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{'Nk2': 12936, 'analytic_conductor': 25.823620013682078, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, -1], [11, -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': [3234, 1, [1079, 199, 2059], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 28, 'field_disc_factorization': [[2, 2], [7, 1]], 'field_poly': [-7, 0, 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': [[5, [-7, 0, 1]], [13, [-4, 1]], [17, [-3, 1]]], 'hecke_orbit': 27, 'hecke_orbit_code': 117093590345190562, 'hecke_ring_generator_nbound': 5, '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': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3234.2.a.ba', 'level': 3234, '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': [2, 3, 7, 11], 'level_radical': 462, 'minimal_twist': '462.2.i.e', 'nf_label': '2.2.28.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}+\\beta q^{5}-q^{6}-q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3234.2.a', 'trace_display': [-2, 2, 0, 0], 'trace_hash': 1161479522912297917, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.926', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.288', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '63.609', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.027', 'prec': 17}, 'traces': [2, -2, 2, 2, 0, -2, 0, -2, 2, 0, 2, 2, 8, 0, 0, 2, 6, -2, 0, 0, 0, -2, 0, -2, 4, -8, 2, 0, 4, 0, 8, -2, 2, -6, 0, 2, -8, 0, 8, 0, -18, 0, 8, 2, 0, 0, -8, 2, 0, -4, 6, 8, 8, -2, 0, 0, 0, -4, 8, 0, -8, -8, 0, 2, 0, -2, -6, 6, 0, 0, -16, -2, 20, 8, 4, 0, 0, -8, 16, 0, 2, 18, -10, 0, 0, -8, 4, -2, -16, 0, 0, 0, 8, 8, 28, -2, 2, 0, 2, 4, -4, -6, 20, -8, 0, -8, 18, 2, 8, 0, -8, 0, 4, 0, 14, 4, 8, -8, 0, 0, 2, 8, -18, 8, 0, 0, 0, -2, 8, 0, 16, 2, 0, 6, 0, -6, -16, 0, 4, 0, -8, 16, 8, 2, 0, -20, 0, -8, 8, -4, 40, 0, 6, 0, 0, 8, 12, -16, 8, 0, 0, -2, 10, -18, 0, 10, -28, 0, 6, 0, 0, 8, -8, -4, 0, 2, 8, 16, 20, 0, 0, 0, -8, 0, -28, -8, 6, -8, 0, -28, 24, 2, 0, -2, 0, 0, 12, -2, -4, -4, -6, 4, 0, 6, 0, -20, 0, 8, 0, 0, 32, 8, -16, 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-8, -40, -92, 0], 'weight': 2, 'weight_parity': 1}
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'embedding_root_imag': 0.0, 'embedding_root_real': -2.6457513110645907, 'hecke_orbit': 27, 'hecke_orbit_code': 117093590345190562, 'label': '3234.2.a.ba.1.1', 'level': 3234, 'weight': 2}
-
mf_newspaces • Show schema
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{'ALdims': [5, 4, 4, 4, 6, 3, 2, 5, 5, 4, 3, 6, 2, 7, 7, 1], 'Nk2': 12936, 'analytic_conductor': 25.823620013682078, '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': [3234, 1, [1079, 199, 2059], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 641, 'dim': 68, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13, 17], 'hecke_orbit_code': 33557666, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '3234.2.a', 'level': 3234, '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': [2, 3, 7, 11], 'level_radical': 462, 'mf_dim': 704, 'mf_new_dim': 68, 'num_forms': 39, 'plus_dim': 24, 'prim_orbit_index': 1, 'relative_dim': 68, 'sturm_bound': 1344, 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mf_twists_cc • Show schema
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id: 48601939
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 117093590345190562, 'source_is_minimal': False, 'source_label': '3234.2.a.ba.1.1', 'source_level': 3234, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 117093590345190562, 'target_is_minimal': False, 'target_label': '3234.2.a.ba.1.1', 'target_level': 3234, 'twist_class_label': '462.2.i.e.67.1', 'twist_class_level': 462, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48601940
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 117093590345190562, 'source_is_minimal': False, 'source_label': '3234.2.a.ba.1.1', 'source_level': 3234, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 405323966496908774, 'target_is_minimal': False, 'target_label': '9702.2.a.dm.1.2', 'target_level': 9702, 'twist_class_label': '462.2.i.e.67.1', 'twist_class_level': 462, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48601941
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 117093590345190562, 'source_is_minimal': False, 'source_label': '3234.2.a.ba.1.1', 'source_level': 3234, 'target_conrey_index': 331, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014948298850766, 'target_is_minimal': True, 'target_label': '462.2.i.e.331.1', 'target_level': 462, 'twist_class_label': '462.2.i.e.67.1', 'twist_class_level': 462, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48601942
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 117093590345190562, 'source_is_minimal': False, 'source_label': '3234.2.a.ba.1.1', 'source_level': 3234, 'target_conrey_index': 67, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014948298850766, 'target_is_minimal': True, 'target_label': '462.2.i.e.67.1', 'target_level': 462, 'twist_class_label': '462.2.i.e.67.1', 'twist_class_level': 462, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48601943
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 117093590345190562, 'source_is_minimal': False, 'source_label': '3234.2.a.ba.1.1', 'source_level': 3234, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 99079191835708578, 'target_is_minimal': False, 'target_label': '3234.2.a.w.1.2', 'target_level': 3234, 'twist_class_label': '462.2.i.e.67.1', 'twist_class_level': 462, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 48601944
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 117093590345190562, 'source_is_minimal': False, 'source_label': '3234.2.a.ba.1.1', 'source_level': 3234, 'target_conrey_index': 991, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561880893621610, 'target_is_minimal': False, 'target_label': '1386.2.k.r.991.2', 'target_level': 1386, 'twist_class_label': '462.2.i.e.67.1', 'twist_class_level': 462, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48601945
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 117093590345190562, 'source_is_minimal': False, 'source_label': '3234.2.a.ba.1.1', 'source_level': 3234, 'target_conrey_index': 793, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561880893621610, 'target_is_minimal': False, 'target_label': '1386.2.k.r.793.2', 'target_level': 1386, 'twist_class_label': '462.2.i.e.67.1', 'twist_class_level': 462, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 48601946
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 117093590345190562, 'source_is_minimal': False, 'source_label': '3234.2.a.ba.1.1', 'source_level': 3234, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 355784370595833318, 'target_is_minimal': False, 'target_label': '9702.2.a.db.1.1', 'target_level': 9702, 'twist_class_label': '462.2.i.e.67.1', 'twist_class_level': 462, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3074575
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 117093590345190562, 'p': 2}
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id: 3074576
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 117093590345190562, 'p': 3}
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id: 3074577
{'charpoly_factorization': [[[-7, 0, 1], 1]], 'hecke_orbit_code': 117093590345190562, 'p': 5}
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id: 3074578
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 117093590345190562, 'p': 7}
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id: 3074579
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 117093590345190562, 'p': 11}
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id: 3074580
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 117093590345190562, 'p': 13}
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id: 3074581
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 117093590345190562, 'p': 17}
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id: 3074582
{'charpoly_factorization': [[[-28, 0, 1], 1]], 'hecke_orbit_code': 117093590345190562, 'p': 19}
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id: 3074583
{'charpoly_factorization': [[[-7, 0, 1], 1]], 'hecke_orbit_code': 117093590345190562, 'p': 23}
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id: 3074584
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 117093590345190562, 'p': 29}
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id: 3074585
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 117093590345190562, 'p': 31}
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id: 3074586
{'charpoly_factorization': [[[-12, 8, 1], 1]], 'hecke_orbit_code': 117093590345190562, 'p': 37}
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id: 3074587
{'charpoly_factorization': [[[9, 1], 2]], 'hecke_orbit_code': 117093590345190562, 'p': 41}
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id: 3074588
{'charpoly_factorization': [[[-12, -8, 1], 1]], 'hecke_orbit_code': 117093590345190562, 'p': 43}
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id: 3074589
{'charpoly_factorization': [[[-47, 8, 1], 1]], 'hecke_orbit_code': 117093590345190562, 'p': 47}
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id: 3074590
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 117093590345190562, 'p': 53}
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id: 3074591
{'charpoly_factorization': [[[-96, -8, 1], 1]], 'hecke_orbit_code': 117093590345190562, 'p': 59}
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id: 3074592
{'charpoly_factorization': [[[-47, 8, 1], 1]], 'hecke_orbit_code': 117093590345190562, 'p': 61}
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id: 3074593
{'charpoly_factorization': [[[-103, 6, 1], 1]], 'hecke_orbit_code': 117093590345190562, 'p': 67}
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id: 3074594
{'charpoly_factorization': [[[36, 16, 1], 1]], 'hecke_orbit_code': 117093590345190562, 'p': 71}
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id: 3074595
{'charpoly_factorization': [[[72, -20, 1], 1]], 'hecke_orbit_code': 117093590345190562, 'p': 73}
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id: 3074596
{'charpoly_factorization': [[[57, -16, 1], 1]], 'hecke_orbit_code': 117093590345190562, 'p': 79}
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id: 3074597
{'charpoly_factorization': [[[-87, 10, 1], 1]], 'hecke_orbit_code': 117093590345190562, 'p': 83}
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id: 3074598
{'charpoly_factorization': [[[36, 16, 1], 1]], 'hecke_orbit_code': 117093590345190562, 'p': 89}
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id: 3074599
{'charpoly_factorization': [[[-111, -2, 1], 1]], 'hecke_orbit_code': 117093590345190562, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 27, 'label': '3234.2.a.ba', 'level': 3234, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 67156345
{'hecke_orbit_code': 117093590345190562, 'n': 1, 'trace_an': 2}
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id: 67156346
{'hecke_orbit_code': 117093590345190562, 'n': 2, 'trace_an': -2}
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id: 67156347
{'hecke_orbit_code': 117093590345190562, 'n': 3, 'trace_an': 2}
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id: 67156348
{'hecke_orbit_code': 117093590345190562, 'n': 4, 'trace_an': 2}
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id: 67156349
{'hecke_orbit_code': 117093590345190562, 'n': 5, 'trace_an': 0}
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id: 67156350
{'hecke_orbit_code': 117093590345190562, 'n': 6, 'trace_an': -2}
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id: 67156351
{'hecke_orbit_code': 117093590345190562, 'n': 7, 'trace_an': 0}
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id: 67156352
{'hecke_orbit_code': 117093590345190562, 'n': 8, 'trace_an': -2}
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id: 67156353
{'hecke_orbit_code': 117093590345190562, 'n': 9, 'trace_an': 2}
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id: 67156354
{'hecke_orbit_code': 117093590345190562, 'n': 10, 'trace_an': 0}
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id: 67156355
{'hecke_orbit_code': 117093590345190562, 'n': 11, 'trace_an': 2}
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id: 67156356
{'hecke_orbit_code': 117093590345190562, 'n': 12, 'trace_an': 2}
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id: 67156357
{'hecke_orbit_code': 117093590345190562, 'n': 13, 'trace_an': 8}
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id: 67156358
{'hecke_orbit_code': 117093590345190562, 'n': 14, 'trace_an': 0}
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id: 67156359
{'hecke_orbit_code': 117093590345190562, 'n': 15, 'trace_an': 0}
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