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{'Nk2': 13800, 'analytic_conductor': 27.548388697341732, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, -1], [23, -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': [3450, 1, [1151, 277, 1201], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 568, 'field_disc_factorization': [[2, 3], [71, 1]], 'field_poly': [-2, -6, -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': [[7, [-2, 1]], [11, [-8, -10, 0, 1]], [13, [64, -20, -4, 1]], [17, [-16, -24, -2, 1]]], 'hecke_orbit': 43, 'hecke_orbit_code': 189151184383118714, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3450.2.a.bq', 'level': 3450, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'minimal_twist': '690.2.d.d', 'nf_label': '3.3.568.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}-q^{6}+2q^{7}-q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3450.2.a', 'trace_display': [-3, 3, 0, 6], 'trace_hash': 1323924510015318935, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.886', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, 1], [23, 1]], 2, 2], [[[2, -1], [3, -1], [5, -1], [23, -1]], 1, 1], [[[2, -1], [3, 1], [5, 1], [23, -1]], 2, 2], [[[2, 1], [3, 1], [5, -1], [23, -1]], 5, 3], [[[2, 1], [3, 1], [5, -1], [23, 1]], 3, 2], [[[2, -1], [3, -1], [5, -1], [23, 1]], 7, 4], [[[2, -1], [3, 1], [5, 1], [23, 1]], 5, 4], [[[2, -1], [3, 1], [5, -1], [23, -1]], 6, 2], [[[2, 1], [3, -1], [5, -1], [23, -1]], 6, 3], [[[2, 1], [3, 1], [5, 1], [23, -1]], 5, 4], [[[2, 1], [3, -1], [5, 1], [23, -1]], 3, 3], [[[2, 1], [3, -1], [5, 1], [23, 1]], 6, 3], [[[2, 1], [3, -1], [5, -1], [23, 1]], 4, 2], [[[2, 1], [3, 1], [5, 1], [23, 1]], 4, 3], [[[2, -1], [3, 1], [5, -1], [23, 1]], 4, 2], [[[2, -1], [3, -1], [5, 1], [23, -1]], 7, 6]], 'ALdims': [4, 5, 3, 5, 6, 3, 4, 6, 5, 2, 4, 6, 2, 7, 7, 1], 'Nk2': 13800, 'analytic_conductor': 27.548388697341732, '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': [3450, 1, [1151, 277, 1201], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 697, 'dim': 70, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17], 'hecke_orbit_code': 33557882, '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, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3], 'label': '3450.2.a', 'level': 3450, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'mf_dim': 744, 'mf_new_dim': 70, 'num_forms': 46, 'plus_dim': 25, 'prim_orbit_index': 1, 'relative_dim': 70, 'sturm_bound': 1440, 'trace_bound': 13, 'trace_display': [-2, 2, 0, 0], 'traces': [70, -2, 2, 70, 0, -2, 0, -2, 70, 0, 0, 2, 4, 8, 0, 70, 4, -2, 20, 0, 20, 4, 0, -2, 0, 28, 2, 0, 28, 0, 16, -2, 4, 28, 0, 70, -8, 8, 28, 0, 4, -4, 28, 0, 0, -4, -8, 2, 102, 0, 8, 4, -12, -2, 0, 8, -4, -20, -8, 0, 56, 8, 0, 70, 0, 0, -12, 4, 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mf_twists_cc • Show schema
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id: 48961151
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 189151184383118714, 'source_is_minimal': False, 'source_label': '3450.2.a.bq.1.3', 'source_level': 3450, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 189151184383118714, 'target_is_minimal': False, 'target_label': '3450.2.a.bq.1.3', 'target_level': 3450, 'twist_class_label': '690.2.d.d.139.1', 'twist_class_level': 690, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48961152
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 189151184383118714, 'source_is_minimal': False, 'source_label': '3450.2.a.bq.1.3', 'source_level': 3450, 'target_conrey_index': 139, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511005074096818, 'target_is_minimal': True, 'target_label': '690.2.d.d.139.1', 'target_level': 690, 'twist_class_label': '690.2.d.d.139.1', 'twist_class_level': 690, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48961153
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 189151184383118714, 'source_is_minimal': False, 'source_label': '3450.2.a.bq.1.3', 'source_level': 3450, 'target_conrey_index': 139, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511005074096818, 'target_is_minimal': True, 'target_label': '690.2.d.d.139.4', 'target_level': 690, 'twist_class_label': '690.2.d.d.139.1', 'twist_class_level': 690, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48961154
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 189151184383118714, 'source_is_minimal': False, 'source_label': '3450.2.a.bq.1.3', 'source_level': 3450, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 193654784010489210, 'target_is_minimal': False, 'target_label': '3450.2.a.br.1.3', 'target_level': 3450, 'twist_class_label': '690.2.d.d.139.1', 'twist_class_level': 690, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48961155
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 189151184383118714, 'source_is_minimal': False, 'source_label': '3450.2.a.bq.1.3', 'source_level': 3450, 'target_conrey_index': 829, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 13511005074098198, 'target_is_minimal': False, 'target_label': '2070.2.d.d.829.6', 'target_level': 2070, 'twist_class_label': '690.2.d.d.139.1', 'twist_class_level': 690, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48961156
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 189151184383118714, 'source_is_minimal': False, 'source_label': '3450.2.a.bq.1.3', 'source_level': 3450, 'target_conrey_index': 829, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511005074098198, 'target_is_minimal': False, 'target_label': '2070.2.d.d.829.3', 'target_level': 2070, 'twist_class_label': '690.2.d.d.139.1', 'twist_class_level': 690, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3183225
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 189151184383118714, 'p': 2}
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id: 3183226
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 189151184383118714, 'p': 3}
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id: 3183227
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 189151184383118714, 'p': 5}
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id: 3183228
{'charpoly_factorization': [[[-2, 1], 3]], 'hecke_orbit_code': 189151184383118714, 'p': 7}
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id: 3183229
{'charpoly_factorization': [[[-8, -10, 0, 1], 1]], 'hecke_orbit_code': 189151184383118714, 'p': 11}
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id: 3183230
{'charpoly_factorization': [[[64, -20, -4, 1], 1]], 'hecke_orbit_code': 189151184383118714, 'p': 13}
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id: 3183231
{'charpoly_factorization': [[[-16, -24, -2, 1], 1]], 'hecke_orbit_code': 189151184383118714, 'p': 17}
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id: 3183232
{'charpoly_factorization': [[[232, -62, -4, 1], 1]], 'hecke_orbit_code': 189151184383118714, 'p': 19}
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id: 3183233
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 189151184383118714, 'p': 23}
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id: 3183234
{'charpoly_factorization': [[[2, 1], 3]], 'hecke_orbit_code': 189151184383118714, 'p': 29}
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id: 3183235
{'charpoly_factorization': [[[80, -12, -8, 1], 1]], 'hecke_orbit_code': 189151184383118714, 'p': 31}
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id: 3183236
{'charpoly_factorization': [[[-164, 98, -18, 1], 1]], 'hecke_orbit_code': 189151184383118714, 'p': 37}
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id: 3183237
{'charpoly_factorization': [[[16, -24, 2, 1], 1]], 'hecke_orbit_code': 189151184383118714, 'p': 41}
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id: 3183238
{'charpoly_factorization': [[[4, 2, -6, 1], 1]], 'hecke_orbit_code': 189151184383118714, 'p': 43}
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id: 3183239
{'charpoly_factorization': [[[64, -20, -4, 1], 1]], 'hecke_orbit_code': 189151184383118714, 'p': 47}
-
id: 3183240
{'charpoly_factorization': [[[4, 14, -14, 1], 1]], 'hecke_orbit_code': 189151184383118714, 'p': 53}
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id: 3183241
{'charpoly_factorization': [[[-848, -88, 10, 1], 1]], 'hecke_orbit_code': 189151184383118714, 'p': 59}
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id: 3183242
{'charpoly_factorization': [[[284, -46, -10, 1], 1]], 'hecke_orbit_code': 189151184383118714, 'p': 61}
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id: 3183243
{'charpoly_factorization': [[[284, -46, -10, 1], 1]], 'hecke_orbit_code': 189151184383118714, 'p': 67}
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id: 3183244
{'charpoly_factorization': [[[-512, -64, 10, 1], 1]], 'hecke_orbit_code': 189151184383118714, 'p': 71}
-
id: 3183245
{'charpoly_factorization': [[[-512, 228, -28, 1], 1]], 'hecke_orbit_code': 189151184383118714, 'p': 73}
-
id: 3183246
{'charpoly_factorization': [[[-352, -92, 4, 1], 1]], 'hecke_orbit_code': 189151184383118714, 'p': 79}
-
id: 3183247
{'charpoly_factorization': [[[1936, -202, -12, 1], 1]], 'hecke_orbit_code': 189151184383118714, 'p': 83}
-
id: 3183248
{'charpoly_factorization': [[[-512, 8, 16, 1], 1]], 'hecke_orbit_code': 189151184383118714, 'p': 89}
-
id: 3183249
{'charpoly_factorization': [[[88, 60, -22, 1], 1]], 'hecke_orbit_code': 189151184383118714, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 43, 'label': '3450.2.a.bq', 'level': 3450, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 274434000
{'hecke_orbit_code': 189151184383118714, 'n': 1, 'trace_an': 3}
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id: 274434001
{'hecke_orbit_code': 189151184383118714, 'n': 2, 'trace_an': -3}
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id: 274434002
{'hecke_orbit_code': 189151184383118714, 'n': 3, 'trace_an': 3}
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id: 274434003
{'hecke_orbit_code': 189151184383118714, 'n': 4, 'trace_an': 3}
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id: 274434004
{'hecke_orbit_code': 189151184383118714, 'n': 5, 'trace_an': 0}
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id: 274434005
{'hecke_orbit_code': 189151184383118714, 'n': 6, 'trace_an': -3}
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id: 274434006
{'hecke_orbit_code': 189151184383118714, 'n': 7, 'trace_an': 6}
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id: 274434007
{'hecke_orbit_code': 189151184383118714, 'n': 8, 'trace_an': -3}
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id: 274434008
{'hecke_orbit_code': 189151184383118714, 'n': 9, 'trace_an': 3}
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id: 274434009
{'hecke_orbit_code': 189151184383118714, 'n': 10, 'trace_an': 0}
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id: 274434010
{'hecke_orbit_code': 189151184383118714, 'n': 11, 'trace_an': 0}
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id: 274434011
{'hecke_orbit_code': 189151184383118714, 'n': 12, 'trace_an': 3}
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