Embedded newform data - 87.5.d.c.86.8

Formats: - HTML - YAML - JSON - 2025-09-27T05:21:03.904717

• 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': 2175, 'analytic_conductor': 8.993186788294457, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 87, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [87, 2, [59, 31], [1, 1]], 'cm_discs': [], 'conrey_index': 86, 'dim': 32, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [169201312, 0, -565245808, 0, 381535232, 0, -81614856, 0, 8132138, 0, -427707, 0, 12143, 0, -175, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007405497057367, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 29, 2, 1, 2, 0], [1, 1, 87, 4, -1, 2, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '87.5.d.c', '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': '87.5.d.c', 'prim_orbit_index': 4, 'related_objects': [], 'relative_dim': 32, 'rm_discs': [], 'sato_tate_group': '4.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '87.5.d', 'trace_display': [0, 0, 0, -84], 'traces': [32, 0, 0, 188, 0, -36, -84, 0, -452, 0, 0, 0, -224, 0, 0, -52, 0, 0, 0, 0, 0, -4216, 0, -832, -7684, 0, 0, -396, 0, 3384, 0, 0, -3308, 9124, 0, -3680, 0, 0, 0, 0, 0, 19764, 0, 0, 44, 0, 0, 0, 4796, 0, -7052, 34048, 0, 3008, 0, 0, 7976, 5936, 0, 0, 0, 0, -22848, -14668, 0, 0, -1872, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15192, 0, 0, -41088, -27028, 0, 0, 0, 0, -35572, -60032, 0, 0, -34272, 0, 38000, 59636, 0, 13884, 0, 0, 0, -55896, 0, 0, 4988, 0, 0, 0, 0, 0, 13768, 0, 50468, 71668, 0, 0, -6128, 0, -46852, 0, 0, -44368, -38784, 0, 55828, 0, 0, 0, 0, 0, -14224, 0, 0, 10624, 0, 0, 0, 164612, 0, -60460, 35288, 0, 118272, 0, 0, -202316, -129652, 0, 0, 0, 0, 148004, 239204, 0, 0, -125632, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -15788, 0, 0, 148892, -331128, 0, 0, 0, 0, 149128, 224312, 0, 0, -55792, 0, 62792, -71832, 0, 91492, 0, 0, 0, 311032, 0, 0, 44580, 0, 0, 0, 0, 0, -369480, 0, -55424, -89800, 0, 0, 106912, 0, -472452, 0, 0, 31084, -122360, 0, -10424, 0, 0, 0, 0, 0, 51836, 0, 0, -407000, 0, 0, 0, 315584, 0, -433832, 466508, 0, 84208, 0, 0, 37516, -382592, 0, 0, 0, 0, 36096, -219916, 0, 0, -414964, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44640, 0, 0, -202320, -434932, 0, 0, 0, 0, 100416, 324664, 0, 0, -371624, 0, 219268, 585128, 0, 989040, 0, 0, 0, -742360, 0, 0, 966616, 0, 0, 0, 0, 0, 817800, 0, 803000, 102040, 0, 0, 111116, 0, -261412, 0, 0, -598636, 90764, 0, 335092, 0, 0, 0, 0, 0, 790568, 0, 0, -177184, 0, 0, 0, 515536, 0, -62744, 490060, 0, 479068, 0, 0, -973192, -372016, 0, 0, 0, 0, -480892, -785384, 0, 0, -528788, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -613928, 0, 0, -1264172, -497508, 0, 0, 0, 0, 380436, -546336, 0, 0, 968440, 0, 494032, -1021432, 0, 83192, 0, 0, 0, -1654268, 0, 0, -398856, 0, 0, 0, 0, 0, 827404, 0, 1780092, -371984, 0, 0, 1595532, 0, 68728, 0, 0, -489220, 108692, 0, -391120, 0, 0, 0, 0, 0, 1361340, 0, 0, -1295076, 0, 0, 0, 149136, 0, -1107988, 361568, 0, -588728, 0, 0, -1053740, -182600, 0, 0, 0, 0, 625920, 359340, 0, 0, -1383360, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -115400, 0, 0, -330124, -3289564, 0, 0, 0, 0, 1407780, 4146232, 0, 0, 1203196, 0, -268736, -1542280, 0, 2286012, 0, 0, 0, 32756, 0, 0, 156848, 0, 0, 0, 0, 0, 1797004, 0, 2532256, 736640, 0, 0, 2147336, 0, -1713680, 0, 0, 780236, 1661168, 0, -2936, 0, 0, 0, 0, 0, 78732, 0, 0, -1287716, 0, 0, 0, -3971124, 0, -1492104, 840180, 0, -950808, 0, 0, -1132964, -1502992, 0, 0, 0, 0, -969228, -252696, 0, 0, -2188136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 482584, 0, 0, 132260, -742512, 0, 0, 0, 0, 2542132, 2265792, 0, 0, 989492, 0, -2919196, -594784, 0, 2975988, 0, 0, 0, -1537844, 0, 0, 4592888, 0, 0, 0, 0, 0, 2397348, 0, 3216420, -1275608, 0, 0, 117928, 0, -2290876, 0, 0, -2305784, 158064, 0, 2122388, 0, 0, 0, 0, 0, 804504, 0, 0, -223744, 0, 0, 0, 80280, 0, 1535524, -5065492, 0, -1573256, 0, 0, -790036, -3177852, 0, 0, 0, 0, -2587472, 99768, 0, 0, -2350912, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 536520, 0, 0, -18336, -3549132, 0, 0, 0, 0, 2387920, 1431424, 0, 0, 2883192, 0, -2813144, -3296496, 0, 3555056, 0, 0, 0, -6122868, 0, 0, -772856, 0, 0, 0, 0, 0, 1616772, 0, 3471656, 5220976, 0, 0, 4178728, 0, -2928880, 0, 0, -3125320, 1552160, 0, 3498108, 0, 0, 0, 0, 0, 4544460, 0, 0, -636156, 0, 0, 0, 2873700, 0, -4639284, 1245680, 0, -3380620, 0, 0, -1303744, -1513840, 0, 0, 0, 0, -6248164, 4574588, 0, 0, -4954524, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1101328, 0, 0, 213212, -1918352, 0, 0, 0, 0, 2998004, 204508, 0, 0, 8610464, 0, -4864124, -4435972, 0, 5411500, 0, 0, 0, 1017032, 0, 0, -617168, 0, 0, 0, 0, 0, 3074396, 0, 8272644, 5449012, 0, 0, -3559432, 0, 2491920, 0, 0, -7212188, 10593360, 0, 6809860, 0, 0, 0, 0, 0, 7091680, 0, 0, -254288, 0, 0, 0, -9131124, 0, -2206428, 3975744, 0, -9938864, 0, 0, -220228, 957592, 0, 0, 0, 0, -4920212, 11610692, 0, 0, -10620144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5230536, 0, 0, 1959876, -15198112, 0, 0, 0, 0, -880576, -2328360, 0, 0, -1057600, 0, -27096, -3875880, 0, 4304744, 0, 0, 0, -8006448, 0, 0, -5184308, 0, 0, 0, 0, 0, 2024152, 0, 1952388, 8109648, 0, 0, 551856, 0, -1910936, 0, 0, -3732724, 8668076, 0, 1656636, 0, 0, 0, 0, 0, 5941572, 0, 0, 2890812, 0, 0, 0, -4999760, 0, -10266100, -4524280, 0, -11080628, 0, 0, -1012968, -6513552, 0, 0, 0, 0, -9559748, 11317428, 0, 0, -4386656, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7526440, 0, 0, 5698860, -7089996, 0, 0, 0, 0, 4808636, 591048, 0, 0, 11667512, 0, -19491664, -2223312, 0, 6104080, 0, 0, 0, -10169104, 0, 0, -841264, 0, 0, 0, 0, 0, 819480, 0, 11960772, 17468824, 0, 0, -579412, 0, -8037888, 0, 0, -7853096, 11577196, 0, 9291188, 0, 0, 0, 0, 0, 12537456, 0, 0, 6895620, 0, 0, 0, -820028, 0, -3310220, -6983696, 0, -6491452, 0, 0, 2155084, -10468320, 0, 0, 0, 0, -9250868, 23713392, 0, 0, -7146052, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14274336, 0, 0, 8635084, -15062540, 0, 0, 0, 0, 6134944, 1692096, 0, 0, 3029864, 0, -18347484, -4563924, 0, 10916912, 0, 0, 0, -11700752, 0, 0, 2949904, 0, 0, 0, 0, 0, 11035760, 0, 7802468, 18871744, 0, 0, 1389660, 0, -6210940, 0, 0, -14878916, 8787100, 0, 10905816, 0, 0, 0, 0, 0, 7882372, 0], 'weight': 5, 'weight_parity': -1}
• mf_hecke_cc •

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

  
  {'an_normalized': [[1.0, 0.0], [-1.0727319743295414, 0.0], [-0.8644933956919044, 0.5026441771323731], [0.15075388874895598, 0.0], [0.0, -1.1461598357097702], [0.9273697071554261, -0.5392024805204583], [0.4886531365517987, 0.0], [0.9110134576140179, 0.0], [0.4946976623898392, -0.8690651430278565], [0.0, 1.2295223034581646], [-0.48800545773138965, 0.0], [-0.13032574119834456, 0.0757755643597243], [-0.1697816447354014, 0.0], [-0.524193843935534, 0.0], [0.5761105674825133, 0.9908476083784145], [-1.1280271537760234, 0.0], [-1.1555236891539469, 0.0], [-0.5306780000716611, 0.9322739667012578], [0.0, -0.5103792438687771], [0.0, -0.17278805236111236], [-0.4224374093331643, 0.24561865372523198], [0.5234990581557852, 0.0], [0.0, 1.1964135298729983], [-0.7875651174937651, 0.457915609758916], [-0.3136823689942473, 0.0], [0.18213019896192395, 0.0], [0.009167671691425622, 0.9999579760148715], [0.07366636058455826, 0.0], [0.10251645514551011, 0.9947313086579705], [-0.618012226487629, -1.0629139111954808], [0.0, 0.47978892526983435], [0.29905733815346897, 0.0], [0.42187749527039115, -0.2452931017375014], [1.2395672084506688, 0.0], [0.0, -0.5600745987092735], [0.07457759636028641, -0.131014949887617], [0.0, -0.2570589404263334], [0.0, 0.5475001339321718], [0.1467751105834637, -0.08533975511020674], [0.0, -1.0441670349082723], [-1.2022118316684387, 0.0], [0.45316211614462204, -0.2634829833428321], [0.0, -0.01421001097394056], [-0.07356872048372126, 0.0], [-0.9960875615538959, -0.5670025914507454], [0.0, -1.2834310480152373], [1.1653979423706324, 0.0], [0.9751720246005084, -0.5669962804927221], [-0.7612181121380891, 0.0], [0.3364971070035666, 0.0], [0.9989425978391322, -0.5808172538917497], [-0.02559524318205547, 0.0], [0.0, 1.4429235464860435], [-0.009834454553548056, -1.0726868938570053], [0.0, 0.5593322552588808], [0.445169583503989, 0.0], [0.25653915505986424, 0.4412194856227857], [-0.10997267932950894, -1.0670800806640732], [0.0, 0.28326203914088], [0.08685090839735671, 0.1493741301206486], [0.0, 0.41168273921354787], [0.0, -0.5146849210661583], [0.2417355643716377, -0.42467140800839964], [0.8072187849809153, 0.0], [0.0, 0.19459690203646224], [-0.4525614784266085, 0.26313375331628697], [-1.1546257976073773, 0.0], [-0.17419968968149732, 0.0], [-0.6013702942330511, -1.034291595091646], [0.0, 0.6008099300452246], [0.0, 1.0837784949682914], [0.45067622788733946, -0.7917300408416285], [0.0, -0.5177915084029927], [0.0, 0.2757553446826006], [0.27117633634051774, -0.15767061624404682], [0.0, -0.0769416557499699], [-0.23846539757483978, 0.0], [-0.15745035415863579, 0.09154668398817165], [0.0, 1.8444849809578976], [0.0, 1.2928994172480865], [-0.5105484456520574, -0.8598489894407437], [1.2896510717480185, 0.0], [0.0, -0.5595687803128516], [-0.06368408221000904, 0.03702796719836197], [0.0, 1.3244148417194352], [0.0, 0.015243533127319709], [-0.588620698531233, -0.808409347583638], [-0.4445795393823847, 0.0], [-1.5379224824325983, 0.0], [1.0685349765108094, 0.6082418093769245], [-0.08296433322887709, 0.0], [0.0, 0.18036399218021973], [-0.2411631095394815, -0.41477435722188843], [-1.2501596355988338, 0.0], [-0.5849761903023143, 0.0], [-0.2585330937668745, 0.15031942965154824], [0.0, 1.6841528160458143], [0.8165830083292986, 0.0], [-0.24141515917320194, 0.4241085329217047], [-0.047288836957867716, 0.0], [0.12247408742465628, 0.0], [-1.0715976652218535, 0.6230612394919591], [1.3160787508615028, 0.0], [-0.15467336320979283, 0.0], [0.2815182358009668, 0.48418079167896055], [0.0, -1.5478702248285572], [0.0, -1.393580257603029], [0.0013820621582561316, 0.15074755346977714], [0.04581255713453035, 0.0], [0.0, -0.6000135944900542], [0.12920917958511405, 0.22222575630212393], [-0.551214006808252, 0.0], [1.1038270753372232, 0.0], [-0.2751977543002005, -0.47331024992479565], [1.3712811348401819, 0.0], [0.015454754273943569, 0.1499596130405271], [-0.08399058276730523, 0.14755130936547634], [0.0, -0.30386424650020805], [-0.5646502750649819, 0.0], [0.5248444800502183, 0.9026755056773996], [-0.7618506732243768, 0.0], [0.0, -0.44162523763394296], [1.0393041887000327, -0.6042847768677853], [0.0, 0.07233004626310977], [0.0, -0.7866297031982722], [-0.2593174692340529, 0.4555585979541568], [0.0, -0.5457238685780169], [-1.16498673908194, 0.0], [0.007142579273038344, 0.012284460639681102], [0.0, -0.2087503189199865], [0.6085490501667581, 0.0], [0.06359967298768075, -0.03697888897022163], [0.0, -0.24939841834741333], [1.2386040114791834, 0.0], [1.1461116695058793, -0.010507617079685502], [-1.0526976314110428, 0.0], [-0.16635931335671503, 0.0], [0.6451091430357582, 1.1095176648351122], [-0.4814500488315865, 0.0], [0.0, -0.08443342374493398], [-1.0074788245323465, 0.5857804897746473], [0.0, -1.1626038446432343], [0.08285436925348774, 0.0], [-0.5580323960852624, 0.9803290797356656], [1.1401210733067841, -0.11750024338712589], [0.0, 0.5554515071002137], [0.6580680306244375, -0.38262185159390827], [0.0, 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0.02676957655235857], [0.0, -0.4643893085737753], [0.0, 1.790012318295883], [-0.8373881700317934, -1.4402167090704587], [0.7505145649949152, 0.0], [0.0, 0.13152939501834324], [0.022663364922553112, -0.03981409651859246], [0.8340274052727783, 0.0], [1.1382774374679732, 0.0], [0.9468201024603484, -0.5505115639578364], [-1.6807054450824668, 0.0], [0.12707603612497817, 1.2330363114316412], [-0.49230768761725036, 0.28624347365923025], [0.0, 0.013063280861894944], [0.01700104938886627, 0.0], [-0.5214509003141572, -0.2968253225963547], [0.5860497086178605, 0.0], [0.0, 0.1434843988667103], [0.3542680649340894, 0.6093025968933403], [0.0, -0.5681100152520966], [0.0, 1.5901047056764768], [0.04240164012628891, 0.07292621604572601], [0.0, -1.13880643125283], [-0.8704979654716286, 0.0], [0.25704813778524377, -0.0023566319711743624], [0.0, -0.7166302457725466]], 'angles': [-0.3401016577814524, None, -0.402874227046113, -0.21071655691566762, -0.28923029381419935, -0.26352707433473865, -0.3480368783170632, -0.4589310515889991, 0.10205992864712411, None, 0.0385564209667024, -0.47948715476051856, -0.35263651155811404, -0.4988691937418597, -0.15099833704733587, 0.12826472051717122, 0.02261732589629502, 0.03299654570198128, -0.3479493537329264, 0.09114539151849993, -0.4583206938926429, 0.18682264524375894, -0.45486850870830725, -0.3896130573405024, 0.15933343639075362, -0.2402477201691882, -0.1356930130992077, -0.3773054457182086, -0.24635403365246977, -0.1569489196058322, -0.4560148893329298, -0.20079299185851124, -0.26325376707565473, -0.2886925995256725, 0.16445608537207262, -0.3043587977346384, -0.42353545736601705, -0.35849501999782585, -0.49991438792689613, 0.009654547624510764, 0.02654518483336641, -0.14348144691110815, -0.24140772546813846, 0.12012804578068262, -0.3690153369813663, -0.37200285193631705, -0.48279853351314417, -0.40928163111564997, 0.12930271049335176, 0.01697585484009075, 0.09292777168378345, 0.06922070917247472, -0.3252120185099645, -0.26508922932486295, -0.3431868904460968, -0.12446782113701871, -0.2855609806435538, -0.3266653829424757, -0.1412109999997683, -0.48932625278568614, -0.1845034717485844, -0.41294836881635205, -0.47660390421456506, -0.13331848569836233, -0.28542729591846855, -0.3036958750503608, -0.4426820799301457, 0.10471299507047067, -0.41016011687233284, -0.41647578357069237, 0.04110267360348854, -0.35621324388750075, 0.13134996443729072, -0.3149308302279391, 0.08111776296562452, 0.09379651100123501, -0.3581994071165628, -0.19799046321963135, -0.34456214437270044, 0.09636118093343332, -0.44932499089339684, -0.4932021471296841, -0.4743044308976435, -0.42157546148567604, -0.18678060145404954, -0.32143904823927527, -0.36532919892631005, -0.3349621733391758, -0.21574299363881472, -0.32594121722583336, -0.3197264460428198, -0.3143500616757059, -0.24508086586802616, -0.31354476101754675, -0.18350713232308963, -0.20517085536684346, -0.4549334463571696, -0.45176645107605035, -0.1097121219895421, 0.012736391880811451, -0.1362504293146467, -0.413915754140647, -0.2012551730857343, -0.13445924783418353, -0.19378119250573456, 0.003302435824701861, 0.18521456176779277, -0.41166146040621027, -0.15600354374633357, -0.49451904475285435, -0.4519205079557546, -0.25004760118424374, -0.3981081735498189, 0.03300184564226151, -0.2272933862082536, -0.42586126952861936, -0.15721996922630596, 0.20012115249579807, -0.20141791640855783, -0.1965092403037113, -0.22588468296096975, -0.3942469946733198, -0.0715128728423251, -0.45422609536122294, -0.38482454404722083, -0.4951148674294033, -0.18227354992170267, -0.4186680762810251, 0.11459250717018618, -0.3472254004296072, 0.14827898537021578, -0.2509797382253718, -0.47342343576565216, -0.4900884591106102, -0.37799728027777973, 0.014632270633685603, -0.22840473137582104, -0.23163221751035531, -0.07964242505872922, -0.26536090921959427, -0.34004739849465804, 0.0029975776113704733, 0.22242871682431525, -0.3285015633167523, 0.07164154223047862, -0.3784127738851369, -0.356617674828476, -0.3832405903403794, -0.44763397761138185, 0.09075116134875527, -0.24904439484755617, -0.23586579983003303, -0.2594489202869062, -0.2941348637306887, -0.48369990057557244, -0.23022838974515128, -0.3485205067278535, 0.03475366913008191, -0.13285405812798884, -0.43697743070446343, -0.24072079239252092, -0.48122994616634746, 0.13016810162370973, -0.3585109819573855, 0.1764145025933458, -0.15363836720478924, -0.20266906468382503, -0.403587164881531], 'char_orbit_index': 4, 'conrey_index': 86, 'dual_conrey_index': 86, 'dual_embedding_index': 7, 'dual_embedding_m': 7, 'embedding_index': 8, 'embedding_m': 8, 'hecke_orbit': 3, 'hecke_orbit_code': 9007405497057367, 'label': '87.5.d.c.86.8', 'level': 87, 'weight': 5}
• mf_newspaces •

  Column	Type
  ALdims	integer[]
  ALdims_eis_new	integer[]
  ALdims_eis_old	integer[]
  ALdims_old	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': 2175, 'analytic_conductor': 8.993186788294457, 'char_conductor': 87, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [87, 2, [59, 31], [1, 1]], 'conrey_index': 86, 'cusp_dim': 38, 'dim': 38, 'eis_dim': 4, 'eis_new_dim': 4, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 206242316375, 'hecke_orbit_dims': [3, 3, 32], 'label': '87.5.d', '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': 42, 'mf_new_dim': 42, 'num_forms': 3, 'prim_orbit_index': 4, 'relative_dim': 38, 'sturm_bound': 50, 'trace_bound': 3, 'trace_display': [0, 0, 0, -84], 'traces': [38, 0, 0, 284, 0, -36, -84, 0, 34, 0, 0, 0, -224, 0, 0, 1484, 0, 0, 0, 0, 0, 1070, 0, 1382, -3934, 0, 0, -4038, 0, 3384, 0, 0, -3308, -2582, 0, 4096, 0, 0, 0, 0, 0, -1350, 0, 0, 44, 0, 0, 0, 19202, 0, -7052, 3334, 0, 3008, 0, 0, 7976, 5936, 0, 0, 0, 0, -22848, -29158, 0, 0, -1872, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -29250, 0, 0, -1722, -27028, 0, 0, 0, 0, 9842, 24544, 0, 0, 31692, 0, 38000, 14810, 0, 49308, 0, 0, 0, 4104, 0, 0, -1336, 0, 0, 0, 0, 0, 13768, 0, 50468, -24518, 0, 0, -6128, 0, -46852, 0, 0, -44368, 49062, 0, -63296, 0, 0, 0, 0, 0, -14224, 0, 0, -10490, 0, 0, 0, -22684, 0, -60460, 35288, 0, 118272, 0, 0, -77900, -129652, 0, 0, 0, 0, 148004, -21712, 0, 0, -117178, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -15788, 0, 0, -188932, -159762, 0, 0, 0, 0, 149128, 224312, 0, 0, -1834, 0, 62792, -71832, 0, 91492, 0, 0, 0, -104540, 0, 0, 44580, 0, 0, 0, 0, 0, 317310, 0, 372742, -89800, 0, 0, 479110, 0, -353598, 0, 0, 31084, -324818, 0, -10424, 0, 0, 0, 0, 0, 231170, 0, 0, -407000, 0, 0, 0, 315584, 0, -130082, 510962, 0, 84208, 0, 0, -524840, -175706, 0, 0, 0, 0, 36096, -334150, 0, 0, -414964, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -250362, 0, 0, -202320, -666772, 0, 0, 0, 0, 100416, 646750, 0, 0, -371624, 0, 219268, 89294, 0, 989040, 0, 0, 0, -742360, 0, 0, 966616, 0, 0, 0, 0, 0, 141876, 0, 803000, -612386, 0, 0, 612242, 0, -261412, 0, 0, -129862, 90764, 0, 335092, 0, 0, 0, 0, 0, 790568, 0, 0, -1125370, 0, 0, 0, 515536, 0, -773816, 490060, 0, 479068, 0, 0, -973192, -372016, 0, 0, 0, 0, 148964, -785384, 0, 0, -1071464, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -613928, 0, 0, -1264172, -1223832, 0, 0, 0, 0, 1107060, 881868, 0, 0, 872254, 0, 494032, -1021432, 0, 1311908, 0, 0, 0, -872342, 0, 0, 1531902, 0, 0, 0, 0, 0, 827404, 0, 1780092, 462364, 0, 0, 878316, 0, -1641506, 0, 0, -489220, 108692, 0, 175664, 0, 0, 0, 0, 0, 1361340, 0, 0, -1295076, 0, 0, 0, 403452, 0, -1107988, 1321568, 0, 556558, 0, 0, -1053740, -2155586, 0, 0, 0, 0, -53076, 258156, 0, 0, -1383360, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -115400, 0, 0, -827680, -3289564, 0, 0, 0, 0, 1407780, 1912606, 0, 0, 1203196, 0, 898150, -75394, 0, 2286012, 0, 0, 0, -1506220, 0, 0, 156848, 0, 0, 0, 0, 0, 1797004, 0, 2532256, 736640, 0, 0, 2147336, 0, -1713680, 0, 0, -1707598, 258332, 0, -2936, 0, 0, 0, 0, 0, 78732, 0, 0, -1287716, 0, 0, 0, -719694, 0, -1492104, 345408, 0, -950808, 0, 0, -3038948, -1502992, 0, 0, 0, 0, -969228, -252696, 0, 0, -4919138, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 482584, 0, 0, 132260, -3180996, 0, 0, 0, 0, 2542132, 2265792, 0, 0, 989492, 0, -968662, 1084262, 0, 2975988, 0, 0, 0, -1537844, 0, 0, 1634654, 0, 0, 0, 0, 0, 2938794, 0, 6676362, -1275608, 0, 0, 3421678, 0, -2290876, 0, 0, -2305784, 3228246, 0, 2122388, 0, 0, 0, 0, 0, 3564606, 0, 0, -223744, 0, 0, 0, -49596, 0, -2041328, 109784, 0, -2746946, 0, 0, -790036, -3177852, 0, 0, 0, 0, -2587472, 2015070, 0, 0, -2350912, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1920270, 0, 0, -18336, -7723788, 0, 0, 0, 0, 2387920, 1431424, 0, 0, 2883192, 0, -2813144, -5723076, 0, 3555056, 0, 0, 0, -2733582, 0, 0, 1570894, 0, 0, 0, 0, 0, 1616772, 0, 3471656, 5333398, 0, 0, -606956, 0, -2928880, 0, 0, -3125320, 1552160, 0, 3498108, 0, 0, 0, 0, 0, 4544460, 0, 0, -1258614, 0, 0, 0, -617334, 0, -4639284, 1245680, 0, -2916544, 0, 0, -1303744, -1513840, 0, 0, 0, 0, -7592062, 4574588, 0, 0, -3632406, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1101328, 0, 0, 213212, -1918352, 0, 0, 0, 0, 2998004, 204508, 0, 0, 6334214, 0, -8463926, -4435972, 0, 5411500, 0, 0, 0, -5011084, 0, 0, 246160, 0, 0, 0, 0, 0, 3074396, 0, 8272644, 5449012, 0, 0, 1264382, 0, -696618, 0, 0, -4023542, 10593360, 0, 6809860, 0, 0, 0, 0, 0, 7091680, 0, 0, -254288, 0, 0, 0, -9131124, 0, -2206428, -6337242, 0, -9938864, 0, 0, -220228, -3195266, 0, 0, 0, 0, -4920212, 11610692, 0, 0, -9280068, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5230536, 0, 0, 1959876, -9513754, 0, 0, 0, 0, 2797958, 3495102, 0, 0, 6074156, 0, -7289772, -3875880, 0, 11155400, 0, 0, 0, -11682954, 0, 0, 1273816, 0, 0, 0, 0, 0, 2024152, 0, 1952388, 14064816, 0, 0, 551856, 0, -1910936, 0, 0, -8052238, 8668076, 0, 6999720, 0, 0, 0, 0, 0, 5941572, 0, 0, 2890812, 0, 0, 0, -8239088, 0, -3615406, -4524280, 0, -11080628, 0, 0, -1012968, -2269866, 0, 0, 0, 0, -13190654, 15115584, 0, 0, -11702906, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7526440, 0, 0, 8568204, -7089996, 0, 0, 0, 0, 4808636, 3146772, 0, 0, 11667512, 0, -19491664, -10666596, 0, 6104080, 0, 0, 0, -8329636, 0, 0, -9286762, 0, 0, 0, 0, 0, 8550366, 0, 11960772, 17468824, 0, 0, -4099246, 0, -3177888, 0, 0, -7853096, 12288460, 0, 9291188, 0, 0, 0, 0, 0, 12537456, 0, 0, 6895620, 0, 0, 0, -820028, 0, -3310220, -6983696, 0, -25092886, 0, 0, 1642840, -7158144, 0, 0, 0, 0, -9250868, 23713392, 0, 0, -7146052, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14274336, 0, 0, 8635084, -11292800, 0, 0, 0, 0, 6134944, 1692096, 0, 0, 8570990, 0, -18347484, -15349422, 0, 10916912, 0, 0, 0, -11700752, 0, 0, -6569348, 0, 0, 0, 0, 0, 7804124, 0, 7802468, 18871744, 0, 0, 1389660, 0, -2037712, 0, 0, -14878916, 8787100, 0, 10905816, 0, 0, 0, 0, 0, 7882372, 0], 'weight': 5, '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: 40769273
    {'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 86, 'source_dim': 32, 'source_embedding_index': 8, 'source_hecke_orbit_code': 9007405497057367, 'source_is_minimal': True, 'source_label': '87.5.d.c.86.8', 'source_level': 87, 'target_conrey_index': 86, 'target_dim': 32, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9007405497057367, 'target_is_minimal': True, 'target_label': '87.5.d.c.86.8', 'target_level': 87, 'twist_class_label': '87.5.d.c.86.7', 'twist_class_level': 87, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 5}
  • id: 40769274
    {'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 86, 'source_dim': 32, 'source_embedding_index': 8, 'source_hecke_orbit_code': 9007405497057367, 'source_is_minimal': True, 'source_label': '87.5.d.c.86.8', 'source_level': 87, 'target_conrey_index': 86, 'target_dim': 32, 'target_embedding_index': 26, 'target_hecke_orbit_code': 9007405497057367, 'target_is_minimal': True, 'target_label': '87.5.d.c.86.26', 'target_level': 87, 'twist_class_label': '87.5.d.c.86.7', 'twist_class_level': 87, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 5}
  • id: 40769275
    {'conductor': 29, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 86, 'source_dim': 32, 'source_embedding_index': 8, 'source_hecke_orbit_code': 9007405497057367, 'source_is_minimal': True, 'source_label': '87.5.d.c.86.8', 'source_level': 87, 'target_conrey_index': 86, 'target_dim': 32, 'target_embedding_index': 25, 'target_hecke_orbit_code': 9007405497057367, 'target_is_minimal': True, 'target_label': '87.5.d.c.86.25', 'target_level': 87, 'twist_class_label': '87.5.d.c.86.7', 'twist_class_level': 87, 'twisting_char_label': '29.28', 'twisting_conrey_index': 28, 'weight': 5}
  • id: 40769276
    {'conductor': 87, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 86, 'source_dim': 32, 'source_embedding_index': 8, 'source_hecke_orbit_code': 9007405497057367, 'source_is_minimal': True, 'source_label': '87.5.d.c.86.8', 'source_level': 87, 'target_conrey_index': 86, 'target_dim': 32, 'target_embedding_index': 7, 'target_hecke_orbit_code': 9007405497057367, 'target_is_minimal': True, 'target_label': '87.5.d.c.86.7', 'target_level': 87, 'twist_class_label': '87.5.d.c.86.7', 'twist_class_level': 87, 'twisting_char_label': '87.86', 'twisting_conrey_index': 86, 'weight': 5}
• hecke_orbit_code 9007405497057367 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': 4, 'hecke_orbit': 3, 'label': '87.5.d.c', 'level': 87, 'portrait': 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', 'weight': 5}
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 30320911
    {'hecke_orbit_code': 9007405497057367, 'n': 1, 'trace_an': 32}
  • id: 30320912
    {'hecke_orbit_code': 9007405497057367, 'n': 2, 'trace_an': 0}
  • id: 30320913
    {'hecke_orbit_code': 9007405497057367, 'n': 3, 'trace_an': 0}
  • id: 30320914
    {'hecke_orbit_code': 9007405497057367, 'n': 4, 'trace_an': 188}
  • id: 30320915
    {'hecke_orbit_code': 9007405497057367, 'n': 5, 'trace_an': 0}
  • id: 30320916
    {'hecke_orbit_code': 9007405497057367, 'n': 6, 'trace_an': -36}
  • id: 30320917
    {'hecke_orbit_code': 9007405497057367, 'n': 7, 'trace_an': -84}
  • id: 30320918
    {'hecke_orbit_code': 9007405497057367, 'n': 8, 'trace_an': 0}
  • id: 30320919
    {'hecke_orbit_code': 9007405497057367, 'n': 9, 'trace_an': -452}
  • id: 30320920
    {'hecke_orbit_code': 9007405497057367, 'n': 10, 'trace_an': 0}
  • id: 30320921
    {'hecke_orbit_code': 9007405497057367, 'n': 11, 'trace_an': 0}
  • id: 30320922
    {'hecke_orbit_code': 9007405497057367, 'n': 12, 'trace_an': 0}
  • id: 30320923
    {'hecke_orbit_code': 9007405497057367, 'n': 13, 'trace_an': -224}
  • id: 30320924
    {'hecke_orbit_code': 9007405497057367, 'n': 14, 'trace_an': 0}
  • id: 30320925
    {'hecke_orbit_code': 9007405497057367, 'n': 15, 'trace_an': 0}
  • id: 30320926
    {'hecke_orbit_code': 9007405497057367, 'n': 16, 'trace_an': -52}
  • id: 30320927
    {'hecke_orbit_code': 9007405497057367, 'n': 17, 'trace_an': 0}
  • id: 30320928
    {'hecke_orbit_code': 9007405497057367, 'n': 18, 'trace_an': 0}
  • id: 30320929
    {'hecke_orbit_code': 9007405497057367, 'n': 19, 'trace_an': 0}
  • id: 30320930
    {'hecke_orbit_code': 9007405497057367, 'n': 20, 'trace_an': 0}
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  • id: 30321133
    {'hecke_orbit_code': 9007405497057367, 'n': 761, 'trace_an': 0}
  • id: 30321134
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  • id: 30321135
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  • id: 30321136
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  • id: 30321137
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  • id: 30321138
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  • id: 30321139
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  • id: 30321140
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  • id: 30321141
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  • id: 30321142
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  • id: 30321143
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  • id: 30321144
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  • id: 30321145
    {'hecke_orbit_code': 9007405497057367, 'n': 841, 'trace_an': -6513552}
  • id: 30321146
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  • id: 30321147
    {'hecke_orbit_code': 9007405497057367, 'n': 857, 'trace_an': 0}
  • id: 30321148
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  • id: 30321149
    {'hecke_orbit_code': 9007405497057367, 'n': 863, 'trace_an': 0}
  • id: 30321150
    {'hecke_orbit_code': 9007405497057367, 'n': 877, 'trace_an': -2223312}
  • id: 30321151
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  • id: 30321152
    {'hecke_orbit_code': 9007405497057367, 'n': 883, 'trace_an': -10169104}
  • id: 30321153
    {'hecke_orbit_code': 9007405497057367, 'n': 887, 'trace_an': 0}
  • id: 30321154
    {'hecke_orbit_code': 9007405497057367, 'n': 907, 'trace_an': 0}
  • id: 30321155
    {'hecke_orbit_code': 9007405497057367, 'n': 911, 'trace_an': 0}
  • id: 30321156
    {'hecke_orbit_code': 9007405497057367, 'n': 919, 'trace_an': -820028}
  • id: 30321157
    {'hecke_orbit_code': 9007405497057367, 'n': 929, 'trace_an': 0}
  • id: 30321158
    {'hecke_orbit_code': 9007405497057367, 'n': 937, 'trace_an': -7146052}
  • id: 30321159
    {'hecke_orbit_code': 9007405497057367, 'n': 941, 'trace_an': 0}
  • id: 30321160
    {'hecke_orbit_code': 9007405497057367, 'n': 947, 'trace_an': 0}
  • id: 30321161
    {'hecke_orbit_code': 9007405497057367, 'n': 953, 'trace_an': 0}
  • id: 30321162
    {'hecke_orbit_code': 9007405497057367, 'n': 961, 'trace_an': 3029864}
  • id: 30321163
    {'hecke_orbit_code': 9007405497057367, 'n': 967, 'trace_an': 0}
  • id: 30321164
    {'hecke_orbit_code': 9007405497057367, 'n': 971, 'trace_an': 0}
  • id: 30321165
    {'hecke_orbit_code': 9007405497057367, 'n': 977, 'trace_an': 0}
  • id: 30321166
    {'hecke_orbit_code': 9007405497057367, 'n': 983, 'trace_an': 0}
  • id: 30321167
    {'hecke_orbit_code': 9007405497057367, 'n': 991, 'trace_an': 8787100}
  • id: 30321168
    {'hecke_orbit_code': 9007405497057367, 'n': 997, 'trace_an': 0}