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mf_newforms • Show schema
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{'Nk2': 3344, 'analytic_conductor': 12.331399191199788, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[11, 1], [19, 1]], 'atkin_lehner_string': '++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [209, 1, [134, 78], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 13, 'field_disc': 1171828364896791233002060321725018466176, 'field_disc_factorization': [[2, 7], [3, 1], [71, 1], [194265323089, 1], [221247895490708345559331, 1]], 'field_poly': [-86016, 115200, 1444096, -1017888, -590896, 366602, 87196, -49725, -5786, 3117, 176, -91, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [86016, 115200, -1444096, -1017888, 590896, 366602, -87196, -49725, 5786, 3117, -176, -91, 2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199321850065, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '209.4.a.c', 'level': 209, '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': [11, 19], 'level_radical': 209, 'minimal_twist': '209.4.a.c', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+(1+\\beta _{5})q^{3}+(6+\\beta _{2})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 13, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '209.4.a', 'trace_display': [-2, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'ALdims': [13, 8, 10, 15], 'Nk2': 3344, 'analytic_conductor': 12.331399191199788, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [209, 1, [134, 78], [1, 1]], 'conrey_index': 1, 'cusp_dim': 58, 'dim': 46, 'eis_dim': 4, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 67109073, 'hecke_orbit_dims': [8, 10, 13, 15], 'label': '209.4.a', 'level': 209, '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': [11, 19], 'level_radical': 209, 'mf_dim': 62, 'mf_new_dim': 46, 'num_forms': 4, 'plus_dim': 28, 'prim_orbit_index': 1, 'relative_dim': 46, 'sturm_bound': 80, 'trace_bound': 1, 'trace_display': [-4, 4, -4, 0], 'traces': [46, -4, 4, 192, -4, 76, 0, -60, 362, 8, 44, 128, -168, 28, -76, 888, 88, -692, 0, -136, 64, 0, 160, 172, 850, -460, 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-18368, -511844, -293180, 53680, -315584, -307680, 37536, -178560, 142076, 444840], 'weight': 4, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 40425865
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 13, 'source_embedding_index': 10, 'source_hecke_orbit_code': 9007199321850065, 'source_is_minimal': True, 'source_label': '209.4.a.c.1.10', 'source_level': 209, 'target_conrey_index': 1, 'target_dim': 13, 'target_embedding_index': 10, 'target_hecke_orbit_code': 9007199321850065, 'target_is_minimal': True, 'target_label': '209.4.a.c.1.10', 'target_level': 209, 'twist_class_label': '209.4.a.c.1.10', 'twist_class_level': 209, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 40425866
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 13, 'source_embedding_index': 10, 'source_hecke_orbit_code': 9007199321850065, 'source_is_minimal': True, 'source_label': '209.4.a.c.1.10', 'source_level': 209, 'target_conrey_index': 1, 'target_dim': 13, 'target_embedding_index': 4, 'target_hecke_orbit_code': 45035996340815705, 'target_is_minimal': False, 'target_label': '1881.4.a.k.1.4', 'target_level': 1881, 'twist_class_label': '209.4.a.c.1.10', 'twist_class_level': 209, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 40425867
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 13, 'source_embedding_index': 10, 'source_hecke_orbit_code': 9007199321850065, 'source_is_minimal': True, 'source_label': '209.4.a.c.1.10', 'source_level': 209, 'target_conrey_index': 1, 'target_dim': 13, 'target_embedding_index': 4, 'target_hecke_orbit_code': 45035996340816123, 'target_is_minimal': False, 'target_label': '2299.4.a.k.1.4', 'target_level': 2299, 'twist_class_label': '209.4.a.c.1.10', 'twist_class_level': 209, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 517350
{'charpoly_factorization': [[[86016, 115200, -1444096, -1017888, 590896, 366602, -87196, -49725, 5786, 3117, -176, -91, 2, 1], 1]], 'hecke_orbit_code': 9007199321850065, 'p': 2}
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id: 517351
{'charpoly_factorization': [[[444198064, 517681702, 9843351, -159913337, -31002559, 15450889, 3453691, -647855, -129327, 15185, 1999, -193, -11, 1], 1]], 'hecke_orbit_code': 9007199321850065, 'p': 3}
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id: 517352
{'charpoly_factorization': [[[-2789379165656, 2133459955500, 1237936974182, -271878370071, -41319498996, 7509563359, 532148406, -84469283, -3140328, 448465, 8314, -1101, -8, 1], 1]], 'hecke_orbit_code': 9007199321850065, 'p': 5}
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id: 517353
{'charpoly_factorization': [[[833325521817216, -41966335114480, -219156846962440, -52149777532122, -2282039463003, 372063236657, 25172563690, -1212412276, -76137037, 2341855, 92550, -2452, -39, 1], 1]], 'hecke_orbit_code': 9007199321850065, 'p': 7}
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id: 517354
{'charpoly_factorization': [[[11, 1], 13]], 'hecke_orbit_code': 9007199321850065, 'p': 11}
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id: 517355
{'charpoly_factorization': [[[496290488372909299488, 59342046861653567032, -370021082469977796, -216386355871423910, -1070912027143187, 329827309083381, 962800519206, -244864628426, 49832169, 88829789, -151784, -15166, 23, 1], 1]], 'hecke_orbit_code': 9007199321850065, 'p': 13}
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id: 517356
{'charpoly_factorization': [[[9060608954138183589888, -1230620227924819525632, 28327332288760937472, 2027659707386451968, -85942771827570176, -628486283777792, 65202836189120, -312468274240, -19080553648, 180172096, 2167384, -25708, -73, 1], 1]], 'hecke_orbit_code': 9007199321850065, 'p': 17}
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id: 517357
{'charpoly_factorization': [[[19, 1], 13]], 'hecke_orbit_code': 9007199321850065, 'p': 19}
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id: 517358
{'charpoly_factorization': [[[-2733065758004174960156672, 514817272129685118680064, 34712362597065440981760, -27945296558106073088, -20001217733390867200, 26232691889881152, 4114692156966416, -12786911021296, -363872956296, 1558875880, 13970845, -69837, -185, 1], 1]], 'hecke_orbit_code': 9007199321850065, 'p': 23}
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id: 517359
{'charpoly_factorization': [[[-10466851940106559494116608, 601129371021652658287800, 40652615201114033768772, -973889582971172692038, -21970201618689433923, 525402383249780147, 2056129109547724, -80468201712266, 5144688769, 4960500981, -4244592, -127708, 41, 1], 1]], 'hecke_orbit_code': 9007199321850065, 'p': 29}
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id: 517360
{'charpoly_factorization': [[[1983582280045958458387266488, 9063187742010625162253548, -14510164712996159444591878, 113819119624142420547253, 1936554770168781882336, -18254445922368844789, -77222467954381636, 1069507234499057, -9238278480, -26426090079, 60248146, 197067, -930, 1], 1]], 'hecke_orbit_code': 9007199321850065, 'p': 31}
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id: 517361
{'charpoly_factorization': [[[-29648944528639248619536384, -14266036577948338730139648, 1905205923341394300547072, -64098218662926982383616, 339091496910050050560, 13751252410735482432, -199827346350952128, 497717709094064, 6180869320480, -42532023476, 47917700, 323309, -1094, 1], 1]], 'hecke_orbit_code': 9007199321850065, 'p': 37}
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id: 517362
{'charpoly_factorization': [[[698785215227313544722314493440, 37673045424758058673299511936, 684993506159371350095170800, 3920778821863970745843124, -21243488415107917127184, -313903700389995671215, -481661908348918516, 6447614313780090, 24108570345610, -34601967225, -269645958, -173702, 766, 1], 1]], 'hecke_orbit_code': 9007199321850065, 'p': 41}
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id: 517363
{'charpoly_factorization': [[[-1309228148463547969154965321728, -29366156794615033172740535232, 189853569794500315218207904, 5118540237554299428574052, -19961110227333743057268, -258114842268896553875, 962490391985509520, 5447834207676506, -22228182545392, -46383168009, 243987396, 37198, -1024, 1], 1]], 'hecke_orbit_code': 9007199321850065, 'p': 43}
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id: 517364
{'charpoly_factorization': [[[-9626361611589547931509614182400, -546279986825390368318185275392, 7855280006030286764854116352, 8795223543044827820376064, -398790104795294438464512, 442134143640033228544, 7737114958621580288, -13434125219789888, -71405123764032, 138612561600, 313097552, -618028, -516, 1], 1]], 'hecke_orbit_code': 9007199321850065, 'p': 47}
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id: 517365
{'charpoly_factorization': [[[-934269438611001537668991058624512, 1553072051975751748753277442048, 96347720430173551421483461632, -25684096117237250069718016, -2838025567927171640897536, 297578828753849552512, 37434600260936520000, -9956701924877088, -249626085691504, 130191780816, 813665328, -629266, -1017, 1], 1]], 'hecke_orbit_code': 9007199321850065, 'p': 53}
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id: 517366
{'charpoly_factorization': [[[8985464155150400034589114368, -1671155778322199232624328704, 110319018742625309814964224, -3425705147102543421896704, 54127777358099776185600, -400007411901743114656, 327518929002580560, 14917818502269320, -93216981752772, 166626237142, 220924079, -844787, -15, 1], 1]], 'hecke_orbit_code': 9007199321850065, 'p': 59}
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id: 517367
{'charpoly_factorization': [[[162289741652991434815050182794903552, 78603335514207326131642494271488, -6258826655094738191782677149696, -3807717010739468615993525248, 84346474836094894655587840, 68532114112375530657024, -503276114276949548800, -482870331453559424, 1422086442631744, 1502041050592, -1830178456, -2046548, 862, 1], 1]], 'hecke_orbit_code': 9007199321850065, 'p': 61}
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id: 517368
{'charpoly_factorization': [[[410062273117986851700511390336, -227060460098764629497241404262, -12919643305232542319706413921, 3645064747264920633667465, 6824672101719325979647899, 50862933322023660990479, 42746929819446222937, -400640996565601143, -480659427801819, 1345587944371, 1018143849, -1956443, -621, 1], 1]], 'hecke_orbit_code': 9007199321850065, 'p': 67}
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id: 517369
{'charpoly_factorization': [[[1811319012009285693253863316530916056, 10488097757624216909735335846572380, -10190381048888056412282052754334, -138719473191933103070355886523, -36089430854562815015249562, 755221266508234442679623, 404954293387096175478, -2166917057306438103, -1163486477813060, 3455313085641, 1416235304, -2900321, -632, 1], 1]], 'hecke_orbit_code': 9007199321850065, 'p': 71}
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id: 517370
{'charpoly_factorization': [[[3706115741857227347721948293300224, -953148238541917942365514070376448, -9488597177884657049636059980800, 22386330907528169754462053376, 209638763499162682812642560, -11443003166481516580864, -1413887208494302063168, -1185057783138384704, 2881865923730832, 3340937365008, -2293204916, -3163440, 629, 1], 1]], 'hecke_orbit_code': 9007199321850065, 'p': 73}
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id: 517371
{'charpoly_factorization': [[[-71502892532513794736487097367003136, 3547068457276380341446228858109952, -39085191068920270794099798515712, 122571811899242339802884151296, 223375061778403039309333504, -1606286882084343992210688, 909415172550427857152, 4786917714156435584, -6102923378141824, -2840528520368, 7258429584, -1271440, -2444, 1], 1]], 'hecke_orbit_code': 9007199321850065, 'p': 79}
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id: 517372
{'charpoly_factorization': [[[-24442679372516420685186918614365903872, -3981060402716895139863474766083456, 412897224303513991536481862906368, -169132382028161640231030716168, -2447180799766797174747806080, 1844469267837703743730229, 6327598421531868767976, -6106470549141852378, -7413594573674772, 8228319679887, 3872285612, -4787214, -732, 1], 1]], 'hecke_orbit_code': 9007199321850065, 'p': 83}
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id: 517373
{'charpoly_factorization': [[[-2621422069779829279161961336242176, 541837295484566166442812746706944, -7031314440935868416971682367488, 19904686843589188974247606784, 76553375583605682472951040, -387807772082557298632768, -79331645454392636160, 2055706774490913568, -1301098721332736, -3783382373480, 4043721960, 1529681, -3178, 1], 1]], 'hecke_orbit_code': 9007199321850065, 'p': 89}
-
id: 517374
{'charpoly_factorization': [[[-8862613535128456752242363492089200640, -18099459055357531277495307369971712, 311605093180099361585758344708096, -114799614662022260695664939008, -2262502016314820167115266048, 1640940322617661264655936, 6586111896538939188416, -5276846764450448320, -9023539181343888, 7117712834928, 5813937564, -4342591, -1410, 1], 1]], 'hecke_orbit_code': 9007199321850065, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '209.4.a.c', 'level': 209, 'portrait': 'data:image/png;base64,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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 28350565
{'hecke_orbit_code': 9007199321850065, 'n': 1, 'trace_an': 13}
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id: 28350566
{'hecke_orbit_code': 9007199321850065, 'n': 2, 'trace_an': -2}
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id: 28350567
{'hecke_orbit_code': 9007199321850065, 'n': 3, 'trace_an': 11}
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id: 28350568
{'hecke_orbit_code': 9007199321850065, 'n': 4, 'trace_an': 82}
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id: 28350569
{'hecke_orbit_code': 9007199321850065, 'n': 5, 'trace_an': 8}
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id: 28350570
{'hecke_orbit_code': 9007199321850065, 'n': 6, 'trace_an': 13}
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id: 28350571
{'hecke_orbit_code': 9007199321850065, 'n': 7, 'trace_an': 39}
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id: 28350572
{'hecke_orbit_code': 9007199321850065, 'n': 8, 'trace_an': 6}
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id: 28350573
{'hecke_orbit_code': 9007199321850065, 'n': 9, 'trace_an': 156}
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id: 28350574
{'hecke_orbit_code': 9007199321850065, 'n': 10, 'trace_an': 124}
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id: 28350575
{'hecke_orbit_code': 9007199321850065, 'n': 11, 'trace_an': -143}
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id: 28350576
{'hecke_orbit_code': 9007199321850065, 'n': 12, 'trace_an': 247}
-
id: 28350577
{'hecke_orbit_code': 9007199321850065, 'n': 13, 'trace_an': -23}
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id: 28350578
{'hecke_orbit_code': 9007199321850065, 'n': 14, 'trace_an': 47}
-
id: 28350579
{'hecke_orbit_code': 9007199321850065, 'n': 15, 'trace_an': 278}
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id: 28350580
{'hecke_orbit_code': 9007199321850065, 'n': 16, 'trace_an': 526}
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id: 28350581
{'hecke_orbit_code': 9007199321850065, 'n': 17, 'trace_an': 73}
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