Newform data - 1472.4.a.bg

Formats: - HTML - YAML - JSON - 2025-01-13T19:07:29.028761

• 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': 23552, 'analytic_conductor': 86.85081152845018, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [23, 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': [1472, 1, [1151, 645, 833], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 23956581572399767296, 'field_disc_factorization': [[2, 8], [3, 1], [389479, 1], [80090237443, 1]], 'field_poly': [51084, 45072, -89643, -7924, 6175, 344, -137, -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': [[3, [-179952, -210540, 4757, 32868, 1395, -1188, -81, 12, 1]]], 'hecke_orbit': 33, 'hecke_orbit_code': 144115188142966208, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 256, 'hecke_ring_index_factorization': [[2, 8]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1472.4.a.bg', 'level': 1472, '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, 23], 'level_radical': 46, 'minimal_twist': '736.4.a.e', 'prim_orbit_index': 1, 'qexp_display': 'q+(-2+\\beta _{1})q^{3}+(1+\\beta _{3})q^{5}+(-2+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1472.4.a', 'trace_display': [0, -12, 12, -14], 'trace_hash': 1647904511006915007, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.314', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '149.356', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4634.240', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 'traces': [8, 0, -12, 0, 12, 0, -14, 0, 90, 0, -88, 0, 30, 0, 30, 0, 58, 0, -190, 0, 66, 0, -184, 0, 28, 0, -432, 0, -190, 0, -60, 0, 346, 0, -192, 0, 156, 0, 156, 0, 282, 0, -810, 0, -358, 0, 564, 0, 752, 0, -1614, 0, 230, 0, 1292, 0, 796, 0, -1916, 0, -22, 0, 1036, 0, 222, 0, -2292, 0, 276, 0, 2376, 0, -630, 0, -3952, 0, 948, 0, 892, 0, -1044, 0, -2800, 0, -288, 0, 2756, 0, -308, 0, -4610, 0, 982, 0, 1300, 0, 854, 0, -5986, 0, 2288, 0, -654, 0, -2428, 0, -4390, 0, 502, 0, 710, 0, -690, 0, -276, 0, 900, 0, -412, 0, 2124, 0, -6372, 0, 3516, 0, -1120, 0, 1000, 0, -7872, 0, 1556, 0, -1794, 0, -808, 0, -5880, 0, -2418, 0, -42, 0, 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-356580, 0, 246928, 0, 190154, 0, 1048474, 0, 25760, 0, -726292, 0, 316164, 0, -229008, 0, 221372, 0, -747194, 0, -35888, 0, -154114, 0, -1343176, 0, -479568, 0, -168536, 0, -430008, 0, 928820, 0, -18196, 0, -840812, 0, -449574, 0, -128970, 0, 148854, 0, -105854, 0, 521770, 0, -1338992, 0, -228250, 0, 352244, 0, -23000, 0, 205568, 0, -955548, 0, -182320, 0, -332420, 0, -132196, 0, 306800, 0, -480488, 0, 923344, 0, 1275656, 0, 381530, 0, -341654, 0, -194160, 0, -82810, 0, -210176, 0, -423160, 0, -38040, 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, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0], [12, -2, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-12, 0, -1, 1, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0], [2, 1, 1, 0, 1, 1, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0], [8, 1, -1, -6, 0, -1, -2, -1], [0, 0, 0, 0, 0, 0, 0, 0], [9, -5, 0, 0, -1, 1, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-22, 2, -2, 1, -2, -1, -3, 0], [0, 0, 0, 0, 0, 0, 0, 0], [9, 3, 1, -2, -2, -2, 3, -6], [0, 0, 0, 0, 0, 0, 0, 0], [-23, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [8, -14, 1, 6, -1, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0], [-53, 4, -2, -2, -3, 1, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0], [-23, 13, -2, -2, -4, 3, -9, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-5, 4, -3, -10, -2, 0, 6, -3], [0, 0, 0, 0, 0, 0, 0, 0], [63, -28, -3, -6, 3, -4, -2, -6], [0, 0, 0, 0, 0, 0, 0, 0], [-23, -13, 6, 0, 3, -5, 10, -5], [0, 0, 0, 0, 0, 0, 0, 0], [25, 3, -1, -7, 0, -5, -2, -4], [0, 0, 0, 0, 0, 0, 0, 0], [18, 13, -1, -10, 1, 9, -8, 6], [0, 0, 0, 0, 0, 0, 0, 0], [51, -16, -3, -6, -2, 4, -8, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-102, 3, 3, -9, 4, 6, -3, 4], [0, 0, 0, 0, 0, 0, 0, 0], [-64, -16, 4, 27, 6, -1, 15, 10], [0, 0, 0, 0, 0, 0, 0, 0], [69, -16, -1, 10, 0, -12, 18, -5], [0, 0, 0, 0, 0, 0, 0, 0], [122, -28, -1, -16, -1, 0, -4, -13], [0, 0, 0, 0, 0, 0, 0, 0], [-200, 11, 0, -14, -3, 8, -3, 3], [0, 0, 0, 0, 0, 0, 0, 0], [44, 12, -4, -25, 0, 7, -19, 0], [0, 0, 0, 0, 0, 0, 0, 0], [171, -7, 8, -16, 3, -1, 2, -9], [0, 0, 0, 0, 0, 0, 0, 0], [114, -57, 5, 16, 4, -13, 14, -4], [0, 0, 0, 0, 0, 0, 0, 0], [-230, -6, 2, -32, 8, 4, 10, -4], [0, 0, 0, 0, 0, 0, 0, 0], [0, -37, -9, 1, 16, 0, 9, 20], [0, 0, 0, 0, 0, 0, 0, 0], [118, 9, 1, 22, 0, 13, -24, 18], [0, 0, 0, 0, 0, 0, 0, 0], [29, -20, -1, 0, 9, 10, -4, 16], [0, 0, 0, 0, 0, 0, 0, 0], [-272, -21, -2, 7, 1, -15, -10, 5], [0, 0, 0, 0, 0, 0, 0, 0], [46, -23, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [316, -19, 9, -6, 9, -11, -20, -2], [0, 0, 0, 0, 0, 0, 0, 0], [-98, 6, 8, 22, -11, 10, 8, 9], [0, 0, 0, 0, 0, 0, 0, 0], [-475, 24, -18, -36, -3, -3, -12, -1], [0, 0, 0, 0, 0, 0, 0, 0], [177, -84, -1, -16, -13, -20, 22, -31], [0, 0, 0, 0, 0, 0, 0, 0], [92, 5, -1, 26, -4, 17, -4, 16], [0, 0, 0, 0, 0, 0, 0, 0], [-126, -38, -11, 12, 3, 6, 12, 9], [0, 0, 0, 0, 0, 0, 0, 0], [-344, -5, 22, -1, -5, 1, -8, -9], [0, 0, 0, 0, 0, 0, 0, 0], [-29, -48, 5, 34, -7, 14, -4, 3], [0, 0, 0, 0, 0, 0, 0, 0], [325, -68, 33, 34, 10, -6, 58, -17], [0, 0, 0, 0, 0, 0, 0, 0], [-70, 51, 3, -16, -6, -1, 18, 30], [0, 0, 0, 0, 0, 0, 0, 0], [-604, 13, 6, 46, -23, 2, 13, 5], [0, 0, 0, 0, 0, 0, 0, 0], [112, -67, 17, 48, 5, 25, -7, 43], [0, 0, 0, 0, 0, 0, 0, 0], [190, 52, -16, -32, -28, -10, -16, -36], [0, 0, 0, 0, 0, 0, 0, 0], [93, -36, 11, 32, 29, -24, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0], [-756, -24, -18, 59, -2, -5, -15, 18], [0, 0, 0, 0, 0, 0, 0, 0]], 'ap': [[0, 0, 0, 0, 0, 0, 0, 0], [-2, 1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0, 0, 0], [-2, 0, 0, 0, 0, 0, 0, 1], [-12, 0, -1, 1, 1, 0, 0, 1], [2, 1, 1, 0, 1, 1, 1, -1], [9, -5, 0, 0, -1, 1, 2, 0], [-22, 2, -2, 1, -2, -1, -3, 0], [-23, 0, 0, 0, 0, 0, 0, 0], [-23, 13, -2, -2, -4, 3, -9, 0], [-5, 4, -3, -10, -2, 0, 6, -3], [25, 3, -1, -7, 0, -5, -2, -4], [51, -16, -3, -6, -2, 4, -8, 0], [-102, 3, 3, -9, 4, 6, -3, 4], [69, -16, -1, 10, 0, -12, 18, -5], [44, 12, -4, -25, 0, 7, -19, 0], [-230, -6, 2, -32, 8, 4, 10, -4], [0, -37, -9, 1, 16, 0, 9, 20], [-272, -21, -2, 7, 1, -15, -10, 5], [316, -19, 9, -6, 9, -11, -20, -2], [-98, 6, 8, 22, -11, 10, 8, 9], [92, 5, -1, 26, -4, 17, -4, 16], [-344, -5, 22, -1, -5, 1, -8, -9], [-70, 51, 3, -16, -6, -1, 18, 30], [93, -36, 11, 32, 29, -24, 6, 6], [355, -58, 3, -16, -23, -12, -22, -29], [-44, 8, -24, -42, -20, -12, -4, 1], [-560, -29, 17, 5, 28, -8, 17, -6], [138, -125, -9, -19, 18, -2, -27, 16], [-59, 19, 2, 6, -23, -23, -46, 0], [-77, 2, -41, -54, -12, -30, -14, -25], [-991, 6, 4, 46, -25, 29, -20, -19], [-150, 66, -6, 10, -6, -40, 46, 10], [-699, -20, -18, 46, -31, -41, -8, -59], [-358, 27, -15, -13, 18, -14, 55, -46], [-238, 51, 41, -54, -13, 15, -4, 4], [-344, 28, -58, -25, -48, -19, -15, 2], [-926, -53, 34, 160, 42, 18, 40, 4], [-418, 18, 50, 100, -52, 52, 40, 36], [325, -16, 73, 58, 33, -2, 32, -45], [-1213, 8, 24, -16, -1, -63, 56, -7], [-195, 204, 58, 79, 26, 52, 76, -6], [126, 105, 43, 24, -64, -33, -62, -61], [-691, -14, -47, 4, 30, 24, -32, -2], [57, 301, 44, 6, 6, 37, -115, -18], [-850, -105, -17, -64, -6, -101, -84, -25], [168, -180, 96, 92, -64, 28, 42, -110], [-1667, 51, 24, 80, -7, -23, 90, 47], [-1390, 50, -61, -179, -15, -18, 6, 33], [-608, 243, -93, -11, 26, -48, -9, -14], [-48, 184, 60, 64, -11, 50, -70, 81], [56, 47, 31, -102, -47, 55, -44, -152], [1253, -156, 85, 248, -75, -46, -32, -56], [-918, -245, -52, -1, 33, 41, 108, 237], [-176, 178, -38, -310, 1, 50, -60, 77], [-1530, -453, -1, 80, 74, -67, 158, 58], [682, -267, -31, -78, 95, 87, 1, 77], [-1000, -314, 102, 176, -76, 98, -12, 20], [2047, -1, 160, 30, 16, -41, -59, -48], [543, 662, 39, -106, 3, 116, -252, -22], [1754, -453, -14, 93, 53, -3, -38, 13], [-456, 76, 18, -305, -60, -111, 133, -26], [-644, 260, -80, -10, 68, 110, 72, -74], [-657, -152, 95, -298, 72, 58, -70, -77], [212, 379, 31, -30, 18, -149, 86, -152], [185, -502, 101, -102, 71, 122, 64, 205], [1967, 100, 74, 86, 153, -11, 180, 47], [110, 107, 17, -196, 152, 133, -44, 206], [1079, 147, -126, -230, 75, -33, -72, -159], [1824, -767, -99, 26, -45, -19, -39, -159], [32, 128, 20, 224, -145, -14, 244, -125], [-1618, 61, -25, 238, -160, -89, 158, -74], [-118, -633, 45, 276, -22, 97, -30, -299], [-1005, 312, 62, -315, 94, 160, -328, 12], [2622, 280, -100, -151, -8, -11, -361, -196], [554, 266, -210, -260, 0, 172, -182, 126], [768, -200, -222, -87, 64, -113, -157, 66], [706, -395, -37, 524, 115, 115, 159, -167], [307, -331, -198, -144, -131, -75, 88, -228], [830, 806, 248, 484, -83, 104, -128, -159], [-3192, -400, -68, -291, 128, 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1226], [-28768, -15094, 4122, -1388, 268, 804, 7894, -1367], [-52621, -5262, 3163, 8220, -2317, 1978, 1258, -6156], [15477, -10649, 286, -6736, 896, -455, 845, 1336], [30197, 10278, -507, -5566, -4172, 4038, -4850, -1613], [-100822, -2298, 926, 2597, 1668, 1369, 4349, 5110], [76833, 1588, 703, 9658, -618, -1316, -270, -1288], [-134620, -2253, -514, 6465, -497, 1331, 1958, 231], [-13831, 8753, 2050, 5222, 301, 1517, -1656, 31], [23873, 1614, -2443, 602, 924, -3082, 5830, -768], [-80299, 6341, 2142, 6240, -2902, 1285, -1353, -3266], [-35656, -4134, 5733, -3741, 217, 2208, 634, -5251], [-27596, -2538, 2, -2959, 1390, 1509, -1529, 3626], [4578, -2819, -3599, 3940, -3788, 1889, -1630, 4716], [112494, 5371, -3991, -1194, 461, -2085, -4175, -857], [14791, -13455, -280, 3088, 1999, -249, -5086, 2661], [-45176, 9962, 1494, 548, -88, -626, -4408, -1634], [34454, -13259, 1263, -1686, 3368, 821, 9034, -1718], [-12608, -4533, -433, -6050, 2160, 2725, 3906, 4708], [53913, 6432, 2748, -5321, 2262, 758, 5072, 3982], [22526, 3993, -865, -5829, -860, -460, 4097, 3496], [-28985, 8123, 430, 1864, -1921, 1393, -6394, -3731], [-57320, -8644, -1614, 4560, 242, -1194, -40, 68], [-16041, 798, -185, 1588, 1320, 2848, -7076, 3756], [-6383, -10381, -1260, -88, -166, -2897, 2005, -5978], [-37158, 6294, 62, 10819, -306, 2453, -41, -1540], [40677, -23142, 1003, -1808, 481, 222, -4598, -3015], [-120359, 11762, 3468, -7550, -3053, 3725, -3942, 2035], [-5913, 8552, 2605, -1846, -2030, -1840, -414, -4657]], 'char_orbit_index': 1, 'field_poly': [51084, 45072, -89643, -7924, 6175, 344, -137, -4, 1], 'hecke_orbit_code': 144115188142966208, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 751446, 250482, 375723, 751446, 751446], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [35, 2, 1, 0, 0, 0, 0, 0], [57, 58, 4, -2, -3, 1, 0, -1], [1904, 248, 78, -4, -21, 14, 12, 1], [7296, 3913, 500, -274, -318, 188, 78, -68], [121649, 24620, 6449, -1208, -2526, 2194, 1518, 14], [718143, 295672, 50706, -27330, -28803, 23829, 11388, -4455]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [-35, -2, 1, 0, 0, 0, 0, 0], [4336164, -11382015, 1659151, 640515, -118958, -4689, 1879, -93], [-8344320, 1006530, 5171924, -353877, -233346, 18520, 2746, -247], [10385325, -4313409, -5738121, 1155928, 283119, -45473, -3555, 487], [-16939116, 2239584, 41071541, -4630204, -2104732, 222458, 26303, -2746], [24827184, 42650742, -58336076, 3464273, 2904268, -248248, -35582, 3383]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '1472.4.a.bg', 'level': 1472, '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': [34, 31, 32, 35], 'Nk2': 23552, 'analytic_conductor': 86.85081152845018, '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': [1472, 1, [1151, 645, 833], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 564, 'dim': 132, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 67110336, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 9, 9, 9, 9], 'label': '1472.4.a', 'level': 1472, '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, 23], 'level_radical': 46, 'mf_dim': 588, 'mf_new_dim': 132, 'num_forms': 38, 'plus_dim': 69, 'prim_orbit_index': 1, 'relative_dim': 132, 'sturm_bound': 768, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [132, 0, 0, 0, 0, 0, 0, 0, 1188, 0, 0, 0, -144, 0, 0, 0, 104, 0, 0, 0, 240, 0, 0, 0, 3212, 0, 0, 0, 0, 0, 0, 0, 464, 0, 0, 0, 1008, 0, 0, 0, -392, 0, 0, 0, 0, 0, 0, 0, 6468, 0, 0, 0, 0, 0, 0, 0, -688, 0, 0, 0, 2160, 0, 0, 0, -1536, 0, 0, 0, 0, 0, 0, 0, -296, 0, 0, 0, 0, 0, 0, 0, 8852, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 5832, 0, 0, 0, 1160, 0, 0, 0, 1560, 0, 0, 0, 2208, 0, 0, 0, -6720, 0, 0, 0, -2712, 0, 0, 0, -4776, 0, 0, 0, 16644, 0, 0, 0, 5808, 0, 0, 0, -2000, 0, 0, 0, 8160, 0, 0, 0, -4392, 0, 0, 0, -14472, 0, 0, 0, 5440, 0, 0, 0, -8496, 0, 0, 0, -1464, 0, 0, 0, 12288, 0, 0, 0, 0, 0, 0, 0, 2016, 0, 0, 0, 25068, 0, 0, 0, -4728, 0, 0, 0, -4400, 0, 0, 0, 13104, 0, 0, 0, -1536, 0, 0, 0, 24112, 0, 0, 0, -6168, 0, 0, 0, 12880, 0, 0, 0, -12880, 0, 0, 0, -5136, 0, 0, 0, 8400, 0, 0, 0, 2536, 0, 0, 0, -6496, 0, 0, 0, 23776, 0, 0, 0, 25740, 0, 0, 0, 28672, 0, 0, 0, 7800, 0, 0, 0, -25232, 0, 0, 0, -6712, 0, 0, 0, -32288, 0, 0, 0, 3760, 0, 0, 0, 0, 0, 0, 0, -18456, 0, 0, 0, -11736, 0, 0, 0, -31072, 0, 0, 0, 272, 0, 0, 0, 1632, 0, 0, 0, 12288, 0, 0, 0, -7240, 0, 0, 0, 18656, 0, 0, 0, 55596, 0, 0, 0, 10400, 0, 0, 0, 18592, 0, 0, 0, -21056, 0, 0, 0, -11168, 0, 0, 0, 14064, 0, 0, 0, 1176, 0, 0, 0, -12984, 0, 0, 0, -31888, 0, 0, 0, -47664, 0, 0, 0, -4960, 0, 0, 0, 51632, 0, 0, 0, 6248, 0, 0, 0, -9152, 0, 0, 0, 0, 0, 0, 0, -10464, 0, 0, 0, 15176, 0, 0, 0, 23584, 0, 0, 0, 57732, 0, 0, 0, 55952, 0, 0, 0, -36600, 0, 0, 0, 43344, 0, 0, 0, -30192, 0, 0, 0, -9944, 0, 0, 0, -36864, 0, 0, 0, 26816, 0, 0, 0, -42304, 0, 0, 0, 67872, 0, 0, 0, 15880, 0, 0, 0, 69216, 0, 0, 0, 1432, 0, 0, 0, -74624, 0, 0, 0, 56320, 0, 0, 0, 7056, 0, 0, 0, 68536, 0, 0, 0, 109696, 0, 0, 0, -51448, 0, 0, 0, 0, 0, 0, 0, 90948, 0, 0, 0, -74624, 0, 0, 0, 4120, 0, 0, 0, -27784, 0, 0, 0, -52552, 0, 0, 0, 58816, 0, 0, 0, 65568, 0, 0, 0, 63360, 0, 0, 0, 21296, 0, 0, 0, 21360, 0, 0, 0, 44640, 0, 0, 0, 7328, 0, 0, 0, 52384, 0, 0, 0, -46944, 0, 0, 0, -51808, 0, 0, 0, 112224, 0, 0, 0, -73184, 0, 0, 0, -59824, 0, 0, 0, -28864, 0, 0, 0, -76144, 0, 0, 0, -77736, 0, 0, 0, 60464, 0, 0, 0, 69828, 0, 0, 0, -114184, 0, 0, 0, -62464, 0, 0, 0, -18336, 0, 0, 0, -416, 0, 0, 0, -117856, 0, 0, 0, 32448, 0, 0, 0, -13472, 0, 0, 0, -54080, 0, 0, 0, -133728, 0, 0, 0, -13160, 0, 0, 0, -211072, 0, 0, 0, -75000, 0, 0, 0, -15584, 0, 0, 0, -68160, 0, 0, 0, 19184, 0, 0, 0, 5400, 0, 0, 0, 2528, 0, 0, 0, -20040, 0, 0, 0, -96784, 0, 0, 0, 9312, 0, 0, 0, -5216, 0, 0, 0, 20312, 0, 0, 0, -35880, 0, 0, 0, -72860, 0, 0, 0, -17696, 0, 0, 0, -56272, 0, 0, 0, -19824, 0, 0, 0, -39736, 0, 0, 0, -133088, 0, 0, 0, -144112, 0, 0, 0, -50192, 0, 0, 0, 88072, 0, 0, 0, -11456, 0, 0, 0, 81568, 0, 0, 0, 154976, 0, 0, 0, -103320, 0, 0, 0, 213936, 0, 0, 0, 73968, 0, 0, 0, -40832, 0, 0, 0, -24448, 0, 0, 0, 100288, 0, 0, 0, 34160, 0, 0, 0, -56080, 0, 0, 0, -26912, 0, 0, 0, -95760, 0, 0, 0, 0, 0, 0, 0, -216568, 0, 0, 0, 4896, 0, 0, 0, -261792, 0, 0, 0, 80868, 0, 0, 0, 80096, 0, 0, 0, 45232, 0, 0, 0, -94448, 0, 0, 0, -8480, 0, 0, 0, -112480, 0, 0, 0, -130576, 0, 0, 0, -78288, 0, 0, 0, -156648, 0, 0, 0, 161984, 0, 0, 0, -142680, 0, 0, 0, -67616, 0, 0, 0, -205984, 0, 0, 0, -56880, 0, 0, 0, 163936, 0, 0, 0, -39920, 0, 0, 0, -10016, 0, 0, 0, -199936, 0, 0, 0, 24824, 0, 0, 0, 0, 0, 0, 0, 183464, 0, 0, 0, -188832, 0, 0, 0, -52336, 0, 0, 0, -148040, 0, 0, 0, 3984, 0, 0, 0, 147112, 0, 0, 0, -115448, 0, 0, 0, 37224, 0, 0, 0, 48332, 0, 0, 0, -182240, 0, 0, 0, 29264, 0, 0, 0, -65544, 0, 0, 0, -30120, 0, 0, 0, 427984, 0, 0, 0, 160800, 0, 0, 0, 189408, 0, 0, 0, -31000, 0, 0, 0, -205176, 0, 0, 0, -9464, 0, 0, 0, -33152, 0, 0, 0, -47072, 0, 0, 0, -31488, 0, 0, 0, 58512, 0, 0, 0, -15488, 0, 0, 0, -128192, 0, 0, 0, -130856, 0, 0, 0, 66352, 0, 0, 0, -151184, 0, 0, 0, 73584, 0, 0, 0, 126720, 0, 0, 0, -111704, 0, 0, 0, 193656, 0, 0, 0, -37544, 0, 0, 0, 222128, 0, 0, 0, -59936, 0, 0, 0, 215400, 0, 0, 0, 97112, 0, 0, 0, 72160, 0, 0, 0, 47268, 0, 0, 0, 457600, 0, 0, 0, 71136, 0, 0, 0, -87344, 0, 0, 0, -10264, 0, 0, 0, 354976, 0, 0, 0, 104960, 0, 0, 0, 54096, 0, 0, 0, 36576, 0, 0, 0, -303000, 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: 743740
    {'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '1472.4.a.bg', 'source_level': 1472, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '736.4.a.e', 'target_level': 736, 'twist_class_label': '736.4.a.e', 'twist_class_level': 736, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 4}
  • id: 743741
    {'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '1472.4.a.bg', 'source_level': 1472, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '736.4.a.f', 'target_level': 736, 'twist_class_label': '736.4.a.e', 'twist_class_level': 736, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 4}
  • id: 743742
    {'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '1472.4.a.bg', 'source_level': 1472, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '1472.4.a.bg', 'target_level': 1472, 'twist_class_label': '736.4.a.e', 'twist_class_level': 736, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
  • id: 743743
    {'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 33, 'source_is_minimal': False, 'source_label': '1472.4.a.bg', 'source_level': 1472, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '1472.4.a.bh', 'target_level': 1472, 'twist_class_label': '736.4.a.e', 'twist_class_level': 736, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 1977300
    {'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 144115188142966208, 'p': 2}
  • id: 1977301
    {'charpoly_factorization': [[[-179952, -210540, 4757, 32868, 1395, -1188, -81, 12, 1], 1]], 'hecke_orbit_code': 144115188142966208, 'p': 3}
  • id: 1977302
    {'charpoly_factorization': [[[43708192, 5210448, -3151736, -285872, 65396, 3708, -442, -12, 1], 1]], 'hecke_orbit_code': 144115188142966208, 'p': 5}
  • id: 1977303
    {'charpoly_factorization': [[[-6377755008, 2008247712, -169990232, -3879896, 933020, -7560, -1650, 14, 1], 1]], 'hecke_orbit_code': 144115188142966208, 'p': 7}
  • id: 1977304
    {'charpoly_factorization': [[[8187544416, -6715951824, 1013623208, 151668800, -4764, -292828, -2514, 88, 1], 1]], 'hecke_orbit_code': 144115188142966208, 'p': 11}
  • id: 1977305
    {'charpoly_factorization': [[[3821115836436, 108370833876, -16852462655, -240787958, 21613251, 136864, -8953, -30, 1], 1]], 'hecke_orbit_code': 144115188142966208, 'p': 13}
  • id: 1977306
    {'charpoly_factorization': [[[-18868965322784, -70575956192, 118757099544, -4443310648, 19620388, 1255032, -14590, -58, 1], 1]], 'hecke_orbit_code': 144115188142966208, 'p': 17}
  • id: 1977307
    {'charpoly_factorization': [[[-349561386749184, -4554468974208, 677766184064, 13861421472, -91073088, -3354040, -8456, 190, 1], 1]], 'hecke_orbit_code': 144115188142966208, 'p': 19}
  • id: 1977308
    {'charpoly_factorization': [[[23, 1], 8]], 'hecke_orbit_code': 144115188142966208, 'p': 23}
  • id: 1977309
    {'charpoly_factorization': [[[-46621978726055732, -2502313374251904, -20558688387183, 480634535630, 3260070139, -19769132, -113209, 190, 1], 1]], 'hecke_orbit_code': 144115188142966208, 'p': 29}
  • id: 1977310
    {'charpoly_factorization': [[[100328802625382592, -2333742634613760, -40892922568327, 558863131340, 5737179563, -12725144, -149997, 60, 1], 1]], 'hecke_orbit_code': 144115188142966208, 'p': 31}
  • id: 1977311
    {'charpoly_factorization': [[[-180113889841504, -163702169879664, -3282405293784, 119287372240, 2763462292, 7009068, -99810, -156, 1], 1]], 'hecke_orbit_code': 144115188142966208, 'p': 37}
  • id: 1977312
    {'charpoly_factorization': [[[15572152074803596, 317711788322320, -25872148115431, -120862206538, 5743355403, 24518068, -144401, -282, 1], 1]], 'hecke_orbit_code': 144115188142966208, 'p': 41}
  • id: 1977313
    {'charpoly_factorization': [[[-1358114770226724864, 587417635037184, 257367680365568, 724215897600, -11496609216, -49952544, 112780, 810, 1], 1]], 'hecke_orbit_code': 144115188142966208, 'p': 43}
  • id: 1977314
    {'charpoly_factorization': [[[112085927521113023856, 1344946098114625776, -2680216071644767, -35822609636484, 50837510059, 290615736, -473381, -564, 1], 1]], 'hecke_orbit_code': 144115188142966208, 'p': 47}
  • id: 1977315
    {'charpoly_factorization': [[[-491518739809556224, 68652717054180480, -1077751394707840, -3794781278368, 62966530336, 98097656, -620888, -230, 1], 1]], 'hecke_orbit_code': 144115188142966208, 'p': 53}
  • id: 1977316
    {'charpoly_factorization': [[[-74806513072486785024, 400755916299546624, 10462759834113536, -2478675749632, -281261388224, -433313216, 762632, 1916, 1], 1]], 'hecke_orbit_code': 144115188142966208, 'p': 59}
  • id: 1977317
    {'charpoly_factorization': [[[1712609496223041180416, 2910395570664386432, -54363471734484736, -22682657965152, 425904988672, 21710536, -1159264, 22, 1], 1]], 'hecke_orbit_code': 144115188142966208, 'p': 61}
  • id: 1977318
    {'charpoly_factorization': [[[789749824225440769632, 7600292478243513936, -15533993154697528, -292764457281584, -838609377052, -481296676, 1387782, 2292, 1], 1]], 'hecke_orbit_code': 144115188142966208, 'p': 67}
  • id: 1977319
    {'charpoly_factorization': [[[-7628971451813720536368, -16845991271004191208, 235592586344694061, -174633859499496, -1143055654141, 1673030776, 812327, -2376, 1], 1]], 'hecke_orbit_code': 144115188142966208, 'p': 71}
  • id: 1977320
    {'charpoly_factorization': [[[43504549517283837900, -8704995312224334480, -24250358520490151, 156252827419462, 311442669579, -603361740, -1037969, 630, 1], 1]], 'hecke_orbit_code': 144115188142966208, 'p': 73}
  • id: 1977321
    {'charpoly_factorization': [[[1143125056206461703168, -20702921647527288576, 127095180557609536, -264436908484928, -221383861008, 1429748400, -1100692, -892, 1], 1]], 'hecke_orbit_code': 144115188142966208, 'p': 79}
  • id: 1977322
    {'charpoly_factorization': [[[-5036963114718834336, 145495936356033360, 11739466129867592, -48653792457568, -374644234044, 77876476, 2160438, 2800, 1], 1]], 'hecke_orbit_code': 144115188142966208, 'p': 83}
  • id: 1977323
    {'charpoly_factorization': [[[11003446370427763523584, 25837975741561290752, -644857869952714752, 715240896201216, 2761716634432, -982496672, -3059180, 308, 1], 1]], 'hecke_orbit_code': 144115188142966208, 'p': 89}
  • id: 1977324
    {'charpoly_factorization': [[[55646804877054948813408, 324299305045547204256, -1780032868971456488, -2119458478467080, 5064030092996, 2761555576, -4168958, -854, 1], 1]], 'hecke_orbit_code': 144115188142966208, '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': '1472.4.a.bg', 'level': 1472, 'portrait': 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', 'weight': 4}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 69227053
    {'hecke_orbit_code': 144115188142966208, 'n': 1, 'trace_an': 8}
  • id: 69227054
    {'hecke_orbit_code': 144115188142966208, 'n': 2, 'trace_an': 0}
  • id: 69227055
    {'hecke_orbit_code': 144115188142966208, 'n': 3, 'trace_an': -12}
  • id: 69227056
    {'hecke_orbit_code': 144115188142966208, 'n': 4, 'trace_an': 0}
  • id: 69227057
    {'hecke_orbit_code': 144115188142966208, 'n': 5, 'trace_an': 12}
  • id: 69227058
    {'hecke_orbit_code': 144115188142966208, 'n': 6, 'trace_an': 0}
  • id: 69227059
    {'hecke_orbit_code': 144115188142966208, 'n': 7, 'trace_an': -14}
  • id: 69227060
    {'hecke_orbit_code': 144115188142966208, 'n': 8, 'trace_an': 0}
  • id: 69227061
    {'hecke_orbit_code': 144115188142966208, 'n': 9, 'trace_an': 90}
  • id: 69227062
    {'hecke_orbit_code': 144115188142966208, 'n': 10, 'trace_an': 0}
  • id: 69227063
    {'hecke_orbit_code': 144115188142966208, 'n': 11, 'trace_an': -88}
  • id: 69227064
    {'hecke_orbit_code': 144115188142966208, 'n': 12, 'trace_an': 0}
  • id: 69227065
    {'hecke_orbit_code': 144115188142966208, 'n': 13, 'trace_an': 30}
  • id: 69227066
    {'hecke_orbit_code': 144115188142966208, 'n': 14, 'trace_an': 0}
  • id: 69227067
    {'hecke_orbit_code': 144115188142966208, 'n': 15, 'trace_an': 30}
  • id: 69227068
    {'hecke_orbit_code': 144115188142966208, 'n': 16, 'trace_an': 0}
  • id: 69227069
    {'hecke_orbit_code': 144115188142966208, 'n': 17, 'trace_an': 58}
  • id: 69227070
    {'hecke_orbit_code': 144115188142966208, 'n': 18, 'trace_an': 0}
  • id: 69227071
    {'hecke_orbit_code': 144115188142966208, 'n': 19, 'trace_an': -190}
  • id: 69227072
    {'hecke_orbit_code': 144115188142966208, 'n': 20, 'trace_an': 0}
  • id: 69227073
    {'hecke_orbit_code': 144115188142966208, 'n': 21, 'trace_an': 66}
  • id: 69227074
    {'hecke_orbit_code': 144115188142966208, 'n': 22, 'trace_an': 0}
  • id: 69227075
    {'hecke_orbit_code': 144115188142966208, 'n': 23, 'trace_an': -184}
  • id: 69227076
    {'hecke_orbit_code': 144115188142966208, 'n': 24, 'trace_an': 0}
  • id: 69227077
    {'hecke_orbit_code': 144115188142966208, 'n': 25, 'trace_an': 28}
  • id: 69227078
    {'hecke_orbit_code': 144115188142966208, 'n': 26, 'trace_an': 0}
  • id: 69227079
    {'hecke_orbit_code': 144115188142966208, 'n': 27, 'trace_an': -432}
  • id: 69227080
    {'hecke_orbit_code': 144115188142966208, 'n': 28, 'trace_an': 0}
  • id: 69227081
    {'hecke_orbit_code': 144115188142966208, 'n': 29, 'trace_an': -190}
  • id: 69227082
    {'hecke_orbit_code': 144115188142966208, 'n': 30, 'trace_an': 0}
  • id: 69227083
    {'hecke_orbit_code': 144115188142966208, 'n': 31, 'trace_an': -60}
  • id: 69227084
    {'hecke_orbit_code': 144115188142966208, 'n': 32, 'trace_an': 0}
  • id: 69227085
    {'hecke_orbit_code': 144115188142966208, 'n': 33, 'trace_an': 346}
  • id: 69227086
    {'hecke_orbit_code': 144115188142966208, 'n': 34, 'trace_an': 0}
  • id: 69227087
    {'hecke_orbit_code': 144115188142966208, 'n': 35, 'trace_an': -192}
  • id: 69227088
    {'hecke_orbit_code': 144115188142966208, 'n': 36, 'trace_an': 0}
  • id: 69227089
    {'hecke_orbit_code': 144115188142966208, 'n': 37, 'trace_an': 156}
  • id: 69227090
    {'hecke_orbit_code': 144115188142966208, 'n': 38, 'trace_an': 0}
  • id: 69227091
    {'hecke_orbit_code': 144115188142966208, 'n': 39, 'trace_an': 156}
  • id: 69227092
    {'hecke_orbit_code': 144115188142966208, 'n': 40, 'trace_an': 0}
  • id: 69227093
    {'hecke_orbit_code': 144115188142966208, 'n': 41, 'trace_an': 282}
  • id: 69227094
    {'hecke_orbit_code': 144115188142966208, 'n': 42, 'trace_an': 0}
  • id: 69227095
    {'hecke_orbit_code': 144115188142966208, 'n': 43, 'trace_an': -810}
  • id: 69227096
    {'hecke_orbit_code': 144115188142966208, 'n': 44, 'trace_an': 0}
  • id: 69227097
    {'hecke_orbit_code': 144115188142966208, 'n': 45, 'trace_an': -358}
  • id: 69227098
    {'hecke_orbit_code': 144115188142966208, 'n': 46, 'trace_an': 0}
  • id: 69227099
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  • id: 69227100
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  • id: 69227101
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  • id: 69227102
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  • id: 69227103
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  • id: 69227104
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  • id: 69227105
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  • id: 69227106
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  • id: 69227107
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  • id: 69227108
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  • id: 69227109
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  • id: 69227110
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  • id: 69227111
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  • id: 69227112
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  • id: 69227113
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  • id: 69227114
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  • id: 69227115
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  • id: 69227116
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  • id: 69227117
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  • id: 69227118
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  • id: 69227119
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  • id: 69227120
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  • id: 69227121
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  • id: 69227122
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  • id: 69227123
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  • id: 69227124
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  • id: 69227125
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  • id: 69227126
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  • id: 69227127
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  • id: 69227128
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  • id: 69227129
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  • id: 69227130
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  • id: 69227131
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  • id: 69227132
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  • id: 69227133
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  • id: 69227134
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  • id: 69227135
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  • id: 69227136
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  • id: 69227137
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  • id: 69227138
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  • id: 69227139
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  • id: 69227140
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  • id: 69227141
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  • id: 69227142
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  • id: 69227143
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  • id: 69227144
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  • id: 69227145
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  • id: 69227146
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  • id: 69227147
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  • id: 69227148
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  • id: 69227149
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  • id: 69227150
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  • id: 69227151
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  • id: 69227152
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  • id: 69227153
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  • id: 69227154
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  • id: 69227155
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  • id: 69227156
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  • id: 69227157
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  • id: 69227158
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  • id: 69227159
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  • id: 69227160
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  • id: 69227161
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  • id: 69227162
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  • id: 69227163
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  • id: 69227164
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  • id: 69227165
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  • id: 69227166
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  • id: 69227167
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  • id: 69227168
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  • id: 69227169
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  • id: 69227170
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  • id: 69227171
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  • id: 69227172
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  • id: 69227173
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  • id: 69227174
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  • id: 69227175
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  • id: 69227176
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  • id: 69227177
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  • id: 69227178
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  • id: 69227179
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  • id: 69227180
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  • id: 69227181
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  • id: 69227182
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  • id: 69227183
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  • id: 69227184
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  • id: 69227185
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  • id: 69227186
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  • id: 69227187
    {'hecke_orbit_code': 144115188142966208, 'n': 256, 'trace_an': 0}
  • id: 69227188
    {'hecke_orbit_code': 144115188142966208, 'n': 257, 'trace_an': -1994}
  • id: 69227189
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  • id: 69227190
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  • id: 69227191
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  • id: 69227192
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  • id: 69227193
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  • id: 69227194
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  • id: 69227195
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  • id: 69227196
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  • id: 69227197
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  • id: 69227198
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  • id: 69227199
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  • id: 69227200
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  • id: 69227201
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  • id: 69227202
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  • id: 69227203
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  • id: 69227204
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  • id: 69227205
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  • id: 69227206
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  • id: 69227207
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  • id: 69227208
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  • id: 69227209
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  • id: 69227210
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  • id: 69227211
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  • id: 69227212
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  • id: 69227213
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  • id: 69227214
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  • id: 69227215
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  • id: 69227216
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  • id: 69227217
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  • id: 69227218
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  • id: 69227219
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  • id: 69227220
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  • id: 69227221
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  • id: 69227222
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  • id: 69227223
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  • id: 69227224
    {'hecke_orbit_code': 144115188142966208, 'n': 457, 'trace_an': 23062}
  • id: 69227225
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  • id: 69227226
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  • id: 69227227
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  • id: 69227228
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  • id: 69227229
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  • id: 69227230
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  • id: 69227231
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  • id: 69227232
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  • id: 69227233
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  • id: 69227234
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  • id: 69227235
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  • id: 69227236
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  • id: 69227237
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  • id: 69227238
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  • id: 69227239
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  • id: 69227240
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  • id: 69227241
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  • id: 69227242
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  • id: 69227243
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  • id: 69227244
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  • id: 69227245
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  • id: 69227246
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  • id: 69227247
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  • id: 69227248
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  • id: 69227249
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  • id: 69227250
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  • id: 69227251
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  • id: 69227252
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  • id: 69227253
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  • id: 69227254
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  • id: 69227255
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  • id: 69227256
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  • id: 69227257
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  • id: 69227258
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  • id: 69227259
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  • id: 69227260
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  • id: 69227261
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  • id: 69227262
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  • id: 69227263
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  • id: 69227264
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  • id: 69227265
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  • id: 69227266
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  • id: 69227267
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  • id: 69227268
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  • id: 69227269
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  • id: 69227270
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  • id: 69227271
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  • id: 69227272
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  • id: 69227273
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  • id: 69227274
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  • id: 69227275
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  • id: 69227276
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  • id: 69227277
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  • id: 69227278
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  • id: 69227279
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  • id: 69227280
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  • id: 69227281
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  • id: 69227282
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  • id: 69227283
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  • id: 69227284
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  • id: 69227285
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  • id: 69227286
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  • id: 69227287
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  • id: 69227288
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  • id: 69227289
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  • id: 69227290
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  • id: 69227291
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  • id: 69227292
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  • id: 69227293
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  • id: 69227294
    {'hecke_orbit_code': 144115188142966208, 'n': 883, 'trace_an': -56888}
  • id: 69227295
    {'hecke_orbit_code': 144115188142966208, 'n': 887, 'trace_an': -65336}
  • id: 69227296
    {'hecke_orbit_code': 144115188142966208, 'n': 907, 'trace_an': 90998}
  • id: 69227297
    {'hecke_orbit_code': 144115188142966208, 'n': 911, 'trace_an': 68540}
  • id: 69227298
    {'hecke_orbit_code': 144115188142966208, 'n': 919, 'trace_an': -96994}
  • id: 69227299
    {'hecke_orbit_code': 144115188142966208, 'n': 929, 'trace_an': -43746}
  • id: 69227300
    {'hecke_orbit_code': 144115188142966208, 'n': 937, 'trace_an': -101790}
  • id: 69227301
    {'hecke_orbit_code': 144115188142966208, 'n': 941, 'trace_an': 107772}
  • id: 69227302
    {'hecke_orbit_code': 144115188142966208, 'n': 947, 'trace_an': -46544}
  • id: 69227303
    {'hecke_orbit_code': 144115188142966208, 'n': 953, 'trace_an': 88092}
  • id: 69227304
    {'hecke_orbit_code': 144115188142966208, 'n': 961, 'trace_an': 65266}
  • id: 69227305
    {'hecke_orbit_code': 144115188142966208, 'n': 967, 'trace_an': -179320}
  • id: 69227306
    {'hecke_orbit_code': 144115188142966208, 'n': 971, 'trace_an': 54542}
  • id: 69227307
    {'hecke_orbit_code': 144115188142966208, 'n': 977, 'trace_an': -15910}
  • id: 69227308
    {'hecke_orbit_code': 144115188142966208, 'n': 983, 'trace_an': 20028}
  • id: 69227309
    {'hecke_orbit_code': 144115188142966208, 'n': 991, 'trace_an': -80072}
  • id: 69227310
    {'hecke_orbit_code': 144115188142966208, 'n': 997, 'trace_an': -152048}