label': '686.2.a.b.1.1', 'source_level': 686, 'target_conrey_index': 361, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007336727249582, 'target_is_minimal': False, 'target_label': '686.2.c.c.361.3', 'target_level': 686, 'twist_class_label': '686.2.a.a.1.3', 'twist_class_level': 686, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
  • id: 33850256
    {'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660925614, 'source_is_minimal': True, 'source_label': '686.2.a.b.1.1', 'source_level': 686, 'target_conrey_index': 667, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936354620078, 'target_is_minimal': False, 'target_label': '686.2.c.d.667.1', 'target_level': 686, 'twist_class_label': '686.2.a.a.1.3', 'twist_class_level': 686, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
  • id: 33850257
    {'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660925614, 'source_is_minimal': True, 'source_label': '686.2.a.b.1.1', 'source_level': 686, 'target_conrey_index': 667, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007336727249582, 'target_is_minimal': False, 'target_label': '686.2.c.c.667.3', 'target_level': 686, 'twist_class_label': '686.2.a.a.1.3', 'twist_class_level': 686, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
  • id: 33850258
    {'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660925614, 'source_is_minimal': True, 'source_label': '686.2.a.b.1.1', 'source_level': 686, 'target_conrey_index': 361, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936354620078, 'target_is_minimal': False, 'target_label': '686.2.c.d.361.1', 'target_level': 686, 'twist_class_label': '686.2.a.a.1.3', 'twist_class_level': 686, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
  • id: 33850259
    {'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660925614, 'source_is_minimal': True, 'source_label': '686.2.a.b.1.1', 'source_level': 686, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 33555118, 'target_is_minimal': True, 'target_label': '686.2.a.a.1.3', 'target_level': 686, 'twist_class_label': '686.2.a.a.1.3', 'twist_class_level': 686, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
  • id: 33850260
    {'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660925614, 'source_is_minimal': True, 'source_label': '686.2.a.b.1.1', 'source_level': 686, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45035996307265566, 'target_is_minimal': False, 'target_label': '6174.2.a.k.1.2', 'target_level': 6174, 'twist_class_label': '686.2.a.a.1.3', 'twist_class_level': 686, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
  • id: 33850261
    {'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660925614, 'source_is_minimal': True, 'source_label': '686.2.a.b.1.1', 'source_level': 686, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543041904, 'target_is_minimal': False, 'target_label': '5488.2.a.e.1.1', 'target_level': 5488, 'twist_class_label': '686.2.a.a.1.3', 'twist_class_level': 686, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 1207925
    {'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 4503599660925614, 'p': 2}
  • id: 1207926
    {'charpoly_factorization': [[[1, -2, -1, 1], 1]], 'hecke_orbit_code': 4503599660925614, 'p': 3}
  • id: 1207927
    {'charpoly_factorization': [[[7, -7, 0, 1], 1]], 'hecke_orbit_code': 4503599660925614, 'p': 5}
  • id: 1207928
    {'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 4503599660925614, 'p': 7}
  • id: 1207929
    {'charpoly_factorization': [[[-7, -21, 0, 1], 1]], 'hecke_orbit_code': 4503599660925614, 'p': 11}
  • id: 1207930
    {'charpoly_factorization': [[[113, -1, -9, 1], 1]], 'hecke_orbit_code': 4503599660925614, 'p': 13}
  • id: 1207931
    {'charpoly_factorization': [[[-13, -25, -4, 1], 1]], 'hecke_orbit_code': 4503599660925614, 'p': 17}
  • id: 1207932
    {'charpoly_factorization': [[[-43, 47, -13, 1], 1]], 'hecke_orbit_code': 4503599660925614, 'p': 19}
  • id: 1207933
    {'charpoly_factorization': [[[91, -14, -7, 1], 1]], 'hecke_orbit_code': 4503599660925614, 'p': 23}
  • id: 1207934
    {'charpoly_factorization': [[[-1, -4, -3, 1], 1]], 'hecke_orbit_code': 4503599660925614, 'p': 29}
  • id: 1207935
    {'charpoly_factorization': [[[-41, 69, -16, 1], 1]], 'hecke_orbit_code': 4503599660925614, 'p': 31}
  • id: 1207936
    {'charpoly_factorization': [[[27, -9, -6, 1], 1]], 'hecke_orbit_code': 4503599660925614, 'p': 37}
  • id: 1207937
    {'charpoly_factorization': [[[-13, 31, -11, 1], 1]], 'hecke_orbit_code': 4503599660925614, 'p': 41}
  • id: 1207938
    {'charpoly_factorization': [[[-29, 24, 11, 1], 1]], 'hecke_orbit_code': 4503599660925614, 'p': 43}
  • id: 1207939
    {'charpoly_factorization': [[[-1, 5, 8, 1], 1]], 'hecke_orbit_code': 4503599660925614, 'p': 47}
  • id: 1207940
    {'charpoly_factorization': [[[-783, -144, 3, 1], 1]], 'hecke_orbit_code': 4503599660925614, 'p': 53}
  • id: 1207941
    {'charpoly_factorization': [[[-211, -95, 4, 1], 1]], 'hecke_orbit_code': 4503599660925614, 'p': 59}
  • id: 1207942
    {'charpoly_factorization': [[[-911, 304, -31, 1], 1]], 'hecke_orbit_code': 4503599660925614, 'p': 61}
  • id: 1207943
    {'charpoly_factorization': [[[-307, 160, -23, 1], 1]], 'hecke_orbit_code': 4503599660925614, 'p': 67}
  • id: 1207944
    {'charpoly_factorization': [[[637, -98, -7, 1], 1]], 'hecke_orbit_code': 4503599660925614, 'p': 71}
  • id: 1207945
    {'charpoly_factorization': [[[-239, 194, -27, 1], 1]], 'hecke_orbit_code': 4503599660925614, 'p': 73}
  • id: 1207946
    {'charpoly_factorization': [[[1063, 325, 32, 1], 1]], 'hecke_orbit_code': 4503599660925614, 'p': 79}
  • id: 1207947
    {'charpoly_factorization': [[[181, -102, 11, 1], 1]], 'hecke_orbit_code': 4503599660925614, 'p': 83}
  • id: 1207948
    {'charpoly_factorization': [[[-29, -53, -10, 1], 1]], 'hecke_orbit_code': 4503599660925614, 'p': 89}
  • id: 1207949
    {'charpoly_factorization': [[[-1, 6, -5, 1], 1]], 'hecke_orbit_code': 4503599660925614, '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': 2, 'label': '686.2.a.b', 'level': 686, 'portrait': 'data:image/png;base64,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', 'weight': 2}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 16195242
    {'hecke_orbit_code': 4503599660925614, 'n': 1, 'trace_an': 3}
  • id: 16195243
    {'hecke_orbit_code': 4503599660925614, 'n': 2, 'trace_an': -3}
  • id: 16195244
    {'hecke_orbit_code': 4503599660925614, 'n': 3, 'trace_an': 1}
  • id: 16195245
    {'hecke_orbit_code': 4503599660925614, 'n': 4, 'trace_an': 3}
  • id: 16195246
    {'hecke_orbit_code': 4503599660925614, 'n': 5, 'trace_an': 0}
  • id: 16195247
    {'hecke_orbit_code': 4503599660925614, 'n': 6, 'trace_an': -1}
  • id: 16195248
    {'hecke_orbit_code': 4503599660925614, 'n': 7, 'trace_an': 0}
  • id: 16195249
    {'hecke_orbit_code': 4503599660925614, 'n': 8, 'trace_an': -3}
  • id: 16195250
    {'hecke_orbit_code': 4503599660925614, 'n': 9, 'trace_an': -4}
  • id: 16195251
    {'hecke_orbit_code': 4503599660925614, 'n': 10, 'trace_an': 0}
  • id: 16195252
    {'hecke_orbit_code': 4503599660925614, 'n': 11, 'trace_an': 0}
  • id: 16195253
    {'hecke_orbit_code': 4503599660925614, 'n': 12, 'trace_an': 1}
  • id: 16195254
    {'hecke_orbit_code': 4503599660925614, 'n': 13, 'trace_an': 9}
  • id: 16195255
    {'hecke_orbit_code': 4503599660925614, 'n': 14, 'trace_an': 0}
  • id: 16195256
    {'hecke_orbit_code': 4503599660925614, 'n': 15, 'trace_an': 0}
  • id: 16195257
    {'hecke_orbit_code': 4503599660925614, 'n': 16, 'trace_an': 3}
  • id: 16195258
    {'hecke_orbit_code': 4503599660925614, 'n': 17, 'trace_an': 4}
  • id: 16195259
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  • id: 16195350
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  • id: 16195360
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  • id: 16195362
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  • id: 16195363
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  • id: 16195364
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  • id: 16195368
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  • id: 16195370
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  • id: 16195371
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  • id: 16195372
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  • id: 16195373
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  • id: 16195374
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  • id: 16195375
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  • id: 16195376
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  • id: 16195377
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  • id: 16195378
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  • id: 16195379
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  • id: 16195380
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  • id: 16195381
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  • id: 16195382
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  • id: 16195383
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  • id: 16195384
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  • id: 16195387
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  • id: 16195388
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  • id: 16195389
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  • id: 16195390
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  • id: 16195391
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  • id: 16195392
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  • id: 16195393
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  • id: 16195394
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  • id: 16195395
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  • id: 16195396
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  • id: 16195397
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  • id: 16195398
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  • id: 16195399
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  • id: 16195400
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  • id: 16195401
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  • id: 16195402
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  • id: 16195403
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  • id: 16195404
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  • id: 16195405
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  • id: 16195406
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  • id: 16195407
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  • id: 16195408
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  • id: 16195409
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  • id: 16195410
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  • id: 16195411
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  • id: 16195412
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  • id: 16195413
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  • id: 16195414
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  • id: 16195415
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  • id: 16195416
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  • id: 16195417
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  • id: 16195418
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  • id: 16195419
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  • id: 16195420
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  • id: 16195421
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  • id: 16195422
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  • id: 16195423
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  • id: 16195424
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  • id: 16195425
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  • id: 16195426
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  • id: 16195427
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  • id: 16195428
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  • id: 16195429
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  • id: 16195430
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  • id: 16195431
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  • id: 16195432
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  • id: 16195433
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  • id: 16195434
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  • id: 16195435
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  • id: 16195436
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  • id: 16195437
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  • id: 16195438
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  • id: 16195439
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  • id: 16195440
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  • id: 16195441
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  • id: 16195442
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  • id: 16195443
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  • id: 16195444
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  • id: 16195445
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  • id: 16195446
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  • id: 16195447
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  • id: 16195448
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  • id: 16195449
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  • id: 16195450
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  • id: 16195451
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  • id: 16195452
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  • id: 16195453
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  • id: 16195454
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  • id: 16195455
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  • id: 16195456
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  • id: 16195457
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  • id: 16195458
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  • id: 16195459
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  • id: 16195460
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  • id: 16195461
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  • id: 16195462
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  • id: 16195463
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  • id: 16195464
    {'hecke_orbit_code': 4503599660925614, 'n': 761, 'trace_an': 93}
  • id: 16195465
    {'hecke_orbit_code': 4503599660925614, 'n': 769, 'trace_an': 49}
  • id: 16195466
    {'hecke_orbit_code': 4503599660925614, 'n': 773, 'trace_an': -12}
  • id: 16195467
    {'hecke_orbit_code': 4503599660925614, 'n': 787, 'trace_an': 11}
  • id: 16195468
    {'hecke_orbit_code': 4503599660925614, 'n': 797, 'trace_an': -8}
  • id: 16195469
    {'hecke_orbit_code': 4503599660925614, 'n': 809, 'trace_an': -87}
  • id: 16195470
    {'hecke_orbit_code': 4503599660925614, 'n': 811, 'trace_an': 48}
  • id: 16195471
    {'hecke_orbit_code': 4503599660925614, 'n': 821, 'trace_an': -38}
  • id: 16195472
    {'hecke_orbit_code': 4503599660925614, 'n': 823, 'trace_an': 76}
  • id: 16195473
    {'hecke_orbit_code': 4503599660925614, 'n': 827, 'trace_an': 25}
  • id: 16195474
    {'hecke_orbit_code': 4503599660925614, 'n': 829, 'trace_an': -35}
  • id: 16195475
    {'hecke_orbit_code': 4503599660925614, 'n': 839, 'trace_an': 22}
  • id: 16195476
    {'hecke_orbit_code': 4503599660925614, 'n': 841, 'trace_an': -70}
  • id: 16195477
    {'hecke_orbit_code': 4503599660925614, 'n': 853, 'trace_an': -1}
  • id: 16195478
    {'hecke_orbit_code': 4503599660925614, 'n': 857, 'trace_an': 86}
  • id: 16195479
    {'hecke_orbit_code': 4503599660925614, 'n': 859, 'trace_an': 98}
  • id: 16195480
    {'hecke_orbit_code': 4503599660925614, 'n': 863, 'trace_an': -2}
  • id: 16195481
    {'hecke_orbit_code': 4503599660925614, 'n': 877, 'trace_an': 74}
  • id: 16195482
    {'hecke_orbit_code': 4503599660925614, 'n': 881, 'trace_an': 20}
  • id: 16195483
    {'hecke_orbit_code': 4503599660925614, 'n': 883, 'trace_an': -80}
  • id: 16195484
    {'hecke_orbit_code': 4503599660925614, 'n': 887, 'trace_an': -10}
  • id: 16195485
    {'hecke_orbit_code': 4503599660925614, 'n': 907, 'trace_an': -15}
  • id: 16195486
    {'hecke_orbit_code': 4503599660925614, 'n': 911, 'trace_an': -31}
  • id: 16195487
    {'hecke_orbit_code': 4503599660925614, 'n': 919, 'trace_an': -21}
  • id: 16195488
    {'hecke_orbit_code': 4503599660925614, 'n': 929, 'trace_an': 39}
  • id: 16195489
    {'hecke_orbit_code': 4503599660925614, 'n': 937, 'trace_an': 6}
  • id: 16195490
    {'hecke_orbit_code': 4503599660925614, 'n': 941, 'trace_an': -37}
  • id: 16195491
    {'hecke_orbit_code': 4503599660925614, 'n': 947, 'trace_an': -40}
  • id: 16195492
    {'hecke_orbit_code': 4503599660925614, 'n': 953, 'trace_an': 6}
  • id: 16195493
    {'hecke_orbit_code': 4503599660925614, 'n': 961, 'trace_an': 25}
  • id: 16195494
    {'hecke_orbit_code': 4503599660925614, 'n': 967, 'trace_an': 12}
  • id: 16195495
    {'hecke_orbit_code': 4503599660925614, 'n': 971, 'trace_an': 3}
  • id: 16195496
    {'hecke_orbit_code': 4503599660925614, 'n': 977, 'trace_an': 52}
  • id: 16195497
    {'hecke_orbit_code': 4503599660925614, 'n': 983, 'trace_an': -3}
  • id: 16195498
    {'hecke_orbit_code': 4503599660925614, 'n': 991, 'trace_an': 64}
  • id: 16195499
    {'hecke_orbit_code': 4503599660925614, 'n': 997, 'trace_an': -39}