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{'Nk2': 14580, 'analytic_conductor': 82.44993930505186, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 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': [45, 1, [11, 37], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 849, 'field_disc_factorization': [[3, 1], [283, 1]], 'field_poly': [-212, -1, 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, [-243392, -356, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599929360429, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 36, 'hecke_ring_index_factorization': [[2, 2], [3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '45.18.a.b', 'level': 45, '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': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '15.18.a.a', 'nf_label': '2.2.849.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(178-\\beta )q^{2}+(175688-356\\beta )q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '17.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '45.18.a', 'trace_display': [356, 0, -781250, -20754552], 'trace_hash': 1080333128015640499, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.025', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.014', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.142', 'prec': 17}, 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mf_hecke_cc • Show schema
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{'ALdims': [6, 6, 9, 8], 'Nk2': 14580, 'analytic_conductor': 82.44993930505186, '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': [45, 1, [11, 37], [1, 1]], 'conrey_index': 1, 'cusp_dim': 98, 'dim': 29, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 301989933, 'hecke_orbit_dims': [2, 2, 3, 3, 3, 4, 6, 6], 'label': '45.18.a', 'level': 45, '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': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 106, 'mf_new_dim': 29, 'num_forms': 8, 'plus_dim': 14, 'prim_orbit_index': 1, 'relative_dim': 29, 'sturm_bound': 108, 'trace_bound': 2, 'trace_display': [286, 0, -390625, 20354440], 'traces': [29, 286, 0, 2031680, -390625, 0, 20354440, 204595932, 0, 419531250, -1022680364, 0, 5451754558, 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mf_twists_cc • Show schema
Hide schema
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id: 34484183
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599929360429, 'source_is_minimal': False, 'source_label': '45.18.a.b.1.2', 'source_level': 45, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503599929360429, 'target_is_minimal': False, 'target_label': '45.18.a.b.1.2', 'target_level': 45, 'twist_class_label': '15.18.a.a.1.1', 'twist_class_level': 15, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 18}
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id: 34484184
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599929360429, 'source_is_minimal': False, 'source_label': '45.18.a.b.1.2', 'source_level': 45, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 301989903, 'target_is_minimal': True, 'target_label': '15.18.a.a.1.1', 'target_level': 15, 'twist_class_label': '15.18.a.a.1.1', 'twist_class_level': 15, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 18}
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id: 34484185
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599929360429, 'source_is_minimal': False, 'source_label': '45.18.a.b.1.2', 'source_level': 45, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503668648837195, 'target_is_minimal': False, 'target_label': '75.18.b.b.49.1', 'target_level': 75, 'twist_class_label': '15.18.a.a.1.1', 'twist_class_level': 15, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 18}
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id: 34484186
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599929360429, 'source_is_minimal': False, 'source_label': '45.18.a.b.1.2', 'source_level': 45, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503668648837195, 'target_is_minimal': False, 'target_label': '75.18.b.b.49.4', 'target_level': 75, 'twist_class_label': '15.18.a.a.1.1', 'twist_class_level': 15, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 18}
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id: 34484187
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503599929360429, 'source_is_minimal': False, 'source_label': '45.18.a.b.1.2', 'source_level': 45, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007199556730955, 'target_is_minimal': False, 'target_label': '75.18.a.c.1.2', 'target_level': 75, 'twist_class_label': '15.18.a.a.1.1', 'twist_class_level': 15, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 18}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 152875
{'charpoly_factorization': [[[-243392, -356, 1], 1]], 'hecke_orbit_code': 4503599929360429, 'p': 2}
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id: 152876
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503599929360429, 'p': 3}
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id: 152877
{'charpoly_factorization': [[[390625, 1], 2]], 'hecke_orbit_code': 4503599929360429, 'p': 5}
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id: 152878
{'charpoly_factorization': [[[48359851706880, 20754552, 1], 1]], 'hecke_orbit_code': 4503599929360429, 'p': 7}
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id: 152879
{'charpoly_factorization': [[[143310107609914192, -1131629912, 1], 1]], 'hecke_orbit_code': 4503599929360429, 'p': 11}
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id: 152880
{'charpoly_factorization': [[[-9180889561005131372, 446672524, 1], 1]], 'hecke_orbit_code': 4503599929360429, 'p': 13}
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id: 152881
{'charpoly_factorization': [[[100384076194714560724, 20662021036, 1], 1]], 'hecke_orbit_code': 4503599929360429, 'p': 17}
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id: 152882
{'charpoly_factorization': [[[8801779818354668290480, 194376127216, 1], 1]], 'hecke_orbit_code': 4503599929360429, 'p': 19}
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id: 152883
{'charpoly_factorization': [[[19165285626237122480640, 281815042584, 1], 1]], 'hecke_orbit_code': 4503599929360429, 'p': 23}
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id: 152884
{'charpoly_factorization': [[[-799780991077147718685500, -4737062625892, 1], 1]], 'hecke_orbit_code': 4503599929360429, 'p': 29}
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id: 152885
{'charpoly_factorization': [[[-41183601367841829879379200, -2256407074872, 1], 1]], 'hecke_orbit_code': 4503599929360429, 'p': 31}
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id: 152886
{'charpoly_factorization': [[[-117627977791638355249515020, 33686114979452, 1], 1]], 'hecke_orbit_code': 4503599929360429, 'p': 37}
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id: 152887
{'charpoly_factorization': [[[41596866387634941952200580, -13051545859228, 1], 1]], 'hecke_orbit_code': 4503599929360429, 'p': 41}
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id: 152888
{'charpoly_factorization': [[[-1391420457745481971620602096, 33149929851400, 1], 1]], 'hecke_orbit_code': 4503599929360429, 'p': 43}
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id: 152889
{'charpoly_factorization': [[[-8296715523647619392857691264, 84299585768440, 1], 1]], 'hecke_orbit_code': 4503599929360429, 'p': 47}
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id: 152890
{'charpoly_factorization': [[[-517619135818083149840961685820, 155836696419964, 1], 1]], 'hecke_orbit_code': 4503599929360429, 'p': 53}
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id: 152891
{'charpoly_factorization': [[[-1007193273667271416381715120, 963392423116456, 1], 1]], 'hecke_orbit_code': 4503599929360429, 'p': 59}
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id: 152892
{'charpoly_factorization': [[[2025887713409115968867253231076, 2858793214972660, 1], 1]], 'hecke_orbit_code': 4503599929360429, 'p': 61}
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id: 152893
{'charpoly_factorization': [[[6185542421182030516566550443024, -6027859197776136, 1], 1]], 'hecke_orbit_code': 4503599929360429, 'p': 67}
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id: 152894
{'charpoly_factorization': [[[-65950146681192403673370008655296, 2206536655060304, 1], 1]], 'hecke_orbit_code': 4503599929360429, 'p': 71}
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id: 152895
{'charpoly_factorization': [[[80734743174433957112825338205380, 18626002136017276, 1], 1]], 'hecke_orbit_code': 4503599929360429, 'p': 73}
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id: 152896
{'charpoly_factorization': [[[-86794602535907215846897446403200, -4997891097934440, 1], 1]], 'hecke_orbit_code': 4503599929360429, 'p': 79}
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id: 152897
{'charpoly_factorization': [[[-293112444581800957332427373937648, -23351553482511288, 1], 1]], 'hecke_orbit_code': 4503599929360429, 'p': 83}
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id: 152898
{'charpoly_factorization': [[[574336849874657341062768116239620, -60857257652216796, 1], 1]], 'hecke_orbit_code': 4503599929360429, 'p': 89}
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id: 152899
{'charpoly_factorization': [[[-10500283965630779495429161398054716, -42869862659782756, 1], 1]], 'hecke_orbit_code': 4503599929360429, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '45.18.a.b', 'level': 45, 'portrait': 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', 'weight': 18}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 19957140
{'hecke_orbit_code': 4503599929360429, 'n': 1, 'trace_an': 2}
-
id: 19957141
{'hecke_orbit_code': 4503599929360429, 'n': 2, 'trace_an': 356}
-
id: 19957142
{'hecke_orbit_code': 4503599929360429, 'n': 3, 'trace_an': 0}
-
id: 19957143
{'hecke_orbit_code': 4503599929360429, 'n': 4, 'trace_an': 351376}
-
id: 19957144
{'hecke_orbit_code': 4503599929360429, 'n': 5, 'trace_an': -781250}
-
id: 19957145
{'hecke_orbit_code': 4503599929360429, 'n': 6, 'trace_an': 0}
-
id: 19957146
{'hecke_orbit_code': 4503599929360429, 'n': 7, 'trace_an': -20754552}
-
id: 19957147
{'hecke_orbit_code': 4503599929360429, 'n': 8, 'trace_an': 211737408}
-
id: 19957148
{'hecke_orbit_code': 4503599929360429, 'n': 9, 'trace_an': 0}
-
id: 19957149
{'hecke_orbit_code': 4503599929360429, 'n': 10, 'trace_an': -139062500}
-
id: 19957150
{'hecke_orbit_code': 4503599929360429, 'n': 11, 'trace_an': 1131629912}
-
id: 19957151
{'hecke_orbit_code': 4503599929360429, 'n': 12, 'trace_an': 0}
-
id: 19957152
{'hecke_orbit_code': 4503599929360429, 'n': 13, 'trace_an': -446672524}
-
id: 19957153
{'hecke_orbit_code': 4503599929360429, 'n': 14, 'trace_an': 4385222016}
-
id: 19957154
{'hecke_orbit_code': 4503599929360429, 'n': 15, 'trace_an': 0}
-
id: 19957155
{'hecke_orbit_code': 4503599929360429, 'n': 16, 'trace_an': 51041317120}
-
id: 19957156
{'hecke_orbit_code': 4503599929360429, 'n': 17, 'trace_an': -20662021036}
-
id: 19957157
{'hecke_orbit_code': 4503599929360429, 'n': 18, 'trace_an': 0}
-
id: 19957158
{'hecke_orbit_code': 4503599929360429, 'n': 19, 'trace_an': -194376127216}
-
id: 19957159
{'hecke_orbit_code': 4503599929360429, 'n': 20, 'trace_an': -137256250000}
-
id: 19957160
{'hecke_orbit_code': 4503599929360429, 'n': 21, 'trace_an': 0}
-
id: 19957161
{'hecke_orbit_code': 4503599929360429, 'n': 22, 'trace_an': 642535396112}
-
id: 19957162
{'hecke_orbit_code': 4503599929360429, 'n': 23, 'trace_an': -281815042584}
-
id: 19957163
{'hecke_orbit_code': 4503599929360429, 'n': 24, 'trace_an': 0}
-
id: 19957164
{'hecke_orbit_code': 4503599929360429, 'n': 25, 'trace_an': 305175781250}
-
id: 19957165
{'hecke_orbit_code': 4503599929360429, 'n': 26, 'trace_an': 3107442504536}
-
id: 19957166
{'hecke_orbit_code': 4503599929360429, 'n': 27, 'trace_an': 0}
-
id: 19957167
{'hecke_orbit_code': 4503599929360429, 'n': 28, 'trace_an': -770012242944}
-
id: 19957168
{'hecke_orbit_code': 4503599929360429, 'n': 29, 'trace_an': 4737062625892}
-
id: 19957169
{'hecke_orbit_code': 4503599929360429, 'n': 30, 'trace_an': 0}
-
id: 19957170
{'hecke_orbit_code': 4503599929360429, 'n': 31, 'trace_an': 2256407074872}
-
id: 19957171
{'hecke_orbit_code': 4503599929360429, 'n': 32, 'trace_an': 24479953196032}
-
id: 19957172
{'hecke_orbit_code': 4503599929360429, 'n': 33, 'trace_an': 0}
-
id: 19957173
{'hecke_orbit_code': 4503599929360429, 'n': 34, 'trace_an': -6320225301928}
-
id: 19957174
{'hecke_orbit_code': 4503599929360429, 'n': 35, 'trace_an': 8107246875000}
-
id: 19957175
{'hecke_orbit_code': 4503599929360429, 'n': 36, 'trace_an': 0}
-
id: 19957176
{'hecke_orbit_code': 4503599929360429, 'n': 37, 'trace_an': -33686114979452}
-
id: 19957177
{'hecke_orbit_code': 4503599929360429, 'n': 38, 'trace_an': -61213036677904}
-
id: 19957178
{'hecke_orbit_code': 4503599929360429, 'n': 39, 'trace_an': 0}
-
id: 19957179
{'hecke_orbit_code': 4503599929360429, 'n': 40, 'trace_an': -82709925000000}
-
id: 19957180
{'hecke_orbit_code': 4503599929360429, 'n': 41, 'trace_an': 13051545859228}
-
id: 19957181
{'hecke_orbit_code': 4503599929360429, 'n': 42, 'trace_an': 0}
-
id: 19957182
{'hecke_orbit_code': 4503599929360429, 'n': 43, 'trace_an': -33149929851400}
-
id: 19957183
{'hecke_orbit_code': 4503599929360429, 'n': 44, 'trace_an': 355847272731712}
-
id: 19957184
{'hecke_orbit_code': 4503599929360429, 'n': 45, 'trace_an': 0}
-
id: 19957185
{'hecke_orbit_code': 4503599929360429, 'n': 46, 'trace_an': -22616426690688}
-
id: 19957186
{'hecke_orbit_code': 4503599929360429, 'n': 47, 'trace_an': -84299585768440}
-
id: 19957187
{'hecke_orbit_code': 4503599929360429, 'n': 48, 'trace_an': 0}
-
id: 19957188
{'hecke_orbit_code': 4503599929360429, 'n': 49, 'trace_an': -131229302667470}
-
id: 19957189
{'hecke_orbit_code': 4503599929360429, 'n': 50, 'trace_an': 54321289062500}
-
id: 19957190
{'hecke_orbit_code': 4503599929360429, 'n': 51, 'trace_an': 0}
-
id: 19957191
{'hecke_orbit_code': 4503599929360429, 'n': 52, 'trace_an': 1056079273719136}
-
id: 19957192
{'hecke_orbit_code': 4503599929360429, 'n': 53, 'trace_an': -155836696419964}
-
id: 19957193
{'hecke_orbit_code': 4503599929360429, 'n': 54, 'trace_an': 0}
-
id: 19957194
{'hecke_orbit_code': 4503599929360429, 'n': 55, 'trace_an': -442042934375000}
-
id: 19957195
{'hecke_orbit_code': 4503599929360429, 'n': 56, 'trace_an': -1324797309480960}
-
id: 19957196
{'hecke_orbit_code': 4503599929360429, 'n': 57, 'trace_an': 0}
-
id: 19957197
{'hecke_orbit_code': 4503599929360429, 'n': 58, 'trace_an': 3498878281127368}
-
id: 19957198
{'hecke_orbit_code': 4503599929360429, 'n': 59, 'trace_an': -963392423116456}
-
id: 19957199
{'hecke_orbit_code': 4503599929360429, 'n': 60, 'trace_an': 0}
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