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{'Nk2': 36300, 'analytic_conductor': 72.46423983431195, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 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': [9075, 1, [3026, 727, 5326], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 17424, 'field_disc_factorization': [[2, 4], [3, 2], [11, 2]], 'field_poly': [4, 0, -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': 1, 'hecke_cutters': [[2, [4, 0, -7, 0, 1]], [7, [4, 0, -7, 0, 1]], [13, [1, 0, -46, 0, 1]], [17, [-44, 0, 1]], [19, [1156, 0, -79, 0, 1]], [23, [8, 1]], [37, [5, 1]]], 'hecke_orbit': 80, 'hecke_orbit_code': 355784370595832691, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 2, -1, 2, 0]], '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': True, 'label': '9075.2.a.db', 'level': 9075, '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, 11], 'level_radical': 165, 'minimal_twist': '9075.2.a.cw', 'nf_label': '4.4.17424.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+q^{3}+(2+\\beta _{3})q^{4}+\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9075.2.a', 'trace_display': [0, 4, 0, 0], 'trace_hash': 725349390814222896, 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'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 4, 'dual_embedding_m': 4, 'embedding_index': 4, 'embedding_m': 4, 'embedding_root_imag': 0.0, 'embedding_root_real': 2.5243377989621387, 'hecke_orbit': 80, 'hecke_orbit_code': 355784370595832691, 'label': '9075.2.a.db.1.4', 'level': 9075, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [36, 45, 46, 45, 48, 35, 38, 52], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [17, 18, 18, 18, 18, 18, 18, 18], 'ALdims_old': [115, 117, 116, 105, 114, 115, 112, 110], 'Nk2': 36300, 'analytic_conductor': 72.46423983431195, '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': [9075, 1, [3026, 727, 5326], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1249, 'dim': 345, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 13, 17, 19, 23, 37], 'hecke_orbit_code': 33563507, 'hecke_orbit_dims': [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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 8, 8, 8, 8, 12, 12, 12, 12], 'label': '9075.2.a', 'level': 9075, '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, 11], 'level_radical': 165, 'mf_dim': 1392, 'mf_new_dim': 345, 'num_forms': 105, 'plus_dim': 154, 'prim_orbit_index': 1, 'relative_dim': 345, 'sturm_bound': 2640, 'trace_bound': 23, 'trace_display': [-3, 1, 0, 4], 'traces': [345, -3, 1, 341, 0, -1, 4, -15, 345, 0, 0, 7, -2, 0, 0, 345, -10, -3, 14, 0, 10, 0, -4, -9, 0, 42, 1, 4, -6, 0, -10, -23, 0, -10, 0, 341, 2, -4, 16, 0, 26, -16, 0, 0, 0, -16, -8, -1, 363, 0, 6, -54, -30, -1, 0, -12, 16, 6, 4, 0, 8, 32, 4, 341, 0, 0, 24, 50, -8, 0, 12, -15, -14, -22, 0, 44, 0, -6, 4, 0, 345, 14, 28, 24, 0, 4, 2, 0, -26, 0, 70, 8, 44, 64, 0, -9, 38, 77, 0, 0, 38, -18, 44, 158, 0, 34, 20, 7, 60, 0, 58, 12, -38, 28, 0, 2, -2, 4, -12, 0, 0, -30, -26, 32, 0, 0, -52, -7, 38, 0, -84, 0, 0, 24, 0, 130, -170, -16, -8, 0, -32, -24, 0, 345, 0, -38, 37, 26, 10, 0, -54, 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mf_twists_cc • Show schema
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id: 49152386
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 355784370595832691, 'source_is_minimal': True, 'source_label': '9075.2.a.db.1.4', 'source_level': 9075, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 355784370595832691, 'target_is_minimal': True, 'target_label': '9075.2.a.db.1.4', 'target_level': 9075, 'twist_class_label': '9075.2.a.cw.1.1', 'twist_class_level': 9075, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49152387
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 355784370595832691, 'source_is_minimal': True, 'source_label': '9075.2.a.db.1.4', 'source_level': 9075, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 333266372458980211, 'target_is_minimal': True, 'target_label': '9075.2.a.cw.1.1', 'target_level': 9075, 'twist_class_label': '9075.2.a.cw.1.1', 'twist_class_level': 9075, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49152388
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 355784370595832691, 'source_is_minimal': True, 'source_label': '9075.2.a.db.1.4', 'source_level': 9075, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 355784370595832691, 'target_is_minimal': True, 'target_label': '9075.2.a.db.1.1', 'target_level': 9075, 'twist_class_label': '9075.2.a.cw.1.1', 'twist_class_level': 9075, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 49152389
{'conductor': 55, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 355784370595832691, 'source_is_minimal': True, 'source_label': '9075.2.a.db.1.4', 'source_level': 9075, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 333266372458980211, 'target_is_minimal': True, 'target_label': '9075.2.a.cw.1.4', 'target_level': 9075, 'twist_class_label': '9075.2.a.cw.1.1', 'twist_class_level': 9075, 'twisting_char_label': '55.54', 'twisting_conrey_index': 54, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4928550
{'charpoly_factorization': [[[4, 0, -7, 0, 1], 1]], 'hecke_orbit_code': 355784370595832691, 'p': 2}
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id: 4928551
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 355784370595832691, 'p': 3}
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id: 4928552
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 355784370595832691, 'p': 5}
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id: 4928553
{'charpoly_factorization': [[[4, 0, -7, 0, 1], 1]], 'hecke_orbit_code': 355784370595832691, 'p': 7}
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id: 4928554
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 355784370595832691, 'p': 11}
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id: 4928555
{'charpoly_factorization': [[[1, 0, -46, 0, 1], 1]], 'hecke_orbit_code': 355784370595832691, 'p': 13}
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id: 4928556
{'charpoly_factorization': [[[-44, 0, 1], 2]], 'hecke_orbit_code': 355784370595832691, 'p': 17}
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id: 4928557
{'charpoly_factorization': [[[1156, 0, -79, 0, 1], 1]], 'hecke_orbit_code': 355784370595832691, 'p': 19}
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id: 4928558
{'charpoly_factorization': [[[8, 1], 4]], 'hecke_orbit_code': 355784370595832691, 'p': 23}
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id: 4928559
{'charpoly_factorization': [[[1024, 0, -112, 0, 1], 1]], 'hecke_orbit_code': 355784370595832691, 'p': 29}
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id: 4928560
{'charpoly_factorization': [[[-8, 1, 1], 2]], 'hecke_orbit_code': 355784370595832691, 'p': 31}
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id: 4928561
{'charpoly_factorization': [[[5, 1], 4]], 'hecke_orbit_code': 355784370595832691, 'p': 37}
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id: 4928562
{'charpoly_factorization': [[[-48, 0, 1], 2]], 'hecke_orbit_code': 355784370595832691, 'p': 41}
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id: 4928563
{'charpoly_factorization': [[[-99, 0, 1], 2]], 'hecke_orbit_code': 355784370595832691, 'p': 43}
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id: 4928564
{'charpoly_factorization': [[[-24, -6, 1], 2]], 'hecke_orbit_code': 355784370595832691, 'p': 47}
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id: 4928565
{'charpoly_factorization': [[[16, -14, 1], 2]], 'hecke_orbit_code': 355784370595832691, 'p': 53}
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id: 4928566
{'charpoly_factorization': [[[-4, 1], 4]], 'hecke_orbit_code': 355784370595832691, 'p': 59}
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id: 4928567
{'charpoly_factorization': [[[256, 0, -43, 0, 1], 1]], 'hecke_orbit_code': 355784370595832691, 'p': 61}
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id: 4928568
{'charpoly_factorization': [[[-68, -5, 1], 2]], 'hecke_orbit_code': 355784370595832691, 'p': 67}
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id: 4928569
{'charpoly_factorization': [[[-8, -10, 1], 2]], 'hecke_orbit_code': 355784370595832691, 'p': 71}
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id: 4928570
{'charpoly_factorization': [[[-27, 0, 1], 2]], 'hecke_orbit_code': 355784370595832691, 'p': 73}
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id: 4928571
{'charpoly_factorization': [[[1, 0, -46, 0, 1], 1]], 'hecke_orbit_code': 355784370595832691, 'p': 79}
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id: 4928572
{'charpoly_factorization': [[[256, 0, -76, 0, 1], 1]], 'hecke_orbit_code': 355784370595832691, 'p': 83}
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id: 4928573
{'charpoly_factorization': [[[-96, 12, 1], 2]], 'hecke_orbit_code': 355784370595832691, 'p': 89}
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id: 4928574
{'charpoly_factorization': [[[34, -13, 1], 2]], 'hecke_orbit_code': 355784370595832691, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 80, 'label': '9075.2.a.db', 'level': 9075, 'portrait': 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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 72465727
{'hecke_orbit_code': 355784370595832691, 'n': 1, 'trace_an': 4}
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id: 72465728
{'hecke_orbit_code': 355784370595832691, 'n': 2, 'trace_an': 0}
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id: 72465729
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