Embedded newform data - 87.3.b.a.59.2

Formats: - HTML - YAML - JSON - 2024-06-13T07:52:00.107629

• 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': 783, 'analytic_conductor': 2.370578299934583, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 3, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [87, 2, [59, 31], [1, 2]], 'cm_discs': [], 'conrey_index': 59, 'dim': 18, 'field_disc': -84659979926581729946059685164394857005804683264, 'field_disc_factorization': [[-1, 1], [2, 22], [7, 2], [29, 9], [2273, 2], [2344340347, 2]], 'field_poly': [15341, 0, 152462, 0, 482583, 0, 593533, 0, 318861, 0, 88449, 0, 13673, 0, 1187, 0, 54, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 68769808471, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 36, 'hecke_ring_index_factorization': [[2, 2], [3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '87.3.b.a', 'level': 87, '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': [3, 29], 'level_radical': 87, 'minimal_twist': '87.3.b.a', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{1}q^{2}-\\beta _{9}q^{3}+(-2+\\beta _{2})q^{4}-\\beta _{5}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 18, 'rm_discs': [], 'sato_tate_group': '2.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '87.3.b', 'trace_display': [0, -2, 0, -12], 'trace_hash': 1031005604279723279, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.399', 'prec': 20}, {'__RealLiteral__': 0, 'data': '5.424', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1075.259', 'prec': 27}, {'__RealLiteral__': 0, 'data': '885.776', 'prec': 24}, {'__RealLiteral__': 0, 'data': '122225.248', 'prec': 34}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.508', 'prec': 17}, 'traces': [18, 0, -2, -36, 0, 8, -12, 0, -22, 12, 0, 18, 32, 0, 30, 76, 0, -50, -24, 0, 32, -94, 0, 38, -114, 0, -68, 94, 0, -88, 24, 0, -20, 70, 0, 168, -40, 0, 38, 160, 0, -118, -36, 0, 32, -228, 0, 94, 190, 0, 204, -386, 0, -32, 188, 0, -140, 0, 0, -354, -8, 0, -340, 86, 0, 178, 136, 0, 4, 252, 0, 358, -68, 0, 244, 120, 0, 66, -96, 0, 366, -548, 0, -664, -320, 0, 0, 504, 0, 562, -156, 0, -40, -174, 0, -504, -12, 0, -198, 392, 0, -56, -480, 0, -300, 504, 0, -76, -112, 0, 20, -270, 0, 796, 544, 0, -728, 800, 0, 472, 782, 0, 524, -1000, 0, -488, 508, 0, 168, -1304, 0, 810, -664, 0, -180, -324, 0, 452, -448, 0, 112, 1384, 0, -1072, 0, 0, -666, -784, 0, -1728, -360, 0, 704, 914, 0, -686, 872, 0, 942, -612, 0, 782, -516, 0, 408, 332, 0, 1648, 546, 0, -624, -224, 0, 0, 1528, 0, 200, -582, 0, -56, -880, 0, -316, 1456, 0, -986, 84, 0, 756, -1812, 0, -286, -556, 0, -514, -1470, 0, -234, -280, 0, -348, 2386, 0, -1438, 568, 0, 900, 2642, 0, 1364, -1244, 0, -960, -512, 0, 322, -1448, 0, 304, -360, 0, -196, -952, 0, 562, -1974, 0, 1004, 336, 0, -1700, 174, 0, -734, 116, 0, -1336, 766, 0, 2510, 2036, 0, -402, 1476, 0, 2128, -1152, 0, 868, 1044, 0, 1530, 1216, 0, 1592, -140, 0, -3550, 552, 0, -116, -34, 0, 282, -1960, 0, -632, -1954, 0, -2292, 1832, 0, -1920, -832, 0, 1332, 416, 0, 154, -936, 0, -2606, -452, 0, 448, -1218, 0, -822, 1106, 0, -552, 496, 0, 3098, 2524, 0, 1512, -392, 0, -2800, 104, 0, -656, -3144, 0, 2638, -1476, 0, 1052, -2048, 0, 2116, -1700, 0, 2064, 4060, 0, -692, 116, 0, -76, -916, 0, -4008, 880, 0, 2306, 2392, 0, -1290, 196, 0, 1028, 4, 0, 252, -132, 0, 2188, 6612, 0, 1832, 48, 0, -2296, 904, 0, -754, -188, 0, -216, -3438, 0, -496, -832, 0, -1924, 952, 0, -3806, -302, 0, 568, -4386, 0, 2016, -508, 0, -3124, -4156, 0, -1088, -1844, 0, -2358, 2412, 0, 358, 1656, 0, 2632, 2404, 0, 1784, -4104, 0, -1930, 2916, 0, 2832, -640, 0, 1304, 1492, 0, 1002, -3460, 0, 556, -1808, 0, 1694, 3380, 0, -1736, 1218, 0, -328, 1124, 0, -2396, 1476, 0, 3128, -792, 0, 256, 3552, 0, 5332, -1096, 0, 1010, -3752, 0, 1444, 3912, 0, 812, 2292, 0, -5216, 2452, 0, -406, 1702, 0, -332, -4572, 0, -1058, -3098, 0, -2692, 4880, 0, -1650, -4652, 0, 872, -152, 0, 1016, 60, 0, -8096, 140, 0, -1384, -2904, 0, -2536, 1920, 0, -316, -1880, 0, 7506, 5180, 0, 540, -7332, 0, -4346, -2816, 0, 1496, -4376, 0, 4392, -544, 0, 1652, -3174, 0, 3680, -920, 0, 2680, 8640, 0, -3848, 232, 0, 454, 2368, 0, -3524, 592, 0, 4716, 4866, 0, -1260, 2904, 0, 2844, -4204, 0, -3108, -768, 0, 4324, 7324, 0, 1352, 868, 0, -2224, 4020, 0, -754, 376, 0, -2536, -6652, 0, -1450, -1006, 0, -1252, 6704, 0, -1708, -1996, 0, 316, -2690, 0, 3964, -1248, 0, -3386, -2170, 0, -4266, -3608, 0, -4200, 1554, 0, -60, -1728, 0, 6408, 2922, 0, 540, -3980, 0, -3236, 1452, 0, 4434, -3648, 0, -276, -2624, 0, 208, -5292, 0, -556, -120, 0, 3094, -484, 0, -4456, 812, 0, 2720, 3444, 0, -5492, -3062, 0, 6014, 136, 0, 596, 5480, 0, 6088, 3512, 0, 3272, -2620, 0, 7030, 5492, 0, -704, 4900, 0, -8084, 4712, 0, -464, -1720, 0, 1228, -4192, 0, -3012, 2228, 0, -2964, 2284, 0, -2356, -1010, 0, 1598, -2494, 0, 1956, -296, 0, -12864, -1340, 0, -472, -2602, 0, -4530, 1060, 0, -1188, 100, 0, 4692, 4176, 0, 3256, -8424, 0, -5838, 2808, 0, 208, -1352, 0, 6554, -640, 0, 3016, -3654, 0, 4528, -1928, 0, 6256, 8188, 0, -2680, 696, 0, -460, -7060, 0, -6478, 5308, 0, 3676, 350, 0, -972, 2200, 0, 1304, -2892, 0, -1836, -6000, 0, 6652, 7912, 0, 3284, -72, 0, -2096, 5652, 0, -928, 3580, 0, -3178, -13630, 0, -582, -3956, 0, -720, 4448, 0, -5232, -108, 0, 3386, -5024, 0, 4376, -2060, 0, -5540, -2004, 0, -1808, -2588, 0, -3210, 5034, 0, 1678, 2020, 0, 4838, 7216, 0, -404, -752, 0, -5962, 1748, 0, 3772, -5684, 0, -816, 4840, 0, 1350, -3348, 0, 396, -5394, 0, 1352, 4060, 0, -948, 1218, 0, -408, 2456, 0, -4180, 7204, 0, 8052, 3748, 0, 1460, 1356, 0, 4194, -6884, 0, 1214, -1564, 0, -240, 4292, 0, 1180, 3990, 0, -12578, 4632, 0, -522, -4266, 0, 4080, -5428, 0, -3484, 1848, 0, -4432, 2776, 0, -2390, -4414, 0, 1084, 896, 0, 1676, -2616, 0, -7176, -200, 0, 204, -6208, 0, 90, 5456, 0, -1640, -3784, 0, 8374, 252, 0, 5060, -3480, 0, -3748, -6620, 0, -520, -9628, 0, 6660, -6248, 0, 648, -6344, 0, 6886, 832, 0, 1792, 11856, 0, -3524, -522, 0, -4106, -300, 0, 194, -1032, 0, 644, 6834, 0, -3776, 9048, 0, 1924, 6460, 0, -4354, 4436, 0, 6080, 9404, 0, 4520, 732, 0, -1262, -1576, 0, -1508, 4284, 0, -2924, -8, 0, 1384, -2300, 0, -1364, 3216, 0, -2954, 1916, 0, 3816, -10106, 0, 12, -4432, 0, -1302, -9438, 0, -2328, -8696, 0, -5276, -426, 0, -80, 1816, 0, 5492, 8964, 0, -272, -5400, 0, -848, 14668, 0, -612, 864, 0, -1132, 8320, 0, -5360, -6860, 0, 2644, -8840, 0, 2998, -152, 0, -3932, 1624, 0, 1026, 672, 0, -7832, -3224, 0, 7098, 1812, 0, 2698, 1864, 0, 6380, -2464, 0, 8708, -6776, 0, -552, -1472, 0, 2508, -2784, 0, -10042, 5584, 0, 464, 1712, 0, 3174, -6898, 0, -1328, -14542, 0, -3920, 5240, 0, -2196, -6560, 0, 742, 500, 0, -1488, -52, 0, -6046, 404, 0, -3712, 10632, 0, 348, 8236, 0, -2964, 3936, 0, 1860, 6396, 0, 3208, -1888, 0, -4320, -1088, 0, -1420, -10516], 'weight': 3, '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], [0.0, -1.762328426442841], [-0.12637516464097692, 0.991982518879222], [-2.1058014826485, 0.0], [0.0, -1.7110071548317833], [1.748198991555225, 0.2227145450431878], [-1.11421587824362, 0.0], [0.0, 1.948785386874091], [-0.968058635523932, -0.2507239082886653], [-3.015356546807139, 0.0], [0.0, -0.09962447055886436], [0.26612100907091746, -2.0889182590172592], [1.1101586275617816, 0.0], [0.0, 1.9636143154227068], [1.6972891872704035, 0.2162288108937561], [1.32859840167612, 0.0], [0.0, -1.2895792107783], [-0.4418578707659627, 1.7060372518472946], [1.191538257464312, 0.0], [0.0, 3.6030414034669604], [0.14080921505862817, -1.1052826734753307], [-0.17557103643520455, 0.0], [0.0, 0.03182735363365751], [-1.9331610368263799, -0.24627807411614314], [-1.9275454838855541, 0.0], [0.0, -1.9564641072128988], [0.3710523035338896, -0.9286119685004034], [2.3463174483959155, 0.0], [0.0, -0.18569533817705186], [0.3810661800539998, -2.9911809826206985], [0.44277654180471515, 0.0], [0.0, -0.3926413437262592], [0.09882573324699116, 0.012590058869146641], [-2.2726621013043222, 0.0], [0.0, 1.906431339702013], [2.0385393099769797, 0.5279747778096979], [0.8497103548294478, 0.0], [0.0, -2.0998817423235256], [-0.14029647933572112, 1.1012579517242362], [3.334385740173195, 0.0], [0.0, -0.948069370009097], [-1.9478710747203158, -0.24815208240292375], [-0.7145953852284843, 0.0], [0.0, 0.2097893578109284], [-0.42899040096929425, 1.6563552516781412], [0.05609025004704348, 0.0], [0.0, 0.20666011621707334], [-0.16790184175355846, 1.3179463890735859], [0.24147702333020143, 0.0], [0.0, 3.396968199513033], [1.2792400338021372, 0.16297078507968873], [-2.3377736838946235, 0.0], [0.0, -0.0895712907446757], [-1.6365192692233048, -0.6539160222148711], [-0.17045818192254528, 0.0], [0.0, -2.171367621344248], [-0.15058084346307518, 1.1819851219804072], [-0.327256173127335, 0.0], [0.0, 0.8153018572937739], [-3.5741540870372828, -0.45533495057139367], [0.3035706223831808, 0.0], [0.0, -0.7803176861845064], [1.0786263027716183, 0.2793605596705281], [0.6366354002306192, 0.0], [0.0, -1.8994893547564415], [0.022187818635685932, -0.1741633989652299], [0.9477617136547586, 0.0], [0.0, 2.715597814049626], [-0.03157217842677534, -0.004022187055540063], [3.359758143018366, 0.0], [0.0, 0.6417506930998226], [0.4886070886129108, -1.8865385225463105], [-0.9488527927524149, 0.0], [0.0, -1.4974687125587687], [0.2435938778790084, -1.9120914243590608], [-2.509143029200758, 0.0], [0.0, 0.11100316695830072], [1.9407781931698393, 0.24724847366319197], [-1.2333567161134282, 0.0], [0.0, -2.273241371165913], [0.8742750436249139, 0.48543088910230564], [-1.6708096010067874, 0.0], [0.0, -1.4673271384348856], [-0.29651625384103064, 2.327505892550049], [-2.2064792563639957, 0.0], [0.0, 1.2593517607930305], [0.18420652930900086, 0.023467278935186815], [0.19414671240018297, 0.0], [0.0, 0.8828325293079524], [2.9190419443202744, 0.7560219782992997], [-1.2369563701984825, 0.0], [0.0, -0.0670220884705341], [-0.05595595836973327, 0.43922658924007246], [0.36420299742132944, 0.0], [0.0, -2.0387304837772335], [0.389493349165697, 0.04962011445826041], [0.3774094735328805, 0.0], [0.0, -0.4255618225476151], [-0.024978236619707547, 0.09644232903400836], [4.05902813783862, 0.0], [0.0, 1.643949589415301], [0.28720804722564225, -2.254441075813207], [0.053485193213918626, 0.0], [0.0, 2.1634609105045968], [-1.8911465624278925, -0.24092557443156007], [-0.1578540318725185, 0.0], [0.0, -1.4460282439569017], [-0.781362490921806, 1.9554724600732916], [0.7457869628609183, 0.0], [0.0, 0.30040329952186673], [-0.10738228598871437, 0.842897818101473], [-1.480345434956628, 0.0], [0.0, -0.863418979939644], [2.0830459800985803, 0.26537290091271704], [0.054456829786549366, 0.0], [0.0, 0.39103751845415036], [-1.0746986462125794, -0.2783433099226707], [1.4368296392404623, 0.0], [0.0, 1.4368696329020578], [-0.4213835468909131, 3.3076523654519647], [0.990074964865866, 0.0], [0.0, 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-1.662427810750951], [-0.36255385282067, 1.3998401287739857], [-2.930540888668549, 0.0], [0.0, -2.7579938904517713], [0.007898024081566373, -0.06199558152789601], [-1.1784947342291825, 0.0], [0.0, 1.9294436234404788], [1.5242634407551863, 0.1941859252714432], [-1.138024126844407, 0.0], [0.0, -1.3205057891748628], [1.2466884045517708, -1.697105743989095], [-1.7145254880491207, 0.0], [0.0, -0.24253780895298063], [0.27042784514861223, -2.1227247914391074], [0.403323443694119, 0.0], [0.0, 1.5083726147222851], [0.12893002221345978, 0.016425241850834067], [0.08795172332444787, 0.0], [0.0, 0.8700517130446729], [-0.7219655096586779, -0.18698662207922315], [1.4198904942717954, 0.0], [0.0, 1.823381270055621], [-0.2334886985743455, 1.8327707663101187], [1.4122756713057303, 0.0], [0.0, 0.4220227574638754], [0.22841784575312934, 0.029099648748450967], [-2.7855467816537254, 0.0], [0.0, -0.022743680030646692], [0.07531828931893297, -0.29080800824202535], [0.9228756734292187, 0.0], [0.0, -0.17385237634466952], [0.20900352048522744, -1.6405742322438512], [-1.260150847903256, 0.0], [0.0, -0.6881699759054827], [-3.0651264514281777, -0.39048657871743353], [1.3210247502198662, 0.0], [0.0, -1.2719078037737837], [0.3152869844960653, -0.7890512052533498], [-3.0927944348300374, 0.0]], 'angles': [-0.32838021605287776, None, -0.33662385431307834, -0.3440445207635691, -0.4920688543492492, -0.15634395030323087, -0.388472492673278, -0.1484236639355446, 0.0025328472410332285, None, -0.21447059469320962, -0.18016250844272294, -0.421398563727781, -0.3081509181385182, 0.01647489605283507, -0.4928697582182494, 0.06682598607997856, -0.2257488829179085, -0.17142636746666312, 0.051988528854811866, -0.3286722481218207, -0.3557610395856765, -0.3689044173333638, 0.07276188709876104, -0.21978554509470002, 0.15356380463325825, -0.24574327607833607, -0.37137806687423425, -0.1891828421359849, -0.42895528422167856, -0.06240050502378178, 0.016613842924858922, -0.3303119461615773, -0.11028101057373503, 0.053945364454415445, -0.3343078380103084, -0.24970482259426058, -0.24412981483093238, -0.4954844732129926, -0.4796390312276201, -0.451526264018205, -0.23897309456072788, 0.08843493774045157, -0.10082580883128524, 0.06770763429652774, -0.21777405293702803, -0.3392803504151667, -0.22914807375394322, 0.11272893679605227, -0.34099817967509854, 0.004040687642042256, 0.061969437110040625, -0.12751933812428037, -0.47055044624298165, 0.13277032596744268, -0.4802204997424042, -0.44418642846306594, -0.18310010377816296, -0.2288999004809068, 0.14136770627035408, -0.2938461916979929, -0.3739686135884907, -0.47237947384280965, 0.18291022040696048, -0.23944763965688534, -0.44335618866348336, -0.40495366717941034, -0.3218304712188144, -0.4913444112761854, -0.2629471498833808, -0.4890849741971557, 0.012883221393203862, -0.20198269646037792, -0.08947978751356009, -0.262282874803137, -0.4822248891838018, -0.44727265642665176, -0.4502080763955138, -0.31392148129537106, -0.16460162465087164, 0.13379160484137467, -0.2329279343379701, -0.4899661165968385, -0.38982698716993003, -0.3985255055780327, -0.4909013873580988, 0.02977609900076577, -0.14063539191890492, -0.48325977543820225, -0.35996809227584725, -0.47039398687930967, 0.019738521599424616, -0.23903960840759073, 0.06598932200534507, -0.19124160206620347, 0.08559923368892347, 0.003350108508272164, -0.385950837233074, -0.1646007520267672, -0.17952808958829425, -0.2556626139011305, 0.14304251338591778, -0.49528400346820384, 0.04428812578122137, -0.3067126307535404, -0.4271184346469042, -0.42778321483635195, 0.02371177259441534, -0.4311905943620705, -0.11102918268962984, -0.1382593716757635, -0.24199744031029305, -0.4118779075630149, -0.31045239900225696, -0.16518924240673313, -0.4203444436690237, -0.2218277024093977, 0.11239797657811687, -0.4344338000462587, 0.05157166863729747, -0.23150781695056968, -0.11147580608999795, 0.08838218592738921, 0.1188986809624822, -0.207271478428338, 0.0754846689262383, -0.18934885356794887, 0.06911110451307986, -0.2893301984029169, -0.3028022393557145, -0.2518615267518732, -0.4359403274884, -0.2018745529593143, -0.11165068726215217, 0.06320338080858376, -0.414611471903429, -0.4745869389861914, -0.14918514285904383, 0.04289478275517518, -0.36413089337628984, -0.157548198752879, 0.09637893181022944, -0.39078423066784745, 0.06116318446154774, -0.2718612650602463, -0.41977925289178264, -0.1822708241648682, -0.4425913190217002, -0.1979503860013292, 0.05724628862555762, -0.3420455143060461, -0.3992808523944651, -0.3445437534200455, 0.04118237315922614, -0.22861154166660652, -0.38863853191243236, -0.16009441220811918, -0.30896853528310986, -0.42471179410224985, 0.016558233922533104, -0.42840332694505745, 0.019054678991452707, -0.350287825728497, -0.3852245477173797, 0.1359842272548264, 0.1826112231725366, -0.17366686816480972, -0.13516955238044698], 'char_orbit_index': 2, 'conrey_index': 59, 'dual_conrey_index': 59, 'dual_embedding_index': 17, 'dual_embedding_m': 17, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': -3.524656852885682, 'embedding_root_real': 0.0, 'hecke_orbit': 1, 'hecke_orbit_code': 68769808471, 'label': '87.3.b.a.59.2', 'level': 87, 'weight': 3}
• 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

  
  {'Nk2': 783, 'analytic_conductor': 2.370578299934583, 'char_conductor': 3, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [87, 2, [59, 31], [1, 2]], 'conrey_index': 59, 'cusp_dim': 18, 'dim': 18, 'eis_dim': 4, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 68769808471, 'hecke_orbit_dims': [18], 'label': '87.3.b', 'level': 87, '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': [3, 29], 'level_radical': 87, 'mf_dim': 22, 'mf_new_dim': 18, 'num_forms': 1, 'prim_orbit_index': 2, 'relative_dim': 18, 'sturm_bound': 30, 'trace_bound': 0, 'trace_display': [0, -2, 0, -12], 'traces': [18, 0, -2, -36, 0, 8, -12, 0, -22, 12, 0, 18, 32, 0, 30, 76, 0, -50, -24, 0, 32, -94, 0, 38, -114, 0, -68, 94, 0, -88, 24, 0, -20, 70, 0, 168, -40, 0, 38, 160, 0, -118, -36, 0, 32, -228, 0, 94, 190, 0, 204, -386, 0, -32, 188, 0, -140, 0, 0, -354, -8, 0, -340, 86, 0, 178, 136, 0, 4, 252, 0, 358, -68, 0, 244, 120, 0, 66, -96, 0, 366, -548, 0, -664, -320, 0, 0, 504, 0, 562, -156, 0, -40, -174, 0, -504, -12, 0, -198, 392, 0, -56, -480, 0, -300, 504, 0, -76, -112, 0, 20, -270, 0, 796, 544, 0, -728, 800, 0, 472, 782, 0, 524, -1000, 0, -488, 508, 0, 168, -1304, 0, 810, -664, 0, -180, -324, 0, 452, -448, 0, 112, 1384, 0, -1072, 0, 0, -666, -784, 0, -1728, -360, 0, 704, 914, 0, -686, 872, 0, 942, -612, 0, 782, -516, 0, 408, 332, 0, 1648, 546, 0, -624, -224, 0, 0, 1528, 0, 200, -582, 0, -56, -880, 0, -316, 1456, 0, -986, 84, 0, 756, -1812, 0, -286, -556, 0, -514, -1470, 0, -234, -280, 0, -348, 2386, 0, -1438, 568, 0, 900, 2642, 0, 1364, -1244, 0, -960, -512, 0, 322, -1448, 0, 304, -360, 0, -196, -952, 0, 562, -1974, 0, 1004, 336, 0, -1700, 174, 0, -734, 116, 0, -1336, 766, 0, 2510, 2036, 0, -402, 1476, 0, 2128, -1152, 0, 868, 1044, 0, 1530, 1216, 0, 1592, -140, 0, -3550, 552, 0, -116, -34, 0, 282, -1960, 0, -632, -1954, 0, -2292, 1832, 0, -1920, -832, 0, 1332, 416, 0, 154, -936, 0, -2606, -452, 0, 448, -1218, 0, -822, 1106, 0, -552, 496, 0, 3098, 2524, 0, 1512, -392, 0, -2800, 104, 0, -656, -3144, 0, 2638, -1476, 0, 1052, -2048, 0, 2116, -1700, 0, 2064, 4060, 0, -692, 116, 0, -76, -916, 0, -4008, 880, 0, 2306, 2392, 0, -1290, 196, 0, 1028, 4, 0, 252, -132, 0, 2188, 6612, 0, 1832, 48, 0, -2296, 904, 0, -754, -188, 0, -216, -3438, 0, -496, -832, 0, -1924, 952, 0, -3806, -302, 0, 568, -4386, 0, 2016, -508, 0, -3124, -4156, 0, -1088, -1844, 0, -2358, 2412, 0, 358, 1656, 0, 2632, 2404, 0, 1784, -4104, 0, -1930, 2916, 0, 2832, -640, 0, 1304, 1492, 0, 1002, -3460, 0, 556, -1808, 0, 1694, 3380, 0, -1736, 1218, 0, -328, 1124, 0, -2396, 1476, 0, 3128, -792, 0, 256, 3552, 0, 5332, -1096, 0, 1010, -3752, 0, 1444, 3912, 0, 812, 2292, 0, -5216, 2452, 0, -406, 1702, 0, -332, -4572, 0, -1058, -3098, 0, -2692, 4880, 0, -1650, -4652, 0, 872, -152, 0, 1016, 60, 0, -8096, 140, 0, -1384, -2904, 0, -2536, 1920, 0, -316, -1880, 0, 7506, 5180, 0, 540, -7332, 0, -4346, -2816, 0, 1496, -4376, 0, 4392, -544, 0, 1652, -3174, 0, 3680, -920, 0, 2680, 8640, 0, -3848, 232, 0, 454, 2368, 0, -3524, 592, 0, 4716, 4866, 0, -1260, 2904, 0, 2844, -4204, 0, -3108, -768, 0, 4324, 7324, 0, 1352, 868, 0, -2224, 4020, 0, -754, 376, 0, -2536, -6652, 0, -1450, -1006, 0, -1252, 6704, 0, -1708, -1996, 0, 316, -2690, 0, 3964, -1248, 0, -3386, -2170, 0, -4266, -3608, 0, -4200, 1554, 0, -60, -1728, 0, 6408, 2922, 0, 540, -3980, 0, -3236, 1452, 0, 4434, -3648, 0, -276, -2624, 0, 208, -5292, 0, -556, -120, 0, 3094, -484, 0, -4456, 812, 0, 2720, 3444, 0, -5492, -3062, 0, 6014, 136, 0, 596, 5480, 0, 6088, 3512, 0, 3272, -2620, 0, 7030, 5492, 0, -704, 4900, 0, -8084, 4712, 0, -464, -1720, 0, 1228, -4192, 0, -3012, 2228, 0, -2964, 2284, 0, -2356, -1010, 0, 1598, -2494, 0, 1956, -296, 0, -12864, -1340, 0, -472, -2602, 0, -4530, 1060, 0, -1188, 100, 0, 4692, 4176, 0, 3256, -8424, 0, -5838, 2808, 0, 208, -1352, 0, 6554, -640, 0, 3016, -3654, 0, 4528, -1928, 0, 6256, 8188, 0, -2680, 696, 0, -460, -7060, 0, -6478, 5308, 0, 3676, 350, 0, -972, 2200, 0, 1304, -2892, 0, -1836, -6000, 0, 6652, 7912, 0, 3284, -72, 0, -2096, 5652, 0, -928, 3580, 0, -3178, -13630, 0, -582, -3956, 0, -720, 4448, 0, -5232, -108, 0, 3386, -5024, 0, 4376, -2060, 0, -5540, -2004, 0, -1808, -2588, 0, -3210, 5034, 0, 1678, 2020, 0, 4838, 7216, 0, -404, -752, 0, -5962, 1748, 0, 3772, -5684, 0, -816, 4840, 0, 1350, -3348, 0, 396, -5394, 0, 1352, 4060, 0, -948, 1218, 0, -408, 2456, 0, -4180, 7204, 0, 8052, 3748, 0, 1460, 1356, 0, 4194, -6884, 0, 1214, -1564, 0, -240, 4292, 0, 1180, 3990, 0, -12578, 4632, 0, -522, -4266, 0, 4080, -5428, 0, -3484, 1848, 0, -4432, 2776, 0, -2390, -4414, 0, 1084, 896, 0, 1676, -2616, 0, -7176, -200, 0, 204, -6208, 0, 90, 5456, 0, -1640, -3784, 0, 8374, 252, 0, 5060, -3480, 0, -3748, -6620, 0, -520, -9628, 0, 6660, -6248, 0, 648, -6344, 0, 6886, 832, 0, 1792, 11856, 0, -3524, -522, 0, -4106, -300, 0, 194, -1032, 0, 644, 6834, 0, -3776, 9048, 0, 1924, 6460, 0, -4354, 4436, 0, 6080, 9404, 0, 4520, 732, 0, -1262, -1576, 0, -1508, 4284, 0, -2924, -8, 0, 1384, -2300, 0, -1364, 3216, 0, -2954, 1916, 0, 3816, -10106, 0, 12, -4432, 0, -1302, -9438, 0, -2328, -8696, 0, -5276, -426, 0, -80, 1816, 0, 5492, 8964, 0, -272, -5400, 0, -848, 14668, 0, -612, 864, 0, -1132, 8320, 0, -5360, -6860, 0, 2644, -8840, 0, 2998, -152, 0, -3932, 1624, 0, 1026, 672, 0, -7832, -3224, 0, 7098, 1812, 0, 2698, 1864, 0, 6380, -2464, 0, 8708, -6776, 0, -552, -1472, 0, 2508, -2784, 0, -10042, 5584, 0, 464, 1712, 0, 3174, -6898, 0, -1328, -14542, 0, -3920, 5240, 0, -2196, -6560, 0, 742, 500, 0, -1488, -52, 0, -6046, 404, 0, -3712, 10632, 0, 348, 8236, 0, -2964, 3936, 0, 1860, 6396, 0, 3208, -1888, 0, -4320, -1088, 0, -1420, -10516], 'weight': 3, '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: 571637
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 59, 'source_dim': 18, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68769808471, 'source_is_minimal': True, 'source_label': '87.3.b.a.59.2', 'source_level': 87, 'target_conrey_index': 59, 'target_dim': 18, 'target_embedding_index': 2, 'target_hecke_orbit_code': 68769808471, 'target_is_minimal': True, 'target_label': '87.3.b.a.59.2', 'target_level': 87, 'twist_class_label': '87.3.b.a.59.2', 'twist_class_level': 87, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
  • id: 571638
    {'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 59, 'source_dim': 18, 'source_embedding_index': 2, 'source_hecke_orbit_code': 68769808471, 'source_is_minimal': True, 'source_label': '87.3.b.a.59.2', 'source_level': 87, 'target_conrey_index': 59, 'target_dim': 18, 'target_embedding_index': 17, 'target_hecke_orbit_code': 68769808471, 'target_is_minimal': True, 'target_label': '87.3.b.a.59.17', 'target_level': 87, 'twist_class_label': '87.3.b.a.59.2', 'twist_class_level': 87, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
• mf_hecke_charpolys •

  Column	Type
  charpoly_factorization	jsonb
  hecke_orbit_code	bigint
  p	integer

  
  
  • id: 266450
    {'charpoly_factorization': [[[15341, 0, 152462, 0, 482583, 0, 593533, 0, 318861, 0, 88449, 0, 13673, 0, 1187, 0, 54, 0, 1], 1]], 'hecke_orbit_code': 68769808471, 'p': 2}
  • id: 266451
    {'charpoly_factorization': [[[387420489, 86093442, 62178597, 24446286, 2184813, 2152008, -509571, -291438, -88776, -65556, -9864, -3598, -699, 328, 37, 46, 13, 2, 1], 1]], 'hecke_orbit_code': 68769808471, 'p': 3}
  • id: 266452
    {'charpoly_factorization': [[[87317155136, 0, 141084787376, 0, 74790649340, 0, 14969679777, 0, 1395791106, 0, 69922399, 0, 1999560, 0, 32623, 0, 282, 0, 1], 1]], 'hecke_orbit_code': 68769808471, 'p': 5}
  • id: 266453
    {'charpoly_factorization': [[[772360, 1194852, -112928, -370980, 50330, 15577, -1384, -250, 6, 1], 2]], 'hecke_orbit_code': 68769808471, 'p': 7}
  • id: 266454
    {'charpoly_factorization': [[[804411847193600, 0, 780157698524096, 0, 98148036984932, 0, 5417353451401, 0, 163636881618, 0, 2925378963, 0, 31622840, 0, 201995, 0, 698, 0, 1], 1]], 'hecke_orbit_code': 68769808471, 'p': 11}
  • id: 266455
    {'charpoly_factorization': [[[-448069760, 20213296, 104270194, -8453151, -2303780, 155599, 12130, -769, -16, 1], 2]], 'hecke_orbit_code': 68769808471, 'p': 13}
  • id: 266456
    {'charpoly_factorization': [[[1363332858179552064, 0, 484937709293930256, 0, 45838266943984544, 0, 1414719223596680, 0, 20367712037316, 0, 157523464889, 0, 685615812, 0, 1656598, 0, 2048, 0, 1], 1]], 'hecke_orbit_code': 68769808471, 'p': 17}
  • id: 266457
    {'charpoly_factorization': [[[-1679616, -49175424, -40192992, 21740508, 7259144, 433332, -19332, -1477, 12, 1], 2]], 'hecke_orbit_code': 68769808471, 'p': 19}
  • id: 266458
    {'charpoly_factorization': [[[371859382451994361856, 0, 712716857704642314240, 0, 35262700252155342848, 0, 416984871333484800, 0, 2252643953360256, 0, 6626611786384, 0, 11198592608, 0, 10704872, 0, 5264, 0, 1], 1]], 'hecke_orbit_code': 68769808471, 'p': 23}
  • id: 266459
    {'charpoly_factorization': [[[29, 0, 1], 9]], 'hecke_orbit_code': 68769808471, 'p': 29}
  • id: 266460
    {'charpoly_factorization': [[[-622914048, 2106778368, -2064472672, 511745504, -47479982, 1176509, 56714, -2528, -12, 1], 2]], 'hecke_orbit_code': 68769808471, 'p': 31}
  • id: 266461
    {'charpoly_factorization': [[[-23130932961280, 1896828416768, 80145827520, -8880724944, -10729520, 11099360, -52000, -5569, 20, 1], 2]], 'hecke_orbit_code': 68769808471, 'p': 37}
  • id: 266462
    {'charpoly_factorization': [[[160701513245713970487833600, 0, 33719192355778185104980736, 0, 314712311623249367747520, 0, 1001718608896260967056, 0, 1481231689886174144, 0, 1177339121895144, 0, 532464003900, 0, 136518209, 0, 18366, 0, 1], 1]], 'hecke_orbit_code': 68769808471, 'p': 41}
  • id: 266463
    {'charpoly_factorization': [[[305376704944160, 2191938931308, -1539792415444, -36737731765, 1272605854, 36471545, -307276, -10953, 18, 1], 2]], 'hecke_orbit_code': 68769808471, 'p': 43}
  • id: 266464
    {'charpoly_factorization': [[[564365589714576813708584244, 0, 17616813043170175251073137, 0, 165441587885569079567928, 0, 514838387980294542160, 0, 785910449780855568, 0, 676034066413038, 0, 342566944408, 0, 100743408, 0, 15756, 0, 1], 1]], 'hecke_orbit_code': 68769808471, 'p': 47}
  • id: 266465
    {'charpoly_factorization': [[[805912736146166913253376, 0, 96270088792503371402240, 0, 3602925176113757871680, 0, 45927099155493600112, 0, 242664798988210444, 0, 550944207349721, 0, 523491092684, 0, 171422334, 0, 22304, 0, 1], 1]], 'hecke_orbit_code': 68769808471, 'p': 53}
  • id: 266466
    {'charpoly_factorization': [[[34225996655758676710400, 0, 100662906418499671720704, 0, 25123227599911364887488, 0, 679202153088748753936, 0, 4995538527073112032, 0, 5114943898125048, 0, 2042324034916, 0, 375496665, 0, 31822, 0, 1], 1]], 'hecke_orbit_code': 68769808471, 'p': 59}
  • id: 266467
    {'charpoly_factorization': [[[6974164539392, -2681989326272, 321130901248, -9036288864, -541666208, 28370884, 1704, -11400, 4, 1], 2]], 'hecke_orbit_code': 68769808471, 'p': 61}
  • id: 266468
    {'charpoly_factorization': [[[-9311935154337280, 111656376304768, 14385522542048, -192889185008, -7165984816, 103191552, 1252974, -18587, -68, 1], 2]], 'hecke_orbit_code': 68769808471, 'p': 67}
  • id: 266469
    {'charpoly_factorization': [[[2368339073910786746639974400, 0, 50122846529790444289654784, 0, 401948157641472273809408, 0, 1532781960063348150272, 0, 2911324823146903552, 0, 2811335627408128, 0, 1358841291520, 0, 317685680, 0, 32312, 0, 1], 1]], 'hecke_orbit_code': 68769808471, 'p': 71}
  • id: 266470
    {'charpoly_factorization': [[[13976230489600, 1315880324864, -116928356352, -9140451072, 190569344, 13345472, -142880, -6400, 34, 1], 2]], 'hecke_orbit_code': 68769808471, 'p': 73}
  • id: 266471
    {'charpoly_factorization': [[[-1521681559725152, 186699184311248, 4835669196944, -777162346792, 6574090538, 274957741, -1341578, -31504, 48, 1], 2]], 'hecke_orbit_code': 68769808471, 'p': 79}
  • id: 266472
    {'charpoly_factorization': [[[32665068394681910083579780530176, 0, 365057008468519381390055178240, 0, 1233626020395734723741529088, 0, 1421170646046078994447104, 0, 749793763953987845056, 0, 203210207607215248, 0, 29013756527296, 0, 2121910088, 0, 74660, 0, 1], 1]], 'hecke_orbit_code': 68769808471, 'p': 83}
  • id: 266473
    {'charpoly_factorization': [[[6882679429562266794762084070400, 0, 62564266212476537260501519104, 0, 197409822855920041976038336, 0, 267768851156323820157072, 0, 170782726300106188032, 0, 56808553891152712, 0, 10364757731436, 0, 1031631993, 0, 51670, 0, 1], 1]], 'hecke_orbit_code': 68769808471, 'p': 89}
  • id: 266474
    {'charpoly_factorization': [[[-1788578684387840, 152796463844224, 2500192897632, -251382075568, -825608504, 131023908, -22624, -23124, 6, 1], 2]], 'hecke_orbit_code': 68769808471, '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': 2, 'hecke_orbit': 1, 'label': '87.3.b.a', 'level': 87, 'portrait': 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', 'weight': 3}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 4671379
    {'hecke_orbit_code': 68769808471, 'n': 1, 'trace_an': 18}
  • id: 4671380
    {'hecke_orbit_code': 68769808471, 'n': 2, 'trace_an': 0}
  • id: 4671381
    {'hecke_orbit_code': 68769808471, 'n': 3, 'trace_an': -2}
  • id: 4671382
    {'hecke_orbit_code': 68769808471, 'n': 4, 'trace_an': -36}
  • id: 4671383
    {'hecke_orbit_code': 68769808471, 'n': 5, 'trace_an': 0}
  • id: 4671384
    {'hecke_orbit_code': 68769808471, 'n': 6, 'trace_an': 8}
  • id: 4671385
    {'hecke_orbit_code': 68769808471, 'n': 7, 'trace_an': -12}
  • id: 4671386
    {'hecke_orbit_code': 68769808471, 'n': 8, 'trace_an': 0}
  • id: 4671387
    {'hecke_orbit_code': 68769808471, 'n': 9, 'trace_an': -22}
  • id: 4671388
    {'hecke_orbit_code': 68769808471, 'n': 10, 'trace_an': 12}
  • id: 4671389
    {'hecke_orbit_code': 68769808471, 'n': 11, 'trace_an': 0}
  • id: 4671390
    {'hecke_orbit_code': 68769808471, 'n': 12, 'trace_an': 18}
  • id: 4671391
    {'hecke_orbit_code': 68769808471, 'n': 13, 'trace_an': 32}
  • id: 4671392
    {'hecke_orbit_code': 68769808471, 'n': 14, 'trace_an': 0}
  • id: 4671393
    {'hecke_orbit_code': 68769808471, 'n': 15, 'trace_an': 30}
  • id: 4671394
    {'hecke_orbit_code': 68769808471, 'n': 16, 'trace_an': 76}
  • id: 4671395
    {'hecke_orbit_code': 68769808471, 'n': 17, 'trace_an': 0}
  • id: 4671396
    {'hecke_orbit_code': 68769808471, 'n': 18, 'trace_an': -50}
  • id: 4671397
    {'hecke_orbit_code': 68769808471, 'n': 19, 'trace_an': -24}
  • id: 4671398
    {'hecke_orbit_code': 68769808471, 'n': 20, 'trace_an': 0}
  • id: 4671399
    {'hecke_orbit_code': 68769808471, 'n': 21, 'trace_an': 32}
  • id: 4671400
    {'hecke_orbit_code': 68769808471, 'n': 22, 'trace_an': -94}
  • id: 4671401
    {'hecke_orbit_code': 68769808471, 'n': 23, 'trace_an': 0}
  • id: 4671402
    {'hecke_orbit_code': 68769808471, 'n': 24, 'trace_an': 38}
  • id: 4671403
    {'hecke_orbit_code': 68769808471, 'n': 25, 'trace_an': -114}
  • id: 4671404
    {'hecke_orbit_code': 68769808471, 'n': 26, 'trace_an': 0}
  • id: 4671405
    {'hecke_orbit_code': 68769808471, 'n': 27, 'trace_an': -68}
  • id: 4671406
    {'hecke_orbit_code': 68769808471, 'n': 28, 'trace_an': 94}
  • id: 4671407
    {'hecke_orbit_code': 68769808471, 'n': 29, 'trace_an': 0}
  • id: 4671408
    {'hecke_orbit_code': 68769808471, 'n': 30, 'trace_an': -88}
  • id: 4671409
    {'hecke_orbit_code': 68769808471, 'n': 31, 'trace_an': 24}
  • id: 4671410
    {'hecke_orbit_code': 68769808471, 'n': 32, 'trace_an': 0}
  • id: 4671411
    {'hecke_orbit_code': 68769808471, 'n': 33, 'trace_an': -20}
  • id: 4671412
    {'hecke_orbit_code': 68769808471, 'n': 34, 'trace_an': 70}
  • id: 4671413
    {'hecke_orbit_code': 68769808471, 'n': 35, 'trace_an': 0}
  • id: 4671414
    {'hecke_orbit_code': 68769808471, 'n': 36, 'trace_an': 168}
  • id: 4671415
    {'hecke_orbit_code': 68769808471, 'n': 37, 'trace_an': -40}
  • id: 4671416
    {'hecke_orbit_code': 68769808471, 'n': 38, 'trace_an': 0}
  • id: 4671417
    {'hecke_orbit_code': 68769808471, 'n': 39, 'trace_an': 38}
  • id: 4671418
    {'hecke_orbit_code': 68769808471, 'n': 40, 'trace_an': 160}
  • id: 4671419
    {'hecke_orbit_code': 68769808471, 'n': 41, 'trace_an': 0}
  • id: 4671420
    {'hecke_orbit_code': 68769808471, 'n': 42, 'trace_an': -118}
  • id: 4671421
    {'hecke_orbit_code': 68769808471, 'n': 43, 'trace_an': -36}
  • id: 4671422
    {'hecke_orbit_code': 68769808471, 'n': 44, 'trace_an': 0}
  • id: 4671423
    {'hecke_orbit_code': 68769808471, 'n': 45, 'trace_an': 32}
  • id: 4671424
    {'hecke_orbit_code': 68769808471, 'n': 46, 'trace_an': -228}
  • id: 4671425
    {'hecke_orbit_code': 68769808471, 'n': 47, 'trace_an': 0}
  • id: 4671426
    {'hecke_orbit_code': 68769808471, 'n': 48, 'trace_an': 94}
  • id: 4671427
    {'hecke_orbit_code': 68769808471, 'n': 49, 'trace_an': 190}
  • id: 4671428
    {'hecke_orbit_code': 68769808471, 'n': 50, 'trace_an': 0}
  • id: 4671429
    {'hecke_orbit_code': 68769808471, 'n': 51, 'trace_an': 204}
  • id: 4671430
    {'hecke_orbit_code': 68769808471, 'n': 52, 'trace_an': -386}
  • id: 4671431
    {'hecke_orbit_code': 68769808471, 'n': 53, 'trace_an': 0}
  • id: 4671432
    {'hecke_orbit_code': 68769808471, 'n': 54, 'trace_an': -32}
  • id: 4671433
    {'hecke_orbit_code': 68769808471, 'n': 55, 'trace_an': 188}
  • id: 4671434
    {'hecke_orbit_code': 68769808471, 'n': 56, 'trace_an': 0}
  • id: 4671435
    {'hecke_orbit_code': 68769808471, 'n': 57, 'trace_an': -140}
  • id: 4671436
    {'hecke_orbit_code': 68769808471, 'n': 58, 'trace_an': 0}
  • id: 4671437
    {'hecke_orbit_code': 68769808471, 'n': 59, 'trace_an': 0}
  • id: 4671438
    {'hecke_orbit_code': 68769808471, 'n': 60, 'trace_an': -354}
  • id: 4671439
    {'hecke_orbit_code': 68769808471, 'n': 61, 'trace_an': -8}
  • id: 4671440
    {'hecke_orbit_code': 68769808471, 'n': 62, 'trace_an': 0}
  • id: 4671441
    {'hecke_orbit_code': 68769808471, 'n': 63, 'trace_an': -340}
  • id: 4671442
    {'hecke_orbit_code': 68769808471, 'n': 64, 'trace_an': 86}
  • id: 4671443
    {'hecke_orbit_code': 68769808471, 'n': 65, 'trace_an': 0}
  • id: 4671444
    {'hecke_orbit_code': 68769808471, 'n': 66, 'trace_an': 178}
  • id: 4671445
    {'hecke_orbit_code': 68769808471, 'n': 67, 'trace_an': 136}
  • id: 4671446
    {'hecke_orbit_code': 68769808471, 'n': 68, 'trace_an': 0}
  • id: 4671447
    {'hecke_orbit_code': 68769808471, 'n': 69, 'trace_an': 4}
  • id: 4671448
    {'hecke_orbit_code': 68769808471, 'n': 70, 'trace_an': 252}
  • id: 4671449
    {'hecke_orbit_code': 68769808471, 'n': 71, 'trace_an': 0}
  • id: 4671450
    {'hecke_orbit_code': 68769808471, 'n': 72, 'trace_an': 358}
  • id: 4671451
    {'hecke_orbit_code': 68769808471, 'n': 73, 'trace_an': -68}
  • id: 4671452
    {'hecke_orbit_code': 68769808471, 'n': 74, 'trace_an': 0}
  • id: 4671453
    {'hecke_orbit_code': 68769808471, 'n': 75, 'trace_an': 244}
  • id: 4671454
    {'hecke_orbit_code': 68769808471, 'n': 76, 'trace_an': 120}
  • id: 4671455
    {'hecke_orbit_code': 68769808471, 'n': 77, 'trace_an': 0}
  • id: 4671456
    {'hecke_orbit_code': 68769808471, 'n': 78, 'trace_an': 66}
  • id: 4671457
    {'hecke_orbit_code': 68769808471, 'n': 79, 'trace_an': -96}
  • id: 4671458
    {'hecke_orbit_code': 68769808471, 'n': 80, 'trace_an': 0}
  • id: 4671459
    {'hecke_orbit_code': 68769808471, 'n': 81, 'trace_an': 366}
  • id: 4671460
    {'hecke_orbit_code': 68769808471, 'n': 82, 'trace_an': -548}
  • id: 4671461
    {'hecke_orbit_code': 68769808471, 'n': 83, 'trace_an': 0}
  • id: 4671462
    {'hecke_orbit_code': 68769808471, 'n': 84, 'trace_an': -664}
  • id: 4671463
    {'hecke_orbit_code': 68769808471, 'n': 85, 'trace_an': -320}
  • id: 4671464
    {'hecke_orbit_code': 68769808471, 'n': 86, 'trace_an': 0}
  • id: 4671465
    {'hecke_orbit_code': 68769808471, 'n': 87, 'trace_an': 0}
  • id: 4671466
    {'hecke_orbit_code': 68769808471, 'n': 88, 'trace_an': 504}
  • id: 4671467
    {'hecke_orbit_code': 68769808471, 'n': 89, 'trace_an': 0}
  • id: 4671468
    {'hecke_orbit_code': 68769808471, 'n': 90, 'trace_an': 562}
  • id: 4671469
    {'hecke_orbit_code': 68769808471, 'n': 91, 'trace_an': -156}
  • id: 4671470
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  • id: 4671471
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  • id: 4671472
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  • id: 4671473
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  • id: 4671474
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  • id: 4671475
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  • id: 4671476
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  • id: 4671477
    {'hecke_orbit_code': 68769808471, 'n': 99, 'trace_an': -198}
  • id: 4671478
    {'hecke_orbit_code': 68769808471, 'n': 100, 'trace_an': 392}
  • id: 4671479
    {'hecke_orbit_code': 68769808471, 'n': 101, 'trace_an': 0}
  • id: 4671480
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  • id: 4671481
    {'hecke_orbit_code': 68769808471, 'n': 107, 'trace_an': 0}
  • id: 4671482
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  • id: 4671483
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  • id: 4671484
    {'hecke_orbit_code': 68769808471, 'n': 121, 'trace_an': 782}
  • id: 4671485
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  • id: 4671486
    {'hecke_orbit_code': 68769808471, 'n': 127, 'trace_an': 508}
  • id: 4671487
    {'hecke_orbit_code': 68769808471, 'n': 128, 'trace_an': 0}
  • id: 4671488
    {'hecke_orbit_code': 68769808471, 'n': 131, 'trace_an': 0}
  • id: 4671489
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  • id: 4671490
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  • id: 4671491
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  • id: 4671492
    {'hecke_orbit_code': 68769808471, 'n': 151, 'trace_an': -360}
  • id: 4671493
    {'hecke_orbit_code': 68769808471, 'n': 157, 'trace_an': 872}
  • id: 4671494
    {'hecke_orbit_code': 68769808471, 'n': 163, 'trace_an': -516}
  • id: 4671495
    {'hecke_orbit_code': 68769808471, 'n': 167, 'trace_an': 0}
  • id: 4671496
    {'hecke_orbit_code': 68769808471, 'n': 169, 'trace_an': 546}
  • id: 4671497
    {'hecke_orbit_code': 68769808471, 'n': 173, 'trace_an': 0}
  • id: 4671498
    {'hecke_orbit_code': 68769808471, 'n': 179, 'trace_an': 0}
  • id: 4671499
    {'hecke_orbit_code': 68769808471, 'n': 181, 'trace_an': -880}
  • id: 4671500
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  • id: 4671501
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  • id: 4671502
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  • id: 4671503
    {'hecke_orbit_code': 68769808471, 'n': 199, 'trace_an': -280}
  • id: 4671504
    {'hecke_orbit_code': 68769808471, 'n': 211, 'trace_an': -1244}
  • id: 4671505
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  • id: 4671506
    {'hecke_orbit_code': 68769808471, 'n': 227, 'trace_an': 0}
  • id: 4671507
    {'hecke_orbit_code': 68769808471, 'n': 229, 'trace_an': 336}
  • id: 4671508
    {'hecke_orbit_code': 68769808471, 'n': 233, 'trace_an': 0}
  • id: 4671509
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  • id: 4671510
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  • id: 4671511
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  • id: 4671512
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  • id: 4671513
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  • id: 4671514
    {'hecke_orbit_code': 68769808471, 'n': 257, 'trace_an': 0}
  • id: 4671515
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  • id: 4671516
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  • id: 4671517
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  • id: 4671518
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  • id: 4671519
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  • id: 4671520
    {'hecke_orbit_code': 68769808471, 'n': 283, 'trace_an': -452}
  • id: 4671521
    {'hecke_orbit_code': 68769808471, 'n': 289, 'trace_an': 1106}
  • id: 4671522
    {'hecke_orbit_code': 68769808471, 'n': 293, 'trace_an': 0}
  • id: 4671523
    {'hecke_orbit_code': 68769808471, 'n': 307, 'trace_an': -1476}
  • id: 4671524
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  • id: 4671525
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  • id: 4671526
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  • id: 4671527
    {'hecke_orbit_code': 68769808471, 'n': 331, 'trace_an': 196}
  • id: 4671528
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  • id: 4671529
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  • id: 4671530
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  • id: 4671531
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  • id: 4671532
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  • id: 4671533
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  • id: 4671534
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  • id: 4671535
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  • id: 4671536
    {'hecke_orbit_code': 68769808471, 'n': 373, 'trace_an': -1844}
  • id: 4671537
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  • id: 4671538
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  • id: 4671539
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  • id: 4671540
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  • id: 4671541
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  • id: 4671542
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  • id: 4671543
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  • id: 4671544
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  • id: 4671545
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  • id: 4671546
    {'hecke_orbit_code': 68769808471, 'n': 433, 'trace_an': 2452}
  • id: 4671547
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  • id: 4671548
    {'hecke_orbit_code': 68769808471, 'n': 443, 'trace_an': 0}
  • id: 4671549
    {'hecke_orbit_code': 68769808471, 'n': 449, 'trace_an': 0}
  • id: 4671550
    {'hecke_orbit_code': 68769808471, 'n': 457, 'trace_an': 140}
  • id: 4671551
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  • id: 4671552
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  • id: 4671553
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  • id: 4671554
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  • id: 4671555
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  • id: 4671556
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  • id: 4671557
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  • id: 4671558
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  • id: 4671559
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  • id: 4671560
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  • id: 4671561
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  • id: 4671562
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  • id: 4671563
    {'hecke_orbit_code': 68769808471, 'n': 529, 'trace_an': -1006}
  • id: 4671564
    {'hecke_orbit_code': 68769808471, 'n': 541, 'trace_an': -1248}
  • id: 4671565
    {'hecke_orbit_code': 68769808471, 'n': 547, 'trace_an': -3608}
  • id: 4671566
    {'hecke_orbit_code': 68769808471, 'n': 557, 'trace_an': 0}
  • id: 4671567
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  • id: 4671568
    {'hecke_orbit_code': 68769808471, 'n': 569, 'trace_an': 0}
  • id: 4671569
    {'hecke_orbit_code': 68769808471, 'n': 571, 'trace_an': -5292}
  • id: 4671570
    {'hecke_orbit_code': 68769808471, 'n': 577, 'trace_an': -484}
  • id: 4671571
    {'hecke_orbit_code': 68769808471, 'n': 587, 'trace_an': 0}
  • id: 4671572
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  • id: 4671573
    {'hecke_orbit_code': 68769808471, 'n': 599, 'trace_an': 0}
  • id: 4671574
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  • id: 4671575
    {'hecke_orbit_code': 68769808471, 'n': 607, 'trace_an': 4712}
  • id: 4671576
    {'hecke_orbit_code': 68769808471, 'n': 613, 'trace_an': -4192}
  • id: 4671577
    {'hecke_orbit_code': 68769808471, 'n': 617, 'trace_an': 0}
  • id: 4671578
    {'hecke_orbit_code': 68769808471, 'n': 619, 'trace_an': 2284}
  • id: 4671579
    {'hecke_orbit_code': 68769808471, 'n': 625, 'trace_an': -2494}
  • id: 4671580
    {'hecke_orbit_code': 68769808471, 'n': 631, 'trace_an': -1340}
  • id: 4671581
    {'hecke_orbit_code': 68769808471, 'n': 641, 'trace_an': 0}
  • id: 4671582
    {'hecke_orbit_code': 68769808471, 'n': 643, 'trace_an': 4176}
  • id: 4671583
    {'hecke_orbit_code': 68769808471, 'n': 647, 'trace_an': 0}
  • id: 4671584
    {'hecke_orbit_code': 68769808471, 'n': 653, 'trace_an': 0}
  • id: 4671585
    {'hecke_orbit_code': 68769808471, 'n': 659, 'trace_an': 0}
  • id: 4671586
    {'hecke_orbit_code': 68769808471, 'n': 661, 'trace_an': -1928}
  • id: 4671587
    {'hecke_orbit_code': 68769808471, 'n': 673, 'trace_an': 5308}
  • id: 4671588
    {'hecke_orbit_code': 68769808471, 'n': 677, 'trace_an': 0}
  • id: 4671589
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  • id: 4671590
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  • id: 4671591
    {'hecke_orbit_code': 68769808471, 'n': 701, 'trace_an': 0}
  • id: 4671592
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  • id: 4671593
    {'hecke_orbit_code': 68769808471, 'n': 719, 'trace_an': 0}
  • id: 4671594
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  • id: 4671595
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  • id: 4671596
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  • id: 4671597
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  • id: 4671598
    {'hecke_orbit_code': 68769808471, 'n': 743, 'trace_an': 0}
  • id: 4671599
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  • id: 4671600
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  • id: 4671601
    {'hecke_orbit_code': 68769808471, 'n': 761, 'trace_an': 0}
  • id: 4671602
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  • id: 4671603
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  • id: 4671604
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  • id: 4671605
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  • id: 4671606
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  • id: 4671607
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  • id: 4671608
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  • id: 4671609
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  • id: 4671610
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  • id: 4671611
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  • id: 4671612
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  • id: 4671613
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  • id: 4671614
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  • id: 4671615
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  • id: 4671616
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  • id: 4671617
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  • id: 4671618
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  • id: 4671619
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  • id: 4671620
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  • id: 4671621
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  • id: 4671622
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  • id: 4671623
    {'hecke_orbit_code': 68769808471, 'n': 911, 'trace_an': 0}
  • id: 4671624
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  • id: 4671625
    {'hecke_orbit_code': 68769808471, 'n': 929, 'trace_an': 0}
  • id: 4671626
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  • id: 4671627
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  • id: 4671628
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  • id: 4671629
    {'hecke_orbit_code': 68769808471, 'n': 953, 'trace_an': 0}
  • id: 4671630
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  • id: 4671631
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  • id: 4671632
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  • id: 4671633
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  • id: 4671634
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  • id: 4671635
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  • id: 4671636
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