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{'Nk2': 4900, 'analytic_conductor': 9.781674247606848, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[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': [1225, 1, [1177, 101], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 17, 'field_disc_factorization': [[17, 1]], 'field_poly': [-4, -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': [[2, [-4, -1, 1]], [3, [-4, 1, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326224585, 'hecke_ring_generator_nbound': 2, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1225.2.a.s', 'level': 1225, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5, 7], 'level_radical': 35, 'minimal_twist': '35.2.a.b', 'nf_label': '2.2.17.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{2}+(-1+\\beta )q^{3}+(2+\\beta )q^{4}+4q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1225.2.a', 'trace_display': [1, -1, 0, 0], 'trace_hash': 932557600108723665, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.030', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.945', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.722', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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{'AL_dims': [[[[5, -1], [7, -1]], 13, 8], [[[5, -1], [7, 1]], 17, 7], [[[5, 1], [7, -1]], 15, 9], [[[5, 1], [7, 1]], 13, 5]], 'ALdims': [13, 15, 17, 13], 'Nk2': 4900, 'analytic_conductor': 9.781674247606848, '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': [1225, 1, [1177, 101], [1, 1]], 'conrey_index': 1, 'cusp_dim': 117, 'dim': 58, 'eis_dim': 47, 'eis_new_dim': 15, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 33555657, 'hecke_orbit_dims': [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, 4, 4, 4], 'label': '1225.2.a', 'level': 1225, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5, 7], 'level_radical': 35, 'mf_dim': 164, 'mf_new_dim': 73, 'num_forms': 29, 'plus_dim': 26, 'prim_orbit_index': 1, 'relative_dim': 58, 'sturm_bound': 280, 'trace_bound': 3, 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0, -16, -496, -288, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48170500
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224585, 'source_is_minimal': False, 'source_label': '1225.2.a.s.1.1', 'source_level': 1225, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326224585, 'target_is_minimal': False, 'target_label': '1225.2.a.s.1.1', 'target_level': 1225, 'twist_class_label': '35.2.a.b.1.2', 'twist_class_level': 35, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48170501
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224585, 'source_is_minimal': False, 'source_label': '1225.2.a.s.1.1', 'source_level': 1225, 'target_conrey_index': 99, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518066889884873, 'target_is_minimal': False, 'target_label': '1225.2.b.f.99.2', 'target_level': 1225, 'twist_class_label': '35.2.a.b.1.2', 'twist_class_level': 35, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48170502
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224585, 'source_is_minimal': False, 'source_label': '1225.2.a.s.1.1', 'source_level': 1225, 'target_conrey_index': 99, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518066889884873, 'target_is_minimal': False, 'target_label': '1225.2.b.f.99.3', 'target_level': 1225, 'twist_class_label': '35.2.a.b.1.2', 'twist_class_level': 35, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48170503
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224585, 'source_is_minimal': False, 'source_label': '1225.2.a.s.1.1', 'source_level': 1225, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510798915666165, 'target_is_minimal': False, 'target_label': '245.2.a.d.1.2', 'target_level': 245, 'twist_class_label': '35.2.a.b.1.2', 'twist_class_level': 35, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48170504
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224585, 'source_is_minimal': False, 'source_label': '1225.2.a.s.1.1', 'source_level': 1225, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170407087, 'target_is_minimal': False, 'target_label': '175.2.a.f.1.1', 'target_level': 175, 'twist_class_label': '35.2.a.b.1.2', 'twist_class_level': 35, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 48170505
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224585, 'source_is_minimal': False, 'source_label': '1225.2.a.s.1.1', 'source_level': 1225, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582791463078045, 'target_is_minimal': False, 'target_label': '2205.2.a.x.1.1', 'target_level': 2205, 'twist_class_label': '35.2.a.b.1.2', 'twist_class_level': 35, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 48170506
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224585, 'source_is_minimal': False, 'source_label': '1225.2.a.s.1.1', 'source_level': 1225, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 198158383637860176, 'target_is_minimal': False, 'target_label': '3920.2.a.bs.1.1', 'target_level': 3920, 'twist_class_label': '35.2.a.b.1.2', 'twist_class_level': 35, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48170507
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224585, 'source_is_minimal': False, 'source_label': '1225.2.a.s.1.1', 'source_level': 1225, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67553994444113447, 'target_is_minimal': False, 'target_label': '1575.2.a.p.1.2', 'target_level': 1575, 'twist_class_label': '35.2.a.b.1.2', 'twist_class_level': 35, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 48170508
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224585, 'source_is_minimal': False, 'source_label': '1225.2.a.s.1.1', 'source_level': 1225, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 153122387364154096, 'target_is_minimal': False, 'target_label': '2800.2.a.bi.1.1', 'target_level': 2800, 'twist_class_label': '35.2.a.b.1.2', 'twist_class_level': 35, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 48170509
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224585, 'source_is_minimal': False, 'source_label': '1225.2.a.s.1.1', 'source_level': 1225, 'target_conrey_index': 226, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525472303055093, 'target_is_minimal': False, 'target_label': '245.2.e.h.226.1', 'target_level': 245, 'twist_class_label': '35.2.a.b.1.2', 'twist_class_level': 35, 'twisting_char_label': '35.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48170510
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224585, 'source_is_minimal': False, 'source_label': '1225.2.a.s.1.1', 'source_level': 1225, 'target_conrey_index': 116, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525472303055093, 'target_is_minimal': False, 'target_label': '245.2.e.h.116.1', 'target_level': 245, 'twist_class_label': '35.2.a.b.1.2', 'twist_class_level': 35, 'twisting_char_label': '35.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 48170511
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224585, 'source_is_minimal': False, 'source_label': '1225.2.a.s.1.1', 'source_level': 1225, 'target_conrey_index': 99, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503668380401839, 'target_is_minimal': False, 'target_label': '175.2.b.b.99.3', 'target_level': 175, 'twist_class_label': '35.2.a.b.1.2', 'twist_class_level': 35, 'twisting_char_label': '35.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 48170512
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224585, 'source_is_minimal': False, 'source_label': '1225.2.a.s.1.1', 'source_level': 1225, 'target_conrey_index': 116, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029071930425589, 'target_is_minimal': False, 'target_label': '245.2.e.i.116.1', 'target_level': 245, 'twist_class_label': '35.2.a.b.1.2', 'twist_class_level': 35, 'twisting_char_label': '35.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48170513
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224585, 'source_is_minimal': False, 'source_label': '1225.2.a.s.1.1', 'source_level': 1225, 'target_conrey_index': 226, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029071930425589, 'target_is_minimal': False, 'target_label': '245.2.e.i.226.1', 'target_level': 245, 'twist_class_label': '35.2.a.b.1.2', 'twist_class_level': 35, 'twisting_char_label': '35.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 48170514
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224585, 'source_is_minimal': False, 'source_label': '1225.2.a.s.1.1', 'source_level': 1225, 'target_conrey_index': 99, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503668380401839, 'target_is_minimal': False, 'target_label': '175.2.b.b.99.2', 'target_level': 175, 'twist_class_label': '35.2.a.b.1.2', 'twist_class_level': 35, 'twisting_char_label': '35.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 48170515
{'conductor': 35, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224585, 'source_is_minimal': False, 'source_label': '1225.2.a.s.1.1', 'source_level': 1225, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503599660924963, 'target_is_minimal': True, 'target_label': '35.2.a.b.1.2', 'target_level': 35, 'twist_class_label': '35.2.a.b.1.2', 'twist_class_level': 35, 'twisting_char_label': '35.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 48170516
{'conductor': 105, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224585, 'source_is_minimal': False, 'source_label': '1225.2.a.s.1.1', 'source_level': 1225, 'target_conrey_index': 1324, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014604701468199, 'target_is_minimal': False, 'target_label': '1575.2.d.e.1324.3', 'target_level': 1575, 'twist_class_label': '35.2.a.b.1.2', 'twist_class_level': 35, 'twisting_char_label': '105.62', 'twisting_conrey_index': 62, 'weight': 2}
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id: 48170517
{'conductor': 105, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224585, 'source_is_minimal': False, 'source_label': '1225.2.a.s.1.1', 'source_level': 1225, 'target_conrey_index': 1324, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014604701468199, 'target_is_minimal': False, 'target_label': '1575.2.d.e.1324.2', 'target_level': 1575, 'twist_class_label': '35.2.a.b.1.2', 'twist_class_level': 35, 'twisting_char_label': '105.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 48170518
{'conductor': 105, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224585, 'source_is_minimal': False, 'source_label': '1225.2.a.s.1.1', 'source_level': 1225, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543036731, 'target_is_minimal': False, 'target_label': '315.2.a.e.1.1', 'target_level': 315, 'twist_class_label': '35.2.a.b.1.2', 'twist_class_level': 35, 'twisting_char_label': '105.104', 'twisting_conrey_index': 104, 'weight': 2}
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id: 48170519
{'conductor': 140, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224585, 'source_is_minimal': False, 'source_label': '1225.2.a.s.1.1', 'source_level': 1225, 'target_conrey_index': 449, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 85568805270457072, 'target_is_minimal': False, 'target_label': '2800.2.g.t.449.4', 'target_level': 2800, 'twist_class_label': '35.2.a.b.1.2', 'twist_class_level': 35, 'twisting_char_label': '140.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 48170520
{'conductor': 140, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224585, 'source_is_minimal': False, 'source_label': '1225.2.a.s.1.1', 'source_level': 1225, 'target_conrey_index': 449, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568805270457072, 'target_is_minimal': False, 'target_label': '2800.2.g.t.449.1', 'target_level': 2800, 'twist_class_label': '35.2.a.b.1.2', 'twist_class_level': 35, 'twisting_char_label': '140.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 48170521
{'conductor': 140, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224585, 'source_is_minimal': False, 'source_label': '1225.2.a.s.1.1', 'source_level': 1225, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028797052518960, 'target_is_minimal': False, 'target_label': '560.2.a.i.1.2', 'target_level': 560, 'twist_class_label': '35.2.a.b.1.2', 'twist_class_level': 35, 'twisting_char_label': '140.139', 'twisting_conrey_index': 139, 'weight': 2}
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id: 48170522
{'conductor': 280, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224585, 'source_is_minimal': False, 'source_label': '1225.2.a.s.1.1', 'source_level': 1225, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 148618787736783040, 'target_is_minimal': False, 'target_label': '2240.2.a.bh.1.2', 'target_level': 2240, 'twist_class_label': '35.2.a.b.1.2', 'twist_class_level': 35, 'twisting_char_label': '280.69', 'twisting_conrey_index': 69, 'weight': 2}
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id: 48170523
{'conductor': 280, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224585, 'source_is_minimal': False, 'source_label': '1225.2.a.s.1.1', 'source_level': 1225, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 130604389227301056, 'target_is_minimal': False, 'target_label': '2240.2.a.bd.1.1', 'target_level': 2240, 'twist_class_label': '35.2.a.b.1.2', 'twist_class_level': 35, 'twisting_char_label': '280.139', 'twisting_conrey_index': 139, 'weight': 2}
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id: 48170524
{'conductor': 385, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224585, 'source_is_minimal': False, 'source_label': '1225.2.a.s.1.1', 'source_level': 1225, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562004619, 'target_is_minimal': False, 'target_label': '4235.2.a.m.1.1', 'target_level': 4235, 'twist_class_label': '35.2.a.b.1.2', 'twist_class_level': 35, 'twisting_char_label': '385.384', 'twisting_conrey_index': 384, 'weight': 2}
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id: 48170525
{'conductor': 420, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224585, 'source_is_minimal': False, 'source_label': '1225.2.a.s.1.1', 'source_level': 1225, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 202661983265231792, 'target_is_minimal': False, 'target_label': '5040.2.a.bt.1.2', 'target_level': 5040, 'twist_class_label': '35.2.a.b.1.2', 'twist_class_level': 35, 'twisting_char_label': '420.419', 'twisting_conrey_index': 419, 'weight': 2}
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id: 48170526
{'conductor': 455, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326224585, 'source_is_minimal': False, 'source_label': '1225.2.a.s.1.1', 'source_level': 1225, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934635803, 'target_is_minimal': False, 'target_label': '5915.2.a.l.1.1', 'target_level': 5915, 'twist_class_label': '35.2.a.b.1.2', 'twist_class_level': 35, 'twisting_char_label': '455.454', 'twisting_conrey_index': 454, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1785100
{'charpoly_factorization': [[[-4, -1, 1], 1]], 'hecke_orbit_code': 81064793326224585, 'p': 2}
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id: 1785101
{'charpoly_factorization': [[[-4, 1, 1], 1]], 'hecke_orbit_code': 81064793326224585, 'p': 3}
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id: 1785102
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 81064793326224585, 'p': 5}
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id: 1785103
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 81064793326224585, 'p': 7}
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id: 1785104
{'charpoly_factorization': [[[-4, -1, 1], 1]], 'hecke_orbit_code': 81064793326224585, 'p': 11}
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id: 1785105
{'charpoly_factorization': [[[2, -5, 1], 1]], 'hecke_orbit_code': 81064793326224585, 'p': 13}
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id: 1785106
{'charpoly_factorization': [[[2, 5, 1], 1]], 'hecke_orbit_code': 81064793326224585, 'p': 17}
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id: 1785107
{'charpoly_factorization': [[[-8, -6, 1], 1]], 'hecke_orbit_code': 81064793326224585, 'p': 19}
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id: 1785108
{'charpoly_factorization': [[[-16, -2, 1], 1]], 'hecke_orbit_code': 81064793326224585, 'p': 23}
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id: 1785109
{'charpoly_factorization': [[[-38, -1, 1], 1]], 'hecke_orbit_code': 81064793326224585, 'p': 29}
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id: 1785110
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 81064793326224585, 'p': 31}
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id: 1785111
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 81064793326224585, 'p': 37}
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id: 1785112
{'charpoly_factorization': [[[-16, 2, 1], 1]], 'hecke_orbit_code': 81064793326224585, 'p': 41}
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id: 1785113
{'charpoly_factorization': [[[8, 10, 1], 1]], 'hecke_orbit_code': 81064793326224585, 'p': 43}
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id: 1785114
{'charpoly_factorization': [[[-32, 5, 1], 1]], 'hecke_orbit_code': 81064793326224585, 'p': 47}
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id: 1785115
{'charpoly_factorization': [[[-16, -2, 1], 1]], 'hecke_orbit_code': 81064793326224585, 'p': 53}
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id: 1785116
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 81064793326224585, 'p': 59}
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id: 1785117
{'charpoly_factorization': [[[-144, 6, 1], 1]], 'hecke_orbit_code': 81064793326224585, 'p': 61}
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id: 1785118
{'charpoly_factorization': [[[-64, 4, 1], 1]], 'hecke_orbit_code': 81064793326224585, 'p': 67}
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id: 1785119
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 81064793326224585, 'p': 71}
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id: 1785120
{'charpoly_factorization': [[[-52, 8, 1], 1]], 'hecke_orbit_code': 81064793326224585, 'p': 73}
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id: 1785121
{'charpoly_factorization': [[[16, 9, 1], 1]], 'hecke_orbit_code': 81064793326224585, 'p': 79}
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id: 1785122
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 81064793326224585, 'p': 83}
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id: 1785123
{'charpoly_factorization': [[[-8, 6, 1], 1]], 'hecke_orbit_code': 81064793326224585, 'p': 89}
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id: 1785124
{'charpoly_factorization': [[[-86, 9, 1], 1]], 'hecke_orbit_code': 81064793326224585, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '1225.2.a.s', 'level': 1225, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 243685000
{'hecke_orbit_code': 81064793326224585, 'n': 1, 'trace_an': 2}
-
id: 243685001
{'hecke_orbit_code': 81064793326224585, 'n': 2, 'trace_an': 1}
-
id: 243685002
{'hecke_orbit_code': 81064793326224585, 'n': 3, 'trace_an': -1}
-
id: 243685003
{'hecke_orbit_code': 81064793326224585, 'n': 4, 'trace_an': 5}
-
id: 243685004
{'hecke_orbit_code': 81064793326224585, 'n': 5, 'trace_an': 0}
-
id: 243685005
{'hecke_orbit_code': 81064793326224585, 'n': 6, 'trace_an': 8}
-
id: 243685006
{'hecke_orbit_code': 81064793326224585, 'n': 7, 'trace_an': 0}
-
id: 243685007
{'hecke_orbit_code': 81064793326224585, 'n': 8, 'trace_an': 9}
-
id: 243685008
{'hecke_orbit_code': 81064793326224585, 'n': 9, 'trace_an': 3}
-
id: 243685009
{'hecke_orbit_code': 81064793326224585, 'n': 10, 'trace_an': 0}
-
id: 243685010
{'hecke_orbit_code': 81064793326224585, 'n': 11, 'trace_an': 1}
-
id: 243685011
{'hecke_orbit_code': 81064793326224585, 'n': 12, 'trace_an': 6}
-
id: 243685012
{'hecke_orbit_code': 81064793326224585, 'n': 13, 'trace_an': 5}
-
id: 243685013
{'hecke_orbit_code': 81064793326224585, 'n': 14, 'trace_an': 0}
-
id: 243685014
{'hecke_orbit_code': 81064793326224585, 'n': 15, 'trace_an': 0}
-
id: 243685015
{'hecke_orbit_code': 81064793326224585, 'n': 16, 'trace_an': 3}
-
id: 243685016
{'hecke_orbit_code': 81064793326224585, 'n': 17, 'trace_an': -5}
-
id: 243685017
{'hecke_orbit_code': 81064793326224585, 'n': 18, 'trace_an': -7}
-
id: 243685018
{'hecke_orbit_code': 81064793326224585, 'n': 19, 'trace_an': 6}
-
id: 243685019
{'hecke_orbit_code': 81064793326224585, 'n': 20, 'trace_an': 0}
-
id: 243685020
{'hecke_orbit_code': 81064793326224585, 'n': 21, 'trace_an': 0}
-
id: 243685021
{'hecke_orbit_code': 81064793326224585, 'n': 22, 'trace_an': -8}
-
id: 243685022
{'hecke_orbit_code': 81064793326224585, 'n': 23, 'trace_an': 2}
-
id: 243685023
{'hecke_orbit_code': 81064793326224585, 'n': 24, 'trace_an': 4}
-
id: 243685024
{'hecke_orbit_code': 81064793326224585, 'n': 25, 'trace_an': 0}
-
id: 243685025
{'hecke_orbit_code': 81064793326224585, 'n': 26, 'trace_an': -6}
-
id: 243685026
{'hecke_orbit_code': 81064793326224585, 'n': 27, 'trace_an': -7}
-
id: 243685027
{'hecke_orbit_code': 81064793326224585, 'n': 28, 'trace_an': 0}
-
id: 243685028
{'hecke_orbit_code': 81064793326224585, 'n': 29, 'trace_an': 1}
-
id: 243685029
{'hecke_orbit_code': 81064793326224585, 'n': 30, 'trace_an': 0}
-
id: 243685030
{'hecke_orbit_code': 81064793326224585, 'n': 31, 'trace_an': 0}
-
id: 243685031
{'hecke_orbit_code': 81064793326224585, 'n': 32, 'trace_an': 9}
-
id: 243685032
{'hecke_orbit_code': 81064793326224585, 'n': 33, 'trace_an': -9}
-
id: 243685033
{'hecke_orbit_code': 81064793326224585, 'n': 34, 'trace_an': 6}
-
id: 243685034
{'hecke_orbit_code': 81064793326224585, 'n': 35, 'trace_an': 0}
-
id: 243685035
{'hecke_orbit_code': 81064793326224585, 'n': 36, 'trace_an': -1}
-
id: 243685036
{'hecke_orbit_code': 81064793326224585, 'n': 37, 'trace_an': -12}
-
id: 243685037
{'hecke_orbit_code': 81064793326224585, 'n': 38, 'trace_an': 20}
-
id: 243685038
{'hecke_orbit_code': 81064793326224585, 'n': 39, 'trace_an': -11}
-
id: 243685039
{'hecke_orbit_code': 81064793326224585, 'n': 40, 'trace_an': 0}
-
id: 243685040
{'hecke_orbit_code': 81064793326224585, 'n': 41, 'trace_an': -2}
-
id: 243685041
{'hecke_orbit_code': 81064793326224585, 'n': 42, 'trace_an': 0}
-
id: 243685042
{'hecke_orbit_code': 81064793326224585, 'n': 43, 'trace_an': -10}
-
id: 243685043
{'hecke_orbit_code': 81064793326224585, 'n': 44, 'trace_an': -6}
-
id: 243685044
{'hecke_orbit_code': 81064793326224585, 'n': 45, 'trace_an': 0}
-
id: 243685045
{'hecke_orbit_code': 81064793326224585, 'n': 46, 'trace_an': -16}
-
id: 243685046
{'hecke_orbit_code': 81064793326224585, 'n': 47, 'trace_an': -5}
-
id: 243685047
{'hecke_orbit_code': 81064793326224585, 'n': 48, 'trace_an': 24}
-
id: 243685048
{'hecke_orbit_code': 81064793326224585, 'n': 49, 'trace_an': 0}
-
id: 243685049
{'hecke_orbit_code': 81064793326224585, 'n': 50, 'trace_an': 0}
-
id: 243685050
{'hecke_orbit_code': 81064793326224585, 'n': 51, 'trace_an': 11}
-
id: 243685051
{'hecke_orbit_code': 81064793326224585, 'n': 52, 'trace_an': 4}
-
id: 243685052
{'hecke_orbit_code': 81064793326224585, 'n': 53, 'trace_an': 2}
-
id: 243685053
{'hecke_orbit_code': 81064793326224585, 'n': 54, 'trace_an': -12}
-
id: 243685054
{'hecke_orbit_code': 81064793326224585, 'n': 55, 'trace_an': 0}
-
id: 243685055
{'hecke_orbit_code': 81064793326224585, 'n': 56, 'trace_an': 0}
-
id: 243685056
{'hecke_orbit_code': 81064793326224585, 'n': 57, 'trace_an': 14}
-
id: 243685057
{'hecke_orbit_code': 81064793326224585, 'n': 58, 'trace_an': 26}
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