Embedded newform data - 54.3.f.a.29.6

Formats: - HTML - YAML - JSON - 2025-03-10T21:19:59.916840

• 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': 486, 'analytic_conductor': 1.4713934275456033, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 27, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 18, 'char_parity': -1, 'char_values': [54, 18, [29], [5]], 'cm_discs': [], 'conrey_index': 5, 'dim': 36, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 343647715382, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 27, 6, -1, 18, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '54.3.f.a', 'level': 54, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '54.3.f.a', 'prim_orbit_index': 6, 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '2.2.3.c18', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '54.3.f', 'trace_display': [0, 0, 18, 0], 'traces': [36, 0, 0, 0, 18, 12, 0, 0, -12, 0, -18, -12, 0, -36, -18, 0, 0, -48, 0, -72, -228, 36, -180, 0, 18, 0, 54, 0, 144, 144, -90, 0, 324, -72, 486, 168, 0, 180, 102, 0, -90, 48, 90, 0, -378, 0, -378, -24, 72, 0, -54, 0, 0, -36, 0, -72, 72, 0, 252, 36, -144, 0, 318, 144, 18, -432, -594, -180, -522, -360, -648, -192, 126, -504, -438, -72, -342, -288, -72, 0, 324, 0, 594, 216, 360, 540, 1062, 144, 648, 720, -198, 396, 462, 504, 252, 96, 702, 648, 126, -180, 18, 144, 72, 144, -144, 0, 0, -180, 0, -108, 360, 0, -108, -768, 198, -648, -1068, 0, -990, -72, 342, -864, -630, 180, -1134, -996, 0, 0, -858, 144, -738, -252, 54, 0, -108, 0, -180, 576, -666, 576, -486, -288, 162, 24, 0, 1080, 936, -252, 1278, 1464, -1332, 0, 1530, 0, 1368, 708, -702, 684, 666, 0, 0, 144, -108, -180, -1278, 396, -864, -768, 1260, -1944, -888, 0, -1080, -1548, 1710, -360, -576, 360, -162, -468, 0, -648, 1014, 72, 1656, -72, 522, 0, -270, 0, 666, 0, -72, 360, 774, -144, 0, 1512, 0, 864, 1794, -504, 1656, 792, -738, 1944, 2412, 0, 2610, 2016, -828, 504, 1260, -972, 0, 504, -900, -1512, -1638, -792, -1818, -1488, -2052, 0, -2442, -432, -1512, -1284, -1656, -2268, -1782, 0, -648, -960, -378, -792, 510, -432, -1296, 144, 162, 0, -2070, 72, -1782, -108, 1332, -216, -1692, 864, -324, 876, 594, 1296, -288, 0, 1134, 2496, 2376, 1620, 792, 540, 1530, -288, 3258, 432, -1080, 1188, 0, -540, 1044, -360, -360, 1368, -2520, -468, 594, -1620, -1464, 0, -1638, -1656, -54, -504, 558, 540, 1296, -192, 306, -864, 330, 36, 2088, -180, -1854, 0, 3294, 0, 1764, 360, -1818, 1512, 1980, -72, 1944, 1296, 288, 612, 1902, -756, 2988, 1128, -1098, 1944, 3672, 0, 234, 396, -414, 288, 1584, 72, 0, -1368, 0, 252, -2358, -288, -2268, -1584, 972, -1944, -2112, 0, -1926, 120, 1422, -2016, -2466, 360, -1782, -1608, -360, 216, -3798, 216, -3078, -252, 2016, 0, -306, 0, -2664, 1224, 1980, 900, -108, -432, 972, -432, -342, 1872, -462, -504, -288, 1200, -2322, -648, -2196, 0, -1440, 1032, -4302, 540, -18, -1008, 0, -1152, 2700, 504, 1854, -3528, -846, -96, -5256, 0, 1146, 0, 126, -2700, -2628, -1440, 1926, -1440, 2106, -288, 0, -1548, 102, -144, 882, -144, -1584, 0, 2772, -216, 3690, 792, -54, 1728, 4050, 288, 5670, 2052, 0, 288, 5016, 2376, 1620, -1008, 3960, 1620, 36, 0, -522, -360, 5814, -1440, 1890, 4320, 0, 1152, -3132, 504, -648, 1944, 2664, 744, 5148, 1944, 882, 0, 810, -1536, 954, -432, -5040, 0, -6480, -1776, -918, -648, -1812, 252, -4788, 288, -3186, 0, -3420, 0, 414, 576, -2736, 72, 1224, -504, -2106, 1704, -864, 1080, -1554, 360, -3798, -168, -792, 648, -2646, 0, -1242, -1008, -414, -792, -4464, -684, 0, 1512, 216, -1728, 846, -144, 3492, 1512, 684, 648, 2484, 0, 4086, 144, 1944, 792, 198, 144, -5022, -888, 1080, -1080, -594, 144, 2556, -972, 3906, 0, 936, 0, 3582, -396, 3402, 396, 3492, -288, 324, -72, 1800, -2016, 2532, -3636, 666, 936, -3276, -3240, -4608, 612, -414, -1224, -7434, 1728, -3996, -4896, 0, -684, 0, -108, 5328, -288, 3006, 480, -4644, -972, -474, 864, -5328, 2304, -3618, 1296, -3042, -1476, -2916, 1668, 882, 72, -4284, -576, 1026, -540, 1296, 0, -1620, 0, -2736, 1800, 1494, 360, -2682, 1980, -162, 96, -1386, 432, -4362, 2232, -2916, -2580, 4986, -2592, -648, -1080, -2304, 1260, 5832, 108, 5274, 504, 0, -1080, 0, 2556, 3744, 4644, 5976, -2112, 6606, -648, 2244, -684, 4572, 3600, 5058, -288, 4356, 3888, 10206, 972, -846, 1404, 6696, 144, -738, -864, -1548, 0, 5922, 0, 3924, -288, -3456, -2520, -108, 540, 162, -3456, 0, 1152, -3606, 1152, 2682, -2340, -1116, -5508, 1728, 0, 360, 432, 270, -2088, -4500, 360, 0, 2592, -108, 1368, -4662, 612, -1476, 2616, 1530, 1944, -24, 0, -2844, 900, 2124, 3276, 1458, -792, -1782, 1704, 0, 0, -3864, -540, -8226, -288, 3528, 0, -6102, -936, -2574, -1620, -2664, -2160, -5922, -4032, -4536, -1536, -2322, -3528, -4308, -720, -3582, -3240, -5958, 3240, 1152, -1836, -5436, -3672, -6174, 504, 144, -3420, 0, 2088, -6300, -720, -270, -5184, 558, 3240, -6318, 648, 4116, -432, 6246, 6552, -7254, 3636, 3744, -3816, 4212, -144, -756, 4176, 6432, -1044, 8982, 3168, -1458, 0, 2142, 432, 684, -3132, 2430, -1296, -774, 288, -972, -4608, 1188, -4680, 3642, 4176, -2808, 1488, 6030, 648, -270, 540, 3366, -108, 5346, 1512, 2412, 5760, 0, -2700, 7308, -3312, 54, 2304, -5130, -480, 2376, 2268, -1476, 2052, 2088, 96, 828, 5616, 2520, 1332, 2106, 5088, 4374, 2016, -1446, 3960, 2952, 2088, -72, 0, -5400, 1008, -10188, -4680, -3492, -1800, -6336, 1764, -11502, -2808, 1728, -4320, -2736, -36, -5778, -2928, -1944, 0, -5688, 0, 5148, 528, -1170, -900, 7272, 1008, 0, 2016, 0, 3312, 3204, -720, 846, -1656, 360, 5832, 5082, 0, 3150, 2016, 0, -432, 9972, -1296, 10854, 5796, -2160, 4752, 13020, 0, 14688, -1224, -1998, 0, 1242, 2808, 1998, 576, -1008, -7056, 4950, -3312, 5022, -4032, -2052, 144, -4056, -6552, 990, -4500, -1854, -4860, 5400, 0, 1620, -3168, -1314, -4068, 3510, -6912, 0, 144, 5400, 2808, -7740, -3528, -7038, 2700, -5346, 2592, -5280, 0, 738, -708, -4536, 2700, 1260, -792, 3240, 3168, 0, 1656, -972, -2304, -11322, -504, 1368, 0, -5886, -216, -13338, -5832, 6768, -576, -13068, 4608, -15066, -264, 0, -7992, -17472, 1440, -6606, -5640, 10368, -2916, -5310, 0, -6156, -1776, 7614, -2376, -9666, 3312, 0, -1836, -8136, -4536, -4752, 8136, -4842, 3276, 6372, 2916, 4368, 0, 2592, 3384, 3798, 5796, 8982, 6804, 8910, -1248, -918, 4608, 7944, 4860, 1980, 5364, 3492, 0, 972, -3024, 4806, 468, 4662, -5688, -5112, -432, 8910, -7200, -864, -2268, 1836, 1116, -1314, 720, -2574, 0, 6660, 0, -1926, -3168, -2124, 3888, 3132, -288, 0, 252, 72, 3528, 7164, -576, 1656, 7008, 900, -1944, -4380, 0, 4284, 4824, 1332, 6912, 2952, -1044, 6966, 5508, 2178, 2160, -2460, -7344, -1638, -864, -7596, 0, 6696, 0], '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], [0.696364240320019, 0.12278780396897285], [0.9653101658657504, 0.26110588594713374], [0.4698463103929542, 0.17101007166283436], [-0.7115588286768358, -0.8480027904177471], [0.6401468619874731, 0.3003531173262417], [-1.4660778261316891, 0.5336086898296356], [0.30618621784789724, 0.1767766952966369], [0.8636474326475247, 0.5040963321443027], [-0.391379722779591, -0.6778895649064739], [0.24040586016636284, -0.2865045475339642], [0.40889568354942624, 0.2877573977757088], [-0.07335546751879689, -0.41601952930891023], [-1.0864448108471603, 0.1915695332030591], [-0.46545645105560796, -1.0043779126379444], [0.1915111107797445, 0.16069690242163484], [0.24159318882049327, -0.13948389259989188], [0.5395163067271154, 0.4570800310400063], [-0.9034992390698797, 1.5649065866688512], [-0.1893062723217211, -0.5201147085650563], [-1.5545481992223358, 0.13229634322728862], [0.2025893084020496, -0.16999261396062007], [0.5490977242247889, -1.5086335983815287], [0.24940723309632556, 0.2505913647339731], [-0.03914458822140447, 0.2219999915164727], [0.0, -0.2987082802512415], [0.7020651270512728, 0.7121127420419328], [-0.7800837176445743, 0.0], [-0.17877537169253413, -0.03152292151557812], [-0.20080186969363645, -0.7565652375966384], [1.1265635626326598, 0.41003560380717674], [0.11362986941801093, 0.13541880510492546], [0.3068742444640285, -0.2137943671956818], [0.18536377826085848, -0.06746689779807305], [1.4957022786780356, 0.8635441132223005], [0.31957600982481776, 0.3845402110890979], [-0.32967902515353015, -0.5710208217556921], [-0.8213160044382612, 0.97880629894442], [0.0378143692537831, -0.42074142517613716], [-0.06796237563646436, -0.3854337853651099], [-0.5516813344933367, 0.09727630402442679], [-1.0987761532503195, -0.0987531169978446], [0.9114295689680934, 0.7647802151651945], [0.1619489696015212, -0.09350128119442079], [-0.18706085926670898, -1.0910696284631134], [0.5676138261303236, -0.9831359859362873], [0.6030548074618848, 1.6568794661950832], [0.1429087150361682, 0.20512703177960548], [1.0986015152943411, -0.9218361262942827], [-0.05451778287887657, 0.1497863774184432], [0.2696324265249955, -0.07156381589543406], [0.036677733759398444, -0.20800976465445511], [0.0, -0.3074089989480465], [0.40145428908058456, 0.5820948838280599], [-0.4140195680432, 0.0], [-0.5432224054235801, -0.09578476660152956], [-1.2807633210628002, 1.2747112674718117], [-0.12062214558901642, -0.043902870587726274], [-0.7738274268132178, -0.9222116159525854], [-0.046934257360293184, -0.5515009975440631], [-1.2158608151872885, 0.44253714573881314], [0.7341512081243312, 0.4238623976364716], [-1.5351645339435438, -0.2781946797813032], [0.0625, 0.10825317547305482], [-0.30058899117751675, 0.3582280101300749], [0.23994759096886695, -0.11119833752454435], [-0.18083916632555344, -1.0255898762569344], [0.13736481885269566, -0.024221123763861055], [0.9239627275229584, -1.3129267013290487], [0.9355208957436512, 0.7849952385771364], [-0.9282707933623825, 0.535937392428639], [0.17532445724876652, 0.3070200884151157], [0.34940191468128856, -0.6051818684898378], [-0.15946229117654273, -0.43811904426204923], [-0.09575217341391523, 0.20407796624537586], [-0.6921205714517064, 0.5807581162353351], [-0.19957238462218888, 0.5483206202961769], [0.07799449015474513, -0.288346139554799], [0.06979558391698236, -0.39583042615798425], [0.0, -0.27674725599635985], [0.49177377583732157, 0.870723006126922], [-0.39611549714256417, 0.0], [0.3463216453889975, 0.06106585008542961], [-0.7530227428686551, -0.20368445020852033], [-0.29019049659644947, -0.1056207030280353], [0.5407812762606159, 0.6444780287912709], [-0.1643428633512643, -0.077108698408083], [0.1242562881733215, -0.04522559031549258], [-0.7785140946142656, -0.44947532209346397], [0.003707550499357032, -0.7827506650788696], [0.32953646033290074, 0.57077389224299], [0.5159830795443698, -0.6149246887648268], [0.9804205499013027, 0.6899639138189289], [0.2165012117741524, 1.2278393862599541], [1.9699380125012738, -0.34735322192718393], [0.07432942101437987, 0.16039057694162417], [0.37499095831531665, 0.314654774817197], [0.8782170431793053, -0.5070388462864891], [0.3520517954806335, -0.12625120458368924], [-0.056356174806059, 0.0976117580843273], [-0.15451409776234887, -0.42452399458945744], [0.19654954366016206, -0.01672690875859601], [-0.10600733171391058, 0.08895071294322994], [0.05108212441204682, -0.14034698335987036], [1.2183401639791345, 1.2241245797543865], [0.03774607590113092, -0.21406863401999393], [0.0, -0.9858626729485072], [0.20808425855199272, 0.4546437521212267], [0.5277618011717314, 0.0], [-0.28830842197802536, -0.050836553560207255], [-0.16914561689463273, -0.6372933381026841], [-0.3665194565329223, -0.1334021724574089], [-0.6798033426824499, -0.8101580758993625], [-1.0483967743290112, 0.7304012278030669], [-1.6700408346240099, 0.607845153812225], [-0.07860621171146523, -0.04538331749159116], [0.14636065763175307, -0.396272420537828], 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-0.5812780143287751], [0.17517505646293074, -0.6356624403706238], [-0.3031530664895368, 0.0]], 'angles': [None, None, -0.20446411941820128, -0.4479673365266424, -0.358950253901042, -0.4939061726729901, -0.3110611598715876, 0.2628386339723857, -0.2961352142259787, -0.23668809045091432, -0.0921410417236427, -0.13680359663662622, -0.32296092120564657, -0.037486018586571364, 0.11621345778800848, -0.47543980776845035, -0.2139119790935786, -0.41753260882341503, -0.44061223487342194, -0.42335418170515454, -0.359859061346223, -0.4400177982536221, -0.19409142986259786, -0.24086118373184692, -0.09953463699736463, -0.09181915376098086, -0.3721320656093301, -0.4179626872415456, -0.2074987046220112, -0.19978874339728792, 0.17453259086161743, -0.4837736363742072, -0.17729050759106868, -0.2570004902748286, -0.32398666053343245, -0.1682936457204604, -0.36970744665956734, -0.12482351238353231, -0.031421540246945566, -0.2040663111300117, -0.353166998304375, -0.39990352294178405, -0.13231768951213083, 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-0.4824949965582027, -0.11339964898501952, -0.05981898347674962, -0.31369476818970904, 0.11860582890030957, -0.3591702640090534, -0.48436714174991347, -0.054215498622050884, -0.40499852062921965, -0.42969803608138585, -0.15551610544333522, -0.07433381982004224, 0.019558187826374997, -0.44494646255153664, -0.44945397805639986, -0.350797601522996, -0.29121329847232946, -0.45772099142752376, -0.49329558860752637, -0.005038706528739089, -0.35830237622322153, -0.37846588401645964, 0.28398748785665656, -0.3702999487643859, -0.3351407230903537, -0.03644017841574056, -0.14103334287264818, -0.39803917539969225, 0.037695449852335056, 0.0524552052953117, -0.3704754145937193, -0.4042953986913298, 0.11690685124118104], 'char_orbit_index': 6, 'conrey_index': 29, 'dual_conrey_index': 41, 'dual_embedding_index': 6, 'dual_embedding_m': 30, 'embedding_index': 6, 'embedding_m': 24, 'hecke_orbit': 1, 'hecke_orbit_code': 343647715382, 'label': '54.3.f.a.29.6', 'level': 54, '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': 486, 'analytic_conductor': 1.4713934275456033, 'char_conductor': 27, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 18, 'char_parity': -1, 'char_values': [54, 18, [29], [5]], 'conrey_index': 5, 'cusp_dim': 96, 'dim': 36, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 343647715382, 'hecke_orbit_dims': [36], 'label': '54.3.f', 'level': 54, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 120, 'mf_new_dim': 36, 'num_forms': 1, 'prim_orbit_index': 6, 'relative_dim': 6, 'sturm_bound': 27, 'trace_bound': 0, 'trace_display': [0, 0, 18, 0], 'traces': [36, 0, 0, 0, 18, 12, 0, 0, -12, 0, -18, -12, 0, -36, -18, 0, 0, -48, 0, -72, -228, 36, -180, 0, 18, 0, 54, 0, 144, 144, -90, 0, 324, -72, 486, 168, 0, 180, 102, 0, -90, 48, 90, 0, -378, 0, -378, -24, 72, 0, -54, 0, 0, -36, 0, -72, 72, 0, 252, 36, -144, 0, 318, 144, 18, -432, -594, -180, -522, -360, -648, -192, 126, -504, -438, -72, -342, -288, -72, 0, 324, 0, 594, 216, 360, 540, 1062, 144, 648, 720, -198, 396, 462, 504, 252, 96, 702, 648, 126, -180, 18, 144, 72, 144, -144, 0, 0, -180, 0, -108, 360, 0, -108, -768, 198, -648, -1068, 0, -990, -72, 342, -864, -630, 180, -1134, -996, 0, 0, -858, 144, -738, -252, 54, 0, -108, 0, -180, 576, -666, 576, -486, -288, 162, 24, 0, 1080, 936, -252, 1278, 1464, -1332, 0, 1530, 0, 1368, 708, -702, 684, 666, 0, 0, 144, -108, -180, -1278, 396, -864, -768, 1260, -1944, -888, 0, -1080, -1548, 1710, -360, -576, 360, -162, -468, 0, -648, 1014, 72, 1656, -72, 522, 0, -270, 0, 666, 0, -72, 360, 774, -144, 0, 1512, 0, 864, 1794, -504, 1656, 792, -738, 1944, 2412, 0, 2610, 2016, -828, 504, 1260, -972, 0, 504, -900, -1512, -1638, -792, -1818, -1488, -2052, 0, -2442, -432, -1512, -1284, -1656, -2268, -1782, 0, -648, -960, -378, -792, 510, -432, -1296, 144, 162, 0, -2070, 72, -1782, -108, 1332, -216, -1692, 864, -324, 876, 594, 1296, -288, 0, 1134, 2496, 2376, 1620, 792, 540, 1530, -288, 3258, 432, -1080, 1188, 0, -540, 1044, -360, -360, 1368, -2520, -468, 594, -1620, -1464, 0, -1638, -1656, -54, -504, 558, 540, 1296, -192, 306, -864, 330, 36, 2088, -180, -1854, 0, 3294, 0, 1764, 360, -1818, 1512, 1980, -72, 1944, 1296, 288, 612, 1902, -756, 2988, 1128, -1098, 1944, 3672, 0, 234, 396, -414, 288, 1584, 72, 0, -1368, 0, 252, -2358, -288, -2268, -1584, 972, -1944, -2112, 0, -1926, 120, 1422, -2016, -2466, 360, -1782, -1608, -360, 216, -3798, 216, -3078, -252, 2016, 0, -306, 0, -2664, 1224, 1980, 900, -108, -432, 972, -432, -342, 1872, -462, -504, -288, 1200, -2322, -648, -2196, 0, -1440, 1032, -4302, 540, -18, -1008, 0, -1152, 2700, 504, 1854, -3528, -846, -96, -5256, 0, 1146, 0, 126, -2700, -2628, -1440, 1926, -1440, 2106, -288, 0, -1548, 102, -144, 882, -144, -1584, 0, 2772, -216, 3690, 792, -54, 1728, 4050, 288, 5670, 2052, 0, 288, 5016, 2376, 1620, -1008, 3960, 1620, 36, 0, -522, -360, 5814, -1440, 1890, 4320, 0, 1152, -3132, 504, -648, 1944, 2664, 744, 5148, 1944, 882, 0, 810, -1536, 954, -432, -5040, 0, -6480, -1776, -918, -648, -1812, 252, -4788, 288, -3186, 0, -3420, 0, 414, 576, -2736, 72, 1224, -504, -2106, 1704, -864, 1080, -1554, 360, -3798, -168, -792, 648, -2646, 0, -1242, -1008, -414, -792, -4464, -684, 0, 1512, 216, -1728, 846, -144, 3492, 1512, 684, 648, 2484, 0, 4086, 144, 1944, 792, 198, 144, -5022, -888, 1080, -1080, -594, 144, 2556, -972, 3906, 0, 936, 0, 3582, -396, 3402, 396, 3492, -288, 324, -72, 1800, -2016, 2532, -3636, 666, 936, -3276, -3240, -4608, 612, -414, -1224, -7434, 1728, -3996, -4896, 0, -684, 0, -108, 5328, -288, 3006, 480, -4644, -972, -474, 864, -5328, 2304, -3618, 1296, -3042, -1476, -2916, 1668, 882, 72, -4284, -576, 1026, -540, 1296, 0, -1620, 0, -2736, 1800, 1494, 360, -2682, 1980, -162, 96, -1386, 432, -4362, 2232, -2916, -2580, 4986, -2592, -648, -1080, -2304, 1260, 5832, 108, 5274, 504, 0, -1080, 0, 2556, 3744, 4644, 5976, -2112, 6606, -648, 2244, -684, 4572, 3600, 5058, -288, 4356, 3888, 10206, 972, -846, 1404, 6696, 144, -738, -864, -1548, 0, 5922, 0, 3924, -288, -3456, -2520, -108, 540, 162, -3456, 0, 1152, -3606, 1152, 2682, -2340, -1116, -5508, 1728, 0, 360, 432, 270, -2088, -4500, 360, 0, 2592, -108, 1368, -4662, 612, -1476, 2616, 1530, 1944, -24, 0, -2844, 900, 2124, 3276, 1458, -792, -1782, 1704, 0, 0, -3864, -540, -8226, -288, 3528, 0, -6102, -936, -2574, -1620, -2664, -2160, -5922, -4032, -4536, -1536, -2322, -3528, -4308, -720, -3582, -3240, -5958, 3240, 1152, -1836, -5436, -3672, -6174, 504, 144, -3420, 0, 2088, -6300, -720, -270, -5184, 558, 3240, -6318, 648, 4116, -432, 6246, 6552, -7254, 3636, 3744, -3816, 4212, -144, -756, 4176, 6432, -1044, 8982, 3168, -1458, 0, 2142, 432, 684, -3132, 2430, -1296, -774, 288, -972, -4608, 1188, -4680, 3642, 4176, -2808, 1488, 6030, 648, -270, 540, 3366, -108, 5346, 1512, 2412, 5760, 0, -2700, 7308, -3312, 54, 2304, -5130, -480, 2376, 2268, -1476, 2052, 2088, 96, 828, 5616, 2520, 1332, 2106, 5088, 4374, 2016, -1446, 3960, 2952, 2088, -72, 0, -5400, 1008, -10188, -4680, -3492, -1800, -6336, 1764, -11502, -2808, 1728, -4320, -2736, -36, -5778, -2928, -1944, 0, -5688, 0, 5148, 528, -1170, -900, 7272, 1008, 0, 2016, 0, 3312, 3204, -720, 846, -1656, 360, 5832, 5082, 0, 3150, 2016, 0, -432, 9972, -1296, 10854, 5796, -2160, 4752, 13020, 0, 14688, -1224, -1998, 0, 1242, 2808, 1998, 576, -1008, -7056, 4950, -3312, 5022, -4032, -2052, 144, -4056, -6552, 990, -4500, -1854, -4860, 5400, 0, 1620, -3168, -1314, -4068, 3510, -6912, 0, 144, 5400, 2808, -7740, -3528, -7038, 2700, -5346, 2592, -5280, 0, 738, -708, -4536, 2700, 1260, -792, 3240, 3168, 0, 1656, -972, -2304, -11322, -504, 1368, 0, -5886, -216, -13338, -5832, 6768, -576, -13068, 4608, -15066, -264, 0, -7992, -17472, 1440, -6606, -5640, 10368, -2916, -5310, 0, -6156, -1776, 7614, -2376, -9666, 3312, 0, -1836, -8136, -4536, -4752, 8136, -4842, 3276, 6372, 2916, 4368, 0, 2592, 3384, 3798, 5796, 8982, 6804, 8910, -1248, -918, 4608, 7944, 4860, 1980, 5364, 3492, 0, 972, -3024, 4806, 468, 4662, -5688, -5112, -432, 8910, -7200, -864, -2268, 1836, 1116, -1314, 720, -2574, 0, 6660, 0, -1926, -3168, -2124, 3888, 3132, -288, 0, 252, 72, 3528, 7164, -576, 1656, 7008, 900, -1944, -4380, 0, 4284, 4824, 1332, 6912, 2952, -1044, 6966, 5508, 2178, 2160, -2460, -7344, -1638, -864, -7596, 0, 6696, 0], '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: 3411523
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 29, 'source_dim': 36, 'source_embedding_index': 6, 'source_hecke_orbit_code': 343647715382, 'source_is_minimal': True, 'source_label': '54.3.f.a.29.6', 'source_level': 54, 'target_conrey_index': 29, 'target_dim': 36, 'target_embedding_index': 6, 'target_hecke_orbit_code': 343647715382, 'target_is_minimal': True, 'target_label': '54.3.f.a.29.6', 'target_level': 54, 'twist_class_label': '54.3.f.a.29.6', 'twist_class_level': 54, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
  • id: 3411524
    {'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 29, 'source_dim': 36, 'source_embedding_index': 6, 'source_hecke_orbit_code': 343647715382, 'source_is_minimal': True, 'source_label': '54.3.f.a.29.6', 'source_level': 54, 'target_conrey_index': 89, 'target_dim': 36, 'target_embedding_index': 3, 'target_hecke_orbit_code': 343647715490, 'target_is_minimal': False, 'target_label': '162.3.f.a.89.3', 'target_level': 162, 'twist_class_label': '54.3.f.a.29.6', 'twist_class_level': 54, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
  • id: 3411525
    {'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 29, 'source_dim': 36, 'source_embedding_index': 6, 'source_hecke_orbit_code': 343647715382, 'source_is_minimal': True, 'source_label': '54.3.f.a.29.6', 'source_level': 54, 'target_conrey_index': 353, 'target_dim': 36, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009123450421680, 'target_is_minimal': False, 'target_label': '432.3.bc.c.353.1', 'target_level': 432, 'twist_class_label': '54.3.f.a.29.6', 'twist_class_level': 54, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 3}
  • id: 3411526
    {'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 29, 'source_dim': 36, 'source_embedding_index': 6, 'source_hecke_orbit_code': 343647715382, 'source_is_minimal': True, 'source_label': '54.3.f.a.29.6', 'source_level': 54, 'target_conrey_index': 1457, 'target_dim': 36, 'target_embedding_index': 15, 'target_hecke_orbit_code': 9007268024550834, 'target_is_minimal': False, 'target_label': '1458.3.b.c.1457.15', 'target_level': 1458, 'twist_class_label': '54.3.f.a.29.6', 'twist_class_level': 54, 'twisting_char_label': '27.11', 'twisting_conrey_index': 11, 'weight': 3}
  • id: 3411527
    {'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 29, 'source_dim': 36, 'source_embedding_index': 6, 'source_hecke_orbit_code': 343647715382, 'source_is_minimal': True, 'source_label': '54.3.f.a.29.6', 'source_level': 54, 'target_conrey_index': 71, 'target_dim': 36, 'target_embedding_index': 3, 'target_hecke_orbit_code': 343647715490, 'target_is_minimal': False, 'target_label': '162.3.f.a.71.3', 'target_level': 162, 'twist_class_label': '54.3.f.a.29.6', 'twist_class_level': 54, 'twisting_char_label': '27.13', 'twisting_conrey_index': 13, 'weight': 3}
  • id: 3411528
    {'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 29, 'source_dim': 36, 'source_embedding_index': 6, 'source_hecke_orbit_code': 343647715382, 'source_is_minimal': True, 'source_label': '54.3.f.a.29.6', 'source_level': 54, 'target_conrey_index': 41, 'target_dim': 36, 'target_embedding_index': 6, 'target_hecke_orbit_code': 343647715382, 'target_is_minimal': True, 'target_label': '54.3.f.a.41.6', 'target_level': 54, 'twist_class_label': '54.3.f.a.29.6', 'twist_class_level': 54, 'twisting_char_label': '27.14', 'twisting_conrey_index': 14, 'weight': 3}
  • id: 3411529
    {'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 29, 'source_dim': 36, 'source_embedding_index': 6, 'source_hecke_orbit_code': 343647715382, 'source_is_minimal': True, 'source_label': '54.3.f.a.29.6', 'source_level': 54, 'target_conrey_index': 1457, 'target_dim': 36, 'target_embedding_index': 22, 'target_hecke_orbit_code': 9007268024550834, 'target_is_minimal': False, 'target_label': '1458.3.b.c.1457.22', 'target_level': 1458, 'twist_class_label': '54.3.f.a.29.6', 'twist_class_level': 54, 'twisting_char_label': '27.16', 'twisting_conrey_index': 16, 'weight': 3}
  • id: 3411530
    {'conductor': 108, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 29, 'source_dim': 36, 'source_embedding_index': 6, 'source_hecke_orbit_code': 343647715382, 'source_is_minimal': True, 'source_label': '54.3.f.a.29.6', 'source_level': 54, 'target_conrey_index': 257, 'target_dim': 36, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9009123450421680, 'target_is_minimal': False, 'target_label': '432.3.bc.c.257.1', 'target_level': 432, 'twist_class_label': '54.3.f.a.29.6', 'twist_class_level': 54, 'twisting_char_label': '108.95', 'twisting_conrey_index': 95, 'weight': 3}
• hecke_orbit_code 343647715382 does not appear in mf_hecke_charpolys
• mf_newform_portraits •

  Column	Type
  char_orbit_index	smallint
  hecke_orbit	integer
  label	text
  level	integer
  portrait	text
  weight	smallint

  
  {'char_orbit_index': 6, 'hecke_orbit': 1, 'label': '54.3.f.a', 'level': 54, 'portrait': 'data:image/png;base64,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', 'weight': 3}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 8312568
    {'hecke_orbit_code': 343647715382, 'n': 1, 'trace_an': 36}
  • id: 8312569
    {'hecke_orbit_code': 343647715382, 'n': 2, 'trace_an': 0}
  • id: 8312570
    {'hecke_orbit_code': 343647715382, 'n': 3, 'trace_an': 0}
  • id: 8312571
    {'hecke_orbit_code': 343647715382, 'n': 4, 'trace_an': 0}
  • id: 8312572
    {'hecke_orbit_code': 343647715382, 'n': 5, 'trace_an': 18}
  • id: 8312573
    {'hecke_orbit_code': 343647715382, 'n': 6, 'trace_an': 12}
  • id: 8312574
    {'hecke_orbit_code': 343647715382, 'n': 7, 'trace_an': 0}
  • id: 8312575
    {'hecke_orbit_code': 343647715382, 'n': 8, 'trace_an': 0}
  • id: 8312576
    {'hecke_orbit_code': 343647715382, 'n': 9, 'trace_an': -12}
  • id: 8312577
    {'hecke_orbit_code': 343647715382, 'n': 10, 'trace_an': 0}
  • id: 8312578
    {'hecke_orbit_code': 343647715382, 'n': 11, 'trace_an': -18}
  • id: 8312579
    {'hecke_orbit_code': 343647715382, 'n': 12, 'trace_an': -12}
  • id: 8312580
    {'hecke_orbit_code': 343647715382, 'n': 13, 'trace_an': 0}
  • id: 8312581
    {'hecke_orbit_code': 343647715382, 'n': 14, 'trace_an': -36}
  • id: 8312582
    {'hecke_orbit_code': 343647715382, 'n': 15, 'trace_an': -18}
  • id: 8312583
    {'hecke_orbit_code': 343647715382, 'n': 16, 'trace_an': 0}
  • id: 8312584
    {'hecke_orbit_code': 343647715382, 'n': 17, 'trace_an': 0}
  • id: 8312585
    {'hecke_orbit_code': 343647715382, 'n': 18, 'trace_an': -48}
  • id: 8312586
    {'hecke_orbit_code': 343647715382, 'n': 19, 'trace_an': 0}
  • id: 8312587
    {'hecke_orbit_code': 343647715382, 'n': 20, 'trace_an': -72}
  • id: 8312588
    {'hecke_orbit_code': 343647715382, 'n': 21, 'trace_an': -228}
  • id: 8312589
    {'hecke_orbit_code': 343647715382, 'n': 22, 'trace_an': 36}
  • id: 8312590
    {'hecke_orbit_code': 343647715382, 'n': 23, 'trace_an': -180}
  • id: 8312591
    {'hecke_orbit_code': 343647715382, 'n': 24, 'trace_an': 0}
  • id: 8312592
    {'hecke_orbit_code': 343647715382, 'n': 25, 'trace_an': 18}
  • id: 8312593
    {'hecke_orbit_code': 343647715382, 'n': 26, 'trace_an': 0}
  • id: 8312594
    {'hecke_orbit_code': 343647715382, 'n': 27, 'trace_an': 54}
  • id: 8312595
    {'hecke_orbit_code': 343647715382, 'n': 28, 'trace_an': 0}
  • id: 8312596
    {'hecke_orbit_code': 343647715382, 'n': 29, 'trace_an': 144}
  • id: 8312597
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  • id: 8312598
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  • id: 8312599
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  • id: 8312600
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  • id: 8312601
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  • id: 8312602
    {'hecke_orbit_code': 343647715382, 'n': 35, 'trace_an': 486}
  • id: 8312603
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  • id: 8312604
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  • id: 8312605
    {'hecke_orbit_code': 343647715382, 'n': 38, 'trace_an': 180}
  • id: 8312606
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  • id: 8312607
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  • id: 8312608
    {'hecke_orbit_code': 343647715382, 'n': 41, 'trace_an': -90}
  • id: 8312609
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  • id: 8312610
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  • id: 8312611
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  • id: 8312612
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  • id: 8312613
    {'hecke_orbit_code': 343647715382, 'n': 46, 'trace_an': 0}
  • id: 8312614
    {'hecke_orbit_code': 343647715382, 'n': 47, 'trace_an': -378}
  • id: 8312615
    {'hecke_orbit_code': 343647715382, 'n': 48, 'trace_an': -24}
  • id: 8312616
    {'hecke_orbit_code': 343647715382, 'n': 49, 'trace_an': 72}
  • id: 8312617
    {'hecke_orbit_code': 343647715382, 'n': 50, 'trace_an': 0}
  • id: 8312618
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  • id: 8312619
    {'hecke_orbit_code': 343647715382, 'n': 52, 'trace_an': 0}
  • id: 8312620
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  • id: 8312621
    {'hecke_orbit_code': 343647715382, 'n': 54, 'trace_an': -36}
  • id: 8312622
    {'hecke_orbit_code': 343647715382, 'n': 55, 'trace_an': 0}
  • id: 8312623
    {'hecke_orbit_code': 343647715382, 'n': 56, 'trace_an': -72}
  • id: 8312624
    {'hecke_orbit_code': 343647715382, 'n': 57, 'trace_an': 72}
  • id: 8312625
    {'hecke_orbit_code': 343647715382, 'n': 58, 'trace_an': 0}
  • id: 8312626
    {'hecke_orbit_code': 343647715382, 'n': 59, 'trace_an': 252}
  • id: 8312627
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  • id: 8312628
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  • id: 8312629
    {'hecke_orbit_code': 343647715382, 'n': 62, 'trace_an': 0}
  • id: 8312630
    {'hecke_orbit_code': 343647715382, 'n': 63, 'trace_an': 318}
  • id: 8312631
    {'hecke_orbit_code': 343647715382, 'n': 64, 'trace_an': 144}
  • id: 8312632
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  • id: 8312633
    {'hecke_orbit_code': 343647715382, 'n': 66, 'trace_an': -432}
  • id: 8312634
    {'hecke_orbit_code': 343647715382, 'n': 67, 'trace_an': -594}
  • id: 8312635
    {'hecke_orbit_code': 343647715382, 'n': 68, 'trace_an': -180}
  • id: 8312636
    {'hecke_orbit_code': 343647715382, 'n': 69, 'trace_an': -522}
  • id: 8312637
    {'hecke_orbit_code': 343647715382, 'n': 70, 'trace_an': -360}
  • id: 8312638
    {'hecke_orbit_code': 343647715382, 'n': 71, 'trace_an': -648}
  • id: 8312639
    {'hecke_orbit_code': 343647715382, 'n': 72, 'trace_an': -192}
  • id: 8312640
    {'hecke_orbit_code': 343647715382, 'n': 73, 'trace_an': 126}
  • id: 8312641
    {'hecke_orbit_code': 343647715382, 'n': 74, 'trace_an': -504}
  • id: 8312642
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  • id: 8312643
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  • id: 8312644
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  • id: 8312645
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  • id: 8312646
    {'hecke_orbit_code': 343647715382, 'n': 79, 'trace_an': -72}
  • id: 8312647
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  • id: 8312648
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  • id: 8312649
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  • id: 8312650
    {'hecke_orbit_code': 343647715382, 'n': 83, 'trace_an': 594}
  • id: 8312651
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  • id: 8312652
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  • id: 8312653
    {'hecke_orbit_code': 343647715382, 'n': 86, 'trace_an': 540}
  • id: 8312654
    {'hecke_orbit_code': 343647715382, 'n': 87, 'trace_an': 1062}
  • id: 8312655
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  • id: 8312656
    {'hecke_orbit_code': 343647715382, 'n': 89, 'trace_an': 648}
  • id: 8312657
    {'hecke_orbit_code': 343647715382, 'n': 90, 'trace_an': 720}
  • id: 8312658
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  • id: 8312659
    {'hecke_orbit_code': 343647715382, 'n': 92, 'trace_an': 396}
  • id: 8312660
    {'hecke_orbit_code': 343647715382, 'n': 93, 'trace_an': 462}
  • id: 8312661
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  • id: 8312662
    {'hecke_orbit_code': 343647715382, 'n': 95, 'trace_an': 252}
  • id: 8312663
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  • id: 8312664
    {'hecke_orbit_code': 343647715382, 'n': 97, 'trace_an': 702}
  • id: 8312665
    {'hecke_orbit_code': 343647715382, 'n': 98, 'trace_an': 648}
  • id: 8312666
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  • id: 8312667
    {'hecke_orbit_code': 343647715382, 'n': 100, 'trace_an': -180}
  • id: 8312668
    {'hecke_orbit_code': 343647715382, 'n': 101, 'trace_an': 18}
  • id: 8312669
    {'hecke_orbit_code': 343647715382, 'n': 103, 'trace_an': 72}
  • id: 8312670
    {'hecke_orbit_code': 343647715382, 'n': 107, 'trace_an': 0}
  • id: 8312671
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  • id: 8312672
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  • id: 8312673
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  • id: 8312674
    {'hecke_orbit_code': 343647715382, 'n': 125, 'trace_an': -1134}
  • id: 8312675
    {'hecke_orbit_code': 343647715382, 'n': 127, 'trace_an': 0}
  • id: 8312676
    {'hecke_orbit_code': 343647715382, 'n': 128, 'trace_an': 0}
  • id: 8312677
    {'hecke_orbit_code': 343647715382, 'n': 131, 'trace_an': -738}
  • id: 8312678
    {'hecke_orbit_code': 343647715382, 'n': 137, 'trace_an': -180}
  • id: 8312679
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  • id: 8312680
    {'hecke_orbit_code': 343647715382, 'n': 149, 'trace_an': 1278}
  • id: 8312681
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  • id: 8312682
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  • id: 8312683
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  • id: 8312684
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  • id: 8312685
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  • id: 8312686
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  • id: 8312687
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  • id: 8312688
    {'hecke_orbit_code': 343647715382, 'n': 181, 'trace_an': 0}
  • id: 8312689
    {'hecke_orbit_code': 343647715382, 'n': 191, 'trace_an': 666}
  • id: 8312690
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  • id: 8312691
    {'hecke_orbit_code': 343647715382, 'n': 197, 'trace_an': 0}
  • id: 8312692
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  • id: 8312693
    {'hecke_orbit_code': 343647715382, 'n': 211, 'trace_an': -828}
  • id: 8312694
    {'hecke_orbit_code': 343647715382, 'n': 223, 'trace_an': -2052}
  • id: 8312695
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  • id: 8312696
    {'hecke_orbit_code': 343647715382, 'n': 229, 'trace_an': -1656}
  • id: 8312697
    {'hecke_orbit_code': 343647715382, 'n': 233, 'trace_an': -648}
  • id: 8312698
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  • id: 8312699
    {'hecke_orbit_code': 343647715382, 'n': 241, 'trace_an': 162}
  • id: 8312700
    {'hecke_orbit_code': 343647715382, 'n': 243, 'trace_an': -2070}
  • id: 8312701
    {'hecke_orbit_code': 343647715382, 'n': 251, 'trace_an': -324}
  • id: 8312702
    {'hecke_orbit_code': 343647715382, 'n': 256, 'trace_an': 0}
  • id: 8312703
    {'hecke_orbit_code': 343647715382, 'n': 257, 'trace_an': 1134}
  • id: 8312704
    {'hecke_orbit_code': 343647715382, 'n': 263, 'trace_an': 1530}
  • id: 8312705
    {'hecke_orbit_code': 343647715382, 'n': 269, 'trace_an': 0}
  • id: 8312706
    {'hecke_orbit_code': 343647715382, 'n': 271, 'trace_an': 1044}
  • id: 8312707
    {'hecke_orbit_code': 343647715382, 'n': 277, 'trace_an': 594}
  • id: 8312708
    {'hecke_orbit_code': 343647715382, 'n': 281, 'trace_an': -1638}
  • id: 8312709
    {'hecke_orbit_code': 343647715382, 'n': 283, 'trace_an': -54}
  • id: 8312710
    {'hecke_orbit_code': 343647715382, 'n': 289, 'trace_an': 306}
  • id: 8312711
    {'hecke_orbit_code': 343647715382, 'n': 293, 'trace_an': 2088}
  • id: 8312712
    {'hecke_orbit_code': 343647715382, 'n': 307, 'trace_an': 288}
  • id: 8312713
    {'hecke_orbit_code': 343647715382, 'n': 311, 'trace_an': 2988}
  • id: 8312714
    {'hecke_orbit_code': 343647715382, 'n': 313, 'trace_an': -1098}
  • id: 8312715
    {'hecke_orbit_code': 343647715382, 'n': 317, 'trace_an': 234}
  • id: 8312716
    {'hecke_orbit_code': 343647715382, 'n': 331, 'trace_an': 972}
  • id: 8312717
    {'hecke_orbit_code': 343647715382, 'n': 337, 'trace_an': 1422}
  • id: 8312718
    {'hecke_orbit_code': 343647715382, 'n': 343, 'trace_an': -360}
  • id: 8312719
    {'hecke_orbit_code': 343647715382, 'n': 347, 'trace_an': -3078}
  • id: 8312720
    {'hecke_orbit_code': 343647715382, 'n': 349, 'trace_an': 2016}
  • id: 8312721
    {'hecke_orbit_code': 343647715382, 'n': 353, 'trace_an': -2664}
  • id: 8312722
    {'hecke_orbit_code': 343647715382, 'n': 359, 'trace_an': 972}
  • id: 8312723
    {'hecke_orbit_code': 343647715382, 'n': 361, 'trace_an': -342}
  • id: 8312724
    {'hecke_orbit_code': 343647715382, 'n': 367, 'trace_an': -2322}
  • id: 8312725
    {'hecke_orbit_code': 343647715382, 'n': 373, 'trace_an': -4302}
  • id: 8312726
    {'hecke_orbit_code': 343647715382, 'n': 379, 'trace_an': 2700}
  • id: 8312727
    {'hecke_orbit_code': 343647715382, 'n': 383, 'trace_an': -846}
  • id: 8312728
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  • id: 8312729
    {'hecke_orbit_code': 343647715382, 'n': 397, 'trace_an': 0}
  • id: 8312730
    {'hecke_orbit_code': 343647715382, 'n': 401, 'trace_an': 882}
  • id: 8312731
    {'hecke_orbit_code': 343647715382, 'n': 409, 'trace_an': -54}
  • id: 8312732
    {'hecke_orbit_code': 343647715382, 'n': 419, 'trace_an': 1620}
  • id: 8312733
    {'hecke_orbit_code': 343647715382, 'n': 421, 'trace_an': 3960}
  • id: 8312734
    {'hecke_orbit_code': 343647715382, 'n': 431, 'trace_an': 0}
  • id: 8312735
    {'hecke_orbit_code': 343647715382, 'n': 433, 'trace_an': -3132}
  • id: 8312736
    {'hecke_orbit_code': 343647715382, 'n': 439, 'trace_an': 5148}
  • id: 8312737
    {'hecke_orbit_code': 343647715382, 'n': 443, 'trace_an': 810}
  • id: 8312738
    {'hecke_orbit_code': 343647715382, 'n': 449, 'trace_an': -6480}
  • id: 8312739
    {'hecke_orbit_code': 343647715382, 'n': 457, 'trace_an': -3186}
  • id: 8312740
    {'hecke_orbit_code': 343647715382, 'n': 461, 'trace_an': 414}
  • id: 8312741
    {'hecke_orbit_code': 343647715382, 'n': 463, 'trace_an': -2736}
  • id: 8312742
    {'hecke_orbit_code': 343647715382, 'n': 467, 'trace_an': -2106}
  • id: 8312743
    {'hecke_orbit_code': 343647715382, 'n': 479, 'trace_an': -1242}
  • id: 8312744
    {'hecke_orbit_code': 343647715382, 'n': 487, 'trace_an': 216}
  • id: 8312745
    {'hecke_orbit_code': 343647715382, 'n': 491, 'trace_an': 3492}
  • id: 8312746
    {'hecke_orbit_code': 343647715382, 'n': 499, 'trace_an': 1944}
  • id: 8312747
    {'hecke_orbit_code': 343647715382, 'n': 503, 'trace_an': -5022}
  • id: 8312748
    {'hecke_orbit_code': 343647715382, 'n': 509, 'trace_an': 2556}
  • id: 8312749
    {'hecke_orbit_code': 343647715382, 'n': 512, 'trace_an': 0}
  • id: 8312750
    {'hecke_orbit_code': 343647715382, 'n': 521, 'trace_an': 324}
  • id: 8312751
    {'hecke_orbit_code': 343647715382, 'n': 523, 'trace_an': 1800}
  • id: 8312752
    {'hecke_orbit_code': 343647715382, 'n': 529, 'trace_an': -3276}
  • id: 8312753
    {'hecke_orbit_code': 343647715382, 'n': 541, 'trace_an': 0}
  • id: 8312754
    {'hecke_orbit_code': 343647715382, 'n': 547, 'trace_an': -4644}
  • id: 8312755
    {'hecke_orbit_code': 343647715382, 'n': 557, 'trace_an': -2916}
  • id: 8312756
    {'hecke_orbit_code': 343647715382, 'n': 563, 'trace_an': 1026}
  • id: 8312757
    {'hecke_orbit_code': 343647715382, 'n': 569, 'trace_an': -2736}
  • id: 8312758
    {'hecke_orbit_code': 343647715382, 'n': 571, 'trace_an': 1494}
  • id: 8312759
    {'hecke_orbit_code': 343647715382, 'n': 577, 'trace_an': -1386}
  • id: 8312760
    {'hecke_orbit_code': 343647715382, 'n': 587, 'trace_an': -2304}
  • id: 8312761
    {'hecke_orbit_code': 343647715382, 'n': 593, 'trace_an': 0}
  • id: 8312762
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  • id: 8312763
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  • id: 8312764
    {'hecke_orbit_code': 343647715382, 'n': 607, 'trace_an': 5058}
  • id: 8312765
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  • id: 8312766
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  • id: 8312767
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  • id: 8312768
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  • id: 8312769
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  • id: 8312770
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  • id: 8312771
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  • id: 8312772
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  • id: 8312773
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  • id: 8312774
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  • id: 8312775
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  • id: 8312776
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  • id: 8312777
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  • id: 8312778
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  • id: 8312779
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  • id: 8312780
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  • id: 8312781
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  • id: 8312782
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  • id: 8312783
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  • id: 8312784
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  • id: 8312785
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  • id: 8312786
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  • id: 8312787
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  • id: 8312788
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  • id: 8312789
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  • id: 8312790
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  • id: 8312791
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  • id: 8312792
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  • id: 8312793
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  • id: 8312794
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  • id: 8312795
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  • id: 8312797
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  • id: 8312799
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  • id: 8312800
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  • id: 8312801
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  • id: 8312802
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  • id: 8312803
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  • id: 8312804
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  • id: 8312805
    {'hecke_orbit_code': 343647715382, 'n': 859, 'trace_an': -1314}
  • id: 8312806
    {'hecke_orbit_code': 343647715382, 'n': 863, 'trace_an': 0}
  • id: 8312807
    {'hecke_orbit_code': 343647715382, 'n': 877, 'trace_an': -4536}
  • id: 8312808
    {'hecke_orbit_code': 343647715382, 'n': 881, 'trace_an': 3240}
  • id: 8312809
    {'hecke_orbit_code': 343647715382, 'n': 883, 'trace_an': 0}
  • id: 8312810
    {'hecke_orbit_code': 343647715382, 'n': 887, 'trace_an': -11322}
  • id: 8312811
    {'hecke_orbit_code': 343647715382, 'n': 907, 'trace_an': 10368}
  • id: 8312812
    {'hecke_orbit_code': 343647715382, 'n': 911, 'trace_an': -6156}
  • id: 8312813
    {'hecke_orbit_code': 343647715382, 'n': 919, 'trace_an': -8136}
  • id: 8312814
    {'hecke_orbit_code': 343647715382, 'n': 929, 'trace_an': 2592}
  • id: 8312815
    {'hecke_orbit_code': 343647715382, 'n': 937, 'trace_an': -918}
  • id: 8312816
    {'hecke_orbit_code': 343647715382, 'n': 941, 'trace_an': 1980}
  • id: 8312817
    {'hecke_orbit_code': 343647715382, 'n': 947, 'trace_an': 4806}
  • id: 8312818
    {'hecke_orbit_code': 343647715382, 'n': 953, 'trace_an': 8910}
  • id: 8312819
    {'hecke_orbit_code': 343647715382, 'n': 961, 'trace_an': -2574}
  • id: 8312820
    {'hecke_orbit_code': 343647715382, 'n': 967, 'trace_an': -2124}
  • id: 8312821
    {'hecke_orbit_code': 343647715382, 'n': 971, 'trace_an': 0}
  • id: 8312822
    {'hecke_orbit_code': 343647715382, 'n': 977, 'trace_an': 1656}
  • id: 8312823
    {'hecke_orbit_code': 343647715382, 'n': 983, 'trace_an': 4284}
  • id: 8312824
    {'hecke_orbit_code': 343647715382, 'n': 991, 'trace_an': 2178}
  • id: 8312825
    {'hecke_orbit_code': 343647715382, 'n': 997, 'trace_an': -7596}