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mf_newforms • Show schema
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{'Nk2': 1998, 'analytic_conductor': 6.049061868798591, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 37, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 12, 'char_parity': -1, 'char_values': [222, 12, [149, 187], [12, 5]], 'cm_discs': [], 'conrey_index': 97, 'dim': 16, 'field_disc': 86197865829822481944345224111008579584, 'field_disc_factorization': [[2, 16], [3, 10], [149245765445891, 2]], 'field_poly': [4, -320, 12800, -258648, 2764889, -6131200, 5199688, 15961410, 22685392, 1520688, 38482, -14732, 8876, 318, 8, -4, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [499790736, -688117680, 767295828, -1010603952, 806997897, -470830482, 301357584, -129639150, 21883212, 128790, -121626, 41850, -3576, -234, 12, -6, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511554846687454, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 9, 'hecke_ring_index_factorization': [[3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 37, 7, -1, 12, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '222.3.l.d', 'level': 222, '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': [2, 3, 37], 'level_radical': 222, 'minimal_twist': '222.3.l.d', 'prim_orbit_index': 7, 'qexp_display': 'q+(-\\beta _{8}-\\beta _{9})q^{2}+(1-\\beta _{9})q^{3}+(2\\beta _{5}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '2.2.3.c12', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '222.3.l', 'trace_display': [8, 24, 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mf_hecke_cc • Show schema
Hide schema
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-
mf_newspaces • Show schema
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{'Nk2': 1998, 'analytic_conductor': 6.049061868798591, 'char_conductor': 37, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 12, 'char_parity': -1, 'char_values': [222, 12, [149, 187], [12, 5]], 'conrey_index': 97, 'cusp_dim': 288, 'dim': 56, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 755964575966, 'hecke_orbit_dims': [12, 12, 16, 16], 'label': '222.3.l', 'level': 222, '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': [2, 3, 37], 'level_radical': 222, 'mf_dim': 320, 'mf_new_dim': 56, 'num_forms': 4, 'prim_orbit_index': 7, 'relative_dim': 14, 'sturm_bound': 114, 'trace_bound': 3, 'trace_display': [4, 0, 0, 0], 'traces': [56, 4, 0, 0, 0, 0, 0, 16, 84, 24, 0, 0, -20, -64, 0, 112, -28, -12, 128, 0, 0, 16, 40, 0, 36, 208, 0, 0, 116, 144, -192, -16, 24, -12, 320, 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mf_twists_cc • Show schema
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id: 43470094
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 97, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554846687454, 'source_is_minimal': True, 'source_label': '222.3.l.d.97.1', 'source_level': 222, 'target_conrey_index': 97, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511554846687454, 'target_is_minimal': True, 'target_label': '222.3.l.d.97.1', 'target_level': 222, 'twist_class_label': '222.3.l.d.97.1', 'twist_class_level': 222, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 43470095
{'conductor': 37, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 97, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511554846687454, 'source_is_minimal': True, 'source_label': '222.3.l.d.97.1', 'source_level': 222, 'target_conrey_index': 103, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511554846687454, 'target_is_minimal': True, 'target_label': '222.3.l.d.103.1', 'target_level': 222, 'twist_class_label': '222.3.l.d.97.1', 'twist_class_level': 222, 'twisting_char_label': '37.29', 'twisting_conrey_index': 29, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 532700
{'charpoly_factorization': [[[4, -4, 2, -2, 1], 4]], 'hecke_orbit_code': 13511554846687454, 'p': 2}
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id: 532701
{'charpoly_factorization': [[[3, -3, 1], 8]], 'hecke_orbit_code': 13511554846687454, 'p': 3}
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id: 532702
{'charpoly_factorization': [[[499790736, -688117680, 767295828, -1010603952, 806997897, -470830482, 301357584, -129639150, 21883212, 128790, -121626, 41850, -3576, -234, 12, -6, 1], 1]], 'hecke_orbit_code': 13511554846687454, 'p': 5}
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id: 532703
{'charpoly_factorization': [[[4049077621824, 1618921133280, 2636659668312, 398101862628, 1229036220561, 311733513594, 79254243897, 10063053834, 1452642886, 127473722, 15649285, 1071794, 106198, 4754, 433, 14, 1], 1]], 'hecke_orbit_code': 13511554846687454, 'p': 7}
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id: 532704
{'charpoly_factorization': [[[12734855272601856, 0, 1256640676036992, 0, 50147364753732, 0, 1061670857808, 0, 13101700021, 0, 97015774, 0, 423831, 0, 1006, 0, 1], 1]], 'hecke_orbit_code': 13511554846687454, 'p': 11}
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id: 532705
{'charpoly_factorization': [[[20911750733845764, 24498964507116996, 11715818912594298, 3141747313590042, 586647451905885, 78093912050514, 7263657663876, 442500608214, 10697020300, -823294474, -82964350, -3059722, -14468, 7966, 458, 16, 1], 1]], 'hecke_orbit_code': 13511554846687454, 'p': 13}
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id: 532706
{'charpoly_factorization': [[[4453719116421184164, 2891163413417139396, 746095524997884678, 98628804344943702, 7851484160058543, 487959005970390, 25890663922083, 602011903662, -19250301692, -1963913806, -156916165, -3029950, 167140, 4942, 1217, 16, 1], 1]], 'hecke_orbit_code': 13511554846687454, 'p': 17}
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id: 532707
{'charpoly_factorization': [[[319097349883576576, -128372569125420672, 64723815968333472, -32471244471805584, 8331862867968196, -1182928167735804, 114016988217654, -6005693446110, 39943679643, 10308533364, -487137129, 13087686, 194002, -28470, 1029, -42, 1], 1]], 'hecke_orbit_code': 13511554846687454, 'p': 19}
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id: 532708
{'charpoly_factorization': [[[452027059421184, -402113203974144, 178855474954752, 232352722874304, 99189288848004, 20198239268496, 2502876356064, 262317851676, 62147027965, 12216873854, 1434147650, 73108280, 1945915, 12100, 578, 34, 1], 1]], 'hecke_orbit_code': 13511554846687454, 'p': 23}
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id: 532709
{'charpoly_factorization': [[[2190348058227932304, -1967684307609164976, 883827919464033672, -217007605328076828, 33617554568505177, -3383789061785946, 224734013687586, -9695832885042, 353563528543, -21221099740, 1526160164, -59486440, 1120567, -19610, 2738, -74, 1], 1]], 'hecke_orbit_code': 13511554846687454, 'p': 29}
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id: 532710
{'charpoly_factorization': [[[11941982662386350555136, 1043778886197724053504, 45615305015626825728, -3435354316137037824, 843309189847166976, 61181488998309888, 2620416646766592, -187264472752128, 7080650706112, 40536766592, 2044137344, -149695936, 5492953, 4162, 338, -26, 1], 1]], 'hecke_orbit_code': 13511554846687454, 'p': 31}
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id: 532711
{'charpoly_factorization': [[[12337511914217166362274241, 558747800351690514580718, 19900263913654426654463, 664613680449360581686, 6173354751759399629, 149819630905380484, -2561440663836606, -288377270382348, -4113552655526, -210648115692, -1366713246, 58392676, 1757549, 138214, 3023, 62, 1], 1]], 'hecke_orbit_code': 13511554846687454, 'p': 37}
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id: 532712
{'charpoly_factorization': [[[4286696999093471128644, -1440732275402784114924, 124643588059264346406, 12355975179254744802, -1287092312894511279, -99143422618835232, 13799788469720892, -98726085681984, -26508527961500, 207713966808, 38505248530, 294811968, -16874376, -203700, 6142, 150, 1], 1]], 'hecke_orbit_code': 13511554846687454, 'p': 41}
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id: 532713
{'charpoly_factorization': [[[8017908222317847644736, 934779075328696866048, 54491264769040261632, -5771396812494484224, 2491327262410858017, 238632094611597060, 12966876517326984, -1113392031033690, 46475408251576, 21448377652, 10137089186, -887386388, 37715416, -117382, 8, -4, 1], 1]], 'hecke_orbit_code': 13511554846687454, 'p': 43}
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id: 532714
{'charpoly_factorization': [[[-2331500305392, -668256349320, -5075380770, 1495780698, 34352677, -320828, -11364, 10, 1], 2]], 'hecke_orbit_code': 13511554846687454, 'p': 47}
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id: 532715
{'charpoly_factorization': [[[12737532286258552535924736, 613101118410807185276928, 138668594993345725588224, -8053627353478986774528, 776472710543426907012, -22920699280022646156, 1021102158634450782, -25938989470774626, 864603140551681, -17919941322256, 417942248488, -6712285078, 123763963, -1594072, 21028, -154, 1], 1]], 'hecke_orbit_code': 13511554846687454, 'p': 53}
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id: 532716
{'charpoly_factorization': [[[39419886931693394522443776, -6242818041174999414021120, 625112405264308926155904, -78573192064687667913120, 6383612786429289945060, -266099257754103126636, 9978291258961413222, -369823675874454342, 6961829325513039, -23264711918946, -182300720661, 242886276, -84839634, 594324, 4761, -12, 1], 1]], 'hecke_orbit_code': 13511554846687454, 'p': 59}
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id: 532717
{'charpoly_factorization': [[[180393338271965708578591296, -26096863098924686101018752, 4883943434044001615778240, -297854278477575831525888, 9482856711589531888128, -285496073841773582208, 8168734631248720704, -144180890847194736, 2056497882012304, -36105607931056, 262550863424, 1636151576, 1898113, 358756, -10027, -38, 1], 1]], 'hecke_orbit_code': 13511554846687454, 'p': 61}
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id: 532718
{'charpoly_factorization': [[[44965685251207726952490851904, -4744028246800979026501377696, 176747497530141422696855256, -1045602788211894156531012, -86169940133438316050631, 1230577147676528176050, 35836819644766238190, -805476926570328228, -4322085737181122, 194793486345468, 288849924922, -35127932442, 141382950, 2442792, -12698, -132, 1], 1]], 'hecke_orbit_code': 13511554846687454, 'p': 67}
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id: 532719
{'charpoly_factorization': [[[950829407583228079953186816, 59343157207100802516129792, 5871208283250762361738752, 36362254727658478678272, 8256450493972702291008, -36539797469584320960, 9958973684310043104, -114601014011588064, 5077918082969920, -40366042694992, 1406283145000, -10512386440, 238311952, -894124, 17878, -34, 1], 1]], 'hecke_orbit_code': 13511554846687454, 'p': 71}
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id: 532720
{'charpoly_factorization': [[[808771588426223893170014607616, 0, 1587418993171941918218354816, 0, 1216162169295152116146256, 0, 486944743800496399136, 0, 112899033716667964, 0, 15644641050488, 0, 1271366653, 0, 55538, 0, 1], 1]], 'hecke_orbit_code': 13511554846687454, 'p': 73}
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id: 532721
{'charpoly_factorization': [[[710476057076876645264757196864, 157336846234059784107549040736, 12937010223559362363610485800, 489392405175689349425974572, 10470839559633326301013625, 166678685667263644047316, 2064808029480934891834, 14601773315325950862, 175038364014557266, 111528044880210, -836692093898, -24005823556, -417789946, -107490, 1502, 46, 1], 1]], 'hecke_orbit_code': 13511554846687454, 'p': 79}
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id: 532722
{'charpoly_factorization': [[[9704529698650711025474617344, 915691612223110372211146752, 86462537074279751494794240, 2203319366042505472355328, 111181003544568146530368, 1583572087415962959744, 104624820058645048320, 959814859331018688, 32496412491073216, 230587703210944, 6947799077248, 42970235344, 657219328, 2739016, 37600, 136, 1], 1]], 'hecke_orbit_code': 13511554846687454, 'p': 83}
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id: 532723
{'charpoly_factorization': [[[994755924003521433859605504, 113563122938100408489412608, -5791404417170311853293824, -683949593575581049866240, 17809389081672465761664, 91785979572288248256, 58338676428443290704, 359861560348949568, 5837666995048684, 112979281631636, -760597777606, -2271146278, -50015645, -1938590, 29999, -152, 1], 1]], 'hecke_orbit_code': 13511554846687454, 'p': 89}
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id: 532724
{'charpoly_factorization': [[[474136741901773040800318184601, -10285055742448941726730259610, 111552598941168850717846050, 52373855674301006963959704, 3455045593573543749752373, 64686108282222875953644, 676578729042267565518, 5899079681558637294, 165621889971492148, 2966490137276318, 30597554984750, 165688868444, 792189133, 7085776, 72962, 382, 1], 1]], 'hecke_orbit_code': 13511554846687454, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 12, 'hecke_orbit': 4, 'label': '222.3.l.d', 'level': 222, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 37201771
{'hecke_orbit_code': 13511554846687454, 'n': 1, 'trace_an': 16}
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id: 37201772
{'hecke_orbit_code': 13511554846687454, 'n': 2, 'trace_an': 8}
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id: 37201773
{'hecke_orbit_code': 13511554846687454, 'n': 3, 'trace_an': 24}
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id: 37201774
{'hecke_orbit_code': 13511554846687454, 'n': 4, 'trace_an': 0}
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id: 37201775
{'hecke_orbit_code': 13511554846687454, 'n': 5, 'trace_an': 6}
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id: 37201776
{'hecke_orbit_code': 13511554846687454, 'n': 6, 'trace_an': 0}
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id: 37201777
{'hecke_orbit_code': 13511554846687454, 'n': 7, 'trace_an': -14}
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id: 37201778
{'hecke_orbit_code': 13511554846687454, 'n': 8, 'trace_an': 32}
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id: 37201779
{'hecke_orbit_code': 13511554846687454, 'n': 9, 'trace_an': 24}
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id: 37201780
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