Newform data - 77.4.a.c

Formats: - HTML - YAML - JSON - 2024-09-14T05:01:07.132444

• 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': 1232, 'analytic_conductor': 4.543147070442028, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[7, 1], [11, -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': [77, 1, [45, 57], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 509800, 'field_disc_factorization': [[2, 3], [5, 2], [2549, 1]], 'field_poly': [15, 5, -10, -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': [[2, [66, -56, -19, 4, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199321849933, 'hecke_ring_generator_nbound': 3, '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': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '77.4.a.c', 'level': 77, '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': True, 'level_primes': [7, 11], 'level_radical': 77, 'minimal_twist': '77.4.a.c', 'nf_label': '4.4.509800.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{2})q^{2}+(-3+\\beta _{3})q^{3}+(6+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '77.4.a', 'trace_display': [-4, -12, -18, -28], 'trace_hash': 1445673725602810807, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.733', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '38.129', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '583.641', 'prec': 24}], 'trace_zratio': 0, 'traces': [4, -4, -12, 22, -18, 2, -28, -60, 66, -92, 44, -186, -134, 28, -62, -6, -74, -256, -164, 116, 84, -44, 194, 570, 38, 734, -510, -154, -108, 1252, -412, -4, -132, -346, 126, 1518, 286, 224, -256, -540, -18, -14, -496, 242, 580, -284, 62, -862, 196, 212, -508, -822, -828, 2420, -198, 420, 700, 1388, -1224, -1776, -350, -878, -462, -718, -396, 22, -1498, 1058, -386, 644, 2326, -3000, -1630, -1156, -1362, -3152, -308, -2464, -1020, 3072, 1128, 2118, -1920, 1302, 2008, 1056, 1640, -660, 1550, -5780, 938, 2592, 6046, -1042, 2332, 4082, -2202, -196, 726, 2014, -46, 4568, -1954, 2150, 434, -2892, -1060, -7440, 2488, -1012, -918, 42, 3598, 4760, -2430, -6184, -1150, 2474, 518, 4740, 484, 2450, -2164, -2546, 1770, 1792, -2188, 20, 6304, -2124, 792, -2046, 1148, -1252, -3470, -2130, 450, -4664, -4, 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98, -3098, -14260, -5610, -16360, -3560, -13186, 3472, -9256, 1616, 23416, -4872, -21754, -6332, -1694, 7844, 44436, -19810, -27760, -11074, 20292, -4060, -5600, 94, 21996, -1188, 4776, -1548, 1988, -736, 18954, 9390, -1156, 1260, 7390, -434, 13772, -9170, 3480, -1836, -832, 20670, 6034, -900, -22144, -21706, 16484, -4532, -7408, -1372, 26000, 2914, -17202, -5036, 31900, 58, -1484, 32360, -44, 7486, -25180, -11050, 2440, 3556, -17720, 15264, -40500, 30396, 12272, -1452, 5754, -5888, -17416, -4688, -21156, 12554, -6128, 5796, 65928, 13116, -3806, 16698, 9430, 6012, -16940, 7786, 18456, -19308, 24456, 38164, -29110, 1386, -22672, -31136, -4716, -2522, -30144, -2324, -2940, 13476, 34576, 3540, 16698, -2652, -15210, -4900, -6562, -3088, 38288, -12488, -24718, 38470, -9716, 3146, 23880, 7506, -17212, 46662, -16642, 8568, 5956, 22952, -27746, -12300, 2464, -5830, 12432, -13644, -27112, -15258, 3700, 5342, -1256, 2450, -40360, -2816, 44560, 7232, -27700, -31826, 6146, 22580, 10864, -48708, -36384, 17384, -5940, 3234, 996, 3098, -26744, 3310, 41662, 4400, 5026, 23102, 32, -198, 5864, -18764, -34436, 2772, -28840, 5172, -35976, -17380, -16500, -1286, -154, 18166, 5552, -7434, -1804, 13476, -64310, 10486, 29500, 27522, 35490, -5456, -7480, -28536, -7406, -5232, -24616, 14444, -19308, -30116, -7674, 2702, 2662, 6082, 58262, -13878, 8010, 6344, -4508, 15388, 8, -20412, -81016, 6380, -50662, -16282, 32536, -1612, -18220, -22708, -37138, 16844, 21000, -35724, -3124, 15556, 15496, -30706, 15408, 11410, 40236, 31900, -28776, 29204, 87952, 682, 8092, 5864, 44980, 5542, 49604, -24204, -17364, 9534, 6512, -6388, -9482, -5802, 31584, -28722, 22064, 44836, 38100, 3556, -7620, -49270, -41528, 2156, -77460, 10252, 37564, 47126, -17946, -36144, 17248, -3928, -51540, 35838, 2332, 66984, 25000, 7140, -24904, -43758, 31528, 20328, 78058, 7440, -21504, -5588, 17116, 15928, 38396, -23282, 45132, -7896, -30740, -29484, -106960, 7768, -9042, -23014, -14826, 20292, -9962, 29214, 4448, 38464, -20528, 13440, -9332, -9108, 42250, -74596, -6238, 12406, -9114, -39668, 43828, -928, 57536, -17678, 26620, -14056, 24580, -19060, 76400, 23316, 24310, -8006, -7392, 28352, 58648, -2178, -93456, -26524, 32864, -11480, -35588, -29760, 51402, -30056, 1572, 68196, 4620, -28516, 55636, -28952, -71168, -30590, 22990, -10850, 117544, -42416, -41496, 7700, -74716, -256, 40460, 28542, 33200, 9476, 34696, 73340, 13892, -6566, 15268, 35016, 28900, 59286, 7128, -8076, -18144, 32304, 2536, -57728, -101760, -13464, 29890, -42322, -16652, -38358, -71020, -55868, -59278, -32858, 7294, -10244, -19536, -10002, 58640, 60376, 23760, -16324, -97084, -52716, 14776, 5254, -16920, -3850, -28574, -95872, -8700, -13740, 45982, 32614, -8764, 15414, -41740, 29912, -9658, 16432, -35576, -67034, 1372, 18830, -55776, -22092, 94176, -54432, -374, -5082, -52024, 19572, -96460, -2572, 60522, -64456, -14098, 184, -149920, 82364, -7898, -19528, 34744, 322, 102120, 39066, -41320, -33120, -71800, 38678, -31976, -4356, 65140, 14520, 10056, -9404, 126880, 13678, 59564, -23864, -126856, -37712, 242, 1708, -15050, 4188, 30268, -23824, -25752, 17422, 16678, -3038, -15724, -16478, 96726, -22500, 82764, 90960, 20244, -12120, -124500, 19820, 55664, 1032, 11638, 7420, -84808, 59798, -20818, 52066, -111452, -21500, 52080, 22432, 46004, -4246, 28560, -24898, 179568, -17416, 6412, 56100, -60734, 54896, 64778, -20578, 7084, -11608, 7476, 77032, 140976, -19274, 25900, 6426, 60672, -102960, 180272, 25586, 1824, 89780, -294, -20438, -145936, 21212, -28228, -84156, 84400, -25186, -33000, 81004, 64252, -80396, 27950, 19326, -33320, -17272, -52028, 37400, 55248, -17930, -51324, 17010, -2232, -30120, 45310, -52432, -108980, 45184, 43288, -93704, -12716, 97904, -62608, -2208, -71686, 8050, -82924, 17512, -189052, 32742, -290, -14982, -17318, -1592, 32492, 60398, 86528, 3852, 14538, -3626, 52040, 48980, -34672, 55030, -6190, 13860, -33180, 23772, 80444, 6196, 38376, -39854, 23798, -3388, 47632, -13376, -25222, -62014, 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33252, -28644, 89368, 6576, -63580, -43996, 117762, 103206, 20972, 41580, 51192, 65938, 44372, -61710, 48040], '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], [-1, 0, 1, 0], [-3, 0, 0, 1], [6, -1, -2, -1], [-5, 1, -2, -1], [-1, 3, -5, -3], [-7, 0, 0, 0], [-14, -2, 2, 3], [18, -3, -6, -5], [-23, 0, -1, 7], [11, 0, 0, 0], [-46, -1, 10, 12], [-32, -3, 10, -4], [7, 0, -7, 0], [-13, -5, 22, 1], [-8, 13, -6, -7], [-18, -1, -10, -6], [-58, -12, 34, 15], [-54, 26, 12, 2], [22, 14, -20, -12], [21, 0, 0, -7], [-11, 0, 11, 0], [59, -21, -10, 1], [142, 1, -40, -24], [16, -13, -2, -9], [196, -25, -34, -4], [-129, 3, 42, 13], [-42, 7, 14, 7], [-42, 30, 40, 12], [325, -24, -37, -35], [-87, -32, -32, 33], [-8, 14, -4, 29], [-33, 0, 0, 11], [-82, -9, 4, 26], [35, -7, 14, 7], [368, 23, -74, -63], [47, 49, 2, -1], [46, 20, -70, 34], [-88, 48, -44, -44], [-134, -2, 74, 28], [22, -53, 18, -14], [7, -21, 35, 21], [-116, -16, 12, 36], [66, -11, -22, -11], [122, 46, -92, -32], [-67, -8, 67, -35], [16, -1, -14, 30], [-204, -23, 150, 18], [49, 0, 0, 0], [72, -38, 36, 3], [-122, -10, 80, 14], [-216, 21, 158, 28], [-214, 14, -68, 4], [605, 0, -197, -75], [-55, 11, -22, -11], [98, 14, -14, -21], [186, -22, 84, -82], [334, 26, -106, -16], [-285, -42, 12, 19], [-418, -52, 256, 86], [-38, -99, -6, -42], [-269, 99, -121, -131], [-126, 21, 42, 35], [-180, 1, -14, 1], [-104, 10, -24, 112], [-11, 33, -55, -33], [-371, -7, -70, -61], [228, 73, -58, -52], [-101, 9, -82, 77], [161, 0, 7, -49], [585, -7, -14, 11], [-752, 4, 296, 189], [-382, -51, 62, 2], [-311, 44, 47, 99], [-364, 47, -14, 38], [-780, -16, -48, -8], [-77, 0, 0, 0], [-596, -40, 44, 272], [-242, -26, -76, 54], [820, -104, -104, -66], [201, 162, -108, -104], [586, -113, 32, -82], [-456, -48, -204, 20], [322, 7, -70, -84], [506, -8, -28, -26], [224, 80, -200, -152], [398, 24, -92, -146], [-154, -22, 22, 33], [317, 141, 166, -99], [-1466, 42, 278, 280], [224, 21, -70, 28], [654, -12, 16, 14], [1577, -131, -230, -89], [-312, 103, -30, -78], [710, -254, 52, 18], [1084, -127, -70, -58], [-521, -59, 30, -57], [-49, 0, 49, 0], [198, -33, -66, -55], [484, 39, 46, -49]], 'ap': [[-1, 0, 1, 0], [-3, 0, 0, 1], [-5, 1, -2, -1], [-7, 0, 0, 0], [11, 0, 0, 0], [-32, -3, 10, -4], [-18, -1, -10, -6], [-54, 26, 12, 2], [59, -21, -10, 1], [-42, 30, 40, 12], [-87, -32, -32, 33], [47, 49, 2, -1], [22, -53, 18, -14], [-116, -16, 12, 36], [16, -1, -14, 30], [-214, 14, -68, 4], [-285, -42, 12, 19], [-38, -99, -6, -42], [-371, -7, -70, -61], [585, -7, -14, 11], [-382, -51, 62, 2], [-242, -26, -76, 54], [-456, -48, -204, 20], [317, 141, 166, -99], [-521, -59, 30, -57], [-12, 1, 294, 32], [-564, 151, -30, 10], [-406, 282, 336, -14], [688, -132, 12, 66], [849, 101, 242, -63], [-638, 182, -164, -202], [270, -144, 180, 130], [129, -33, 174, 361], [58, -118, -200, -102], [350, -20, -300, 40], [1182, -286, -228, -58], [-1213, 145, 398, 127], [-2500, 38, -244, -188], [-466, 98, -52, -206], [-868, 257, -310, -48], [1289, 227, -202, -253], [-1839, 737, 470, 237], [365, -293, 366, -117], [722, -88, -372, 312], [-678, -392, 456, -44], [696, 243, -158, -82], [-494, -86, -624, -22], [521, -258, 788, 133], [-1180, 158, -700, 68], [-195, 353, -562, 89], [-1590, -158, -360, -636], [-72, 392, -308, 88], [1356, 245, 54, -44], [395, 544, -392, 399], [-718, -336, -824, -216], [-122, 238, 104, -606], [-314, -128, -976, -320], [-428, -226, 480, -688], [76, 310, -352, 18], [-712, 296, 420, 22], [-4096, -494, 268, -448], [2338, -207, -58, -146], [-1272, -622, -280, 320], [-4480, -945, -222, 462], [-2899, 261, -1186, -1195], [-67, 181, 754, -71], [-2281, -23, 1106, 629], [-246, 42, 0, 876], [-802, -914, -1332, 874], [18, -7, 1178, -154], [1821, 101, 870, -75], [3492, 648, 548, -1088], [-1947, 1550, 772, -439], [3156, 246, 1724, 1250], [2379, -865, 934, 1021], [10161, -1240, -976, -143], [-875, 489, 1442, 417], [-486, -354, 900, -952], [-782, 20, 992, -296], [2262, -771, -1658, -330], [-1872, 829, 166, 374], [-3058, -706, 1028, -128], [2796, -1976, -848, -632], [-7805, -303, -1250, -581], [4718, -744, -2524, -50], [1769, -1989, 94, 787], [4995, 1561, 1434, 23], [1104, 378, -2620, 74], [-106, -431, -2678, -390], [4141, 801, -2910, 175], [2443, 1852, 1448, -233], [3320, 582, 864, 1276], [-3141, -657, 3182, -271], [4134, -574, -1200, 826], [276, -1358, 116, -980], [4260, -98, -1776, -56], [-8411, 1469, 2686, -367], [1491, -211, -794, -1077], [-6268, 434, 1176, 348], [1652, 1822, -720, -14], [-1232, 500, 4640, 76], [6762, -3360, -1276, -1548], [2636, 2692, 1104, -1112], [-6270, -2202, -2016, 1684], [1612, 660, 2472, -1640], [8635, -2663, -2306, -1725], [2604, 995, -5118, -10], [-3182, -2475, -2446, 1850], [4864, 1930, -124, 2836], [-3048, 2093, 2606, 344], [-6834, 406, -3940, -94], [-8824, 2620, 3728, 1042], [-6622, -1014, -2324, -1096], [-6799, -878, -3132, -1775], [6659, 953, -614, -1283], [13899, 1845, -822, -1137], [-269, -3500, -1368, 1047], [-13029, -2806, 1788, -1185], [-11077, 2975, 1886, 1195], [-2882, 642, -2460, -2822], [-3961, 2921, 2430, 1891], [-23960, -16, 1260, -210], [9810, -3313, -634, 730], [4564, -912, -3304, -2792], [-12609, -1998, 2004, -1833], [648, -1204, -5184, 362], [9931, -329, -3274, -493], [-2379, 56, 2584, -203], [1165, -1476, -1952, 2341], [5436, -2161, -5830, -516], [-4218, -2814, -4884, -2154], [-2608, -844, -4208, 2384], [14305, 1289, -1830, 179], [7174, -3132, 3328, 144], [-7932, 3415, 774, -1976], [-6380, 2471, -2274, -432], [18450, 1616, 816, 2716], [5286, 34, 1088, -1450], [3083, 3497, 5862, -1593], [-12306, -1604, 792, 3524], [10202, 2188, 4728, 2214], [4842, -928, -3096, -2404], [8399, -427, -2430, 2593], [-1168, 1540, -2724, 1552], [15647, -1095, 2606, 1883], [2085, 2760, 4224, 3325], [9414, 259, -2686, -2794], [852, 1719, -1030, 664], [14223, -4744, -920, -2685], [-14052, 632, 4384, 1356], [1714, -134, 4260, -232], [8519, -3803, -794, 3239], [-25404, -2124, -3704, 2600], [2950, 4796, 2496, 1262], [-7000, -2566, 6348, -704], [21776, -454, 1684, 2724], [-6396, -1280, 2604, 3796], [9010, -6726, -2788, 332], [-19552, -1117, -794, 3740], [2474, 3261, 7814, 326], [9557, 4439, -2850, 3599], [-34740, -1214, -484, 1326], [4434, -6730, -4120, -710], [-16555, -146, -84, 2509], [-12947, 6373, 6418, 3165], [2733, 46, 1596, -2967], [-10496, -1006, 2628, -1420], [12884, 7201, -1514, -1392]], 'char_orbit_index': 1, 'field_poly': [15, 5, -10, -1, 1], 'hecke_orbit_code': 9007199321849933, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 2, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [10, 1, 2, 0], [2, 4, 1, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 2, 0, 0], [-5, -1, 1, 0], [3, -7, -1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '77.4.a.c', 'level': 77, 'maxp': 997, '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': [4, 4, 2, 6], 'Nk2': 1232, 'analytic_conductor': 4.543147070442028, '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': [77, 1, [45, 57], [1, 1]], 'conrey_index': 1, 'cusp_dim': 22, 'dim': 16, 'eis_dim': 4, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 67108941, 'hecke_orbit_dims': [1, 2, 4, 4, 5], 'label': '77.4.a', 'level': 77, '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': True, 'level_primes': [7, 11], 'level_radical': 77, 'mf_dim': 26, 'mf_new_dim': 16, 'num_forms': 5, 'plus_dim': 10, 'prim_orbit_index': 1, 'relative_dim': 16, 'sturm_bound': 32, 'trace_bound': 2, 'trace_display': [-4, 4, -24, 0], 'traces': [16, -4, 4, 96, -24, 36, 0, -60, 148, -112, 44, -92, -168, 56, 132, 280, 152, -60, 88, -28, 0, 44, 212, -196, 164, -548, 76, 0, -360, -224, -512, -84, -176, -320, -56, 632, 676, -1036, -480, -384, -184, 28, 296, 440, 836, -760, -436, -1660, 784, 60, -416, 188, 200, 3464, -396, 672, 2672, 376, -2260, -3560, 160, 196, -952, 1848, -104, 0, 436, 1812, 884, 532, 3420, -1412, -360, -200, 2064, -1512, 308, -4584, -784, 2540, 1664, 3304, 1992, 980, -1528, 360, 768, 132, -2508, -11544, -112, 1768, 2940, 1564, 576, -572, -828, -196, 968, 6648, 2400, 3088, 2156, -9292, -2184, -2568, -2936, -7760, -2864, -220, -2060, 2016, -1076, 5272, -2596, -1536, -8016, 10740, 2044, -4336, 1936, 5676, -2592, -7712, -7908, 4032, 2352, -3756, -336, 3816, 3048, -2464, -700, 1224, -6924, -3768, -9268, -1040, 9264, -4368, -1448, 960, -1364, 1160, 4376, 11496, 196, 12504, -2744, 10788, 8408, 1828, 1264, 616, -4724, 22032, -5464, -11312, 5208, 13968, -1344, -3868, -3568, 11068, -4972, -180, -15864, -2380, 10496, 14912, 248, 10344, -5712, -3728, -504, 4752, -1428, 6952, 12868, 5700, -20504, -7364, 2456, -27144, -9164, -18144, 528, 4216, 1680, -15288, 6564, -12132, 3592, -3640, 34392, 4704, -2744, -308, -1876, -14060, -1764, 6908, 4536, -31976, -18520, -7708, 18016, -3372, -2596, -10304, 2920, -17464, -5980, -3400, -2832, 19768, 2968, 17456, 1584, -6336, -4816, 19024, 16672, -2408, 20036, -4208, 1272, 38760, -11280, -10752, 2772, -10280, 1888, 3820, -4848, -1508, 18824, -4004, -2040, -23456, 18064, -484, 7896, -34212, -1176, 4464, 16992, 30924, 2984, -30424, 8444, -10976, 3388, 3896, -2104, 1416, 7968, -34984, -448, -10816, -33568, -33420, -4072, 8008, 1408, 2800, -27756, 14336, -17492, 20688, 3624, 41388, 5992, -21064, 2200, 31848, -8688, -268, -29236, 19236, -10408, -22848, -9832, 16072, 3584, 2112, -1764, -11436, -1744, 22728, 18508, -42884, 26952, 1764, 19116, 17016, -12980, 1192, 13024, 36892, 3304, 12680, 27744, 4376, 20960, -10376, 5440, 3696, 8744, 37832, -6860, -18152, -12228, -376, -13832, 12840, -24724, 71536, 4664, -164, -1208, -6496, -320, -6352, 18720, -14792, -21256, 24688, -4032, 9416, -13444, 36528, 5664, -11064, -12620, -13300, -11112, -22596, -47068, -33096, -5720, -13540, 0, 23624, 756, -22612, -18240, 28160, 13480, 20440, -41920, -12980, 23348, -61656, 8652, -15064, 9632, -63232, 14944, -109928, 27616, 63408, 484, -15596, 3640, 7064, -1632, 9232, 1536, -22208, 4256, 93344, 40656, -23760, -55356, 17716, 10664, -10920, 39324, 12200, -30464, 38360, -6640, -58964, 1540, -38288, -7848, 7080, -4428, -31080, -24088, -2940, 47616, -17520, 5224, 17160, 1148, -54476, 8232, -25048, -3088, 109584, 6056, 3428, 42000, -28896, 13948, 51664, 39480, 1024, 29100, 33696, 4648, 22936, -21368, -142980, -8800, 8272, -7096, -19936, -4328, -8104, -52628, -44136, -13184, 29416, 8288, -49712, 264, 91120, -9520, -5944, -13148, 4032, -12472, 9552, -65928, 40288, 11232, 12276, 7252, -51184, -3740, 17496, 26228, 73908, -52368, 35616, 23316, 68084, -5632, -36952, -31632, -54820, 5264, -2152, 28544, 20776, 19400, -48232, -18232, 1848, -33204, 43872, -572, -13544, 10812, -79284, 5264, 124248, -27580, 157548, 8184, 46936, 34136, 17248, 16144, -20056, -1448, 19776, -15616, 61416, -22232, 11616, 45340, 112748, 13652, 45140, 47008, -5488, 6752, -42184, -82256, -133816, -11000, -67568, -33656, 68440, -16928, -98536, -37240, -49412, -27416, 68824, -63976, -24024, 61076, -17160, -52840, 53840, -84, 39548, 10680, -159736, 48176, 103224, 8316, 840, -49664, 36376, 38804, 105528, 37640, -42080, 44800, 95680, 13488, -43296, -15436, -23216, -46024, -9044, -4016, 24728, -34952, 52824, -81028, -100120, 2156, -129992, 41392, -85528, -6036, -57664, -85104, 39256, 83136, -131032, 145008, 30404, -8872, 11696, 27328, -41688, -127100, 108160, 36744, -20084, 65440, -58016, 6072, 60536, 114056, -24280, -9980, 152924, -24360, 12816, -26936, -311208, -31344, -39424, -43724, -34300, 23096, -70616, 39660, -128748, 66736, -54080, 34524, -119080, -26400, 149856, -45544, 15380, 1208, -4508, -28312, 126080, -146816, 172768, -7912, 40480, -14504, -132632, 4968, 50272, 38360, 71276, 21776, 49056, 135928, 101264, -2904, -104552, -9800, -53708, -25816, -21576, 31112, -52052, -17248, -12524, -16968, 7392, -96640, 49072, -32276, -10704, -44484, -76620, 3752, 229520, -30392, 117208, 24112, 10036, 45720, 3164, 21196, -121264, 21672, -9256, 128448, 154944, -8232, 16896, 98496, 218912, 67140, -25072, 71172, -31528, 83088, -15920, -160344, -276036, -8272, -105252, -46368, 35608, -36804, -103296, -6336, -61964, 34176, 49280, -53952, -66352, 100120, -7504, 6784, 79580, -28952, -79768, 13896, -241968, 110364, 95840, 11836, -73220, -102776, -11392, 15672, 212912, 95824, -58000, 34160, 204176, 73048, -36652, 31760, 58560, -66724, 2744, -17716, 134024, 2976, 125536, -93412, 66060, 8316, -59512, -95504, -122496, 11728, -19236, -77656, 6104, 104544, -301168, 182376, 39424, 35088, 74152, 17248, -90728, -88708, 139704, -133400, -120936, 67204, -106624, -1848, 131272, 103096, -30296, 7760, 265748, -336, -29788, -14440, -335948, -90640, 4356, -18272, -94220, 67216, 88736, -126736, -115184, 59584, 12620, 6468, -223000, 660, 234176, -19960, -42608, 68392, 34944, -16392, -51664, -131080, 225808, -55936, 71148, -10584, -274720, 73612, 54400, 84540, -41536, -13456, 124040, 33928, 111032, -45892, -137752, 17280, 39432, -4032, 64616, 182912, -30420, -44672, -111420, -204016, 12320, -3336, 77256, 57324, 118088, -81076, -92888, 20440, 176024, -132080, 510792, 21692, -17504, 30184, 13720, -100364, -173608, 190528, 63720, 3688, 132640, -49000, 33044, -7280, 189352, -51048, -89136, 86728, 2184, 31480, -184660, -230608, -67728, -39688, -120200, -52136, 77800, -45168, -144524, -136808, -12520, -45112, 101696, -140928, -36696, 179568, -126456, -16960, -23504, 29400, -250792, 5272, -390016, 144092, 181180, 36124, -67004, -1032, -61296, 29232, 25848, -78568, 6540, 7448, 381912, 124952, -83556, -81172, -16284, 16800, -39088, 18512, 102552, 38096, 257472, 27536, -87500, 0, -212568, 104968, -110784, -41644, -253072, -41960, 6860, -19352, -185032, 193456, 12408, 53668, -14960, 38080, -59624, -103808, 293320, -144648, -134536, 76396, -62132, 28600, 3904, 3216, 85296, 11496, 107168, -48720, 61336, -56184, -345528, -57064, -14344, -73492, -2940, -103888, -2752, 43252, 32192, 92976, 151264, 51352, -95808, -31988, 161248, -37376, 281456, 64596, 13328, -171376, -93032, -155600, 326536, -75648, 26488, -92624, -212864, 26860, 15264, 82496, 162824, 55656, 121072, 88536, 153784, -26004, -111664, 215952, 24652, -47124, 175184, -18192, -20288, 208840, -125964, -96600, 22176, 11240, 16032, 93420, -51528, 12792, -150480, 4312, 312024, 37784, 257564, 56232, 327428, -107888, -10808, -3276, 21672, -8448, 12144, -17800, 143148, -12096, 86416, 153828, 335368, 22720, -15916, 36828, -51996, -126248, -91272, -238292, -166760, -4312, 37648, -21392, 134272, 38340, -239312, -98192, 14476, 107592, 116592, -104808, -7260, 26944, -102752, -111028, -282332, 44436, 129432, -130976, -345868, 101932, 92976, 6468, -1372, -183248, -193328, -51272, 46480, -126888, -23904, 10304, 286800, 108480, -144452, -193000, 61508, 9908, 19600, 180880, 130648, -31752, 251944, -159108, -221528], '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: 67340
    {'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '77.4.a.c', 'source_level': 77, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '77.4.a.c', 'target_level': 77, 'twist_class_label': '77.4.a.c', 'twist_class_level': 77, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
  • id: 67341
    {'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '77.4.a.c', 'source_level': 77, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '539.4.a.f', 'target_level': 539, 'twist_class_label': '77.4.a.c', 'twist_class_level': 77, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 4}
  • id: 67342
    {'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '77.4.a.c', 'source_level': 77, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '693.4.a.m', 'target_level': 693, 'twist_class_label': '77.4.a.c', 'twist_class_level': 77, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
  • id: 67343
    {'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '77.4.a.c', 'source_level': 77, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '847.4.a.e', 'target_level': 847, 'twist_class_label': '77.4.a.c', 'twist_class_level': 77, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 4}
  • id: 67344
    {'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '77.4.a.c', 'source_level': 77, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '1232.4.a.w', 'target_level': 1232, 'twist_class_label': '77.4.a.c', 'twist_class_level': 77, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
  • id: 67345
    {'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '77.4.a.c', 'source_level': 77, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1925.4.a.q', 'target_level': 1925, 'twist_class_label': '77.4.a.c', 'twist_class_level': 77, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 241300
    {'charpoly_factorization': [[[66, -56, -19, 4, 1], 1]], 'hecke_orbit_code': 9007199321849933, 'p': 2}
  • id: 241301
    {'charpoly_factorization': [[[-60, -370, -15, 12, 1], 1]], 'hecke_orbit_code': 9007199321849933, 'p': 3}
  • id: 241302
    {'charpoly_factorization': [[[-10852, -2960, -107, 18, 1], 1]], 'hecke_orbit_code': 9007199321849933, 'p': 5}
  • id: 241303
    {'charpoly_factorization': [[[7, 1], 4]], 'hecke_orbit_code': 9007199321849933, 'p': 7}
  • id: 241304
    {'charpoly_factorization': [[[-11, 1], 4]], 'hecke_orbit_code': 9007199321849933, 'p': 11}
  • id: 241305
    {'charpoly_factorization': [[[-9904192, -324160, 1732, 134, 1], 1]], 'hecke_orbit_code': 9007199321849933, 'p': 13}
  • id: 241306
    {'charpoly_factorization': [[[-4708304, -258936, -2184, 74, 1], 1]], 'hecke_orbit_code': 9007199321849933, 'p': 17}
  • id: 241307
    {'charpoly_factorization': [[[-85552320, -3235808, -15468, 164, 1], 1]], 'hecke_orbit_code': 9007199321849933, 'p': 19}
  • id: 241308
    {'charpoly_factorization': [[[-39720496, 1706716, -2615, -194, 1], 1]], 'hecke_orbit_code': 9007199321849933, 'p': 23}
  • id: 241309
    {'charpoly_factorization': [[[-365881040, -9416944, -54832, 108, 1], 1]], 'hecke_orbit_code': 9007199321849933, 'p': 29}
  • id: 241310
    {'charpoly_factorization': [[[-5207968724, -47868042, -67551, 412, 1], 1]], 'hecke_orbit_code': 9007199321849933, 'p': 31}
  • id: 241311
    {'charpoly_factorization': [[[1094639996, 11524784, -67099, -286, 1], 1]], 'hecke_orbit_code': 9007199321849933, 'p': 37}
  • id: 241312
    {'charpoly_factorization': [[[-410971280, -21925400, -161160, 18, 1], 1]], 'hecke_orbit_code': 9007199321849933, 'p': 41}
  • id: 241313
    {'charpoly_factorization': [[[-998066176, -15151104, -9760, 496, 1], 1]], 'hecke_orbit_code': 9007199321849933, 'p': 43}
  • id: 241314
    {'charpoly_factorization': [[[463480064, -2211008, -69460, -62, 1], 1]], 'hecke_orbit_code': 9007199321849933, 'p': 47}
  • id: 241315
    {'charpoly_factorization': [[[-394495824, -9673648, 110384, 828, 1], 1]], 'hecke_orbit_code': 9007199321849933, 'p': 53}
  • id: 241316
    {'charpoly_factorization': [[[1674727140, 50129942, 453897, 1224, 1], 1]], 'hecke_orbit_code': 9007199321849933, 'p': 59}
  • id: 241317
    {'charpoly_factorization': [[[-3730099088, -99355432, -477336, 350, 1], 1]], 'hecke_orbit_code': 9007199321849933, 'p': 61}
  • id: 241318
    {'charpoly_factorization': [[[-57482107536, -114491588, 511865, 1498, 1], 1]], 'hecke_orbit_code': 9007199321849933, 'p': 67}
  • id: 241319
    {'charpoly_factorization': [[[109860635344, -770286636, 2014145, -2326, 1], 1]], 'hecke_orbit_code': 9007199321849933, 'p': 71}
  • id: 241320
    {'charpoly_factorization': [[[-34532794928, 10761912, 730224, 1630, 1], 1]], 'hecke_orbit_code': 9007199321849933, 'p': 73}
  • id: 241321
    {'charpoly_factorization': [[[-48577598400, -213571040, 17780, 1020, 1], 1]], 'hecke_orbit_code': 9007199321849933, 'p': 79}
  • id: 241322
    {'charpoly_factorization': [[[42421669632, -540908288, 375744, 1920, 1], 1]], 'hecke_orbit_code': 9007199321849933, 'p': 83}
  • id: 241323
    {'charpoly_factorization': [[[-926653158300, 2403717940, -957595, -1550, 1], 1]], 'hecke_orbit_code': 9007199321849933, 'p': 89}
  • id: 241324
    {'charpoly_factorization': [[[-78194289572, 87731360, 1367933, 2202, 1], 1]], 'hecke_orbit_code': 9007199321849933, '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': 3, 'label': '77.4.a.c', 'level': 77, 'portrait': 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', 'weight': 4}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 28323475
    {'hecke_orbit_code': 9007199321849933, 'n': 1, 'trace_an': 4}
  • id: 28323476
    {'hecke_orbit_code': 9007199321849933, 'n': 2, 'trace_an': -4}
  • id: 28323477
    {'hecke_orbit_code': 9007199321849933, 'n': 3, 'trace_an': -12}
  • id: 28323478
    {'hecke_orbit_code': 9007199321849933, 'n': 4, 'trace_an': 22}
  • id: 28323479
    {'hecke_orbit_code': 9007199321849933, 'n': 5, 'trace_an': -18}
  • id: 28323480
    {'hecke_orbit_code': 9007199321849933, 'n': 6, 'trace_an': 2}
  • id: 28323481
    {'hecke_orbit_code': 9007199321849933, 'n': 7, 'trace_an': -28}
  • id: 28323482
    {'hecke_orbit_code': 9007199321849933, 'n': 8, 'trace_an': -60}
  • id: 28323483
    {'hecke_orbit_code': 9007199321849933, 'n': 9, 'trace_an': 66}
  • id: 28323484
    {'hecke_orbit_code': 9007199321849933, 'n': 10, 'trace_an': -92}
  • id: 28323485
    {'hecke_orbit_code': 9007199321849933, 'n': 11, 'trace_an': 44}
  • id: 28323486
    {'hecke_orbit_code': 9007199321849933, 'n': 12, 'trace_an': -186}
  • id: 28323487
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  • id: 28323680
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  • id: 28323681
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  • id: 28323682
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  • id: 28323683
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  • id: 28323684
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  • id: 28323685
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  • id: 28323686
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  • id: 28323687
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  • id: 28323688
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  • id: 28323689
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  • id: 28323690
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  • id: 28323691
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  • id: 28323692
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  • id: 28323693
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  • id: 28323694
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  • id: 28323695
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  • id: 28323696
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  • id: 28323697
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  • id: 28323698
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  • id: 28323699
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  • id: 28323700
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  • id: 28323701
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  • id: 28323702
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  • id: 28323703
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  • id: 28323704
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  • id: 28323705
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  • id: 28323706
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  • id: 28323707
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  • id: 28323708
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  • id: 28323709
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  • id: 28323710
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  • id: 28323711
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  • id: 28323712
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  • id: 28323713
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  • id: 28323714
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  • id: 28323715
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  • id: 28323716
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  • id: 28323717
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  • id: 28323718
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  • id: 28323719
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  • id: 28323720
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  • id: 28323721
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  • id: 28323722
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  • id: 28323723
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  • id: 28323724
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  • id: 28323725
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  • id: 28323726
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  • id: 28323727
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  • id: 28323728
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  • id: 28323729
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  • id: 28323730
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  • id: 28323731
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  • id: 28323732
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