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mf_newforms • Show schema
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{'Nk2': 756, 'analytic_conductor': 1.5091725982021993, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 21, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [189, 2, [29, 136], [1, 1]], 'cm_discs': [], 'conrey_index': 188, 'conrey_indexes': [188], 'dim': 4, 'field_disc': 3600, 'field_disc_factorization': [[2, 4], [3, 2], [5, 2]], 'field_poly': [25, 0, -5, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [5, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503737099878589, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 7, 2, -1, 2, 0], [1, 1, 21, 3, 1, 2, 0]], 'is_cm': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 756, 'analytic_conductor': 1.5091725982021993, 'char_conductor': 21, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [189, 2, [29, 136], [1, 1]], 'conrey_index': 188, 'cusp_dim': 18, 'dim': 10, 'eis_dim': 12, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 137472508093, 'hecke_orbit_dims': [2, 4, 4], 'label': '189.2.c', 'level': 189, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'mf_dim': 30, 'mf_new_dim': 10, 'num_forms': 3, 'prim_orbit_index': 3, 'relative_dim': 10, 'sturm_bound': 48, 'trace_bound': 4, 'trace_display': [0, 0, 0, -3], 'traces': [10, 0, 0, -8, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -28, 0, 0, 22, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 12, 0, 0, -4, 0, 0, -29, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 36, 0, 0, -22, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, -36, 0, 0, 4, 0, 0, 27, 0, 0, 0, 0, 0, 0, 0, 0, -140, 0, 0, 0, 0, 0, -16, 0, 0, -60, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 82, 0, 0, 0, 0, 0, 20, 0, 0, 144, 0, 0, 81, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, -32, 0, 0, -6, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, -70, 0, 0, 0, 0, 0, 4, 0, 0, -56, 0, 0, -93, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 108, 0, 0, -42, 0, 0, -38, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, -160, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 40, 0, 0, 180, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 17, 0, 0, 0, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, -208, 0, 0, 116, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, -62, 0, 0, 0, 0, 0, -180, 0, 0, -40, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 44, 0, 0, 80, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, -114, 0, 0, 0, 0, 0, 102, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 200, 0, 0, -188, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, -58, 0, 0, 0, 0, 0, 138, 0, 0, -100, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, -48, 0, 0, -108, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -10, 0, 0, 208, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, -72, 0, 0, -108, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 122, 0, 0, 200, 0, 0, 93, 0, 0, 0, 0, 0, 0, 0, 0, -184, 0, 0, 0, 0, 0, -28, 0, 0, -78, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 156, 0, 0, 0, 0, 0, -216, 0, 0, 200, 0, 0, 153, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -28, 0, 0, 178, 0, 0, -162, 0, 0, 0, 0, 0, 0, 0, 0, 74, 0, 0, 0, 0, 0, -118, 0, 0, -184, 0, 0, -51, 0, 0, 0, 0, 0, 0, 0, 0, -280, 0, 0, 0, 0, 0, -260, 0, 0, -202, 0, 0, -180, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 216, 0, 0, -164, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 268, 0, 0, 0, 0, 0, 216, 0, 0, 146, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 106, 0, 0, 0, 0, 0, 38, 0, 0, 8, 0, 0, -117, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -78, 0, 0, -68, 0, 0, 99, 0, 0, 0, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, 140, 0, 0, 180, 0, 0, 230, 0, 0, 0, 0, 0, 0, 0, 0, -258, 0, 0, 0, 0, 0, 144, 0, 0, -16, 0, 0, -189, 0, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, 0, 0, 0, 60, 0, 0, 56, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 0, -402, 0, 0, 0, 0, 0, -6, 0, 0, -324, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 0, -116, 0, 0, 0, 0, 0, -136, 0, 0, 20, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 90, 0, 0, 0, 0, 0, -180, 0, 0, 392, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -180, 0, 0, -130, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 324, 0, 0, 0, 0, 0, 10, 0, 0, -44, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, -52, 0, 0, -108, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, -238, 0, 0, 0, 0, 0, -42, 0, 0, 404, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 160, 0, 0, 66, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 30, 0, 0, -120, 0, 0, -27, 0, 0, 0, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, -80, 0, 0, -306, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 58, 0, 0, 0, 0, 0, 266, 0, 0, -648, 0, 0, 171, 0, 0, 0, 0, 0, 0, 0, 0, 428, 0, 0, 0, 0, 0, 324, 0, 0, 390, 0, 0, -280, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 34671648
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 188, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099878589, 'source_is_minimal': True, 'source_label': '189.2.c.b.188.2', 'source_level': 189, 'target_conrey_index': 188, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503737099878589, 'target_is_minimal': True, 'target_label': '189.2.c.b.188.2', 'target_level': 189, 'twist_class_label': '189.2.c.b.188.1', 'twist_class_level': 189, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 34671649
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 188, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099878589, 'source_is_minimal': True, 'source_label': '189.2.c.b.188.2', 'source_level': 189, 'target_conrey_index': 188, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503737099878589, 'target_is_minimal': True, 'target_label': '189.2.c.b.188.3', 'target_level': 189, 'twist_class_label': '189.2.c.b.188.1', 'twist_class_level': 189, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 34671650
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 188, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099878589, 'source_is_minimal': True, 'source_label': '189.2.c.b.188.2', 'source_level': 189, 'target_conrey_index': 1889, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36029484247288784, 'target_is_minimal': False, 'target_label': '3024.2.k.i.1889.4', 'target_level': 3024, 'twist_class_label': '189.2.c.b.188.1', 'twist_class_level': 189, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 34671651
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 188, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099878589, 'source_is_minimal': True, 'source_label': '189.2.c.b.188.2', 'source_level': 189, 'target_conrey_index': 188, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737099878589, 'target_is_minimal': True, 'target_label': '189.2.c.b.188.1', 'target_level': 189, 'twist_class_label': '189.2.c.b.188.1', 'twist_class_level': 189, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 34671652
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 188, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099878589, 'source_is_minimal': True, 'source_label': '189.2.c.b.188.2', 'source_level': 189, 'target_conrey_index': 377, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008161360970295, 'target_is_minimal': False, 'target_label': '567.2.o.c.377.2', 'target_level': 567, 'twist_class_label': '189.2.c.b.188.1', 'twist_class_level': 189, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 34671653
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 188, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099878589, 'source_is_minimal': True, 'source_label': '189.2.c.b.188.2', 'source_level': 189, 'target_conrey_index': 188, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511760988340791, 'target_is_minimal': False, 'target_label': '567.2.o.d.188.2', 'target_level': 567, 'twist_class_label': '189.2.c.b.188.1', 'twist_class_level': 189, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 34671654
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 188, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099878589, 'source_is_minimal': True, 'source_label': '189.2.c.b.188.2', 'source_level': 189, 'target_conrey_index': 188, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511760988340791, 'target_is_minimal': False, 'target_label': '567.2.o.d.188.1', 'target_level': 567, 'twist_class_label': '189.2.c.b.188.1', 'twist_class_level': 189, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 34671655
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 188, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099878589, 'source_is_minimal': True, 'source_label': '189.2.c.b.188.2', 'source_level': 189, 'target_conrey_index': 377, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008161360970295, 'target_is_minimal': False, 'target_label': '567.2.o.c.377.1', 'target_level': 567, 'twist_class_label': '189.2.c.b.188.1', 'twist_class_level': 189, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 34671656
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 188, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099878589, 'source_is_minimal': True, 'source_label': '189.2.c.b.188.2', 'source_level': 189, 'target_conrey_index': 1889, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029484247288784, 'target_is_minimal': False, 'target_label': '3024.2.k.i.1889.2', 'target_level': 3024, 'twist_class_label': '189.2.c.b.188.1', 'twist_class_level': 189, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 34671657
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 188, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099878589, 'source_is_minimal': True, 'source_label': '189.2.c.b.188.2', 'source_level': 189, 'target_conrey_index': 188, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503737099878589, 'target_is_minimal': True, 'target_label': '189.2.c.b.188.4', 'target_level': 189, 'twist_class_label': '189.2.c.b.188.1', 'twist_class_level': 189, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 34671658
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 188, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099878589, 'source_is_minimal': True, 'source_label': '189.2.c.b.188.2', 'source_level': 189, 'target_conrey_index': 1889, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029484247288784, 'target_is_minimal': False, 'target_label': '3024.2.k.i.1889.1', 'target_level': 3024, 'twist_class_label': '189.2.c.b.188.1', 'twist_class_level': 189, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 34671659
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 188, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099878589, 'source_is_minimal': True, 'source_label': '189.2.c.b.188.2', 'source_level': 189, 'target_conrey_index': 188, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008161360970295, 'target_is_minimal': False, 'target_label': '567.2.o.c.188.2', 'target_level': 567, 'twist_class_label': '189.2.c.b.188.1', 'twist_class_level': 189, 'twisting_char_label': '63.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 34671660
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 188, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099878589, 'source_is_minimal': True, 'source_label': '189.2.c.b.188.2', 'source_level': 189, 'target_conrey_index': 377, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511760988340791, 'target_is_minimal': False, 'target_label': '567.2.o.d.377.2', 'target_level': 567, 'twist_class_label': '189.2.c.b.188.1', 'twist_class_level': 189, 'twisting_char_label': '63.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 34671661
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 188, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099878589, 'source_is_minimal': True, 'source_label': '189.2.c.b.188.2', 'source_level': 189, 'target_conrey_index': 377, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511760988340791, 'target_is_minimal': False, 'target_label': '567.2.o.d.377.1', 'target_level': 567, 'twist_class_label': '189.2.c.b.188.1', 'twist_class_level': 189, 'twisting_char_label': '63.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 34671662
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 188, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099878589, 'source_is_minimal': True, 'source_label': '189.2.c.b.188.2', 'source_level': 189, 'target_conrey_index': 188, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008161360970295, 'target_is_minimal': False, 'target_label': '567.2.o.c.188.1', 'target_level': 567, 'twist_class_label': '189.2.c.b.188.1', 'twist_class_level': 189, 'twisting_char_label': '63.41', 'twisting_conrey_index': 41, 'weight': 2}
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id: 34671663
{'conductor': 84, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 188, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4503737099878589, 'source_is_minimal': True, 'source_label': '189.2.c.b.188.2', 'source_level': 189, 'target_conrey_index': 1889, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36029484247288784, 'target_is_minimal': False, 'target_label': '3024.2.k.i.1889.3', 'target_level': 3024, 'twist_class_label': '189.2.c.b.188.1', 'twist_class_level': 189, 'twisting_char_label': '84.83', 'twisting_conrey_index': 83, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 472475
{'charpoly_factorization': [[[5, 0, 1], 2]], 'hecke_orbit_code': 4503737099878589, 'p': 2}
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id: 472476
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503737099878589, 'p': 3}
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id: 472477
{'charpoly_factorization': [[[-15, 0, 1], 2]], 'hecke_orbit_code': 4503737099878589, 'p': 5}
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id: 472478
{'charpoly_factorization': [[[7, 4, 1], 2]], 'hecke_orbit_code': 4503737099878589, 'p': 7}
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id: 472479
{'charpoly_factorization': [[[5, 0, 1], 2]], 'hecke_orbit_code': 4503737099878589, 'p': 11}
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id: 472480
{'charpoly_factorization': [[[12, 0, 1], 2]], 'hecke_orbit_code': 4503737099878589, 'p': 13}
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id: 472481
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503737099878589, 'p': 17}
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id: 472482
{'charpoly_factorization': [[[27, 0, 1], 2]], 'hecke_orbit_code': 4503737099878589, 'p': 19}
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id: 472483
{'charpoly_factorization': [[[5, 0, 1], 2]], 'hecke_orbit_code': 4503737099878589, 'p': 23}
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id: 472484
{'charpoly_factorization': [[[20, 0, 1], 2]], 'hecke_orbit_code': 4503737099878589, 'p': 29}
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id: 472485
{'charpoly_factorization': [[[3, 0, 1], 2]], 'hecke_orbit_code': 4503737099878589, 'p': 31}
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id: 472486
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 4503737099878589, 'p': 37}
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id: 472487
{'charpoly_factorization': [[[-15, 0, 1], 2]], 'hecke_orbit_code': 4503737099878589, 'p': 41}
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id: 472488
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 4503737099878589, 'p': 43}
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id: 472489
{'charpoly_factorization': [[[-60, 0, 1], 2]], 'hecke_orbit_code': 4503737099878589, 'p': 47}
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id: 472490
{'charpoly_factorization': [[[80, 0, 1], 2]], 'hecke_orbit_code': 4503737099878589, 'p': 53}
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id: 472491
{'charpoly_factorization': [[[-60, 0, 1], 2]], 'hecke_orbit_code': 4503737099878589, 'p': 59}
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id: 472492
{'charpoly_factorization': [[[48, 0, 1], 2]], 'hecke_orbit_code': 4503737099878589, 'p': 61}
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id: 472493
{'charpoly_factorization': [[[10, 1], 4]], 'hecke_orbit_code': 4503737099878589, 'p': 67}
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id: 472494
{'charpoly_factorization': [[[125, 0, 1], 2]], 'hecke_orbit_code': 4503737099878589, 'p': 71}
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id: 472495
{'charpoly_factorization': [[[108, 0, 1], 2]], 'hecke_orbit_code': 4503737099878589, 'p': 73}
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id: 472496
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 4503737099878589, 'p': 79}
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id: 472497
{'charpoly_factorization': [[[-60, 0, 1], 2]], 'hecke_orbit_code': 4503737099878589, 'p': 83}
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id: 472498
{'charpoly_factorization': [[[-135, 0, 1], 2]], 'hecke_orbit_code': 4503737099878589, 'p': 89}
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id: 472499
{'charpoly_factorization': [[[192, 0, 1], 2]], 'hecke_orbit_code': 4503737099878589, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 2, 'label': '189.2.c.b', 'level': 189, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 81112000
{'hecke_orbit_code': 4503737099878589, 'n': 1, 'trace_an': 4}
-
id: 81112001
{'hecke_orbit_code': 4503737099878589, 'n': 2, 'trace_an': 0}
-
id: 81112002
{'hecke_orbit_code': 4503737099878589, 'n': 3, 'trace_an': 0}
-
id: 81112003
{'hecke_orbit_code': 4503737099878589, 'n': 4, 'trace_an': -12}
-
id: 81112004
{'hecke_orbit_code': 4503737099878589, 'n': 5, 'trace_an': 0}
-
id: 81112005
{'hecke_orbit_code': 4503737099878589, 'n': 6, 'trace_an': 0}
-
id: 81112006
{'hecke_orbit_code': 4503737099878589, 'n': 7, 'trace_an': -8}
-
id: 81112007
{'hecke_orbit_code': 4503737099878589, 'n': 8, 'trace_an': 0}
-
id: 81112008
{'hecke_orbit_code': 4503737099878589, 'n': 9, 'trace_an': 0}
-
id: 81112009
{'hecke_orbit_code': 4503737099878589, 'n': 10, 'trace_an': 0}
-
id: 81112010
{'hecke_orbit_code': 4503737099878589, 'n': 11, 'trace_an': 0}
-
id: 81112011
{'hecke_orbit_code': 4503737099878589, 'n': 12, 'trace_an': 0}
-
id: 81112012
{'hecke_orbit_code': 4503737099878589, 'n': 13, 'trace_an': 0}
-
id: 81112013
{'hecke_orbit_code': 4503737099878589, 'n': 14, 'trace_an': 0}
-
id: 81112014
{'hecke_orbit_code': 4503737099878589, 'n': 15, 'trace_an': 0}
-
id: 81112015
{'hecke_orbit_code': 4503737099878589, 'n': 16, 'trace_an': -4}
-
id: 81112016
{'hecke_orbit_code': 4503737099878589, 'n': 17, 'trace_an': 0}
-
id: 81112017
{'hecke_orbit_code': 4503737099878589, 'n': 18, 'trace_an': 0}
-
id: 81112018
{'hecke_orbit_code': 4503737099878589, 'n': 19, 'trace_an': 0}
-
id: 81112019
{'hecke_orbit_code': 4503737099878589, 'n': 20, 'trace_an': 0}
-
id: 81112020
{'hecke_orbit_code': 4503737099878589, 'n': 21, 'trace_an': 0}
-
id: 81112021
{'hecke_orbit_code': 4503737099878589, 'n': 22, 'trace_an': -20}
-
id: 81112022
{'hecke_orbit_code': 4503737099878589, 'n': 23, 'trace_an': 0}
-
id: 81112023
{'hecke_orbit_code': 4503737099878589, 'n': 24, 'trace_an': 0}
-
id: 81112024
{'hecke_orbit_code': 4503737099878589, 'n': 25, 'trace_an': 40}
-
id: 81112025
{'hecke_orbit_code': 4503737099878589, 'n': 26, 'trace_an': 0}
-
id: 81112026
{'hecke_orbit_code': 4503737099878589, 'n': 27, 'trace_an': 0}
-
id: 81112027
{'hecke_orbit_code': 4503737099878589, 'n': 28, 'trace_an': 24}
-
id: 81112028
{'hecke_orbit_code': 4503737099878589, 'n': 29, 'trace_an': 0}
-
id: 81112029
{'hecke_orbit_code': 4503737099878589, 'n': 30, 'trace_an': 0}
-
id: 81112030
{'hecke_orbit_code': 4503737099878589, 'n': 31, 'trace_an': 0}
-
id: 81112031
{'hecke_orbit_code': 4503737099878589, 'n': 32, 'trace_an': 0}
-
id: 81112032
{'hecke_orbit_code': 4503737099878589, 'n': 33, 'trace_an': 0}
-
id: 81112033
{'hecke_orbit_code': 4503737099878589, 'n': 34, 'trace_an': 0}
-
id: 81112034
{'hecke_orbit_code': 4503737099878589, 'n': 35, 'trace_an': 0}
-
id: 81112035
{'hecke_orbit_code': 4503737099878589, 'n': 36, 'trace_an': 0}
-
id: 81112036
{'hecke_orbit_code': 4503737099878589, 'n': 37, 'trace_an': -4}
-
id: 81112037
{'hecke_orbit_code': 4503737099878589, 'n': 38, 'trace_an': 0}
-
id: 81112038
{'hecke_orbit_code': 4503737099878589, 'n': 39, 'trace_an': 0}
-
id: 81112039
{'hecke_orbit_code': 4503737099878589, 'n': 40, 'trace_an': 0}
-
id: 81112040
{'hecke_orbit_code': 4503737099878589, 'n': 41, 'trace_an': 0}
-
id: 81112041
{'hecke_orbit_code': 4503737099878589, 'n': 42, 'trace_an': 0}
-
id: 81112042
{'hecke_orbit_code': 4503737099878589, 'n': 43, 'trace_an': 8}
-
id: 81112043
{'hecke_orbit_code': 4503737099878589, 'n': 44, 'trace_an': 0}
-
id: 81112044
{'hecke_orbit_code': 4503737099878589, 'n': 45, 'trace_an': 0}
-
id: 81112045
{'hecke_orbit_code': 4503737099878589, 'n': 46, 'trace_an': -20}
-
id: 81112046
{'hecke_orbit_code': 4503737099878589, 'n': 47, 'trace_an': 0}
-
id: 81112047
{'hecke_orbit_code': 4503737099878589, 'n': 48, 'trace_an': 0}
-
id: 81112048
{'hecke_orbit_code': 4503737099878589, 'n': 49, 'trace_an': 4}
-
id: 81112049
{'hecke_orbit_code': 4503737099878589, 'n': 50, 'trace_an': 0}
-
id: 81112050
{'hecke_orbit_code': 4503737099878589, 'n': 51, 'trace_an': 0}
-
id: 81112051
{'hecke_orbit_code': 4503737099878589, 'n': 52, 'trace_an': 0}
-
id: 81112052
{'hecke_orbit_code': 4503737099878589, 'n': 53, 'trace_an': 0}
-
id: 81112053
{'hecke_orbit_code': 4503737099878589, 'n': 54, 'trace_an': 0}
-
id: 81112054
{'hecke_orbit_code': 4503737099878589, 'n': 55, 'trace_an': 0}
-
id: 81112055
{'hecke_orbit_code': 4503737099878589, 'n': 56, 'trace_an': 0}
-
id: 81112056
{'hecke_orbit_code': 4503737099878589, 'n': 57, 'trace_an': 0}
-
id: 81112057
{'hecke_orbit_code': 4503737099878589, 'n': 58, 'trace_an': 40}
-
id: 81112058
{'hecke_orbit_code': 4503737099878589, 'n': 59, 'trace_an': 0}
-
id: 81112059
{'hecke_orbit_code': 4503737099878589, 'n': 60, 'trace_an': 0}
-
id: 81112060
{'hecke_orbit_code': 4503737099878589, 'n': 61, 'trace_an': 0}
-
id: 81112061
{'hecke_orbit_code': 4503737099878589, 'n': 62, 'trace_an': 0}
-
id: 81112062
{'hecke_orbit_code': 4503737099878589, 'n': 63, 'trace_an': 0}
-
id: 81112063
{'hecke_orbit_code': 4503737099878589, 'n': 64, 'trace_an': 52}
-
id: 81112064
{'hecke_orbit_code': 4503737099878589, 'n': 65, 'trace_an': 0}
-
id: 81112065
{'hecke_orbit_code': 4503737099878589, 'n': 66, 'trace_an': 0}
-
id: 81112066
{'hecke_orbit_code': 4503737099878589, 'n': 67, 'trace_an': -40}
-
id: 81112067
{'hecke_orbit_code': 4503737099878589, 'n': 68, 'trace_an': 0}
-
id: 81112068
{'hecke_orbit_code': 4503737099878589, 'n': 69, 'trace_an': 0}
-
id: 81112069
{'hecke_orbit_code': 4503737099878589, 'n': 70, 'trace_an': -60}
-
id: 81112070
{'hecke_orbit_code': 4503737099878589, 'n': 71, 'trace_an': 0}
-
id: 81112071
{'hecke_orbit_code': 4503737099878589, 'n': 72, 'trace_an': 0}
-
id: 81112072
{'hecke_orbit_code': 4503737099878589, 'n': 73, 'trace_an': 0}
-
id: 81112073
{'hecke_orbit_code': 4503737099878589, 'n': 74, 'trace_an': 0}
-
id: 81112074
{'hecke_orbit_code': 4503737099878589, 'n': 75, 'trace_an': 0}
-
id: 81112075
{'hecke_orbit_code': 4503737099878589, 'n': 76, 'trace_an': 0}
-
id: 81112076
{'hecke_orbit_code': 4503737099878589, 'n': 77, 'trace_an': 0}
-
id: 81112077
{'hecke_orbit_code': 4503737099878589, 'n': 78, 'trace_an': 0}
-
id: 81112078
{'hecke_orbit_code': 4503737099878589, 'n': 79, 'trace_an': 8}
-
id: 81112079
{'hecke_orbit_code': 4503737099878589, 'n': 80, 'trace_an': 0}
-
id: 81112080
{'hecke_orbit_code': 4503737099878589, 'n': 81, 'trace_an': 0}
-
id: 81112081
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