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{'Nk2': 25600, 'analytic_conductor': 94.40305600918498, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -1]], 'atkin_lehner_string': '--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1600, 1, [1151, 901, 577], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [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': 0, 'hecke_cutters': [[3, [-2, 1]], [7, [26, 1]], [11, [28, 1]], [13, [12, 1]]], 'hecke_orbit': 33, 'hecke_orbit_code': 144115188142966336, 'hecke_ring_generator_nbound': 1, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1600.4.a.bg', 'level': 1600, '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], 'level_radical': 10, 'minimal_twist': '10.4.b.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+2q^{3}-26q^{7}-23q^{9}-28q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1600.4.a', 'trace_display': [0, 2, 0, -26], 'trace_hash': 2003803483414847335, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.997', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, {'__RealLiteral__': 0, 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mf_newspaces • Show schema
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{'ALdims': [27, 28, 26, 30], 'Nk2': 25600, 'analytic_conductor': 94.40305600918498, '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': [1600, 1, [1151, 901, 577], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 684, 'dim': 111, 'eis_dim': 72, 'eis_new_dim': 6, 'hecke_cutter_primes': [3, 7, 11, 13], 'hecke_orbit_code': 67110464, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '1600.4.a', 'level': 1600, '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], 'level_radical': 10, 'mf_dim': 756, 'mf_new_dim': 117, 'num_forms': 76, 'plus_dim': 57, 'prim_orbit_index': 1, 'relative_dim': 111, 'sturm_bound': 960, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [111, 0, 0, 0, 0, 0, 0, 0, 947, 0, 0, 0, 70, 0, 0, 0, 54, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, -202, 0, 0, 0, -176, 0, 0, 0, -514, 0, 0, 0, -282, 0, 0, 0, 0, 0, 0, 0, 4559, 0, 0, 0, -34, 0, 0, 0, 400, 0, 0, 0, -162, 0, 0, 0, 0, 0, 0, 0, 1432, 0, 0, 0, -146, 0, 0, 0, -1488, 0, 0, 0, 9247, 0, 0, 0, 0, 0, 0, 0, 894, 0, 0, 0, -1568, 0, 0, 0, 582, 0, 0, 0, -1578, 0, 0, 0, 0, 0, 0, 0, 3686, 0, 0, 0, 3766, 0, 0, 0, 670, 0, 0, 0, 11491, 0, 0, 0, 0, 0, 0, 0, -232, 0, 0, 0, -112, 0, 0, 0, 14, 0, 0, 0, -8232, 0, 0, 0, 0, 0, 0, 0, -1570, 0, 0, 0, 6926, 0, 0, 0, 7654, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 16185, 0, 0, 0, 7126, 0, 0, 0, -2448, 0, 0, 0, -2730, 0, 0, 0, 0, 0, 0, 0, -10624, 0, 0, 0, 870, 0, 0, 0, 6606, 0, 0, 0, 1960, 0, 0, 0, 0, 0, 0, 0, -1328, 0, 0, 0, 4544, 0, 0, 0, -4608, 0, 0, 0, 8100, 0, 0, 0, 0, 0, 0, 0, -15330, 0, 0, 0, 1934, 0, 0, 0, -26560, 0, 0, 0, -10834, 0, 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1}
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mf_twists_cc • Show schema
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id: 48797765
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188142966336, 'source_is_minimal': False, 'source_label': '1600.4.a.bg.1.1', 'source_level': 1600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 144115188142966336, 'target_is_minimal': False, 'target_label': '1600.4.a.bg.1.1', 'target_level': 1600, 'twist_class_label': '10.4.b.a.9.1', 'twist_class_level': 10, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 48797766
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188142966336, 'source_is_minimal': False, 'source_label': '1600.4.a.bg.1.1', 'source_level': 1600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992614520384, 'target_is_minimal': False, 'target_label': '1600.4.a.u.1.1', 'target_level': 1600, 'twist_class_label': '10.4.b.a.9.1', 'twist_class_level': 10, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48797767
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188142966336, 'source_is_minimal': False, 'source_label': '1600.4.a.bg.1.1', 'source_level': 1600, 'target_conrey_index': 129, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007336760803648, 'target_is_minimal': False, 'target_label': '320.4.c.c.129.1', 'target_level': 320, 'twist_class_label': '10.4.b.a.9.1', 'twist_class_level': 10, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48797768
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188142966336, 'source_is_minimal': False, 'source_label': '1600.4.a.bg.1.1', 'source_level': 1600, 'target_conrey_index': 129, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007336760803648, 'target_is_minimal': False, 'target_label': '320.4.c.c.129.2', 'target_level': 320, 'twist_class_label': '10.4.b.a.9.1', 'twist_class_level': 10, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48797769
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188142966336, 'source_is_minimal': False, 'source_label': '1600.4.a.bg.1.1', 'source_level': 1600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568392987149888, 'target_is_minimal': False, 'target_label': '1600.4.a.t.1.1', 'target_level': 1600, 'twist_class_label': '10.4.b.a.9.1', 'twist_class_level': 10, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 48797770
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188142966336, 'source_is_minimal': False, 'source_label': '1600.4.a.bg.1.1', 'source_level': 1600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798949220402, 'target_is_minimal': False, 'target_label': '50.4.a.d.1.1', 'target_level': 50, 'twist_class_label': '10.4.b.a.9.1', 'twist_class_level': 10, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48797771
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188142966336, 'source_is_minimal': False, 'source_label': '1600.4.a.bg.1.1', 'source_level': 1600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197458702736, 'target_is_minimal': False, 'target_label': '400.4.a.h.1.1', 'target_level': 400, 'twist_class_label': '10.4.b.a.9.1', 'twist_class_level': 10, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 48797772
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188142966336, 'source_is_minimal': False, 'source_label': '1600.4.a.bg.1.1', 'source_level': 1600, 'target_conrey_index': 129, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936388174144, 'target_is_minimal': False, 'target_label': '320.4.c.d.129.1', 'target_level': 320, 'twist_class_label': '10.4.b.a.9.1', 'twist_class_level': 10, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48797773
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188142966336, 'source_is_minimal': False, 'source_label': '1600.4.a.bg.1.1', 'source_level': 1600, 'target_conrey_index': 129, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510936388174144, 'target_is_minimal': False, 'target_label': '320.4.c.d.129.2', 'target_level': 320, 'twist_class_label': '10.4.b.a.9.1', 'twist_class_level': 10, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 48797774
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188142966336, 'source_is_minimal': False, 'source_label': '1600.4.a.bg.1.1', 'source_level': 1600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 148618787770336832, 'target_is_minimal': False, 'target_label': '1600.4.a.bh.1.1', 'target_level': 1600, 'twist_class_label': '10.4.b.a.9.1', 'twist_class_level': 10, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 48797775
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188142966336, 'source_is_minimal': False, 'source_label': '1600.4.a.bg.1.1', 'source_level': 1600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396713443778, 'target_is_minimal': False, 'target_label': '450.4.a.j.1.1', 'target_level': 450, 'twist_class_label': '10.4.b.a.9.1', 'twist_class_level': 10, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 48797776
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188142966336, 'source_is_minimal': False, 'source_label': '1600.4.a.bg.1.1', 'source_level': 1600, 'target_conrey_index': 9, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68786585610, 'target_is_minimal': True, 'target_label': '10.4.b.a.9.1', 'target_level': 10, 'twist_class_label': '10.4.b.a.9.1', 'twist_class_level': 10, 'twisting_char_label': '40.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 48797777
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188142966336, 'source_is_minimal': False, 'source_label': '1600.4.a.bg.1.1', 'source_level': 1600, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137506062416, 'target_is_minimal': False, 'target_label': '80.4.c.a.49.1', 'target_level': 80, 'twist_class_label': '10.4.b.a.9.1', 'twist_class_level': 10, 'twisting_char_label': '40.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 48797778
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188142966336, 'source_is_minimal': False, 'source_label': '1600.4.a.bg.1.1', 'source_level': 1600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694479410, 'target_is_minimal': False, 'target_label': '50.4.a.b.1.1', 'target_level': 50, 'twist_class_label': '10.4.b.a.9.1', 'twist_class_level': 10, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 48797779
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188142966336, 'source_is_minimal': False, 'source_label': '1600.4.a.bg.1.1', 'source_level': 1600, 'target_conrey_index': 9, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 68786585610, 'target_is_minimal': True, 'target_label': '10.4.b.a.9.2', 'target_level': 10, 'twist_class_label': '10.4.b.a.9.1', 'twist_class_level': 10, 'twisting_char_label': '40.27', 'twisting_conrey_index': 27, 'weight': 4}
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id: 48797780
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188142966336, 'source_is_minimal': False, 'source_label': '1600.4.a.bg.1.1', 'source_level': 1600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795222925712, 'target_is_minimal': False, 'target_label': '400.4.a.n.1.1', 'target_level': 400, 'twist_class_label': '10.4.b.a.9.1', 'twist_class_level': 10, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 48797781
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188142966336, 'source_is_minimal': False, 'source_label': '1600.4.a.bg.1.1', 'source_level': 1600, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 137506062416, 'target_is_minimal': False, 'target_label': '80.4.c.a.49.2', 'target_level': 80, 'twist_class_label': '10.4.b.a.9.1', 'twist_class_level': 10, 'twisting_char_label': '40.37', 'twisting_conrey_index': 37, 'weight': 4}
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id: 48797782
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188142966336, 'source_is_minimal': False, 'source_label': '1600.4.a.bg.1.1', 'source_level': 1600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 121597190006114706, 'target_is_minimal': False, 'target_label': '2450.4.a.bb.1.1', 'target_level': 2450, 'twist_class_label': '10.4.b.a.9.1', 'twist_class_level': 10, 'twisting_char_label': '56.27', 'twisting_conrey_index': 27, 'weight': 4}
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id: 48797783
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188142966336, 'source_is_minimal': False, 'source_label': '1600.4.a.bg.1.1', 'source_level': 1600, 'target_conrey_index': 289, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518341801345744, 'target_is_minimal': False, 'target_label': '720.4.f.f.289.1', 'target_level': 720, 'twist_class_label': '10.4.b.a.9.1', 'twist_class_level': 10, 'twisting_char_label': '120.53', 'twisting_conrey_index': 53, 'weight': 4}
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id: 48797784
{'conductor': 120, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188142966336, 'source_is_minimal': False, 'source_label': '1600.4.a.bg.1.1', 'source_level': 1600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996340814274, 'target_is_minimal': False, 'target_label': '450.4.a.k.1.1', 'target_level': 450, 'twist_class_label': '10.4.b.a.9.1', 'twist_class_level': 10, 'twisting_char_label': '120.59', 'twisting_conrey_index': 59, 'weight': 4}
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id: 48797785
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188142966336, 'source_is_minimal': False, 'source_label': '1600.4.a.bg.1.1', 'source_level': 1600, 'target_conrey_index': 289, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518341801345744, 'target_is_minimal': False, 'target_label': '720.4.f.f.289.2', 'target_level': 720, 'twist_class_label': '10.4.b.a.9.1', 'twist_class_level': 10, 'twisting_char_label': '120.77', 'twisting_conrey_index': 77, 'weight': 4}
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id: 48797786
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188142966336, 'source_is_minimal': False, 'source_label': '1600.4.a.bg.1.1', 'source_level': 1600, 'target_conrey_index': 19, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503737133432922, 'target_is_minimal': False, 'target_label': '90.4.c.b.19.2', 'target_level': 90, 'twist_class_label': '10.4.b.a.9.1', 'twist_class_level': 10, 'twisting_char_label': '120.83', 'twisting_conrey_index': 83, 'weight': 4}
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id: 48797787
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188142966336, 'source_is_minimal': False, 'source_label': '1600.4.a.bg.1.1', 'source_level': 1600, 'target_conrey_index': 19, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737133432922, 'target_is_minimal': False, 'target_label': '90.4.c.b.19.1', 'target_level': 90, 'twist_class_label': '10.4.b.a.9.1', 'twist_class_level': 10, 'twisting_char_label': '120.107', 'twisting_conrey_index': 107, 'weight': 4}
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id: 48797788
{'conductor': 280, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188142966336, 'source_is_minimal': False, 'source_label': '1600.4.a.bg.1.1', 'source_level': 1600, 'target_conrey_index': 99, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503737133433322, 'target_is_minimal': False, 'target_label': '490.4.c.b.99.2', 'target_level': 490, 'twist_class_label': '10.4.b.a.9.1', 'twist_class_level': 10, 'twisting_char_label': '280.27', 'twisting_conrey_index': 27, 'weight': 4}
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id: 48797789
{'conductor': 280, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188142966336, 'source_is_minimal': False, 'source_label': '1600.4.a.bg.1.1', 'source_level': 1600, 'target_conrey_index': 99, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737133433322, 'target_is_minimal': False, 'target_label': '490.4.c.b.99.1', 'target_level': 490, 'twist_class_label': '10.4.b.a.9.1', 'twist_class_level': 10, 'twisting_char_label': '280.83', 'twisting_conrey_index': 83, 'weight': 4}
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id: 48797790
{'conductor': 280, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188142966336, 'source_is_minimal': False, 'source_label': '1600.4.a.bg.1.1', 'source_level': 1600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394850298258, 'target_is_minimal': False, 'target_label': '2450.4.a.o.1.1', 'target_level': 2450, 'twist_class_label': '10.4.b.a.9.1', 'twist_class_level': 10, 'twisting_char_label': '280.139', 'twisting_conrey_index': 139, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1954000
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 144115188142966336, 'p': 2}
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id: 1954001
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 144115188142966336, 'p': 3}
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id: 1954002
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 144115188142966336, 'p': 5}
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id: 1954003
{'charpoly_factorization': [[[26, 1], 1]], 'hecke_orbit_code': 144115188142966336, 'p': 7}
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id: 1954004
{'charpoly_factorization': [[[28, 1], 1]], 'hecke_orbit_code': 144115188142966336, 'p': 11}
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id: 1954005
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 144115188142966336, 'p': 13}
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id: 1954006
{'charpoly_factorization': [[[64, 1], 1]], 'hecke_orbit_code': 144115188142966336, 'p': 17}
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id: 1954007
{'charpoly_factorization': [[[60, 1], 1]], 'hecke_orbit_code': 144115188142966336, 'p': 19}
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id: 1954008
{'charpoly_factorization': [[[-58, 1], 1]], 'hecke_orbit_code': 144115188142966336, 'p': 23}
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id: 1954009
{'charpoly_factorization': [[[90, 1], 1]], 'hecke_orbit_code': 144115188142966336, 'p': 29}
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id: 1954010
{'charpoly_factorization': [[[-128, 1], 1]], 'hecke_orbit_code': 144115188142966336, 'p': 31}
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id: 1954011
{'charpoly_factorization': [[[236, 1], 1]], 'hecke_orbit_code': 144115188142966336, 'p': 37}
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id: 1954012
{'charpoly_factorization': [[[-242, 1], 1]], 'hecke_orbit_code': 144115188142966336, 'p': 41}
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id: 1954013
{'charpoly_factorization': [[[-362, 1], 1]], 'hecke_orbit_code': 144115188142966336, 'p': 43}
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id: 1954014
{'charpoly_factorization': [[[226, 1], 1]], 'hecke_orbit_code': 144115188142966336, 'p': 47}
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id: 1954015
{'charpoly_factorization': [[[-108, 1], 1]], 'hecke_orbit_code': 144115188142966336, 'p': 53}
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id: 1954016
{'charpoly_factorization': [[[20, 1], 1]], 'hecke_orbit_code': 144115188142966336, 'p': 59}
-
id: 1954017
{'charpoly_factorization': [[[542, 1], 1]], 'hecke_orbit_code': 144115188142966336, 'p': 61}
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id: 1954018
{'charpoly_factorization': [[[434, 1], 1]], 'hecke_orbit_code': 144115188142966336, 'p': 67}
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id: 1954019
{'charpoly_factorization': [[[-1128, 1], 1]], 'hecke_orbit_code': 144115188142966336, 'p': 71}
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id: 1954020
{'charpoly_factorization': [[[-632, 1], 1]], 'hecke_orbit_code': 144115188142966336, 'p': 73}
-
id: 1954021
{'charpoly_factorization': [[[-720, 1], 1]], 'hecke_orbit_code': 144115188142966336, 'p': 79}
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id: 1954022
{'charpoly_factorization': [[[478, 1], 1]], 'hecke_orbit_code': 144115188142966336, 'p': 83}
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id: 1954023
{'charpoly_factorization': [[[490, 1], 1]], 'hecke_orbit_code': 144115188142966336, 'p': 89}
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id: 1954024
{'charpoly_factorization': [[[-1456, 1], 1]], 'hecke_orbit_code': 144115188142966336, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 33, 'label': '1600.4.a.bg', 'level': 1600, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 69228601
{'hecke_orbit_code': 144115188142966336, 'n': 1, 'trace_an': 1}
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id: 69228602
{'hecke_orbit_code': 144115188142966336, 'n': 2, 'trace_an': 0}
-
id: 69228603
{'hecke_orbit_code': 144115188142966336, 'n': 3, 'trace_an': 2}
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id: 69228604
{'hecke_orbit_code': 144115188142966336, 'n': 4, 'trace_an': 0}
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id: 69228605
{'hecke_orbit_code': 144115188142966336, 'n': 5, 'trace_an': 0}
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id: 69228606
{'hecke_orbit_code': 144115188142966336, 'n': 6, 'trace_an': 0}
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id: 69228607
{'hecke_orbit_code': 144115188142966336, 'n': 7, 'trace_an': -26}
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id: 69228608
{'hecke_orbit_code': 144115188142966336, 'n': 8, 'trace_an': 0}
-
id: 69228609
{'hecke_orbit_code': 144115188142966336, 'n': 9, 'trace_an': -23}
-
id: 69228610
{'hecke_orbit_code': 144115188142966336, 'n': 10, 'trace_an': 0}
-
id: 69228611
{'hecke_orbit_code': 144115188142966336, 'n': 11, 'trace_an': -28}
-
id: 69228612
{'hecke_orbit_code': 144115188142966336, 'n': 12, 'trace_an': 0}
-
id: 69228613
{'hecke_orbit_code': 144115188142966336, 'n': 13, 'trace_an': -12}
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id: 69228614
{'hecke_orbit_code': 144115188142966336, 'n': 14, 'trace_an': 0}
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id: 69228615
{'hecke_orbit_code': 144115188142966336, 'n': 15, 'trace_an': 0}
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id: 69228616
{'hecke_orbit_code': 144115188142966336, 'n': 16, 'trace_an': 0}
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id: 69228617
{'hecke_orbit_code': 144115188142966336, 'n': 17, 'trace_an': -64}
-
id: 69228618
{'hecke_orbit_code': 144115188142966336, 'n': 18, 'trace_an': 0}
-
id: 69228619
{'hecke_orbit_code': 144115188142966336, 'n': 19, 'trace_an': -60}
-
id: 69228620
{'hecke_orbit_code': 144115188142966336, 'n': 20, 'trace_an': 0}
-
id: 69228621
{'hecke_orbit_code': 144115188142966336, 'n': 21, 'trace_an': -52}
-
id: 69228622
{'hecke_orbit_code': 144115188142966336, 'n': 22, 'trace_an': 0}
-
id: 69228623
{'hecke_orbit_code': 144115188142966336, 'n': 23, 'trace_an': 58}
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id: 69228624
{'hecke_orbit_code': 144115188142966336, 'n': 24, 'trace_an': 0}
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