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{'Nk2': 4904, 'analytic_conductor': 9.789659287808975, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [613, -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': [1226, 1, [615], [1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 17, 'field_disc': 27831525560328891163259269187139008, 'field_disc_factorization': [[2, 6], [1259, 1], [660157, 1], [52708049, 1], [9926751145473881, 1]], 'field_poly': [-320, 2384, 7000, -8368, -24446, 9753, 33062, -6336, -21974, 3456, 7700, -1398, -1382, 291, 120, -28, -4, 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': [[3, [-320, 2384, 7000, -8368, -24446, 9753, 33062, -6336, -21974, 3456, 7700, -1398, -1382, 291, 120, -28, -4, 1]], [5, [65328, 30556, -399735, -49290, 689898, 70395, -524311, -67357, 199294, 30607, -40083, -6841, 4315, 789, -234, -45, 5, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543037642, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], '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': '1226.2.a.e', 'level': 1226, '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, 613], 'level_radical': 1226, 'minimal_twist': '1226.2.a.e', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+\\beta _{1}q^{3}+q^{4}+\\beta _{9}q^{5}-\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 17, 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mf_newspaces • Show schema
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{'ALdims': [9, 17, 19, 7], 'Nk2': 4904, 'analytic_conductor': 9.789659287808975, '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': [1226, 1, [615], [1]], 'conrey_index': 1, 'cusp_dim': 152, 'dim': 52, 'eis_dim': 3, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 33555658, 'hecke_orbit_dims': [2, 3, 4, 7, 17, 19], 'label': '1226.2.a', 'level': 1226, '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, 613], 'level_radical': 1226, 'mf_dim': 155, 'mf_new_dim': 52, 'num_forms': 6, 'plus_dim': 16, 'prim_orbit_index': 1, 'relative_dim': 52, 'sturm_bound': 307, 'trace_bound': 1, 'trace_display': [0, -2, 0, 4], 'traces': [52, 0, -2, 52, 0, -4, 4, 0, 46, 2, 0, -2, 12, -4, -16, 52, 0, 0, 14, 0, -8, -2, -8, -4, 58, 14, -20, 4, -6, 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-128, 98, 100, 176, -4, 236, 120, 214, -52, -176, -216, -120, -10, 46, 180, -212, -32, -16, -28, -116, -4, -140, -8, -84, -4, 88, -44, -324, -32, -300, -110, -68, -40, 184, 0, 112, -16, 104, 60, -180, -32, -180, 124, 8, -88, 48, -8, 236, -142, 152, 66, -356, 18, -32, 232, 48, -180, -148, -126, -88, -52, 272, 64, -28, -12, -352, 68, 248, 12, -220, -88, 72, -100, 32, -66, -24, 48], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 43888880
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 17, 'source_embedding_index': 7, 'source_hecke_orbit_code': 18014398543037642, 'source_is_minimal': True, 'source_label': '1226.2.a.e.1.7', 'source_level': 1226, 'target_conrey_index': 1, 'target_dim': 17, 'target_embedding_index': 7, 'target_hecke_orbit_code': 18014398543037642, 'target_is_minimal': True, 'target_label': '1226.2.a.e.1.7', 'target_level': 1226, 'twist_class_label': '1226.2.a.e.1.7', 'twist_class_level': 1226, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43888881
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 17, 'source_embedding_index': 7, 'source_hecke_orbit_code': 18014398543037642, 'source_is_minimal': True, 'source_label': '1226.2.a.e.1.7', 'source_level': 1226, 'target_conrey_index': 1, 'target_dim': 17, 'target_embedding_index': 11, 'target_hecke_orbit_code': 22517998170416720, 'target_is_minimal': False, 'target_label': '9808.2.a.f.1.11', 'target_level': 9808, 'twist_class_label': '1226.2.a.e.1.7', 'twist_class_level': 1226, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1786900
{'charpoly_factorization': [[[1, 1], 17]], 'hecke_orbit_code': 18014398543037642, 'p': 2}
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id: 1786901
{'charpoly_factorization': [[[-320, 2384, 7000, -8368, -24446, 9753, 33062, -6336, -21974, 3456, 7700, -1398, -1382, 291, 120, -28, -4, 1], 1]], 'hecke_orbit_code': 18014398543037642, 'p': 3}
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id: 1786902
{'charpoly_factorization': [[[65328, 30556, -399735, -49290, 689898, 70395, -524311, -67357, 199294, 30607, -40083, -6841, 4315, 789, -234, -45, 5, 1], 1]], 'hecke_orbit_code': 18014398543037642, 'p': 5}
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id: 1786903
{'charpoly_factorization': [[[1470464, -4968448, 683008, 9994240, -4603904, -6477568, 3761792, 1695936, -1244432, -154504, 190136, -2652, -14236, 1164, 510, -61, -7, 1], 1]], 'hecke_orbit_code': 18014398543037642, 'p': 7}
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id: 1786904
{'charpoly_factorization': [[[-488448, 4989440, 4488192, -29760128, -36616768, 17772736, 28585616, -4707912, -7556728, 823696, 801280, -84446, -39698, 4429, 918, -109, -8, 1], 1]], 'hecke_orbit_code': 18014398543037642, 'p': 11}
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id: 1786905
{'charpoly_factorization': [[[-418084, 14752230, 110260395, 24396072, -131233388, -15981303, 48571739, 2435567, -8427670, 30693, 771079, -34295, -37777, 2807, 930, -89, -9, 1], 1]], 'hecke_orbit_code': 18014398543037642, 'p': 13}
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id: 1786906
{'charpoly_factorization': [[[905664, -5862592, -11998064, 82423088, -99874316, 11390036, 41411291, -15634713, -5478706, 3001998, 271907, -232021, -4271, 8561, -34, -150, 1, 1], 1]], 'hecke_orbit_code': 18014398543037642, 'p': 17}
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id: 1786907
{'charpoly_factorization': [[[2364160, -18498112, 19922444, 92861366, -192943803, 44266141, 109912010, -68161908, -2203009, 11994418, -3195695, -62108, 158274, -24155, 44, 326, -32, 1], 1]], 'hecke_orbit_code': 18014398543037642, 'p': 19}
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id: 1786908
{'charpoly_factorization': [[[-3072000, -3217552, 42907876, -4180343, -152103499, 140835631, 20337322, -48371000, 2585588, 6065228, -515732, -356501, 28165, 10739, -628, -163, 5, 1], 1]], 'hecke_orbit_code': 18014398543037642, 'p': 23}
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id: 1786909
{'charpoly_factorization': [[[2585075712, -18325792768, 34322464768, -10062746112, -13428610816, 5013175296, 2072539072, -715370912, -152703648, 47569352, 5653632, -1656052, -105720, 30624, 930, -281, -3, 1], 1]], 'hecke_orbit_code': 18014398543037642, 'p': 29}
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id: 1786910
{'charpoly_factorization': [[[64681746460, -210078256466, 211101930545, -8018228628, -118253565240, 78217533209, -17747426747, -938535239, 1150729148, -152670765, -13955605, 4977213, -213485, -48415, 5246, 43, -27, 1], 1]], 'hecke_orbit_code': 18014398543037642, 'p': 31}
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id: 1786911
{'charpoly_factorization': [[[953335808, 556236800, -1646033920, -955358208, 839058688, 487621632, -182302272, -113183296, 17215296, 13229624, -439504, -761108, -22492, 19272, 876, -219, -7, 1], 1]], 'hecke_orbit_code': 18014398543037642, 'p': 37}
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id: 1786912
{'charpoly_factorization': [[[-41960355, 246584549, 1258122215, -8290098865, 6811435950, 3026439595, -3089881432, -651544828, 424885340, 86835887, -16151235, -3609259, 217788, 58052, -1158, -401, 2, 1], 1]], 'hecke_orbit_code': 18014398543037642, 'p': 41}
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id: 1786913
{'charpoly_factorization': [[[4355948336, -93970650672, -114535335532, 95332523344, 65164361857, -31754042625, -10216845066, 3810572508, 564114073, -218518302, -8894059, 6186544, -166466, -76699, 5704, 230, -36, 1], 1]], 'hecke_orbit_code': 18014398543037642, 'p': 43}
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id: 1786914
{'charpoly_factorization': [[[-3740209152, -10125617152, -5774411776, 4748500992, 4730336768, -345053952, -1063932160, -69516320, 104609216, 12369048, -5062304, -749064, 120484, 20810, -1226, -255, 3, 1], 1]], 'hecke_orbit_code': 18014398543037642, 'p': 47}
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id: 1786915
{'charpoly_factorization': [[[-201706006272, 714121997312, -387698032064, -583816625536, 194181759952, 117402341520, -35663691128, -7870736188, 2517839647, 203753764, -73241481, -3241861, 1054761, 40463, -7467, -323, 20, 1], 1]], 'hecke_orbit_code': 18014398543037642, 'p': 53}
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id: 1786916
{'charpoly_factorization': [[[4951223159808, -1140677046272, -3055423732992, 1241424467712, 317765464000, -190648122432, -8688209888, 12567012760, -340942096, -428248920, 27673520, 7655722, -705742, -62349, 8038, 83, -34, 1], 1]], 'hecke_orbit_code': 18014398543037642, 'p': 59}
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id: 1786917
{'charpoly_factorization': [[[-7701165838336, -25849194850304, -21720813164544, -1458212073984, 3675705784064, 383722731776, -302283668928, -10938878144, 13545405984, -610740376, -265100640, 31088180, 679828, -279000, 11100, 529, -49, 1], 1]], 'hecke_orbit_code': 18014398543037642, 'p': 61}
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id: 1786918
{'charpoly_factorization': [[[-15773024744656, 18459399062088, -3156166363568, -3897438737866, 1765865234907, -6237211791, -122272194342, 16056803564, 2986662801, -719179762, -13760361, 13087240, -555910, -100239, 8664, 150, -36, 1], 1]], 'hecke_orbit_code': 18014398543037642, 'p': 67}
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id: 1786919
{'charpoly_factorization': [[[461374586880, -3713085884416, 6610801247232, 431720138752, -4272034541312, 794680932864, 314854849280, -70440680416, -7975681088, 2134812280, 84174320, -29802204, -359520, 210492, 306, -733, 1, 1], 1]], 'hecke_orbit_code': 18014398543037642, 'p': 71}
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id: 1786920
{'charpoly_factorization': [[[-11070767104, 206395596800, -855733018624, 1453376524288, -1231002126336, 557043383808, -125665840384, 5230178048, 3911906944, -793543456, 13604048, 12063816, -1148600, -39864, 9976, -222, -24, 1], 1]], 'hecke_orbit_code': 18014398543037642, 'p': 73}
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id: 1786921
{'charpoly_factorization': [[[7473765257216, -170917424059968, -43781970951736, 35934129409979, 6841850055431, -3145636909895, -353321347100, 144518434126, 5666996670, -3494033176, 46901404, 41449861, -2035521, -204093, 16912, 153, -43, 1], 1]], 'hecke_orbit_code': 18014398543037642, 'p': 79}
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id: 1786922
{'charpoly_factorization': [[[47380113408, 367440408064, 566437899520, -431446568064, -317282646784, 99900227616, 36725025856, -8563638712, -1802474128, 351431948, 44589912, -7558418, -582420, 86069, 3832, -481, -10, 1], 1]], 'hecke_orbit_code': 18014398543037642, 'p': 83}
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id: 1786923
{'charpoly_factorization': [[[108087333230963067, 2777548646407331, -17374733692249387, -842343441727981, 971697040985440, 60833174449373, -24679867990334, -1789482970020, 310874757822, 24284873341, -2110148723, -171404109, 7889286, 653108, -15296, -1275, 12, 1], 1]], 'hecke_orbit_code': 18014398543037642, 'p': 89}
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id: 1786924
{'charpoly_factorization': [[[21464492749201, 11990730791341, -23606607873993, 5442314465275, 2178536918450, -887854480837, -33318225192, 47402451188, -2815109524, -1107241113, 125724237, 10642789, -1921200, -16396, 12202, -285, -26, 1], 1]], 'hecke_orbit_code': 18014398543037642, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '1226.2.a.e', 'level': 1226, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 38052655
{'hecke_orbit_code': 18014398543037642, 'n': 1, 'trace_an': 17}
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id: 38052656
{'hecke_orbit_code': 18014398543037642, 'n': 2, 'trace_an': -17}
-
id: 38052657
{'hecke_orbit_code': 18014398543037642, 'n': 3, 'trace_an': 4}
-
id: 38052658
{'hecke_orbit_code': 18014398543037642, 'n': 4, 'trace_an': 17}
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id: 38052659
{'hecke_orbit_code': 18014398543037642, 'n': 5, 'trace_an': -5}
-
id: 38052660
{'hecke_orbit_code': 18014398543037642, 'n': 6, 'trace_an': -4}
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id: 38052661
{'hecke_orbit_code': 18014398543037642, 'n': 7, 'trace_an': 7}
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id: 38052662
{'hecke_orbit_code': 18014398543037642, 'n': 8, 'trace_an': -17}
-
id: 38052663
{'hecke_orbit_code': 18014398543037642, 'n': 9, 'trace_an': 21}
-
id: 38052664
{'hecke_orbit_code': 18014398543037642, 'n': 10, 'trace_an': 5}
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id: 38052665
{'hecke_orbit_code': 18014398543037642, 'n': 11, 'trace_an': 8}
-
id: 38052666
{'hecke_orbit_code': 18014398543037642, 'n': 12, 'trace_an': 4}
-
id: 38052667
{'hecke_orbit_code': 18014398543037642, 'n': 13, 'trace_an': 9}
-
id: 38052668
{'hecke_orbit_code': 18014398543037642, 'n': 14, 'trace_an': -7}
-
id: 38052669
{'hecke_orbit_code': 18014398543037642, 'n': 15, 'trace_an': -4}
-
id: 38052670
{'hecke_orbit_code': 18014398543037642, 'n': 16, 'trace_an': 17}
-
id: 38052671
{'hecke_orbit_code': 18014398543037642, 'n': 17, 'trace_an': -1}
-
id: 38052672
{'hecke_orbit_code': 18014398543037642, 'n': 18, 'trace_an': -21}
-
id: 38052673
{'hecke_orbit_code': 18014398543037642, 'n': 19, 'trace_an': 32}
-
id: 38052674
{'hecke_orbit_code': 18014398543037642, 'n': 20, 'trace_an': -5}
-
id: 38052675
{'hecke_orbit_code': 18014398543037642, 'n': 21, 'trace_an': 6}
-
id: 38052676
{'hecke_orbit_code': 18014398543037642, 'n': 22, 'trace_an': -8}
-
id: 38052677
{'hecke_orbit_code': 18014398543037642, 'n': 23, 'trace_an': -5}
-
id: 38052678
{'hecke_orbit_code': 18014398543037642, 'n': 24, 'trace_an': -4}
-
id: 38052679
{'hecke_orbit_code': 18014398543037642, 'n': 25, 'trace_an': 30}
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id: 38052680
{'hecke_orbit_code': 18014398543037642, 'n': 26, 'trace_an': -9}
-
id: 38052681
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