Embedded newform data - 153.4.a.h.1.4

Formats: - HTML - YAML - JSON - 2025-01-22T22:30:31.794885

• 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': 2448, 'analytic_conductor': 9.027292230878315, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [17, -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': [153, 1, [137, 37], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 1506848, 'field_disc_factorization': [[2, 5], [7, 2], [31, 2]], 'field_poly': [18, 0, -17, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [102, -50, -21, 4, 1]], [5, [-9078, -2612, -77, 22, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197458702489, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '153.4.a.h', 'level': 153, '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': [3, 17], 'level_radical': 51, 'minimal_twist': '153.4.a.h', 'nf_label': '4.4.1506848.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1-\\beta _{2})q^{2}+(6+2\\beta _{2}-\\beta _{3})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': '153.4.a', 'trace_display': [-4, 0, -22, -24], 'trace_hash': 804004414789884954, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.938', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '40.754', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '634.140', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 'traces': [4, -4, 0, 26, -22, 0, -24, -102, 0, -2, -50, 0, 26, -80, 0, 138, 68, 0, 34, -312, 0, -254, -382, 0, 138, 22, 0, 52, -540, 0, -356, -730, 0, -68, -304, 0, -404, -298, 0, 332, 114, 0, 570, 1368, 0, -290, -496, 0, -224, 1862, 0, -1012, -92, 0, -482, 1428, 0, 1324, 48, 0, -1036, 2564, 0, 2898, 342, 0, 812, 442, 0, 152, -1044, 0, -1212, 1444, 0, 2268, 564, 0, 488, 1000, 0, -938, -1708, 0, -374, 2446, 0, -3868, 8, 0, 716, -1356, 0, -1224, -1010, 0, -76, 1472, 0, -1150, -1364, 0, -278, 4352, 0, -1580, -3914, 0, 2944, -150, 0, -3260, -1490, 0, 2906, -3776, 0, 4768, -408, 0, 2566, 4068, 0, -3692, -2394, 0, 398, -9554, 0, 1842, 506, 0, -660, -1276, 0, -1734, -3212, 0, -5044, 2668, 0, 36, -6406, 0, -2056, -7004, 0, -9480, 1640, 0, 2384, -8160, 0, 6900, -5244, 0, -878, 264, 0, 9336, 3104, 0, 3784, 436, 0, 5044, 426, 0, -1994, -34, 0, 928, 2602, 0, -2108, 18024, 0, 64, -2624, 0, 1380, -6020, 0, 6584, 13960, 0, -850, -1520, 0, -1214, -668, 0, -4396, 4308, 0, -11330, 5674, 0, -8548, 3774, 0, 9444, 7356, 0, 12494, 11534, 0, -16292, 9042, 0, -1320, -2028, 0, -8486, -1558, 0, 3188, -6528, 0, -784, 442, 0, 646, 4508, 0, -3574, -4806, 0, 2288, 7422, 0, 22408, 2370, 0, 4264, -11924, 0, -1360, 2304, 0, 704, -12326, 0, -21912, 13842, 0, -8766, 18428, 0, -26398, 7204, 0, 7666, -20310, 0, 30258, 8964, 0, -11956, 3280, 0, 11190, -8652, 0, -728, 7436, 0, 564, 8950, 0, 86, 2346, 0, 5044, -4248, 0, -8480, -308, 0, 732, 14928, 0, 11116, -22564, 0, 21190, -17100, 0, 1156, -16376, 0, 15932, 11400, 0, -12724, 9520, 0, -15136, -2574, 0, -19516, -21344, 0, 27900, 9896, 0, 19024, -20376, 0, -34276, -8308, 0, 3180, -22530, 0, 8612, -1964, 0, 6596, -11856, 0, 9992, 578, 0, -4004, -8968, 0, -29576, 7896, 0, -5114, -13868, 0, 16710, -10384, 0, -2648, -14742, 0, -5304, 5088, 0, -2472, -27132, 0, -12146, -23568, 0, 5406, -5668, 0, -65032, 20064, 0, 23116, 17268, 0, 37392, -19572, 0, -14066, 4900, 0, 15696, 9112, 0, -4736, 5476, 0, 17464, 15024, 0, -12984, -4318, 0, 12656, -2572, 0, -6396, -9712, 0, 5732, -9152, 0, 24684, 38924, 0, 20988, 20728, 0, -6494, 18054, 0, -4770, 6144, 0, -15048, -11716, 0, -46270, 13394, 0, -9176, 580, 0, 7188, -19724, 0, 23018, 31282, 0, -38424, 11976, 0, 18472, 59044, 0, -33498, -19336, 0, 6698, -696, 0, 27116, 2346, 0, 6324, 15200, 0, -27130, -204, 0, 16254, 4972, 0, 26304, -902, 0, -17140, 39100, 0, 374, -1816, 0, -20908, 56082, 0, -21612, -14896, 0, 650, -28852, 0, -22890, -18796, 0, -2862, 31584, 0, 30132, 39080, 0, 9216, -63360, 0, 47062, -13020, 0, 15632, 19456, 0, 62812, -3714, 0, 1980, 884, 0, 8232, -7774, 0, 7316, -24696, 0, 21226, -31216, 0, 24632, 76976, 0, 20566, 5704, 0, -9180, 32630, 0, -76460, 9652, 0, 4272, 23144, 0, -27972, -50546, 0, -42720, 14142, 0, 20928, 524, 0, 12808, -55586, 0, -54156, 28570, 0, 6560, -2876, 0, -35188, 16394, 0, 28396, 512, 0, 27580, -6052, 0, -3318, 18288, 0, -24352, -11830, 0, 11390, 25500, 0, -24734, -37258, 0, 10580, 4674, 0, -12410, -27812, 0, -23332, -672, 0, 13896, -6060, 0, -31220, -38680, 0, -14704, -11000, 0, -22234, 5788, 0, -18008, -15860, 0, 14858, 32756, 0, 77764, -5432, 0, -15504, -59272, 0, 11268, -41564, 0, 6534, -1156, 0, 42596, -20288, 0, -17808, -44812, 0, -19304, -4200, 0, 1080, -57452, 0, -4808, -38376, 0, -5168, 22028, 0, 9246, -54756, 0, 7084, -380, 0, 27376, 36060, 0, -15704, -104348, 0, -5600, 5856, 0, 2978, -29424, 0, -11952, -53664, 0, 7644, 21084, 0, 500, 5600, 0, 24892, 70828, 0, 25268, -6868, 0, -26290, -72828, 0, -55124, 17342, 0, 24970, 74988, 0, 10208, 35438, 0, -76912, -12092, 0, -5066, -49052, 0, -49348, -26476, 0, 42776, -40982, 0, 14418, 123060, 0, 8376, 55848, 0, 32710, -190, 0, 8332, 23524, 0, 37136, 17756, 0, 1120, -52068, 0, -1052, -7488, 0, 4670, 53982, 0, -8016, 5644, 0, 56864, 27130, 0, 16900, 6968, 0, 36160, 35288, 0, 16256, 28840, 0, 73840, 1332, 0, 1938, -20574, 0, 4020, -2844, 0, -27084, 137664, 0, -62416, 27664, 0, -7272, 61604, 0, -42700, 300, 0, 15570, -74440, 0, -60748, 39086, 0, -49908, -26878, 0, -38744, 40128, 0, 10592, 1224, 0, 63312, 9690, 0, -44872, -44528, 0, 35772, -43592, 0, -38558, 38308, 0, -21696, -26580, 0, -32148, 71656, 0, 23256, 47044, 0, 32516, 1824, 0, -49156, 57232, 0, 76390, -6860, 0, 59580, 19528, 0, 11260, -9696, 0, -97448, 43460, 0, 60710, -4020, 0, -46852, -30484, 0, 113812, -69292, 0, -42072, 12930, 0, -70824, -4930, 0, -44946, 51134, 0, 9920, 60896, 0, -1056, 60164, 0, 48668, -82432, 0, -5052, -39956, 0, -8432, 20878, 0, 68310, 102408, 0, 24076, -43240, 0, 50540, -34502, 0, -21048, -16428, 0, -2500, 15344, 0, 25230, -9914, 0, -19144, 20066, 0, -40048, 52428, 0, -52536, 11802, 0, -32472, -17024, 0, -118444, -3808, 0, -75710, 113544, 0, 37880, 24646, 0, 33920, -78314, 0, -83536, 10328, 0, -48036, -74556, 0, 31654, 37840, 0, 36812, -34036, 0, -4260, -28048, 0, 8736, -67544, 0, 116364, -70804, 0, -16314, -10590, 0, -15996, 35124, 0, 56608, -56032, 0, -1298, 74316, 0, -20892, -59708, 0, -122064, -35736, 0, -23518, -17204, 0, 94240, -2186, 0, 53964, -58524, 0, -154176, -9888, 0, 3416, 58956, 0, 133328, 135476, 0, -1564, -143970, 0, 169352, -57880, 0, -26556, -29880, 0, 18500, -103830, 0, 31744, 53566, 0, 40004, -97252, 0, 4166, -24888, 0, 20616, 83024, 0, -57992, -88144, 0, 127264, 59950, 0, -48078, -121868, 0, 69924, -8194, 0, -8132, -56528, 0, 47112, 9564, 0, 12122, -285204, 0, -125046, 33064, 0, -64416, 67540, 0, 24276, -106292, 0, -9716, 6056, 0, 143886, -24120, 0, 80344, 34524, 0, 77732, -74544, 0, 15034, -146914, 0, -127880, 64492, 0, 76256, -128504, 0, -234888, 66444, 0, 83980, 37432, 0, -153824, -35178, 0, -137770, 22508, 0, -109264, -89050, 0, 84956, 92332, 0, -47636, 101108, 0, 13708, 66888, 0, -5212], 'weight': 4, 'weight_parity': 1}
• mf_hecke_cc •

  Column	Type
  an_normalized	double precision[]
  angles	double precision[]
  char_orbit_index	smallint
  conrey_index	integer
  dual_conrey_index	integer
  dual_embedding_index	integer
  dual_embedding_m	integer
  embedding_index	integer
  embedding_m	integer
  embedding_root_imag	double precision
  embedding_root_real	double precision
  hecke_orbit	integer
  hecke_orbit_code	bigint
  label	text
  level	integer
  weight	smallint

  
  {'an_normalized': [[1.0, 0.0], [1.2614334488007861, 0.0], [0.0, 0.0], [0.5912143457534453, 0.0], [-1.845093838777111, 0.0], [0.0, 0.0], [-0.2830485786379238, 0.0], [-0.5156558976565172, 0.0], [0.0, 0.0], [-2.3274630844096924, 0.0], [-0.14281308661084383, 0.0], [0.0, 0.0], [-0.3157666503423325, 0.0], [-0.35704694472939674, 0.0], [0.0, 0.0], [-1.2416799431287708, 0.0], [0.24253562503633297, 0.0], [0.0, 0.0], [0.3170778592408363, 0.0], [-1.0908459467463225, 0.0], [0.0, 0.0], [-0.1801492043774021, 0.0], [-1.4998826850707265, 0.0], [0.0, 0.0], [2.4043712738932554, 0.0], [-0.3983186147576004, 0.0], [0.0, 0.0], [-0.16734238023586276, 0.0], [0.2714882534246348, 0.0], [0.0, 0.0], [1.5292889234946807, 0.0], [-1.0506407153111723, 0.0], [0.0, 0.0], [0.3059425499466358, 0.0], [0.5222511885194518, 0.0], [0.0, 0.0], [-1.4316803314398616, 0.0], [0.3999726175205383, 0.0], [0.0, 0.0], [0.9514335196951204, 0.0], [-1.224741754774173, 0.0], [0.0, 0.0], [1.368227196832339, 0.0], [-0.08443314556566014, 0.0], [0.0, 0.0], [-1.8920021882253497, 0.0], [-0.9599417851798038, 0.0], [0.0, 0.0], [-0.9198835021310511, 0.0], [3.0329543482247083, 0.0], [0.0, 0.0], [-0.186685773592899, 0.0], [-0.4994260900968951, 0.0], [0.0, 0.0], [0.26350354620240984, 0.0], [0.1459556688979399, 0.0], [0.0, 0.0], [0.3424643638263388, 0.0], [1.2954497789127262, 0.0], [0.0, 0.0], [-0.5061924861711927, 0.0], [1.9290962009767365, 0.0], [0.0, 0.0], [-0.08363339783672583, 0.0], [0.5826191010379239, 0.0], [0.0, 0.0], [0.3745246596305027, 0.0], [0.14339054087775852, 0.0], [0.0, 0.0], [0.6587851178744016, 0.0], [-1.559590256467201, 0.0], [0.0, 0.0], [-1.3946734242232606, 0.0], [-1.8059694580684371, 0.0], [0.0, 0.0], [0.18746097910397405, 0.0], [0.040423041176094056, 0.0], [0.0, 0.0], [0.1454940645427099, 0.0], [2.2910160128000085, 0.0], [0.0, 0.0], [-1.5449302156151115, 0.0], [-0.39526538475832673, 0.0], [0.0, 0.0], [-0.4475009874384936, 0.0], [1.725927551643249, 0.0], [0.0, 0.0], [0.07364241037341261, 0.0], [0.7933608918147816, 0.0], [0.0, 0.0], [0.0893773015606555, 0.0], [-0.8867521603610103, 0.0], [0.0, 0.0], [-1.2109026767273432, 0.0], [-0.585038404497903, 0.0], [0.0, 0.0], [1.41478254693973, 0.0], [-1.1603718185881169, 0.0], [0.0, 0.0], [1.4214987896431788, 0.0], [1.604100741803543, 0.0], [0.0, 0.0], [0.04633670947685287, 0.0], [0.16282693553226704, 0.0], [0.0, 0.0], [-0.6299927752520185, 0.0], [-1.3494217617702267, 0.0], [0.0, 0.0], [0.6104099390235261, 0.0], [0.33239218705734314, 0.0], [0.0, 0.0], [0.3514557430258167, 0.0], [-1.08403600383521, 0.0], [0.0, 0.0], [2.767424301112467, 0.0], [0.160507750128191, 0.0], [0.0, 0.0], [1.634123682362096, 0.0], [-0.06864936393559451, 0.0], [0.0, 0.0], [-0.9796044222926836, 0.0], [-0.6385281335879719, 0.0], [0.0, 0.0], [0.9041375503718984, 0.0], [-2.5911967848160082, 0.0], [0.0, 0.0], [-1.467284950738288, 0.0], [0.9451427498430629, 0.0], [0.0, 0.0], [0.734935221959482, 0.0], [0.6424443650136362, 0.0], [0.0, 0.0], [-0.0897484373756744, 0.0], 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[-0.39179083085704397, 0.0], [0.5313333810622938, 0.0], [0.0, 0.0], [-0.9262941282524413, 0.0], [0.1134295016445755, 0.0], [0.0, 0.0], [-0.7663214819062132, 0.0], [1.6611221568169048, 0.0], [0.0, 0.0], [0.2772756393573686, 0.0], [0.6201273591485371, 0.0], [0.0, 0.0], [0.7355994785533435, 0.0], [2.1473525396829674, 0.0], [0.0, 0.0], [-0.26195448834272955, 0.0], [0.1807344806324018, 0.0], [0.0, 0.0], [0.6958372898828651, 0.0], [0.7745364770910651, 0.0], [0.0, 0.0], [0.3326104537461731, 0.0], [-1.4925250918926396, 0.0], [0.0, 0.0], [0.839053017892078, 0.0], [-0.5154122311032552, 0.0], [0.0, 0.0], [0.10886155333858506, 0.0], [0.0216186457686194, 0.0], [0.0, 0.0], [-0.2559148485259401, 0.0], [-0.020778456440901732, 0.0], [0.0, 0.0], [-0.11826239724212602, 0.0], [-0.31476148504563634, 0.0], [0.0, 0.0], [-0.5999120035214717, 0.0], [0.7334345669133293, 0.0], [0.0, 0.0], [-1.5743760725209335, 0.0], [-1.763561899058277, 0.0], [0.0, 0.0], [-0.3271870682628377, 0.0], [-0.6286082422730045, 0.0], 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[-0.639941641356318, 0.0], [0.0, 0.0], [-0.2852366127766391, 0.0], [1.096050719774807, 0.0], [0.0, 0.0], [-0.2916746916066769, 0.0], [0.4783872546272217, 0.0], [0.0, 0.0], [-1.0457307640913776, 0.0], [0.06390899727749172, 0.0], [0.0, 0.0], [-1.003935499992093, 0.0], [-0.13372288544688823, 0.0], [0.0, 0.0], [1.0471486054758181, 0.0], [-0.4139664627130031, 0.0], [0.0, 0.0], [1.8369689516689196, 0.0], [-1.6085340078065327, 0.0], [0.0, 0.0], [-0.24648504091686899, 0.0], [0.6911973059283198, 0.0], [0.0, 0.0], [0.4403913554884498, 0.0], [0.9616826719102765, 0.0], [0.0, 0.0], [0.03539944938375792, 0.0], [-1.2421796631439004, 0.0], [0.0, 0.0], [-0.3841167725927898, 0.0], [0.13381267012797693, 0.0], [0.0, 0.0], [0.47434720987502127, 0.0], [0.05503199167577997, 0.0], [0.0, 0.0], [1.3387246115235194, 0.0], [0.5702649263948278, 0.0], [0.0, 0.0], [0.21115113802558688, 0.0], [-2.8841592754329626, 0.0], [0.0, 0.0], [-1.3516623991859122, 0.0], [0.5051387977256278, 0.0], [0.0, 0.0], 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-0.32967639161337065, -0.290168145349468, -0.13786031358924822, -0.2907244662447083, -0.22001927826674272, -0.39233839267400006, -0.37281587965708374, -0.23841171373006168, -0.2816626648749287, -0.18508105428524813, -0.12493595385062077, -0.10187125877158844, -0.24631231186152205, -0.36786584019119095, -0.20063751171012142, -0.3411697747882553, -0.38109064216584704, -0.19795318497315503, -0.2654963997551535, -0.3013407273091735, -0.2664461701925966, -0.37370107037865163, -0.39672629182325236, -0.2520241665282096, -0.09598504109491095, -0.25469579594400876, -0.16766470178302026, -0.20629007458455798, -0.2334032769187383, -0.10720825302054195, -0.1228268900538177, -0.40299651075772164, -0.36221619794111376, -0.16618402248074882, -0.3173728532828667, -0.08443475823776414, -0.18370882235823183, -0.2319501420394769, -0.22142578859510345, -0.12616705823657473, -0.344910434218981, -0.2574568115860566, -0.20981943561791963, -0.2926721887567813, -0.321199985934356, -0.22463705541341208, 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-0.3501639124720071, -0.34894274518378005, -0.3452829845276956, -0.24387838968164444, -0.24888060224711406, -0.27534603853397804, -0.36165074804049563, -0.21700135196542, -0.27313463514873376, -0.23517779866776797, -0.3955380054539736, -0.2699909181425947, -0.15925814104505434, -0.27783180237038735, -0.2551473445162389, -0.27601670397372924, -0.2296528860487552, -0.1976433008845765, -0.10418899776607514, -0.32328533706535273, -0.126981670276989, -0.18456164964896324, -0.2638161563661995, -0.25694601867332206, -0.4114296080005094, -0.3184702774042101, -0.10519968213571416, -0.11312612512770369, -0.337234611189961, -0.20261883002606626, -0.26291284464678444, -0.3322917528665278, -0.37526633818415916, -0.18133828733943425, -0.21889643957396646, -0.2623392581997161, -0.27443001900500136, -0.2679614903764402, -0.2979362780818512, -0.20720396829784535, -0.2709057421004504, -0.1867093676061697, -0.2234081496019135, -0.29148331827709567, -0.3942319449007419, -0.3008855815056809, -0.3783205771861879, -0.36582788900720814, -0.23575067321593146, -0.4009750451837307, -0.1082377244455829, -0.15768986223213075, -0.3336951969640817, -0.28318227838933935, -0.19383793320772183, -0.3566548986051344, -0.36810758592317144, -0.2518706945212986, -0.05183790313869584, -0.26288227604858283, -0.19681674686818557, -0.14958348298526936], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 4, 'dual_embedding_m': 4, 'embedding_index': 4, 'embedding_m': 4, 'embedding_root_imag': 0.0, 'embedding_root_real': 1.0651479092932974, 'hecke_orbit': 8, 'hecke_orbit_code': 31525197458702489, 'label': '153.4.a.h.1.4', 'level': 153, '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, 5, 7], 'Nk2': 2448, 'analytic_conductor': 9.027292230878315, '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': [153, 1, [137, 37], [1, 1]], 'conrey_index': 1, 'cusp_dim': 50, 'dim': 20, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 67109017, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 3, 3, 4, 4], 'label': '153.4.a', 'level': 153, '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': [3, 17], 'level_radical': 51, 'mf_dim': 58, 'mf_new_dim': 20, 'num_forms': 9, 'plus_dim': 11, 'prim_orbit_index': 1, 'relative_dim': 20, 'sturm_bound': 72, 'trace_bound': 5, 'trace_display': [-2, 0, 2, -46], 'traces': [20, -2, 0, 90, 2, 0, -46, -30, 0, 22, 36, 0, 76, 112, 0, 298, 34, 0, 60, 130, 0, -434, -82, 0, 496, 4, 0, -168, -6, 0, -702, 338, 0, -68, 20, 0, -318, 380, 0, 542, -804, 0, 848, 90, 0, -284, -1032, 0, 220, -862, 0, -1784, 12, 0, -908, 960, 0, 1654, -816, 0, -1982, -776, 0, 3730, 596, 0, 460, 408, 0, -736, 3238, 0, -2272, -914, 0, 3344, 1104, 0, 1666, 2434, 0, -1568, -872, 0, -578, 40, 0, -6586, 1064, 0, 1440, -4484, 0, -696, 2800, 0, 2356, -6042, 0, -3702, -2396, 0, -1752, -2736, 0, -1376, 3472, 0, 3510, -3492, 0, -5064, -2392, 0, 3548, -1302, 0, 9796, 1530, 0, 5000, 6182, 0, -2472, 84, 0, -620, 4410, 0, -756, 8624, 0, 808, -1700, 0, -2652, -5508, 0, -6092, 11440, 0, -684, -4236, 0, 92, 4116, 0, -12046, -6200, 0, 3988, -4536, 0, 8736, -2908, 0, 2184, 8100, 0, 11694, -2560, 0, 13008, -10752, 0, 5476, 442, 0, -4244, 2686, 0, -2316, 2858, 0, -1122, 11226, 0, -140, 7428, 0, -3790, 25024, 0, 8636, -11404, 0, -340, -26352, 0, -4112, 10576, 0, -2732, -14872, 0, -13574, 1086, 0, -8738, -13134, 0, 14064, 1572, 0, 11540, -6244, 0, -21312, 8736, 0, -6760, -3600, 0, -16838, -20320, 0, -2784, -16206, 0, -6712, 2040, 0, -3996, 1760, 0, 1580, 11760, 0, 3328, 29212, 0, 31846, 26520, 0, 3472, -24444, 0, -1768, -28664, 0, -548, 39334, 0, -34966, -16998, 0, -16472, 8544, 0, -22204, -11724, 0, 352, -10732, 0, 38842, 3276, 0, -11460, 29740, 0, 19122, 2068, 0, -13628, -28336, 0, -10996, -13294, 0, 2752, 4080, 0, 11176, 7812, 0, -16218, 25342, 0, 456, 14772, 0, 9396, 61844, 0, 28756, -18588, 0, 5780, -53748, 0, 44236, 27072, 0, -10480, -26994, 0, -556, -9256, 0, -8928, -18064, 0, 47768, 2260, 0, 16560, -15000, 0, -27328, 9122, 0, -2284, -4088, 0, 36700, -31922, 0, 16052, -24046, 0, 10472, 5780, 0, -13404, -2178, 0, -44936, 40584, 0, -10872, 43292, 0, 19560, 65624, 0, -13416, -35514, 0, -10098, -56952, 0, -2696, 59772, 0, -4586, -18272, 0, 25436, 27296, 0, -97018, -17148, 0, 31300, -16100, 0, 45504, -9564, 0, -29060, 40438, 0, -14672, -18324, 0, -3354, -40004, 0, 21724, -756, 0, -32956, 6834, 0, 11600, 17892, 0, 16964, 29528, 0, 12680, 15540, 0, 7992, 74840, 0, 37856, -33096, 0, -7514, -64422, 0, -3414, 22644, 0, -30526, -58508, 0, -95214, 16460, 0, 4448, -44056, 0, -28200, 5412, 0, 21748, -32016, 0, -39712, 27696, 0, 41536, -8056, 0, -69696, -46940, 0, -13340, -52678, 0, 57224, 14178, 0, 29740, 27758, 0, -35488, 21174, 0, 200, 51880, 0, 42590, 55240, 0, -21302, -29592, 0, 11084, -55180, 0, -9052, 81948, 0, -40360, -25036, 0, 28664, 37540, 0, -13494, -63256, 0, -1096, -57396, 0, 10992, 1532, 0, 41504, 46074, 0, 58684, -14052, 0, 60024, -23496, 0, 112564, 20160, 0, 13964, 10472, 0, -10248, 50442, 0, 10740, 11760, 0, 24830, 9364, 0, 45766, 64854, 0, -20186, -18236, 0, -16626, -18508, 0, -174072, 5536, 0, 52184, -88332, 0, -14340, -11622, 0, -71076, -45804, 0, 41120, 11816, 0, 12692, -13838, 0, -79560, 48976, 0, -4600, -20624, 0, -66796, -50108, 0, 14508, -32042, 0, -23024, 12138, 0, -12332, 38820, 0, -1248, 13728, 0, 33524, 41004, 0, -44666, 61560, 0, 47938, -21868, 0, -17204, -41556, 0, -6800, 61320, 0, 21762, -3072, 0, -112528, 52874, 0, 15994, -55332, 0, -85824, -57824, 0, -21728, 19048, 0, 36452, 44762, 0, 138100, -24448, 0, -56548, -16524, 0, -14472, 77218, 0, 34580, -578, 0, 117668, 43984, 0, -26232, 20172, 0, -72308, -556, 0, -24536, 2784, 0, -5838, -14400, 0, 1156, -1468, 0, 82944, -17808, 0, -8376, -76880, 0, 114384, -4894, 0, 4818, -24272, 0, 8716, 9432, 0, -8408, -51192, 0, -6552, -17880, 0, 17528, -24224, 0, 103184, -3712, 0, 57776, -107728, 0, 52756, 15606, 0, -67868, 4620, 0, -96518, -11912, 0, 98500, 53496, 0, 33950, 24876, 0, -144020, 26872, 0, -17816, -24248, 0, -97264, 94352, 0, 164842, 5010, 0, 19476, 33312, 0, -51168, -328, 0, 89556, -69128, 0, 46540, 25528, 0, 9500, 49016, 0, -64520, -18780, 0, -49212, 66964, 0, 11246, 73566, 0, -53636, -4590, 0, 54128, 38740, 0, 23092, -8800, 0, 71820, -54120, 0, -27812, -12590, 0, 112498, 9308, 0, 2856, 40068, 0, -42952, -76068, 0, -82928, 90, 0, -234640, -63776, 0, 47462, 45536, 0, -123652, 85064, 0, -19416, -23736, 0, -65200, -56962, 0, -54608, 42570, 0, -113022, -57162, 0, 25408, -8736, 0, 149268, 8160, 0, -12644, -71612, 0, 46812, 10344, 0, -121404, -18092, 0, 6912, -11874, 0, -11580, 19968, 0, 37842, -29672, 0, 128746, 2976, 0, -184972, 39544, 0, 185856, 23386, 0, 48840, -20012, 0, 49484, -27352, 0, -143648, 54456, 0, 92452, -10272, 0, -81464, -18376, 0, 247998, 39816, 0, 32868, 71496, 0, -95808, -31688, 0, -107574, 36620, 0, -25364, -62034, 0, 40344, -97492, 0, 121572, -112002, 0, -103516, -27820, 0, -17408, 125626, 0, 14160, -141552, 0, 173512, 67816, 0, 169520, -56084, 0, -100336, 106848, 0, 48032, 82860, 0, 53416, -34492, 0, -60364, -136434, 0, -84206, 28896, 0, -134544, -28896, 0, -97384, -148432, 0, -326768, -7038, 0, -179060, -117576, 0, 94202, 22174, 0, 71784, 20044, 0, -139490, -66258, 0, 9806, 64368, 0, 43792, 10028, 0, 43822, 44432, 0, -79902, 176636, 0, -140920, 2824, 0, 226764, 118136, 0, -87996, -51736, 0, 20416, 97800, 0, -3640, -67422, 0, 98152, 60816, 0, -109882, 210988, 0, -231408, 95920, 0, 110980, -41548, 0, 269500, -21030, 0, 33280, -107660, 0, -304504, -42408, 0, 67136, -200064, 0, 283160, -34716, 0, 10064, 199488, 0, 363044, -185236, 0, -165220, 92862, 0, 157160, -136730, 0, -33344, 167952, 0, 208324, 182792, 0, -7712, 29208, 0, 54144, -2024, 0, 15198, 136304, 0, 319510, -12564, 0, -10236, -69948, 0, 159192, -4692, 0, 36684, -286112, 0, 101184, 38478, 0, 19724, -32988, 0, -132840, -73820, 0, -172328, 156448, 0, 2448, 9640, 0, -122288, -83128, 0, 413436, 184320, 0, 170188, 94804, 0, 20968, 65884, 0, 11124, 39342, 0, -108644, 49056, 0, 17352, -113284, 0, -480598, 52560, 0, 52252, 236802, 0, -256448, 192918, 0, -252364, -45798, 0, -286104, -6016, 0, 151642, -89008, 0, 34624, -178564, 0, -45990, -342910, 0, 17180], 'weight': 4, 'weight_parity': 1}
• mf_twists_cc •

  Column	Type
  conductor	integer
  degree	integer
  order	integer
  parity	smallint
  source_conrey_index	integer
  source_dim	integer
  source_embedding_index	integer
  source_hecke_orbit_code	bigint
  source_is_minimal	boolean
  source_label	text
  source_level	integer
  target_conrey_index	integer
  target_dim	integer
  target_embedding_index	integer
  target_hecke_orbit_code	bigint
  target_is_minimal	boolean
  target_label	text
  target_level	integer
  twist_class_label	text
  twist_class_level	integer
  twisting_char_label	text
  twisting_conrey_index	integer
  weight	smallint

  
  
  • id: 46165188
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 31525197458702489, 'source_is_minimal': True, 'source_label': '153.4.a.h.1.4', 'source_level': 153, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31525197458702489, 'target_is_minimal': True, 'target_label': '153.4.a.h.1.4', 'target_level': 153, 'twist_class_label': '153.4.a.h.1.4', 'twist_class_level': 153, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
  • id: 46165189
    {'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 31525197458702489, 'source_is_minimal': True, 'source_label': '153.4.a.h.1.4', 'source_level': 153, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797086072985, 'target_is_minimal': True, 'target_label': '153.4.a.i.1.1', 'target_level': 153, 'twist_class_label': '153.4.a.h.1.4', 'twist_class_level': 153, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
  • id: 46165190
    {'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 31525197458702489, 'source_is_minimal': True, 'source_label': '153.4.a.h.1.4', 'source_level': 153, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 180143985161931152, 'target_is_minimal': False, 'target_label': '2448.4.a.bo.1.1', 'target_level': 2448, 'twist_class_label': '153.4.a.h.1.4', 'twist_class_level': 153, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 4}
  • id: 46165191
    {'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 31525197458702489, 'source_is_minimal': True, 'source_label': '153.4.a.h.1.4', 'source_level': 153, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 198158383671413136, 'target_is_minimal': False, 'target_label': '2448.4.a.bs.1.4', 'target_level': 2448, 'twist_class_label': '153.4.a.h.1.4', 'twist_class_level': 153, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 4}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 408150
    {'charpoly_factorization': [[[102, -50, -21, 4, 1], 1]], 'hecke_orbit_code': 31525197458702489, 'p': 2}
  • id: 408151
    {'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 31525197458702489, 'p': 3}
  • id: 408152
    {'charpoly_factorization': [[[-9078, -2612, -77, 22, 1], 1]], 'hecke_orbit_code': 31525197458702489, 'p': 5}
  • id: 408153
    {'charpoly_factorization': [[[-16488, -5160, -286, 24, 1], 1]], 'hecke_orbit_code': 31525197458702489, 'p': 7}
  • id: 408154
    {'charpoly_factorization': [[[-669528, -143760, -2695, 50, 1], 1]], 'hecke_orbit_code': 31525197458702489, 'p': 11}
  • id: 408155
    {'charpoly_factorization': [[[1030444, 33284, -3059, -26, 1], 1]], 'hecke_orbit_code': 31525197458702489, 'p': 13}
  • id: 408156
    {'charpoly_factorization': [[[-17, 1], 4]], 'hecke_orbit_code': 31525197458702489, 'p': 17}
  • id: 408157
    {'charpoly_factorization': [[[4368204, -636, -6107, -34, 1], 1]], 'hecke_orbit_code': 31525197458702489, 'p': 19}
  • id: 408158
    {'charpoly_factorization': [[[49041294, 2688592, 50287, 382, 1], 1]], 'hecke_orbit_code': 31525197458702489, 'p': 23}
  • id: 408159
    {'charpoly_factorization': [[[-232426584, 1040568, 80062, 540, 1], 1]], 'hecke_orbit_code': 31525197458702489, 'p': 29}
  • id: 408160
    {'charpoly_factorization': [[[-2282423072, -24942896, -36386, 356, 1], 1]], 'hecke_orbit_code': 31525197458702489, 'p': 31}
  • id: 408161
    {'charpoly_factorization': [[[-6443365976, -59622536, -96626, 404, 1], 1]], 'hecke_orbit_code': 31525197458702489, 'p': 37}
  • id: 408162
    {'charpoly_factorization': [[[9365221188, 6041436, -211835, -114, 1], 1]], 'hecke_orbit_code': 31525197458702489, 'p': 41}
  • id: 408163
    {'charpoly_factorization': [[[-6091569648, 63514200, -52639, -570, 1], 1]], 'hecke_orbit_code': 31525197458702489, 'p': 43}
  • id: 408164
    {'charpoly_factorization': [[[-153753984, -940416, 56312, 496, 1], 1]], 'hecke_orbit_code': 31525197458702489, 'p': 47}
  • id: 408165
    {'charpoly_factorization': [[[-2914187328, -41057088, -153988, 92, 1], 1]], 'hecke_orbit_code': 31525197458702489, 'p': 53}
  • id: 408166
    {'charpoly_factorization': [[[23071976496, 79090848, -518144, -48, 1], 1]], 'hecke_orbit_code': 31525197458702489, 'p': 59}
  • id: 408167
    {'charpoly_factorization': [[[531291272, -18951576, 103966, 1036, 1], 1]], 'hecke_orbit_code': 31525197458702489, 'p': 61}
  • id: 408168
    {'charpoly_factorization': [[[1798725056, 30663584, -67332, -812, 1], 1]], 'hecke_orbit_code': 31525197458702489, 'p': 67}
  • id: 408169
    {'charpoly_factorization': [[[82941464832, -317043296, -331538, 1044, 1], 1]], 'hecke_orbit_code': 31525197458702489, 'p': 71}
  • id: 408170
    {'charpoly_factorization': [[[-188519703168, -706496608, -265436, 1212, 1], 1]], 'hecke_orbit_code': 31525197458702489, 'p': 73}
  • id: 408171
    {'charpoly_factorization': [[[-23511973896, 282732696, -475326, -488, 1], 1]], 'hecke_orbit_code': 31525197458702489, 'p': 79}
  • id: 408172
    {'charpoly_factorization': [[[-13135194432, 7743232, 594108, 1708, 1], 1]], 'hecke_orbit_code': 31525197458702489, 'p': 83}
  • id: 408173
    {'charpoly_factorization': [[[113358314448, 14249248, -715256, -8, 1], 1]], 'hecke_orbit_code': 31525197458702489, 'p': 89}
  • id: 408174
    {'charpoly_factorization': [[[896966722688, -257523552, -2230004, 76, 1], 1]], 'hecke_orbit_code': 31525197458702489, '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': 8, 'label': '153.4.a.h', 'level': 153, 'portrait': 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', 'weight': 4}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 49157491
    {'hecke_orbit_code': 31525197458702489, 'n': 1, 'trace_an': 4}
  • id: 49157492
    {'hecke_orbit_code': 31525197458702489, 'n': 2, 'trace_an': -4}
  • id: 49157493
    {'hecke_orbit_code': 31525197458702489, 'n': 3, 'trace_an': 0}
  • id: 49157494
    {'hecke_orbit_code': 31525197458702489, 'n': 4, 'trace_an': 26}
  • id: 49157495
    {'hecke_orbit_code': 31525197458702489, 'n': 5, 'trace_an': -22}
  • id: 49157496
    {'hecke_orbit_code': 31525197458702489, 'n': 6, 'trace_an': 0}
  • id: 49157497
    {'hecke_orbit_code': 31525197458702489, 'n': 7, 'trace_an': -24}
  • id: 49157498
    {'hecke_orbit_code': 31525197458702489, 'n': 8, 'trace_an': -102}
  • id: 49157499
    {'hecke_orbit_code': 31525197458702489, 'n': 9, 'trace_an': 0}
  • id: 49157500
    {'hecke_orbit_code': 31525197458702489, 'n': 10, 'trace_an': -2}
  • id: 49157501
    {'hecke_orbit_code': 31525197458702489, 'n': 11, 'trace_an': -50}
  • id: 49157502
    {'hecke_orbit_code': 31525197458702489, 'n': 12, 'trace_an': 0}
  • id: 49157503
    {'hecke_orbit_code': 31525197458702489, 'n': 13, 'trace_an': 26}
  • id: 49157504
    {'hecke_orbit_code': 31525197458702489, 'n': 14, 'trace_an': -80}
  • id: 49157505
    {'hecke_orbit_code': 31525197458702489, 'n': 15, 'trace_an': 0}
  • id: 49157506
    {'hecke_orbit_code': 31525197458702489, 'n': 16, 'trace_an': 138}
  • id: 49157507
    {'hecke_orbit_code': 31525197458702489, 'n': 17, 'trace_an': 68}
  • id: 49157508
    {'hecke_orbit_code': 31525197458702489, 'n': 18, 'trace_an': 0}
  • id: 49157509
    {'hecke_orbit_code': 31525197458702489, 'n': 19, 'trace_an': 34}
  • id: 49157510
    {'hecke_orbit_code': 31525197458702489, 'n': 20, 'trace_an': -312}
  • id: 49157511
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  • id: 49157512
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  • id: 49157513
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  • id: 49157514
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  • id: 49157515
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  • id: 49157516
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  • id: 49157517
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  • id: 49157518
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  • id: 49157519
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  • id: 49157520
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  • id: 49157521
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  • id: 49157522
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  • id: 49157523
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  • id: 49157524
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  • id: 49157525
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  • id: 49157526
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  • id: 49157527
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  • id: 49157528
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  • id: 49157529
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  • id: 49157530
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  • id: 49157531
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  • id: 49157532
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  • id: 49157533
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  • id: 49157534
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  • id: 49157535
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  • id: 49157536
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  • id: 49157537
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  • id: 49157538
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  • id: 49157539
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  • id: 49157540
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  • id: 49157541
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  • id: 49157542
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  • id: 49157543
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  • id: 49157544
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  • id: 49157545
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  • id: 49157546
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  • id: 49157547
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  • id: 49157548
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  • id: 49157549
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  • id: 49157550
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  • id: 49157551
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  • id: 49157552
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  • id: 49157553
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  • id: 49157554
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  • id: 49157555
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  • id: 49157556
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  • id: 49157557
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  • id: 49157558
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  • id: 49157559
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  • id: 49157560
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  • id: 49157561
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  • id: 49157562
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  • id: 49157563
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  • id: 49157564
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  • id: 49157565
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  • id: 49157566
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  • id: 49157567
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  • id: 49157568
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  • id: 49157569
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  • id: 49157570
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  • id: 49157571
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  • id: 49157572
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  • id: 49157573
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  • id: 49157574
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  • id: 49157575
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  • id: 49157576
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  • id: 49157577
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  • id: 49157578
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  • id: 49157579
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  • id: 49157580
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  • id: 49157581
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  • id: 49157582
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  • id: 49157583
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  • id: 49157584
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  • id: 49157585
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  • id: 49157586
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  • id: 49157587
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  • id: 49157588
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  • id: 49157589
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  • id: 49157590
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  • id: 49157591
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  • id: 49157592
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  • id: 49157593
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  • id: 49157594
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  • id: 49157595
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  • id: 49157596
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  • id: 49157597
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  • id: 49157598
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  • id: 49157599
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  • id: 49157600
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  • id: 49157601
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  • id: 49157602
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  • id: 49157603
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  • id: 49157604
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  • id: 49157605
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  • id: 49157606
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  • id: 49157607
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  • id: 49157608
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  • id: 49157609
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  • id: 49157610
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  • id: 49157611
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  • id: 49157612
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  • id: 49157613
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  • id: 49157614
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  • id: 49157615
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  • id: 49157616
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  • id: 49157617
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  • id: 49157618
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  • id: 49157619
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  • id: 49157620
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  • id: 49157621
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  • id: 49157622
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  • id: 49157623
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  • id: 49157624
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  • id: 49157625
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  • id: 49157626
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  • id: 49157627
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  • id: 49157628
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  • id: 49157629
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  • id: 49157630
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  • id: 49157631
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  • id: 49157632
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  • id: 49157633
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  • id: 49157634
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  • id: 49157635
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  • id: 49157636
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  • id: 49157637
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  • id: 49157638
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  • id: 49157639
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  • id: 49157640
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  • id: 49157641
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  • id: 49157642
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  • id: 49157643
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  • id: 49157644
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  • id: 49157645
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  • id: 49157646
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  • id: 49157647
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  • id: 49157648
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  • id: 49157649
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  • id: 49157650
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  • id: 49157651
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  • id: 49157652
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  • id: 49157653
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  • id: 49157654
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  • id: 49157655
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  • id: 49157656
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  • id: 49157657
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  • id: 49157658
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  • id: 49157659
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  • id: 49157660
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  • id: 49157661
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  • id: 49157662
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  • id: 49157663
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  • id: 49157664
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  • id: 49157665
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  • id: 49157666
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  • id: 49157667
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  • id: 49157668
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  • id: 49157669
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  • id: 49157670
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  • id: 49157671
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  • id: 49157672
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  • id: 49157673
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  • id: 49157674
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  • id: 49157675
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  • id: 49157676
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  • id: 49157677
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  • id: 49157678
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  • id: 49157680
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  • id: 49157681
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  • id: 49157685
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  • id: 49157688
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  • id: 49157689
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  • id: 49157690
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  • id: 49157691
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  • id: 49157692
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  • id: 49157693
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  • id: 49157694
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  • id: 49157695
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  • id: 49157696
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  • id: 49157697
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  • id: 49157698
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  • id: 49157699
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  • id: 49157700
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  • id: 49157701
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  • id: 49157702
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  • id: 49157703
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  • id: 49157704
    {'hecke_orbit_code': 31525197458702489, 'n': 709, 'trace_an': -7272}
  • id: 49157705
    {'hecke_orbit_code': 31525197458702489, 'n': 719, 'trace_an': 39086}
  • id: 49157706
    {'hecke_orbit_code': 31525197458702489, 'n': 727, 'trace_an': 10592}
  • id: 49157707
    {'hecke_orbit_code': 31525197458702489, 'n': 729, 'trace_an': 0}
  • id: 49157708
    {'hecke_orbit_code': 31525197458702489, 'n': 733, 'trace_an': -44872}
  • id: 49157709
    {'hecke_orbit_code': 31525197458702489, 'n': 739, 'trace_an': -38558}
  • id: 49157710
    {'hecke_orbit_code': 31525197458702489, 'n': 743, 'trace_an': -26580}
  • id: 49157711
    {'hecke_orbit_code': 31525197458702489, 'n': 751, 'trace_an': 32516}
  • id: 49157712
    {'hecke_orbit_code': 31525197458702489, 'n': 757, 'trace_an': 76390}
  • id: 49157713
    {'hecke_orbit_code': 31525197458702489, 'n': 761, 'trace_an': 19528}
  • id: 49157714
    {'hecke_orbit_code': 31525197458702489, 'n': 769, 'trace_an': 60710}
  • id: 49157715
    {'hecke_orbit_code': 31525197458702489, 'n': 773, 'trace_an': -30484}
  • id: 49157716
    {'hecke_orbit_code': 31525197458702489, 'n': 787, 'trace_an': 9920}
  • id: 49157717
    {'hecke_orbit_code': 31525197458702489, 'n': 797, 'trace_an': -39956}
  • id: 49157718
    {'hecke_orbit_code': 31525197458702489, 'n': 809, 'trace_an': -34502}
  • id: 49157719
    {'hecke_orbit_code': 31525197458702489, 'n': 811, 'trace_an': -21048}
  • id: 49157720
    {'hecke_orbit_code': 31525197458702489, 'n': 821, 'trace_an': 20066}
  • id: 49157721
    {'hecke_orbit_code': 31525197458702489, 'n': 823, 'trace_an': -40048}
  • id: 49157722
    {'hecke_orbit_code': 31525197458702489, 'n': 827, 'trace_an': 11802}
  • id: 49157723
    {'hecke_orbit_code': 31525197458702489, 'n': 829, 'trace_an': -32472}
  • id: 49157724
    {'hecke_orbit_code': 31525197458702489, 'n': 839, 'trace_an': 24646}
  • id: 49157725
    {'hecke_orbit_code': 31525197458702489, 'n': 841, 'trace_an': 33920}
  • id: 49157726
    {'hecke_orbit_code': 31525197458702489, 'n': 853, 'trace_an': 36812}
  • id: 49157727
    {'hecke_orbit_code': 31525197458702489, 'n': 857, 'trace_an': -28048}
  • id: 49157728
    {'hecke_orbit_code': 31525197458702489, 'n': 859, 'trace_an': 8736}
  • id: 49157729
    {'hecke_orbit_code': 31525197458702489, 'n': 863, 'trace_an': -70804}
  • id: 49157730
    {'hecke_orbit_code': 31525197458702489, 'n': 877, 'trace_an': -20892}
  • id: 49157731
    {'hecke_orbit_code': 31525197458702489, 'n': 881, 'trace_an': -35736}
  • id: 49157732
    {'hecke_orbit_code': 31525197458702489, 'n': 883, 'trace_an': -23518}
  • id: 49157733
    {'hecke_orbit_code': 31525197458702489, 'n': 887, 'trace_an': -2186}
  • id: 49157734
    {'hecke_orbit_code': 31525197458702489, 'n': 907, 'trace_an': -26556}
  • id: 49157735
    {'hecke_orbit_code': 31525197458702489, 'n': 911, 'trace_an': -103830}
  • id: 49157736
    {'hecke_orbit_code': 31525197458702489, 'n': 919, 'trace_an': 4166}
  • id: 49157737
    {'hecke_orbit_code': 31525197458702489, 'n': 929, 'trace_an': 59950}
  • id: 49157738
    {'hecke_orbit_code': 31525197458702489, 'n': 937, 'trace_an': -8132}
  • id: 49157739
    {'hecke_orbit_code': 31525197458702489, 'n': 941, 'trace_an': 9564}
  • id: 49157740
    {'hecke_orbit_code': 31525197458702489, 'n': 947, 'trace_an': 33064}
  • id: 49157741
    {'hecke_orbit_code': 31525197458702489, 'n': 953, 'trace_an': -106292}
  • id: 49157742
    {'hecke_orbit_code': 31525197458702489, 'n': 961, 'trace_an': 80344}
  • id: 49157743
    {'hecke_orbit_code': 31525197458702489, 'n': 967, 'trace_an': 15034}
  • id: 49157744
    {'hecke_orbit_code': 31525197458702489, 'n': 971, 'trace_an': 64492}
  • id: 49157745
    {'hecke_orbit_code': 31525197458702489, 'n': 977, 'trace_an': 66444}
  • id: 49157746
    {'hecke_orbit_code': 31525197458702489, 'n': 983, 'trace_an': -35178}
  • id: 49157747
    {'hecke_orbit_code': 31525197458702489, 'n': 991, 'trace_an': 84956}
  • id: 49157748
    {'hecke_orbit_code': 31525197458702489, 'n': 997, 'trace_an': 13708}