Newform data - 169.4.a.k

Formats: - HTML - YAML - JSON - 2024-04-16T04:49:40.964789

• 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': 2704, 'analytic_conductor': 9.971322790970163, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[13, -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': [169, 1, [2], [1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 9, 'field_disc': 43106219499827449, 'field_disc_factorization': [[7, 6], [366396820201, 1]], 'field_poly': [-4096, 3584, 4784, -3203, -1501, 680, 145, -46, -4, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [344, 1464, -5898, -1257, 2310, 486, -205, -42, 5, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45035996340813993, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 169, 'hecke_ring_index_factorization': [[13, 2]], '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': True, 'label': '169.4.a.k', 'level': 169, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [13], 'level_radical': 13, 'minimal_twist': '169.4.a.k', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{2}+\\beta _{2}q^{3}+(5+\\beta _{5}+\\beta _{6}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 9, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '169.4.a', 'trace_display': [-5, 1, -30, -38], 'trace_hash': 2236405015443805886, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.958', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '193.697', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7793.131', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 'traces': [9, -5, 1, 37, -30, -48, -38, -60, 66, -147, -181, 39, 0, -147, -218, 269, -55, -79, -161, -370, -188, 340, -204, -798, 307, 0, -668, -344, 280, 521, -706, -680, -500, -216, 20, -909, -298, -739, 0, 13, -1201, -4, -533, -355, 90, 840, -956, -132, 403, 1156, 470, 0, -278, 2555, -250, 250, 810, 2877, -1377, 3157, -136, 2035, 944, 284, 0, 3279, 931, -1536, -2050, 4854, -2046, 4342, 45, -1990, 2393, 3608, -718, 0, 412, 787, -835, 2757, -3709, 1539, 2106, -125, -786, -636, -1663, -1280, 0, 4010, 1186, -2531, -1614, 3084, 1087, 282, -1357, 300, 1660, 4441, 3594, 0, -4318, 1888, 1975, -646, -2396, 289, -4842, 4041, -1815, -3336, -1846, -4786, 0, -2745, -5942, 1433, -886, -48, -412, -3100, -5382, 4009, 340, -6544, 2490, 0, -821, -1973, 4240, 2507, -5244, -1988, -51, 2683, 10161, -6461, -4834, -867, 0, -6956, -3780, 6411, -467, 555, -5998, -2477, -3348, -8685, -5023, -3828, 332, 0, -5134, -543, -6064, 3159, -8358, -5496, -4237, -16883, 1724, -2558, -12362, 8252, 0, 8179, -8438, -2772, 6490, -136, -2826, -4536, 8509, 4986, 27, 1370, 646, 0, 20, 1689, 13362, -1246, 5513, 1608, 10292, 9930, -4146, 4727, 15601, -8094, 0, -720, 5650, -671, -8890, 443, 11223, 4311, -3958, 7720, 2814, -8034, -402, 0, 5258, 10718, -13991, -4425, 22156, 9442, -10868, 6778, -5674, 7350, 11117, 3375, 0, 414, 15166, -4654, 6894, -4806, -11549, 12751, 12590, -13799, 8764, 18234, -10583, 0, 6710, -18167, -5902, -12828, -12068, 11328, 15874, -11499, -4335, 6355, 14540, 8993, 0, 12878, 21622, -2461, 4069, -2601, 23906, -2839, 806, -163, -1099, 19365, -6152, 0, 5328, -7498, -394, 1299, 25082, -11904, 475, 10846, -22180, 5224, -12960, -17289, 0, -14861, -3697, -14716, 15824, -17260, -3368, 13536, -111, 8157, -8659, -14059, 2562, 0, 18404, 16561, 5680, -17456, 11704, -19452, 13118, -2900, 14562, 27144, 5729, 41461, 0, -20659, 6486, 10578, -21182, 5884, 9142, -29744, 4621, 15503, -17046, -21218, -20808, 0, -863, -21005, -2842, 9333, 2206, 4493, -10822, -22772, 5822, -6139, -772, -643, 0, -13050, -26764, 32678, 29480, -20077, -1708, -36666, 37864, -12104, -16022, -25873, -1983, 0, 17831, 8162, 7108, 14513, 2042, -23256, 28392, -30090, 25488, -47021, 6098, 189, 0, -16470, 8653, 20002, -18636, -32140, 15822, -5764, -41724, 223, -13226, -47489, 32672, 0, -19558, -47612, -42406, -3864, -1548, -27284, -41702, -32905, -8210, 15354, -5668, -13265, 0, -20929, -3775, 503, 30490, -34914, -39096, -801, 28030, 15271, 6548, 7781, -14214, 0, 11488, -20100, 42548, -2694, -7548, -10739, 11558, 28670, 12184, -15647, -6083, -13008, 0, -7215, 31020, -10365, -4416, 32850, 18741, 32969, -22067, 5289, -6338, -4147, -2882, 0, -21970, 23924, 1462, -24153, 6834, 48676, -460, 35981, -43653, 27798, -7260, 35326, 0, 25015, -39278, -12585, -5871, 51485, 6924, -26604, 3632, -11888, 16616, 57785, -40176, 0, 3435, 15421, 1382, 6443, -24358, 46433, 21867, 13902, 6502, 34362, 33412, -5047, 0, 36611, 17220, 748, -39149, -18042, -20584, -6842, -4700, -4135, 42302, 37752, 61319, 0, -30008, 59985, -47940, -7688, 43798, -28254, -10453, 23449, 1264, -22257, -9060, -14068, 0, 27731, 46604, -28749, 17508, 14844, -7038, 78034, 4882, -20565, -19583, -9736, -16956, 0, 38940, -32441, -2520, 10898, -11639, 76726, 34366, -56363, -10660, 9191, 9594, -46203, 0, 55534, 502, -23008, 26594, 21419, 43310, 44650, 10062, -30103, 25842, 114862, -27158, 0, 14163, -665, 67363, -539, -9226, -76358, -41080, 45260, -9625, -59313, -30035, -4364, 0, 30661, -47148, -61248, 21150, 63067, -10669, -30941, -5142, 58526, 67134, -32679, 68184, 0, -11691, 125093, 29170, 13835, -73758, -55535, 8244, 82464, 34178, 64820, -11738, 32827, 0, -36727, -53431, -34664, -70630, 6633, -3598, 25787, -44614, -71756, -7141, -11155, -3963, 0, -48792, -5133, -9450, 15290, -6777, 156308, -65682, -59295, 16946, -45568, -1636, 8206, 0, -8459, -14435, 75485, -27836, 97687, -60992, -38245, 27891, -34521, -7622, -40735, -16374, 0, -28500, -45956, 7653, -21629, -38325, 10448, 17244, -36252, 28536, -73940, -16358, -56664, 0, -22497, 15556, 629, -21298, -62594, -37159, 24011, -39852, 74313, -28130, -52143, 49930, 0, -54355, 5801, -963, 47950, -34410, -29317, -45018, 77620, -2172, 20806, -40066, -12369, 0, -66518, -80172, 135730, 5585, -104253, -7493, 31866, -64246, 65061, -31078, -3151, 3052, 0, -14744, -136506, -26568, 75754, -38098, -98595, -47013, -5136, -34261, -64682, -52532, -63848, 0, 67013, 5320, -43117, -13390, 47186, 1148, -120483, -89732, -36057, -71899, 43212, 26580, 0, 25092, 27541, -54572, 56208, -27205, -41974, 24493, -57078, 23272, 38217, -56002, 45352, 0, 28275, -6063, 29714, -48582, -15362, -15350, -37292, -2218, -3752, -14085, -38255, 62540, 0, -47634, 63227, 23670, 64122, 34958, 28813, 22868, 141386, 33370, -1683, 21450, -33777, 0, -80294, 19386, 43356, 51304, 16496, 54704, 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35118, -166066, 5970], 'weight': 4, 'weight_parity': 1}
• mf_hecke_nf •

  Column	Type
  an	jsonb
  ap	jsonb
  char_orbit_index	smallint
  field_poly	numeric[]
  hecke_orbit_code	bigint
  hecke_ring_character_values	jsonb
  hecke_ring_cyclotomic_generator	integer
  hecke_ring_denominators	numeric[]
  hecke_ring_inverse_denominators	numeric[]
  hecke_ring_inverse_numerators	numeric[]
  hecke_ring_numerators	numeric[]
  hecke_ring_power_basis	boolean
  hecke_ring_rank	integer
  label	text
  level	integer
  maxp	integer
  weight	smallint

  
  {'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 1, 1, 0, 1], [-2, -3, -1, -1, 1, -1, 0, 0, -1], [-6, -1, -1, -1, 0, 0, -2, 0, -2], [-4, -1, -1, 1, -2, -1, 0, 0, 2], [-9, 4, -1, 4, 0, -1, 0, 0, 0], [7, -1, -2, 3, -1, 0, -1, -1, -1], [-16, -6, 1, 2, -3, -1, -2, 2, 1], [-21, 2, -2, -2, 0, 3, -2, 0, -1], [10, -14, -2, -3, 3, -2, -3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0], [-10, -9, -1, -2, 4, -3, 4, -4, -4], [-20, 3, -1, -3, 4, 1, 9, 1, 1], [37, -7, -4, -8, -5, 1, 7, 0, 2], [-7, -8, 2, -2, 5, 1, -7, 5, -7], [-5, 3, 2, -6, -5, 1, 9, -2, 5], [-14, -4, 1, 0, 0, 3, -1, 1, 10], [-36, -15, 8, -6, 10, -3, -5, -6, -9], [-24, 4, 2, 14, -5, 10, -1, 3, 2], [43, -15, 10, 3, 8, -3, -4, 0, 3], [-22, 8, -6, 0, 1, 14, 2, 0, -3], [-94, -3, 11, 5, 1, -9, -7, 6, 6], [25, 23, 9, 3, -4, 3, 1, -7, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0], [-83, 29, 6, -1, -4, -6, 6, 0, 19], [-46, 1, 4, 10, -25, 12, 0, 8, -5], [16, 29, 3, 3, -6, -5, 6, 0, -8], [50, 22, -9, 34, -16, 6, 11, 8, 17], [-82, 21, 7, -1, 2, -1, 12, -8, -4], [-89, 18, 17, 10, 7, -18, 1, -10, -12], [-59, 24, -23, -22, -4, -2, 3, -5, 5], [-19, -37, 10, -23, 25, -6, -29, 10, -9], [-20, 40, -12, -12, -1, -4, -17, 1, 8], [-115, 31, 12, 16, 2, -12, 12, -2, -3], [-12, -28, -16, 14, 9, 4, 13, -11, -12], [-90, -4, -7, -2, 20, -8, -21, 0, -18], [0, 0, 0, 0, 0, 0, 0, 0, 0], [-8, -18, -9, -24, -22, 16, -35, 4, -15], [-150, 14, 3, 6, -2, -21, -12, 2, 7], [20, -6, -2, -26, 25, -5, 19, -10, -2], [-70, 14, 3, -2, -25, 21, -5, -5, -11], [-63, 0, -7, -15, -11, -17, -29, 16, -15], [26, -42, -42, -14, 13, 8, -20, 10, -11], [82, 39, 20, 26, 5, -4, 12, 2, 27], [-92, -25, -23, 1, -25, 7, 10, 4, 5], [6, -42, -9, -33, 10, 23, -3, 2, -37], [55, -25, -5, -41, 39, -27, -19, 7, 6], [113, 53, -9, -2, -26, 22, 11, -8, 5], [49, 44, -11, 4, -8, -24, 40, 8, 30], [0, 0, 0, 0, 0, 0, 0, 0, 0], [-18, -18, -12, -12, 36, -6, 13, 3, -43], [325, -49, -32, 8, 10, 26, 18, -8, -5], [-50, 37, 19, 83, -38, 19, 7, 7, 37], [30, -4, 36, -4, 55, -35, -1, -18, -18], [113, -34, -43, 40, -4, 21, -1, -1, 18], [346, 25, -3, 4, -16, 25, 60, -12, 28], [-158, -49, 30, 1, 8, -13, -22, 22, -34], [354, 85, -23, -4, 7, 2, 51, -40, 20], [4, 6, 16, 52, 17, -18, 51, -13, 18], [248, -27, -17, 38, -72, 33, 32, 4, 34], [86, 27, 27, -15, 34, -33, -15, 13, 17], [49, -71, -9, 22, -66, 62, -27, 14, 15], [0, 0, 0, 0, 0, 0, 0, 0, 0], [381, -7, 39, 79, 2, 1, 33, -8, 43], [102, 45, 28, -57, 37, -3, -9, -31, 22], [-185, -76, 4, -51, 26, -22, -115, 10, -4], [-212, -15, -39, -101, 15, -57, -10, -6, 27], [576, -26, 30, -20, 57, 29, 3, -2, 24], [-264, 11, 71, -11, -27, 17, -27, 23, -26], [543, -117, -67, 30, -29, 57, 4, 20, 4], [-52, 85, 50, 5, -45, -39, 19, 15, 2], [-232, 44, -4, 42, -121, 11, 57, 18, 72], [226, 15, 36, -3, -18, 11, -64, -36, -34], [434, -120, 12, -60, -22, 18, -22, 32, -35], [-32, -40, 24, -50, 31, 22, 65, -15, -76], [0, 0, 0, 0, 0, 0, 0, 0, 0], [44, -5, -3, 77, 3, 9, -5, 21, 38], [56, -17, 57, 12, 79, -82, -57, 4, -20], [-62, -124, -85, -8, 27, 74, -72, 32, -81], [438, -237, -23, -74, 18, 35, 12, -4, -11], [-444, -21, 88, 85, -10, -16, -25, 13, -10], [100, 84, -35, 4, -79, -47, -26, 26, 37], [182, 167, 21, 65, -90, 43, 88, -38, -24], [14, -67, 61, 12, 47, -54, 9, -50, -33], [-132, -30, 36, -38, -3, -18, -71, 11, -88], [3, -127, -20, -107, 79, -12, 1, -22, -77], [-210, 42, -9, -44, -18, -46, -17, -29, 13], [-158, -5, 82, 8, 75, -48, -36, 26, 35], [0, 0, 0, 0, 0, 0, 0, 0, 0], [418, 96, -46, -42, -35, -35, 31, 10, 42], [150, -86, -96, -68, 35, -18, -67, -27, -82], [-226, -92, 39, 54, 61, -85, 56, -50, -27], [-206, 140, 12, -4, -16, 14, 37, -55, 37], [298, 38, 7, 47, 7, -8, -36, -28, -53], [157, -96, 54, 68, 87, -17, -20, 6, 8], [-33, -26, -7, -4, 15, 32, -153, 78, -10], [-121, -50, -38, -70, 20, 18, 14, -14, -100], [47, 51, -29, 52, 51, -39, 80, 4, 7]], 'ap': [[-1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0], [-2, -3, -1, -1, 1, -1, 0, 0, -1], [-4, -1, -1, 1, -2, -1, 0, 0, 2], [-21, 2, -2, -2, 0, 3, -2, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0], [-7, -8, 2, -2, 5, 1, -7, 5, -7], [-14, -4, 1, 0, 0, 3, -1, 1, 10], [-22, 8, -6, 0, 1, 14, 2, 0, -3], [16, 29, 3, 3, -6, -5, 6, 0, -8], [-82, 21, 7, -1, 2, -1, 12, -8, -4], [-12, -28, -16, 14, 9, 4, 13, -11, -12], [-150, 14, 3, 6, -2, -21, -12, 2, 7], [-70, 14, 3, -2, -25, 21, -5, -5, -11], [-92, -25, -23, 1, -25, 7, 10, 4, 5], [-18, -18, -12, -12, 36, -6, 13, 3, -43], [-158, -49, 30, 1, 8, -13, -22, 22, -34], [4, 6, 16, 52, 17, -18, 51, -13, 18], [102, 45, 28, -57, 37, -3, -9, -31, 22], [-264, 11, 71, -11, -27, 17, -27, 23, -26], [-52, 85, 50, 5, -45, -39, 19, 15, 2], [44, -5, -3, 77, 3, 9, -5, 21, 38], [-444, -21, 88, 85, -10, -16, -25, 13, -10], [-210, 42, -9, -44, -18, -46, -17, -29, 13], [157, -96, 54, 68, 87, -17, -20, 6, 8], [164, 5, -39, 89, -5, -45, 1, 47, 38], [416, -82, -76, -14, -64, -4, -9, 27, -21], [180, 131, 48, 41, 13, -24, 19, 35, 137], [-246, -72, -102, -152, 94, -44, -76, 32, -46], [-142, -38, 11, -164, 88, 54, -51, -51, 25], [68, 59, 93, -27, 29, 7, 52, -26, 121], [-116, 13, 106, -89, -81, 6, 2, -2, -8], [184, -121, -126, -115, 67, 153, 84, -46, 57], [1213, -88, -92, 80, -39, 43, 59, -53, 21], [-828, 453, -33, 69, -118, -73, 63, -41, 221], [-390, 144, 126, -52, 75, 108, 64, -70, -137], [-412, -189, -205, 77, -134, -3, 92, -2, 222], [-533, -146, -38, -6, -179, -93, -129, -29, -93], [-1246, -126, 62, -158, 94, 90, 4, -16, 66], [910, -320, -152, -76, 2, -96, 72, -48, -2], [-57, -100, 136, 268, 78, 33, -81, -3, -220], [288, -297, 133, -53, -26, -135, 125, -95, 235], [-140, -524, -246, -256, 56, -52, 161, 13, -169], [1734, 68, -225, -176, 87, -61, -44, 16, 16], [706, -26, -202, 130, 101, 218, -104, -22, 131], [-1064, -18, -44, -266, 253, -4, -219, 15, -330], [-1759, 678, 30, 134, -208, 277, 116, -190, 27], [1554, 295, -51, -119, -260, 99, 10, -58, -2], [-1034, -225, -122, -335, 17, -253, 373, 63, -4], [1384, -170, -230, -232, 24, -216, -133, 1, -179], [-1254, 272, 121, 354, 138, -132, 159, 47, 153], [-1166, -497, 39, -179, 334, 45, -161, 71, -263], [1364, 407, 287, -3, -95, -153, -302, 158, 167], [553, -485, -231, 53, -319, -84, -196, 72, 262], [-160, 547, -14, -167, -71, 258, 388, -10, -140], [258, -952, -460, -56, -79, -246, -291, -209, -106], [-2946, 781, 221, 499, -357, 189, -48, -80, -61], [-1632, 322, 162, 106, 108, -172, 179, 259, -121], [1284, 960, -178, 206, -212, 256, -177, 5, 115], [-45, 312, 576, 298, -276, 381, 221, -117, 250], [-1398, 434, 209, 218, -221, 87, -556, 84, 450], [1514, -183, 45, 125, 210, 109, 47, 103, -337], [437, 175, -27, 653, -231, -328, 126, -106, 520], [-2254, -589, -85, 701, -278, -163, -172, 60, 236], [107, 375, 209, 315, -32, 224, 803, -209, -82], [316, 150, -132, -54, -108, -294, 402, 202, 326], [272, -414, -426, -190, -328, 402, 383, -161, -59], [52, 19, -284, -781, 706, -454, -33, -163, 382], [2776, 552, 64, 344, -640, 92, 471, -17, 645], [732, 794, 454, 88, -303, 566, 631, -257, 322], [195, 636, 854, 260, 139, -99, -498, 308, -356], [-4808, -6, -154, -30, 13, -368, -346, 20, 189], [-4678, -181, 629, -1035, 734, -377, 31, -81, -913], [-928, 202, -214, -1080, 894, -372, -461, -227, -141], [172, -1386, 351, -246, 165, -238, 155, 217, -78], [-4484, 8, 320, 876, -398, 144, 260, 96, -186], [-1496, -622, -292, -670, 20, 288, -542, -338, -912], [1444, -955, -349, -871, -207, 141, -471, 87, -706], [-227, -1004, 448, -612, -100, -167, 330, 134, -329], [1914, 750, 785, 50, 422, -368, 378, -348, 2], [378, -367, 267, -721, 267, 121, -259, -189, -50], [410, 1688, 82, 550, -12, 820, 413, 179, 665], [-4282, 240, -860, 592, -775, -56, 374, -28, 771], [-166, -1314, -147, -302, 358, -804, 164, -334, -880], [1242, 1081, -1207, -325, -798, 5, -281, -197, -165], [551, -1155, -265, 923, -729, 580, -232, 340, -266], [2954, -548, 1047, 182, -197, -27, 1041, 291, 311], [2728, -1809, 387, -609, 239, -451, -419, 59, 1046], [-2368, -258, -224, -228, 508, -752, -737, 225, 837], [-194, 814, -304, 378, 203, -530, 1013, -525, 918], [6816, 250, 125, 374, 37, 410, -125, 261, 826], [-812, -205, -283, 245, -52, 971, 251, -129, -1103], [-2020, 1941, -619, 191, -626, 207, -454, -306, -882], [-2948, 178, 511, -262, -418, -1398, -793, -425, -17], [-1079, -758, -622, -1046, 962, 141, -723, 451, -592], [-1174, -1263, 265, -81, -992, 391, -561, -197, -861], [-758, 1302, 320, 1368, 258, 276, -713, 73, 751], [2212, -1369, -420, 665, -458, 483, -208, 356, 1004], [6583, 989, 251, 471, -155, -36, -1003, -87, 391], [-836, 728, -1398, -392, -715, -32, 534, 560, -391], [-2002, 923, 712, 1041, 24, 227, -109, -125, -599], [-1380, -531, 239, -295, 706, -869, -143, 629, -353], [-8522, 1711, -279, -219, -519, -165, 952, 586, -495], [-932, -805, -806, -1329, 389, -457, -1207, 129, -690], [-408, -194, 31, 162, -1172, 1082, 383, 243, -579], [-2302, 2388, 2087, 302, -298, 489, -99, 417, -576], [-1068, -437, 894, 1913, -132, -38, 1652, 30, -163], [3081, -513, 523, 1025, -109, 1354, -714, 90, -60], [-2800, 680, -536, -1492, 1047, 854, -403, -369, 532], [1854, -2168, -941, 980, -176, 119, 656, 130, -925], [3088, 1275, -103, -151, 831, 29, 753, 419, 104], [1796, -886, -1148, -1384, 374, -18, -685, -495, -2215], [-4352, -1601, -406, 797, -424, 1247, -2120, -12, -606], [-3436, -2340, 960, -464, 924, 620, -459, 817, 223], [-5594, 1871, -1167, 1753, -1361, 89, 477, -473, 1216], [1118, -1208, 361, 1026, -1108, 455, 135, 479, 1378], [-232, -2125, -760, -1359, 323, 516, -324, 1080, -1718], [-3602, 946, 718, -646, -86, -1748, 1180, -576, 156], [-5436, 2595, 1003, -1613, 322, -1177, -1637, 431, -1733], [-3756, -986, -1687, -1174, 723, -74, -1318, 152, -1035], [-5294, 379, -657, 2681, -495, 767, 1148, 28, 1673], [-8100, -369, -1644, -661, -38, 977, -1455, 859, 439], [1940, 2238, -14, 3722, -98, 1476, 318, 466, 966], [1750, 2884, -289, -1028, -966, -1007, 805, 127, 1228], [-822, 1810, -839, -850, -370, 3103, -357, -127, -38], [7688, -2166, -1106, -2530, 1043, -602, -1160, -338, -1283], [1722, -597, 187, 2053, -697, 809, -1990, -54, 55], [5618, 315, 1799, -791, 373, -777, 1104, -434, -1475], [-7682, -1027, -251, 675, -644, -1655, 508, -144, 536], [-3242, 710, -582, -2400, 958, -18, 749, -1009, 355], [7702, -2769, 250, -2339, 2603, -1889, -2212, -402, -2273], [-2836, -1067, 87, 71, 2076, -291, -1034, 90, -1682], [11880, -212, 1976, -2000, 212, 362, -138, 298, -716], [5734, -1894, -2798, -222, 301, 674, -682, 664, 393], [-9417, 563, -535, 2075, -28, 156, 1203, 223, -2570], [-3355, -296, -1236, -438, -296, -1809, 1083, 233, 1822], [-1102, 3648, 206, 1118, 16, -370, 273, 1087, 471], [13665, -2404, -1748, -192, 203, 691, 1317, 281, 1325], [6074, 3109, 1143, -973, 240, -331, 1568, 374, 746], [-1754, -3072, 1259, 96, 1159, 487, -1716, 44, -1236], [7805, -3360, -356, 1008, 479, -1117, 1362, 422, 644], [394, -2644, -2546, -374, -1317, -154, -2129, -13, -342], [3364, 638, -836, 834, 681, 558, -258, -64, 2539], [9856, 1458, -81, 406, 498, -626, -2383, -623, -607], [400, -2092, 186, 874, 1059, -262, 525, 9, -2968], [-15322, 1522, -40, -2522, 516, -1268, -1784, 1372, -518], [-7030, 402, -1984, -1462, 812, 110, -2108, -324, -1208], [-3637, 2381, 2953, 705, 2335, 404, 999, -371, 473], [10778, -2719, -444, -165, 135, -511, -736, 2214, 99], [2398, 536, -496, -1984, 845, -1430, -2110, 1328, -363], [2954, 3297, 295, 151, 338, 391, 1042, 420, -604], [5697, -1325, -1981, -3189, 1937, -1172, 1867, -943, -111], [-3663, -708, -1328, -1828, 22, -1013, -1997, 633, 34], [-5464, 5177, -87, -1153, -898, 1753, 241, -183, 2757], [-4760, 2100, -991, 4040, -2349, -572, 390, 520, 1025], [1584, -4518, 68, 2006, -2370, 1852, -827, -487, -2105], [4262, -2468, -2796, -448, 768, 2736, -985, 911, 2309], [-12888, 3349, 1182, 1385, -1237, 1088, 3679, -1005, 2393], [-1448, -1437, -2016, -973, 1172, -798, 2093, -1145, 966], [-1286, 1700, 1442, -1232, 2939, 508, 1168, -466, 805], [12914, 864, -1261, 1160, 584, 609, 1796, -930, 619], [-3100, -3149, 608, -2427, 2211, -2372, 1810, 356, -1014], [2984, -2127, -1121, 1371, -2272, 1433, -889, 227, 2837], [-15010, -6992, 839, 2192, 2030, -1579, -460, -446, -531], [-4310, 3964, 1989, -346, -1194, 1243, 625, 229, -2262], [4414, -4741, -1463, 485, 1933, 1871, 1668, -254, -651], [-6848, 1454, 3368, 966, -1038, 924, -1929, 1639, -3419], [11298, -2659, 1893, -585, -2038, -1689, -2678, 1572, 2000]], 'char_orbit_index': 1, 'field_poly': [-4096, 3584, 4784, -3203, -1501, 680, 145, -46, -4, 1], 'hecke_orbit_code': 45035996340813993, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 8071424, 4035712, 504464, 8071424, 8071424, 8071424, 4035712], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0], [12, 2, 0, 0, 0, 1, 1, 0, 1], [12, 23, -1, 4, 0, 2, 3, 0, 3], [260, 77, -8, 8, -5, 27, 37, 0, 32], [604, 636, -45, 138, -18, 75, 166, -10, 128], [6752, 2746, -339, 490, -299, 748, 1315, -46, 1004], [23360, 19224, -1762, 4588, -1299, 2684, 6896, -644, 4677], [192772, 95033, -12178, 21190, -12940, 21858, 46550, -3242, 32278]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0], [-149293824, 52058000, 91159455, -12738943, -11530440, 728955, 501446, -12396, -6901], [-6050816, -22791952, 16793257, 4265751, -3297016, -384275, 195178, 11372, -3843], [-646464, -1604391, 252488, 485407, -171803, -72705, 19422, 2737, -595], [-92826880, -97179408, 67400873, 38793527, -14845688, -3803155, 1059978, 103372, -23843], [-122506496, 12391680, 111900273, 12527327, -23878504, -2570427, 1548474, 90940, -32107], [-202361088, 51740944, 217315329, 3078399, -46218904, -2210427, 2837370, 88524, -53515], [59238144, 34322440, -85614861, -25660427, 19362096, 3186791, -1304226, -97156, 27975]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 9, 'label': '169.4.a.k', 'level': 169, 'maxp': 997, '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': [[[[13, -1]], 15, 5], [[[13, 1]], 18, 7]], 'ALdims': [18, 15], 'Nk2': 2704, 'analytic_conductor': 9.971322790970163, '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': [169, 1, [2], [1]], 'conrey_index': 1, 'cusp_dim': 39, 'dim': 33, 'eis_dim': 14, 'eis_new_dim': 11, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 67109033, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 9, 9], 'label': '169.4.a', 'level': 169, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [13], 'level_radical': 13, 'mf_dim': 53, 'mf_new_dim': 44, 'num_forms': 12, 'plus_dim': 18, 'prim_orbit_index': 1, 'relative_dim': 33, 'sturm_bound': 60, 'trace_bound': 3, 'trace_display': [4, 2, 10, 22], 'traces': [33, 4, 2, 110, 10, -12, 22, 48, 159, -78, -54, 150, 0, -186, -16, 274, -98, 220, 210, 100, 212, -136, -144, -588, 581, 0, -520, 96, 188, 226, -110, 208, -76, 520, -164, -258, -78, -482, 0, -202, -106, 220, -226, 620, 334, -476, -330, -72, -211, -236, 184, 0, 380, 84, -212, 344, -1488, -1204, 662, -1008, 916, 1706, 1846, -908, 0, 2406, -546, -2148, -1844, 580, 122, -360, -554, -1256, 670, 2120, -1148, 0, -148, 692, -839, 2070, -1650, -2956, 712, -2364, 1152, -120, 1910, -2740, 0, 3208, 720, -478, -1092, 1268, 858, -220, 702, -1596, -964, -2332, 1044, 0, -1388, -2356, -814, 280, -1894, 732, -1312, 2384, -966, -360, -276, -1004, 0, -2802, 2676, 2050, -4469, 1864, 3488, -3344, -2112, -1630, 4760, -4240, 8256, 0, -2998, -2700, 7664, 4330, 824, 1904, 6226, 5716, 9618, -6814, -4908, 1530, 0, -9484, -1456, 162, -730, 2916, 2046, -40, 7094, -10014, -5030, -1972, -92, 0, 436, 6684, -3416, -306, 756, -3236, -4246, -6704, 1780, -1564, 910, 2620, 0, 12782, 162, 1188, 18158, 1548, -1774, 5404, 2024, 10536, 2766, 1648, 344, 0, -4412, -5148, 12702, -6932, 2976, 4336, 2804, 4432, -5796, -2666, -2286, 2016, 0, -4632, 226, -8494, -8900, -4056, -2740, 264, -10240, 11696, 7122, 5828, -2556, 0, 4360, -1776, -8182, 4362, -5500, -3376, -2192, 1236, -4532, 5076, 6176, -3402, 0, 6060, 4474, -8408, -4845, -7792, 170, -13264, -1294, -13738, 7220, 5220, -9196, 0, 2716, 2656, -1436, -8652, 6482, -4112, 1214, -12316, -918, 842, 198, -9938, 0, 8392, -11692, 994, 5390, -2808, -9112, 12228, -2448, -2750, -7154, 9120, -16852, 0, 14208, 1468, -4196, -16026, -3456, 12200, -16424, -5916, -27014, -3220, 4558, -18498, 0, -11434, 7810, -10016, 5860, -16292, -7142, 2292, 1150, 10326, -7514, 1352, 4968, 0, 6340, 11800, -11293, -16924, 15764, -2280, 5754, 11336, 1020, 49392, -11572, 71210, 0, -38486, -14692, 30396, -3124, 5496, -364, 10960, 5294, 39382, -28524, -6848, -12312, 0, -16936, -7136, -15176, 16914, 8878, 13508, -10164, -1612, -10736, -7910, 5876, -9074, 0, 26988, -2288, 22996, 18628, -6764, -938, 13636, -138, -1984, 68, -8780, -16506, 0, 36946, 8260, 12320, 41398, 1172, 4756, 8652, 9988, 45264, -34294, -25926, 11850, 0, 12084, 12882, 55244, -3756, 21008, 1796, -14804, 10254, -15226, -37309, -4804, 63640, 0, -39002, -8592, -58724, 20412, -562, 3896, -8952, 25232, -8800, 36228, 1992, -23122, 0, -53582, 8662, -13958, 11876, 7060, -9606, 7988, 228, 8102, 46780, -8756, -12960, 0, 6524, -16512, 29356, -36300, 7276, 12584, 15486, -7060, -24244, -35362, -13174, 7080, 0, -5454, -4670, -2874, -27756, -30172, 9146, -10768, 3844, -6666, -20560, 1240, -328, 0, 2092, 34856, 22556, -34254, -1326, 17804, -20730, -16812, -52620, 5472, 12276, 12200, 0, 13346, -18790, -11166, -31986, -8624, -2420, -652, -7128, 1868, 17032, 10220, -63129, 0, -16974, -11648, -4844, -7970, 22320, -8592, 20858, -21140, 15308, 16584, -2588, -20930, 0, 28198, -16786, -51904, -21238, -13796, -11222, -6348, -9050, -34322, 76756, 19560, 69202, 0, -31204, 1124, 13560, -4168, -31292, -57572, -20346, 9616, 80000, -51894, 32462, -12944, 0, 4654, 42612, -46158, 63552, 29520, 17466, -21872, -26748, -14526, -23758, 32608, -49818, 0, 68700, -23456, 17388, 32884, -17286, -19420, 40704, -1272, 12568, 3718, 3620, -62670, 0, 96560, 18630, -51320, 92572, -7408, 16032, 27952, 5788, 62158, 708, -828, -24700, 0, 68022, -19600, 110378, -19966, -27944, -26856, -19188, -29740, -49247, -74706, 28718, 59216, 0, 1178, -160, -84636, 26328, 21176, -9746, 600, 5410, 19744, 114540, 16528, 22488, 0, -68346, 12900, -4252, 11782, 13932, 1140, 8676, 8688, 47908, 112948, -10806, -43702, 0, -50882, -26012, -42232, -70028, 10228, -6748, -30648, 862, -120112, -90872, -32600, 69378, 0, -41148, -11792, 31596, -52604, -18258, 11420, 4212, -5260, 23548, -30560, -9572, 21404, 0, 6614, 25646, 74398, -63328, 12632, 64552, 16372, 34250, -98538, -15772, -55640, 15804, 0, -16164, 55704, -2298, -104254, -41286, 39544, -10102, -1440, 36480, -102820, -32660, -104232, 0, -41154, -5890, 25150, -65072, 52444, -29994, -24988, -9914, 28686, -34708, -9296, 29324, 0, -107363, -84984, -87942, 98108, 8824, 17680, 47542, 60908, -72312, 192788, 16636, 143010, 0, -153412, -27358, 245744, -38822, 51488, 21414, -37852, 6076, 158646, -27764, -48792, -3904, 0, -4924, 29668, -70638, 204440, 7888, -31584, 23014, -11504, -24902, -100924, 17142, -70912, 0, 164602, 10248, -23930, 1516, -44144, 57540, -18940, 60244, -87342, -33866, -67128, 16308, 0, 162642, 88640, -138664, 153132, 1912, -6080, -31486, 55664, 140666, 47886, -1488, 42572, 0, 128238, 15202, 154492, -5472, 5340, -21040, 50604, -20508, -66928, -119838, -3080, 127606, 0, -35928, -47300, -16440, 135228, -2156, -56600, -9298, -1820, 4112, 54510, 23776, -108582, 0, -129712, -42148, -7032, -24064, 15296, 33332, 22980, -76928, 128282, 129170, 35028, -125016, 0, -61797, -2816, -36132, -51402, -18926, 31508, 20736, 10116, -23900, -127762, -18810, 124902, 0, 24562, 3314, 47764, -134094, 34216, -50694, 35436, 14512, -74584, 74800, 2400, 34464, 0, -34364, -16492, 110754, -224292, 18680, 40032, -14978, -59708, -48732, 24330, 19348, 44668, 0, -39148, 24342, -160508, -41200, -3836, -43022, -18480, 3838, 148006, -53568, 94368, -118558, 0, 41228, -23628, 12096, -97198, -7236, -34632, -38162, -73964, -52400, 23840, 9676, -139516, 0, -135458, 17436, -110182, 76050, -84688, -13532, -19480, -10690, -193144, 70752, 83980, 121644, 0, 9488, 34064, 95182, -3688, -53022, 19716, -34388, 236, 132660, 93466, 25624, -3256, 0, 103036, -21918, -178366, 138964, -2876, -1024, 34432, 44454, -95686, -74380, 2380, -223444, 0, 129142, 52408, 9192, -80866, 4944, -93756, 36838, -47376, -137139, 56456, -43816, -37110, 0, 306452, -90346, -196614, 289856, -45232, -32548, 23780, -50462, 348204, -91688, -40432, -56650, 0, 122470, -20568, 180868, 25720, 36178, 28244, 520, 53912, -207600, -107694, 70144, 257684, 0, 27724, 79470, 52712, 142064, -7264, 36282, -69776, -32112, -104892, 230166, 10340, -81254, 0, -124024, -4084, 70884, -188150, 58164, 40872, -14454, -34872, 67712, 84590, -21240, -241182, 0, -264954, 41924, -128582, 60642, -35952, 11936, -96712, -5176, 6862, -84222, 43560, 206488, 0, 29088, -60816, 10500, -310514, -3408, -3940, -26372, 36164, 10580, -51314, -11256, -33900, 0, -50606, 14938, 139516, -164440, -59452, -102122, 46112, -32766, -67724, 65904, 3968, 37996, 0, -9946, -32124, -116412, -138706, 77386, 134224, 57040, 34800, 191204, -334818, -99326, -57980, 0, -191000, -110608, -86430, -137752, -56560, 17820, 57032, 86032, -31794, -23628, 21456, -128079, 0, -307460, 50312, -38474, 91448, 91586, 62928, -67024, 5116, -254838, 400504, -105764, 519786, 0, -191362, 14434, 569826, 24712, -28552, -40306, 135420, 41758, 442646, 29324, -35356, 4344, 0, 123696, 17160, -175108, 518224, 86732, 7208, -3140, 25556, -60044, -220656, -30040, -39180], 'weight': 4, 'weight_parity': 1}
• mf_twists_nf •

  Column	Type
  conductor	integer
  degree	integer
  multiplicity	smallint
  order	integer
  parity	smallint
  self_twist_disc	integer
  source_char_orbit	smallint
  source_dim	integer
  source_hecke_orbit	integer
  source_is_minimal	boolean
  source_label	text
  source_level	integer
  target_char_orbit	smallint
  target_dim	integer
  target_hecke_orbit	integer
  target_is_minimal	boolean
  target_label	text
  target_level	integer
  twist_class_label	text
  twist_class_level	integer
  twisting_char_label	text
  twisting_char_orbit	smallint
  weight	smallint

  
  
  • id: 141415
    {'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 9, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '169.4.a.k', 'source_level': 169, 'target_char_orbit': 1, 'target_dim': 9, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '169.4.a.k', 'target_level': 169, 'twist_class_label': '169.4.a.k', 'twist_class_level': 169, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
  • id: 141416
    {'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 9, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '169.4.a.k', 'source_level': 169, 'target_char_orbit': 1, 'target_dim': 9, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '169.4.a.l', 'target_level': 169, 'twist_class_label': '169.4.a.k', 'twist_class_level': 169, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 4}
  • id: 141417
    {'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 9, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '169.4.a.k', 'source_level': 169, 'target_char_orbit': 2, 'target_dim': 18, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '169.4.b.g', 'target_level': 169, 'twist_class_label': '169.4.a.k', 'twist_class_level': 169, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 4}
  • id: 141418
    {'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 9, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '169.4.a.k', 'source_level': 169, 'target_char_orbit': 3, 'target_dim': 18, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '169.4.c.k', 'target_level': 169, 'twist_class_label': '169.4.a.k', 'twist_class_level': 169, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 4}
  • id: 141419
    {'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 9, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '169.4.a.k', 'source_level': 169, 'target_char_orbit': 3, 'target_dim': 18, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '169.4.c.l', 'target_level': 169, 'twist_class_label': '169.4.a.k', 'twist_class_level': 169, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 4}
  • id: 141420
    {'conductor': 13, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 9, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '169.4.a.k', 'source_level': 169, 'target_char_orbit': 5, 'target_dim': 36, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '169.4.e.h', 'target_level': 169, 'twist_class_label': '169.4.a.k', 'twist_class_level': 169, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 4}
  • id: 141421
    {'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 9, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '169.4.a.k', 'source_level': 169, 'target_char_orbit': 1, 'target_dim': 9, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '1521.4.a.bg', 'target_level': 1521, 'twist_class_label': '169.4.a.k', 'twist_class_level': 169, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 4}
  • id: 141422
    {'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 9, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '169.4.a.k', 'source_level': 169, 'target_char_orbit': 1, 'target_dim': 9, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '1521.4.a.bh', 'target_level': 1521, 'twist_class_label': '169.4.a.k', 'twist_class_level': 169, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 436075
    {'charpoly_factorization': [[[344, 1464, -5898, -1257, 2310, 486, -205, -42, 5, 1], 1]], 'hecke_orbit_code': 45035996340813993, 'p': 2}
  • id: 436076
    {'charpoly_factorization': [[[-143717, -375830, 472696, -97525, -24453, 7245, 359, -154, -1, 1], 1]], 'hecke_orbit_code': 45035996340813993, 'p': 3}
  • id: 436077
    {'charpoly_factorization': [[[3059376152, -79067576, -128609278, 1389429, 1945112, 11193, -12686, -266, 30, 1], 1]], 'hecke_orbit_code': 45035996340813993, 'p': 5}
  • id: 436078
    {'charpoly_factorization': [[[-27715644424, -12058090668, -1223096892, 80750883, 15288900, 47784, -49156, -1023, 38, 1], 1]], 'hecke_orbit_code': 45035996340813993, 'p': 7}
  • id: 436079
    {'charpoly_factorization': [[[276199564381, -179311762994, 26882546428, 738228615, -167003035, -5844107, 165265, 10834, 181, 1], 1]], 'hecke_orbit_code': 45035996340813993, 'p': 11}
  • id: 436080
    {'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 45035996340813993, 'p': 13}
  • id: 436081
    {'charpoly_factorization': [[[5572934105557, -13634726454440, -8401319709328, -224267154861, 6767325927, 147895979, -1146115, -23436, 55, 1], 1]], 'hecke_orbit_code': 45035996340813993, 'p': 17}
  • id: 436082
    {'charpoly_factorization': [[[865058822963419, 17958379163746, -7470263773658, -8601436031, 7019204857, 20615523, -2116695, -11292, 161, 1], 1]], 'hecke_orbit_code': 45035996340813993, 'p': 19}
  • id: 436083
    {'charpoly_factorization': [[[68005016808744392, 1677405262433836, -96771175504120, -1742693252577, 41479717140, 357001151, -5407664, -29131, 204, 1], 1]], 'hecke_orbit_code': 45035996340813993, 'p': 23}
  • id: 436084
    {'charpoly_factorization': [[[56071014835079896, 5762250822516012, 56291593140298, -6977746485675, -132290324688, 976035630, 12568120, -48535, -280, 1], 1]], 'hecke_orbit_code': 45035996340813993, 'p': 29}
  • id: 436085
    {'charpoly_factorization': [[[-3096277304854445656, -65749435529097852, 1985161101259952, 25565731686363, -228326104668, -3609315492, -1130104, 148229, 706, 1], 1]], 'hecke_orbit_code': 45035996340813993, 'p': 31}
  • id: 436086
    {'charpoly_factorization': [[[-310010188688331481048, -8896933236559731448, -45875333850181822, 594222222755749, 6293535923688, 7976918585, -87939738, -232098, 298, 1], 1]], 'hecke_orbit_code': 45035996340813993, 'p': 37}
  • id: 436087
    {'charpoly_factorization': [[[61873581397572169253, 1619792110119036588, -1616425926085138, -421646173565359, -4652224924458, -14140274357, 56821158, 494135, 1201, 1], 1]], 'hecke_orbit_code': 45035996340813993, 'p': 41}
  • id: 436088
    {'charpoly_factorization': [[[-358611227789785242077, -4678442324800455822, 70886710557000845, 1406432909501023, 5706993788145, -14526437912, -136823024, -153079, 533, 1], 1]], 'hecke_orbit_code': 45035996340813993, 'p': 43}
  • id: 436089
    {'charpoly_factorization': [[[11464353104027851384, 1329362167362062820, 32303753105700258, -49762716955757, -6545051933164, -53107853183, -127738074, 136612, 956, 1], 1]], 'hecke_orbit_code': 45035996340813993, 'p': 47}
  • id: 436090
    {'charpoly_factorization': [[[-12887711309696770761976, 243361477165440699924, -412869644476868336, -9184309039838179, 15501811028404, 112216880490, -123482118, -566375, 278, 1], 1]], 'hecke_orbit_code': 45035996340813993, 'p': 53}
  • id: 436091
    {'charpoly_factorization': [[[2746213265061220833823, 100208211362160601224, 1114668162573142982, 2587489249146439, -30104186322184, -204479067637, -372100382, 252933, 1377, 1], 1]], 'hecke_orbit_code': 45035996340813993, 'p': 59}
  • id: 436092
    {'charpoly_factorization': [[[-27558370514700766164032, -1159015528584307213008, -13633889619625467612, -42822229764922651, 89968446968294, 403231012325, -187548706, -1131006, 136, 1], 1]], 'hecke_orbit_code': 45035996340813993, 'p': 61}
  • id: 436093
    {'charpoly_factorization': [[[327088254089774968977899, 5209654609677087947526, 10821001517180519169, -92063039319250813, -233825752125911, 495065391476, 890936272, -1141335, -931, 1], 1]], 'hecke_orbit_code': 45035996340813993, 'p': 67}
  • id: 436094
    {'charpoly_factorization': [[[44585868903812379154472, 1908994007875268702812, -49455590099883069580, 78182065417258095, 405356603728390, -434754292148, -1448605362, 308287, 2046, 1], 1]], 'hecke_orbit_code': 45035996340813993, 'p': 71}
  • id: 436095
    {'charpoly_factorization': [[[-31756735332805356897821, -1506749960890966228850, 17310298486778544639, -32424645086193109, -181643944920255, 609692221608, 173876306, -1609687, -45, 1], 1]], 'hecke_orbit_code': 45035996340813993, 'p': 73}
  • id: 436096
    {'charpoly_factorization': [[[63070984393479735482088, 790713753135306035544, 556477632229543614, -21981799979683177, -36065298040498, 234613432336, 282452944, -1032469, -412, 1], 1]], 'hecke_orbit_code': 45035996340813993, 'p': 79}
  • id: 436097
    {'charpoly_factorization': [[[1437247282823344835745161, -26103371299230964271946, -472768027691952881203, -2443290848701223317, -5791016389917361, -6314534308340, -1123208654, 4107377, 3709, 1], 1]], 'hecke_orbit_code': 45035996340813993, 'p': 83}
  • id: 436098
    {'charpoly_factorization': [[[4377440958014105162148023, 55602672954565271407894, 273947508877209274079, 599122717986710443, 259318680361049, -1289685028236, -2134074534, -271263, 1663, 1], 1]], 'hecke_orbit_code': 45035996340813993, 'p': 89}
  • id: 436099
    {'charpoly_factorization': [[[20949386930698993053567889, 111994816214865389693426, -145299675714475502787, -1296433223643319245, -484271211396037, 3490144221316, 1955124078, -3079171, -1087, 1], 1]], 'hecke_orbit_code': 45035996340813993, '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': 11, 'label': '169.4.a.k', 'level': 169, 'portrait': 'data:image/png;base64,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', 'weight': 4}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 213706000
    {'hecke_orbit_code': 45035996340813993, 'n': 1, 'trace_an': 9}
  • id: 213706001
    {'hecke_orbit_code': 45035996340813993, 'n': 2, 'trace_an': -5}
  • id: 213706002
    {'hecke_orbit_code': 45035996340813993, 'n': 3, 'trace_an': 1}
  • id: 213706003
    {'hecke_orbit_code': 45035996340813993, 'n': 4, 'trace_an': 37}
  • id: 213706004
    {'hecke_orbit_code': 45035996340813993, 'n': 5, 'trace_an': -30}
  • id: 213706005
    {'hecke_orbit_code': 45035996340813993, 'n': 6, 'trace_an': -48}
  • id: 213706006
    {'hecke_orbit_code': 45035996340813993, 'n': 7, 'trace_an': -38}
  • id: 213706007
    {'hecke_orbit_code': 45035996340813993, 'n': 8, 'trace_an': -60}
  • id: 213706008
    {'hecke_orbit_code': 45035996340813993, 'n': 9, 'trace_an': 66}
  • id: 213706009
    {'hecke_orbit_code': 45035996340813993, 'n': 10, 'trace_an': -147}
  • id: 213706010
    {'hecke_orbit_code': 45035996340813993, 'n': 11, 'trace_an': -181}
  • id: 213706011
    {'hecke_orbit_code': 45035996340813993, 'n': 12, 'trace_an': 39}
  • id: 213706012
    {'hecke_orbit_code': 45035996340813993, 'n': 13, 'trace_an': 0}
  • id: 213706013
    {'hecke_orbit_code': 45035996340813993, 'n': 14, 'trace_an': -147}
  • id: 213706014
    {'hecke_orbit_code': 45035996340813993, 'n': 15, 'trace_an': -218}
  • id: 213706015
    {'hecke_orbit_code': 45035996340813993, 'n': 16, 'trace_an': 269}
  • id: 213706016
    {'hecke_orbit_code': 45035996340813993, 'n': 17, 'trace_an': -55}
  • id: 213706017
    {'hecke_orbit_code': 45035996340813993, 'n': 18, 'trace_an': -79}
  • id: 213706018
    {'hecke_orbit_code': 45035996340813993, 'n': 19, 'trace_an': -161}
  • id: 213706019
    {'hecke_orbit_code': 45035996340813993, 'n': 20, 'trace_an': -370}
  • id: 213706020
    {'hecke_orbit_code': 45035996340813993, 'n': 21, 'trace_an': -188}
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  • id: 213706118
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  • id: 213706119
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  • id: 213706120
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  • id: 213706121
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  • id: 213706122
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  • id: 213706123
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  • id: 213706124
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  • id: 213706125
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  • id: 213706126
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  • id: 213706127
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  • id: 213706128
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  • id: 213706132
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  • id: 213706138
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  • id: 213706140
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  • id: 213706145
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  • id: 213706146
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  • id: 213706147
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  • id: 213706150
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  • id: 213706152
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  • id: 213706153
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  • id: 213706154
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  • id: 213706156
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  • id: 213706158
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  • id: 213706159
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  • id: 213706160
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  • id: 213706161
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  • id: 213706162
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  • id: 213706163
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  • id: 213706164
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  • id: 213706166
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  • id: 213706167
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  • id: 213706170
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  • id: 213706171
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  • id: 213706172
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  • id: 213706173
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  • id: 213706175
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  • id: 213706176
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  • id: 213706210
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  • id: 213706212
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  • id: 213706213
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  • id: 213706215
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  • id: 213706981
    {'hecke_orbit_code': 45035996340813993, 'n': 982, 'trace_an': 28244}
  • id: 213706982
    {'hecke_orbit_code': 45035996340813993, 'n': 983, 'trace_an': 6298}
  • id: 213706983
    {'hecke_orbit_code': 45035996340813993, 'n': 984, 'trace_an': 229297}
  • id: 213706984
    {'hecke_orbit_code': 45035996340813993, 'n': 985, 'trace_an': -49904}
  • id: 213706985
    {'hecke_orbit_code': 45035996340813993, 'n': 986, 'trace_an': -175934}
  • id: 213706986
    {'hecke_orbit_code': 45035996340813993, 'n': 987, 'trace_an': 51288}
  • id: 213706987
    {'hecke_orbit_code': 45035996340813993, 'n': 988, 'trace_an': 0}
  • id: 213706988
    {'hecke_orbit_code': 45035996340813993, 'n': 989, 'trace_an': 80490}
  • id: 213706989
    {'hecke_orbit_code': 45035996340813993, 'n': 990, 'trace_an': -56513}
  • id: 213706990
    {'hecke_orbit_code': 45035996340813993, 'n': 991, 'trace_an': -33422}
  • id: 213706991
    {'hecke_orbit_code': 45035996340813993, 'n': 992, 'trace_an': 234902}
  • id: 213706992
    {'hecke_orbit_code': 45035996340813993, 'n': 993, 'trace_an': -68662}
  • id: 213706993
    {'hecke_orbit_code': 45035996340813993, 'n': 994, 'trace_an': -127331}
  • id: 213706994
    {'hecke_orbit_code': 45035996340813993, 'n': 995, 'trace_an': 111592}
  • id: 213706995
    {'hecke_orbit_code': 45035996340813993, 'n': 996, 'trace_an': -15992}
  • id: 213706996
    {'hecke_orbit_code': 45035996340813993, 'n': 997, 'trace_an': 109664}
  • id: 213706997
    {'hecke_orbit_code': 45035996340813993, 'n': 998, 'trace_an': 35118}
  • id: 213706998
    {'hecke_orbit_code': 45035996340813993, 'n': 999, 'trace_an': -166066}
  • id: 213706999
    {'hecke_orbit_code': 45035996340813993, 'n': 1000, 'trace_an': 5970}