Newform data - 1680.4.a.bg

Formats: - HTML - YAML - JSON - 2024-09-16T13:51:02.832698

• mf_newforms •

  Column	Type
  Nk2	integer
  analytic_conductor	double precision
  analytic_rank	smallint
  analytic_rank_proved	boolean
  artin_degree	integer
  artin_field	numeric[]
  artin_field_label	text
  artin_image	text
  atkin_lehner_eigenvals	integer[]
  atkin_lehner_string	text
  char_conductor	integer
  char_degree	integer
  char_is_minimal	boolean
  char_is_real	boolean
  char_orbit_index	smallint
  char_orbit_label	text
  char_order	integer
  char_parity	smallint
  char_values	jsonb
  cm_discs	integer[]
  conrey_index	integer
  dim	integer
  embedded_related_objects	text[]
  field_disc	numeric
  field_disc_factorization	numeric[]
  field_poly	numeric[]
  field_poly_is_cyclotomic	boolean
  field_poly_is_real_cyclotomic	boolean
  field_poly_root_of_unity	integer
  fricke_eigenval	smallint
  has_non_self_twist	smallint
  hecke_cutters	jsonb
  hecke_orbit	integer
  hecke_orbit_code	bigint
  hecke_ring_generator_nbound	integer
  hecke_ring_index	numeric
  hecke_ring_index_factorization	numeric[]
  hecke_ring_index_proved	boolean
  inner_twist_count	integer
  inner_twists	integer[]
  is_cm	boolean
  is_largest	boolean
  is_maximal	boolean
  is_polredabs	boolean
  is_rm	boolean
  is_self_dual	boolean
  is_self_twist	boolean
  is_twist_minimal	boolean
  label	text
  level	integer
  level_is_powerful	boolean
  level_is_prime	boolean
  level_is_prime_power	boolean
  level_is_prime_square	boolean
  level_is_square	boolean
  level_is_squarefree	boolean
  level_primes	integer[]
  level_radical	integer
  minimal_twist	text
  nf_label	text
  prim_orbit_index	smallint
  projective_field	numeric[]
  projective_field_label	text
  projective_image	text
  projective_image_type	text
  qexp_display	text
  related_objects	text[]
  relative_dim	integer
  rm_discs	integer[]
  sato_tate_group	text
  self_twist_discs	integer[]
  self_twist_type	smallint
  space_label	text
  trace_display	numeric[]
  trace_hash	bigint
  trace_moments	numeric[]
  trace_zratio	numeric
  traces	numeric[]
  weight	smallint
  weight_parity	smallint

  
  {'Nk2': 26880, 'analytic_conductor': 99.12320880964423, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, -1], [7, -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': [1680, 1, [1471, 421, 1121, 337, 241], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 65, 'field_disc_factorization': [[5, 1], [13, 1]], 'field_poly': [-16, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[11, [56, -22, 1]], [13, [56, 22, 1]], [17, [-796, -116, 1]]], 'hecke_orbit': 33, 'hecke_orbit_code': 144115188142966416, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1680.4.a.bg', 'level': 1680, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '105.4.a.f', 'nf_label': '2.2.65.1', 'prim_orbit_index': 1, 'qexp_display': 'q-3q^{3}+5q^{5}+7q^{7}+9q^{9}+(11-\\beta )q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1680.4.a', 'trace_display': [0, -6, 10, 14], 'trace_hash': 458757412960063281, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.906', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.085', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '60.518', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 'traces': [2, 0, -6, 0, 10, 0, 14, 0, 18, 0, 22, 0, -22, 0, -30, 0, 116, 0, -102, 0, -42, 0, -260, 0, 50, 0, -54, 0, -196, 0, -150, 0, -66, 0, 70, 0, -96, 0, 66, 0, -176, 0, 344, 0, 90, 0, -560, 0, 98, 0, -348, 0, 326, 0, 110, 0, 306, 0, 844, 0, -204, 0, 126, 0, -110, 0, 104, 0, 780, 0, -1670, 0, -386, 0, -150, 0, 154, 0, 888, 0, 162, 0, -928, 0, 580, 0, 588, 0, 588, 0, -154, 0, 450, 0, -510, 0, 522, 0, 198, 0, -32, 0, -2128, 0, -210, 0, -976, 0, -304, 0, 288, 0, 526, 0, -1300, 0, -198, 0, 812, 0, -2290, 0, 528, 0, 250, 0, 2720, 0, -1032, 0, 2432, 0, -714, 0, -270, 0, -454, 0, -686, 0, 1680, 0, -112, 0, -980, 0, -294, 0, 1168, 0, 564, 0, 1044, 0, -750, 0, 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83008, 0, 23400, 0, -138548, 0, -39584, 0, 1680, 0, 128784, 0, -12852, 0, -29718, 0, -175598, 0, 101890, 0, 1428, 0, 224320, 0, 160288, 0, 44688, 0, 33330, 0, -8272, 0, -95184, 0, 17968, 0, 250812, 0, 14700, 0, -102704, 0, 57028, 0, 50940, 0, 57768, 0, 111800, 0, -4374, 0, 59348, 0, -24738, 0, -9936, 0, -76590, 0, 89716, 0, 27114, 0, 182580, 0, -49424, 0, 4410, 0, 111516, 0, 24034, 0, 9048, 0, -114994, 0, 41220, 0, 1644, 0, -9534, 0, 121520, 0, 18288, 0, 14700, 0, -62784, 0, 48960, 0, 136240, 0, -36932, 0, -17520, 0, 150690, 0, -175106, 0, 25056, 0, 54512, 0, -38500, 0, 20496, 0, 28460, 0, -1920, 0, 97128, 0, 22820, 0, -18288, 0, 31140, 0, -92372, 0, 304680, 0, -8460, 0, -26560, 0, -4812, 0, 112500, 0, 101344, 0, -3850, 0, -14040, 0, 145512, 0, 224760, 0, -40188, 0, -70000, 0, 221196, 0, 6384, 0, -249264, 0, -177204, 0, -15660, 0, -8418, 0, 136810, 0, 44232, 0, -27440, 0, 28500, 0, -131928, 0, 71120, 0, 120756, 0, 12096, 0, 26920, 0, 22176, 0, -136512, 0, -91128, 0, 22360, 0, 11250, 0, 59488, 0, 209748, 0, -6048, 0, -212734, 0, 119480, 0, -163428, 0, 166786, 0, -43388, 0, 63300, 0, 3640, 0, 125208, 0, -15876, 0, -398036, 0, -37508, 0, 47070, 0, 104984, 0, -44772, 0, -22308, 0, -309148, 0, 29320, 0, -134064, 0, 235040, 0, 94426, 0, -11046, 0, -12750, 0, 345624, 0, -11412, 0, -153604, 0, 165744, 0, 14670, 0, -30660, 0, -67304, 0, -2568, 0, 104252, 0, 137640, 0, 172320, 0, -97940, 0, 4802, 0, -15876, 0, -6420, 0, 427904, 0, 52128, 0, -150264, 0, -196960, 0, 27300, 0, -211314, 0, -347272, 0, 1872, 0, -96232, 0, 13050, 0, 68352, 0, -36036, 0, -6496, 0, -1806, 0, -120040, 0, 119484, 0, 66222, 0, 113136, 0, -5292, 0, 23760, 0, -12184, 0, -208560, 0, 8952, 0, -73976, 0, 63550, 0, 4158, 0, 118298, 0, -75920, 0, -23748, 0, 67960, 0, -70228, 0, -5088, 0, -35700, 0, 179904, 0, 4950, 0, -29172, 0, 69888, 0, -104064, 0, -19816, 0, -58450, 0, -8856, 0, 54328, 0, 42880, 0, -65088, 0, 179740, 0, 53608, 0, -17052, 0, 95952, 0, 196040, 0, 25920, 0, 140920, 0, 82388, 0, -12150, 0, 65338, 0, -94120, 0, -106092, 0, -79420, 0, 131060, 0, -135930, 0, -800, 0, -15022, 0, -131616, 0, -135714, 0, 294464, 0, 60330, 0, 57808, 0, 73438, 0, 48090, 0, 370888, 0, 13400, 0, -40320, 0, 279800, 0, -62242, 0, 32760, 0, -13510, 0, -112768, 0, -15630, 0, 96932, 0, -70736, 0, 13770, 0, 267752, 0, -135940, 0, 20088, 0, 364440, 0, -53200, 0, -15714, 0, -185696, 0, -70104, 0, -11088, 0, -15200, 0, 1752, 0, 46428, 0, 119670, 0, 190522, 0, 26400, 0, 15974, 0, 153920, 0, 46998, 0, -183416, 0, 28280, 0, -49584, 0, 265160, 0, 10780, 0, 15912, 0, 8100, 0, 396814, 0, -14094, 0, -180544, 0, -10128, 0, -5250, 0, 129300, 0, -52572, 0, -64392, 0, 87046, 0, 65700, 0, 130536, 0, -6748, 0, 270676, 0, -157884, 0, 112330, 0, -119640, 0, 52896, 0, -108796, 0, -15372, 0, 37980, 0, -10182, 0, 137690, 0, 57576, 0, 217872, 0, 42180, 0, -57120, 0, -56164, 0, 265976, 0, -5346, 0, -24400, 0, -333030, 0, -151200, 0, 7280, 0, 53504, 0, 28470, 0, 20752, 0, -90008, 0, 37440, 0, -141876, 0, 5390, 0, -240660, 0, -50278, 0, 254868, 0, 77436, 0, -51740, 0, 40892, 0, 21672, 0, -212510, 0, 57908, 0, -6120, 0, 5712, 0, 89622, 0, 38112, 0, 95256, 0, -7600, 0, 864, 0, 98084, 0, 36196, 0, 265806, 0, -113280, 0, -178360, 0, 72744, 0, -194924, 0, -5592, 0, -9180, 0, -217152, 0, -370792, 0, -51072, 0, 14326, 0, -59220, 0, 1152, 0, -55020, 0, -16800, 0, -16524, 0, 31080, 0, 198480, 0, -46920, 0, -270752, 0, -367360, 0, 7200, 0, 476208, 0, 126, 0, 57456, 0, 326300, 0, -85890, 0, -156204, 0, 321420, 0, -240474, 0, 14994, 0, -8520, 0, -237232, 0, -132048, 0, -166660, 0, -23984, 0, -3540, 0, 93100, 0, -4246, 0, -33354, 0, -540996, 0, 144080, 0, -31806, 0, -156972, 0, -7560, 0, 45612, 0, 13150, 0, -55676, 0, -263640, 0, -257948, 0, -189730, 0, 5670, 0, -84386, 0, -91904, 0, 226308, 0, -316212, 0, 50500, 0, 26652, 0, -23772, 0, -68944, 0, -12258, 0, -15060, 0, 303044, 0, 160062, 0, 5952, 0, 63028, 0, -18690, 0, 94560, 0, -234424, 0, -47484, 0, -210396, 0, -32500, 0, 9534, 0, -53558, 0, -48672, 0, -26994, 0, -4870, 0, -32788, 0, 26352, 0, 41356, 0, -161776, 0, 86820, 0, 128620, 0, 98416, 0, 255720, 0, 236328, 0, -32480, 0, -118764, 0, 154152, 0, 10460, 0, -114228, 0, 45880, 0, -116590, 0, 14406, 0, -436800, 0, -164304, 0, -4950, 0, 177048, 0, -40544, 0, -154290, 0, 56952, 0, 16440, 0, -20964, 0, -454380, 0, -174880, 0, 8208, 0, -57300, 0, -154028, 0, -91248, 0, 93032, 0, -81566, 0, 71730, 0, 208752, 0, -12532, 0, -35280, 0, 19112, 0, 25020, 0, 71760, 0, -54372, 0, 3142, 0, -15936, 0, 20300, 0, 22220, 0, 28512, 0, 103948, 0, 49928, 0, -39270, 0, 308384, 0, -9996, 0, -162678, 0, -622532, 0, 10830, 0, -7776, 0, -5468, 0], '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], [-3, 0], [0, 0], [5, 0], [0, 0], [7, 0], [0, 0], [9, 0], [0, 0], [11, -1], [0, 0], [-11, -1], [0, 0], [-15, 0], [0, 0], [58, 8], [0, 0], [-51, -7], [0, 0], [-21, 0], [0, 0], [-130, -10], [0, 0], [25, 0], [0, 0], [-27, 0], [0, 0], [-98, 24], [0, 0], [-75, 21], [0, 0], [-33, 3], [0, 0], [35, 0], [0, 0], [-48, 18], [0, 0], [33, 3], [0, 0], [-88, -50], [0, 0], [172, -16], [0, 0], [45, 0], [0, 0], [-280, -24], [0, 0], [49, 0], [0, 0], [-174, -24], [0, 0], [163, -43], [0, 0], [55, -5], [0, 0], [153, 21], [0, 0], [422, 42], [0, 0], [-102, -12], [0, 0], [63, 0], [0, 0], [-55, -5], [0, 0], [52, 32], [0, 0], [390, 30], [0, 0], [-835, 21], [0, 0], [-193, 101], [0, 0], [-75, 0], [0, 0], [77, -7], [0, 0], [444, -52], [0, 0], [81, 0], [0, 0], [-464, 108], [0, 0], [290, 40], [0, 0], [294, -72], [0, 0], [294, -4], [0, 0], [-77, -7], [0, 0], [225, -63], [0, 0], [-255, -35], [0, 0], [261, -157], [0, 0], [99, -9], [0, 0]], 'ap': [[0, 0], [-3, 0], [5, 0], [7, 0], [11, -1], [-11, -1], [58, 8], [-51, -7], [-130, -10], [-98, 24], [-75, 21], [-48, 18], [-88, -50], [172, -16], [-280, -24], [163, -43], [422, 42], [-102, -12], [52, 32], [-835, 21], [-193, 101], [444, -52], [-464, 108], [294, -4], [261, -157], [-16, -14], [-1064, 32], [-488, 156], [-152, -78], [263, -171], [1360, 64], [1216, -196], [-227, 227], [-343, -259], [584, 218], [282, 226], [-1569, 121], [-792, -172], [-864, 8], [-880, -70], [-949, -297], [204, 254], [623, 47], [-2894, -144], [-2391, -341], [1309, -235], [-1944, 372], [-3918, -94], [-896, -564], [-2310, 220], [-1933, 217], [-1651, 125], [-5288, -58], [1730, 422], [672, 542], [-7448, -16], [104, 114], [3679, -177], [-3616, -622], [-7312, -26], [-2240, 276], [7252, -42], [-918, 1062], [-7336, -32], [-1767, -913], [-681, -527], [1584, -348], [-3198, -688], [-2574, -250], [-378, -448], [-2550, 616], [4667, -237], [-9710, -174], [770, 660], [-1098, -358], [520, -104], [6804, -362], [9, 595], [6650, -376], [4502, -820], [4068, 352], [-11002, 168], [10189, 349], [3333, 499], [-7659, 93], [4122, 1326], [-3850, -844], [-7000, 142], [2850, 44], [2692, -380], [11948, 968], [13764, 868], [-12004, -700], [6355, -89], [17974, -62], [-9412, 244], [1340, -586], [2828, 18], [810, -434], [-5174, -1148], [-11328, -308], [-8589, 317], [14408, -924], [5050, -2288], [-1506, 1186], [-487, -2601], [1644, -2704], [2502, -236], [1083, 547], [5024, 2390], [-7238, 522], [-19388, 6], [-13137, 917], [1205, 873], [-10200, 1808], [19528, -954], [-4270, 350], [-9520, 2264], [-299, -2689], [22497, 653], [9002, -2180], [-2268, 3650], [9524, -1354], [15786, -882], [22595, -145], [25550, -88], [12654, -16], [-238, -3454], [-8490, 2830], [-4519, 1395], [-274, 458], [-8160, 8], [-16188, 340], [-18750, 2004], [6698, 2528], [21988, -2462], [22752, 386], [3718, 3554], [428, 198], [-11392, 2950], [301, -1855], [3958, 2472], [848, 392], [17344, 3444], [1476, 1822], [17682, 938], [2605, -4065], [-3348, -1246], [2619, -2689], [-7738, 2134], [10732, 3350], [26314, -40], [-8816, -3796], [-9596, -4516], [-6352, 1140], [-44301, 547], [-192, 104], [26034, 3120], [5559, 3005], [-7602, -4616], [-37718, -2106], [-26677, 2369], [-42620, -1012], [19038, -462], [25715, 2593], [15208, -1536], [2656, -2432], [27113, -405], [-8096, 1486], [19348, -858], [-8537, -3125], [-21580, 4174], [-35195, 1757], [2214, -1716], [-3333, 3403], [568, -306], [11812, 5512], [-26836, -498], [8122, 2370], [-27496, -2846], [17976, -3096], [-6590, 4670], [-4046, -5996], [-9082, -3860], [40588, 44], [29544, 1818], [-34004, -1338], [17498, -4474], [20700, 1698], [52842, -2358], [17333, -1101], [-8460, -2440], [6018, -4850], [11326, 1816], [-46986, 3298], [41274, -384], [-53280, 654], [-42370, -584], [-14472, 1590], [3248, -808], [-866, -7736], [-23087, -2431], [-8633, 8441], [29624, -6058], [36414, 1106], [17204, -210], [17827, 1155], [-6712, -6412], [44028, -414], [62027, -1089], [-82524, -910], [-24308, -2178], [-15212, -1300], [-9236, -352], [29450, -254], [43980, -622], [-29692, 5252], [-48598, 5848], [33804, 2660], [-16495, 6731], [40878, 4240], [-58463, 681], [-73552, 1774], [-32176, -6576], [44640, -964], [55440, 1634], [76708, -294], [30663, 5639], [-31556, -9180], [4127, -3277], [-26282, 64], [-10511, 3901], [16066, 10114], [-22420, -6254], [4698, 6078], [-41876, -820], [6842, -376], [27809, -205], [6191, 1011], [-31738, -6370], [-33180, 7264], [16961, -1851], [-9204, -2060], [49884, -7610], [-76072, -2330], [-16130, 7686], [-59326, 3218], [23000, 9204], [-10040, -580], [-11442, -10098], [-15688, -10702], [-31118, -5680], [-75378, -1546], [25142, 3804], [85616, -2182], [-12421, -8793], [-30720, -3758], [26136, -5748], [-47436, 1014], [35477, 1195], [-40736, -7568], [27394, -6066], [83010, -6204], [65323, 5381], [28666, 6488], [-17793, 9435], [-3334, 5508], [12348, 13874], [22336, 5812], [32445, 6911], [-82640, 3290], [28864, -6436], [50525, 2515], [90744, -5064], [25381, 8531], [-10338, 790], [70736, 6468], [-58970, 1664], [93330, -6216], [47622, -7694], [95412, 2212], [-21896, -5840], [-85900, 2892], [-26400, -11486], [-90878, 6086], [839, -1929], [41496, -13466], [-11713, 3793], [2101, -2403], [-38854, 5368], [-53422, 7132], [123696, 4908], [16683, 7265], [16260, -5224], [-55750, 5956], [36306, 684], [108275, -5549], [24422, -520], [-28722, -4142], [-42566, -8986], [-41377, 3461], [56269, 12279], [123270, -1962], [-74290, -1814], [41110, -7942], [-87678, -8928], [5164, -1168], [76370, 8988], [19905, -3319], [125002, -2260], [3004, 636], [91390, 4240], [4018, -5360], [-94664, 7972], [48942, -8330], [104504, -2626], [39728, 6236], [-27741, 6179], [4253, -10149], [-14066, -164], [86463, 1611], [41504, -2026], [-69274, -6528], [-19792, 11296], [-87799, 5039], [80144, 2686], [28514, 11358], [-24712, -6132], [55758, -17538], [-57497, -10551], [60760, 9634], [75345, -8789], [-87553, -2913], [27256, 14916], [-960, 21108], [-13280, 8020], [-2406, 5460], [50672, 9486], [112380, -8382], [110598, 3654], [-88602, 4728], [-4209, 7237], [35560, -11382], [60378, -3406], [-106367, -11909], [83393, 8541], [-21694, 20260], [62604, -6352], [-199018, 1734], [52492, -7650], [47213, -9975], [172812, -3982], [-76802, 8680], [82872, 2360], [-33652, -4834], [52126, -7020], [-48970, -20586], [-75132, -9288], [-105657, 4757], [-48116, 12132], [59742, -1536], [56568, 8510], [-6092, -11276], [59149, 1809], [-35114, 8098], [89952, -13210], [-14586, 15600], [98020, 9292], [65530, 688], [-67857, -10325], [36719, -12637], [185444, -7324], [139900, 7790], [-31121, -11881], [-56384, -262], [-92848, -5156], [59835, 2907], [95261, 12859], [132580, -4302], [198407, -1955], [-90272, -5414], [43523, 2377], [-59820, 1996], [-5091, -12581], [68845, -10871], [108936, 5712], [132988, -9140], [-166515, 2015], [26752, -3660], [10376, 1208], [-45004, -13838], [-70938, 4168], [-25139, 20833], [20446, 30970], [-106255, -2631], [28954, 8336], [44811, -2229], [49042, -18760], [18098, -23930], [-97462, 11452], [-185396, 4838], [7163, 4185], [99240, 6664], [238104, 2318], [160710, 2056], [-120237, 6091], [-118616, 658], [-83330, 2092], [-11992, -32892], [-78486, 10374], [-94865, 14141], [-42193, -895], [-158106, 5274], [-34472, -5036], [151522, 4392], [2976, -15094], [-26779, 16965], [-16394, 11518], [64310, 4356], [118164, -10964], [77076, 14], [-58295, -15157], [88524, -7188], [-227190, 3854], [-40783, 11415], [104376, -2686], [9556, 16688], [-27186, -252], [1571, 5511], [-2734, -25478]], 'char_orbit_index': 1, 'field_poly': [-16, -1, 1], 'hecke_orbit_code': 144115188142966416, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 2], 'hecke_ring_inverse_numerators': [[1, 0], [1, 1]], 'hecke_ring_numerators': [[1, 0], [-1, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '1680.4.a.bg', 'level': 1680, 'maxp': 2999, 'weight': 4}
• mf_newspaces •

  Column	Type
  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_powerful	boolean
  level_is_prime	boolean
  level_is_prime_power	boolean
  level_is_prime_square	boolean
  level_is_square	boolean
  level_is_squarefree	boolean
  level_primes	integer[]
  level_radical	integer
  mf_dim	integer
  mf_new_dim	integer
  num_forms	smallint
  plus_dim	integer
  prim_orbit_index	smallint
  relative_dim	integer
  s4_dim	integer
  sturm_bound	integer
  trace_bound	integer
  trace_display	numeric[]
  traces	numeric[]
  weight	smallint
  weight_parity	smallint

  
  {'ALdims': [5, 4, 4, 5, 4, 5, 5, 4, 4, 6, 4, 4, 4, 4, 4, 6], 'Nk2': 26880, 'analytic_conductor': 99.12320880964423, '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': [1680, 1, [1471, 421, 1121, 337, 241], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1128, 'dim': 72, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17], 'hecke_orbit_code': 67110544, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3], 'label': '1680.4.a', 'level': 1680, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 1176, 'mf_new_dim': 72, 'num_forms': 46, 'plus_dim': 40, 'prim_orbit_index': 1, 'relative_dim': 72, 'sturm_bound': 1536, 'trace_bound': 17, 'trace_display': [0, 0, 0, 28], 'traces': [72, 0, 0, 0, 0, 0, 28, 0, 648, 0, -40, 0, 0, 0, 60, 0, 0, 0, 24, 0, 0, 0, -328, 0, 1800, 0, 0, 0, -400, 0, -264, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -1840, 0, 0, 0, -1488, 0, 3528, 0, -744, 0, 752, 0, 0, 0, 0, 0, 240, 0, -912, 0, 252, 0, 0, 0, -1200, 0, -528, 0, -4120, 0, 0, 0, 0, 0, 1904, 0, 1824, 0, 5832, 0, -912, 0, 240, 0, 0, 0, 2720, 0, 0, 0, 0, 0, 0, 0, 1952, 0, -360, 0, 0, 0, 1968, 0, 0, 0, 4808, 0, 4832, 0, 0, 0, -3072, 0, -2280, 0, 0, 0, 0, 0, 7864, 0, -2952, 0, 0, 0, -1280, 0, 1488, 0, 15200, 0, 0, 0, 540, 0, -3072, 0, -2616, 0, 2928, 0, 18656, 0, 720, 0, 0, 0, 10000, 0, -2704, 0, 0, 0, 0, 0, 3872, 0, -4056, 0, 1120, 0, -4288, 0, 0, 0, 3936, 0, 9416, 0, 216, 0, 2336, 0, 700, 0, 2256, 0, -4216, 0, 4848, 0, 5856, 0, 0, 0, 32928, 0, 0, 0, -4184, 0, 5680, 0, 0, 0, 7696, 0, 5544, 0, -1968, 0, -4648, 0, 0, 0, -2952, 0, -8800, 0, 13472, 0, 0, 0, 0, 0, 336, 0, 4800, 0, 0, 0, 8496, 0, 16200, 0, -12448, 0, 11312, 0, 0, 0, 15360, 0, -6960, 0, 6432, 0, 15320, 0, -4912, 0, 0, 0, 0, 0, 11280, 0, -8016, 0, 13584, 0, 11264, 0, 0, 0, -8384, 0, -4200, 0, -3600, 0, 44600, 0, -5280, 0, 8424, 0, -6880, 0, -48760, 0, 0, 0, -1000, 0, -240, 0, -2376, 0, 19792, 0, -4656, 0, 9840, 0, 0, 0, 12568, 0, 0, 0, 0, 0, 9440, 0, 0, 0, 50848, 0, -1680, 0, 4488, 0, 3280, 0, 36192, 0, -480, 0, 21088, 0, -9248, 0, 0, 0, 1936, 0, 35024, 0, 9216, 0, -3232, 0, 0, 0, -15936, 0, 2128, 0, -2976, 0, -144, 0, 3120, 0, 20176, 0, 7944, 0, 10784, 0, 1372, 0, -8880, 0, -2440, 0, 18608, 0, 0, 0, -15360, 0, 0, 0, 0, 0, 29352, 0, 25400, 0, 0, 0, 8480, 0, 55056, 0, 0, 0, -3304, 0, -3280, 0, 1500, 0, -33792, 0, 19280, 0, 11040, 0, -51280, 0, 0, 0, -16560, 0, 23056, 0, 5232, 0, -5904, 0, -320, 0, 576, 0, 0, 0, 7472, 0, -35376, 0, 0, 0, -45872, 0, 9552, 0, 10056, 0, 0, 0, 7120, 0, 12192, 0, 27200, 0, 37424, 0, -13392, 0, 0, 0, -10248, 0, 6288, 0, 21640, 0, 5536, 0, -10440, 0, -23008, 0, -93368, 0, 31752, 0, 4952, 0, 5520, 0, 30432, 0, -63952, 0, -70976, 0, -10176, 0, 0, 0, -43952, 0, -6696, 0, -736, 0, 16928, 0, 13920, 0, 84640, 0, 25088, 0, -15696, 0, 7552, 0, 600, 0, 6768, 0, 64320, 0, -29280, 0, -11592, 0, 0, 0, 38608, 0, -1968, 0, 37192, 0, 288, 0, 0, 0, -19264, 0, -33456, 0, 23040, 0, -10736, 0, -12800, 0, -50496, 0, -116064, 0, 0, 0, 0, 0, 9200, 0, -97408, 0, -18456, 0, 1184, 0, 118192, 0, 0, 0, 6048, 0, 2760, 0, 2160, 0, -52352, 0, -15000, 0, -11616, 0, -1960, 0, 14000, 0, 26064, 0, 14240, 0, -10704, 0, -8208, 0, -7792, 0, 38752, 0, -13320, 0, -18192, 0, 18272, 0, -23040, 0, -3824, 0, -18160, 0, 2268, 0, 33264, 0, -90960, 0, 0, 0, -8200, 0, 41792, 0, 41616, 0, 12320, 0, -99744, 0, 0, 0, 94032, 0, -90608, 0, -1320, 0, -14528, 0, -14280, 0, -9696, 0, 54856, 0, -1872, 0, -10800, 0, 0, 0, 72592, 0, -18480, 0, -197216, 0, 22544, 0, 0, 0, -33792, 0, 43752, 0, -4752, 0, 7728, 0, 45000, 0, -86064, 0, -40064, 0, -69056, 0, -8544, 0, 46320, 0, 0, 0, -37080, 0, 41616, 0, 65760, 0, -4080, 0, -15136, 0, -2240, 0, 0, 0, 34960, 0, 19200, 0, 0, 0, 53208, 0, 2352, 0, -49824, 0, 0, 0, -123088, 0, -14784, 0, -95728, 0, -66928, 0, 0, 0, -46208, 0, 5040, 0, 24336, 0, -93736, 0, 47760, 0, 43632, 0, -52224, 0, 58872, 0, 17136, 0, -72080, 0, -110400, 0, 66360, 0, -34128, 0, -260368, 0, 3120, 0, 0, 0, 20528, 0, 16416, 0, -99968, 0, -34320, 0, 21792, 0, 96496, 0, -25088, 0, 20880, 0, -10000, 0, -25696, 0, 52488, 0, -270912, 0, -69088, 0, 2940, 0, 35200, 0, -42640, 0, -76896, 0, 61704, 0, -33040, 0, -8208, 0, -8848, 0, 66944, 0, -39216, 0, 34080, 0, -79664, 0, -132144, 0, -21856, 0, -36792, 0, 2160, 0, -142560, 0, 8432, 0, -13704, 0, -6048, 0, -6600, 0, 0, 0, -193536, 0, -45712, 0, 0, 0, 21920, 0, -123728, 0, 48912, 0, -19096, 0, 17216, 0, -19080, 0, 102048, 0, -24288, 0, 24480, 0, -43744, 0, 0, 0, 68664, 0, -2960, 0, 20488, 0, -93024, 0, -102640, 0, -41568, 0, 0, 0, 76176, 0, -43872, 0, 0, 0, 201032, 0, 71920, 0, -8496, 0, 0, 0, -19920, 0, 0, 0, 58928, 0, 143736, 0, 148416, 0, 47680, 0, 18956, 0, -49344, 0, 69744, 0, -66080, 0, 0, 0, -89088, 0, -71928, 0, -14448, 0, -71848, 0, 64560, 0, -69120, 0, 187360, 0, -15200, 0, 17568, 0, 0, 0, 20976, 0, -91560, 0, 43008, 0, 58912, 0, -480, 0, -13712, 0, 67088, 0, -3240, 0, 59296, 0, -23760, 0, -32256, 0, -295792, 0, 17344, 0, 28896, 0, -25520, 0, 52384, 0, 0, 0, -137016, 0, -16608, 0, -21480, 0, 46144, 0, -31744, 0, -5280, 0, -199968, 0, -400, 0, 17712, 0, -132384, 0, 1176, 0, 1056, 0, -77040, 0, -143360, 0, 33456, 0, 46208, 0, 26160, 0, 0, 0, 36968, 0, 145104, 0, 64296, 0, 126304, 0, 30960, 0, -69984, 0, -34216, 0, -64168, 0, 43272, 0, -49120, 0, 215920, 0, 2592, 0, -148784, 0, -25312, 0, 0, 0, 169952, 0, -94944, 0, 43488, 0, -1184, 0, -53920, 0, -47376, 0, -164416, 0, -113760, 0, -21408, 0, 29040, 0, -231488, 0, 0, 0], '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: 788119
    {'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '1680.4.a.bg', 'source_level': 1680, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '105.4.a.f', 'target_level': 105, 'twist_class_label': '105.4.a.f', 'twist_class_level': 105, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
  • id: 788120
    {'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '1680.4.a.bg', 'source_level': 1680, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '315.4.a.i', 'target_level': 315, 'twist_class_label': '105.4.a.f', 'twist_class_level': 105, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
  • id: 788121
    {'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '1680.4.a.bg', 'source_level': 1680, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '525.4.a.k', 'target_level': 525, 'twist_class_label': '105.4.a.f', 'twist_class_level': 105, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 4}
  • id: 788122
    {'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '1680.4.a.bg', 'source_level': 1680, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '525.4.d.h', 'target_level': 525, 'twist_class_label': '105.4.a.f', 'twist_class_level': 105, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 4}
  • id: 788123
    {'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '1680.4.a.bg', 'source_level': 1680, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '735.4.a.p', 'target_level': 735, 'twist_class_label': '105.4.a.f', 'twist_class_level': 105, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 4}
  • id: 788124
    {'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '1680.4.a.bg', 'source_level': 1680, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '1575.4.a.w', 'target_level': 1575, 'twist_class_label': '105.4.a.f', 'twist_class_level': 105, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 4}
  • id: 788125
    {'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '1680.4.a.bg', 'source_level': 1680, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '1680.4.a.bg', 'target_level': 1680, 'twist_class_label': '105.4.a.f', 'twist_class_level': 105, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
  • id: 788126
    {'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '1680.4.a.bg', 'source_level': 1680, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '2205.4.a.z', 'target_level': 2205, 'twist_class_label': '105.4.a.f', 'twist_class_level': 105, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 4}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 2126925
    {'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 144115188142966416, 'p': 2}
  • id: 2126926
    {'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 144115188142966416, 'p': 3}
  • id: 2126927
    {'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 144115188142966416, 'p': 5}
  • id: 2126928
    {'charpoly_factorization': [[[-7, 1], 2]], 'hecke_orbit_code': 144115188142966416, 'p': 7}
  • id: 2126929
    {'charpoly_factorization': [[[56, -22, 1], 1]], 'hecke_orbit_code': 144115188142966416, 'p': 11}
  • id: 2126930
    {'charpoly_factorization': [[[56, 22, 1], 1]], 'hecke_orbit_code': 144115188142966416, 'p': 13}
  • id: 2126931
    {'charpoly_factorization': [[[-796, -116, 1], 1]], 'hecke_orbit_code': 144115188142966416, 'p': 17}
  • id: 2126932
    {'charpoly_factorization': [[[-584, 102, 1], 1]], 'hecke_orbit_code': 144115188142966416, 'p': 19}
  • id: 2126933
    {'charpoly_factorization': [[[10400, 260, 1], 1]], 'hecke_orbit_code': 144115188142966416, 'p': 23}
  • id: 2126934
    {'charpoly_factorization': [[[-27836, 196, 1], 1]], 'hecke_orbit_code': 144115188142966416, 'p': 29}
  • id: 2126935
    {'charpoly_factorization': [[[-23040, 150, 1], 1]], 'hecke_orbit_code': 144115188142966416, 'p': 31}
  • id: 2126936
    {'charpoly_factorization': [[[-18756, 96, 1], 1]], 'hecke_orbit_code': 144115188142966416, 'p': 37}
  • id: 2126937
    {'charpoly_factorization': [[[-154756, 176, 1], 1]], 'hecke_orbit_code': 144115188142966416, 'p': 41}
  • id: 2126938
    {'charpoly_factorization': [[[12944, -344, 1], 1]], 'hecke_orbit_code': 144115188142966416, 'p': 43}
  • id: 2126939
    {'charpoly_factorization': [[[40960, 560, 1], 1]], 'hecke_orbit_code': 144115188142966416, 'p': 47}
  • id: 2126940
    {'charpoly_factorization': [[[-93616, -326, 1], 1]], 'hecke_orbit_code': 144115188142966416, 'p': 53}
  • id: 2126941
    {'charpoly_factorization': [[[63424, -844, 1], 1]], 'hecke_orbit_code': 144115188142966416, 'p': 59}
  • id: 2126942
    {'charpoly_factorization': [[[1044, 204, 1], 1]], 'hecke_orbit_code': 144115188142966416, 'p': 61}
  • id: 2126943
    {'charpoly_factorization': [[[-63856, -104, 1], 1]], 'hecke_orbit_code': 144115188142966416, 'p': 67}
  • id: 2126944
    {'charpoly_factorization': [[[668560, 1670, 1], 1]], 'hecke_orbit_code': 144115188142966416, 'p': 71}
  • id: 2126945
    {'charpoly_factorization': [[[-625816, 386, 1], 1]], 'hecke_orbit_code': 144115188142966416, 'p': 73}
  • id: 2126946
    {'charpoly_factorization': [[[21376, -888, 1], 1]], 'hecke_orbit_code': 144115188142966416, 'p': 79}
  • id: 2126947
    {'charpoly_factorization': [[[-542864, 928, 1], 1]], 'hecke_orbit_code': 144115188142966416, 'p': 83}
  • id: 2126948
    {'charpoly_factorization': [[[85396, -588, 1], 1]], 'hecke_orbit_code': 144115188142966416, 'p': 89}
  • id: 2126949
    {'charpoly_factorization': [[[-1534064, -522, 1], 1]], 'hecke_orbit_code': 144115188142966416, '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': 33, 'label': '1680.4.a.bg', 'level': 1680, 'portrait': 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', 'weight': 4}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 69229375
    {'hecke_orbit_code': 144115188142966416, 'n': 1, 'trace_an': 2}
  • id: 69229376
    {'hecke_orbit_code': 144115188142966416, 'n': 2, 'trace_an': 0}
  • id: 69229377
    {'hecke_orbit_code': 144115188142966416, 'n': 3, 'trace_an': -6}
  • id: 69229378
    {'hecke_orbit_code': 144115188142966416, 'n': 4, 'trace_an': 0}
  • id: 69229379
    {'hecke_orbit_code': 144115188142966416, 'n': 5, 'trace_an': 10}
  • id: 69229380
    {'hecke_orbit_code': 144115188142966416, 'n': 6, 'trace_an': 0}
  • id: 69229381
    {'hecke_orbit_code': 144115188142966416, 'n': 7, 'trace_an': 14}
  • id: 69229382
    {'hecke_orbit_code': 144115188142966416, 'n': 8, 'trace_an': 0}
  • id: 69229383
    {'hecke_orbit_code': 144115188142966416, 'n': 9, 'trace_an': 18}
  • id: 69229384
    {'hecke_orbit_code': 144115188142966416, 'n': 10, 'trace_an': 0}
  • id: 69229385
    {'hecke_orbit_code': 144115188142966416, 'n': 11, 'trace_an': 22}
  • id: 69229386
    {'hecke_orbit_code': 144115188142966416, 'n': 12, 'trace_an': 0}
  • id: 69229387
    {'hecke_orbit_code': 144115188142966416, 'n': 13, 'trace_an': -22}
  • id: 69229388
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  • id: 69229584
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  • id: 69229585
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  • id: 69229586
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  • id: 69229587
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  • id: 69229588
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  • id: 69229589
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  • id: 69229590
    {'hecke_orbit_code': 144115188142966416, 'n': 727, 'trace_an': -16980}
  • id: 69229591
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  • id: 69229592
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  • id: 69229593
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  • id: 69229594
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  • id: 69229595
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  • id: 69229596
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  • id: 69229597
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  • id: 69229598
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  • id: 69229599
    {'hecke_orbit_code': 144115188142966416, 'n': 773, 'trace_an': 45504}
  • id: 69229600
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  • id: 69229601
    {'hecke_orbit_code': 144115188142966416, 'n': 797, 'trace_an': 856}
  • id: 69229602
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  • id: 69229603
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  • id: 69229604
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  • id: 69229605
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  • id: 69229606
    {'hecke_orbit_code': 144115188142966416, 'n': 827, 'trace_an': 34688}
  • id: 69229607
    {'hecke_orbit_code': 144115188142966416, 'n': 829, 'trace_an': 2952}
  • id: 69229608
    {'hecke_orbit_code': 144115188142966416, 'n': 839, 'trace_an': 35364}
  • id: 69229609
    {'hecke_orbit_code': 144115188142966416, 'n': 841, 'trace_an': 45310}
  • id: 69229610
    {'hecke_orbit_code': 144115188142966416, 'n': 853, 'trace_an': 5210}
  • id: 69229611
    {'hecke_orbit_code': 144115188142966416, 'n': 857, 'trace_an': -6696}
  • id: 69229612
    {'hecke_orbit_code': 144115188142966416, 'n': 859, 'trace_an': 5238}
  • id: 69229613
    {'hecke_orbit_code': 144115188142966416, 'n': 863, 'trace_an': -15476}
  • id: 69229614
    {'hecke_orbit_code': 144115188142966416, 'n': 877, 'trace_an': 21464}
  • id: 69229615
    {'hecke_orbit_code': 144115188142966416, 'n': 881, 'trace_an': 52628}
  • id: 69229616
    {'hecke_orbit_code': 144115188142966416, 'n': 883, 'trace_an': -17632}
  • id: 69229617
    {'hecke_orbit_code': 144115188142966416, 'n': 887, 'trace_an': -19192}
  • id: 69229618
    {'hecke_orbit_code': 144115188142966416, 'n': 907, 'trace_an': -12704}
  • id: 69229619
    {'hecke_orbit_code': 144115188142966416, 'n': 911, 'trace_an': -88602}
  • id: 69229620
    {'hecke_orbit_code': 144115188142966416, 'n': 919, 'trace_an': -384}
  • id: 69229621
    {'hecke_orbit_code': 144115188142966416, 'n': 929, 'trace_an': 52068}
  • id: 69229622
    {'hecke_orbit_code': 144115188142966416, 'n': 937, 'trace_an': 11118}
  • id: 69229623
    {'hecke_orbit_code': 144115188142966416, 'n': 941, 'trace_an': -15204}
  • id: 69229624
    {'hecke_orbit_code': 144115188142966416, 'n': 947, 'trace_an': -75436}
  • id: 69229625
    {'hecke_orbit_code': 144115188142966416, 'n': 953, 'trace_an': -53354}
  • id: 69229626
    {'hecke_orbit_code': 144115188142966416, 'n': 961, 'trace_an': 8998}
  • id: 69229627
    {'hecke_orbit_code': 144115188142966416, 'n': 967, 'trace_an': -85240}
  • id: 69229628
    {'hecke_orbit_code': 144115188142966416, 'n': 971, 'trace_an': 38076}
  • id: 69229629
    {'hecke_orbit_code': 144115188142966416, 'n': 977, 'trace_an': 51430}
  • id: 69229630
    {'hecke_orbit_code': 144115188142966416, 'n': 983, 'trace_an': 30416}
  • id: 69229631
    {'hecke_orbit_code': 144115188142966416, 'n': 991, 'trace_an': 5312}
  • id: 69229632
    {'hecke_orbit_code': 144115188142966416, 'n': 997, 'trace_an': 54226}