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{'Nk2': 19600, 'analytic_conductor': 39.12669699042739, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -1], [7, -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': [4900, 1, [2451, 1177, 101], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 51984, 'field_disc_factorization': [[2, 4], [3, 2], [19, 2]], 'field_poly': [16, 0, -11, 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': [[3, [-3, 0, 1]], [11, [-12, 3, 1]], [13, [256, 0, -44, 0, 1]], [19, [-14, -1, 1]], [23, [49, 0, -62, 0, 1]]], 'hecke_orbit': 32, 'hecke_orbit_code': 139611588482044708, 'hecke_ring_generator_nbound': 13, '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, 5, 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': False, 'label': '4900.2.a.bf', 'level': 4900, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'minimal_twist': '140.2.q.a', 'nf_label': '4.4.51984.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{2}q^{3}+(-2-\\beta _{3})q^{11}+(2\\beta _{1}-2\\beta _{2}+\\cdots)q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4900.2.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 16, 15, 15, 19], 'Nk2': 19600, 'analytic_conductor': 39.12669699042739, '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': [4900, 1, [2451, 1177, 101], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 769, 'dim': 65, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11, 13, 19, 23], 'hecke_orbit_code': 33559332, '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, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4], 'label': '4900.2.a', 'level': 4900, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'mf_dim': 912, 'mf_new_dim': 65, 'num_forms': 36, 'plus_dim': 30, 'prim_orbit_index': 1, 'relative_dim': 65, 'sturm_bound': 1680, 'trace_bound': 23, 'trace_display': [0, 2, 0, 0], 'traces': [65, 0, 2, 0, 0, 0, 0, 0, 67, 0, -2, 0, -2, 0, 0, 0, -10, 0, 12, 0, 0, 0, 8, 0, 0, 0, 8, 0, -6, 0, 0, 0, -12, 0, 0, 0, -16, 0, -16, 0, 18, 0, -18, 0, 0, 0, -10, 0, 0, 0, 26, 0, -20, 0, 0, 0, 26, 0, 40, 0, 22, 0, 0, 0, 0, 0, 0, 0, -24, 0, -16, 0, 18, 0, 0, 0, 0, 0, -10, 0, 37, 0, -10, 0, 0, 0, -48, 0, -2, 0, 0, 0, -18, 0, 0, 0, 6, 0, -8, 0, -6, 0, 26, 0, 0, 0, 28, 0, -4, 0, -32, 0, -34, 0, 0, 0, -14, 0, 0, 0, 83, 0, 12, 0, 0, 0, 22, 0, 16, 0, 16, 0, 0, 0, 0, 0, 56, 0, 0, 0, 2, 0, 12, 0, 0, 0, 0, 0, 24, 0, 18, 0, -6, 0, 0, 0, -46, 0, -36, 0, 0, 0, 12, 0, 0, 0, 30, 0, 35, 0, 52, 0, -10, 0, 0, 0, 22, 0, 2, 0, 26, 0, -6, 0, 0, 0, -4, 0, 0, 0, 42, 0, -4, 0, 0, 0, 38, 0, 28, 0, 40, 0, 0, 0, 0, 0, 86, 0, 0, 0, 52, 0, 48, 0, 0, 0, 0, 0, 54, 0, 24, 0, 2, 0, 0, 0, -34, 0, 78, 0, 0, 0, 88, 0, 0, 0, 28, 0, 64, 0, 46, 0, 26, 0, 0, 0, -12, 0, -32, 0, -8, 0, 10, 0, 0, 0, 2, 0, 0, 0, -22, 0, -4, 0, 0, 0, 146, 0, -2, 0, -104, 0, 0, 0, 0, 0, -36, 0, 16, 0, -54, 0, -6, 0, 0, 0, 0, 0, 149, 0, 172, 0, -50, 0, 0, 0, -60, 0, -56, 0, 0, 0, -102, 0, 0, 0, -34, 0, -126, 0, 36, 0, -42, 0, 0, 0, -28, 0, -184, 0, -84, 0, 102, 0, 0, 0, -32, 0, 0, 0, -114, 0, -6, 0, 0, 0, -30, 0, 72, 0, -60, 0, 0, 0, 0, 0, 8, 0, -50, 0, -64, 0, 6, 0, 0, 0, 0, 0, -42, 0, -85, 0, 62, 0, 0, 0, -34, 0, 114, 0, 0, 0, -76, 0, 0, 0, 48, 0, -16, 0, -8, 0, 78, 0, 0, 0, 42, 0, -16, 0, -44, 0, 10, 0, 0, 0, 14, 0, 0, 0, 16, 0, -60, 0, 0, 0, 26, 0, 6, 0, 12, 0, 0, 0, 0, 0, -8, 0, 16, 0, -18, 0, -6, 0, 0, 0, 0, 0, 24, 0, 58, 0, 18, 0, 0, 0, 0, 0, -52, 0, 0, 0, 64, 0, 0, 0, 12, 0, -14, 0, 12, 0, -44, 0, 0, 0, -100, 0, 274, 0, 2, 0, -154, 0, 0, 0, -10, 0, 0, 0, 154, 0, 80, 0, 0, 0, -66, 0, -36, 0, 160, 0, 0, 0, 0, 0, 4, 0, -44, 0, -112, 0, 0, 0, 0, 0, 0, 0, -30, 0, -68, 0, -54, 0, 0, 0, -6, 0, -86, 0, 0, 0, -10, 0, 0, 0, -4, 0, -10, 0, 18, 0, 38, 0, 0, 0, -62, 0, -65, 0, 72, 0, -64, 0, 0, 0, 0, 0, 0, 0, -148, 0, -164, 0, 0, 0, -14, 0, 70, 0, -8, 0, 0, 0, 0, 0, -84, 0, 0, 0, 154, 0, -58, 0, 0, 0, 0, 0, -144, 0, -14, 0, 36, 0, 0, 0, 38, 0, 112, 0, 0, 0, -158, 0, 0, 0, -46, 0, 26, 0, 0, 0, -42, 0, 0, 0, 94, 0, 86, 0, -10, 0, -102, 0, 0, 0, -10, 0, 0, 0, -60, 0, 136, 0, 0, 0, -22, 0, -48, 0, -120, 0, 0, 0, 0, 0, 90, 0, 92, 0, 112, 0, 4, 0, 0, 0, 0, 0, -84, 0, 252, 0, 74, 0, 0, 0, 82, 0, -156, 0, 0, 0, 208, 0, 0, 0, -14, 0, -160, 0, -102, 0, 36, 0, 0, 0, 148, 0, -40, 0, 36, 0, 34, 0, 0, 0, 6, 0, 0, 0, 2, 0, -172, 0, 0, 0, -202, 0, -60, 0, -180, 0, 0, 0, 0, 0, -52, 0, -120, 0, 190, 0, -16, 0, 0, 0, 0, 0, 28, 0, -316, 0, -96, 0, 0, 0, 60, 0, 100, 0, 0, 0, 94, 0, 0, 0, 10, 0, 289, 0, -92, 0, -82, 0, 0, 0, -2, 0, 38, 0, 56, 0, 230, 0, 0, 0, 6, 0, 0, 0, 26, 0, 280, 0, 0, 0, 26, 0, 36, 0, 170, 0, 0, 0, 0, 0, -180, 0, 78, 0, -58, 0, 30, 0, 0, 0, 0, 0, -24, 0, -80, 0, -12, 0, 0, 0, 62, 0, 96, 0, 0, 0, -124, 0, 0, 0, 6, 0, -18, 0, -66, 0, 32, 0, 0, 0, -102, 0, 128, 0, 16, 0, 162, 0, 0, 0, 104, 0, 0, 0, -92, 0, -100, 0, 0, 0, -78, 0, -198, 0, 244, 0, 0, 0, 0, 0, 82, 0, 76, 0, -145, 0, 0, 0, 0, 0, 0, 0, 246, 0, -146, 0, 18, 0, 0, 0, 42, 0, -188, 0, 0, 0, -40, 0, 0, 0, -94, 0, 334, 0, 72, 0, -110, 0, 0, 0, 16, 0, -132, 0, 162, 0, 138, 0, 0, 0, -22, 0, 0, 0, 350, 0, 86, 0, 0, 0, 132, 0, -44, 0, 108, 0, 0, 0, 0, 0, 24, 0, 18, 0, -228, 0, -16, 0, 0, 0, 0, 0, -202, 0, -12, 0, -48, 0, 0, 0, 142, 0, 210, 0, 0, 0, 238, 0, 0, 0, -66, 0, -298, 0, 34, 0, 12, 0, 0, 0, -28, 0, 28, 0, -72, 0, -42, 0, 0, 0, 108, 0, 0, 0, -5, 0, 218, 0, 0, 0, -94, 0, -168, 0, -240, 0, 0, 0, 0, 0, 96, 0, 108, 0, 146, 0, -94, 0, 0, 0, 0, 0, -64, 0, -58, 0, 88, 0, 0, 0, 54, 0, -296, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48755681
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044708, 'source_is_minimal': False, 'source_label': '4900.2.a.bf.1.2', 'source_level': 4900, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 139611588482044708, 'target_is_minimal': False, 'target_label': '4900.2.a.bf.1.2', 'target_level': 4900, 'twist_class_label': '140.2.q.a.9.1', 'twist_class_level': 140, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48755682
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044708, 'source_is_minimal': False, 'source_label': '4900.2.a.bf.1.2', 'source_level': 4900, 'target_conrey_index': 589, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007474166203348, 'target_is_minimal': False, 'target_label': '980.2.e.c.589.3', 'target_level': 980, 'twist_class_label': '140.2.q.a.9.1', 'twist_class_level': 140, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48755683
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044708, 'source_is_minimal': False, 'source_label': '4900.2.a.bf.1.2', 'source_level': 4900, 'target_conrey_index': 589, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166203348, 'target_is_minimal': False, 'target_label': '980.2.e.c.589.1', 'target_level': 980, 'twist_class_label': '140.2.q.a.9.1', 'twist_class_level': 140, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
-
id: 48755684
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044708, 'source_is_minimal': False, 'source_label': '4900.2.a.bf.1.2', 'source_level': 4900, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 139611588482044708, 'target_is_minimal': False, 'target_label': '4900.2.a.bf.1.4', 'target_level': 4900, 'twist_class_label': '140.2.q.a.9.1', 'twist_class_level': 140, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
-
id: 48755685
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044708, 'source_is_minimal': False, 'source_label': '4900.2.a.bf.1.2', 'source_level': 4900, 'target_conrey_index': 401, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518547926221500, 'target_is_minimal': False, 'target_label': '700.2.i.f.401.1', 'target_level': 700, 'twist_class_label': '140.2.q.a.9.1', 'twist_class_level': 140, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48755686
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044708, 'source_is_minimal': False, 'source_label': '4900.2.a.bf.1.2', 'source_level': 4900, 'target_conrey_index': 501, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518547926221500, 'target_is_minimal': False, 'target_label': '700.2.i.f.501.1', 'target_level': 700, 'twist_class_label': '140.2.q.a.9.1', 'twist_class_level': 140, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
-
id: 48755687
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044708, 'source_is_minimal': False, 'source_label': '4900.2.a.bf.1.2', 'source_level': 4900, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 135107988854674212, 'target_is_minimal': False, 'target_label': '4900.2.a.be.1.4', 'target_level': 4900, 'twist_class_label': '140.2.q.a.9.1', 'twist_class_level': 140, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 48755688
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044708, 'source_is_minimal': False, 'source_label': '4900.2.a.bf.1.2', 'source_level': 4900, 'target_conrey_index': 949, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504699172553684, 'target_is_minimal': False, 'target_label': '980.2.q.b.949.2', 'target_level': 980, 'twist_class_label': '140.2.q.a.9.1', 'twist_class_level': 140, 'twisting_char_label': '35.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48755689
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044708, 'source_is_minimal': False, 'source_label': '4900.2.a.bf.1.2', 'source_level': 4900, 'target_conrey_index': 9, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504699172552844, 'target_is_minimal': True, 'target_label': '140.2.q.b.9.2', 'target_level': 140, 'twist_class_label': '140.2.q.a.9.1', 'twist_class_level': 140, 'twisting_char_label': '35.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48755690
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044708, 'source_is_minimal': False, 'source_label': '4900.2.a.bf.1.2', 'source_level': 4900, 'target_conrey_index': 109, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504699172552844, 'target_is_minimal': True, 'target_label': '140.2.q.b.109.1', 'target_level': 140, 'twist_class_label': '140.2.q.a.9.1', 'twist_class_level': 140, 'twisting_char_label': '35.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 48755691
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044708, 'source_is_minimal': False, 'source_label': '4900.2.a.bf.1.2', 'source_level': 4900, 'target_conrey_index': 589, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518273048314836, 'target_is_minimal': False, 'target_label': '980.2.e.f.589.4', 'target_level': 980, 'twist_class_label': '140.2.q.a.9.1', 'twist_class_level': 140, 'twisting_char_label': '35.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 48755692
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044708, 'source_is_minimal': False, 'source_label': '4900.2.a.bf.1.2', 'source_level': 4900, 'target_conrey_index': 9, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1099545182348, 'target_is_minimal': True, 'target_label': '140.2.q.a.9.1', 'target_level': 140, 'twist_class_label': '140.2.q.a.9.1', 'twist_class_level': 140, 'twisting_char_label': '35.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 48755693
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044708, 'source_is_minimal': False, 'source_label': '4900.2.a.bf.1.2', 'source_level': 4900, 'target_conrey_index': 569, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504699172553684, 'target_is_minimal': False, 'target_label': '980.2.q.b.569.1', 'target_level': 980, 'twist_class_label': '140.2.q.a.9.1', 'twist_class_level': 140, 'twisting_char_label': '35.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 48755694
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044708, 'source_is_minimal': False, 'source_label': '4900.2.a.bf.1.2', 'source_level': 4900, 'target_conrey_index': 501, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518547926221500, 'target_is_minimal': False, 'target_label': '700.2.i.f.501.4', 'target_level': 700, 'twist_class_label': '140.2.q.a.9.1', 'twist_class_level': 140, 'twisting_char_label': '35.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48755695
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044708, 'source_is_minimal': False, 'source_label': '4900.2.a.bf.1.2', 'source_level': 4900, 'target_conrey_index': 949, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022697309406164, 'target_is_minimal': False, 'target_label': '980.2.q.g.949.2', 'target_level': 980, 'twist_class_label': '140.2.q.a.9.1', 'twist_class_level': 140, 'twisting_char_label': '35.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 48755696
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044708, 'source_is_minimal': False, 'source_label': '4900.2.a.bf.1.2', 'source_level': 4900, 'target_conrey_index': 401, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518547926221500, 'target_is_minimal': False, 'target_label': '700.2.i.f.401.4', 'target_level': 700, 'twist_class_label': '140.2.q.a.9.1', 'twist_class_level': 140, 'twisting_char_label': '35.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 48755697
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044708, 'source_is_minimal': False, 'source_label': '4900.2.a.bf.1.2', 'source_level': 4900, 'target_conrey_index': 589, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518273048314836, 'target_is_minimal': False, 'target_label': '980.2.e.f.589.2', 'target_level': 980, 'twist_class_label': '140.2.q.a.9.1', 'twist_class_level': 140, 'twisting_char_label': '35.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 48755698
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044708, 'source_is_minimal': False, 'source_label': '4900.2.a.bf.1.2', 'source_level': 4900, 'target_conrey_index': 569, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022697309406164, 'target_is_minimal': False, 'target_label': '980.2.q.g.569.2', 'target_level': 980, 'twist_class_label': '140.2.q.a.9.1', 'twist_class_level': 140, 'twisting_char_label': '35.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 48755699
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044708, 'source_is_minimal': False, 'source_label': '4900.2.a.bf.1.2', 'source_level': 4900, 'target_conrey_index': 109, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1099545182348, 'target_is_minimal': True, 'target_label': '140.2.q.a.109.1', 'target_level': 140, 'twist_class_label': '140.2.q.a.9.1', 'twist_class_level': 140, 'twisting_char_label': '35.33', 'twisting_conrey_index': 33, 'weight': 2}
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id: 48755700
{'conductor': 35, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044708, 'source_is_minimal': False, 'source_label': '4900.2.a.bf.1.2', 'source_level': 4900, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 135107988854674212, 'target_is_minimal': False, 'target_label': '4900.2.a.be.1.2', 'target_level': 4900, 'twist_class_label': '140.2.q.a.9.1', 'twist_class_level': 140, 'twisting_char_label': '35.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 48755701
{'conductor': 105, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044708, 'source_is_minimal': False, 'source_label': '4900.2.a.bf.1.2', 'source_level': 4900, 'target_conrey_index': 289, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 2611373671660, 'target_is_minimal': False, 'target_label': '1260.2.bm.a.289.2', 'target_level': 1260, 'twist_class_label': '140.2.q.a.9.1', 'twist_class_level': 140, 'twisting_char_label': '105.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 48755702
{'conductor': 105, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044708, 'source_is_minimal': False, 'source_label': '4900.2.a.bf.1.2', 'source_level': 4900, 'target_conrey_index': 289, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506211001042156, 'target_is_minimal': False, 'target_label': '1260.2.bm.b.289.1', 'target_level': 1260, 'twist_class_label': '140.2.q.a.9.1', 'twist_class_level': 140, 'twisting_char_label': '105.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 48755703
{'conductor': 105, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044708, 'source_is_minimal': False, 'source_label': '4900.2.a.bf.1.2', 'source_level': 4900, 'target_conrey_index': 109, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4506211001042156, 'target_is_minimal': False, 'target_label': '1260.2.bm.b.109.2', 'target_level': 1260, 'twist_class_label': '140.2.q.a.9.1', 'twist_class_level': 140, 'twisting_char_label': '105.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 48755704
{'conductor': 105, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044708, 'source_is_minimal': False, 'source_label': '4900.2.a.bf.1.2', 'source_level': 4900, 'target_conrey_index': 109, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 2611373671660, 'target_is_minimal': False, 'target_label': '1260.2.bm.a.109.2', 'target_level': 1260, 'twist_class_label': '140.2.q.a.9.1', 'twist_class_level': 140, 'twisting_char_label': '105.68', 'twisting_conrey_index': 68, 'weight': 2}
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id: 48755705
{'conductor': 140, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044708, 'source_is_minimal': False, 'source_label': '4900.2.a.bf.1.2', 'source_level': 4900, 'target_conrey_index': 289, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 3298568438320, 'target_is_minimal': False, 'target_label': '560.2.bw.a.289.2', 'target_level': 560, 'twist_class_label': '140.2.q.a.9.1', 'twist_class_level': 140, 'twisting_char_label': '140.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48755706
{'conductor': 140, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044708, 'source_is_minimal': False, 'source_label': '4900.2.a.bf.1.2', 'source_level': 4900, 'target_conrey_index': 529, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3298568438320, 'target_is_minimal': False, 'target_label': '560.2.bw.a.529.1', 'target_level': 560, 'twist_class_label': '140.2.q.a.9.1', 'twist_class_level': 140, 'twisting_char_label': '140.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 48755707
{'conductor': 140, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044708, 'source_is_minimal': False, 'source_label': '4900.2.a.bf.1.2', 'source_level': 4900, 'target_conrey_index': 289, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18017697077920304, 'target_is_minimal': False, 'target_label': '560.2.bw.e.289.1', 'target_level': 560, 'twist_class_label': '140.2.q.a.9.1', 'twist_class_level': 140, 'twisting_char_label': '140.87', 'twisting_conrey_index': 87, 'weight': 2}
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id: 48755708
{'conductor': 140, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044708, 'source_is_minimal': False, 'source_label': '4900.2.a.bf.1.2', 'source_level': 4900, 'target_conrey_index': 529, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18017697077920304, 'target_is_minimal': False, 'target_label': '560.2.bw.e.529.1', 'target_level': 560, 'twist_class_label': '140.2.q.a.9.1', 'twist_class_level': 140, 'twisting_char_label': '140.103', 'twisting_conrey_index': 103, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3739750
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 139611588482044708, 'p': 2}
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id: 3739751
{'charpoly_factorization': [[[-3, 0, 1], 2]], 'hecke_orbit_code': 139611588482044708, 'p': 3}
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id: 3739752
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 139611588482044708, 'p': 5}
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id: 3739753
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 139611588482044708, 'p': 7}
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id: 3739754
{'charpoly_factorization': [[[-12, 3, 1], 2]], 'hecke_orbit_code': 139611588482044708, 'p': 11}
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id: 3739755
{'charpoly_factorization': [[[256, 0, -44, 0, 1], 1]], 'hecke_orbit_code': 139611588482044708, 'p': 13}
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id: 3739756
{'charpoly_factorization': [[[4, 0, -23, 0, 1], 1]], 'hecke_orbit_code': 139611588482044708, 'p': 17}
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id: 3739757
{'charpoly_factorization': [[[-14, -1, 1], 2]], 'hecke_orbit_code': 139611588482044708, 'p': 19}
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id: 3739758
{'charpoly_factorization': [[[49, 0, -62, 0, 1], 1]], 'hecke_orbit_code': 139611588482044708, 'p': 23}
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id: 3739759
{'charpoly_factorization': [[[-14, -1, 1], 2]], 'hecke_orbit_code': 139611588482044708, 'p': 29}
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id: 3739760
{'charpoly_factorization': [[[-14, -1, 1], 2]], 'hecke_orbit_code': 139611588482044708, 'p': 31}
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id: 3739761
{'charpoly_factorization': [[[3136, 0, -131, 0, 1], 1]], 'hecke_orbit_code': 139611588482044708, 'p': 37}
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id: 3739762
{'charpoly_factorization': [[[42, -15, 1], 2]], 'hecke_orbit_code': 139611588482044708, 'p': 41}
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id: 3739763
{'charpoly_factorization': [[[196, 0, -47, 0, 1], 1]], 'hecke_orbit_code': 139611588482044708, 'p': 43}
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id: 3739764
{'charpoly_factorization': [[[196, 0, -47, 0, 1], 1]], 'hecke_orbit_code': 139611588482044708, 'p': 47}
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id: 3739765
{'charpoly_factorization': [[[1764, 0, -87, 0, 1], 1]], 'hecke_orbit_code': 139611588482044708, 'p': 53}
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id: 3739766
{'charpoly_factorization': [[[-14, 1, 1], 2]], 'hecke_orbit_code': 139611588482044708, 'p': 59}
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id: 3739767
{'charpoly_factorization': [[[-21, -12, 1], 2]], 'hecke_orbit_code': 139611588482044708, 'p': 61}
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id: 3739768
{'charpoly_factorization': [[[2401, 0, -206, 0, 1], 1]], 'hecke_orbit_code': 139611588482044708, 'p': 67}
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id: 3739769
{'charpoly_factorization': [[[-48, -6, 1], 2]], 'hecke_orbit_code': 139611588482044708, 'p': 71}
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id: 3739770
{'charpoly_factorization': [[[196, 0, -47, 0, 1], 1]], 'hecke_orbit_code': 139611588482044708, 'p': 73}
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id: 3739771
{'charpoly_factorization': [[[-2, -7, 1], 2]], 'hecke_orbit_code': 139611588482044708, 'p': 79}
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id: 3739772
{'charpoly_factorization': [[[1764, 0, -87, 0, 1], 1]], 'hecke_orbit_code': 139611588482044708, 'p': 83}
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id: 3739773
{'charpoly_factorization': [[[-7, 1], 4]], 'hecke_orbit_code': 139611588482044708, 'p': 89}
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id: 3739774
{'charpoly_factorization': [[[-48, 0, 1], 2]], 'hecke_orbit_code': 139611588482044708, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 32, 'label': '4900.2.a.bf', 'level': 4900, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 68803159
{'hecke_orbit_code': 139611588482044708, 'n': 1, 'trace_an': 4}
-
id: 68803160
{'hecke_orbit_code': 139611588482044708, 'n': 2, 'trace_an': 0}
-
id: 68803161
{'hecke_orbit_code': 139611588482044708, 'n': 3, 'trace_an': 0}
-
id: 68803162
{'hecke_orbit_code': 139611588482044708, 'n': 4, 'trace_an': 0}
-
id: 68803163
{'hecke_orbit_code': 139611588482044708, 'n': 5, 'trace_an': 0}
-
id: 68803164
{'hecke_orbit_code': 139611588482044708, 'n': 6, 'trace_an': 0}
-
id: 68803165
{'hecke_orbit_code': 139611588482044708, 'n': 7, 'trace_an': 0}
-
id: 68803166
{'hecke_orbit_code': 139611588482044708, 'n': 8, 'trace_an': 0}
-
id: 68803167
{'hecke_orbit_code': 139611588482044708, 'n': 9, 'trace_an': 0}
-
id: 68803168
{'hecke_orbit_code': 139611588482044708, 'n': 10, 'trace_an': 0}
-
id: 68803169
{'hecke_orbit_code': 139611588482044708, 'n': 11, 'trace_an': -6}
-
id: 68803170
{'hecke_orbit_code': 139611588482044708, 'n': 12, 'trace_an': 0}
-
id: 68803171
{'hecke_orbit_code': 139611588482044708, 'n': 13, 'trace_an': 0}
-
id: 68803172
{'hecke_orbit_code': 139611588482044708, 'n': 14, 'trace_an': 0}
-
id: 68803173
{'hecke_orbit_code': 139611588482044708, 'n': 15, 'trace_an': 0}
-
id: 68803174
{'hecke_orbit_code': 139611588482044708, 'n': 16, 'trace_an': 0}
-
id: 68803175
{'hecke_orbit_code': 139611588482044708, 'n': 17, 'trace_an': 0}
-
id: 68803176
{'hecke_orbit_code': 139611588482044708, 'n': 18, 'trace_an': 0}
-
id: 68803177
{'hecke_orbit_code': 139611588482044708, 'n': 19, 'trace_an': 2}
-
id: 68803178
{'hecke_orbit_code': 139611588482044708, 'n': 20, 'trace_an': 0}
-
id: 68803179
{'hecke_orbit_code': 139611588482044708, 'n': 21, 'trace_an': 0}
-
id: 68803180
{'hecke_orbit_code': 139611588482044708, 'n': 22, 'trace_an': 0}
-
id: 68803181
{'hecke_orbit_code': 139611588482044708, 'n': 23, 'trace_an': 0}
-
id: 68803182
{'hecke_orbit_code': 139611588482044708, 'n': 24, 'trace_an': 0}
-
id: 68803183
{'hecke_orbit_code': 139611588482044708, 'n': 25, 'trace_an': 0}
-
id: 68803184
{'hecke_orbit_code': 139611588482044708, 'n': 26, 'trace_an': 0}
-
id: 68803185
{'hecke_orbit_code': 139611588482044708, 'n': 27, 'trace_an': 0}
-
id: 68803186
{'hecke_orbit_code': 139611588482044708, 'n': 28, 'trace_an': 0}
-
id: 68803187
{'hecke_orbit_code': 139611588482044708, 'n': 29, 'trace_an': 2}
-
id: 68803188
{'hecke_orbit_code': 139611588482044708, 'n': 30, 'trace_an': 0}
-
id: 68803189
{'hecke_orbit_code': 139611588482044708, 'n': 31, 'trace_an': 2}
-
id: 68803190
{'hecke_orbit_code': 139611588482044708, 'n': 32, 'trace_an': 0}
-
id: 68803191
{'hecke_orbit_code': 139611588482044708, 'n': 33, 'trace_an': 0}
-
id: 68803192
{'hecke_orbit_code': 139611588482044708, 'n': 34, 'trace_an': 0}
-
id: 68803193
{'hecke_orbit_code': 139611588482044708, 'n': 35, 'trace_an': 0}
-
id: 68803194
{'hecke_orbit_code': 139611588482044708, 'n': 36, 'trace_an': 0}
-
id: 68803195
{'hecke_orbit_code': 139611588482044708, 'n': 37, 'trace_an': 0}
-
id: 68803196
{'hecke_orbit_code': 139611588482044708, 'n': 38, 'trace_an': 0}
-
id: 68803197
{'hecke_orbit_code': 139611588482044708, 'n': 39, 'trace_an': -12}
-
id: 68803198
{'hecke_orbit_code': 139611588482044708, 'n': 40, 'trace_an': 0}
-
id: 68803199
{'hecke_orbit_code': 139611588482044708, 'n': 41, 'trace_an': 30}
-
id: 68803200
{'hecke_orbit_code': 139611588482044708, 'n': 42, 'trace_an': 0}
-
id: 68803201
{'hecke_orbit_code': 139611588482044708, 'n': 43, 'trace_an': 0}
-
id: 68803202
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id: 68803402
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id: 68803406
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id: 68803409
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id: 68803410
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id: 68803411
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id: 68803412
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id: 68803413
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id: 68803414
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id: 68803415
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id: 68803416
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