Embedded newform data - 48.4.a.b.1.1

Formats: - HTML - YAML - JSON - 2024-04-25T05:44:24.158568

• 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': 768, 'analytic_conductor': 2.8320916802755494, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1]], 'atkin_lehner_string': '++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [48, 1, [31, 37, 17], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-14, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599694479408, 'hecke_ring_generator_nbound': 1, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '48.4.a.b', 'level': 48, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '24.4.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-3q^{3}+14q^{5}+24q^{7}+9q^{9}+28q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '48.4.a', 'trace_display': [0, -3, 14, 24], 'trace_hash': 1434292916865864057, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.036', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.977', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.045', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.903', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.056', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.646', 'prec': 17}], 'trace_zratio': 0, 'traces': [1, 0, -3, 0, 14, 0, 24, 0, 9, 0, 28, 0, -74, 0, -42, 0, 82, 0, -92, 0, -72, 0, -8, 0, 71, 0, -27, 0, -138, 0, -80, 0, -84, 0, 336, 0, 30, 0, 222, 0, 282, 0, -4, 0, 126, 0, -240, 0, 233, 0, -246, 0, -130, 0, 392, 0, 276, 0, -596, 0, -218, 0, 216, 0, -1036, 0, 436, 0, 24, 0, -856, 0, -998, 0, -213, 0, 672, 0, 32, 0, 81, 0, 1508, 0, 1148, 0, 414, 0, -246, 0, -1776, 0, 240, 0, -1288, 0, 866, 0, 252, 0, 270, 0, 1496, 0, -1008, 0, 1692, 0, 406, 0, -90, 0, 786, 0, -112, 0, -666, 0, 1968, 0, -547, 0, -846, 0, -756, 0, -1744, 0, 12, 0, -652, 0, -2208, 0, -378, 0, 1530, 0, -516, 0, 720, 0, -2072, 0, -1932, 0, -699, 0, 1342, 0, 424, 0, 738, 0, -1120, 0, 262, 0, 390, 0, -192, 0, 2292, 0, -1176, 0, 1896, 0, 3279, 0, -828, 0, -2874, 0, 1704, 0, 1788, 0, 1188, 0, -3474, 0, 654, 0, 420, 0, 2296, 0, -648, 0, -192, 0, 4802, 0, 3108, 0, 1518, 0, -5128, 0, -1308, 0, -3312, 0, 3948, 0, -72, 0, -2576, 0, -1084, 0, 2568, 0, -56, 0, -1920, 0, 2994, 0, -6068, 0, -688, 0, 639, 0, -4812, 0, 2494, 0, -2016, 0, 698, 0, -3360, 0, -96, 0, 6320, 0, -6510, 0, -243, 0, 3262, 0, 6808, 0, -4524, 0, -628, 0, -224, 0, -3444, 0, -4862, 0, 720, 0, -1242, 0, -5816, 0, -1820, 0, 738, 0, 3526, 0, 256, 0, 5328, 0, 1988, 0, 142, 0, -720, 0, 8842, 0, 7180, 0, 3864, 0, 6768, 0, 1811, 0, -2598, 0, 7374, 0, -8344, 0, -756, 0, 592, 0, -96, 0, -810, 0, -3052, 0, -1500, 0, -4488, 0, 7608, 0, -4758, 0, 3024, 0, 4374, 0, -3864, 0, -5076, 0, -7544, 0, -5254, 0, -1218, 0, -5760, 0, 7804, 0, 270, 0, 6104, 0, 5106, 0, -2358, 0, -2240, 0, -2640, 0, 336, 0, 4716, 0, 7302, 0, 1998, 0, -4382, 0, -11984, 0, -5904, 0, -7224, 0, 1605, 0, 1641, 0, -13972, 0, -1408, 0, 2538, 0, -3120, 0, -1714, 0, 2268, 0, 10212, 0, -884, 0, 5232, 0, -10368, 0, 9408, 0, -36, 0, 398, 0, -656, 0, 1956, 0, 448, 0, -5098, 0, 6624, 0, 10002, 0, 5920, 0, 1134, 0, 840, 0, -9270, 0, -4590, 0, -14304, 0, 21112, 0, 1548, 0, 6516, 0, -2626, 0, -2160, 0, 5822, 0, -5232, 0, 6216, 0, 4304, 0, 11794, 0, 5796, 0, 736, 0, 5544, 0, 2097, 0, 3788, 0, -3444, 0, -4026, 0, -13342, 0, 7896, 0, -1272, 0, -24864, 0, -4390, 0, -2214, 0, 5798, 0, 14656, 0, 3360, 0, -8412, 0, 10464, 0, -786, 0, -112, 0, -6532, 0, -1170, 0, -14848, 0, -2220, 0, 576, 0, 12124, 0, -18568, 0, -6876, 0, 14364, 0, -11316, 0, 3528, 0, -20544, 0, -21660, 0, -5688, 0, 17112, 0, 3780, 0, -9837, 0, 11478, 0, -23952, 0, 2484, 0, 20944, 0, -6720, 0, 8622, 0, 13114, 0, 4508, 0, -5112, 0, -6560, 0, -12103, 0, -5364, 0, -20868, 0, 23688, 0, -3564, 0, 6524, 0, 22950, 0, 10422, 0, 5684, 0, 6580, 0, -1962, 0, 12696, 0, 768, 0, -1260, 0, 7046, 0, 296, 0, -6888, 0, -8252, 0, 11004, 0, 1944, 0, -6838, 0, -23316, 0, 576, 0, -568, 0, -10558, 0, -14406, 0, 36192, 0, -3640, 0, -9324, 0, -1028, 0, 7360, 0, -4554, 0, 1202, 0, 27552, 0, 15384, 0, 3576, 0, 8650, 0, 3924, 0, -7658, 0, -12656, 0, 9936, 0, 17760, 0, -3298, 0, -11844, 0, 5370, 0, 16220, 0, 216, 0, -5904, 0, -19459, 0, 7728, 0, 2460, 0, 20360, 0, 3252, 0, -24416, 0, -17242, 0, -7704, 0, 14498, 0, -21612, 0, 168, 0, -12184, 0, -16688, 0, 5760, 0, -28122, 0, -9128, 0, -8982, 0, 5700, 0, -29458, 0, 18204, 0, -30912, 0, 1104, 0, 2064, 0, -6104, 0, 19810, 0, -1917, 0, -10450, 0, 20784, 0, 14436, 0, -23300, 0, 21420, 0, -7482, 0, 9620, 0, 14212, 0, 6048, 0, -7224, 0, 23124, 0, -2094, 0, -15978, 0, -2760, 0, 10080, 0, 6480, 0, -8866, 0, 288, 0, 640, 0, -29008, 0, -18960, 0, -7760, 0, 35904, 0, 19530, 0, -9798, 0, -13080, 0, 729, 0, -328, 0, 16934, 0, -9786, 0, 12208, 0, 7060, 0, -20424, 0, 12520, 0, 18788, 0, 13572, 0, 40608, 0, 9792, 0, 1884, 0, 5936, 0, 13166, 0, 672, 0, -23222, 0, 9744, 0, 10332, 0, 44104, 0, -39934, 0, 14586, 0, -17106, 0, -5680, 0, -2160, 0, -25944, 0, -23968, 0, 3726, 0, 3668, 0, 9956, 0, 17448, 0, 18864, 0, 16132, 0, 5460, 0, -9130, 0, -19680, 0, -2214, 0, -27944, 0, -2688, 0, -10578, 0, 11482, 0, -4612, 0, -768, 0, 32088, 0, 368, 0, -15984, 0, -35010, 0, -13688, 0, -5964, 0, -11668, 0, -29306, 0, -426, 0, 19106, 0, 26544, 0, 2160, 0, 2664, 0, -5345, 0, -26526, 0, 45906, 0, -13128, 0, -21540, 0, -240, 0, 26030, 0, -11592, 0, 44202, 0, 32748, 0, -20304, 0, -45344, 0, -40236, 0, -5433, 0, 896, 0, -32264, 0, 7794, 0, -18144, 0, -8778, 0, -22122, 0, -4142, 0, -22076, 0, 25032, 0, 40376, 0, -41856, 0, 2268, 0, 22080, 0, 16632, 0, -1776, 0, 11040, 0, -10660, 0, 288, 0, -48636, 0, 26396, 0, 2430, 0, -24368, 0, 42224, 0, 9156, 0, -15648, 0, 5096, 0, 4500, 0, 63344, 0, 2130, 0, 13464, 0, -18494, 0, -21436, 0, -22824, 0, 32144, 0, -33222, 0, 14274, 0, 27846, 0, -2256, 0, -9072, 0, -41052, 0, 73852, 0, -13122, 0, 5706, 0, -2688, 0, 11592, 0, 36720, 0, -23391, 0, 15228, 0, 67228, 0, 39352, 0, 22632, 0, 33180, 0, -12384, 0, 15762, 0, -4014, 0, -6888, 0, 3654, 0, -20328, 0, 21252, 0, 17280, 0, 32, 0, -11728, 0, -23412, 0, -71792, 0, 50974, 0, -810, 0], 'weight': 4, '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], [0.0, 0.0], [-0.5773502691896257, 0.0], [0.0, 0.0], [1.2521980673998823, 0.0], [0.0, 0.0], [1.2958781931744934, 0.0], [0.0, 0.0], [0.3333333333333333, 0.0], [0.0, 0.0], [0.7674834225615801, 0.0], [0.0, 0.0], [-1.578762096948729, 0.0], [0.0, 0.0], [-0.7229568912920512, 0.0], [0.0, 0.0], [1.1698777207634885, 0.0], [0.0, 0.0], [-1.110855132425878, 0.0], [0.0, 0.0], [-0.7481756236662596, 0.0], [0.0, 0.0], [-0.07252675271550427, 0.0], [0.0, 0.0], [0.568, 0.0], [0.0, 0.0], [-0.19245008972987526, 0.0], [0.0, 0.0], [-0.883653678221833, 0.0], [0.0, 0.0], [-0.4634975536174836, 0.0], [0.0, 0.0], [-0.4431067606145036, 0.0], [0.0, 0.0], [1.6226961690787518, 0.0], [0.0, 0.0], [0.13329647619353294, 0.0], [0.0, 0.0], [0.9114987216597268, 0.0], [0.0, 0.0], [1.0741707525021198, 0.0], [0.0, 0.0], [-0.014185913519312062, 0.0], [0.0, 0.0], [0.41739935579996074, 0.0], [0.0, 0.0], [-0.7448425097764828, 0.0], [0.0, 0.0], [0.6793002915451894, 0.0], [0.0, 0.0], [-0.6754292170017459, 0.0], [0.0, 0.0], [-0.33692213798735043, 0.0], [0.0, 0.0], [0.9610412584930578, 0.0], [0.0, 0.0], [0.6413525097367581, 0.0], [0.0, 0.0], [-1.315128660077475, 0.0], [0.0, 0.0], [-0.457574423366743, 0.0], [0.0, 0.0], [0.4319593977248311, 0.0], [0.0, 0.0], [-1.976922846683384, 0.0], [0.0, 0.0], [0.7950131005872997, 0.0], [0.0, 0.0], [0.04187334020374581, 0.0], [0.0, 0.0], [-1.4308240836816035, 0.0], [0.0, 0.0], [-1.6000967794758671, 0.0], [0.0, 0.0], [-0.3279349528997074, 0.0], [0.0, 0.0], [0.9945650309204767, 0.0], [0.0, 0.0], [0.0455731807970035, 0.0], [0.0, 0.0], [0.1111111111111111, 0.0], [0.0, 0.0], [1.9942711333066632, 0.0], [0.0, 0.0], [1.4649186210342193, 0.0], [0.0, 0.0], [0.5101776889917782, 0.0], [0.0, 0.0], [-0.29298817806917365, 0.0], [0.0, 0.0], [-2.0458833736462934, 0.0], [0.0, 0.0], [0.26760043734978717, 0.0], [0.0, 0.0], [-1.3910106499849246, 0.0], [0.0, 0.0], [0.9064843082533135, 0.0], [0.0, 0.0], [0.2558278075205267, 0.0], [0.0, 0.0], [0.2660000409472248, 0.0], [0.0, 0.0], [1.4311190292560996, 0.0], [0.0, 0.0], [-0.9368640700305918, 0.0], [0.0, 0.0], [1.5287085415563204, 0.0], [0.0, 0.0], [0.3567683227520986, 0.0], [0.0, 0.0], [-0.07695875641236478, 0.0], [0.0, 0.0], [0.6543421261500066, 0.0], [0.0, 0.0], [-0.0908178595851436, 0.0], [0.0, 0.0], [-0.526254032316243, 0.0], [0.0, 0.0], [1.516019027018084, 0.0], [0.0, 0.0], [-0.410969196093163, 0.0], [0.0, 0.0], [-0.6201727731127217, 0.0], [0.0, 0.0], [-0.5409495651167491, 0.0], [0.0, 0.0], [-1.2185431121430728, 0.0], [0.0, 0.0], [0.008190240989075571, 0.0], [0.0, 0.0], [-0.43485117934579903, 0.0], [0.0, 0.0], [-1.4395329418866594, 0.0], [0.0, 0.0], [-0.24098563043068372, 0.0], [0.0, 0.0], [0.9541366542384264, 0.0], [0.0, 0.0], [-0.31486725734882376, 0.0], [0.0, 0.0], [0.43003502352332884, 0.0], [0.0, 0.0], [-1.2116737375767077, 0.0], [0.0, 0.0], [-1.1065094281201766, 0.0], [0.0, 0.0], [-0.3921942061842064, 0.0], [0.0, 0.0], [0.7378585485480217, 0.0], [0.0, 0.0], [0.22850748776090835, 0.0], [0.0, 0.0], [0.38995924025449613, 0.0], [0.0, 0.0], [-0.5803907408843862, 0.0], [0.0, 0.0], [0.13318392594300446, 0.0], [0.0, 0.0], [0.19452208706294102, 0.0], [0.0, 0.0], [-0.09398583726578094, 0.0], [0.0, 0.0], [1.1013699088174222, 0.0], [0.0, 0.0], [-0.5548574292933036, 0.0], [0.0, 0.0], [0.8785442208890559, 0.0], [0.0, 0.0], [1.4924897587619481, 0.0], [0.0, 0.0], [-0.37028504414195934, 0.0], [0.0, 0.0], [-1.263041466895453, 0.0], [0.0, 0.0], [0.7360588137231122, 0.0], [0.0, 0.0], [0.759289885914722, 0.0], [0.0, 0.0], [0.4960630671448602, 0.0], [0.0, 0.0], [-1.42663196909539, 0.0], [0.0, 0.0], [0.26418071650507685, 0.0], [0.0, 0.0], [0.16691358988075636, 0.0], [0.0, 0.0], [0.8978617571101026, 0.0], [0.0, 0.0], [-0.24939187455541986, 0.0], [0.0, 0.0], [-0.07273629540112302, 0.0], [0.0, 0.0], [1.7909612617073736, 0.0], [0.0, 0.0], [1.141376937699773, 0.0], [0.0, 0.0], [0.5490001110743494, 0.0], [0.0, 0.0], [-1.826704934312938, 0.0], [0.0, 0.0], 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'angles': [None, None, -0.1423252801534703, -0.13781556053854835, -0.18731764902444814, -0.39479918633789396, -0.15055924751214936, -0.34372269313778137, -0.2557727613003585, -0.3228347190773701, -0.28722236510441224, -0.2393847347322203, -0.15976264632091344, -0.25112888859530885, -0.31073616680855937, -0.27693987333715897, -0.3642066062220755, -0.28673800096814894, -0.18493779678683891, -0.37688049351980735, -0.39759645411729966, -0.24637308758951093, -0.012049199961750974, -0.2733994671096305, -0.17513364373928478, -0.22876948160029872, -0.12308591056529102, -0.11152894653261536, -0.22145651137529018, -0.19695233280919222, -0.35426902873421234, -0.2848829731711021, -0.1708497104373688, -0.2751610169864121, -0.18986222776291714, -0.2317761554952595, -0.23939371113844438, -0.15718328777394067, -0.17761819960280267, -0.35878446894399024, -0.2101081694368792, -0.3764037706697741, -0.25578944718405894, -0.07341602167544978, -0.20574382510865263, -0.4332578568743907, -0.2782934342871205, 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-0.20986741641946033, -0.26591740964191063, -0.3835672668671602, -0.2968068113381857, -0.28944421595923076, -0.35519927860949124, -0.24127231419669024, -0.16251447803273017, -0.07845950257693135, -0.13730550849599446, -0.42615591463283364, -0.2770256055699949, -0.26261802622877733, -0.3191038092914763, -0.11156665806862354, -0.1697432119305566, -0.3230625856389333, -0.23542348802626115, -0.30294657146473075, -0.348306507707906, -0.1698944787492618, -0.37437737773309315, -0.23454156176060495, -0.13647528509272322, -0.1576377697085746, -0.2604673993733643, -0.3034885745447744, -0.2800950321355756, -0.09983926036952791], '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': 0.0, 'hecke_orbit': 2, 'hecke_orbit_code': 4503599694479408, 'label': '48.4.a.b.1.1', 'level': 48, 'weight': 4}
• 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

  
  {'AL_dims': [[[[2, -1], [3, -1]], 1, 1], [[[2, -1], [3, 1]], 1, 1], [[[2, 1], [3, 1]], 1, 1]], 'ALdims': [1, 0, 1, 1], 'Nk2': 768, 'analytic_conductor': 2.8320916802755494, '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': [48, 1, [31, 37, 17], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 18, 'dim': 3, 'eis_dim': 12, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 67108912, 'hecke_orbit_dims': [1, 1, 1], 'label': '48.4.a', 'level': 48, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 30, 'mf_new_dim': 3, 'num_forms': 3, 'plus_dim': 2, 'prim_orbit_index': 1, 'relative_dim': 3, 'sturm_bound': 32, 'trace_bound': 5, 'trace_display': [0, -3, 2, 32], 'traces': [3, 0, -3, 0, 2, 0, 32, 0, 27, 0, -20, 0, -46, 0, 30, 0, -26, 0, -12, 0, 0, 0, -248, 0, 181, 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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: 34273306
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694479408, 'source_is_minimal': False, 'source_label': '48.4.a.b.1.1', 'source_level': 48, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694479408, 'target_is_minimal': False, 'target_label': '48.4.a.b.1.1', 'target_level': 48, 'twist_class_label': '24.4.a.a.1.1', 'twist_class_level': 24, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
  • id: 34273307
    {'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694479408, 'source_is_minimal': False, 'source_label': '48.4.a.b.1.1', 'source_level': 48, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694479504, 'target_is_minimal': False, 'target_label': '144.4.a.b.1.1', 'target_level': 144, 'twist_class_label': '24.4.a.a.1.1', 'twist_class_level': 24, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
  • id: 34273308
    {'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694479408, 'source_is_minimal': False, 'source_label': '48.4.a.b.1.1', 'source_level': 48, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67108888, 'target_is_minimal': True, 'target_label': '24.4.a.a.1.1', 'target_level': 24, 'twist_class_label': '24.4.a.a.1.1', 'twist_class_level': 24, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 4}
  • id: 34273309
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694479408, 'source_is_minimal': False, 'source_label': '48.4.a.b.1.1', 'source_level': 48, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67554338075051184, 'target_is_minimal': False, 'target_label': '1200.4.f.p.49.2', 'target_level': 1200, 'twist_class_label': '24.4.a.a.1.1', 'twist_class_level': 24, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
  • id: 34273310
    {'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694479408, 'source_is_minimal': False, 'source_label': '48.4.a.b.1.1', 'source_level': 48, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67554338075051184, 'target_is_minimal': False, 'target_label': '1200.4.f.p.49.1', 'target_level': 1200, 'twist_class_label': '24.4.a.a.1.1', 'twist_class_level': 24, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
  • id: 34273311
    {'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694479408, 'source_is_minimal': False, 'source_label': '48.4.a.b.1.1', 'source_level': 48, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992614519984, 'target_is_minimal': False, 'target_label': '1200.4.a.u.1.1', 'target_level': 1200, 'twist_class_label': '24.4.a.a.1.1', 'twist_class_level': 24, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
  • id: 34273312
    {'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694479408, 'source_is_minimal': False, 'source_label': '48.4.a.b.1.1', 'source_level': 48, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079191869262128, 'target_is_minimal': False, 'target_label': '2352.4.a.w.1.1', 'target_level': 2352, 'twist_class_label': '24.4.a.a.1.1', 'twist_class_level': 24, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 4}
  • id: 34273313
    {'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694479408, 'source_is_minimal': False, 'source_label': '48.4.a.b.1.1', 'source_level': 48, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67109056, 'target_is_minimal': False, 'target_label': '192.4.a.a.1.1', 'target_level': 192, 'twist_class_label': '24.4.a.a.1.1', 'twist_class_level': 24, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 4}
  • id: 34273314
    {'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694479408, 'source_is_minimal': False, 'source_label': '48.4.a.b.1.1', 'source_level': 48, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597831332032, 'target_is_minimal': False, 'target_label': '192.4.a.g.1.1', 'target_level': 192, 'twist_class_label': '24.4.a.a.1.1', 'twist_class_level': 24, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 4}
  • id: 34273315
    {'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694479408, 'source_is_minimal': False, 'source_label': '48.4.a.b.1.1', 'source_level': 48, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694479432, 'target_is_minimal': False, 'target_label': '72.4.a.b.1.1', 'target_level': 72, 'twist_class_label': '24.4.a.a.1.1', 'twist_class_level': 24, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 4}
  • id: 34273316
    {'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694479408, 'source_is_minimal': False, 'source_label': '48.4.a.b.1.1', 'source_level': 48, 'target_conrey_index': 385, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050601008726784, 'target_is_minimal': False, 'target_label': '768.4.d.o.385.2', 'target_level': 768, 'twist_class_label': '24.4.a.a.1.1', 'twist_class_level': 24, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 4}
  • id: 34273317
    {'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694479408, 'source_is_minimal': False, 'source_label': '48.4.a.b.1.1', 'source_level': 48, 'target_conrey_index': 385, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503805852910336, 'target_is_minimal': False, 'target_label': '768.4.d.b.385.2', 'target_level': 768, 'twist_class_label': '24.4.a.a.1.1', 'twist_class_level': 24, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 4}
  • id: 34273318
    {'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694479408, 'source_is_minimal': False, 'source_label': '48.4.a.b.1.1', 'source_level': 48, 'target_conrey_index': 385, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050601008726784, 'target_is_minimal': False, 'target_label': '768.4.d.o.385.1', 'target_level': 768, 'twist_class_label': '24.4.a.a.1.1', 'twist_class_level': 24, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 4}
  • id: 34273319
    {'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694479408, 'source_is_minimal': False, 'source_label': '48.4.a.b.1.1', 'source_level': 48, 'target_conrey_index': 385, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805852910336, 'target_is_minimal': False, 'target_label': '768.4.d.b.385.1', 'target_level': 768, 'twist_class_label': '24.4.a.a.1.1', 'twist_class_level': 24, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 4}
  • id: 34273320
    {'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694479408, 'source_is_minimal': False, 'source_label': '48.4.a.b.1.1', 'source_level': 48, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503943291863640, 'target_is_minimal': False, 'target_label': '600.4.f.b.49.2', 'target_level': 600, 'twist_class_label': '24.4.a.a.1.1', 'twist_class_level': 24, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 4}
  • id: 34273321
    {'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694479408, 'source_is_minimal': False, 'source_label': '48.4.a.b.1.1', 'source_level': 48, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943291863640, 'target_is_minimal': False, 'target_label': '600.4.f.b.49.1', 'target_level': 600, 'twist_class_label': '24.4.a.a.1.1', 'twist_class_level': 24, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 4}
  • id: 34273322
    {'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694479408, 'source_is_minimal': False, 'source_label': '48.4.a.b.1.1', 'source_level': 48, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197458702936, 'target_is_minimal': False, 'target_label': '600.4.a.h.1.1', 'target_level': 600, 'twist_class_label': '24.4.a.a.1.1', 'twist_class_level': 24, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 4}
  • id: 34273323
    {'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694479408, 'source_is_minimal': False, 'source_label': '48.4.a.b.1.1', 'source_level': 48, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575592241889856, 'target_is_minimal': False, 'target_label': '576.4.a.v.1.1', 'target_level': 576, 'twist_class_label': '24.4.a.a.1.1', 'twist_class_level': 24, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 4}
  • id: 34273324
    {'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694479408, 'source_is_minimal': False, 'source_label': '48.4.a.b.1.1', 'source_level': 48, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992614519360, 'target_is_minimal': False, 'target_label': '576.4.a.u.1.1', 'target_level': 576, 'twist_class_label': '24.4.a.a.1.1', 'twist_class_level': 24, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 4}
  • id: 34273325
    {'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694479408, 'source_is_minimal': False, 'source_label': '48.4.a.b.1.1', 'source_level': 48, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67110040, 'target_is_minimal': False, 'target_label': '1176.4.a.a.1.1', 'target_level': 1176, 'twist_class_label': '24.4.a.a.1.1', 'twist_class_level': 24, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 4}
  • id: 34273326
    {'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694479408, 'source_is_minimal': False, 'source_label': '48.4.a.b.1.1', 'source_level': 48, 'target_conrey_index': 433, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149450293896, 'target_is_minimal': False, 'target_label': '648.4.i.b.433.1', 'target_level': 648, 'twist_class_label': '24.4.a.a.1.1', 'twist_class_level': 24, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 4}
  • id: 34273327
    {'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694479408, 'source_is_minimal': False, 'source_label': '48.4.a.b.1.1', 'source_level': 48, 'target_conrey_index': 433, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036546096628360, 'target_is_minimal': False, 'target_label': '648.4.i.k.433.1', 'target_level': 648, 'twist_class_label': '24.4.a.a.1.1', 'twist_class_level': 24, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 4}
  • id: 34273328
    {'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694479408, 'source_is_minimal': False, 'source_label': '48.4.a.b.1.1', 'source_level': 48, 'target_conrey_index': 217, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036546096628360, 'target_is_minimal': False, 'target_label': '648.4.i.k.217.1', 'target_level': 648, 'twist_class_label': '24.4.a.a.1.1', 'twist_class_level': 24, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 4}
  • id: 34273329
    {'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694479408, 'source_is_minimal': False, 'source_label': '48.4.a.b.1.1', 'source_level': 48, 'target_conrey_index': 217, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149450293896, 'target_is_minimal': False, 'target_label': '648.4.i.b.217.1', 'target_level': 648, 'twist_class_label': '24.4.a.a.1.1', 'twist_class_level': 24, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 4}
  • id: 34273330
    {'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694479408, 'source_is_minimal': False, 'source_label': '48.4.a.b.1.1', 'source_level': 48, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057937702422280, 'target_is_minimal': False, 'target_label': '1800.4.f.q.649.2', 'target_level': 1800, 'twist_class_label': '24.4.a.a.1.1', 'twist_class_level': 24, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 4}
  • id: 34273331
    {'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694479408, 'source_is_minimal': False, 'source_label': '48.4.a.b.1.1', 'source_level': 48, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057937702422280, 'target_is_minimal': False, 'target_label': '1800.4.f.q.649.1', 'target_level': 1800, 'twist_class_label': '24.4.a.a.1.1', 'twist_class_level': 24, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 4}
  • id: 34273332
    {'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599694479408, 'source_is_minimal': False, 'source_label': '48.4.a.b.1.1', 'source_level': 48, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 144115188142966536, 'target_is_minimal': False, 'target_label': '1800.4.a.bg.1.1', 'target_level': 1800, 'twist_class_label': '24.4.a.a.1.1', 'twist_class_level': 24, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 4}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 157050
    {'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599694479408, 'p': 2}
  • id: 157051
    {'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 4503599694479408, 'p': 3}
  • id: 157052
    {'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 4503599694479408, 'p': 5}
  • id: 157053
    {'charpoly_factorization': [[[-24, 1], 1]], 'hecke_orbit_code': 4503599694479408, 'p': 7}
  • id: 157054
    {'charpoly_factorization': [[[-28, 1], 1]], 'hecke_orbit_code': 4503599694479408, 'p': 11}
  • id: 157055
    {'charpoly_factorization': [[[74, 1], 1]], 'hecke_orbit_code': 4503599694479408, 'p': 13}
  • id: 157056
    {'charpoly_factorization': [[[-82, 1], 1]], 'hecke_orbit_code': 4503599694479408, 'p': 17}
  • id: 157057
    {'charpoly_factorization': [[[92, 1], 1]], 'hecke_orbit_code': 4503599694479408, 'p': 19}
  • id: 157058
    {'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 4503599694479408, 'p': 23}
  • id: 157059
    {'charpoly_factorization': [[[138, 1], 1]], 'hecke_orbit_code': 4503599694479408, 'p': 29}
  • id: 157060
    {'charpoly_factorization': [[[80, 1], 1]], 'hecke_orbit_code': 4503599694479408, 'p': 31}
  • id: 157061
    {'charpoly_factorization': [[[-30, 1], 1]], 'hecke_orbit_code': 4503599694479408, 'p': 37}
  • id: 157062
    {'charpoly_factorization': [[[-282, 1], 1]], 'hecke_orbit_code': 4503599694479408, 'p': 41}
  • id: 157063
    {'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599694479408, 'p': 43}
  • id: 157064
    {'charpoly_factorization': [[[240, 1], 1]], 'hecke_orbit_code': 4503599694479408, 'p': 47}
  • id: 157065
    {'charpoly_factorization': [[[130, 1], 1]], 'hecke_orbit_code': 4503599694479408, 'p': 53}
  • id: 157066
    {'charpoly_factorization': [[[596, 1], 1]], 'hecke_orbit_code': 4503599694479408, 'p': 59}
  • id: 157067
    {'charpoly_factorization': [[[218, 1], 1]], 'hecke_orbit_code': 4503599694479408, 'p': 61}
  • id: 157068
    {'charpoly_factorization': [[[-436, 1], 1]], 'hecke_orbit_code': 4503599694479408, 'p': 67}
  • id: 157069
    {'charpoly_factorization': [[[856, 1], 1]], 'hecke_orbit_code': 4503599694479408, 'p': 71}
  • id: 157070
    {'charpoly_factorization': [[[998, 1], 1]], 'hecke_orbit_code': 4503599694479408, 'p': 73}
  • id: 157071
    {'charpoly_factorization': [[[-32, 1], 1]], 'hecke_orbit_code': 4503599694479408, 'p': 79}
  • id: 157072
    {'charpoly_factorization': [[[-1508, 1], 1]], 'hecke_orbit_code': 4503599694479408, 'p': 83}
  • id: 157073
    {'charpoly_factorization': [[[246, 1], 1]], 'hecke_orbit_code': 4503599694479408, 'p': 89}
  • id: 157074
    {'charpoly_factorization': [[[-866, 1], 1]], 'hecke_orbit_code': 4503599694479408, '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': '48.4.a.b', 'level': 48, 'portrait': 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', 'weight': 4}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 72115000
    {'hecke_orbit_code': 4503599694479408, 'n': 1, 'trace_an': 1}
  • id: 72115001
    {'hecke_orbit_code': 4503599694479408, 'n': 2, 'trace_an': 0}
  • id: 72115002
    {'hecke_orbit_code': 4503599694479408, 'n': 3, 'trace_an': -3}
  • id: 72115003
    {'hecke_orbit_code': 4503599694479408, 'n': 4, 'trace_an': 0}
  • id: 72115004
    {'hecke_orbit_code': 4503599694479408, 'n': 5, 'trace_an': 14}
  • id: 72115005
    {'hecke_orbit_code': 4503599694479408, 'n': 6, 'trace_an': 0}
  • id: 72115006
    {'hecke_orbit_code': 4503599694479408, 'n': 7, 'trace_an': 24}
  • id: 72115007
    {'hecke_orbit_code': 4503599694479408, 'n': 8, 'trace_an': 0}
  • id: 72115008
    {'hecke_orbit_code': 4503599694479408, 'n': 9, 'trace_an': 9}
  • id: 72115009
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  • id: 72115010
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  • id: 72115011
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  • id: 72115012
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  • id: 72115013
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  • id: 72115014
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  • id: 72115015
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  • id: 72115016
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  • id: 72115017
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  • id: 72115018
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  • id: 72115019
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  • id: 72115020
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  • id: 72115021
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  • id: 72115022
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  • id: 72115023
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  • id: 72115024
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  • id: 72115025
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  • id: 72115026
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  • id: 72115027
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  • id: 72115028
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  • id: 72115029
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  • id: 72115030
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  • id: 72115031
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  • id: 72115032
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  • id: 72115033
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  • id: 72115034
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  • id: 72115035
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  • id: 72115036
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  • id: 72115037
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  • id: 72115038
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  • id: 72115039
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  • id: 72115040
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  • id: 72115041
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  • id: 72115042
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  • id: 72115043
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  • id: 72115044
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  • id: 72115045
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  • id: 72115046
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  • id: 72115047
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  • id: 72115048
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  • id: 72115049
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  • id: 72115050
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  • id: 72115051
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  • id: 72115052
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  • id: 72115053
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  • id: 72115054
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  • id: 72115055
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  • id: 72115056
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  • id: 72115057
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  • id: 72115058
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  • id: 72115059
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  • id: 72115060
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  • id: 72115062
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  • id: 72115063
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  • id: 72115064
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  • id: 72115065
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  • id: 72115066
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  • id: 72115067
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  • id: 72115068
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  • id: 72115069
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  • id: 72115070
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  • id: 72115071
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  • id: 72115072
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  • id: 72115074
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  • id: 72115075
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  • id: 72115076
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  • id: 72115077
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  • id: 72115078
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  • id: 72115079
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  • id: 72115080
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  • id: 72115081
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  • id: 72115082
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  • id: 72115083
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  • id: 72115084
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  • id: 72115085
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  • id: 72115086
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  • id: 72115087
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  • id: 72115088
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  • id: 72115089
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  • id: 72115090
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  • id: 72115091
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  • id: 72115092
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  • id: 72115093
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  • id: 72115094
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  • id: 72115095
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  • id: 72115096
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  • id: 72115097
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  • id: 72115098
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  • id: 72115099
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  • id: 72115100
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  • id: 72115101
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  • id: 72115102
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  • id: 72115103
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  • id: 72115104
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  • id: 72115105
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  • id: 72115106
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  • id: 72115107
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  • id: 72115108
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  • id: 72115109
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  • id: 72115110
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  • id: 72115111
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  • id: 72115112
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  • id: 72115113
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  • id: 72115114
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  • id: 72115115
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  • id: 72115116
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  • id: 72115117
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  • id: 72115118
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  • id: 72115119
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  • id: 72115120
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  • id: 72115121
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  • id: 72115122
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  • id: 72115123
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  • id: 72115124
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  • id: 72115125
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  • id: 72115126
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  • id: 72115127
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  • id: 72115128
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  • id: 72115129
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  • id: 72115130
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  • id: 72115131
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  • id: 72115132
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  • id: 72115133
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  • id: 72115134
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  • id: 72115135
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  • id: 72115136
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  • id: 72115137
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  • id: 72115138
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  • id: 72115139
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  • id: 72115140
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  • id: 72115141
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  • id: 72115142
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  • id: 72115143
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  • id: 72115144
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  • id: 72115145
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  • id: 72115146
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  • id: 72115147
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  • id: 72115148
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  • id: 72115149
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  • id: 72115150
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  • id: 72115151
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  • id: 72115152
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  • id: 72115153
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  • id: 72115154
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  • id: 72115155
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  • id: 72115156
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  • id: 72115157
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  • id: 72115158
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  • id: 72115159
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  • id: 72115160
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  • id: 72115161
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  • id: 72115162
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  • id: 72115163
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  • id: 72115164
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  • id: 72115165
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  • id: 72115166
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  • id: 72115167
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  • id: 72115168
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  • id: 72115169
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  • id: 72115170
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  • id: 72115171
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  • id: 72115172
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  • id: 72115208
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  • id: 72115312
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  • id: 72115313
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  • id: 72115315
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  • id: 72115316
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  • id: 72115319
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    {'hecke_orbit_code': 4503599694479408, 'n': 989, 'trace_an': 32}
  • id: 72115989
    {'hecke_orbit_code': 4503599694479408, 'n': 990, 'trace_an': 0}
  • id: 72115990
    {'hecke_orbit_code': 4503599694479408, 'n': 991, 'trace_an': -11728}
  • id: 72115991
    {'hecke_orbit_code': 4503599694479408, 'n': 992, 'trace_an': 0}
  • id: 72115992
    {'hecke_orbit_code': 4503599694479408, 'n': 993, 'trace_an': -23412}
  • id: 72115993
    {'hecke_orbit_code': 4503599694479408, 'n': 994, 'trace_an': 0}
  • id: 72115994
    {'hecke_orbit_code': 4503599694479408, 'n': 995, 'trace_an': -71792}
  • id: 72115995
    {'hecke_orbit_code': 4503599694479408, 'n': 996, 'trace_an': 0}
  • id: 72115996
    {'hecke_orbit_code': 4503599694479408, 'n': 997, 'trace_an': 50974}
  • id: 72115997
    {'hecke_orbit_code': 4503599694479408, 'n': 998, 'trace_an': 0}
  • id: 72115998
    {'hecke_orbit_code': 4503599694479408, 'n': 999, 'trace_an': -810}
  • id: 72115999
    {'hecke_orbit_code': 4503599694479408, 'n': 1000, 'trace_an': 0}