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mf_newforms • Show schema
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{'Nk2': 1530, 'analytic_conductor': 4.632164494125047, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 85, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 4, 'char_parity': -1, 'char_values': [170, 4, [137, 71], [3, 1]], 'cm_discs': [], 'conrey_index': 13, 'dim': 16, 'field_disc': 115783851872057695436624279392328089600, 'field_disc_factorization': [[2, 28], [5, 2], [193, 2], [6263, 2], [108666163, 2]], 'field_poly': [148996, 0, 1253728, 0, 2895224, 0, 1518752, 0, 346464, 0, 40532, 0, 2532, 0, 80, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [148996, 0, 1253728, 0, 2895224, 0, 1518752, 0, 346464, 0, 40532, 0, 2532, 0, 80, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503874555609258, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 10, 'hecke_ring_index_factorization': [[2, 1], [5, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 85, 6, -1, 4, 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': '170.3.e.b', 'level': 170, '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, 5, 17], 'level_radical': 170, 'minimal_twist': '170.3.e.b', 'prim_orbit_index': 6, 'qexp_display': 'q+(1-\\beta _{5})q^{2}-\\beta _{1}q^{3}-2\\beta _{5}q^{4}-\\beta _{12}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '2.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '170.3.e', 'trace_display': [16, 0, -2, 0], 'trace_hash': 2257736987935040318, 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mf_hecke_cc • Show schema
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'hecke_orbit_code': 4503874555609258, 'label': '170.3.e.b.13.7', 'level': 170, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 1530, 'analytic_conductor': 4.632164494125047, 'char_conductor': 85, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 4, 'char_parity': -1, 'char_values': [170, 4, [137, 71], [3, 1]], 'conrey_index': 13, 'cusp_dim': 100, 'dim': 36, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 274928238762, 'hecke_orbit_dims': [2, 16, 18], 'label': '170.3.e', 'level': 170, '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, 5, 17], 'level_radical': 170, 'mf_dim': 116, 'mf_new_dim': 36, 'num_forms': 3, 'prim_orbit_index': 6, 'relative_dim': 18, 'sturm_bound': 81, 'trace_bound': 1, 'trace_display': [-4, 0, 6, 0], 'traces': [36, -4, 0, 0, 6, 0, 0, 8, -92, -4, 24, 0, 8, 0, 24, -144, 58, 60, 0, -20, 0, 32, -32, 0, 56, 0, 0, -48, -24, 0, 40, 16, 72, 60, -232, 0, 172, -32, 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mf_twists_cc • Show schema
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id: 35114022
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 13, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 4503874555609258, 'source_is_minimal': True, 'source_label': '170.3.e.b.13.7', 'source_level': 170, 'target_conrey_index': 13, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 4503874555609258, 'target_is_minimal': True, 'target_label': '170.3.e.b.13.7', 'target_level': 170, 'twist_class_label': '170.3.e.b.13.7', 'twist_class_level': 170, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 35114023
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 13, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 4503874555609258, 'source_is_minimal': True, 'source_label': '170.3.e.b.13.7', 'source_level': 170, 'target_conrey_index': 47, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 4504218152992938, 'target_is_minimal': True, 'target_label': '170.3.j.b.47.7', 'target_level': 170, 'twist_class_label': '170.3.e.b.13.7', 'twist_class_level': 170, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 35114024
{'conductor': 17, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 13, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 4503874555609258, 'source_is_minimal': True, 'source_label': '170.3.e.b.13.7', 'source_level': 170, 'target_conrey_index': 123, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 4504218152992938, 'target_is_minimal': True, 'target_label': '170.3.j.b.123.7', 'target_level': 170, 'twist_class_label': '170.3.e.b.13.7', 'twist_class_level': 170, 'twisting_char_label': '17.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 35114025
{'conductor': 85, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 13, 'source_dim': 16, 'source_embedding_index': 7, 'source_hecke_orbit_code': 4503874555609258, 'source_is_minimal': True, 'source_label': '170.3.e.b.13.7', 'source_level': 170, 'target_conrey_index': 157, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503874555609258, 'target_is_minimal': True, 'target_label': '170.3.e.b.157.2', 'target_level': 170, 'twist_class_label': '170.3.e.b.13.7', 'twist_class_level': 170, 'twisting_char_label': '85.72', 'twisting_conrey_index': 72, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 438625
{'charpoly_factorization': [[[2, -2, 1], 8]], 'hecke_orbit_code': 4503874555609258, 'p': 2}
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id: 438626
{'charpoly_factorization': [[[148996, 0, 1253728, 0, 2895224, 0, 1518752, 0, 346464, 0, 40532, 0, 2532, 0, 80, 0, 1], 1]], 'hecke_orbit_code': 4503874555609258, 'p': 3}
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id: 438627
{'charpoly_factorization': [[[152587890625, 12207031250, -4882812500, 1816406250, 162500000, -111406250, 12437500, 1668750, -1186250, 66750, 19900, -7130, 416, 186, -20, 2, 1], 1]], 'hecke_orbit_code': 4503874555609258, 'p': 5}
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id: 438628
{'charpoly_factorization': [[[84235684, 0, 30423003456, 0, 10651112312, 0, 1334325952, 0, 78686960, 0, 2428068, 0, 39868, 0, 324, 0, 1], 1]], 'hecke_orbit_code': 4503874555609258, 'p': 7}
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id: 438629
{'charpoly_factorization': [[[33057785124, 268057186488, 1086803833928, -1459573940064, 903489487560, -303125065664, 60722519664, -6597819328, 623973424, -116731300, 24875272, -2284128, 109904, -1532, 200, -20, 1], 1]], 'hecke_orbit_code': 4503874555609258, 'p': 11}
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id: 438630
{'charpoly_factorization': [[[179720728752016, 63504846539808, 11219811877152, -4532980560576, 2571055761536, 432803938736, 49589950944, -9762149232, 1085981016, 54029784, 9233096, -1951088, 189856, -2428, 8, -4, 1], 1]], 'hecke_orbit_code': 4503874555609258, 'p': 13}
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id: 438631
{'charpoly_factorization': [[[48661191875666868481, -6061601756138433444, 100211024803518892, 32602653358061228, -1978296907237836, -76222870541788, 9889162019300, 39920699412, -32392283514, 138133908, 118403300, -3157852, -283596, 16172, 172, -36, 1], 1]], 'hecke_orbit_code': 4503874555609258, 'p': 17}
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id: 438632
{'charpoly_factorization': [[[-3702760816, -712225120, 11561328, 9080000, 348576, -24464, -1436, 8, 1], 2]], 'hecke_orbit_code': 4503874555609258, 'p': 19}
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id: 438633
{'charpoly_factorization': [[[-35274650, -39767480, -13645340, -942768, 197254, 8370, -936, -8, 1], 2]], 'hecke_orbit_code': 4503874555609258, 'p': 23}
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id: 438634
{'charpoly_factorization': [[[22003290169891590400, -18341899334833710080, 7644885574192990208, -1074902390575818496, 82439295440222976, -2946238818926080, 68544749293696, -4739174001088, 537770710304, -18108345536, 203429568, 2255888, 1181904, -28096, 200, 20, 1], 1]], 'hecke_orbit_code': 4503874555609258, 'p': 29}
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id: 438635
{'charpoly_factorization': [[[3209553688296327765156, -667098622096096541544, 69327485192923077128, -1873773717758287272, 67899193550220744, -10145064093540672, 1188947836893688, -27568965488984, 460146278304, -34575567148, 4223358328, -93215684, 1169944, -34604, 4232, -92, 1], 1]], 'hecke_orbit_code': 4503874555609258, 'p': 31}
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id: 438636
{'charpoly_factorization': [[[573578476400, 10548404320, -4159198480, -63696352, 7315264, 61160, -4684, -16, 1], 2]], 'hecke_orbit_code': 4503874555609258, 'p': 37}
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id: 438637
{'charpoly_factorization': [[[153741954367590379592256, -104441945210904926352000, 35475417117948242000000, 9795787935603987545920, 1406601427161147373888, -18632757816572871168, 162608596519543200, 7075350073435712, 412988888480224, -4635267980368, 39938366592, 1334667000, 32677048, -193272, 1800, 60, 1], 1]], 'hecke_orbit_code': 4503874555609258, 'p': 41}
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id: 438638
{'charpoly_factorization': [[[309954742614971965531024, -116641348180476129754592, 21947081678081541063968, -2550058117102611721152, 200045866818218657760, -10849909387309256752, 408199207996360544, -10440873100809936, 192655794937720, -3748867549064, 114778551688, -2866432640, 41527896, -209140, 1352, -52, 1], 1]], 'hecke_orbit_code': 4503874555609258, 'p': 43}
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id: 438639
{'charpoly_factorization': [[[4962203591675455429521424, -2030888535122957108438176, 415592404250916424846112, -44517581842227533865056, 2943791589817173372224, -122684952253686001264, 3355280526179161856, -60045399616042176, 847230781408824, -16009792521912, 411022764616, -7028222472, 66543088, -287124, 6272, -112, 1], 1]], 'hecke_orbit_code': 4503874555609258, 'p': 47}
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id: 438640
{'charpoly_factorization': [[[3355847058264294400, 23110521872601825280, 79576961040091578368, -285710885271458902016, 516705029102826072576, 13112895628639307008, 174284582717607936, -14534294387187200, 917716512715392, 5521179831872, 36010798880, -1871085472, 66672992, 214504, 1152, -48, 1], 1]], 'hecke_orbit_code': 4503874555609258, 'p': 53}
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id: 438641
{'charpoly_factorization': [[[27492639236080, -718030712544, -97477691904, 637614720, 69474248, -68240, -15120, 0, 1], 2]], 'hecke_orbit_code': 4503874555609258, 'p': 59}
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id: 438642
{'charpoly_factorization': [[[638613884627030385889344, 3733256332182020242958976, 10912073145666801539841152, -252011536706334818985536, 2904461259639937912384, -15383842889508311808, 5921847000384630688, -147844060605689728, 1848437072662016, -1746280427152, 258629710656, -6655210376, 85733864, -29432, 2888, -76, 1], 1]], 'hecke_orbit_code': 4503874555609258, 'p': 61}
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id: 438643
{'charpoly_factorization': [[[31251629373232137191291200144, 516705893278255020195164896, 4271536964679980771923232, -397593039170012191190848, 365411037932605131569472, 4835421108818120477872, 32531549886042721440, -548691602086547440, 15923272836664792, 152093326045896, 1023558516616, -16718139856, 199478384, 923412, 6728, -116, 1], 1]], 'hecke_orbit_code': 4503874555609258, 'p': 67}
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id: 438644
{'charpoly_factorization': [[[29515279161407234024806964100, 5122257277938804858386663880, 444473512818811134433824392, 20587093300345325982481344, 598775174460999450184824, 11548258613168410907448, 166952573921419465984, 2380986145906955872, 43365139682477472, 744871101465244, 9230178884032, 72748436200, 408606664, 2969000, 35912, 268, 1], 1]], 'hecke_orbit_code': 4503874555609258, 'p': 71}
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id: 438645
{'charpoly_factorization': [[[25332321362110231893476416, 0, 2121518022672704527643776, 0, 10503340532019331391488, 0, 13488233104782976704, 0, 7754035083346432, 0, 2330049110144, 0, 378002488, 0, 31076, 0, 1], 1]], 'hecke_orbit_code': 4503874555609258, 'p': 73}
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id: 438646
{'charpoly_factorization': [[[5294549294153550134318149924, 1365588934191528021021283560, 176108770886841647498248200, 12670746018071434709914104, 579717298574467383828568, 17329982886847442018592, 348704709481695373272, 4642044419839970384, 40879793774288048, 281722363377708, 3323002951848, 46947582316, 407052776, 1239132, 3872, 88, 1], 1]], 'hecke_orbit_code': 4503874555609258, 'p': 79}
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id: 438647
{'charpoly_factorization': [[[17743905688522505906332944, -18252942399992403586670112, 9388291171795073255993888, 356137504381443601249632, 7253514875433398344416, -264496071826920162800, 8266664096488849216, 84239261521051584, 559498993235416, -13503777775384, 632307237128, 6837099112, 36789320, -136196, 12800, 160, 1], 1]], 'hecke_orbit_code': 4503874555609258, 'p': 83}
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id: 438648
{'charpoly_factorization': [[[2320531683051303651183282250000, 0, 17135103879726302845099640000, 0, 19801904087436539337278400, 0, 7631458834351062737856, 0, 1257955016578346440, 0, 105517483627392, 0, 4743212000, 0, 108816, 0, 1], 1]], 'hecke_orbit_code': 4503874555609258, 'p': 89}
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id: 438649
{'charpoly_factorization': [[[-146667506161200, -13917004590560, 797884726560, 56893220736, 514121672, -5416408, -47064, 128, 1], 2]], 'hecke_orbit_code': 4503874555609258, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 2, 'label': '170.3.e.b', 'level': 170, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 22147729
{'hecke_orbit_code': 4503874555609258, 'n': 1, 'trace_an': 16}
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id: 22147730
{'hecke_orbit_code': 4503874555609258, 'n': 2, 'trace_an': 16}
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id: 22147731
{'hecke_orbit_code': 4503874555609258, 'n': 3, 'trace_an': 0}
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id: 22147732
{'hecke_orbit_code': 4503874555609258, 'n': 4, 'trace_an': 0}
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id: 22147733
{'hecke_orbit_code': 4503874555609258, 'n': 5, 'trace_an': -2}
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id: 22147734
{'hecke_orbit_code': 4503874555609258, 'n': 6, 'trace_an': 0}
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id: 22147735
{'hecke_orbit_code': 4503874555609258, 'n': 7, 'trace_an': 0}
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